%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM376+1.030 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vNiicwl4PW true
% Computer : n007.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 04:46:27 PM UTC 2025
% Result : Unsatisfiable 37.97s 6.01s
% Output : Refutation 37.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 14988 (8615 unt; 0 typ; 0 def)
% Number of atoms : 26369 (26368 equ; 0 cnn)
% Maximal formula atoms : 1551 ( 1 avg)
% Number of connectives : 72194 (6834 ~;1141 |;4833 &;53979 @)
% ( 0 <=>; 0 =>;5407 <=; 0 <~>)
% Maximal formula depth : 1493 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 36 usr; 34 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 0 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(n23_type,type,
n23: $i ).
thf(n27_type,type,
n27: $i ).
thf(n25_type,type,
n25: $i ).
thf(n20_type,type,
n20: $i ).
thf(n12_type,type,
n12: $i ).
thf(n0_type,type,
n0: $i ).
thf(n4_type,type,
n4: $i ).
thf(n8_type,type,
n8: $i ).
thf(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(n28_type,type,
n28: $i ).
thf(n14_type,type,
n14: $i ).
thf(n26_type,type,
n26: $i ).
thf(n11_type,type,
n11: $i ).
thf(n29_type,type,
n29: $i ).
thf(n30_type,type,
n30: $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(pred_type,type,
pred: $i > $i ).
thf(n13_type,type,
n13: $i ).
thf(sk__type,type,
sk_: $i ).
thf(n6_type,type,
n6: $i ).
thf(sum_type,type,
sum: $i > $i > $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] :
( ( n29 != n30 )
& ( n28 != n30 )
& ( n28 != n29 )
& ( n27 != n30 )
& ( n27 != n29 )
& ( n27 != n28 )
& ( n26 != n30 )
& ( n26 != n29 )
& ( n26 != n28 )
& ( n26 != n27 )
& ( n25 != n30 )
& ( n25 != n29 )
& ( n25 != n28 )
& ( n25 != n27 )
& ( n25 != n26 )
& ( n24 != n30 )
& ( n24 != n29 )
& ( n24 != n28 )
& ( n24 != n27 )
& ( n24 != n26 )
& ( n24 != n25 )
& ( n23 != n30 )
& ( n23 != n29 )
& ( n23 != n28 )
& ( n23 != n27 )
& ( n23 != n26 )
& ( n23 != n25 )
& ( n23 != n24 )
& ( n22 != n30 )
& ( n22 != n29 )
& ( n22 != n28 )
& ( n22 != n27 )
& ( n22 != n26 )
& ( n22 != n25 )
& ( n22 != n24 )
& ( n22 != n23 )
& ( n21 != n30 )
& ( n21 != n29 )
& ( n21 != n28 )
& ( n21 != n27 )
& ( n21 != n26 )
& ( n21 != n25 )
& ( n21 != n24 )
& ( n21 != n23 )
& ( n21 != n22 )
& ( n20 != n30 )
& ( n20 != n29 )
& ( n20 != n28 )
& ( n20 != n27 )
& ( n20 != n26 )
& ( n20 != n25 )
& ( n20 != n24 )
& ( n20 != n23 )
& ( n20 != n22 )
& ( n20 != n21 )
& ( n19 != n30 )
& ( n19 != n29 )
& ( n19 != n28 )
& ( n19 != n27 )
& ( n19 != n26 )
& ( n19 != n25 )
& ( n19 != n24 )
& ( n19 != n23 )
& ( n19 != n22 )
& ( n19 != n21 )
& ( n19 != n20 )
& ( n18 != n30 )
& ( n18 != n29 )
& ( n18 != n28 )
& ( n18 != n27 )
& ( n18 != n26 )
& ( n18 != n25 )
& ( n18 != n24 )
& ( n18 != n23 )
& ( n18 != n22 )
& ( n18 != n21 )
& ( n18 != n20 )
& ( n18 != n19 )
& ( n17 != n30 )
& ( n17 != n29 )
& ( n17 != n28 )
& ( n17 != n27 )
& ( n17 != n26 )
& ( n17 != n25 )
& ( n17 != n24 )
& ( n17 != n23 )
& ( n17 != n22 )
& ( n17 != n21 )
& ( n17 != n20 )
& ( n17 != n19 )
& ( n17 != n18 )
& ( n16 != n30 )
& ( n16 != n29 )
& ( n16 != n28 )
& ( n16 != n27 )
& ( n16 != n26 )
& ( n16 != n25 )
& ( n16 != n24 )
& ( n16 != n23 )
& ( n16 != n22 )
& ( n16 != n21 )
& ( n16 != n20 )
& ( n16 != n19 )
& ( n16 != n18 )
& ( n16 != n17 )
& ( n15 != n30 )
& ( n15 != n29 )
& ( n15 != n28 )
& ( n15 != n27 )
& ( n15 != n26 )
& ( n15 != n25 )
& ( n15 != n24 )
& ( n15 != n23 )
& ( n15 != n22 )
& ( n15 != n21 )
& ( n15 != n20 )
& ( n15 != n19 )
& ( n15 != n18 )
& ( n15 != n17 )
& ( n15 != n16 )
& ( n14 != n30 )
& ( n14 != n29 )
& ( n14 != n28 )
& ( n14 != n27 )
& ( n14 != n26 )
& ( n14 != n25 )
& ( n14 != n24 )
& ( n14 != n23 )
& ( n14 != n22 )
& ( n14 != n21 )
& ( n14 != n20 )
& ( n14 != n19 )
& ( n14 != n18 )
& ( n14 != n17 )
& ( n14 != n16 )
& ( n14 != n15 )
& ( n13 != n30 )
& ( n13 != n29 )
& ( n13 != n28 )
& ( n13 != n27 )
& ( n13 != n26 )
& ( 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 != n30 )
& ( n12 != n29 )
& ( n12 != n28 )
& ( n12 != n27 )
& ( n12 != n26 )
& ( 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 != n30 )
& ( n11 != n29 )
& ( n11 != n28 )
& ( n11 != n27 )
& ( n11 != n26 )
& ( 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 != n30 )
& ( n10 != n29 )
& ( n10 != n28 )
& ( n10 != n27 )
& ( n10 != n26 )
& ( 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 != n30 )
& ( n9 != n29 )
& ( n9 != n28 )
& ( n9 != n27 )
& ( n9 != n26 )
& ( 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 != n30 )
& ( n8 != n29 )
& ( n8 != n28 )
& ( n8 != n27 )
& ( n8 != n26 )
& ( 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 != n30 )
& ( n7 != n29 )
& ( n7 != n28 )
& ( n7 != n27 )
& ( n7 != n26 )
& ( 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 != n30 )
& ( n6 != n29 )
& ( n6 != n28 )
& ( n6 != n27 )
& ( n6 != n26 )
& ( 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 != n30 )
& ( n5 != n29 )
& ( n5 != n28 )
& ( n5 != n27 )
& ( n5 != n26 )
& ( 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 != n30 )
& ( n4 != n29 )
& ( n4 != n28 )
& ( n4 != n27 )
& ( n4 != n26 )
& ( 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 != n30 )
& ( n3 != n29 )
& ( n3 != n28 )
& ( n3 != n27 )
& ( n3 != n26 )
& ( 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 != n30 )
& ( n2 != n29 )
& ( n2 != n28 )
& ( n2 != n27 )
& ( n2 != n26 )
& ( 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 != n30 )
& ( n1 != n29 )
& ( n1 != n28 )
& ( n1 != n27 )
& ( n1 != n26 )
& ( 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 != n30 )
& ( n0 != n29 )
& ( n0 != n28 )
& ( n0 != n27 )
& ( n0 != n26 )
& ( 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 = n30 )
| ( Y = n29 )
| ( Y = n28 )
| ( Y = n27 )
| ( Y = n26 )
| ( 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 = n30 )
| ( X = n29 )
| ( X = n28 )
| ( X = n27 )
| ( X = n26 )
| ( 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 @ n30 @ n30 )
= n29 )
& ( ( sum @ n30 @ n29 )
= n28 )
& ( ( sum @ n30 @ n28 )
= n27 )
& ( ( sum @ n30 @ n27 )
= n26 )
& ( ( sum @ n30 @ n26 )
= n25 )
& ( ( sum @ n30 @ n25 )
= n24 )
& ( ( sum @ n30 @ n24 )
= n23 )
& ( ( sum @ n30 @ n23 )
= n22 )
& ( ( sum @ n30 @ n22 )
= n21 )
& ( ( sum @ n30 @ n21 )
= n20 )
& ( ( sum @ n30 @ n20 )
= n19 )
& ( ( sum @ n30 @ n19 )
= n18 )
& ( ( sum @ n30 @ n18 )
= n17 )
& ( ( sum @ n30 @ n17 )
= n16 )
& ( ( sum @ n30 @ n16 )
= n15 )
& ( ( sum @ n30 @ n15 )
= n14 )
& ( ( sum @ n30 @ n14 )
= n13 )
& ( ( sum @ n30 @ n13 )
= n12 )
& ( ( sum @ n30 @ n12 )
= n11 )
& ( ( sum @ n30 @ n11 )
= n10 )
& ( ( sum @ n30 @ n10 )
= n9 )
& ( ( sum @ n30 @ n9 )
= n8 )
& ( ( sum @ n30 @ n8 )
= n7 )
& ( ( sum @ n30 @ n7 )
= n6 )
& ( ( sum @ n30 @ n6 )
= n5 )
& ( ( sum @ n30 @ n5 )
= n4 )
& ( ( sum @ n30 @ n4 )
= n3 )
& ( ( sum @ n30 @ n3 )
= n2 )
& ( ( sum @ n30 @ n2 )
= n1 )
& ( ( sum @ n30 @ n1 )
= n0 )
& ( ( sum @ n30 @ n0 )
= n30 )
& ( ( sum @ n29 @ n30 )
= n28 )
& ( ( sum @ n29 @ n29 )
= n27 )
& ( ( sum @ n29 @ n28 )
= n26 )
& ( ( sum @ n29 @ n27 )
= n25 )
& ( ( sum @ n29 @ n26 )
= n24 )
& ( ( sum @ n29 @ n25 )
= n23 )
& ( ( sum @ n29 @ n24 )
= n22 )
& ( ( sum @ n29 @ n23 )
= n21 )
& ( ( sum @ n29 @ n22 )
= n20 )
& ( ( sum @ n29 @ n21 )
= n19 )
& ( ( sum @ n29 @ n20 )
= n18 )
& ( ( sum @ n29 @ n19 )
= n17 )
& ( ( sum @ n29 @ n18 )
= n16 )
& ( ( sum @ n29 @ n17 )
= n15 )
& ( ( sum @ n29 @ n16 )
= n14 )
& ( ( sum @ n29 @ n15 )
= n13 )
& ( ( sum @ n29 @ n14 )
= n12 )
& ( ( sum @ n29 @ n13 )
= n11 )
& ( ( sum @ n29 @ n12 )
= n10 )
& ( ( sum @ n29 @ n11 )
= n9 )
& ( ( sum @ n29 @ n10 )
= n8 )
& ( ( sum @ n29 @ n9 )
= n7 )
& ( ( sum @ n29 @ n8 )
= n6 )
& ( ( sum @ n29 @ n7 )
= n5 )
& ( ( sum @ n29 @ n6 )
= n4 )
& ( ( sum @ n29 @ n5 )
= n3 )
& ( ( sum @ n29 @ n4 )
= n2 )
& ( ( sum @ n29 @ n3 )
= n1 )
& ( ( sum @ n29 @ n2 )
= n0 )
& ( ( sum @ n29 @ n1 )
= n30 )
& ( ( sum @ n29 @ n0 )
= n29 )
& ( ( sum @ n28 @ n30 )
= n27 )
& ( ( sum @ n28 @ n29 )
= n26 )
& ( ( sum @ n28 @ n28 )
= n25 )
& ( ( sum @ n28 @ n27 )
= n24 )
& ( ( sum @ n28 @ n26 )
= n23 )
& ( ( sum @ n28 @ n25 )
= n22 )
& ( ( sum @ n28 @ n24 )
= n21 )
& ( ( sum @ n28 @ n23 )
= n20 )
& ( ( sum @ n28 @ n22 )
= n19 )
& ( ( sum @ n28 @ n21 )
= n18 )
& ( ( sum @ n28 @ n20 )
= n17 )
& ( ( sum @ n28 @ n19 )
= n16 )
& ( ( sum @ n28 @ n18 )
= n15 )
& ( ( sum @ n28 @ n17 )
= n14 )
& ( ( sum @ n28 @ n16 )
= n13 )
& ( ( sum @ n28 @ n15 )
= n12 )
& ( ( sum @ n28 @ n14 )
= n11 )
& ( ( sum @ n28 @ n13 )
= n10 )
& ( ( sum @ n28 @ n12 )
= n9 )
& ( ( sum @ n28 @ n11 )
= n8 )
& ( ( sum @ n28 @ n10 )
= n7 )
& ( ( sum @ n28 @ n9 )
= n6 )
& ( ( sum @ n28 @ n8 )
= n5 )
& ( ( sum @ n28 @ n7 )
= n4 )
& ( ( sum @ n28 @ n6 )
= n3 )
& ( ( sum @ n28 @ n5 )
= n2 )
& ( ( sum @ n28 @ n4 )
= n1 )
& ( ( sum @ n28 @ n3 )
= n0 )
& ( ( sum @ n28 @ n2 )
= n30 )
& ( ( sum @ n28 @ n1 )
= n29 )
& ( ( sum @ n28 @ n0 )
= n28 )
& ( ( sum @ n27 @ n30 )
= n26 )
& ( ( sum @ n27 @ n29 )
= n25 )
& ( ( sum @ n27 @ n28 )
= n24 )
& ( ( sum @ n27 @ n27 )
= n23 )
& ( ( sum @ n27 @ n26 )
= n22 )
& ( ( sum @ n27 @ n25 )
= n21 )
& ( ( sum @ n27 @ n24 )
= n20 )
& ( ( sum @ n27 @ n23 )
= n19 )
& ( ( sum @ n27 @ n22 )
= n18 )
& ( ( sum @ n27 @ n21 )
= n17 )
& ( ( sum @ n27 @ n20 )
= n16 )
& ( ( sum @ n27 @ n19 )
= n15 )
& ( ( sum @ n27 @ n18 )
= n14 )
& ( ( sum @ n27 @ n17 )
= n13 )
& ( ( sum @ n27 @ n16 )
= n12 )
& ( ( sum @ n27 @ n15 )
= n11 )
& ( ( sum @ n27 @ n14 )
= n10 )
& ( ( sum @ n27 @ n13 )
= n9 )
& ( ( sum @ n27 @ n12 )
= n8 )
& ( ( sum @ n27 @ n11 )
= n7 )
& ( ( sum @ n27 @ n10 )
= n6 )
& ( ( sum @ n27 @ n9 )
= n5 )
& ( ( sum @ n27 @ n8 )
= n4 )
& ( ( sum @ n27 @ n7 )
= n3 )
& ( ( sum @ n27 @ n6 )
= n2 )
& ( ( sum @ n27 @ n5 )
= n1 )
& ( ( sum @ n27 @ n4 )
= n0 )
& ( ( sum @ n27 @ n3 )
= n30 )
& ( ( sum @ n27 @ n2 )
= n29 )
& ( ( sum @ n27 @ n1 )
= n28 )
& ( ( sum @ n27 @ n0 )
= n27 )
& ( ( sum @ n26 @ n30 )
= n25 )
& ( ( sum @ n26 @ n29 )
= n24 )
& ( ( sum @ n26 @ n28 )
= n23 )
& ( ( sum @ n26 @ n27 )
= n22 )
& ( ( sum @ n26 @ n26 )
= n21 )
& ( ( sum @ n26 @ n25 )
= n20 )
& ( ( sum @ n26 @ n24 )
= n19 )
& ( ( sum @ n26 @ n23 )
= n18 )
& ( ( sum @ n26 @ n22 )
= n17 )
& ( ( sum @ n26 @ n21 )
= n16 )
& ( ( sum @ n26 @ n20 )
= n15 )
& ( ( sum @ n26 @ n19 )
= n14 )
& ( ( sum @ n26 @ n18 )
= n13 )
& ( ( sum @ n26 @ n17 )
= n12 )
& ( ( sum @ n26 @ n16 )
= n11 )
& ( ( sum @ n26 @ n15 )
= n10 )
& ( ( sum @ n26 @ n14 )
= n9 )
& ( ( sum @ n26 @ n13 )
= n8 )
& ( ( sum @ n26 @ n12 )
= n7 )
& ( ( sum @ n26 @ n11 )
= n6 )
& ( ( sum @ n26 @ n10 )
= n5 )
& ( ( sum @ n26 @ n9 )
= n4 )
& ( ( sum @ n26 @ n8 )
= n3 )
& ( ( sum @ n26 @ n7 )
= n2 )
& ( ( sum @ n26 @ n6 )
= n1 )
& ( ( sum @ n26 @ n5 )
= n0 )
& ( ( sum @ n26 @ n4 )
= n30 )
& ( ( sum @ n26 @ n3 )
= n29 )
& ( ( sum @ n26 @ n2 )
= n28 )
& ( ( sum @ n26 @ n1 )
= n27 )
& ( ( sum @ n26 @ n0 )
= n26 )
& ( ( sum @ n25 @ n30 )
= n24 )
& ( ( sum @ n25 @ n29 )
= n23 )
& ( ( sum @ n25 @ n28 )
= n22 )
& ( ( sum @ n25 @ n27 )
= n21 )
& ( ( sum @ n25 @ n26 )
= n20 )
& ( ( sum @ n25 @ n25 )
= n19 )
& ( ( sum @ n25 @ n24 )
= n18 )
& ( ( sum @ n25 @ n23 )
= n17 )
& ( ( sum @ n25 @ n22 )
= n16 )
& ( ( sum @ n25 @ n21 )
= n15 )
& ( ( sum @ n25 @ n20 )
= n14 )
& ( ( sum @ n25 @ n19 )
= n13 )
& ( ( sum @ n25 @ n18 )
= n12 )
& ( ( sum @ n25 @ n17 )
= n11 )
& ( ( sum @ n25 @ n16 )
= n10 )
& ( ( sum @ n25 @ n15 )
= n9 )
& ( ( sum @ n25 @ n14 )
= n8 )
& ( ( sum @ n25 @ n13 )
= n7 )
& ( ( sum @ n25 @ n12 )
= n6 )
& ( ( sum @ n25 @ n11 )
= n5 )
& ( ( sum @ n25 @ n10 )
= n4 )
& ( ( sum @ n25 @ n9 )
= n3 )
& ( ( sum @ n25 @ n8 )
= n2 )
& ( ( sum @ n25 @ n7 )
= n1 )
& ( ( sum @ n25 @ n6 )
= n0 )
& ( ( sum @ n25 @ n5 )
= n30 )
& ( ( sum @ n25 @ n4 )
= n29 )
& ( ( sum @ n25 @ n3 )
= n28 )
& ( ( sum @ n25 @ n2 )
= n27 )
& ( ( sum @ n25 @ n1 )
= n26 )
& ( ( sum @ n25 @ n0 )
= n25 )
& ( ( sum @ n24 @ n30 )
= n23 )
& ( ( sum @ n24 @ n29 )
= n22 )
& ( ( sum @ n24 @ n28 )
= n21 )
& ( ( sum @ n24 @ n27 )
= n20 )
& ( ( sum @ n24 @ n26 )
= n19 )
& ( ( sum @ n24 @ n25 )
= n18 )
& ( ( sum @ n24 @ n24 )
= n17 )
& ( ( sum @ n24 @ n23 )
= n16 )
& ( ( sum @ n24 @ n22 )
= n15 )
& ( ( sum @ n24 @ n21 )
= n14 )
& ( ( sum @ n24 @ n20 )
= n13 )
& ( ( sum @ n24 @ n19 )
= n12 )
& ( ( sum @ n24 @ n18 )
= n11 )
& ( ( sum @ n24 @ n17 )
= n10 )
& ( ( sum @ n24 @ n16 )
= n9 )
& ( ( sum @ n24 @ n15 )
= n8 )
& ( ( sum @ n24 @ n14 )
= n7 )
& ( ( sum @ n24 @ n13 )
= n6 )
& ( ( sum @ n24 @ n12 )
= n5 )
& ( ( sum @ n24 @ n11 )
= n4 )
& ( ( sum @ n24 @ n10 )
= n3 )
& ( ( sum @ n24 @ n9 )
= n2 )
& ( ( sum @ n24 @ n8 )
= n1 )
& ( ( sum @ n24 @ n7 )
= n0 )
& ( ( sum @ n24 @ n6 )
= n30 )
& ( ( sum @ n24 @ n5 )
= n29 )
& ( ( sum @ n24 @ n4 )
= n28 )
& ( ( sum @ n24 @ n3 )
= n27 )
& ( ( sum @ n24 @ n2 )
= n26 )
& ( ( sum @ n24 @ n1 )
= n25 )
& ( ( sum @ n24 @ n0 )
= n24 )
& ( ( sum @ n23 @ n30 )
= n22 )
& ( ( sum @ n23 @ n29 )
= n21 )
& ( ( sum @ n23 @ n28 )
= n20 )
& ( ( sum @ n23 @ n27 )
= n19 )
& ( ( sum @ n23 @ n26 )
= n18 )
& ( ( sum @ n23 @ n25 )
= n17 )
& ( ( sum @ n23 @ n24 )
= n16 )
& ( ( sum @ n23 @ n23 )
= n15 )
& ( ( sum @ n23 @ n22 )
= n14 )
& ( ( sum @ n23 @ n21 )
= n13 )
& ( ( sum @ n23 @ n20 )
= n12 )
& ( ( sum @ n23 @ n19 )
= n11 )
& ( ( sum @ n23 @ n18 )
= n10 )
& ( ( sum @ n23 @ n17 )
= n9 )
& ( ( sum @ n23 @ n16 )
= n8 )
& ( ( sum @ n23 @ n15 )
= n7 )
& ( ( sum @ n23 @ n14 )
= n6 )
& ( ( sum @ n23 @ n13 )
= n5 )
& ( ( sum @ n23 @ n12 )
= n4 )
& ( ( sum @ n23 @ n11 )
= n3 )
& ( ( sum @ n23 @ n10 )
= n2 )
& ( ( sum @ n23 @ n9 )
= n1 )
& ( ( sum @ n23 @ n8 )
= n0 )
& ( ( sum @ n23 @ n7 )
= n30 )
& ( ( sum @ n23 @ n6 )
= n29 )
& ( ( sum @ n23 @ n5 )
= n28 )
& ( ( sum @ n23 @ n4 )
= n27 )
& ( ( sum @ n23 @ n3 )
= n26 )
& ( ( sum @ n23 @ n2 )
= n25 )
& ( ( sum @ n23 @ n1 )
= n24 )
& ( ( sum @ n23 @ n0 )
= n23 )
& ( ( sum @ n22 @ n30 )
= n21 )
& ( ( sum @ n22 @ n29 )
= n20 )
& ( ( sum @ n22 @ n28 )
= n19 )
& ( ( sum @ n22 @ n27 )
= n18 )
& ( ( sum @ n22 @ n26 )
= n17 )
& ( ( sum @ n22 @ n25 )
= n16 )
& ( ( sum @ n22 @ n24 )
= n15 )
& ( ( sum @ n22 @ n23 )
= n14 )
& ( ( sum @ n22 @ n22 )
= n13 )
& ( ( sum @ n22 @ n21 )
= n12 )
& ( ( sum @ n22 @ n20 )
= n11 )
& ( ( sum @ n22 @ n19 )
= n10 )
& ( ( sum @ n22 @ n18 )
= n9 )
& ( ( sum @ n22 @ n17 )
= n8 )
& ( ( sum @ n22 @ n16 )
= n7 )
& ( ( sum @ n22 @ n15 )
= n6 )
& ( ( sum @ n22 @ n14 )
= n5 )
& ( ( sum @ n22 @ n13 )
= n4 )
& ( ( sum @ n22 @ n12 )
= n3 )
& ( ( sum @ n22 @ n11 )
= n2 )
& ( ( sum @ n22 @ n10 )
= n1 )
& ( ( sum @ n22 @ n9 )
= n0 )
& ( ( sum @ n22 @ n8 )
= n30 )
& ( ( sum @ n22 @ n7 )
= n29 )
& ( ( sum @ n22 @ n6 )
= n28 )
& ( ( sum @ n22 @ n5 )
= n27 )
& ( ( sum @ n22 @ n4 )
= n26 )
& ( ( sum @ n22 @ n3 )
= n25 )
& ( ( sum @ n22 @ n2 )
= n24 )
& ( ( sum @ n22 @ n1 )
= n23 )
& ( ( sum @ n22 @ n0 )
= n22 )
& ( ( sum @ n21 @ n30 )
= n20 )
& ( ( sum @ n21 @ n29 )
= n19 )
& ( ( sum @ n21 @ n28 )
= n18 )
& ( ( sum @ n21 @ n27 )
= n17 )
& ( ( sum @ n21 @ n26 )
= n16 )
& ( ( sum @ n21 @ n25 )
= n15 )
& ( ( sum @ n21 @ n24 )
= n14 )
& ( ( sum @ n21 @ n23 )
= n13 )
& ( ( sum @ n21 @ n22 )
= n12 )
& ( ( sum @ n21 @ n21 )
= n11 )
& ( ( sum @ n21 @ n20 )
= n10 )
& ( ( sum @ n21 @ n19 )
= n9 )
& ( ( sum @ n21 @ n18 )
= n8 )
& ( ( sum @ n21 @ n17 )
= n7 )
& ( ( sum @ n21 @ n16 )
= n6 )
& ( ( sum @ n21 @ n15 )
= n5 )
& ( ( sum @ n21 @ n14 )
= n4 )
& ( ( sum @ n21 @ n13 )
= n3 )
& ( ( sum @ n21 @ n12 )
= n2 )
& ( ( sum @ n21 @ n11 )
= n1 )
& ( ( sum @ n21 @ n10 )
= n0 )
& ( ( sum @ n21 @ n9 )
= n30 )
& ( ( sum @ n21 @ n8 )
= n29 )
& ( ( sum @ n21 @ n7 )
= n28 )
& ( ( sum @ n21 @ n6 )
= n27 )
& ( ( sum @ n21 @ n5 )
= n26 )
& ( ( sum @ n21 @ n4 )
= n25 )
& ( ( sum @ n21 @ n3 )
= n24 )
& ( ( sum @ n21 @ n2 )
= n23 )
& ( ( sum @ n21 @ n1 )
= n22 )
& ( ( sum @ n21 @ n0 )
= n21 )
& ( ( sum @ n20 @ n30 )
= n19 )
& ( ( sum @ n20 @ n29 )
= n18 )
& ( ( sum @ n20 @ n28 )
= n17 )
& ( ( sum @ n20 @ n27 )
= n16 )
& ( ( sum @ n20 @ n26 )
= n15 )
& ( ( sum @ n20 @ n25 )
= n14 )
& ( ( sum @ n20 @ n24 )
= n13 )
& ( ( sum @ n20 @ n23 )
= n12 )
& ( ( sum @ n20 @ n22 )
= n11 )
& ( ( sum @ n20 @ n21 )
= n10 )
& ( ( sum @ n20 @ n20 )
= n9 )
& ( ( sum @ n20 @ n19 )
= n8 )
& ( ( sum @ n20 @ n18 )
= n7 )
& ( ( sum @ n20 @ n17 )
= n6 )
& ( ( sum @ n20 @ n16 )
= n5 )
& ( ( sum @ n20 @ n15 )
= n4 )
& ( ( sum @ n20 @ n14 )
= n3 )
& ( ( sum @ n20 @ n13 )
= n2 )
& ( ( sum @ n20 @ n12 )
= n1 )
& ( ( sum @ n20 @ n11 )
= n0 )
& ( ( sum @ n20 @ n10 )
= n30 )
& ( ( sum @ n20 @ n9 )
= n29 )
& ( ( sum @ n20 @ n8 )
= n28 )
& ( ( sum @ n20 @ n7 )
= n27 )
& ( ( sum @ n20 @ n6 )
= n26 )
& ( ( 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 @ n30 )
= n18 )
& ( ( sum @ n19 @ n29 )
= n17 )
& ( ( sum @ n19 @ n28 )
= n16 )
& ( ( sum @ n19 @ n27 )
= n15 )
& ( ( sum @ n19 @ n26 )
= n14 )
& ( ( sum @ n19 @ n25 )
= n13 )
& ( ( sum @ n19 @ n24 )
= n12 )
& ( ( sum @ n19 @ n23 )
= n11 )
& ( ( sum @ n19 @ n22 )
= n10 )
& ( ( sum @ n19 @ n21 )
= n9 )
& ( ( sum @ n19 @ n20 )
= n8 )
& ( ( sum @ n19 @ n19 )
= n7 )
& ( ( sum @ n19 @ n18 )
= n6 )
& ( ( sum @ n19 @ n17 )
= n5 )
& ( ( sum @ n19 @ n16 )
= n4 )
& ( ( sum @ n19 @ n15 )
= n3 )
& ( ( sum @ n19 @ n14 )
= n2 )
& ( ( sum @ n19 @ n13 )
= n1 )
& ( ( sum @ n19 @ n12 )
= n0 )
& ( ( sum @ n19 @ n11 )
= n30 )
& ( ( sum @ n19 @ n10 )
= n29 )
& ( ( sum @ n19 @ n9 )
= n28 )
& ( ( sum @ n19 @ n8 )
= n27 )
& ( ( sum @ n19 @ n7 )
= n26 )
& ( ( 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 @ n30 )
= n17 )
& ( ( sum @ n18 @ n29 )
= n16 )
& ( ( sum @ n18 @ n28 )
= n15 )
& ( ( sum @ n18 @ n27 )
= n14 )
& ( ( sum @ n18 @ n26 )
= n13 )
& ( ( sum @ n18 @ n25 )
= n12 )
& ( ( sum @ n18 @ n24 )
= n11 )
& ( ( sum @ n18 @ n23 )
= n10 )
& ( ( sum @ n18 @ n22 )
= n9 )
& ( ( sum @ n18 @ n21 )
= n8 )
& ( ( sum @ n18 @ n20 )
= n7 )
& ( ( sum @ n18 @ n19 )
= n6 )
& ( ( sum @ n18 @ n18 )
= n5 )
& ( ( sum @ n18 @ n17 )
= n4 )
& ( ( sum @ n18 @ n16 )
= n3 )
& ( ( sum @ n18 @ n15 )
= n2 )
& ( ( sum @ n18 @ n14 )
= n1 )
& ( ( sum @ n18 @ n13 )
= n0 )
& ( ( sum @ n18 @ n12 )
= n30 )
& ( ( sum @ n18 @ n11 )
= n29 )
& ( ( sum @ n18 @ n10 )
= n28 )
& ( ( sum @ n18 @ n9 )
= n27 )
& ( ( sum @ n18 @ n8 )
= n26 )
& ( ( 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 @ n30 )
= n16 )
& ( ( sum @ n17 @ n29 )
= n15 )
& ( ( sum @ n17 @ n28 )
= n14 )
& ( ( sum @ n17 @ n27 )
= n13 )
& ( ( sum @ n17 @ n26 )
= n12 )
& ( ( sum @ n17 @ n25 )
= n11 )
& ( ( sum @ n17 @ n24 )
= n10 )
& ( ( sum @ n17 @ n23 )
= n9 )
& ( ( sum @ n17 @ n22 )
= n8 )
& ( ( sum @ n17 @ n21 )
= n7 )
& ( ( sum @ n17 @ n20 )
= n6 )
& ( ( sum @ n17 @ n19 )
= n5 )
& ( ( sum @ n17 @ n18 )
= n4 )
& ( ( sum @ n17 @ n17 )
= n3 )
& ( ( sum @ n17 @ n16 )
= n2 )
& ( ( sum @ n17 @ n15 )
= n1 )
& ( ( sum @ n17 @ n14 )
= n0 )
& ( ( sum @ n17 @ n13 )
= n30 )
& ( ( sum @ n17 @ n12 )
= n29 )
& ( ( sum @ n17 @ n11 )
= n28 )
& ( ( sum @ n17 @ n10 )
= n27 )
& ( ( sum @ n17 @ n9 )
= n26 )
& ( ( 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 @ n30 )
= n15 )
& ( ( sum @ n16 @ n29 )
= n14 )
& ( ( sum @ n16 @ n28 )
= n13 )
& ( ( sum @ n16 @ n27 )
= n12 )
& ( ( sum @ n16 @ n26 )
= n11 )
& ( ( sum @ n16 @ n25 )
= n10 )
& ( ( sum @ n16 @ n24 )
= n9 )
& ( ( sum @ n16 @ n23 )
= n8 )
& ( ( sum @ n16 @ n22 )
= n7 )
& ( ( sum @ n16 @ n21 )
= n6 )
& ( ( sum @ n16 @ n20 )
= n5 )
& ( ( sum @ n16 @ n19 )
= n4 )
& ( ( sum @ n16 @ n18 )
= n3 )
& ( ( sum @ n16 @ n17 )
= n2 )
& ( ( sum @ n16 @ n16 )
= n1 )
& ( ( sum @ n16 @ n15 )
= n0 )
& ( ( sum @ n16 @ n14 )
= n30 )
& ( ( sum @ n16 @ n13 )
= n29 )
& ( ( sum @ n16 @ n12 )
= n28 )
& ( ( sum @ n16 @ n11 )
= n27 )
& ( ( sum @ n16 @ n10 )
= n26 )
& ( ( 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 @ n30 )
= n14 )
& ( ( sum @ n15 @ n29 )
= n13 )
& ( ( sum @ n15 @ n28 )
= n12 )
& ( ( sum @ n15 @ n27 )
= n11 )
& ( ( sum @ n15 @ n26 )
= n10 )
& ( ( sum @ n15 @ n25 )
= n9 )
& ( ( sum @ n15 @ n24 )
= n8 )
& ( ( sum @ n15 @ n23 )
= n7 )
& ( ( sum @ n15 @ n22 )
= n6 )
& ( ( sum @ n15 @ n21 )
= n5 )
& ( ( sum @ n15 @ n20 )
= n4 )
& ( ( sum @ n15 @ n19 )
= n3 )
& ( ( sum @ n15 @ n18 )
= n2 )
& ( ( sum @ n15 @ n17 )
= n1 )
& ( ( sum @ n15 @ n16 )
= n0 )
& ( ( sum @ n15 @ n15 )
= n30 )
& ( ( sum @ n15 @ n14 )
= n29 )
& ( ( sum @ n15 @ n13 )
= n28 )
& ( ( sum @ n15 @ n12 )
= n27 )
& ( ( sum @ n15 @ n11 )
= n26 )
& ( ( 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 @ n30 )
= n13 )
& ( ( sum @ n14 @ n29 )
= n12 )
& ( ( sum @ n14 @ n28 )
= n11 )
& ( ( sum @ n14 @ n27 )
= n10 )
& ( ( sum @ n14 @ n26 )
= n9 )
& ( ( sum @ n14 @ n25 )
= n8 )
& ( ( sum @ n14 @ n24 )
= n7 )
& ( ( sum @ n14 @ n23 )
= n6 )
& ( ( sum @ n14 @ n22 )
= n5 )
& ( ( sum @ n14 @ n21 )
= n4 )
& ( ( sum @ n14 @ n20 )
= n3 )
& ( ( sum @ n14 @ n19 )
= n2 )
& ( ( sum @ n14 @ n18 )
= n1 )
& ( ( sum @ n14 @ n17 )
= n0 )
& ( ( sum @ n14 @ n16 )
= n30 )
& ( ( sum @ n14 @ n15 )
= n29 )
& ( ( sum @ n14 @ n14 )
= n28 )
& ( ( sum @ n14 @ n13 )
= n27 )
& ( ( sum @ n14 @ n12 )
= n26 )
& ( ( 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 @ n30 )
= n12 )
& ( ( sum @ n13 @ n29 )
= n11 )
& ( ( sum @ n13 @ n28 )
= n10 )
& ( ( sum @ n13 @ n27 )
= n9 )
& ( ( sum @ n13 @ n26 )
= n8 )
& ( ( sum @ n13 @ n25 )
= n7 )
& ( ( sum @ n13 @ n24 )
= n6 )
& ( ( sum @ n13 @ n23 )
= n5 )
& ( ( sum @ n13 @ n22 )
= n4 )
& ( ( sum @ n13 @ n21 )
= n3 )
& ( ( sum @ n13 @ n20 )
= n2 )
& ( ( sum @ n13 @ n19 )
= n1 )
& ( ( sum @ n13 @ n18 )
= n0 )
& ( ( sum @ n13 @ n17 )
= n30 )
& ( ( sum @ n13 @ n16 )
= n29 )
& ( ( sum @ n13 @ n15 )
= n28 )
& ( ( sum @ n13 @ n14 )
= n27 )
& ( ( sum @ n13 @ n13 )
= n26 )
& ( ( 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 @ n30 )
= n11 )
& ( ( sum @ n12 @ n29 )
= n10 )
& ( ( sum @ n12 @ n28 )
= n9 )
& ( ( sum @ n12 @ n27 )
= n8 )
& ( ( sum @ n12 @ n26 )
= n7 )
& ( ( sum @ n12 @ n25 )
= n6 )
& ( ( sum @ n12 @ n24 )
= n5 )
& ( ( sum @ n12 @ n23 )
= n4 )
& ( ( sum @ n12 @ n22 )
= n3 )
& ( ( sum @ n12 @ n21 )
= n2 )
& ( ( sum @ n12 @ n20 )
= n1 )
& ( ( sum @ n12 @ n19 )
= n0 )
& ( ( sum @ n12 @ n18 )
= n30 )
& ( ( sum @ n12 @ n17 )
= n29 )
& ( ( sum @ n12 @ n16 )
= n28 )
& ( ( sum @ n12 @ n15 )
= n27 )
& ( ( sum @ n12 @ n14 )
= n26 )
& ( ( 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 @ n30 )
= n10 )
& ( ( sum @ n11 @ n29 )
= n9 )
& ( ( sum @ n11 @ n28 )
= n8 )
& ( ( sum @ n11 @ n27 )
= n7 )
& ( ( sum @ n11 @ n26 )
= n6 )
& ( ( sum @ n11 @ n25 )
= n5 )
& ( ( sum @ n11 @ n24 )
= n4 )
& ( ( sum @ n11 @ n23 )
= n3 )
& ( ( sum @ n11 @ n22 )
= n2 )
& ( ( sum @ n11 @ n21 )
= n1 )
& ( ( sum @ n11 @ n20 )
= n0 )
& ( ( sum @ n11 @ n19 )
= n30 )
& ( ( sum @ n11 @ n18 )
= n29 )
& ( ( sum @ n11 @ n17 )
= n28 )
& ( ( sum @ n11 @ n16 )
= n27 )
& ( ( sum @ n11 @ n15 )
= n26 )
& ( ( 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 @ n30 )
= n9 )
& ( ( sum @ n10 @ n29 )
= n8 )
& ( ( sum @ n10 @ n28 )
= n7 )
& ( ( sum @ n10 @ n27 )
= n6 )
& ( ( sum @ n10 @ n26 )
= n5 )
& ( ( sum @ n10 @ n25 )
= n4 )
& ( ( sum @ n10 @ n24 )
= n3 )
& ( ( sum @ n10 @ n23 )
= n2 )
& ( ( sum @ n10 @ n22 )
= n1 )
& ( ( sum @ n10 @ n21 )
= n0 )
& ( ( sum @ n10 @ n20 )
= n30 )
& ( ( sum @ n10 @ n19 )
= n29 )
& ( ( sum @ n10 @ n18 )
= n28 )
& ( ( sum @ n10 @ n17 )
= n27 )
& ( ( sum @ n10 @ n16 )
= n26 )
& ( ( 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 @ n30 )
= n8 )
& ( ( sum @ n9 @ n29 )
= n7 )
& ( ( sum @ n9 @ n28 )
= n6 )
& ( ( sum @ n9 @ n27 )
= n5 )
& ( ( sum @ n9 @ n26 )
= n4 )
& ( ( sum @ n9 @ n25 )
= n3 )
& ( ( sum @ n9 @ n24 )
= n2 )
& ( ( sum @ n9 @ n23 )
= n1 )
& ( ( sum @ n9 @ n22 )
= n0 )
& ( ( sum @ n9 @ n21 )
= n30 )
& ( ( sum @ n9 @ n20 )
= n29 )
& ( ( sum @ n9 @ n19 )
= n28 )
& ( ( sum @ n9 @ n18 )
= n27 )
& ( ( sum @ n9 @ n17 )
= n26 )
& ( ( 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 @ n30 )
= n7 )
& ( ( sum @ n8 @ n29 )
= n6 )
& ( ( sum @ n8 @ n28 )
= n5 )
& ( ( sum @ n8 @ n27 )
= n4 )
& ( ( sum @ n8 @ n26 )
= n3 )
& ( ( sum @ n8 @ n25 )
= n2 )
& ( ( sum @ n8 @ n24 )
= n1 )
& ( ( sum @ n8 @ n23 )
= n0 )
& ( ( sum @ n8 @ n22 )
= n30 )
& ( ( sum @ n8 @ n21 )
= n29 )
& ( ( sum @ n8 @ n20 )
= n28 )
& ( ( sum @ n8 @ n19 )
= n27 )
& ( ( sum @ n8 @ n18 )
= n26 )
& ( ( 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 @ n30 )
= n6 )
& ( ( sum @ n7 @ n29 )
= n5 )
& ( ( sum @ n7 @ n28 )
= n4 )
& ( ( sum @ n7 @ n27 )
= n3 )
& ( ( sum @ n7 @ n26 )
= n2 )
& ( ( sum @ n7 @ n25 )
= n1 )
& ( ( sum @ n7 @ n24 )
= n0 )
& ( ( sum @ n7 @ n23 )
= n30 )
& ( ( sum @ n7 @ n22 )
= n29 )
& ( ( sum @ n7 @ n21 )
= n28 )
& ( ( sum @ n7 @ n20 )
= n27 )
& ( ( sum @ n7 @ n19 )
= n26 )
& ( ( 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 @ n30 )
= n5 )
& ( ( sum @ n6 @ n29 )
= n4 )
& ( ( sum @ n6 @ n28 )
= n3 )
& ( ( sum @ n6 @ n27 )
= n2 )
& ( ( sum @ n6 @ n26 )
= n1 )
& ( ( sum @ n6 @ n25 )
= n0 )
& ( ( sum @ n6 @ n24 )
= n30 )
& ( ( sum @ n6 @ n23 )
= n29 )
& ( ( sum @ n6 @ n22 )
= n28 )
& ( ( sum @ n6 @ n21 )
= n27 )
& ( ( sum @ n6 @ n20 )
= n26 )
& ( ( 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 @ n30 )
= n4 )
& ( ( sum @ n5 @ n29 )
= n3 )
& ( ( sum @ n5 @ n28 )
= n2 )
& ( ( sum @ n5 @ n27 )
= n1 )
& ( ( sum @ n5 @ n26 )
= n0 )
& ( ( sum @ n5 @ n25 )
= n30 )
& ( ( sum @ n5 @ n24 )
= n29 )
& ( ( sum @ n5 @ n23 )
= n28 )
& ( ( sum @ n5 @ n22 )
= n27 )
& ( ( sum @ n5 @ n21 )
= n26 )
& ( ( 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 @ n30 )
= n3 )
& ( ( sum @ n4 @ n29 )
= n2 )
& ( ( sum @ n4 @ n28 )
= n1 )
& ( ( sum @ n4 @ n27 )
= n0 )
& ( ( sum @ n4 @ n26 )
= n30 )
& ( ( sum @ n4 @ n25 )
= n29 )
& ( ( sum @ n4 @ n24 )
= n28 )
& ( ( sum @ n4 @ n23 )
= n27 )
& ( ( sum @ n4 @ n22 )
= n26 )
& ( ( 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 @ n30 )
= n2 )
& ( ( sum @ n3 @ n29 )
= n1 )
& ( ( sum @ n3 @ n28 )
= n0 )
& ( ( sum @ n3 @ n27 )
= n30 )
& ( ( sum @ n3 @ n26 )
= n29 )
& ( ( sum @ n3 @ n25 )
= n28 )
& ( ( sum @ n3 @ n24 )
= n27 )
& ( ( sum @ n3 @ n23 )
= n26 )
& ( ( 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 @ n30 )
= n1 )
& ( ( sum @ n2 @ n29 )
= n0 )
& ( ( sum @ n2 @ n28 )
= n30 )
& ( ( sum @ n2 @ n27 )
= n29 )
& ( ( sum @ n2 @ n26 )
= n28 )
& ( ( sum @ n2 @ n25 )
= n27 )
& ( ( sum @ n2 @ n24 )
= n26 )
& ( ( 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 @ n30 )
= n0 )
& ( ( sum @ n1 @ n29 )
= n30 )
& ( ( sum @ n1 @ n28 )
= n29 )
& ( ( sum @ n1 @ n27 )
= n28 )
& ( ( sum @ n1 @ n26 )
= n27 )
& ( ( sum @ n1 @ n25 )
= n26 )
& ( ( 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 @ n30 )
= n30 )
& ( ( sum @ n0 @ n29 )
= n29 )
& ( ( sum @ n0 @ n28 )
= n28 )
& ( ( sum @ n0 @ n27 )
= n27 )
& ( ( sum @ n0 @ n26 )
= n26 )
& ( ( 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 @ n30 )
= n29 )
& ( ( pred @ n29 )
= n28 )
& ( ( pred @ n28 )
= n27 )
& ( ( pred @ n27 )
= n26 )
& ( ( pred @ n26 )
= n25 )
& ( ( 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 )
= n30 )
& ( ( succ @ n30 )
= n0 )
& ( ( succ @ n29 )
= n30 )
& ( ( succ @ n28 )
= n29 )
& ( ( succ @ n27 )
= n28 )
& ( ( succ @ n26 )
= n27 )
& ( ( succ @ n25 )
= n26 )
& ( ( 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_cl1025,plain,
( ( sk_ = n30 )
| ( sk_ = n29 )
| ( sk_ = n28 )
| ( sk_ = n27 )
| ( sk_ = n26 )
| ( 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_cl1546,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl514,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1,plain,
( ( sk__1 = n30 )
| ( sk__1 = n29 )
| ( sk__1 = n28 )
| ( sk__1 = n27 )
| ( sk__1 = n26 )
| ( 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_cl1506,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
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_cl1699,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_cl1506,zip_derived_cl0]) ).
thf(zip_derived_cl17,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_001,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5341,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_cl1699,zip_derived_cl17,zip_derived_cl17]) ).
thf(zip_derived_cl12688,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_cl48,zip_derived_cl5341]) ).
thf(zip_derived_cl24936,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24963,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl24936]) ).
thf(zip_derived_cl57,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_002,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_003,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25026,plain,
( ( ( sum @ ( sum @ n23 @ n16 ) @ ( sum @ n14 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24963,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl793,plain,
( ( sum @ n23 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523,plain,
( ( sum @ n14 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621,plain,
( ( sum @ n17 @ n30 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27566,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n15 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25026,zip_derived_cl793,zip_derived_cl523,zip_derived_cl320,zip_derived_cl802,zip_derived_cl621]) ).
thf('0',plain,
( ( sk_ != n24 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27566]) ).
thf(zip_derived_cl995,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl546,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1507,plain,
( ( sk__1 = n16 )
<= ( sk__1 = n16 ) ),
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_cl1716,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_cl1507,zip_derived_cl0]) ).
thf(zip_derived_cl18,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_005,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5460,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_cl1716,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl13075,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_cl49,zip_derived_cl5460]) ).
thf(zip_derived_cl25157,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25173,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl25157]) ).
thf(zip_derived_cl48_006,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515,plain,
( ( sum @ n14 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_007,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545,plain,
( ( sum @ n15 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_008,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_009,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_010,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25235,plain,
( ( n0
!= ( sum @ n30 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25173,zip_derived_cl48,zip_derived_cl515,zip_derived_cl17,zip_derived_cl545,zip_derived_cl64,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29596,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n16 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl25235]) ).
thf('1',plain,
( ( sk__1 != n16 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29596]) ).
thf(zip_derived_cl896,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_011,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25168,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl25157]) ).
thf(zip_derived_cl43,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360,plain,
( ( sum @ n9 @ n17 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540,plain,
( ( sum @ n15 @ n11 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_012,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_013,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25230,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ n20 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25168,zip_derived_cl43,zip_derived_cl360,zip_derived_cl12,zip_derived_cl540,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl28281,plain,
( ( n21
!= ( sum @ n20 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl25230]) ).
thf(zip_derived_cl685,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28305,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n16 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28281,zip_derived_cl685]) ).
thf('2',plain,
( ( sk__1 != n16 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28305]) ).
thf(zip_derived_cl866,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_014,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25184,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl25157]) ).
thf(zip_derived_cl59,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_015,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_016,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25247,plain,
( ( ( sum @ ( sum @ n25 @ n17 ) @ ( sum @ n15 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25184,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl556,plain,
( ( sum @ n15 @ n27 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27862,plain,
( ( ( sum @ ( sum @ n25 @ n17 ) @ n11 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25247,zip_derived_cl556]) ).
thf(zip_derived_cl27987,plain,
( ( ( sum @ ( sum @ n25 @ n17 ) @ n11 )
!= ( sum @ n21 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl27862]) ).
thf(zip_derived_cl856,plain,
( ( sum @ n25 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28016,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n16 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27987,zip_derived_cl856,zip_derived_cl416,zip_derived_cl716]) ).
thf('3',plain,
( ( sk__1 != n16 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28016]) ).
thf(zip_derived_cl1547,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_017,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25183,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl25157]) ).
thf(zip_derived_cl58,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_018,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_019,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25246,plain,
( ( ( sum @ ( sum @ n24 @ n17 ) @ ( sum @ n15 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25183,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl825,plain,
( ( sum @ n24 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555,plain,
( ( sum @ n15 @ n26 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27860,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n16 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25246,zip_derived_cl825,zip_derived_cl555,zip_derived_cl384,zip_derived_cl834,zip_derived_cl654]) ).
thf('4',plain,
( ( sk__1 != n16 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27860]) ).
thf(zip_derived_cl1546_020,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_021,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25182,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl25157]) ).
thf(zip_derived_cl57_022,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_023,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_024,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_025,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25245,plain,
( ( ( sum @ ( sum @ n23 @ n17 ) @ ( sum @ n15 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25182,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl794,plain,
( ( sum @ n23 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554,plain,
( ( sum @ n15 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_026,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27858,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n16 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25245,zip_derived_cl794,zip_derived_cl554,zip_derived_cl352,zip_derived_cl802,zip_derived_cl592]) ).
thf('5',plain,
( ( sk_ != n24 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27858]) ).
thf(zip_derived_cl1545,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_027,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25181,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl25157]) ).
thf(zip_derived_cl56,plain,
( ( pred @ n23 )
= n22 ),
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_cl56_028,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_029,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25244,plain,
( ( ( sum @ ( sum @ n22 @ n17 ) @ ( sum @ n15 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25181,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl763,plain,
( ( sum @ n22 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553,plain,
( ( sum @ n15 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_030,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27856,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n16 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25244,zip_derived_cl763,zip_derived_cl553,zip_derived_cl320,zip_derived_cl770,zip_derived_cl530]) ).
thf('6',plain,
( ( sk__1 != n16 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27856]) ).
thf(zip_derived_cl1544,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_031,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25180,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl25157]) ).
thf(zip_derived_cl55,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_032,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_033,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25243,plain,
( ( ( sum @ ( sum @ n21 @ n17 ) @ ( sum @ n15 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25180,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl732,plain,
( ( sum @ n21 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552,plain,
( ( sum @ n15 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27854,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n16 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25243,zip_derived_cl732,zip_derived_cl552,zip_derived_cl288,zip_derived_cl738,zip_derived_cl468]) ).
thf('7',plain,
( ( sk__1 != n16 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27854]) ).
thf(zip_derived_cl1543,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_034,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25179,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl25157]) ).
thf(zip_derived_cl54,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_035,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_036,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25242,plain,
( ( ( sum @ ( sum @ n20 @ n17 ) @ ( sum @ n15 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25179,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl701,plain,
( ( sum @ n20 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551,plain,
( ( sum @ n15 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27852,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n16 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25242,zip_derived_cl701,zip_derived_cl551,zip_derived_cl256,zip_derived_cl706,zip_derived_cl406]) ).
thf('8',plain,
( ( sk__1 != n16 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27852]) ).
thf(zip_derived_cl1542,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_037,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25178,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl25157]) ).
thf(zip_derived_cl53,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_038,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_039,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25241,plain,
( ( ( sum @ ( sum @ n19 @ n17 ) @ ( sum @ n15 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25178,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl670,plain,
( ( sum @ n19 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550,plain,
( ( sum @ n15 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27850,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n16 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25241,zip_derived_cl670,zip_derived_cl550,zip_derived_cl224,zip_derived_cl674,zip_derived_cl344]) ).
thf('9',plain,
( ( sk__1 != n16 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27850]) ).
thf(zip_derived_cl1541,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_040,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25177,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl25157]) ).
thf(zip_derived_cl52,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_041,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_042,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25240,plain,
( ( ( sum @ ( sum @ n18 @ n17 ) @ ( sum @ n15 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25177,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl639,plain,
( ( sum @ n18 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549,plain,
( ( sum @ n15 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27848,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n16 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25240,zip_derived_cl639,zip_derived_cl549,zip_derived_cl192,zip_derived_cl642,zip_derived_cl282]) ).
thf('10',plain,
( ( sk__1 != n16 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27848]) ).
thf(zip_derived_cl1540,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_043,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25176,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl25157]) ).
thf(zip_derived_cl51,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_044,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_045,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25239,plain,
( ( ( sum @ ( sum @ n17 @ n17 ) @ ( sum @ n15 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25176,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl608,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548,plain,
( ( sum @ n15 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27846,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n16 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25239,zip_derived_cl608,zip_derived_cl548,zip_derived_cl160,zip_derived_cl610,zip_derived_cl220]) ).
thf('11',plain,
( ( sk__1 != n16 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27846]) ).
thf(zip_derived_cl832,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_046,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25166,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl25157]) ).
thf(zip_derived_cl41,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_047,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_048,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25228,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n16 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25166,zip_derived_cl41,zip_derived_cl298,zip_derived_cl10,zip_derived_cl538,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290]) ).
thf(zip_derived_cl27593,plain,
( ( n17
!= ( sum @ n16 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl25228]) ).
thf(zip_derived_cl561,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27615,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n16 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27593,zip_derived_cl561]) ).
thf('12',plain,
( ( sk__1 != n16 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27615]) ).
thf(zip_derived_cl1011,plain,
( ( sum @ n30 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_049,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25158,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl25157]) ).
thf(zip_derived_cl33,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_050,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_051,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_052,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25220,plain,
( ( ( sum @ ( sum @ n30 @ n17 ) @ n16 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25158,zip_derived_cl33,zip_derived_cl2,zip_derived_cl530,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29847,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl25220]) ).
thf(zip_derived_cl576,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_053,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29849,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n16 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29847,zip_derived_cl576,zip_derived_cl995,zip_derived_cl65]) ).
thf('13',plain,
( ( sk_ != n0 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29849]) ).
thf(zip_derived_cl1538,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl5460_054,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_cl1716,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl5477,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_cl1538,zip_derived_cl5460]) ).
thf(zip_derived_cl18_055,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_056,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5539,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_cl5477,zip_derived_cl18,zip_derived_cl18]) ).
thf('14',plain,
( ( sk__1 != n16 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5539]) ).
thf(zip_derived_cl1024,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_057,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl674_058,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_059,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1511,plain,
( ( sk__1 = n20 )
<= ( sk__1 = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_060,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_cl1803,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_cl1511,zip_derived_cl0]) ).
thf(zip_derived_cl22_061,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_062,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6068,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_cl1803,zip_derived_cl22,zip_derived_cl22]) ).
thf(zip_derived_cl14620,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_cl53,zip_derived_cl6068]) ).
thf(zip_derived_cl26155,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26178,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl26155]) ).
thf(zip_derived_cl43_063,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364,plain,
( ( sum @ n9 @ n21 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_064,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664,plain,
( ( sum @ n19 @ n11 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_065,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_066,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_067,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26240,plain,
( ( ( sum @ n30 @ n30 )
!= ( sum @ n20 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26178,zip_derived_cl43,zip_derived_cl364,zip_derived_cl12,zip_derived_cl664,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl29986,plain,
( ( n29
!= ( sum @ n20 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl26240]) ).
thf(zip_derived_cl693,plain,
( ( sum @ n20 @ n9 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30019,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n20 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29986,zip_derived_cl693]) ).
thf('15',plain,
( ( sk_ != n10 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30019]) ).
thf(zip_derived_cl1532_068,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl962,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1520,plain,
( ( sk__1 = n29 )
<= ( sk__1 = n29 ) ),
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_cl2051,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n29 ) ) @ ( sum @ ( pred @ n29 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl0]) ).
thf(zip_derived_cl31,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_070,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8268,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ ( pred @ n29 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n29 ) @ n30 ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2051,zip_derived_cl31,zip_derived_cl31]) ).
thf(zip_derived_cl17839,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n28 @ n30 ) ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl8268]) ).
thf(zip_derived_cl29056,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29129,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl29056]) ).
thf(zip_derived_cl43_071,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373,plain,
( ( sum @ n9 @ n30 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_072,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl943,plain,
( ( sum @ n28 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_073,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_074,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_075,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_076,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711,plain,
( ( sum @ n20 @ n27 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29199,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n29 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29129,zip_derived_cl43,zip_derived_cl373,zip_derived_cl12,zip_derived_cl943,zip_derived_cl320,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl711]) ).
thf('16',plain,
( ( sk_ != n10 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29199]) ).
thf(zip_derived_cl1532_077,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl930,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1519,plain,
( ( sk__1 = n28 )
<= ( sk__1 = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_078,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_cl2021,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n28 ) ) @ ( sum @ ( pred @ n28 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1519,zip_derived_cl0]) ).
thf(zip_derived_cl30,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_079,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7869,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ ( pred @ n28 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n28 ) @ n29 ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2021,zip_derived_cl30,zip_derived_cl30]) ).
thf(zip_derived_cl17584,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n27 @ n29 ) ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl7869]) ).
thf(zip_derived_cl28682,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28757,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl28682]) ).
thf(zip_derived_cl43_080,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372,plain,
( ( sum @ n9 @ n29 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_081,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl912,plain,
( ( sum @ n27 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_082,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_083,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_084,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_085,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709,plain,
( ( sum @ n20 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28826,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n28 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28757,zip_derived_cl43,zip_derived_cl372,zip_derived_cl12,zip_derived_cl912,zip_derived_cl288,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl709]) ).
thf('17',plain,
( ( sk_ != n10 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28826]) ).
thf(zip_derived_cl928,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_086,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl578,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1508,plain,
( ( sk__1 = n17 )
<= ( sk__1 = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_087,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_cl1734,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_cl1508,zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_088,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5580,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_cl1734,zip_derived_cl19,zip_derived_cl19]) ).
thf(zip_derived_cl13462,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_cl50,zip_derived_cl5580]) ).
thf(zip_derived_cl25355,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25368,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl25355]) ).
thf(zip_derived_cl43_089,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361,plain,
( ( sum @ n9 @ n18 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_090,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571,plain,
( ( sum @ n16 @ n11 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_091,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_092,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_093,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25430,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ n20 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25368,zip_derived_cl43,zip_derived_cl361,zip_derived_cl12,zip_derived_cl571,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl28632,plain,
( ( n23
!= ( sum @ n20 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl25430]) ).
thf(zip_derived_cl687,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28659,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n17 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28632,zip_derived_cl687]) ).
thf('18',plain,
( ( sk_ != n10 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28659]) ).
thf(zip_derived_cl864,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_094,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_095,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24949,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl24936]) ).
thf(zip_derived_cl43_096,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_097,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl509,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_098,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_099,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_100,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25011,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n20 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24949,zip_derived_cl43,zip_derived_cl359,zip_derived_cl12,zip_derived_cl509,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl27927,plain,
( ( n19
!= ( sum @ n20 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl25011]) ).
thf(zip_derived_cl714,plain,
( ( sum @ n20 @ n30 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27950,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n15 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27927,zip_derived_cl714]) ).
thf('19',plain,
( ( sk_ != n10 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27950]) ).
thf(zip_derived_cl832_101,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_102,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl482,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1505,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_103,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_cl1679,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_cl1505,zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_104,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5223,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_cl1679,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl12301,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_cl47,zip_derived_cl5223]) ).
thf(zip_derived_cl24673,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24686,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl24673]) ).
thf(zip_derived_cl43_105,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_106,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_107,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_108,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_109,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24748,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n20 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24686,zip_derived_cl43,zip_derived_cl358,zip_derived_cl12,zip_derived_cl478,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl27591,plain,
( ( n17
!= ( sum @ n20 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl24748]) ).
thf(zip_derived_cl712,plain,
( ( sum @ n20 @ n28 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27611,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n14 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27591,zip_derived_cl712]) ).
thf('20',plain,
( ( sk_ != n10 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27611]) ).
thf(zip_derived_cl800,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_110,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl450,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1504,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_111,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_cl1664,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_cl1504,zip_derived_cl0]) ).
thf(zip_derived_cl15,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_112,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5107,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_cl1664,zip_derived_cl15,zip_derived_cl15]) ).
thf(zip_derived_cl11911,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_cl46,zip_derived_cl5107]) ).
thf(zip_derived_cl24407,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24420,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl24407]) ).
thf(zip_derived_cl43_113,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_114,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_115,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_116,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_117,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24482,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n20 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24420,zip_derived_cl43,zip_derived_cl357,zip_derived_cl12,zip_derived_cl447,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl27257,plain,
( ( n15
!= ( sum @ n20 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl24482]) ).
thf(zip_derived_cl710,plain,
( ( sum @ n20 @ n26 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27276,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n13 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27257,zip_derived_cl710]) ).
thf('21',plain,
( ( sk_ != n10 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27276]) ).
thf(zip_derived_cl1532_118,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl738_119,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_120,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1513,plain,
( ( sk__1 = n22 )
<= ( sk__1 = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_121,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_cl1848,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_cl1513,zip_derived_cl0]) ).
thf(zip_derived_cl24_122,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_123,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6316,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_cl1848,zip_derived_cl24,zip_derived_cl24]) ).
thf(zip_derived_cl15392,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_cl55,zip_derived_cl6316]) ).
thf(zip_derived_cl26692,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26728,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl26692]) ).
thf(zip_derived_cl43_124,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366,plain,
( ( sum @ n9 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_125,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726,plain,
( ( sum @ n21 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_126,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_127,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_128,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697,plain,
( ( sum @ n20 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26791,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n22 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26728,zip_derived_cl43,zip_derived_cl366,zip_derived_cl12,zip_derived_cl726,zip_derived_cl96,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl697]) ).
thf('22',plain,
( ( sk_ != n10 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26791]) ).
thf(zip_derived_cl1532_129,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl706_130,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_131,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1512,plain,
( ( sk__1 = n21 )
<= ( sk__1 = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_132,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_cl1825,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_cl1512,zip_derived_cl0]) ).
thf(zip_derived_cl23_133,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_134,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6192,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_cl1825,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl15006,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_cl54,zip_derived_cl6192]) ).
thf(zip_derived_cl26424,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26453,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl26424]) ).
thf(zip_derived_cl43_135,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365,plain,
( ( sum @ n9 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_136,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl695,plain,
( ( sum @ n20 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_137,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_138,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_139,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_140,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl695_141,plain,
( ( sum @ n20 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26515,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n21 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26453,zip_derived_cl43,zip_derived_cl365,zip_derived_cl12,zip_derived_cl695,zip_derived_cl64,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl695]) ).
thf('23',plain,
( ( sk_ != n10 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26515]) ).
thf(zip_derived_cl700,plain,
( ( sum @ n20 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_142,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl290_143,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_144,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1499,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_145,plain,
( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1601,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_cl1499,zip_derived_cl0]) ).
thf(zip_derived_cl10_146,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_147,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4525,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_cl1601,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl9972,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_cl41,zip_derived_cl4525]) ).
thf(zip_derived_cl22862,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22873,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_cl1532,zip_derived_cl22862]) ).
thf(zip_derived_cl43_148,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_149,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_150,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_151,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22936,plain,
( ( ( sum @ ( sum @ n9 @ n9 ) @ ( sum @ n7 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22873,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl352_152,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_153,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26357,plain,
( ( n5
!= ( sum @ n20 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22936,zip_derived_cl352,zip_derived_cl292,zip_derived_cl640,zip_derived_cl354]) ).
thf(zip_derived_cl26375,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n8 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl26357]) ).
thf('24',plain,
( ( sk_ != n10 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26375]) ).
thf(zip_derived_cl698,plain,
( ( sum @ n20 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_154,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl258,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1498,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
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_cl1592,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_cl1498,zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_156,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4413,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_cl1592,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl9587,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_cl40,zip_derived_cl4413]) ).
thf(zip_derived_cl22233,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22244,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_cl1532,zip_derived_cl22233]) ).
thf(zip_derived_cl43_157,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_158,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_159,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_160,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22307,plain,
( ( ( sum @ ( sum @ n9 @ n8 ) @ ( sum @ n6 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22244,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl351,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_161,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_162,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26126,plain,
( ( n3
!= ( sum @ n20 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22307,zip_derived_cl351,zip_derived_cl261,zip_derived_cl608,zip_derived_cl354]) ).
thf(zip_derived_cl26365,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n7 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl698,zip_derived_cl26126]) ).
thf('25',plain,
( ( sk_ != n10 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26365]) ).
thf(zip_derived_cl692,plain,
( ( sum @ n20 @ n8 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_163,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl162,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1495,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
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_cl1568,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_cl1495,zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_165,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4068,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_cl1568,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl8398,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_cl37,zip_derived_cl4068]) ).
thf(zip_derived_cl20178,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20189,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_cl1532,zip_derived_cl20178]) ).
thf(zip_derived_cl43_166,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_167,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_168,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_169,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20252,plain,
( ( ( sum @ ( sum @ n9 @ n5 ) @ ( sum @ n3 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20189,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl348,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_170,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25798,plain,
( ( n28
!= ( sum @ n20 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20252,zip_derived_cl348,zip_derived_cl168,zip_derived_cl512,zip_derived_cl354]) ).
thf(zip_derived_cl26334,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n4 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl692,zip_derived_cl25798]) ).
thf('26',plain,
( ( sk_ != n10 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26334]) ).
thf(zip_derived_cl686,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_171,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl66,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1492,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_172,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_cl1558,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_cl1492,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_173,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3734,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_cl1558,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl7211,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_cl34,zip_derived_cl3734]) ).
thf(zip_derived_cl18362,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18373,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_cl1532,zip_derived_cl18362]) ).
thf(zip_derived_cl43_174,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_175,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_176,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_177,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18436,plain,
( ( ( sum @ ( sum @ n9 @ n2 ) @ ( sum @ n0 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18373,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl345,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_178,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_179,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25299,plain,
( ( n22
!= ( sum @ n20 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18436,zip_derived_cl345,zip_derived_cl75,zip_derived_cl416,zip_derived_cl354]) ).
thf(zip_derived_cl26302,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n1 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl25299]) ).
thf('27',plain,
( ( sk_ != n10 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26302]) ).
thf(zip_derived_cl1551,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl866_180,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_181,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1517,plain,
( ( sk__1 = n26 )
<= ( sk__1 = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_182,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_cl1957,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n26 ) ) @ ( sum @ ( pred @ n26 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1517,zip_derived_cl0]) ).
thf(zip_derived_cl28_183,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_184,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7083,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ ( pred @ n26 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n26 ) @ n27 ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl1957,zip_derived_cl28,zip_derived_cl28]) ).
thf(zip_derived_cl16934,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n25 @ n27 ) ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl7083]) ).
thf(zip_derived_cl27971,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28051,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl27971]) ).
thf(zip_derived_cl62_185,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_186,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_187,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_188,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28132,plain,
( ( ( sum @ ( sum @ n28 @ n27 ) @ ( sum @ n25 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28051,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl959,plain,
( ( sum @ n28 @ n27 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl869,plain,
( ( sum @ n25 @ n30 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832_189,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_190,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl922,plain,
( ( sum @ n27 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30283,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n26 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28132,zip_derived_cl959,zip_derived_cl869,zip_derived_cl832,zip_derived_cl962,zip_derived_cl922]) ).
thf('28',plain,
( ( sk__1 != n26 )
| ( sk_ != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30283]) ).
thf(zip_derived_cl1550,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_191,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28050,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl27971]) ).
thf(zip_derived_cl61_192,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_193,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_194,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_195,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28131,plain,
( ( ( sum @ ( sum @ n27 @ n27 ) @ ( sum @ n25 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28050,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl928_196,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl868,plain,
( ( sum @ n25 @ n29 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_197,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_198,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl860,plain,
( ( sum @ n25 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30281,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n26 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28131,zip_derived_cl928,zip_derived_cl868,zip_derived_cl800,zip_derived_cl930,zip_derived_cl860]) ).
thf('29',plain,
( ( sk__1 != n26 )
| ( sk_ != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30281]) ).
thf(zip_derived_cl1549,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_199,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28049,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl27971]) ).
thf(zip_derived_cl60,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_200,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_201,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28130,plain,
( ( ( sum @ ( sum @ n26 @ n27 ) @ ( sum @ n25 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28049,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl897,plain,
( ( sum @ n26 @ n27 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl867,plain,
( ( sum @ n25 @ n28 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl798,plain,
( ( sum @ n23 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30279,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n26 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28130,zip_derived_cl897,zip_derived_cl867,zip_derived_cl768,zip_derived_cl898,zip_derived_cl798]) ).
thf('30',plain,
( ( sk__1 != n26 )
| ( sk_ != n27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30279]) ).
thf(zip_derived_cl1024_202,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_203,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28026,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl27971]) ).
thf(zip_derived_cl37_204,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184,plain,
( ( sum @ n3 @ n27 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_205,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl844,plain,
( ( sum @ n25 @ n5 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_206,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_207,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_208,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333,plain,
( ( sum @ n8 @ n21 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28088,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n26 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28026,zip_derived_cl37,zip_derived_cl184,zip_derived_cl6,zip_derived_cl844,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl333]) ).
thf(zip_derived_cl30003,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n26 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl28088]) ).
thf('31',plain,
( ( sk__1 != n26 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30003]) ).
thf(zip_derived_cl1021,plain,
( ( sum @ n30 @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_209,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_210,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28022,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl27971]) ).
thf(zip_derived_cl33_211,plain,
( ( pred @ n0 )
= n30 ),
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_cl840,plain,
( ( sum @ n25 @ n1 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_213,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_214,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28084,plain,
( ( ( sum @ ( sum @ n30 @ n27 ) @ n26 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28022,zip_derived_cl33,zip_derived_cl2,zip_derived_cl840,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29952,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1021,zip_derived_cl28084]) ).
thf(zip_derived_cl896_215,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_216,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29954,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n26 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29952,zip_derived_cl896,zip_derived_cl995,zip_derived_cl85]) ).
thf('32',plain,
( ( sk_ != n0 )
| ( sk__1 != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29954]) ).
thf(zip_derived_cl1015,plain,
( ( sum @ n30 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_217,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_218,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28037,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl27971]) ).
thf(zip_derived_cl48_219,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525,plain,
( ( sum @ n14 @ n27 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_220,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl855,plain,
( ( sum @ n25 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_221,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_222,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_223,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_224,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28107,plain,
( ( n20
!= ( sum @ n30 @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28037,zip_derived_cl48,zip_derived_cl525,zip_derived_cl17,zip_derived_cl855,zip_derived_cl384,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29890,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n26 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl28107]) ).
thf('33',plain,
( ( sk__1 != n26 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29890]) ).
thf(zip_derived_cl992,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_225,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28025,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl27971]) ).
thf(zip_derived_cl36,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153,plain,
( ( sum @ n2 @ n27 )
= n29 ),
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_cl843,plain,
( ( sum @ n25 @ n4 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_226,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_227,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271,plain,
( ( sum @ n6 @ n21 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28087,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n26 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28025,zip_derived_cl36,zip_derived_cl153,zip_derived_cl5,zip_derived_cl843,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl271]) ).
thf(zip_derived_cl29553,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n26 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl28087]) ).
thf('34',plain,
( ( sk__1 != n26 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29553]) ).
thf(zip_derived_cl990,plain,
( ( sum @ n29 @ n27 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_228,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28052,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl27971]) ).
thf(zip_derived_cl63,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl839,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_229,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_230,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28133,plain,
( ( ( sum @ ( sum @ n29 @ n27 ) @ n25 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28052,zip_derived_cl63,zip_derived_cl32,zip_derived_cl839,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29511,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl990,zip_derived_cl28133]) ).
thf(zip_derived_cl864_231,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl984,plain,
( ( sum @ n29 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29512,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n26 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29511,zip_derived_cl864,zip_derived_cl963,zip_derived_cl984]) ).
thf('35',plain,
( ( sk__1 != n26 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29512]) ).
thf(zip_derived_cl960,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_232,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28024,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl27971]) ).
thf(zip_derived_cl35,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122,plain,
( ( sum @ n1 @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl842,plain,
( ( sum @ n25 @ n3 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_233,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_234,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28086,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n26 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28024,zip_derived_cl35,zip_derived_cl122,zip_derived_cl4,zip_derived_cl842,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl209]) ).
thf(zip_derived_cl29024,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n26 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl28086]) ).
thf('36',plain,
( ( sk__1 != n26 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29024]) ).
thf(zip_derived_cl953,plain,
( ( sum @ n28 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_235,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28036,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl27971]) ).
thf(zip_derived_cl47_236,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494,plain,
( ( sum @ n13 @ n27 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_237,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl854,plain,
( ( sum @ n25 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_238,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_239,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_240,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_241,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28106,plain,
( ( n18
!= ( sum @ n28 @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28036,zip_derived_cl47,zip_derived_cl494,zip_derived_cl16,zip_derived_cl854,zip_derived_cl352,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28967,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n26 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl953,zip_derived_cl28106]) ).
thf('37',plain,
( ( sk__1 != n26 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28967]) ).
thf(zip_derived_cl928_242,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_243,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28023,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl27971]) ).
thf(zip_derived_cl34_244,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91,plain,
( ( sum @ n0 @ n27 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_245,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl841,plain,
( ( sum @ n25 @ n2 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_246,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_247,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_248,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28085,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n26 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28023,zip_derived_cl34,zip_derived_cl91,zip_derived_cl3,zip_derived_cl841,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl147]) ).
thf(zip_derived_cl28652,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n26 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl28085]) ).
thf('38',plain,
( ( sk__1 != n26 )
| ( sk_ != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28652]) ).
thf(zip_derived_cl891,plain,
( ( sum @ n26 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_249,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28035,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl27971]) ).
thf(zip_derived_cl46_250,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463,plain,
( ( sum @ n12 @ n27 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_251,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl853,plain,
( ( sum @ n25 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_252,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_253,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_254,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_255,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28105,plain,
( ( n16
!= ( sum @ n26 @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28035,zip_derived_cl46,zip_derived_cl463,zip_derived_cl15,zip_derived_cl853,zip_derived_cl320,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28239,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n26 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl891,zip_derived_cl28105]) ).
thf('39',plain,
( ( sk__1 != n26 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28239]) ).
thf(zip_derived_cl1547_256,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_257,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28047,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl27971]) ).
thf(zip_derived_cl58_258,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl835,plain,
( ( sum @ n24 @ n27 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_259,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl865,plain,
( ( sum @ n25 @ n26 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_260,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_261,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_262,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_263,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28126,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n26 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28047,zip_derived_cl58,zip_derived_cl835,zip_derived_cl27,zip_derived_cl865,zip_derived_cl704,zip_derived_cl58,zip_derived_cl27,zip_derived_cl834,zip_derived_cl674]) ).
thf('40',plain,
( ( sk__1 != n26 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28126]) ).
thf(zip_derived_cl1546_264,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_265,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28046,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl27971]) ).
thf(zip_derived_cl57_266,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl804,plain,
( ( sum @ n23 @ n27 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_267,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl864_268,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_269,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_270,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_271,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612,plain,
( ( sum @ n17 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28124,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n26 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28046,zip_derived_cl57,zip_derived_cl804,zip_derived_cl26,zip_derived_cl864,zip_derived_cl672,zip_derived_cl57,zip_derived_cl26,zip_derived_cl802,zip_derived_cl612]) ).
thf('41',plain,
( ( sk_ != n24 )
| ( sk__1 != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28124]) ).
thf(zip_derived_cl1545_272,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_273,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28045,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl27971]) ).
thf(zip_derived_cl56_274,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl773,plain,
( ( sum @ n22 @ n27 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_275,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl863,plain,
( ( sum @ n25 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_276,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_277,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_278,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_279,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550_280,plain,
( ( sum @ n15 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28122,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n26 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28045,zip_derived_cl56,zip_derived_cl773,zip_derived_cl25,zip_derived_cl863,zip_derived_cl640,zip_derived_cl56,zip_derived_cl25,zip_derived_cl770,zip_derived_cl550]) ).
thf('42',plain,
( ( sk__1 != n26 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28122]) ).
thf(zip_derived_cl1544_281,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_282,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28044,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl27971]) ).
thf(zip_derived_cl55_283,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742,plain,
( ( sum @ n21 @ n27 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_284,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl862,plain,
( ( sum @ n25 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_285,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_286,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_287,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_288,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488,plain,
( ( sum @ n13 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28120,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n26 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28044,zip_derived_cl55,zip_derived_cl742,zip_derived_cl24,zip_derived_cl862,zip_derived_cl608,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl488]) ).
thf('43',plain,
( ( sk__1 != n26 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28120]) ).
thf(zip_derived_cl1543_289,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_290,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28043,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl27971]) ).
thf(zip_derived_cl54_291,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711_292,plain,
( ( sum @ n20 @ n27 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_293,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl861,plain,
( ( sum @ n25 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_294,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_295,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_296,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_297,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426,plain,
( ( sum @ n11 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28118,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n26 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28043,zip_derived_cl54,zip_derived_cl711,zip_derived_cl23,zip_derived_cl861,zip_derived_cl576,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl426]) ).
thf('44',plain,
( ( sk__1 != n26 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28118]) ).
thf(zip_derived_cl1542_298,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_299,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28042,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl27971]) ).
thf(zip_derived_cl53_300,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680,plain,
( ( sum @ n19 @ n27 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_301,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl860_302,plain,
( ( sum @ n25 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_303,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_304,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_305,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_306,plain,
( ( sum @ n9 @ n21 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28116,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n26 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28042,zip_derived_cl53,zip_derived_cl680,zip_derived_cl22,zip_derived_cl860,zip_derived_cl544,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl364]) ).
thf('45',plain,
( ( sk__1 != n26 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28116]) ).
thf(zip_derived_cl1541_307,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_308,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28041,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl27971]) ).
thf(zip_derived_cl52_309,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649,plain,
( ( sum @ n18 @ n27 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_310,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl859,plain,
( ( sum @ n25 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_311,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_312,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_313,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_314,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302,plain,
( ( sum @ n7 @ n21 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28114,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n26 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28041,zip_derived_cl52,zip_derived_cl649,zip_derived_cl21,zip_derived_cl859,zip_derived_cl512,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl302]) ).
thf('46',plain,
( ( sk__1 != n26 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28114]) ).
thf(zip_derived_cl1540_315,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_316,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28040,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl27971]) ).
thf(zip_derived_cl51_317,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618,plain,
( ( sum @ n17 @ n27 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_318,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl858,plain,
( ( sum @ n25 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_319,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_320,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_321,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240,plain,
( ( sum @ n5 @ n21 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28112,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n26 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28040,zip_derived_cl51,zip_derived_cl618,zip_derived_cl20,zip_derived_cl858,zip_derived_cl480,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl240]) ).
thf('47',plain,
( ( sk__1 != n26 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28112]) ).
thf(zip_derived_cl1539,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_322,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28039,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl27971]) ).
thf(zip_derived_cl50_323,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587,plain,
( ( sum @ n16 @ n27 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_324,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl857,plain,
( ( sum @ n25 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_325,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_326,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_327,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28110,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n26 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28039,zip_derived_cl50,zip_derived_cl587,zip_derived_cl19,zip_derived_cl857,zip_derived_cl448,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl178]) ).
thf('48',plain,
( ( sk__1 != n26 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28110]) ).
thf(zip_derived_cl1538_328,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_329,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28038,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl27971]) ).
thf(zip_derived_cl49_330,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556_331,plain,
( ( sum @ n15 @ n27 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_332,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl856_333,plain,
( ( sum @ n25 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_334,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_335,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_336,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_337,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28108,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n26 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28038,zip_derived_cl49,zip_derived_cl556,zip_derived_cl18,zip_derived_cl856,zip_derived_cl416,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl116]) ).
thf('49',plain,
( ( sk__1 != n26 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28108]) ).
thf(zip_derived_cl1534,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_338,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28034,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl27971]) ).
thf(zip_derived_cl45,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432,plain,
( ( sum @ n11 @ n27 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl852,plain,
( ( sum @ n25 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_339,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_340,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_341,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl829,plain,
( ( sum @ n24 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28103,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n26 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28034,zip_derived_cl45,zip_derived_cl432,zip_derived_cl14,zip_derived_cl852,zip_derived_cl288,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418,zip_derived_cl829]) ).
thf('50',plain,
( ( sk__1 != n26 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28103]) ).
thf(zip_derived_cl1533,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_342,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28033,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl27971]) ).
thf(zip_derived_cl44,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401,plain,
( ( sum @ n10 @ n27 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl851,plain,
( ( sum @ n25 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_343,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_344,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_345,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl767,plain,
( ( sum @ n22 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28101,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n26 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28033,zip_derived_cl44,zip_derived_cl401,zip_derived_cl13,zip_derived_cl851,zip_derived_cl256,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl767]) ).
thf('51',plain,
( ( sk__1 != n26 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28101]) ).
thf(zip_derived_cl1532_346,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_347,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28032,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl27971]) ).
thf(zip_derived_cl43_348,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370,plain,
( ( sum @ n9 @ n27 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_349,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl850,plain,
( ( sum @ n25 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_350,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_351,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_352,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_353,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705,plain,
( ( sum @ n20 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28099,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n26 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28032,zip_derived_cl43,zip_derived_cl370,zip_derived_cl12,zip_derived_cl850,zip_derived_cl224,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl705]) ).
thf('52',plain,
( ( sk__1 != n26 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28099]) ).
thf(zip_derived_cl1531,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_354,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28031,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl27971]) ).
thf(zip_derived_cl42,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339,plain,
( ( sum @ n8 @ n27 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl849,plain,
( ( sum @ n25 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_355,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_356,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_357,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643,plain,
( ( sum @ n18 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28097,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n26 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28031,zip_derived_cl42,zip_derived_cl339,zip_derived_cl11,zip_derived_cl849,zip_derived_cl192,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl643]) ).
thf('53',plain,
( ( sk__1 != n26 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28097]) ).
thf(zip_derived_cl1530_358,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_359,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28030,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl27971]) ).
thf(zip_derived_cl41_360,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308,plain,
( ( sum @ n7 @ n27 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_361,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl848,plain,
( ( sum @ n25 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_362,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_363,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_364,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_365,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581,plain,
( ( sum @ n16 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28095,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n26 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28030,zip_derived_cl41,zip_derived_cl308,zip_derived_cl10,zip_derived_cl848,zip_derived_cl160,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl581]) ).
thf('54',plain,
( ( sk__1 != n26 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28095]) ).
thf(zip_derived_cl1529,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_366,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28029,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl27971]) ).
thf(zip_derived_cl40_367,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277,plain,
( ( sum @ n6 @ n27 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_368,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl847,plain,
( ( sum @ n25 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_369,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_370,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_371,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519,plain,
( ( sum @ n14 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28093,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n26 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28029,zip_derived_cl40,zip_derived_cl277,zip_derived_cl9,zip_derived_cl847,zip_derived_cl128,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl519]) ).
thf('55',plain,
( ( sk__1 != n26 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28093]) ).
thf(zip_derived_cl1528,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_372,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28028,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl27971]) ).
thf(zip_derived_cl39,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246,plain,
( ( sum @ n5 @ n27 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl846,plain,
( ( sum @ n25 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_373,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_374,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_375,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457,plain,
( ( sum @ n12 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28091,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n26 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28028,zip_derived_cl39,zip_derived_cl246,zip_derived_cl8,zip_derived_cl846,zip_derived_cl96,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl457]) ).
thf('56',plain,
( ( sk__1 != n26 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28091]) ).
thf(zip_derived_cl1527,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27971_376,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ n25 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n21 ) )
<= ( sk__1 = n26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl16934]) ).
thf(zip_derived_cl28027,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n27 ) @ ( sum @ n25 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n21 ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl27971]) ).
thf(zip_derived_cl38,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215,plain,
( ( sum @ n4 @ n27 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl845,plain,
( ( sum @ n25 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_377,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_378,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_379,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395,plain,
( ( sum @ n10 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28089,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n26 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28027,zip_derived_cl38,zip_derived_cl215,zip_derived_cl7,zip_derived_cl845,zip_derived_cl64,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl395]) ).
thf('57',plain,
( ( sk__1 != n26 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28089]) ).
thf(zip_derived_cl1548_380,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl7083_381,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n27 ) @ ( sum @ ( pred @ n26 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n26 ) @ n27 ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl1957,zip_derived_cl28,zip_derived_cl28]) ).
thf(zip_derived_cl7110,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n27 ) @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ ( sum @ ( pred @ n26 ) @ n27 ) ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl7083]) ).
thf(zip_derived_cl28_382,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_383,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7172,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n27 ) @ ( sum @ ( pred @ n26 ) @ n27 ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ n27 ) @ ( sum @ ( pred @ n26 ) @ n27 ) ) )
<= ( ( sk__1 = n26 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7110,zip_derived_cl28,zip_derived_cl28]) ).
thf('58',plain,
( ( sk__1 != n26 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7172]) ).
thf(zip_derived_cl1024_384,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_385,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_386,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29120,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl29056]) ).
thf(zip_derived_cl34_387,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94,plain,
( ( sum @ n0 @ n30 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_388,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl934,plain,
( ( sum @ n28 @ n2 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_389,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_390,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_391,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_392,plain,
( ( sum @ n2 @ n27 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29182,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n29 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29120,zip_derived_cl34,zip_derived_cl94,zip_derived_cl3,zip_derived_cl934,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl153]) ).
thf(zip_derived_cl30009,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n29 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl29182]) ).
thf('59',plain,
( ( sk_ != n1 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30009]) ).
thf(zip_derived_cl1523_393,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl995_394,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_395,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1491,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_396,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_cl1557,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_cl1491,zip_derived_cl0]) ).
thf(zip_derived_cl2_397,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_398,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3631,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_cl1557,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl6828,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n30 @ n1 ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl3631]) ).
thf(zip_derived_cl29595,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29607,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl29595]) ).
thf(zip_derived_cl34_399,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_400,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_401,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl996,plain,
( ( sum @ n30 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_402,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_403,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_404,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_405,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29670,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n0 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29607,zip_derived_cl34,zip_derived_cl65,zip_derived_cl3,zip_derived_cl996,zip_derived_cl96,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl126]) ).
thf('60',plain,
( ( sk_ != n1 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29670]) ).
thf(zip_derived_cl992_406,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_407,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_408,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28748,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl28682]) ).
thf(zip_derived_cl34_409,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93,plain,
( ( sum @ n0 @ n29 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_410,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl903,plain,
( ( sum @ n27 @ n2 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_411,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_412,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_413,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151,plain,
( ( sum @ n2 @ n25 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28810,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n28 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28748,zip_derived_cl34,zip_derived_cl93,zip_derived_cl3,zip_derived_cl903,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl151]) ).
thf(zip_derived_cl29557,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n28 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl28810]) ).
thf('61',plain,
( ( sk_ != n1 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29557]) ).
thf(zip_derived_cl1523_414,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl963_415,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_416,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1521,plain,
( ( sk__1 = n30 )
<= ( sk__1 = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_417,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_cl2082,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n30 ) ) @ ( sum @ ( pred @ n30 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1521,zip_derived_cl0]) ).
thf(zip_derived_cl32_418,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_419,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8668,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n30 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n30 ) @ n0 ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2082,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl18099,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n29 @ n0 ) ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl8668]) ).
thf(zip_derived_cl29297,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29299,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl29297]) ).
thf(zip_derived_cl34_420,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_421,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_422,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_423,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_424,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_425,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155,plain,
( ( sum @ n2 @ n29 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29361,plain,
( ( ( sum @ n0 @ ( sum @ n29 @ n2 ) )
!= n0 )
<= ( ( sk__1 = n30 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29299,zip_derived_cl34,zip_derived_cl64,zip_derived_cl3,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl155]) ).
thf(zip_derived_cl965,plain,
( ( sum @ n29 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_426,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29509,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n30 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29361,zip_derived_cl965,zip_derived_cl64]) ).
thf('62',plain,
( ( sk_ != n1 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29509]) ).
thf(zip_derived_cl960_427,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_428,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl898_429,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_430,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1518,plain,
( ( sk__1 = n27 )
<= ( sk__1 = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_431,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_cl1992,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ n27 ) ) @ ( sum @ ( pred @ n27 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1518,zip_derived_cl0]) ).
thf(zip_derived_cl29_432,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_433,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7465,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ ( pred @ n27 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n27 ) @ n28 ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl1992,zip_derived_cl29,zip_derived_cl29]) ).
thf(zip_derived_cl17321,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n26 @ n28 ) ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl7465]) ).
thf(zip_derived_cl28327,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28383,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl28327]) ).
thf(zip_derived_cl34_434,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92,plain,
( ( sum @ n0 @ n28 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_435,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl872,plain,
( ( sum @ n26 @ n2 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_436,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_437,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_438,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28445,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n27 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28383,zip_derived_cl34,zip_derived_cl92,zip_derived_cl3,zip_derived_cl872,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl149]) ).
thf(zip_derived_cl29026,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n27 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl28445]) ).
thf('63',plain,
( ( sk_ != n1 )
| ( sk__1 != n27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29026]) ).
thf(zip_derived_cl896_439,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_440,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl834_441,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_442,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1516,plain,
( ( sk__1 = n25 )
<= ( sk__1 = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_443,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_cl1930,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_cl1516,zip_derived_cl0]) ).
thf(zip_derived_cl27_444,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_445,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6700,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ ( pred @ n25 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n25 ) @ n26 ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1930,zip_derived_cl27,zip_derived_cl27]) ).
thf(zip_derived_cl16549,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ n24 @ n26 ) ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl6700]) ).
thf(zip_derived_cl27632,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27677,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl27632]) ).
thf(zip_derived_cl34_446,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90,plain,
( ( sum @ n0 @ n26 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_447,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl810,plain,
( ( sum @ n24 @ n2 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_448,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_449,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_450,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27739,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n25 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27677,zip_derived_cl34,zip_derived_cl90,zip_derived_cl3,zip_derived_cl810,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl145]) ).
thf(zip_derived_cl28300,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n25 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl27739]) ).
thf('64',plain,
( ( sk_ != n1 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28300]) ).
thf(zip_derived_cl864_451,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_452,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl802_453,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_454,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1515,plain,
( ( sk__1 = n24 )
<= ( sk__1 = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_455,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_cl1904,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_cl1515,zip_derived_cl0]) ).
thf(zip_derived_cl26_456,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_457,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6572,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_cl1904,zip_derived_cl26,zip_derived_cl26]) ).
thf(zip_derived_cl16164,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_cl57,zip_derived_cl6572]) ).
thf(zip_derived_cl27296,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27331,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl27296]) ).
thf(zip_derived_cl34_458,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_459,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl779,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_460,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_461,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_462,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27393,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n24 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27331,zip_derived_cl34,zip_derived_cl89,zip_derived_cl3,zip_derived_cl779,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl143]) ).
thf(zip_derived_cl27945,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n24 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl27393]) ).
thf('65',plain,
( ( sk_ != n1 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27945]) ).
thf(zip_derived_cl832_463,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_464,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl770_465,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_466,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1514,plain,
( ( sk__1 = n23 )
<= ( sk__1 = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_467,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_cl1879,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_cl1514,zip_derived_cl0]) ).
thf(zip_derived_cl25_468,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_469,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6442,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_cl1879,zip_derived_cl25,zip_derived_cl25]) ).
thf(zip_derived_cl15778,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_cl56,zip_derived_cl6442]) ).
thf(zip_derived_cl26989,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27017,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl26989]) ).
thf(zip_derived_cl34_470,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_471,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl748,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_472,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_473,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_474,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27079,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n23 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27017,zip_derived_cl34,zip_derived_cl88,zip_derived_cl3,zip_derived_cl748,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl141]) ).
thf(zip_derived_cl27608,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n23 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl27079]) ).
thf('66',plain,
( ( sk_ != n1 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27608]) ).
thf(zip_derived_cl800_475,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_476,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_477,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26719,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl26692]) ).
thf(zip_derived_cl34_478,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_479,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_480,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_481,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_482,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26781,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n22 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26719,zip_derived_cl34,zip_derived_cl87,zip_derived_cl3,zip_derived_cl717,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl139]) ).
thf(zip_derived_cl27273,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n22 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26781]) ).
thf('67',plain,
( ( sk_ != n1 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27273]) ).
thf(zip_derived_cl768_483,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_484,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_485,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26444,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl26424]) ).
thf(zip_derived_cl34_486,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_487,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl686_488,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_489,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_490,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_491,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26506,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n21 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26444,zip_derived_cl34,zip_derived_cl86,zip_derived_cl3,zip_derived_cl686,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl137]) ).
thf(zip_derived_cl26969,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n21 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl26506]) ).
thf('68',plain,
( ( sk_ != n1 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26969]) ).
thf(zip_derived_cl736,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_492,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_493,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26169,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl26155]) ).
thf(zip_derived_cl34_494,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_495,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_496,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl655,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_497,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_498,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_499,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26231,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26169,zip_derived_cl34,zip_derived_cl85,zip_derived_cl3,zip_derived_cl655,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl135]) ).
thf(zip_derived_cl26673,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n20 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl26231]) ).
thf('69',plain,
( ( sk_ != n1 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26673]) ).
thf(zip_derived_cl704_500,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_501,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl642_502,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_503,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1510,plain,
( ( sk__1 = n19 )
<= ( sk__1 = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_504,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_cl1782,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_cl1510,zip_derived_cl0]) ).
thf(zip_derived_cl21_505,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_506,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5946,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_cl1782,zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl14234,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_cl52,zip_derived_cl5946]) ).
thf(zip_derived_cl25889,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25899,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl25889]) ).
thf(zip_derived_cl34_507,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_508,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl624,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_509,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_510,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_511,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25961,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25899,zip_derived_cl34,zip_derived_cl84,zip_derived_cl3,zip_derived_cl624,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl133]) ).
thf(zip_derived_cl26408,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n19 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25961]) ).
thf('70',plain,
( ( sk_ != n1 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26408]) ).
thf(zip_derived_cl672_512,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_513,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl610_514,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_515,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1509,plain,
( ( sk__1 = n18 )
<= ( sk__1 = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_516,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_cl1753,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_cl1509,zip_derived_cl0]) ).
thf(zip_derived_cl20_517,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_518,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5824,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_cl1753,zip_derived_cl20,zip_derived_cl20]) ).
thf(zip_derived_cl13848,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_cl51,zip_derived_cl5824]) ).
thf(zip_derived_cl25619,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25629,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl25619]) ).
thf(zip_derived_cl34_519,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_520,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl593,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_521,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_522,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_523,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25691,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25629,zip_derived_cl34,zip_derived_cl83,zip_derived_cl3,zip_derived_cl593,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl131]) ).
thf(zip_derived_cl26140,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n18 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25691]) ).
thf('71',plain,
( ( sk_ != n1 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26140]) ).
thf(zip_derived_cl640_524,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_525,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_526,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25359,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl25355]) ).
thf(zip_derived_cl34_527,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_528,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_529,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_530,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_531,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25421,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25359,zip_derived_cl34,zip_derived_cl82,zip_derived_cl3,zip_derived_cl562,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl129]) ).
thf(zip_derived_cl25876,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n17 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl25421]) ).
thf('72',plain,
( ( sk_ != n1 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25876]) ).
thf(zip_derived_cl608_532,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_533,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_534,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25159,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl25157]) ).
thf(zip_derived_cl34_535,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_536,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_537,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_538,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_539,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25221,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25159,zip_derived_cl34,zip_derived_cl81,zip_derived_cl3,zip_derived_cl531,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl127]) ).
thf(zip_derived_cl25607,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n16 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl25221]) ).
thf('73',plain,
( ( sk_ != n1 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25607]) ).
thf(zip_derived_cl576_540,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_541,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_542,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24940,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl24936]) ).
thf(zip_derived_cl34_543,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_544,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_545,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_546,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_547,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156,plain,
( ( sum @ n2 @ n30 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25002,plain,
( ( ( sum @ n16 @ n16 )
!= n1 )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24940,zip_derived_cl34,zip_derived_cl80,zip_derived_cl3,zip_derived_cl500,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl156]) ).
thf(zip_derived_cl25342,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n15 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl25002]) ).
thf('74',plain,
( ( sk_ != n1 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25342]) ).
thf(zip_derived_cl544_548,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_549,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_550,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24677,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl24673]) ).
thf(zip_derived_cl34_551,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_552,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_553,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_554,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_555,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154,plain,
( ( sum @ n2 @ n28 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24739,plain,
( ( ( sum @ n15 @ n15 )
!= n30 )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24677,zip_derived_cl34,zip_derived_cl79,zip_derived_cl3,zip_derived_cl469,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl154]) ).
thf(zip_derived_cl25146,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n14 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl24739]) ).
thf('75',plain,
( ( sk_ != n1 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25146]) ).
thf(zip_derived_cl512_556,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_557,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_558,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24411,plain,
( ( ( sum @ ( sum @ ( pred @ n1 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n1 ) ) )
!= ( sum @ ( sum @ ( pred @ n1 ) @ ( succ @ n1 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1523,zip_derived_cl24407]) ).
thf(zip_derived_cl34_559,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_560,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_561,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_562,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_563,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152,plain,
( ( sum @ n2 @ n26 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24473,plain,
( ( ( sum @ n14 @ n14 )
!= n28 )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24411,zip_derived_cl34,zip_derived_cl78,zip_derived_cl3,zip_derived_cl438,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl152]) ).
thf(zip_derived_cl24926,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n13 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl24473]) ).
thf('76',plain,
( ( sk_ != n1 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24926]) ).
thf(zip_derived_cl480_564,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_565,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl418_566,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_567,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1503,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_568,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_cl1650,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_cl1503,zip_derived_cl0]) ).
thf(zip_derived_cl14_569,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_570,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4991,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_cl1650,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl11521,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_cl45,zip_derived_cl4991]) ).
thf(zip_derived_cl24141,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24145,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_cl1523,zip_derived_cl24141]) ).
thf(zip_derived_cl34_571,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_572,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_573,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_574,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_575,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150,plain,
( ( sum @ n2 @ n24 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24207,plain,
( ( ( sum @ n13 @ n13 )
!= n26 )
<= ( ( sk__1 = n12 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24145,zip_derived_cl34,zip_derived_cl77,zip_derived_cl3,zip_derived_cl407,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl150]) ).
thf(zip_derived_cl24663,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n12 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl24207]) ).
thf('77',plain,
( ( sk_ != n1 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24663]) ).
thf(zip_derived_cl448_576,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_577,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl386_578,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_579,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1502,plain,
( ( sk__1 = n11 )
<= ( sk__1 = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_580,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_cl1637,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_cl1502,zip_derived_cl0]) ).
thf(zip_derived_cl13_581,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_582,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4877,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_cl1637,zip_derived_cl13,zip_derived_cl13]) ).
thf(zip_derived_cl11132,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_cl44,zip_derived_cl4877]) ).
thf(zip_derived_cl23871,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23875,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_cl1523,zip_derived_cl23871]) ).
thf(zip_derived_cl34_583,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_584,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_585,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_586,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_587,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23937,plain,
( ( ( sum @ n12 @ n12 )
!= n24 )
<= ( ( sk__1 = n11 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23875,zip_derived_cl34,zip_derived_cl76,zip_derived_cl3,zip_derived_cl376,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl148]) ).
thf(zip_derived_cl24397,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n11 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl23937]) ).
thf('78',plain,
( ( sk_ != n1 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24397]) ).
thf(zip_derived_cl416_588,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_589,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl354_590,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_591,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1501,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_592,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_cl1622,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_cl1501,zip_derived_cl0]) ).
thf(zip_derived_cl12_593,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_594,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4763,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_cl1622,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl10745,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_cl43,zip_derived_cl4763]) ).
thf(zip_derived_cl23610,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23612,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_cl1523,zip_derived_cl23610]) ).
thf(zip_derived_cl34_595,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_596,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_597,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_598,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_599,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_600,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_601,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23674,plain,
( ( ( sum @ n11 @ n11 )
!= n22 )
<= ( ( sk__1 = n10 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23612,zip_derived_cl34,zip_derived_cl75,zip_derived_cl3,zip_derived_cl345,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl146]) ).
thf(zip_derived_cl24131,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n10 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl23674]) ).
thf('79',plain,
( ( sk_ != n1 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24131]) ).
thf(zip_derived_cl384_602,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_603,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl322_604,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_605,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1500,plain,
( ( sk__1 = n9 )
<= ( sk__1 = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_606,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_cl1611,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_cl1500,zip_derived_cl0]) ).
thf(zip_derived_cl11_607,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_608,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4637,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_cl1611,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl10358,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_cl42,zip_derived_cl4637]) ).
thf(zip_derived_cl23345,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23349,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_cl1523,zip_derived_cl23345]) ).
thf(zip_derived_cl34_609,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_610,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_611,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_612,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_613,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23411,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n9 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23349,zip_derived_cl34,zip_derived_cl74,zip_derived_cl3,zip_derived_cl314,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl144]) ).
thf(zip_derived_cl23861,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n9 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl23411]) ).
thf('80',plain,
( ( sk_ != n1 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23861]) ).
thf(zip_derived_cl1523_614,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl130_615,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_616,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1494,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_617,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 @ 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_cl1494,zip_derived_cl0]) ).
thf(zip_derived_cl5_618,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_619,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3951,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_cl1563,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl8003,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_cl36,zip_derived_cl3951]) ).
thf(zip_derived_cl19429,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19431,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_cl1523,zip_derived_cl19429]) ).
thf(zip_derived_cl34_620,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_621,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_622,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_623,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_624,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_625,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19493,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ n2 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19431,zip_derived_cl34,zip_derived_cl68,zip_derived_cl3,zip_derived_cl128,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66]) ).
thf(zip_derived_cl192_626,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23850,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n3 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19493,zip_derived_cl192,zip_derived_cl132]) ).
thf('81',plain,
( ( sk_ != n1 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23850]) ).
thf(zip_derived_cl1523_627,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl98_628,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_629,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1493,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_630,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_cl1559,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_cl1493,zip_derived_cl0]) ).
thf(zip_derived_cl4_631,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_632,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3837,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_cl1559,zip_derived_cl4,zip_derived_cl4]) ).
thf(zip_derived_cl7595,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_cl35,zip_derived_cl3837]) ).
thf(zip_derived_cl18771,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18773,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_cl1523,zip_derived_cl18771]) ).
thf(zip_derived_cl34_633,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_634,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_635,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_636,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_637,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18835,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ n2 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18773,zip_derived_cl34,zip_derived_cl67,zip_derived_cl3,zip_derived_cl97,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66]) ).
thf(zip_derived_cl160_638,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_639,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23830,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n2 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18835,zip_derived_cl160,zip_derived_cl130]) ).
thf('82',plain,
( ( sk_ != n1 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23830]) ).
thf(zip_derived_cl352_640,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1523_641,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_642,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22864,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_cl1523,zip_derived_cl22862]) ).
thf(zip_derived_cl34_643,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_644,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_645,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_646,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_647,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22926,plain,
( ( ( sum @ n9 @ n9 )
!= n18 )
<= ( ( sk__1 = n8 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22864,zip_derived_cl34,zip_derived_cl73,zip_derived_cl3,zip_derived_cl283,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl142]) ).
thf(zip_derived_cl23600,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n8 )
& ( sk_ = n1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl22926]) ).
thf('83',plain,
( ( sk_ != n1 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23600]) ).
thf(zip_derived_cl1523_648,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_649,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22235,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_cl1523,zip_derived_cl22233]) ).
thf(zip_derived_cl34_650,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_651,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_652,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_653,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_654,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22297,plain,
( ( ( sum @ n8 @ n8 )
!= n16 )
<= ( ( sk__1 = n7 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22235,zip_derived_cl34,zip_derived_cl72,zip_derived_cl3,zip_derived_cl252,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl140]) ).
thf(zip_derived_cl320_655,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23499,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n7 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22297,zip_derived_cl320]) ).
thf('84',plain,
( ( sk_ != n1 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23499]) ).
thf(zip_derived_cl1523_656,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl226_657,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_658,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1497,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_659,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_cl1581,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_cl1497,zip_derived_cl0]) ).
thf(zip_derived_cl8_660,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_661,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4303,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_cl1581,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl9193,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_cl39,zip_derived_cl4303]) ).
thf(zip_derived_cl21507,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21509,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_cl1523,zip_derived_cl21507]) ).
thf(zip_derived_cl34_662,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_663,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_664,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_665,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_666,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21571,plain,
( ( ( sum @ n7 @ n7 )
!= n14 )
<= ( ( sk__1 = n6 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21509,zip_derived_cl34,zip_derived_cl71,zip_derived_cl3,zip_derived_cl221,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl138]) ).
thf(zip_derived_cl288_667,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23335,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n6 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21571,zip_derived_cl288]) ).
thf('85',plain,
( ( sk_ != n1 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23335]) ).
thf(zip_derived_cl1523_668,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl194_669,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_670,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1496,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl0_671,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_cl1574,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_cl1496,zip_derived_cl0]) ).
thf(zip_derived_cl7_672,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_673,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4185,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_cl1574,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl8796,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_cl38,zip_derived_cl4185]) ).
thf(zip_derived_cl20832,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20834,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_cl1523,zip_derived_cl20832]) ).
thf(zip_derived_cl34_674,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_675,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_676,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_677,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_678,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20896,plain,
( ( ( sum @ n6 @ n6 )
!= n12 )
<= ( ( sk__1 = n5 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20834,zip_derived_cl34,zip_derived_cl70,zip_derived_cl3,zip_derived_cl190,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl136]) ).
thf(zip_derived_cl256_679,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23315,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n5 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20896,zip_derived_cl256]) ).
thf('86',plain,
( ( sk_ != n1 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23315]) ).
thf(zip_derived_cl1523_680,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_681,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20180,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_cl1523,zip_derived_cl20178]) ).
thf(zip_derived_cl34_682,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_683,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl34_684,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_685,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_686,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20242,plain,
( ( ( sum @ n5 @ n5 )
!= n10 )
<= ( ( sk__1 = n4 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20180,zip_derived_cl34,zip_derived_cl69,zip_derived_cl3,zip_derived_cl159,zip_derived_cl34,zip_derived_cl3,zip_derived_cl66,zip_derived_cl134]) ).
thf(zip_derived_cl224_687,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23295,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n4 )
& ( sk_ = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20242,zip_derived_cl224]) ).
thf('87',plain,
( ( sk_ != n1 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23295]) ).
thf(zip_derived_cl1492_688,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1523_689,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_690,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_cl2123,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_cl1523,zip_derived_cl0]) ).
thf(zip_derived_cl3_691,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_692,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2126,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_cl2123,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl2790,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_cl1492,zip_derived_cl2126]) ).
thf(zip_derived_cl3_693,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3_694,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2854,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_cl2790,zip_derived_cl3,zip_derived_cl3]) ).
thf('88',plain,
( ( sk_ != n1 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2854]) ).
thf(zip_derived_cl1551_695,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_696,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28411,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl28327]) ).
thf(zip_derived_cl62_697,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_698,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_699,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_700,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28495,plain,
( ( ( sum @ ( sum @ n28 @ n28 ) @ ( sum @ n26 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28411,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl960_701,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl900,plain,
( ( sum @ n26 @ n30 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl864_702,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_703,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl924,plain,
( ( sum @ n27 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30295,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n27 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28495,zip_derived_cl960,zip_derived_cl900,zip_derived_cl864,zip_derived_cl962,zip_derived_cl924]) ).
thf('89',plain,
( ( sk__1 != n27 )
| ( sk_ != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30295]) ).
thf(zip_derived_cl1550_704,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_705,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28410,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl28327]) ).
thf(zip_derived_cl61_706,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_707,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_708,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_709,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28494,plain,
( ( ( sum @ ( sum @ n27 @ n28 ) @ ( sum @ n26 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28410,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl929,plain,
( ( sum @ n27 @ n28 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl899,plain,
( ( sum @ n26 @ n29 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832_710,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_711,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl862_712,plain,
( ( sum @ n25 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30291,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n27 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28494,zip_derived_cl929,zip_derived_cl899,zip_derived_cl832,zip_derived_cl930,zip_derived_cl862]) ).
thf('90',plain,
( ( sk__1 != n27 )
| ( sk_ != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30291]) ).
thf(zip_derived_cl1024_713,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_714,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_715,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28385,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl28327]) ).
thf(zip_derived_cl36_716,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_717,plain,
( ( sum @ n2 @ n28 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_718,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl874,plain,
( ( sum @ n26 @ n4 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_719,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_720,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_721,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273,plain,
( ( sum @ n6 @ n23 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28447,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n27 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28385,zip_derived_cl36,zip_derived_cl154,zip_derived_cl5,zip_derived_cl874,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl273]) ).
thf(zip_derived_cl30005,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n27 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl28447]) ).
thf('91',plain,
( ( sk__1 != n27 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30005]) ).
thf(zip_derived_cl1022,plain,
( ( sum @ n30 @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_722,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_723,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28382,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl28327]) ).
thf(zip_derived_cl33_724,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_725,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl871,plain,
( ( sum @ n26 @ n1 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_726,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_727,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28444,plain,
( ( ( sum @ ( sum @ n30 @ n28 ) @ n27 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28382,zip_derived_cl33,zip_derived_cl2,zip_derived_cl871,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29962,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1022,zip_derived_cl28444]) ).
thf(zip_derived_cl928_728,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_729,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_730,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29965,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n27 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29962,zip_derived_cl928,zip_derived_cl995,zip_derived_cl87]) ).
thf('92',plain,
( ( sk_ != n0 )
| ( sk__1 != n27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29965]) ).
thf(zip_derived_cl1017,plain,
( ( sum @ n30 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_731,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_732,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28397,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl28327]) ).
thf(zip_derived_cl48_733,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526,plain,
( ( sum @ n14 @ n28 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_734,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl886,plain,
( ( sum @ n26 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_735,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_736,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_737,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_738,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28469,plain,
( ( n22
!= ( sum @ n30 @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28397,zip_derived_cl48,zip_derived_cl526,zip_derived_cl17,zip_derived_cl886,zip_derived_cl416,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29911,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n27 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1017,zip_derived_cl28469]) ).
thf('93',plain,
( ( sk__1 != n27 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29911]) ).
thf(zip_derived_cl992_739,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_740,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_741,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28384,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl28327]) ).
thf(zip_derived_cl35_742,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123,plain,
( ( sum @ n1 @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_743,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl873,plain,
( ( sum @ n26 @ n3 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_744,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_745,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_746,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211,plain,
( ( sum @ n4 @ n23 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28446,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n27 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28384,zip_derived_cl35,zip_derived_cl123,zip_derived_cl4,zip_derived_cl873,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl211]) ).
thf(zip_derived_cl29555,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n27 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl28446]) ).
thf('94',plain,
( ( sk__1 != n27 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29555]) ).
thf(zip_derived_cl991,plain,
( ( sum @ n29 @ n28 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_747,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_748,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28412,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl28327]) ).
thf(zip_derived_cl63_749,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_750,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl870,plain,
( ( sum @ n26 @ n0 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_751,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_752,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28496,plain,
( ( ( sum @ ( sum @ n29 @ n28 ) @ n26 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28412,zip_derived_cl63,zip_derived_cl32,zip_derived_cl870,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29522,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl991,zip_derived_cl28496]) ).
thf(zip_derived_cl896_753,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_754,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl986,plain,
( ( sum @ n29 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29524,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n27 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29522,zip_derived_cl896,zip_derived_cl963,zip_derived_cl986]) ).
thf('95',plain,
( ( sk__1 != n27 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29524]) ).
thf(zip_derived_cl955,plain,
( ( sum @ n28 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_755,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_756,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28396,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl28327]) ).
thf(zip_derived_cl47_757,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495,plain,
( ( sum @ n13 @ n28 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_758,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl885,plain,
( ( sum @ n26 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_759,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_760,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_761,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_762,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28468,plain,
( ( n20
!= ( sum @ n28 @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28396,zip_derived_cl47,zip_derived_cl495,zip_derived_cl16,zip_derived_cl885,zip_derived_cl384,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28972,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n27 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl955,zip_derived_cl28468]) ).
thf('96',plain,
( ( sk__1 != n27 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28972]) ).
thf(zip_derived_cl1548_763,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_764,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28408,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl28327]) ).
thf(zip_derived_cl59_765,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl867_766,plain,
( ( sum @ n25 @ n28 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_767,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl897_768,plain,
( ( sum @ n26 @ n27 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_769,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_770,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_771,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_772,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_773,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28490,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n27 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28408,zip_derived_cl59,zip_derived_cl867,zip_derived_cl28,zip_derived_cl897,zip_derived_cl768,zip_derived_cl59,zip_derived_cl28,zip_derived_cl866,zip_derived_cl738]) ).
thf('97',plain,
( ( sk__1 != n27 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28490]) ).
thf(zip_derived_cl1547_774,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_775,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28407,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl28327]) ).
thf(zip_derived_cl58_776,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl836,plain,
( ( sum @ n24 @ n28 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_777,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl896_778,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_779,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_780,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_781,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_782,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl676,plain,
( ( sum @ n19 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28488,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n27 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28407,zip_derived_cl58,zip_derived_cl836,zip_derived_cl27,zip_derived_cl896,zip_derived_cl736,zip_derived_cl58,zip_derived_cl27,zip_derived_cl834,zip_derived_cl676]) ).
thf('98',plain,
( ( sk__1 != n27 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28488]) ).
thf(zip_derived_cl1546_783,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_784,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28406,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl28327]) ).
thf(zip_derived_cl57_785,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl805,plain,
( ( sum @ n23 @ n28 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_786,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl895,plain,
( ( sum @ n26 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_787,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_788,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_789,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_790,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614,plain,
( ( sum @ n17 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28486,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n27 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28406,zip_derived_cl57,zip_derived_cl805,zip_derived_cl26,zip_derived_cl895,zip_derived_cl704,zip_derived_cl57,zip_derived_cl26,zip_derived_cl802,zip_derived_cl614]) ).
thf('99',plain,
( ( sk_ != n24 )
| ( sk__1 != n27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28486]) ).
thf(zip_derived_cl1545_791,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_792,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28405,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl28327]) ).
thf(zip_derived_cl56_793,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl774,plain,
( ( sum @ n22 @ n28 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_794,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl894,plain,
( ( sum @ n26 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_795,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_796,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_797,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_798,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552_799,plain,
( ( sum @ n15 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28484,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n27 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28405,zip_derived_cl56,zip_derived_cl774,zip_derived_cl25,zip_derived_cl894,zip_derived_cl672,zip_derived_cl56,zip_derived_cl25,zip_derived_cl770,zip_derived_cl552]) ).
thf('100',plain,
( ( sk__1 != n27 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28484]) ).
thf(zip_derived_cl1544_800,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_801,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28404,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl28327]) ).
thf(zip_derived_cl55_802,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743,plain,
( ( sum @ n21 @ n28 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_803,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl893,plain,
( ( sum @ n26 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_804,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_805,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_806,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_807,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490,plain,
( ( sum @ n13 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28482,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n27 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28404,zip_derived_cl55,zip_derived_cl743,zip_derived_cl24,zip_derived_cl893,zip_derived_cl640,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl490]) ).
thf('101',plain,
( ( sk__1 != n27 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28482]) ).
thf(zip_derived_cl1543_808,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_809,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28403,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl28327]) ).
thf(zip_derived_cl54_810,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl712_811,plain,
( ( sum @ n20 @ n28 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_812,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl892,plain,
( ( sum @ n26 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_813,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_814,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_815,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_816,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428,plain,
( ( sum @ n11 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28480,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n27 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28403,zip_derived_cl54,zip_derived_cl712,zip_derived_cl23,zip_derived_cl892,zip_derived_cl608,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl428]) ).
thf('102',plain,
( ( sk__1 != n27 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28480]) ).
thf(zip_derived_cl1542_817,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_818,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28402,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl28327]) ).
thf(zip_derived_cl53_819,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl681,plain,
( ( sum @ n19 @ n28 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_820,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl891_821,plain,
( ( sum @ n26 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_822,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_823,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_824,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_825,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_826,plain,
( ( sum @ n9 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28478,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n27 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28402,zip_derived_cl53,zip_derived_cl681,zip_derived_cl22,zip_derived_cl891,zip_derived_cl576,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl366]) ).
thf('103',plain,
( ( sk__1 != n27 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28478]) ).
thf(zip_derived_cl1541_827,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_828,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28401,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl28327]) ).
thf(zip_derived_cl52_829,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650,plain,
( ( sum @ n18 @ n28 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_830,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl890,plain,
( ( sum @ n26 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_831,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_832,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_833,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_834,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304,plain,
( ( sum @ n7 @ n23 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28476,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n27 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28401,zip_derived_cl52,zip_derived_cl650,zip_derived_cl21,zip_derived_cl890,zip_derived_cl544,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl304]) ).
thf('104',plain,
( ( sk__1 != n27 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28476]) ).
thf(zip_derived_cl1540_835,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_836,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28400,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl28327]) ).
thf(zip_derived_cl51_837,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619,plain,
( ( sum @ n17 @ n28 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_838,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl889,plain,
( ( sum @ n26 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_839,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_840,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_841,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_842,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242,plain,
( ( sum @ n5 @ n23 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28474,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n27 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28400,zip_derived_cl51,zip_derived_cl619,zip_derived_cl20,zip_derived_cl889,zip_derived_cl512,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl242]) ).
thf('105',plain,
( ( sk__1 != n27 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28474]) ).
thf(zip_derived_cl1539_843,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_844,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28399,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl28327]) ).
thf(zip_derived_cl50_845,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588,plain,
( ( sum @ n16 @ n28 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_846,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl888,plain,
( ( sum @ n26 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_847,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_848,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_849,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_850,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180,plain,
( ( sum @ n3 @ n23 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28472,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n27 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28399,zip_derived_cl50,zip_derived_cl588,zip_derived_cl19,zip_derived_cl888,zip_derived_cl480,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl180]) ).
thf('106',plain,
( ( sk__1 != n27 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28472]) ).
thf(zip_derived_cl1538_851,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_852,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28398,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl28327]) ).
thf(zip_derived_cl49_853,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557,plain,
( ( sum @ n15 @ n28 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_854,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl887,plain,
( ( sum @ n26 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_855,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_856,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_857,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_858,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28470,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n27 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28398,zip_derived_cl49,zip_derived_cl557,zip_derived_cl18,zip_derived_cl887,zip_derived_cl448,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl118]) ).
thf('107',plain,
( ( sk__1 != n27 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28470]) ).
thf(zip_derived_cl1535_859,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_860,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28395,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl28327]) ).
thf(zip_derived_cl46_861,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464,plain,
( ( sum @ n12 @ n28 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_862,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl884,plain,
( ( sum @ n26 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_863,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_864,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_865,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_866,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl893_867,plain,
( ( sum @ n26 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28466,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n27 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28395,zip_derived_cl46,zip_derived_cl464,zip_derived_cl15,zip_derived_cl884,zip_derived_cl352,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450,zip_derived_cl893]) ).
thf('108',plain,
( ( sk__1 != n27 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28466]) ).
thf(zip_derived_cl1534_868,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_869,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28394,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl28327]) ).
thf(zip_derived_cl45_870,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433,plain,
( ( sum @ n11 @ n28 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_871,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl883,plain,
( ( sum @ n26 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_872,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_873,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_874,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_875,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl831,plain,
( ( sum @ n24 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28464,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n27 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28394,zip_derived_cl45,zip_derived_cl433,zip_derived_cl14,zip_derived_cl883,zip_derived_cl320,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418,zip_derived_cl831]) ).
thf('109',plain,
( ( sk__1 != n27 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28464]) ).
thf(zip_derived_cl1533_876,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_877,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28393,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl28327]) ).
thf(zip_derived_cl44_878,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402,plain,
( ( sum @ n10 @ n28 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_879,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl882,plain,
( ( sum @ n26 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_880,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_881,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_882,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_883,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl769,plain,
( ( sum @ n22 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28462,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n27 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28393,zip_derived_cl44,zip_derived_cl402,zip_derived_cl13,zip_derived_cl882,zip_derived_cl288,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl769]) ).
thf('110',plain,
( ( sk__1 != n27 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28462]) ).
thf(zip_derived_cl1532_884,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_885,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28392,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl28327]) ).
thf(zip_derived_cl43_886,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371,plain,
( ( sum @ n9 @ n28 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_887,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl881,plain,
( ( sum @ n26 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_888,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_889,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_890,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_891,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl707,plain,
( ( sum @ n20 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28460,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n27 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28392,zip_derived_cl43,zip_derived_cl371,zip_derived_cl12,zip_derived_cl881,zip_derived_cl256,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl707]) ).
thf('111',plain,
( ( sk__1 != n27 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28460]) ).
thf(zip_derived_cl1531_892,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_893,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28391,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl28327]) ).
thf(zip_derived_cl42_894,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340,plain,
( ( sum @ n8 @ n28 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_895,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl880,plain,
( ( sum @ n26 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_896,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_897,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_898,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_899,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645,plain,
( ( sum @ n18 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28458,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n27 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28391,zip_derived_cl42,zip_derived_cl340,zip_derived_cl11,zip_derived_cl880,zip_derived_cl224,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl645]) ).
thf('112',plain,
( ( sk__1 != n27 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28458]) ).
thf(zip_derived_cl1530_900,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_901,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28390,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl28327]) ).
thf(zip_derived_cl41_902,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309,plain,
( ( sum @ n7 @ n28 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_903,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl879,plain,
( ( sum @ n26 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_904,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_905,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_906,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_907,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583,plain,
( ( sum @ n16 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28456,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n27 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28390,zip_derived_cl41,zip_derived_cl309,zip_derived_cl10,zip_derived_cl879,zip_derived_cl192,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl583]) ).
thf('113',plain,
( ( sk__1 != n27 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28456]) ).
thf(zip_derived_cl1529_908,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_909,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28389,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl28327]) ).
thf(zip_derived_cl40_910,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278,plain,
( ( sum @ n6 @ n28 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_911,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl878,plain,
( ( sum @ n26 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_912,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_913,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_914,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_915,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521,plain,
( ( sum @ n14 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28454,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n27 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28389,zip_derived_cl40,zip_derived_cl278,zip_derived_cl9,zip_derived_cl878,zip_derived_cl160,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl521]) ).
thf('114',plain,
( ( sk__1 != n27 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28454]) ).
thf(zip_derived_cl1528_916,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_917,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28388,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl28327]) ).
thf(zip_derived_cl39_918,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247,plain,
( ( sum @ n5 @ n28 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_919,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl877,plain,
( ( sum @ n26 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_920,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_921,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_922,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_923,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459,plain,
( ( sum @ n12 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28452,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n27 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28388,zip_derived_cl39,zip_derived_cl247,zip_derived_cl8,zip_derived_cl877,zip_derived_cl128,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl459]) ).
thf('115',plain,
( ( sk__1 != n27 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28452]) ).
thf(zip_derived_cl1527_924,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_925,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28387,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl28327]) ).
thf(zip_derived_cl38_926,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216,plain,
( ( sum @ n4 @ n28 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_927,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl876,plain,
( ( sum @ n26 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_928,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_929,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_930,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_931,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397,plain,
( ( sum @ n10 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28450,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n27 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28387,zip_derived_cl38,zip_derived_cl216,zip_derived_cl7,zip_derived_cl876,zip_derived_cl96,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl397]) ).
thf('116',plain,
( ( sk__1 != n27 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28450]) ).
thf(zip_derived_cl1526_932,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28327_933,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ n26 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n23 ) )
<= ( sk__1 = n27 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl17321]) ).
thf(zip_derived_cl28386,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n28 ) @ ( sum @ n26 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n23 ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl28327]) ).
thf(zip_derived_cl37_934,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185,plain,
( ( sum @ n3 @ n28 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_935,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl875,plain,
( ( sum @ n26 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_936,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_937,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_938,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_939,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335,plain,
( ( sum @ n8 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28448,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n27 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28386,zip_derived_cl37,zip_derived_cl185,zip_derived_cl6,zip_derived_cl875,zip_derived_cl64,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl335]) ).
thf('117',plain,
( ( sk__1 != n27 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28448]) ).
thf(zip_derived_cl1549_940,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl7465_941,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n28 ) @ ( sum @ ( pred @ n27 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n27 ) @ n28 ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl1992,zip_derived_cl29,zip_derived_cl29]) ).
thf(zip_derived_cl7493,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n28 ) @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ ( sum @ ( pred @ n27 ) @ n28 ) ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl7465]) ).
thf(zip_derived_cl29_942,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_943,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7555,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n28 ) @ ( sum @ ( pred @ n27 ) @ n28 ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ n28 ) @ ( sum @ ( pred @ n27 ) @ n28 ) ) )
<= ( ( sk__1 = n27 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7493,zip_derived_cl29,zip_derived_cl29]) ).
thf('118',plain,
( ( sk__1 != n27 )
| ( sk_ != n27 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7555]) ).
thf(zip_derived_cl1549_944,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_945,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27703,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl27632]) ).
thf(zip_derived_cl60_946,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_947,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_948,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_949,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27782,plain,
( ( ( sum @ ( sum @ n26 @ n26 ) @ ( sum @ n24 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27703,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl896_950,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl836_951,plain,
( ( sum @ n24 @ n28 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_952,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_953,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl796,plain,
( ( sum @ n23 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30263,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n25 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27782,zip_derived_cl896,zip_derived_cl836,zip_derived_cl736,zip_derived_cl898,zip_derived_cl796]) ).
thf('119',plain,
( ( sk_ != n27 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30263]) ).
thf(zip_derived_cl1549_954,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_955,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27357,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl27296]) ).
thf(zip_derived_cl60_956,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_957,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_958,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_959,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27433,plain,
( ( ( sum @ ( sum @ n26 @ n25 ) @ ( sum @ n23 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27357,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl895_960,plain,
( ( sum @ n26 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl805_961,plain,
( ( sum @ n23 @ n28 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_962,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_963,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl794_964,plain,
( ( sum @ n23 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30243,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n24 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27433,zip_derived_cl895,zip_derived_cl805,zip_derived_cl704,zip_derived_cl898,zip_derived_cl794]) ).
thf('120',plain,
( ( sk_ != n27 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30243]) ).
thf(zip_derived_cl1549_965,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_966,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27043,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl26989]) ).
thf(zip_derived_cl60_967,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_968,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_969,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_970,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27117,plain,
( ( ( sum @ ( sum @ n26 @ n24 ) @ ( sum @ n22 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27043,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl894_971,plain,
( ( sum @ n26 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl774_972,plain,
( ( sum @ n22 @ n28 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_973,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_974,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl792,plain,
( ( sum @ n23 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30219,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n23 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27117,zip_derived_cl894,zip_derived_cl774,zip_derived_cl672,zip_derived_cl898,zip_derived_cl792]) ).
thf('121',plain,
( ( sk_ != n27 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30219]) ).
thf(zip_derived_cl1549_975,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_976,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26745,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl26692]) ).
thf(zip_derived_cl60_977,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_978,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_979,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_980,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26816,plain,
( ( ( sum @ ( sum @ n26 @ n23 ) @ ( sum @ n21 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26745,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl893_981,plain,
( ( sum @ n26 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743_982,plain,
( ( sum @ n21 @ n28 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_983,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_984,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl790,plain,
( ( sum @ n23 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30191,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n22 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26816,zip_derived_cl893,zip_derived_cl743,zip_derived_cl640,zip_derived_cl898,zip_derived_cl790]) ).
thf('122',plain,
( ( sk_ != n27 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30191]) ).
thf(zip_derived_cl1549_985,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_986,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29633,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl29595]) ).
thf(zip_derived_cl60_987,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl871_988,plain,
( ( sum @ n26 @ n1 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_989,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_990,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_991,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_992,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl777,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29697,plain,
( ( ( sum @ n27 @ ( sum @ n30 @ n28 ) )
!= n23 )
<= ( ( sk__1 = n0 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29633,zip_derived_cl60,zip_derived_cl871,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29,zip_derived_cl898,zip_derived_cl777]) ).
thf(zip_derived_cl1022_993,plain,
( ( sum @ n30 @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl928_994,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30101,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n0 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29697,zip_derived_cl1022,zip_derived_cl928]) ).
thf('123',plain,
( ( sk_ != n27 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30101]) ).
thf(zip_derived_cl1024_995,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_996,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_997,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_998,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19457,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl19429]) ).
thf(zip_derived_cl60_999,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1000,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1001,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1002,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19520,plain,
( ( ( sum @ ( sum @ n26 @ n4 ) @ ( sum @ n2 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19457,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl154_1003,plain,
( ( sum @ n2 @ n28 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25593,plain,
( ( ( sum @ ( sum @ n26 @ n4 ) @ n30 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19520,zip_derived_cl154]) ).
thf(zip_derived_cl28330,plain,
( ( ( sum @ ( sum @ n26 @ n4 ) @ n30 )
!= ( sum @ n23 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl25593]) ).
thf(zip_derived_cl874_1004,plain,
( ( sum @ n26 @ n4 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl783,plain,
( ( sum @ n23 @ n6 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28349,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n3 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28330,zip_derived_cl874,zip_derived_cl783]) ).
thf(zip_derived_cl30004,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n3 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl28349]) ).
thf('124',plain,
( ( sk_ != n27 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30004]) ).
thf(zip_derived_cl1549_1005,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_1006,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29325,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl29297]) ).
thf(zip_derived_cl60_1007,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl870_1008,plain,
( ( sum @ n26 @ n0 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1009,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1010,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1011,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_1012,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl806,plain,
( ( sum @ n23 @ n29 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29387,plain,
( ( ( sum @ n26 @ ( sum @ n29 @ n28 ) )
!= n21 )
<= ( ( sk__1 = n30 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29325,zip_derived_cl60,zip_derived_cl870,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29,zip_derived_cl898,zip_derived_cl806]) ).
thf(zip_derived_cl991_1013,plain,
( ( sum @ n29 @ n28 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl896_1014,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29852,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n30 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29387,zip_derived_cl991,zip_derived_cl896]) ).
thf('125',plain,
( ( sk_ != n27 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29852]) ).
thf(zip_derived_cl992_1015,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_1016,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1017,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_1018,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18799,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl18771]) ).
thf(zip_derived_cl60_1019,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1020,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1021,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1022,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18862,plain,
( ( ( sum @ ( sum @ n26 @ n3 ) @ ( sum @ n1 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18799,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl123_1023,plain,
( ( sum @ n1 @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25529,plain,
( ( ( sum @ ( sum @ n26 @ n3 ) @ n29 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18862,zip_derived_cl123]) ).
thf(zip_derived_cl28329,plain,
( ( ( sum @ ( sum @ n26 @ n3 ) @ n29 )
!= ( sum @ n23 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl25529]) ).
thf(zip_derived_cl873_1024,plain,
( ( sum @ n26 @ n3 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl781,plain,
( ( sum @ n23 @ n4 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28348,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n2 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28329,zip_derived_cl873,zip_derived_cl781]) ).
thf(zip_derived_cl29554,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n2 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl28348]) ).
thf('126',plain,
( ( sk_ != n27 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29554]) ).
thf(zip_derived_cl1549_1025,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_1026,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29146,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl29056]) ).
thf(zip_derived_cl60_1027,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl900_1028,plain,
( ( sum @ n26 @ n30 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1029,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl960_1030,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl864_1031,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1032,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1033,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_1034,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl804_1035,plain,
( ( sum @ n23 @ n27 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29232,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n29 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29146,zip_derived_cl60,zip_derived_cl900,zip_derived_cl29,zip_derived_cl960,zip_derived_cl864,zip_derived_cl60,zip_derived_cl29,zip_derived_cl898,zip_derived_cl804]) ).
thf('127',plain,
( ( sk_ != n27 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29232]) ).
thf(zip_derived_cl960_1036,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_1037,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1038,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_1039,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18390,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl18362]) ).
thf(zip_derived_cl60_1040,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1041,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1042,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1043,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18453,plain,
( ( ( sum @ ( sum @ n26 @ n2 ) @ ( sum @ n0 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18390,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl92_1044,plain,
( ( sum @ n0 @ n28 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25316,plain,
( ( ( sum @ ( sum @ n26 @ n2 ) @ n28 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18453,zip_derived_cl92]) ).
thf(zip_derived_cl28328,plain,
( ( ( sum @ ( sum @ n26 @ n2 ) @ n28 )
!= ( sum @ n23 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl25316]) ).
thf(zip_derived_cl872_1045,plain,
( ( sum @ n26 @ n2 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl779_1046,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28347,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n1 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28328,zip_derived_cl872,zip_derived_cl779]) ).
thf(zip_derived_cl29025,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n1 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl28347]) ).
thf('128',plain,
( ( sk_ != n27 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29025]) ).
thf(zip_derived_cl1549_1047,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_1048,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28774,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl28682]) ).
thf(zip_derived_cl60_1049,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl899_1050,plain,
( ( sum @ n26 @ n29 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1051,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl929_1052,plain,
( ( sum @ n27 @ n28 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832_1053,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1054,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1055,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_1056,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_1057,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28858,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n28 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28774,zip_derived_cl60,zip_derived_cl899,zip_derived_cl29,zip_derived_cl929,zip_derived_cl832,zip_derived_cl60,zip_derived_cl29,zip_derived_cl898,zip_derived_cl802]) ).
thf('129',plain,
( ( sk_ != n27 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28858]) ).
thf(zip_derived_cl1549_1058,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_1059,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26470,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl26424]) ).
thf(zip_derived_cl60_1060,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1061,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1062,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1063,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26539,plain,
( ( ( sum @ ( sum @ n26 @ n22 ) @ ( sum @ n20 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26470,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl892_1064,plain,
( ( sum @ n26 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl712_1065,plain,
( ( sum @ n20 @ n28 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_1066,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_1067,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl788,plain,
( ( sum @ n23 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28626,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n21 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26539,zip_derived_cl892,zip_derived_cl712,zip_derived_cl608,zip_derived_cl898,zip_derived_cl788]) ).
thf('130',plain,
( ( sk_ != n27 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28626]) ).
thf(zip_derived_cl1549_1068,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_1069,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26195,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl26155]) ).
thf(zip_derived_cl60_1070,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1071,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1072,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1073,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26262,plain,
( ( ( sum @ ( sum @ n26 @ n21 ) @ ( sum @ n19 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26195,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl891_1074,plain,
( ( sum @ n26 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl681_1075,plain,
( ( sum @ n19 @ n28 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_1076,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_1077,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl786,plain,
( ( sum @ n23 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28596,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n20 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26262,zip_derived_cl891,zip_derived_cl681,zip_derived_cl576,zip_derived_cl898,zip_derived_cl786]) ).
thf('131',plain,
( ( sk_ != n27 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28596]) ).
thf(zip_derived_cl1549_1078,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_1079,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25925,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl25889]) ).
thf(zip_derived_cl60_1080,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1081,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1082,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1083,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25991,plain,
( ( ( sum @ ( sum @ n26 @ n20 ) @ ( sum @ n18 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25925,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl890_1084,plain,
( ( sum @ n26 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_1085,plain,
( ( sum @ n18 @ n28 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_1086,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_1087,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl784,plain,
( ( sum @ n23 @ n7 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28562,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n19 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25991,zip_derived_cl890,zip_derived_cl650,zip_derived_cl544,zip_derived_cl898,zip_derived_cl784]) ).
thf('132',plain,
( ( sk_ != n27 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28562]) ).
thf(zip_derived_cl898_1088,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1089,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_1090,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25655,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl25619]) ).
thf(zip_derived_cl60_1091,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1092,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1093,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1094,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25720,plain,
( ( ( sum @ ( sum @ n26 @ n19 ) @ ( sum @ n17 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25655,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl889_1095,plain,
( ( sum @ n26 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619_1096,plain,
( ( sum @ n17 @ n28 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_1097,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28252,plain,
( ( n28
!= ( sum @ ( sum @ n26 @ n28 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25720,zip_derived_cl889,zip_derived_cl619,zip_derived_cl512]) ).
thf(zip_derived_cl28346,plain,
( ( n28
!= ( sum @ n23 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl28252]) ).
thf(zip_derived_cl782,plain,
( ( sum @ n23 @ n5 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28380,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n18 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28346,zip_derived_cl782]) ).
thf('133',plain,
( ( sk_ != n27 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28380]) ).
thf(zip_derived_cl898_1098,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1099,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_1100,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25385,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl25355]) ).
thf(zip_derived_cl60_1101,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1102,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1103,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1104,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25449,plain,
( ( ( sum @ ( sum @ n26 @ n18 ) @ ( sum @ n16 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25385,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl588_1105,plain,
( ( sum @ n16 @ n28 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27905,plain,
( ( ( sum @ ( sum @ n26 @ n18 ) @ n13 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25449,zip_derived_cl588]) ).
thf(zip_derived_cl28344,plain,
( ( ( sum @ ( sum @ n26 @ n18 ) @ n13 )
!= ( sum @ n23 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl27905]) ).
thf(zip_derived_cl888_1106,plain,
( ( sum @ n26 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_1107,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl780,plain,
( ( sum @ n23 @ n3 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28376,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n17 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28344,zip_derived_cl888,zip_derived_cl480,zip_derived_cl780]) ).
thf('134',plain,
( ( sk_ != n27 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28376]) ).
thf(zip_derived_cl898_1108,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1109,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_1110,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25185,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl25157]) ).
thf(zip_derived_cl60_1111,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1112,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1113,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1114,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25248,plain,
( ( ( sum @ ( sum @ n26 @ n17 ) @ ( sum @ n15 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25185,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl557_1115,plain,
( ( sum @ n15 @ n28 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27863,plain,
( ( ( sum @ ( sum @ n26 @ n17 ) @ n12 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25248,zip_derived_cl557]) ).
thf(zip_derived_cl28343,plain,
( ( ( sum @ ( sum @ n26 @ n17 ) @ n12 )
!= ( sum @ n23 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl27863]) ).
thf(zip_derived_cl887_1116,plain,
( ( sum @ n26 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_1117,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl778,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28374,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n16 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28343,zip_derived_cl887,zip_derived_cl448,zip_derived_cl778]) ).
thf('135',plain,
( ( sk_ != n27 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28374]) ).
thf(zip_derived_cl898_1118,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1119,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_1120,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24966,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl24936]) ).
thf(zip_derived_cl60_1121,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1122,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1123,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1124,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25029,plain,
( ( ( sum @ ( sum @ n26 @ n16 ) @ ( sum @ n14 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24966,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl526_1125,plain,
( ( sum @ n14 @ n28 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27570,plain,
( ( ( sum @ ( sum @ n26 @ n16 ) @ n11 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25029,zip_derived_cl526]) ).
thf(zip_derived_cl28342,plain,
( ( ( sum @ ( sum @ n26 @ n16 ) @ n11 )
!= ( sum @ n23 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl27570]) ).
thf(zip_derived_cl886_1126,plain,
( ( sum @ n26 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_1127,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl807,plain,
( ( sum @ n23 @ n30 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28372,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n15 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28342,zip_derived_cl886,zip_derived_cl416,zip_derived_cl807]) ).
thf('136',plain,
( ( sk_ != n27 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28372]) ).
thf(zip_derived_cl898_1128,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1129,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_1130,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24703,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl24673]) ).
thf(zip_derived_cl60_1131,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1132,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1133,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1134,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24766,plain,
( ( ( sum @ ( sum @ n26 @ n15 ) @ ( sum @ n13 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24703,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl495_1135,plain,
( ( sum @ n13 @ n28 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27506,plain,
( ( ( sum @ ( sum @ n26 @ n15 ) @ n10 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24766,zip_derived_cl495]) ).
thf(zip_derived_cl28341,plain,
( ( ( sum @ ( sum @ n26 @ n15 ) @ n10 )
!= ( sum @ n23 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl27506]) ).
thf(zip_derived_cl885_1136,plain,
( ( sum @ n26 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_1137,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl805_1138,plain,
( ( sum @ n23 @ n28 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28370,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n14 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28341,zip_derived_cl885,zip_derived_cl384,zip_derived_cl805]) ).
thf('137',plain,
( ( sk_ != n27 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28370]) ).
thf(zip_derived_cl898_1139,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1140,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_1141,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24437,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl24407]) ).
thf(zip_derived_cl60_1142,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1143,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1144,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1145,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24500,plain,
( ( ( sum @ ( sum @ n26 @ n14 ) @ ( sum @ n12 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24437,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl464_1146,plain,
( ( sum @ n12 @ n28 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27215,plain,
( ( ( sum @ ( sum @ n26 @ n14 ) @ n9 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24500,zip_derived_cl464]) ).
thf(zip_derived_cl28340,plain,
( ( ( sum @ ( sum @ n26 @ n14 ) @ n9 )
!= ( sum @ n23 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl27215]) ).
thf(zip_derived_cl884_1147,plain,
( ( sum @ n26 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_1148,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl803,plain,
( ( sum @ n23 @ n26 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28368,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n13 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28340,zip_derived_cl884,zip_derived_cl352,zip_derived_cl803]) ).
thf('138',plain,
( ( sk_ != n27 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28368]) ).
thf(zip_derived_cl898_1149,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1150,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_1151,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24171,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl24141]) ).
thf(zip_derived_cl60_1152,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1153,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1154,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1155,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24234,plain,
( ( ( sum @ ( sum @ n26 @ n13 ) @ ( sum @ n11 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24171,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl433_1156,plain,
( ( sum @ n11 @ n28 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27171,plain,
( ( ( sum @ ( sum @ n26 @ n13 ) @ n8 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24234,zip_derived_cl433]) ).
thf(zip_derived_cl28339,plain,
( ( ( sum @ ( sum @ n26 @ n13 ) @ n8 )
!= ( sum @ n23 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl27171]) ).
thf(zip_derived_cl883_1157,plain,
( ( sum @ n26 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_1158,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl801,plain,
( ( sum @ n23 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28366,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n12 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28339,zip_derived_cl883,zip_derived_cl320,zip_derived_cl801]) ).
thf('139',plain,
( ( sk_ != n27 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28366]) ).
thf(zip_derived_cl898_1159,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1160,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_1161,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23901,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl23871]) ).
thf(zip_derived_cl60_1162,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1163,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1164,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1165,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23964,plain,
( ( ( sum @ ( sum @ n26 @ n12 ) @ ( sum @ n10 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23901,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl402_1166,plain,
( ( sum @ n10 @ n28 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26911,plain,
( ( ( sum @ ( sum @ n26 @ n12 ) @ n7 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23964,zip_derived_cl402]) ).
thf(zip_derived_cl28338,plain,
( ( ( sum @ ( sum @ n26 @ n12 ) @ n7 )
!= ( sum @ n23 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl26911]) ).
thf(zip_derived_cl882_1167,plain,
( ( sum @ n26 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_1168,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl799,plain,
( ( sum @ n23 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28364,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n11 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28338,zip_derived_cl882,zip_derived_cl288,zip_derived_cl799]) ).
thf('140',plain,
( ( sk_ != n27 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28364]) ).
thf(zip_derived_cl898_1169,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1170,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_1171,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23638,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl23610]) ).
thf(zip_derived_cl60_1172,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1173,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1174,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1175,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23701,plain,
( ( ( sum @ ( sum @ n26 @ n11 ) @ ( sum @ n9 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23638,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl371_1176,plain,
( ( sum @ n9 @ n28 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26648,plain,
( ( ( sum @ ( sum @ n26 @ n11 ) @ n6 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23701,zip_derived_cl371]) ).
thf(zip_derived_cl28337,plain,
( ( ( sum @ ( sum @ n26 @ n11 ) @ n6 )
!= ( sum @ n23 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl26648]) ).
thf(zip_derived_cl881_1177,plain,
( ( sum @ n26 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_1178,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl797,plain,
( ( sum @ n23 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28362,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n10 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28337,zip_derived_cl881,zip_derived_cl256,zip_derived_cl797]) ).
thf('141',plain,
( ( sk_ != n27 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28362]) ).
thf(zip_derived_cl898_1179,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1180,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_1181,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23375,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl23345]) ).
thf(zip_derived_cl60_1182,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1183,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1184,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1185,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23438,plain,
( ( ( sum @ ( sum @ n26 @ n10 ) @ ( sum @ n8 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23375,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl340_1186,plain,
( ( sum @ n8 @ n28 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26607,plain,
( ( ( sum @ ( sum @ n26 @ n10 ) @ n5 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23438,zip_derived_cl340]) ).
thf(zip_derived_cl28336,plain,
( ( ( sum @ ( sum @ n26 @ n10 ) @ n5 )
!= ( sum @ n23 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl26607]) ).
thf(zip_derived_cl880_1187,plain,
( ( sum @ n26 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_1188,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl795,plain,
( ( sum @ n23 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28360,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n9 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28336,zip_derived_cl880,zip_derived_cl224,zip_derived_cl795]) ).
thf('142',plain,
( ( sk_ != n27 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28360]) ).
thf(zip_derived_cl898_1189,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1190,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_1191,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22890,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl22862]) ).
thf(zip_derived_cl60_1192,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1193,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1194,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1195,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22953,plain,
( ( ( sum @ ( sum @ n26 @ n9 ) @ ( sum @ n7 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22890,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl309_1196,plain,
( ( sum @ n7 @ n28 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26378,plain,
( ( ( sum @ ( sum @ n26 @ n9 ) @ n4 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22953,zip_derived_cl309]) ).
thf(zip_derived_cl28335,plain,
( ( ( sum @ ( sum @ n26 @ n9 ) @ n4 )
!= ( sum @ n23 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl26378]) ).
thf(zip_derived_cl879_1197,plain,
( ( sum @ n26 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_1198,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl793_1199,plain,
( ( sum @ n23 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28358,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n8 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28335,zip_derived_cl879,zip_derived_cl192,zip_derived_cl793]) ).
thf('143',plain,
( ( sk_ != n27 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28358]) ).
thf(zip_derived_cl898_1200,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1201,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_1202,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22261,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl22233]) ).
thf(zip_derived_cl60_1203,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1204,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1205,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1206,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22324,plain,
( ( ( sum @ ( sum @ n26 @ n8 ) @ ( sum @ n6 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22261,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl278_1207,plain,
( ( sum @ n6 @ n28 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26320,plain,
( ( ( sum @ ( sum @ n26 @ n8 ) @ n3 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22324,zip_derived_cl278]) ).
thf(zip_derived_cl28334,plain,
( ( ( sum @ ( sum @ n26 @ n8 ) @ n3 )
!= ( sum @ n23 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl26320]) ).
thf(zip_derived_cl878_1208,plain,
( ( sum @ n26 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1209,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl791,plain,
( ( sum @ n23 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28356,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n7 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28334,zip_derived_cl878,zip_derived_cl160,zip_derived_cl791]) ).
thf('144',plain,
( ( sk_ != n27 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28356]) ).
thf(zip_derived_cl898_1210,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1211,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1212,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21535,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl21507]) ).
thf(zip_derived_cl60_1213,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1214,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1215,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1216,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21598,plain,
( ( ( sum @ ( sum @ n26 @ n7 ) @ ( sum @ n5 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21535,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl247_1217,plain,
( ( sum @ n5 @ n28 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26093,plain,
( ( ( sum @ ( sum @ n26 @ n7 ) @ n2 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21598,zip_derived_cl247]) ).
thf(zip_derived_cl28333,plain,
( ( ( sum @ ( sum @ n26 @ n7 ) @ n2 )
!= ( sum @ n23 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl26093]) ).
thf(zip_derived_cl877_1218,plain,
( ( sum @ n26 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_1219,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl789,plain,
( ( sum @ n23 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28354,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n6 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28333,zip_derived_cl877,zip_derived_cl128,zip_derived_cl789]) ).
thf('145',plain,
( ( sk_ != n27 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28354]) ).
thf(zip_derived_cl898_1220,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1221,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1222,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20860,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl20832]) ).
thf(zip_derived_cl60_1223,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1224,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1225,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1226,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20923,plain,
( ( ( sum @ ( sum @ n26 @ n6 ) @ ( sum @ n4 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20860,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl216_1227,plain,
( ( sum @ n4 @ n28 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26039,plain,
( ( ( sum @ ( sum @ n26 @ n6 ) @ n1 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20923,zip_derived_cl216]) ).
thf(zip_derived_cl28332,plain,
( ( ( sum @ ( sum @ n26 @ n6 ) @ n1 )
!= ( sum @ n23 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl26039]) ).
thf(zip_derived_cl876_1228,plain,
( ( sum @ n26 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_1229,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl787,plain,
( ( sum @ n23 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28352,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n5 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28332,zip_derived_cl876,zip_derived_cl96,zip_derived_cl787]) ).
thf('146',plain,
( ( sk_ != n27 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28352]) ).
thf(zip_derived_cl898_1230,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1231,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_1232,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20206,plain,
( ( ( sum @ ( sum @ ( pred @ n27 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n27 ) ) )
!= ( sum @ ( sum @ ( pred @ n27 ) @ ( succ @ n27 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1549,zip_derived_cl20178]) ).
thf(zip_derived_cl60_1233,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1234,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1235,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29_1236,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20269,plain,
( ( ( sum @ ( sum @ n26 @ n5 ) @ ( sum @ n3 @ n28 ) )
!= ( sum @ ( sum @ n26 @ n28 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20206,zip_derived_cl60,zip_derived_cl29,zip_derived_cl60,zip_derived_cl29]) ).
thf(zip_derived_cl185_1237,plain,
( ( sum @ n3 @ n28 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25819,plain,
( ( ( sum @ ( sum @ n26 @ n5 ) @ n0 )
!= ( sum @ ( sum @ n26 @ n28 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20269,zip_derived_cl185]) ).
thf(zip_derived_cl28331,plain,
( ( ( sum @ ( sum @ n26 @ n5 ) @ n0 )
!= ( sum @ n23 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n27 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl898,zip_derived_cl25819]) ).
thf(zip_derived_cl875_1238,plain,
( ( sum @ n26 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1239,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl785,plain,
( ( sum @ n23 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28350,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n4 )
& ( sk_ = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28331,zip_derived_cl875,zip_derived_cl64,zip_derived_cl785]) ).
thf('147',plain,
( ( sk_ != n27 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28350]) ).
thf(zip_derived_cl1000,plain,
( ( sum @ n30 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_1240,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1241,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20833,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_cl1522,zip_derived_cl20832]) ).
thf(zip_derived_cl33_1242,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1243,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1244,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1245,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20895,plain,
( ( ( sum @ ( sum @ n30 @ n6 ) @ n5 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20833,zip_derived_cl33,zip_derived_cl2,zip_derived_cl189,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29750,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1000,zip_derived_cl20895]) ).
thf(zip_derived_cl224_1246,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_1247,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1248,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29752,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n5 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29750,zip_derived_cl224,zip_derived_cl995,zip_derived_cl74]) ).
thf('148',plain,
( ( sk_ != n0 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29752]) ).
thf(zip_derived_cl992_1249,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_1250,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_1251,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1252,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20857,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_cl1546,zip_derived_cl20832]) ).
thf(zip_derived_cl57_1253,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1254,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1255,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1256,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20920,plain,
( ( ( sum @ ( sum @ n23 @ n6 ) @ ( sum @ n4 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20857,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl213,plain,
( ( sum @ n4 @ n25 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26036,plain,
( ( ( sum @ ( sum @ n23 @ n6 ) @ n29 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20920,zip_derived_cl213]) ).
thf(zip_derived_cl27301,plain,
( ( ( sum @ ( sum @ n23 @ n6 ) @ n29 )
!= ( sum @ n17 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl26036]) ).
thf(zip_derived_cl783_1257,plain,
( ( sum @ n23 @ n6 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601,plain,
( ( sum @ n17 @ n10 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27314,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27301,zip_derived_cl783,zip_derived_cl601]) ).
thf(zip_derived_cl29548,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n5 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl27314]) ).
thf('149',plain,
( ( sk_ != n24 )
| ( sk__1 != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29548]) ).
thf(zip_derived_cl969,plain,
( ( sum @ n29 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_1258,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1259,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20863,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl20832]) ).
thf(zip_derived_cl63_1260,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1261,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1262,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1263,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20926,plain,
( ( ( sum @ ( sum @ n29 @ n6 ) @ n4 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20863,zip_derived_cl63,zip_derived_cl32,zip_derived_cl188,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29433,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl969,zip_derived_cl20926]) ).
thf(zip_derived_cl192_1264,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_1265,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29434,plain,
( ( n8
!= ( sum @ n29 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29433,zip_derived_cl192,zip_derived_cl963]) ).
thf(zip_derived_cl973,plain,
( ( sum @ n29 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29482,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n5 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29434,zip_derived_cl973]) ).
thf('150',plain,
( ( sk__1 != n5 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29482]) ).
thf(zip_derived_cl962_1266,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1267,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1268,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20862,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl20832]) ).
thf(zip_derived_cl62_1269,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1270,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1271,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1272,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20925,plain,
( ( ( sum @ ( sum @ n28 @ n6 ) @ ( sum @ n4 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20862,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl218,plain,
( ( sum @ n4 @ n30 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26041,plain,
( ( ( sum @ ( sum @ n28 @ n6 ) @ n3 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20925,zip_derived_cl218]) ).
thf(zip_derived_cl29061,plain,
( ( ( sum @ ( sum @ n28 @ n6 ) @ n3 )
!= ( sum @ n27 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl26041]) ).
thf(zip_derived_cl938,plain,
( ( sum @ n28 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1273,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl911,plain,
( ( sum @ n27 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29085,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n5 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29061,zip_derived_cl938,zip_derived_cl160,zip_derived_cl911]) ).
thf('151',plain,
( ( sk__1 != n5 )
| ( sk_ != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29085]) ).
thf(zip_derived_cl960_1274,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_1275,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_1276,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1277,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20856,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_cl1545,zip_derived_cl20832]) ).
thf(zip_derived_cl56_1278,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_1279,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1280,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_1281,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20919,plain,
( ( ( sum @ ( sum @ n22 @ n6 ) @ ( sum @ n4 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20856,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl212,plain,
( ( sum @ n4 @ n24 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26035,plain,
( ( ( sum @ ( sum @ n22 @ n6 ) @ n28 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20919,zip_derived_cl212]) ).
thf(zip_derived_cl26994,plain,
( ( ( sum @ ( sum @ n22 @ n6 ) @ n28 )
!= ( sum @ n15 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl26035]) ).
thf(zip_derived_cl752,plain,
( ( sum @ n22 @ n6 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl539,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27005,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26994,zip_derived_cl752,zip_derived_cl539]) ).
thf(zip_derived_cl29017,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n5 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl27005]) ).
thf('152',plain,
( ( sk__1 != n5 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29017]) ).
thf(zip_derived_cl942,plain,
( ( sum @ n28 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_1282,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1283,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20847,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_cl1536,zip_derived_cl20832]) ).
thf(zip_derived_cl47_1284,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1285,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1286,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1287,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20910,plain,
( ( ( sum @ ( sum @ n13 @ n6 ) @ ( sum @ n4 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20847,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl473,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_1288,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25864,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n28 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20910,zip_derived_cl473,zip_derived_cl203,zip_derived_cl482]) ).
thf(zip_derived_cl28939,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl942,zip_derived_cl25864]) ).
thf(zip_derived_cl672_1289,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28940,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n5 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28939,zip_derived_cl672]) ).
thf('153',plain,
( ( sk__1 != n5 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28940]) ).
thf(zip_derived_cl930_1290,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_1291,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1292,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20861,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl20832]) ).
thf(zip_derived_cl61_1293,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1294,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1295,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1296,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20924,plain,
( ( ( sum @ ( sum @ n27 @ n6 ) @ ( sum @ n4 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20861,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl217,plain,
( ( sum @ n4 @ n29 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26040,plain,
( ( ( sum @ ( sum @ n27 @ n6 ) @ n2 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20924,zip_derived_cl217]) ).
thf(zip_derived_cl28687,plain,
( ( ( sum @ ( sum @ n27 @ n6 ) @ n2 )
!= ( sum @ n25 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl26040]) ).
thf(zip_derived_cl907,plain,
( ( sum @ n27 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_1297,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl849_1298,plain,
( ( sum @ n25 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28711,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n5 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28687,zip_derived_cl907,zip_derived_cl128,zip_derived_cl849]) ).
thf('154',plain,
( ( sk__1 != n5 )
| ( sk_ != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28711]) ).
thf(zip_derived_cl928_1299,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_1300,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_1301,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1302,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20855,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_cl1544,zip_derived_cl20832]) ).
thf(zip_derived_cl55_1303,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1304,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1305,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1306,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20918,plain,
( ( ( sum @ ( sum @ n21 @ n6 ) @ ( sum @ n4 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20855,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl211_1307,plain,
( ( sum @ n4 @ n23 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26034,plain,
( ( ( sum @ ( sum @ n21 @ n6 ) @ n27 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20918,zip_derived_cl211]) ).
thf(zip_derived_cl26697,plain,
( ( ( sum @ ( sum @ n21 @ n6 ) @ n27 )
!= ( sum @ n13 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl26034]) ).
thf(zip_derived_cl721,plain,
( ( sum @ n21 @ n6 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26708,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26697,zip_derived_cl721,zip_derived_cl477]) ).
thf(zip_derived_cl28642,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n5 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26708]) ).
thf('155',plain,
( ( sk__1 != n5 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28642]) ).
thf(zip_derived_cl896_1308,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_1309,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_1310,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1311,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20854,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_cl1543,zip_derived_cl20832]) ).
thf(zip_derived_cl54_1312,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1313,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1314,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1315,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20917,plain,
( ( ( sum @ ( sum @ n20 @ n6 ) @ ( sum @ n4 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20854,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl210,plain,
( ( sum @ n4 @ n22 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26033,plain,
( ( ( sum @ ( sum @ n20 @ n6 ) @ n26 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20917,zip_derived_cl210]) ).
thf(zip_derived_cl26429,plain,
( ( ( sum @ ( sum @ n20 @ n6 ) @ n26 )
!= ( sum @ n11 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl26033]) ).
thf(zip_derived_cl690,plain,
( ( sum @ n20 @ n6 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26438,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26429,zip_derived_cl690,zip_derived_cl415]) ).
thf(zip_derived_cl28289,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n5 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26438]) ).
thf('156',plain,
( ( sk__1 != n5 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28289]) ).
thf(zip_derived_cl880_1316,plain,
( ( sum @ n26 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_1317,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1318,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20846,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_cl1535,zip_derived_cl20832]) ).
thf(zip_derived_cl46_1319,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1320,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1321,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1322,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20909,plain,
( ( ( sum @ ( sum @ n12 @ n6 ) @ ( sum @ n4 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20846,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl442,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_1323,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25863,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n26 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20909,zip_derived_cl442,zip_derived_cl202,zip_derived_cl450]) ).
thf(zip_derived_cl28198,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl880,zip_derived_cl25863]) ).
thf(zip_derived_cl640_1324,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28200,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n5 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28198,zip_derived_cl640]) ).
thf('157',plain,
( ( sk__1 != n5 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28200]) ).
thf(zip_derived_cl866_1325,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_1326,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1327,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20859,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n6 ) @ ( sum @ n4 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl20832]) ).
thf(zip_derived_cl59_1328,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1329,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1330,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1331,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20922,plain,
( ( ( sum @ ( sum @ n25 @ n6 ) @ ( sum @ n4 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20859,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl215_1332,plain,
( ( sum @ n4 @ n27 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26038,plain,
( ( ( sum @ ( sum @ n25 @ n6 ) @ n0 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20922,zip_derived_cl215]) ).
thf(zip_derived_cl27976,plain,
( ( ( sum @ ( sum @ n25 @ n6 ) @ n0 )
!= ( sum @ n21 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl26038]) ).
thf(zip_derived_cl845_1333,plain,
( ( sum @ n25 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1334,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725,plain,
( ( sum @ n21 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27994,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n5 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27976,zip_derived_cl845,zip_derived_cl64,zip_derived_cl725]) ).
thf('158',plain,
( ( sk__1 != n5 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27994]) ).
thf(zip_derived_cl864_1335,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_1336,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_1337,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1338,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20853,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_cl1542,zip_derived_cl20832]) ).
thf(zip_derived_cl53_1339,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1340,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1341,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1342,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20916,plain,
( ( ( sum @ ( sum @ n19 @ n6 ) @ ( sum @ n4 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20853,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl209_1343,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26032,plain,
( ( ( sum @ ( sum @ n19 @ n6 ) @ n25 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20916,zip_derived_cl209]) ).
thf(zip_derived_cl26160,plain,
( ( ( sum @ ( sum @ n19 @ n6 ) @ n25 )
!= ( sum @ n9 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl26032]) ).
thf(zip_derived_cl659,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26166,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26160,zip_derived_cl659,zip_derived_cl353]) ).
thf(zip_derived_cl27933,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n5 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26166]) ).
thf('159',plain,
( ( sk__1 != n5 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27933]) ).
thf(zip_derived_cl832_1344,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_1345,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1346,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20852,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_cl1541,zip_derived_cl20832]) ).
thf(zip_derived_cl52_1347,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1348,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1349,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1350,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20915,plain,
( ( ( sum @ ( sum @ n18 @ n6 ) @ ( sum @ n4 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20852,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl628,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_1351,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26031,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20915,zip_derived_cl628,zip_derived_cl208,zip_derived_cl642,zip_derived_cl291]) ).
thf(zip_derived_cl27597,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n5 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26031]) ).
thf('160',plain,
( ( sk__1 != n5 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27597]) ).
thf(zip_derived_cl818,plain,
( ( sum @ n24 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_1352,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1353,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20845,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_cl1534,zip_derived_cl20832]) ).
thf(zip_derived_cl45_1354,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1355,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1356,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1357,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20908,plain,
( ( ( sum @ ( sum @ n11 @ n6 ) @ ( sum @ n4 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20845,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl411,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_1358,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_1359,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25862,plain,
( ( n3
!= ( sum @ n24 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20908,zip_derived_cl411,zip_derived_cl201,zip_derived_cl608,zip_derived_cl418]) ).
thf(zip_derived_cl27494,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n5 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl818,zip_derived_cl25862]) ).
thf('161',plain,
( ( sk__1 != n5 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27494]) ).
thf(zip_derived_cl800_1360,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_1361,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1362,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20851,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_cl1540,zip_derived_cl20832]) ).
thf(zip_derived_cl51_1363,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1364,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1365,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1366,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20914,plain,
( ( ( sum @ ( sum @ n17 @ n6 ) @ ( sum @ n4 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20851,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl597,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_1367,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26030,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20914,zip_derived_cl597,zip_derived_cl207,zip_derived_cl610,zip_derived_cl229]) ).
thf(zip_derived_cl27265,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n5 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26030]) ).
thf('162',plain,
( ( sk__1 != n5 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27265]) ).
thf(zip_derived_cl768_1368,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_1369,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1370,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20850,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_cl1539,zip_derived_cl20832]) ).
thf(zip_derived_cl50_1371,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1372,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1373,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1374,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20913,plain,
( ( ( sum @ ( sum @ n16 @ n6 ) @ ( sum @ n4 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20850,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl566,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_1375,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25867,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20913,zip_derived_cl566,zip_derived_cl206,zip_derived_cl578,zip_derived_cl167]) ).
thf(zip_derived_cl26962,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n5 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl25867]) ).
thf('163',plain,
( ( sk__1 != n5 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26962]) ).
thf(zip_derived_cl756,plain,
( ( sum @ n22 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_1376,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1377,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20844,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_cl1533,zip_derived_cl20832]) ).
thf(zip_derived_cl44_1378,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1379,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1380,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1381,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20907,plain,
( ( ( sum @ ( sum @ n10 @ n6 ) @ ( sum @ n4 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20844,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl380,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_1382,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_1383,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25861,plain,
( ( n1
!= ( sum @ n22 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20907,zip_derived_cl380,zip_derived_cl200,zip_derived_cl576,zip_derived_cl386]) ).
thf(zip_derived_cl26882,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n5 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl756,zip_derived_cl25861]) ).
thf('164',plain,
( ( sk__1 != n5 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26882]) ).
thf(zip_derived_cl736_1384,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_1385,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1386,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20849,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_cl1538,zip_derived_cl20832]) ).
thf(zip_derived_cl49_1387,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1388,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1389,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1390,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20912,plain,
( ( ( sum @ ( sum @ n15 @ n6 ) @ ( sum @ n4 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20849,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl535,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_1391,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25866,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20912,zip_derived_cl535,zip_derived_cl205,zip_derived_cl546,zip_derived_cl105]) ).
thf(zip_derived_cl26669,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n5 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25866]) ).
thf('165',plain,
( ( sk__1 != n5 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26669]) ).
thf(zip_derived_cl694,plain,
( ( sum @ n20 @ n10 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_1392,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1393,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20843,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_cl1532,zip_derived_cl20832]) ).
thf(zip_derived_cl43_1394,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1395,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1396,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1397,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20906,plain,
( ( ( sum @ ( sum @ n9 @ n6 ) @ ( sum @ n4 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20843,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl349,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_1398,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_1399,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25860,plain,
( ( n30
!= ( sum @ n20 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20906,zip_derived_cl349,zip_derived_cl199,zip_derived_cl544,zip_derived_cl354]) ).
thf(zip_derived_cl26344,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n5 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl25860]) ).
thf('166',plain,
( ( sk__1 != n5 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26344]) ).
thf(zip_derived_cl1531_1400,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1401,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20842,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_cl1531,zip_derived_cl20832]) ).
thf(zip_derived_cl42_1402,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1403,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1404,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1405,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20905,plain,
( ( ( sum @ ( sum @ n8 @ n6 ) @ ( sum @ n4 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20842,zip_derived_cl42,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl318,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_1406,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_1407,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632,plain,
( ( sum @ n18 @ n10 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25858,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n5 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20905,zip_derived_cl318,zip_derived_cl198,zip_derived_cl512,zip_derived_cl322,zip_derived_cl632]) ).
thf('167',plain,
( ( sk__1 != n5 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25858]) ).
thf(zip_derived_cl1530_1408,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1409,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20841,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_cl1530,zip_derived_cl20832]) ).
thf(zip_derived_cl41_1410,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1411,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1412,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1413,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20904,plain,
( ( ( sum @ ( sum @ n7 @ n6 ) @ ( sum @ n4 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20841,zip_derived_cl41,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10]) ).
thf(zip_derived_cl287,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_1414,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_1415,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570,plain,
( ( sum @ n16 @ n10 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25856,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n5 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20904,zip_derived_cl287,zip_derived_cl197,zip_derived_cl480,zip_derived_cl290,zip_derived_cl570]) ).
thf('168',plain,
( ( sk__1 != n5 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25856]) ).
thf(zip_derived_cl1529_1416,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1417,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20840,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_cl1529,zip_derived_cl20832]) ).
thf(zip_derived_cl40_1418,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1419,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1420,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1421,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20903,plain,
( ( ( sum @ ( sum @ n6 @ n6 ) @ ( sum @ n4 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20840,zip_derived_cl40,zip_derived_cl9,zip_derived_cl40,zip_derived_cl9]) ).
thf(zip_derived_cl256_1422,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_1423,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_1424,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25854,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n5 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20903,zip_derived_cl256,zip_derived_cl196,zip_derived_cl448,zip_derived_cl258,zip_derived_cl508]) ).
thf('169',plain,
( ( sk__1 != n5 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25854]) ).
thf(zip_derived_cl1528_1425,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1426,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20839,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_cl1528,zip_derived_cl20832]) ).
thf(zip_derived_cl39_1427,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1428,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_1429,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1430,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20902,plain,
( ( ( sum @ ( sum @ n5 @ n6 ) @ ( sum @ n4 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20839,zip_derived_cl39,zip_derived_cl8,zip_derived_cl39,zip_derived_cl8]) ).
thf(zip_derived_cl225,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_1431,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_1432,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25852,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n5 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20902,zip_derived_cl225,zip_derived_cl195,zip_derived_cl416,zip_derived_cl226,zip_derived_cl446]) ).
thf('170',plain,
( ( sk__1 != n5 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25852]) ).
thf(zip_derived_cl1526_1433,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1434,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n6 ) @ ( sum @ n4 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n10 ) )
<= ( sk__1 = n5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20837,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_cl1526,zip_derived_cl20832]) ).
thf(zip_derived_cl37_1435,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1436,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1437,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1438,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1439,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20899,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ n8 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20837,zip_derived_cl37,zip_derived_cl163,zip_derived_cl6,zip_derived_cl193,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162]) ).
thf(zip_derived_cl352_1440,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_1441,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24365,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n5 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20899,zip_derived_cl352,zip_derived_cl322]) ).
thf('171',plain,
( ( sk__1 != n5 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24365]) ).
thf(zip_derived_cl1525_1442,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1443,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20836,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_cl1525,zip_derived_cl20832]) ).
thf(zip_derived_cl36_1444,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_1445,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1446,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_1447,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1448,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1449,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_1450,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20898,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ n6 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20836,zip_derived_cl36,zip_derived_cl132,zip_derived_cl5,zip_derived_cl192,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130]) ).
thf(zip_derived_cl320_1451,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24355,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n5 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20898,zip_derived_cl320,zip_derived_cl260]) ).
thf('172',plain,
( ( sk__1 != n5 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24355]) ).
thf(zip_derived_cl1524_1452,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1453,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20835,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_cl1524,zip_derived_cl20832]) ).
thf(zip_derived_cl35_1454,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1455,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1456,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1457,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_1458,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20897,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ n4 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20835,zip_derived_cl35,zip_derived_cl101,zip_derived_cl4,zip_derived_cl191,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98]) ).
thf(zip_derived_cl288_1459,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_1460,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24142,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n5 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20897,zip_derived_cl288,zip_derived_cl198]) ).
thf('173',plain,
( ( sk__1 != n5 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24142]) ).
thf(zip_derived_cl1004,plain,
( ( sum @ n30 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_1461,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1462,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20848,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_cl1537,zip_derived_cl20832]) ).
thf(zip_derived_cl48_1463,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1464,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1465,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1466,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20911,plain,
( ( ( sum @ ( sum @ n14 @ n6 ) @ ( sum @ n4 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20848,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl504,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_1467,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25865,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n30 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20911,zip_derived_cl504,zip_derived_cl204,zip_derived_cl514]) ).
thf(zip_derived_cl29773,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1004,zip_derived_cl25865]) ).
thf(zip_derived_cl704_1468,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29776,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n5 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29773,zip_derived_cl704]) ).
thf('174',plain,
( ( sk__1 != n5 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29776]) ).
thf(zip_derived_cl1024_1469,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_1470,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_1471,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20832_1472,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_cl194,zip_derived_cl8796]) ).
thf(zip_derived_cl20858,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_cl1547,zip_derived_cl20832]) ).
thf(zip_derived_cl58_1473,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1474,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1475,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1476,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20921,plain,
( ( ( sum @ ( sum @ n24 @ n6 ) @ ( sum @ n4 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20858,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl214,plain,
( ( sum @ n4 @ n26 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26037,plain,
( ( ( sum @ ( sum @ n24 @ n6 ) @ n30 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20921,zip_derived_cl214]) ).
thf(zip_derived_cl27637,plain,
( ( ( sum @ ( sum @ n24 @ n6 ) @ n30 )
!= ( sum @ n19 @ n10 ) )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl26037]) ).
thf(zip_derived_cl814,plain,
( ( sum @ n24 @ n6 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663,plain,
( ( sum @ n19 @ n10 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27653,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27637,zip_derived_cl814,zip_derived_cl663]) ).
thf(zip_derived_cl30000,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n5 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27653]) ).
thf('175',plain,
( ( sk__1 != n5 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30000]) ).
thf(zip_derived_cl1496_1477,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1527_1478,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_1479,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_cl2153,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_cl1527,zip_derived_cl0]) ).
thf(zip_derived_cl7_1480,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1481,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2160,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_cl2153,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl3219,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_cl1496,zip_derived_cl2160]) ).
thf(zip_derived_cl7_1482,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1483,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3284,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_cl3219,zip_derived_cl7,zip_derived_cl7]) ).
thf('176',plain,
( ( sk__1 != n5 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3284]) ).
thf(zip_derived_cl1551_1484,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_1485,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28776,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl28682]) ).
thf(zip_derived_cl62_1486,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1487,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1488,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1489,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28862,plain,
( ( ( sum @ ( sum @ n28 @ n29 ) @ ( sum @ n27 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28776,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl961,plain,
( ( sum @ n28 @ n29 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl931,plain,
( ( sum @ n27 @ n30 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl896_1490,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_1491,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl926,plain,
( ( sum @ n27 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30302,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n28 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28862,zip_derived_cl961,zip_derived_cl931,zip_derived_cl896,zip_derived_cl962,zip_derived_cl926]) ).
thf('177',plain,
( ( sk_ != n29 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30302]) ).
thf(zip_derived_cl1551_1492,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_1493,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27705,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl27632]) ).
thf(zip_derived_cl62_1494,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1495,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1496,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1497,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27784,plain,
( ( ( sum @ ( sum @ n28 @ n26 ) @ ( sum @ n24 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27705,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl958,plain,
( ( sum @ n28 @ n26 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl838,plain,
( ( sum @ n24 @ n30 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_1498,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_1499,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl920,plain,
( ( sum @ n27 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30267,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n25 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27784,zip_derived_cl958,zip_derived_cl838,zip_derived_cl800,zip_derived_cl962,zip_derived_cl920]) ).
thf('178',plain,
( ( sk_ != n29 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30267]) ).
thf(zip_derived_cl1551_1500,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_1501,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27359,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl27296]) ).
thf(zip_derived_cl62_1502,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1503,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1504,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1505,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27435,plain,
( ( ( sum @ ( sum @ n28 @ n25 ) @ ( sum @ n23 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27359,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl957,plain,
( ( sum @ n28 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl807_1506,plain,
( ( sum @ n23 @ n30 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_1507,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_1508,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl918,plain,
( ( sum @ n27 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30247,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n24 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27435,zip_derived_cl957,zip_derived_cl807,zip_derived_cl768,zip_derived_cl962,zip_derived_cl918]) ).
thf('179',plain,
( ( sk_ != n29 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30247]) ).
thf(zip_derived_cl1551_1509,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_1510,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27045,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl26989]) ).
thf(zip_derived_cl62_1511,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1512,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1513,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1514,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27119,plain,
( ( ( sum @ ( sum @ n28 @ n24 ) @ ( sum @ n22 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27045,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl956,plain,
( ( sum @ n28 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl776,plain,
( ( sum @ n22 @ n30 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_1515,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_1516,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl916,plain,
( ( sum @ n27 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30223,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n23 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27119,zip_derived_cl956,zip_derived_cl776,zip_derived_cl736,zip_derived_cl962,zip_derived_cl916]) ).
thf('180',plain,
( ( sk_ != n29 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30223]) ).
thf(zip_derived_cl1551_1517,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_1518,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26747,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl26692]) ).
thf(zip_derived_cl62_1519,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1520,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1521,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1522,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26818,plain,
( ( ( sum @ ( sum @ n28 @ n23 ) @ ( sum @ n21 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26747,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl955_1523,plain,
( ( sum @ n28 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745,plain,
( ( sum @ n21 @ n30 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_1524,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_1525,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl914,plain,
( ( sum @ n27 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30195,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n22 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26818,zip_derived_cl955,zip_derived_cl745,zip_derived_cl704,zip_derived_cl962,zip_derived_cl914]) ).
thf('181',plain,
( ( sk_ != n29 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30195]) ).
thf(zip_derived_cl1551_1526,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_1527,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29635,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl29595]) ).
thf(zip_derived_cl62_1528,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl933,plain,
( ( sum @ n28 @ n1 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1529,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1530,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1531,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_1532,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl901,plain,
( ( sum @ n27 @ n0 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29699,plain,
( ( ( sum @ n29 @ ( sum @ n30 @ n30 ) )
!= n27 )
<= ( ( sk__1 = n0 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29635,zip_derived_cl62,zip_derived_cl933,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31,zip_derived_cl962,zip_derived_cl901]) ).
thf(zip_derived_cl1024_1533,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl992_1534,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30105,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n0 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29699,zip_derived_cl1024,zip_derived_cl992]) ).
thf('182',plain,
( ( sk_ != n29 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30105]) ).
thf(zip_derived_cl1024_1535,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_1536,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1537,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_1538,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18392,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl18362]) ).
thf(zip_derived_cl62_1539,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1540,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1541,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1542,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18455,plain,
( ( ( sum @ ( sum @ n28 @ n2 ) @ ( sum @ n0 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18392,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl94_1543,plain,
( ( sum @ n0 @ n30 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25318,plain,
( ( ( sum @ ( sum @ n28 @ n2 ) @ n30 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18455,zip_derived_cl94]) ).
thf(zip_derived_cl29057,plain,
( ( ( sum @ ( sum @ n28 @ n2 ) @ n30 )
!= ( sum @ n27 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl25318]) ).
thf(zip_derived_cl934_1544,plain,
( ( sum @ n28 @ n2 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl903_1545,plain,
( ( sum @ n27 @ n2 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29078,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n1 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29057,zip_derived_cl934,zip_derived_cl903]) ).
thf(zip_derived_cl30008,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n1 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl29078]) ).
thf('183',plain,
( ( sk_ != n29 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30008]) ).
thf(zip_derived_cl1551_1546,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_1547,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29327,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl29297]) ).
thf(zip_derived_cl62_1548,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl932,plain,
( ( sum @ n28 @ n0 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1549,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1550,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1551,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_1552,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_1553,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29389,plain,
( ( ( sum @ n28 @ ( sum @ n29 @ n30 ) )
!= n25 )
<= ( ( sk__1 = n30 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29327,zip_derived_cl62,zip_derived_cl932,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31,zip_derived_cl962,zip_derived_cl930]) ).
thf(zip_derived_cl993,plain,
( ( sum @ n29 @ n30 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl960_1554,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29862,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n30 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29389,zip_derived_cl993,zip_derived_cl960]) ).
thf('184',plain,
( ( sk_ != n29 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29862]) ).
thf(zip_derived_cl962_1555,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1556,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_1557,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26472,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl26424]) ).
thf(zip_derived_cl62_1558,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1559,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1560,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1561,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26541,plain,
( ( ( sum @ ( sum @ n28 @ n22 ) @ ( sum @ n20 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26472,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl954,plain,
( ( sum @ n28 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714_1562,plain,
( ( sum @ n20 @ n30 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_1563,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28979,plain,
( ( n7
!= ( sum @ ( sum @ n28 @ n30 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26541,zip_derived_cl954,zip_derived_cl714,zip_derived_cl672]) ).
thf(zip_derived_cl29077,plain,
( ( n7
!= ( sum @ n27 @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl28979]) ).
thf(zip_derived_cl912_1564,plain,
( ( sum @ n27 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29117,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n21 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29077,zip_derived_cl912]) ).
thf('185',plain,
( ( sk_ != n29 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29117]) ).
thf(zip_derived_cl962_1565,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1566,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_1567,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26197,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl26155]) ).
thf(zip_derived_cl62_1568,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1569,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1570,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1571,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26264,plain,
( ( ( sum @ ( sum @ n28 @ n21 ) @ ( sum @ n19 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26197,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl683,plain,
( ( sum @ n19 @ n30 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28599,plain,
( ( ( sum @ ( sum @ n28 @ n21 ) @ n18 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26264,zip_derived_cl683]) ).
thf(zip_derived_cl29076,plain,
( ( ( sum @ ( sum @ n28 @ n21 ) @ n18 )
!= ( sum @ n27 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl28599]) ).
thf(zip_derived_cl953_1572,plain,
( ( sum @ n28 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_1573,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl910,plain,
( ( sum @ n27 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29115,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n20 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29076,zip_derived_cl953,zip_derived_cl640,zip_derived_cl910]) ).
thf('186',plain,
( ( sk_ != n29 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29115]) ).
thf(zip_derived_cl962_1574,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1575,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_1576,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25927,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl25889]) ).
thf(zip_derived_cl62_1577,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1578,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1579,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1580,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25993,plain,
( ( ( sum @ ( sum @ n28 @ n20 ) @ ( sum @ n18 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25927,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl652,plain,
( ( sum @ n18 @ n30 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28565,plain,
( ( ( sum @ ( sum @ n28 @ n20 ) @ n17 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25993,zip_derived_cl652]) ).
thf(zip_derived_cl29075,plain,
( ( ( sum @ ( sum @ n28 @ n20 ) @ n17 )
!= ( sum @ n27 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl28565]) ).
thf(zip_derived_cl952,plain,
( ( sum @ n28 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_1581,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl908,plain,
( ( sum @ n27 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29113,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n19 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29075,zip_derived_cl952,zip_derived_cl608,zip_derived_cl908]) ).
thf('187',plain,
( ( sk_ != n29 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29113]) ).
thf(zip_derived_cl962_1582,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1583,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_1584,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25657,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl25619]) ).
thf(zip_derived_cl62_1585,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1586,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1587,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1588,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25722,plain,
( ( ( sum @ ( sum @ n28 @ n19 ) @ ( sum @ n17 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25657,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl621_1589,plain,
( ( sum @ n17 @ n30 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28254,plain,
( ( ( sum @ ( sum @ n28 @ n19 ) @ n16 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25722,zip_derived_cl621]) ).
thf(zip_derived_cl29074,plain,
( ( ( sum @ ( sum @ n28 @ n19 ) @ n16 )
!= ( sum @ n27 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl28254]) ).
thf(zip_derived_cl951,plain,
( ( sum @ n28 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_1590,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl906,plain,
( ( sum @ n27 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29111,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n18 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29074,zip_derived_cl951,zip_derived_cl576,zip_derived_cl906]) ).
thf('188',plain,
( ( sk_ != n29 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29111]) ).
thf(zip_derived_cl962_1591,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1592,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_1593,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25387,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl25355]) ).
thf(zip_derived_cl62_1594,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1595,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1596,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1597,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25451,plain,
( ( ( sum @ ( sum @ n28 @ n18 ) @ ( sum @ n16 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25387,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl590,plain,
( ( sum @ n16 @ n30 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27907,plain,
( ( ( sum @ ( sum @ n28 @ n18 ) @ n15 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25451,zip_derived_cl590]) ).
thf(zip_derived_cl29073,plain,
( ( ( sum @ ( sum @ n28 @ n18 ) @ n15 )
!= ( sum @ n27 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl27907]) ).
thf(zip_derived_cl950,plain,
( ( sum @ n28 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_1598,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl904,plain,
( ( sum @ n27 @ n3 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29109,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n17 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29073,zip_derived_cl950,zip_derived_cl544,zip_derived_cl904]) ).
thf('189',plain,
( ( sk_ != n29 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29109]) ).
thf(zip_derived_cl962_1599,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1600,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_1601,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25187,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl25157]) ).
thf(zip_derived_cl62_1602,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1603,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1604,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1605,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25250,plain,
( ( ( sum @ ( sum @ n28 @ n17 ) @ ( sum @ n15 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25187,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl559,plain,
( ( sum @ n15 @ n30 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27865,plain,
( ( ( sum @ ( sum @ n28 @ n17 ) @ n14 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25250,zip_derived_cl559]) ).
thf(zip_derived_cl29072,plain,
( ( ( sum @ ( sum @ n28 @ n17 ) @ n14 )
!= ( sum @ n27 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl27865]) ).
thf(zip_derived_cl949,plain,
( ( sum @ n28 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_1606,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl902,plain,
( ( sum @ n27 @ n1 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29107,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n16 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29072,zip_derived_cl949,zip_derived_cl512,zip_derived_cl902]) ).
thf('190',plain,
( ( sk_ != n29 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29107]) ).
thf(zip_derived_cl962_1607,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1608,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_1609,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24968,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl24936]) ).
thf(zip_derived_cl62_1610,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1611,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1612,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1613,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25031,plain,
( ( ( sum @ ( sum @ n28 @ n16 ) @ ( sum @ n14 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24968,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl528,plain,
( ( sum @ n14 @ n30 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27575,plain,
( ( ( sum @ ( sum @ n28 @ n16 ) @ n13 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25031,zip_derived_cl528]) ).
thf(zip_derived_cl29071,plain,
( ( ( sum @ ( sum @ n28 @ n16 ) @ n13 )
!= ( sum @ n27 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl27575]) ).
thf(zip_derived_cl948,plain,
( ( sum @ n28 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_1614,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl931_1615,plain,
( ( sum @ n27 @ n30 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29105,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n15 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29071,zip_derived_cl948,zip_derived_cl480,zip_derived_cl931]) ).
thf('191',plain,
( ( sk_ != n29 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29105]) ).
thf(zip_derived_cl962_1616,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1617,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_1618,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24705,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl24673]) ).
thf(zip_derived_cl62_1619,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1620,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1621,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1622,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24768,plain,
( ( ( sum @ ( sum @ n28 @ n15 ) @ ( sum @ n13 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24705,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl497,plain,
( ( sum @ n13 @ n30 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27513,plain,
( ( ( sum @ ( sum @ n28 @ n15 ) @ n12 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24768,zip_derived_cl497]) ).
thf(zip_derived_cl29070,plain,
( ( ( sum @ ( sum @ n28 @ n15 ) @ n12 )
!= ( sum @ n27 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl27513]) ).
thf(zip_derived_cl947,plain,
( ( sum @ n28 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_1623,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl929_1624,plain,
( ( sum @ n27 @ n28 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29103,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n14 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29070,zip_derived_cl947,zip_derived_cl448,zip_derived_cl929]) ).
thf('192',plain,
( ( sk_ != n29 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29103]) ).
thf(zip_derived_cl962_1625,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1626,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_1627,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24439,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl24407]) ).
thf(zip_derived_cl62_1628,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1629,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1630,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1631,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24502,plain,
( ( ( sum @ ( sum @ n28 @ n14 ) @ ( sum @ n12 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24439,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl466,plain,
( ( sum @ n12 @ n30 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27217,plain,
( ( ( sum @ ( sum @ n28 @ n14 ) @ n11 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24502,zip_derived_cl466]) ).
thf(zip_derived_cl29069,plain,
( ( ( sum @ ( sum @ n28 @ n14 ) @ n11 )
!= ( sum @ n27 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl27217]) ).
thf(zip_derived_cl946,plain,
( ( sum @ n28 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_1632,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl927,plain,
( ( sum @ n27 @ n26 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29101,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n13 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29069,zip_derived_cl946,zip_derived_cl416,zip_derived_cl927]) ).
thf('193',plain,
( ( sk_ != n29 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29101]) ).
thf(zip_derived_cl962_1633,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1634,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_1635,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24173,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl24141]) ).
thf(zip_derived_cl62_1636,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1637,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1638,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1639,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24236,plain,
( ( ( sum @ ( sum @ n28 @ n13 ) @ ( sum @ n11 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24173,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl435,plain,
( ( sum @ n11 @ n30 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27173,plain,
( ( ( sum @ ( sum @ n28 @ n13 ) @ n10 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24236,zip_derived_cl435]) ).
thf(zip_derived_cl29068,plain,
( ( ( sum @ ( sum @ n28 @ n13 ) @ n10 )
!= ( sum @ n27 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl27173]) ).
thf(zip_derived_cl945,plain,
( ( sum @ n28 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_1640,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl925,plain,
( ( sum @ n27 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29099,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n12 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29068,zip_derived_cl945,zip_derived_cl384,zip_derived_cl925]) ).
thf('194',plain,
( ( sk_ != n29 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29099]) ).
thf(zip_derived_cl962_1641,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1642,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_1643,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23903,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl23871]) ).
thf(zip_derived_cl62_1644,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1645,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1646,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1647,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23966,plain,
( ( ( sum @ ( sum @ n28 @ n12 ) @ ( sum @ n10 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23903,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl404,plain,
( ( sum @ n10 @ n30 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26913,plain,
( ( ( sum @ ( sum @ n28 @ n12 ) @ n9 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23966,zip_derived_cl404]) ).
thf(zip_derived_cl29067,plain,
( ( ( sum @ ( sum @ n28 @ n12 ) @ n9 )
!= ( sum @ n27 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl26913]) ).
thf(zip_derived_cl944,plain,
( ( sum @ n28 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_1648,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl923,plain,
( ( sum @ n27 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29097,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n11 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29067,zip_derived_cl944,zip_derived_cl352,zip_derived_cl923]) ).
thf('195',plain,
( ( sk_ != n29 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29097]) ).
thf(zip_derived_cl962_1649,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1650,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_1651,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23640,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl23610]) ).
thf(zip_derived_cl62_1652,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1653,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1654,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1655,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23703,plain,
( ( ( sum @ ( sum @ n28 @ n11 ) @ ( sum @ n9 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23640,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl373_1656,plain,
( ( sum @ n9 @ n30 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26650,plain,
( ( ( sum @ ( sum @ n28 @ n11 ) @ n8 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23703,zip_derived_cl373]) ).
thf(zip_derived_cl29066,plain,
( ( ( sum @ ( sum @ n28 @ n11 ) @ n8 )
!= ( sum @ n27 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl26650]) ).
thf(zip_derived_cl943_1657,plain,
( ( sum @ n28 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_1658,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl921,plain,
( ( sum @ n27 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29095,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n10 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29066,zip_derived_cl943,zip_derived_cl320,zip_derived_cl921]) ).
thf('196',plain,
( ( sk_ != n29 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29095]) ).
thf(zip_derived_cl962_1659,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1660,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_1661,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23377,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl23345]) ).
thf(zip_derived_cl62_1662,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1663,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1664,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1665,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23440,plain,
( ( ( sum @ ( sum @ n28 @ n10 ) @ ( sum @ n8 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23377,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl342,plain,
( ( sum @ n8 @ n30 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26609,plain,
( ( ( sum @ ( sum @ n28 @ n10 ) @ n7 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23440,zip_derived_cl342]) ).
thf(zip_derived_cl29065,plain,
( ( ( sum @ ( sum @ n28 @ n10 ) @ n7 )
!= ( sum @ n27 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl26609]) ).
thf(zip_derived_cl942_1666,plain,
( ( sum @ n28 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_1667,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl919,plain,
( ( sum @ n27 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29093,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n9 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29065,zip_derived_cl942,zip_derived_cl288,zip_derived_cl919]) ).
thf('197',plain,
( ( sk_ != n29 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29093]) ).
thf(zip_derived_cl962_1668,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1669,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_1670,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22892,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl22862]) ).
thf(zip_derived_cl62_1671,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1672,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1673,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1674,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22955,plain,
( ( ( sum @ ( sum @ n28 @ n9 ) @ ( sum @ n7 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22892,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl311,plain,
( ( sum @ n7 @ n30 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26380,plain,
( ( ( sum @ ( sum @ n28 @ n9 ) @ n6 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22955,zip_derived_cl311]) ).
thf(zip_derived_cl29064,plain,
( ( ( sum @ ( sum @ n28 @ n9 ) @ n6 )
!= ( sum @ n27 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl26380]) ).
thf(zip_derived_cl941,plain,
( ( sum @ n28 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_1675,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl917,plain,
( ( sum @ n27 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29091,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n8 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29064,zip_derived_cl941,zip_derived_cl256,zip_derived_cl917]) ).
thf('198',plain,
( ( sk_ != n29 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29091]) ).
thf(zip_derived_cl962_1676,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1677,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_1678,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22263,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl22233]) ).
thf(zip_derived_cl62_1679,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1680,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1681,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1682,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22326,plain,
( ( ( sum @ ( sum @ n28 @ n8 ) @ ( sum @ n6 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22263,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl280,plain,
( ( sum @ n6 @ n30 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26324,plain,
( ( ( sum @ ( sum @ n28 @ n8 ) @ n5 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22326,zip_derived_cl280]) ).
thf(zip_derived_cl29063,plain,
( ( ( sum @ ( sum @ n28 @ n8 ) @ n5 )
!= ( sum @ n27 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl26324]) ).
thf(zip_derived_cl940,plain,
( ( sum @ n28 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_1683,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl915,plain,
( ( sum @ n27 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29089,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n7 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29063,zip_derived_cl940,zip_derived_cl224,zip_derived_cl915]) ).
thf('199',plain,
( ( sk_ != n29 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29089]) ).
thf(zip_derived_cl962_1684,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1685,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1686,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21537,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl21507]) ).
thf(zip_derived_cl62_1687,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1688,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1689,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1690,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21600,plain,
( ( ( sum @ ( sum @ n28 @ n7 ) @ ( sum @ n5 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21537,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl249,plain,
( ( sum @ n5 @ n30 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26095,plain,
( ( ( sum @ ( sum @ n28 @ n7 ) @ n4 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21600,zip_derived_cl249]) ).
thf(zip_derived_cl29062,plain,
( ( ( sum @ ( sum @ n28 @ n7 ) @ n4 )
!= ( sum @ n27 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl26095]) ).
thf(zip_derived_cl939,plain,
( ( sum @ n28 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_1691,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl913,plain,
( ( sum @ n27 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29087,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n6 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29062,zip_derived_cl939,zip_derived_cl192,zip_derived_cl913]) ).
thf('200',plain,
( ( sk_ != n29 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29087]) ).
thf(zip_derived_cl962_1692,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1693,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_1694,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20208,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl20178]) ).
thf(zip_derived_cl62_1695,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1696,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1697,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1698,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20271,plain,
( ( ( sum @ ( sum @ n28 @ n5 ) @ ( sum @ n3 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20208,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl187,plain,
( ( sum @ n3 @ n30 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25821,plain,
( ( ( sum @ ( sum @ n28 @ n5 ) @ n2 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20271,zip_derived_cl187]) ).
thf(zip_derived_cl29060,plain,
( ( ( sum @ ( sum @ n28 @ n5 ) @ n2 )
!= ( sum @ n27 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl25821]) ).
thf(zip_derived_cl937,plain,
( ( sum @ n28 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_1699,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl909,plain,
( ( sum @ n27 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29083,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n4 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29060,zip_derived_cl937,zip_derived_cl128,zip_derived_cl909]) ).
thf('201',plain,
( ( sk_ != n29 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29083]) ).
thf(zip_derived_cl962_1700,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1701,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_1702,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19459,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl19429]) ).
thf(zip_derived_cl62_1703,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1704,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1705,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1706,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19522,plain,
( ( ( sum @ ( sum @ n28 @ n4 ) @ ( sum @ n2 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19459,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl156_1707,plain,
( ( sum @ n2 @ n30 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25595,plain,
( ( ( sum @ ( sum @ n28 @ n4 ) @ n1 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19522,zip_derived_cl156]) ).
thf(zip_derived_cl29059,plain,
( ( ( sum @ ( sum @ n28 @ n4 ) @ n1 )
!= ( sum @ n27 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl25595]) ).
thf(zip_derived_cl936,plain,
( ( sum @ n28 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_1708,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl907_1709,plain,
( ( sum @ n27 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29081,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n3 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29059,zip_derived_cl936,zip_derived_cl96,zip_derived_cl907]) ).
thf('202',plain,
( ( sk_ != n29 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29081]) ).
thf(zip_derived_cl962_1710,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1711,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_1712,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18801,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl18771]) ).
thf(zip_derived_cl62_1713,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1714,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1715,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1716,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18864,plain,
( ( ( sum @ ( sum @ n28 @ n3 ) @ ( sum @ n1 @ n30 ) )
!= ( sum @ ( sum @ n28 @ n30 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18801,zip_derived_cl62,zip_derived_cl31,zip_derived_cl62,zip_derived_cl31]) ).
thf(zip_derived_cl125,plain,
( ( sum @ n1 @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25531,plain,
( ( ( sum @ ( sum @ n28 @ n3 ) @ n0 )
!= ( sum @ ( sum @ n28 @ n30 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18864,zip_derived_cl125]) ).
thf(zip_derived_cl29058,plain,
( ( ( sum @ ( sum @ n28 @ n3 ) @ n0 )
!= ( sum @ n27 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl25531]) ).
thf(zip_derived_cl935,plain,
( ( sum @ n28 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1717,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl905,plain,
( ( sum @ n27 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29079,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n2 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29058,zip_derived_cl935,zip_derived_cl64,zip_derived_cl905]) ).
thf('203',plain,
( ( sk_ != n29 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29079]) ).
thf(zip_derived_cl1551_1718,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl8268_1719,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ ( pred @ n29 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n29 ) @ n30 ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2051,zip_derived_cl31,zip_derived_cl31]) ).
thf(zip_derived_cl8298,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n30 ) @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ ( succ @ n29 ) ) @ ( sum @ ( pred @ n29 ) @ n30 ) ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl8268]) ).
thf(zip_derived_cl31_1720,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl31_1721,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8360,plain,
( ( ( sum @ ( sum @ ( pred @ n29 ) @ n30 ) @ ( sum @ ( pred @ n29 ) @ n30 ) )
!= ( sum @ ( sum @ ( pred @ n29 ) @ n30 ) @ ( sum @ ( pred @ n29 ) @ n30 ) ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8298,zip_derived_cl31,zip_derived_cl31]) ).
thf('204',plain,
( ( sk_ != n29 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8360]) ).
thf(zip_derived_cl1024_1722,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_1723,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_1724,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1725,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21532,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_cl1546,zip_derived_cl21507]) ).
thf(zip_derived_cl57_1726,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1727,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1728,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_1729,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21595,plain,
( ( ( sum @ ( sum @ n23 @ n7 ) @ ( sum @ n5 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21532,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl244,plain,
( ( sum @ n5 @ n25 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26090,plain,
( ( ( sum @ ( sum @ n23 @ n7 ) @ n30 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21595,zip_derived_cl244]) ).
thf(zip_derived_cl27302,plain,
( ( ( sum @ ( sum @ n23 @ n7 ) @ n30 )
!= ( sum @ n17 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl26090]) ).
thf(zip_derived_cl784_1730,plain,
( ( sum @ n23 @ n7 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603,plain,
( ( sum @ n17 @ n12 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27315,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27302,zip_derived_cl784,zip_derived_cl603]) ).
thf(zip_derived_cl29998,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n6 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27315]) ).
thf('205',plain,
( ( sk_ != n24 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29998]) ).
thf(zip_derived_cl1006,plain,
( ( sum @ n30 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_1731,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1732,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21523,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_cl1537,zip_derived_cl21507]) ).
thf(zip_derived_cl48_1733,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1734,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_1735,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_1736,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21586,plain,
( ( ( sum @ ( sum @ n14 @ n7 ) @ ( sum @ n5 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21523,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl505,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_1737,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26081,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n30 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21586,zip_derived_cl505,zip_derived_cl235,zip_derived_cl514]) ).
thf(zip_derived_cl29794,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1006,zip_derived_cl26081]) ).
thf(zip_derived_cl736_1738,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29797,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n6 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29794,zip_derived_cl736]) ).
thf('206',plain,
( ( sk__1 != n6 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29797]) ).
thf(zip_derived_cl1001,plain,
( ( sum @ n30 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_1739,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1740,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21508,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_cl1522,zip_derived_cl21507]) ).
thf(zip_derived_cl33_1741,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1742,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_1743,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_1744,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_1745,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21570,plain,
( ( ( sum @ ( sum @ n30 @ n7 ) @ n6 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21508,zip_derived_cl33,zip_derived_cl2,zip_derived_cl220,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29756,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1001,zip_derived_cl21570]) ).
thf(zip_derived_cl256_1746,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_1747,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1748,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29758,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n6 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29756,zip_derived_cl256,zip_derived_cl995,zip_derived_cl76]) ).
thf('207',plain,
( ( sk_ != n0 )
| ( sk__1 != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29758]) ).
thf(zip_derived_cl992_1749,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_1750,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_1751,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1752,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21531,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_cl1545,zip_derived_cl21507]) ).
thf(zip_derived_cl56_1753,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_1754,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1755,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_1756,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21594,plain,
( ( ( sum @ ( sum @ n22 @ n7 ) @ ( sum @ n5 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21531,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl243,plain,
( ( sum @ n5 @ n24 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26089,plain,
( ( ( sum @ ( sum @ n22 @ n7 ) @ n29 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21594,zip_derived_cl243]) ).
thf(zip_derived_cl26995,plain,
( ( ( sum @ ( sum @ n22 @ n7 ) @ n29 )
!= ( sum @ n15 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl26089]) ).
thf(zip_derived_cl753,plain,
( ( sum @ n22 @ n7 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl541,plain,
( ( sum @ n15 @ n12 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27006,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26995,zip_derived_cl753,zip_derived_cl541]) ).
thf(zip_derived_cl29545,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n6 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl27006]) ).
thf('208',plain,
( ( sk__1 != n6 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29545]) ).
thf(zip_derived_cl970,plain,
( ( sum @ n29 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_1757,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1758,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21538,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl21507]) ).
thf(zip_derived_cl63_1759,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1760,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1761,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_1762,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21601,plain,
( ( ( sum @ ( sum @ n29 @ n7 ) @ n5 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21538,zip_derived_cl63,zip_derived_cl32,zip_derived_cl219,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29435,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl970,zip_derived_cl21601]) ).
thf(zip_derived_cl224_1763,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_1764,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29436,plain,
( ( n10
!= ( sum @ n29 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29435,zip_derived_cl224,zip_derived_cl963]) ).
thf(zip_derived_cl975,plain,
( ( sum @ n29 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29484,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n6 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29436,zip_derived_cl975]) ).
thf('209',plain,
( ( sk__1 != n6 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29484]) ).
thf(zip_derived_cl960_1765,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_1766,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_1767,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1768,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21530,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_cl1544,zip_derived_cl21507]) ).
thf(zip_derived_cl55_1769,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1770,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1771,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_1772,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21593,plain,
( ( ( sum @ ( sum @ n21 @ n7 ) @ ( sum @ n5 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21530,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl242_1773,plain,
( ( sum @ n5 @ n23 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26088,plain,
( ( ( sum @ ( sum @ n21 @ n7 ) @ n28 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21593,zip_derived_cl242]) ).
thf(zip_derived_cl26698,plain,
( ( ( sum @ ( sum @ n21 @ n7 ) @ n28 )
!= ( sum @ n13 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl26088]) ).
thf(zip_derived_cl722,plain,
( ( sum @ n21 @ n7 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26709,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26698,zip_derived_cl722,zip_derived_cl479]) ).
thf(zip_derived_cl29013,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n6 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26709]) ).
thf('210',plain,
( ( sk__1 != n6 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29013]) ).
thf(zip_derived_cl944_1774,plain,
( ( sum @ n28 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_1775,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1776,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21522,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_cl1536,zip_derived_cl21507]) ).
thf(zip_derived_cl47_1777,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1778,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_1779,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_1780,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21585,plain,
( ( ( sum @ ( sum @ n13 @ n7 ) @ ( sum @ n5 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21522,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl474,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_1781,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26080,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n28 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21585,zip_derived_cl474,zip_derived_cl234,zip_derived_cl482]) ).
thf(zip_derived_cl28944,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl944,zip_derived_cl26080]) ).
thf(zip_derived_cl704_1782,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28945,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n6 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28944,zip_derived_cl704]) ).
thf('211',plain,
( ( sk__1 != n6 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28945]) ).
thf(zip_derived_cl930_1783,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_1784,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1785,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21536,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl21507]) ).
thf(zip_derived_cl61_1786,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1787,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1788,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1789,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21599,plain,
( ( ( sum @ ( sum @ n27 @ n7 ) @ ( sum @ n5 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21536,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl248,plain,
( ( sum @ n5 @ n29 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26094,plain,
( ( ( sum @ ( sum @ n27 @ n7 ) @ n3 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21599,zip_derived_cl248]) ).
thf(zip_derived_cl28688,plain,
( ( ( sum @ ( sum @ n27 @ n7 ) @ n3 )
!= ( sum @ n25 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl26094]) ).
thf(zip_derived_cl908_1790,plain,
( ( sum @ n27 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1791,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl851_1792,plain,
( ( sum @ n25 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28713,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n6 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28688,zip_derived_cl908,zip_derived_cl160,zip_derived_cl851]) ).
thf('212',plain,
( ( sk__1 != n6 )
| ( sk_ != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28713]) ).
thf(zip_derived_cl928_1793,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_1794,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_1795,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1796,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21529,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_cl1543,zip_derived_cl21507]) ).
thf(zip_derived_cl54_1797,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1798,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1799,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_1800,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21592,plain,
( ( ( sum @ ( sum @ n20 @ n7 ) @ ( sum @ n5 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21529,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl241,plain,
( ( sum @ n5 @ n22 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26087,plain,
( ( ( sum @ ( sum @ n20 @ n7 ) @ n27 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21592,zip_derived_cl241]) ).
thf(zip_derived_cl26430,plain,
( ( ( sum @ ( sum @ n20 @ n7 ) @ n27 )
!= ( sum @ n11 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl26087]) ).
thf(zip_derived_cl691,plain,
( ( sum @ n20 @ n7 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26439,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26430,zip_derived_cl691,zip_derived_cl417]) ).
thf(zip_derived_cl28638,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n6 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26439]) ).
thf('213',plain,
( ( sk__1 != n6 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28638]) ).
thf(zip_derived_cl896_1801,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_1802,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_1803,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1804,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21528,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_cl1542,zip_derived_cl21507]) ).
thf(zip_derived_cl53_1805,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1806,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1807,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_1808,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21591,plain,
( ( ( sum @ ( sum @ n19 @ n7 ) @ ( sum @ n5 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21528,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl660,plain,
( ( sum @ n19 @ n7 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_1809,plain,
( ( sum @ n5 @ n21 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26086,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21591,zip_derived_cl660,zip_derived_cl240]) ).
thf(zip_derived_cl26161,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ n9 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl26086]) ).
thf(zip_derived_cl355,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26167,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26161,zip_derived_cl355]) ).
thf(zip_derived_cl28285,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n6 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26167]) ).
thf('214',plain,
( ( sk__1 != n6 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28285]) ).
thf(zip_derived_cl882_1810,plain,
( ( sum @ n26 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_1811,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1812,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21521,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_cl1535,zip_derived_cl21507]) ).
thf(zip_derived_cl46_1813,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1814,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_1815,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_1816,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21584,plain,
( ( ( sum @ ( sum @ n12 @ n7 ) @ ( sum @ n5 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21521,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl443,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_1817,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26079,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n26 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21584,zip_derived_cl443,zip_derived_cl233,zip_derived_cl450]) ).
thf(zip_derived_cl28205,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl882,zip_derived_cl26079]) ).
thf(zip_derived_cl672_1818,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28206,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n6 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28205,zip_derived_cl672]) ).
thf('215',plain,
( ( sk__1 != n6 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28206]) ).
thf(zip_derived_cl866_1819,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_1820,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1821,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21534,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n7 ) @ ( sum @ n5 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl21507]) ).
thf(zip_derived_cl59_1822,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1823,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1824,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_1825,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21597,plain,
( ( ( sum @ ( sum @ n25 @ n7 ) @ ( sum @ n5 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21534,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl246_1826,plain,
( ( sum @ n5 @ n27 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26092,plain,
( ( ( sum @ ( sum @ n25 @ n7 ) @ n1 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21597,zip_derived_cl246]) ).
thf(zip_derived_cl27977,plain,
( ( ( sum @ ( sum @ n25 @ n7 ) @ n1 )
!= ( sum @ n21 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl26092]) ).
thf(zip_derived_cl846_1827,plain,
( ( sum @ n25 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_1828,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727,plain,
( ( sum @ n21 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27996,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n6 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27977,zip_derived_cl846,zip_derived_cl96,zip_derived_cl727]) ).
thf('216',plain,
( ( sk__1 != n6 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27996]) ).
thf(zip_derived_cl864_1829,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_1830,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1831,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21527,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_cl1541,zip_derived_cl21507]) ).
thf(zip_derived_cl52_1832,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1833,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_1834,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_1835,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21590,plain,
( ( ( sum @ ( sum @ n18 @ n7 ) @ ( sum @ n5 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21527,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl629,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_1836,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26085,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21590,zip_derived_cl629,zip_derived_cl239,zip_derived_cl642,zip_derived_cl293]) ).
thf(zip_derived_cl27932,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n6 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26085]) ).
thf('217',plain,
( ( sk__1 != n6 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27932]) ).
thf(zip_derived_cl834_1837,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_1838,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1839,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21533,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_cl1547,zip_derived_cl21507]) ).
thf(zip_derived_cl58_1840,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1841,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1842,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_1843,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21596,plain,
( ( ( sum @ ( sum @ n24 @ n7 ) @ ( sum @ n5 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21533,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl245,plain,
( ( sum @ n5 @ n26 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26091,plain,
( ( ( sum @ ( sum @ n24 @ n7 ) @ n0 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21596,zip_derived_cl245]) ).
thf(zip_derived_cl27638,plain,
( ( ( sum @ ( sum @ n24 @ n7 ) @ n0 )
!= ( sum @ n19 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl26091]) ).
thf(zip_derived_cl815,plain,
( ( sum @ n24 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1844,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665,plain,
( ( sum @ n19 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27654,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n6 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27638,zip_derived_cl815,zip_derived_cl64,zip_derived_cl665]) ).
thf('218',plain,
( ( sk__1 != n6 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27654]) ).
thf(zip_derived_cl832_1845,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_1846,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1847,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21526,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_cl1540,zip_derived_cl21507]) ).
thf(zip_derived_cl51_1848,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1849,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_1850,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_1851,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21589,plain,
( ( ( sum @ ( sum @ n17 @ n7 ) @ ( sum @ n5 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21526,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl598,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_1852,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26084,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21589,zip_derived_cl598,zip_derived_cl238,zip_derived_cl610,zip_derived_cl231]) ).
thf(zip_derived_cl27598,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n6 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26084]) ).
thf('219',plain,
( ( sk__1 != n6 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27598]) ).
thf(zip_derived_cl820,plain,
( ( sum @ n24 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_1853,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1854,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21520,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_cl1534,zip_derived_cl21507]) ).
thf(zip_derived_cl45_1855,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1856,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_1857,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_1858,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21583,plain,
( ( ( sum @ ( sum @ n11 @ n7 ) @ ( sum @ n5 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21520,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl412,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_1859,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_1860,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26078,plain,
( ( n5
!= ( sum @ n24 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21583,zip_derived_cl412,zip_derived_cl232,zip_derived_cl640,zip_derived_cl418]) ).
thf(zip_derived_cl27498,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n6 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl820,zip_derived_cl26078]) ).
thf('220',plain,
( ( sk__1 != n6 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27498]) ).
thf(zip_derived_cl800_1861,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_1862,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1863,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21525,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_cl1539,zip_derived_cl21507]) ).
thf(zip_derived_cl50_1864,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1865,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_1866,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_1867,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21588,plain,
( ( ( sum @ ( sum @ n16 @ n7 ) @ ( sum @ n5 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21525,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl567,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_1868,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26083,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21588,zip_derived_cl567,zip_derived_cl237,zip_derived_cl578,zip_derived_cl169]) ).
thf(zip_derived_cl27266,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n6 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26083]) ).
thf('221',plain,
( ( sk__1 != n6 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27266]) ).
thf(zip_derived_cl768_1869,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_1870,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1871,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21524,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_cl1538,zip_derived_cl21507]) ).
thf(zip_derived_cl49_1872,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1873,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_1874,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_1875,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21587,plain,
( ( ( sum @ ( sum @ n15 @ n7 ) @ ( sum @ n5 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21524,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl536,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_1876,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26082,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21587,zip_derived_cl536,zip_derived_cl236,zip_derived_cl546,zip_derived_cl107]) ).
thf(zip_derived_cl26965,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n6 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl26082]) ).
thf('222',plain,
( ( sk__1 != n6 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26965]) ).
thf(zip_derived_cl758,plain,
( ( sum @ n22 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_1877,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1878,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21519,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_cl1533,zip_derived_cl21507]) ).
thf(zip_derived_cl44_1879,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1880,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_1881,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_1882,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21582,plain,
( ( ( sum @ ( sum @ n10 @ n7 ) @ ( sum @ n5 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21519,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl381,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_1883,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_1884,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_1885,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26077,plain,
( ( n3
!= ( sum @ n22 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21582,zip_derived_cl381,zip_derived_cl231,zip_derived_cl608,zip_derived_cl386]) ).
thf(zip_derived_cl26893,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n6 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl758,zip_derived_cl26077]) ).
thf('223',plain,
( ( sk__1 != n6 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26893]) ).
thf(zip_derived_cl696,plain,
( ( sum @ n20 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_1886,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1887,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21518,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_cl1532,zip_derived_cl21507]) ).
thf(zip_derived_cl43_1888,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1889,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_1890,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_1891,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21581,plain,
( ( ( sum @ ( sum @ n9 @ n7 ) @ ( sum @ n5 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21518,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl350,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_1892,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_1893,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26076,plain,
( ( n1
!= ( sum @ n20 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21581,zip_derived_cl350,zip_derived_cl230,zip_derived_cl576,zip_derived_cl354]) ).
thf(zip_derived_cl26355,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n6 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl696,zip_derived_cl26076]) ).
thf('224',plain,
( ( sk__1 != n6 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26355]) ).
thf(zip_derived_cl1531_1894,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1895,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21517,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_cl1531,zip_derived_cl21507]) ).
thf(zip_derived_cl42_1896,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1897,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_1898,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_1899,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21580,plain,
( ( ( sum @ ( sum @ n8 @ n7 ) @ ( sum @ n5 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21517,zip_derived_cl42,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl319,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_1900,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_1901,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_1902,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634,plain,
( ( sum @ n18 @ n12 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26074,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n6 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21580,zip_derived_cl319,zip_derived_cl229,zip_derived_cl544,zip_derived_cl322,zip_derived_cl634]) ).
thf('225',plain,
( ( sk__1 != n6 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26074]) ).
thf(zip_derived_cl1530_1903,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1904,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n7 ) @ ( sum @ n5 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n12 ) )
<= ( sk__1 = n6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21516,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_cl1530,zip_derived_cl21507]) ).
thf(zip_derived_cl41_1905,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1906,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_1907,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_1908,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21579,plain,
( ( ( sum @ ( sum @ n7 @ n7 ) @ ( sum @ n5 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21516,zip_derived_cl41,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10]) ).
thf(zip_derived_cl288_1909,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_1910,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_1911,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572,plain,
( ( sum @ n16 @ n12 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26072,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n6 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21579,zip_derived_cl288,zip_derived_cl228,zip_derived_cl512,zip_derived_cl290,zip_derived_cl572]) ).
thf('226',plain,
( ( sk__1 != n6 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26072]) ).
thf(zip_derived_cl1529_1912,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1913,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21515,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_cl1529,zip_derived_cl21507]) ).
thf(zip_derived_cl40_1914,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1915,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_1916,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_1917,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21578,plain,
( ( ( sum @ ( sum @ n6 @ n7 ) @ ( sum @ n5 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21515,zip_derived_cl40,zip_derived_cl9,zip_derived_cl40,zip_derived_cl9]) ).
thf(zip_derived_cl257,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_1918,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_1919,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl510,plain,
( ( sum @ n14 @ n12 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26070,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n6 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21578,zip_derived_cl257,zip_derived_cl227,zip_derived_cl480,zip_derived_cl258,zip_derived_cl510]) ).
thf('227',plain,
( ( sk__1 != n6 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26070]) ).
thf(zip_derived_cl1527_1920,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1921,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21513,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_cl1527,zip_derived_cl21507]) ).
thf(zip_derived_cl38_1922,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_1923,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1924,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_1925,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_1926,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_1927,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_1928,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21575,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n10 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21513,zip_derived_cl38,zip_derived_cl195,zip_derived_cl7,zip_derived_cl225,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194]) ).
thf(zip_derived_cl416_1929,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_1930,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24641,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n6 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21575,zip_derived_cl416,zip_derived_cl386]) ).
thf('228',plain,
( ( sk__1 != n6 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24641]) ).
thf(zip_derived_cl1526_1931,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1932,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21512,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_cl1526,zip_derived_cl21507]) ).
thf(zip_derived_cl37_1933,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1934,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_1935,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_1936,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_1937,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1938,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21574,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ n8 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21512,zip_derived_cl37,zip_derived_cl164,zip_derived_cl6,zip_derived_cl224,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162]) ).
thf(zip_derived_cl384_1939,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24631,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n6 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21574,zip_derived_cl384,zip_derived_cl324]) ).
thf('229',plain,
( ( sk__1 != n6 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24631]) ).
thf(zip_derived_cl1525_1940,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1941,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21511,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_cl1525,zip_derived_cl21507]) ).
thf(zip_derived_cl36_1942,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_1943,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1944,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_1945,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_1946,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_1947,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21573,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ n6 @ n12 ) )
<= ( ( sk__1 = n6 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21511,zip_derived_cl36,zip_derived_cl133,zip_derived_cl5,zip_derived_cl223,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130]) ).
thf(zip_derived_cl352_1948,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24621,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n6 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21573,zip_derived_cl352,zip_derived_cl262]) ).
thf('230',plain,
( ( sk__1 != n6 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24621]) ).
thf(zip_derived_cl1524_1949,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl21507_1950,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_cl226,zip_derived_cl9193]) ).
thf(zip_derived_cl21510,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_cl1524,zip_derived_cl21507]) ).
thf(zip_derived_cl35_1951,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1952,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_1953,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_1954,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_1955,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_1956,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21572,plain,
( ( ( sum @ n8 @ n8 )
!= n16 )
<= ( ( sk__1 = n6 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21510,zip_derived_cl35,zip_derived_cl102,zip_derived_cl4,zip_derived_cl222,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl200]) ).
thf(zip_derived_cl320_1957,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23346,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n6 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21572,zip_derived_cl320]) ).
thf('231',plain,
( ( sk__1 != n6 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23346]) ).
thf(zip_derived_cl1497_1958,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1528_1959,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_1960,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_cl2163,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_cl1528,zip_derived_cl0]) ).
thf(zip_derived_cl8_1961,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1962,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2171,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_cl2163,zip_derived_cl8,zip_derived_cl8]) ).
thf(zip_derived_cl3324,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_cl1497,zip_derived_cl2171]) ).
thf(zip_derived_cl8_1963,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_1964,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3386,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_cl3324,zip_derived_cl8,zip_derived_cl8]) ).
thf('232',plain,
( ( sk__1 != n6 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3386]) ).
thf(zip_derived_cl1550_1965,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_1966,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27704,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl27632]) ).
thf(zip_derived_cl61_1967,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1968,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1969,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1970,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27783,plain,
( ( ( sum @ ( sum @ n27 @ n26 ) @ ( sum @ n24 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27704,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl927_1971,plain,
( ( sum @ n27 @ n26 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl837,plain,
( ( sum @ n24 @ n29 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_1972,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_1973,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl858_1974,plain,
( ( sum @ n25 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30265,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n25 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27783,zip_derived_cl927,zip_derived_cl837,zip_derived_cl768,zip_derived_cl930,zip_derived_cl858]) ).
thf('233',plain,
( ( sk_ != n28 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30265]) ).
thf(zip_derived_cl1550_1975,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_1976,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27358,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl27296]) ).
thf(zip_derived_cl61_1977,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1978,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1979,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1980,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27434,plain,
( ( ( sum @ ( sum @ n27 @ n25 ) @ ( sum @ n23 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27358,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl926_1981,plain,
( ( sum @ n27 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl806_1982,plain,
( ( sum @ n23 @ n29 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_1983,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_1984,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl856_1985,plain,
( ( sum @ n25 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30245,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n24 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27434,zip_derived_cl926,zip_derived_cl806,zip_derived_cl736,zip_derived_cl930,zip_derived_cl856]) ).
thf('234',plain,
( ( sk_ != n28 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30245]) ).
thf(zip_derived_cl1550_1986,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_1987,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27044,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl26989]) ).
thf(zip_derived_cl61_1988,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1989,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1990,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1991,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27118,plain,
( ( ( sum @ ( sum @ n27 @ n24 ) @ ( sum @ n22 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27044,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl925_1992,plain,
( ( sum @ n27 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl775,plain,
( ( sum @ n22 @ n29 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_1993,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_1994,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl854_1995,plain,
( ( sum @ n25 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30221,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n23 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27118,zip_derived_cl925,zip_derived_cl775,zip_derived_cl704,zip_derived_cl930,zip_derived_cl854]) ).
thf('235',plain,
( ( sk_ != n28 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30221]) ).
thf(zip_derived_cl1550_1996,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_1997,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26746,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl26692]) ).
thf(zip_derived_cl61_1998,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_1999,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2000,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2001,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26817,plain,
( ( ( sum @ ( sum @ n27 @ n23 ) @ ( sum @ n21 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26746,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl924_2002,plain,
( ( sum @ n27 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744,plain,
( ( sum @ n21 @ n29 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_2003,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_2004,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl852_2005,plain,
( ( sum @ n25 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30193,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n22 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26817,zip_derived_cl924,zip_derived_cl744,zip_derived_cl672,zip_derived_cl930,zip_derived_cl852]) ).
thf('236',plain,
( ( sk_ != n28 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30193]) ).
thf(zip_derived_cl1550_2006,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_2007,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29634,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl29595]) ).
thf(zip_derived_cl61_2008,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl902_2009,plain,
( ( sum @ n27 @ n1 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2010,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2011,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2012,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_2013,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl839_2014,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29698,plain,
( ( ( sum @ n28 @ ( sum @ n30 @ n29 ) )
!= n25 )
<= ( ( sk__1 = n0 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29634,zip_derived_cl61,zip_derived_cl902,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30,zip_derived_cl930,zip_derived_cl839]) ).
thf(zip_derived_cl1023,plain,
( ( sum @ n30 @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl960_2015,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30103,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n0 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29698,zip_derived_cl1023,zip_derived_cl960]) ).
thf('237',plain,
( ( sk_ != n28 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30103]) ).
thf(zip_derived_cl1024_2016,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_2017,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2018,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_2019,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18800,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl18771]) ).
thf(zip_derived_cl61_2020,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2021,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2022,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2023,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18863,plain,
( ( ( sum @ ( sum @ n27 @ n3 ) @ ( sum @ n1 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18800,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl124,plain,
( ( sum @ n1 @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25530,plain,
( ( ( sum @ ( sum @ n27 @ n3 ) @ n30 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18863,zip_derived_cl124]) ).
thf(zip_derived_cl28684,plain,
( ( ( sum @ ( sum @ n27 @ n3 ) @ n30 )
!= ( sum @ n25 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl25530]) ).
thf(zip_derived_cl904_2024,plain,
( ( sum @ n27 @ n3 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl843_2025,plain,
( ( sum @ n25 @ n4 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28706,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n2 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28684,zip_derived_cl904,zip_derived_cl843]) ).
thf(zip_derived_cl30006,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n2 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl28706]) ).
thf('238',plain,
( ( sk_ != n28 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30006]) ).
thf(zip_derived_cl1550_2026,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_2027,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29326,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl29297]) ).
thf(zip_derived_cl61_2028,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl901_2029,plain,
( ( sum @ n27 @ n0 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2030,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2031,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2032,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_2033,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl868_2034,plain,
( ( sum @ n25 @ n29 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29388,plain,
( ( ( sum @ n27 @ ( sum @ n29 @ n29 ) )
!= n23 )
<= ( ( sk__1 = n30 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29326,zip_derived_cl61,zip_derived_cl901,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30,zip_derived_cl930,zip_derived_cl868]) ).
thf(zip_derived_cl992_2035,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl928_2036,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29854,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n30 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29388,zip_derived_cl992,zip_derived_cl928]) ).
thf('239',plain,
( ( sk_ != n28 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29854]) ).
thf(zip_derived_cl992_2037,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_2038,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2039,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_2040,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18391,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl18362]) ).
thf(zip_derived_cl61_2041,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2042,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2043,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2044,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18454,plain,
( ( ( sum @ ( sum @ n27 @ n2 ) @ ( sum @ n0 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18391,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl93_2045,plain,
( ( sum @ n0 @ n29 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25317,plain,
( ( ( sum @ ( sum @ n27 @ n2 ) @ n29 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18454,zip_derived_cl93]) ).
thf(zip_derived_cl28683,plain,
( ( ( sum @ ( sum @ n27 @ n2 ) @ n29 )
!= ( sum @ n25 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl25317]) ).
thf(zip_derived_cl903_2046,plain,
( ( sum @ n27 @ n2 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl841_2047,plain,
( ( sum @ n25 @ n2 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28705,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n1 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28683,zip_derived_cl903,zip_derived_cl841]) ).
thf(zip_derived_cl29556,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n1 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl28705]) ).
thf('240',plain,
( ( sk_ != n28 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29556]) ).
thf(zip_derived_cl1550_2048,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_2049,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29147,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl29056]) ).
thf(zip_derived_cl61_2050,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl931_2051,plain,
( ( sum @ n27 @ n30 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2052,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl961_2053,plain,
( ( sum @ n28 @ n29 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl896_2054,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2055,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2056,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_2057,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_2058,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29234,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n29 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29147,zip_derived_cl61,zip_derived_cl931,zip_derived_cl30,zip_derived_cl961,zip_derived_cl896,zip_derived_cl61,zip_derived_cl30,zip_derived_cl930,zip_derived_cl866]) ).
thf('241',plain,
( ( sk_ != n28 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29234]) ).
thf(zip_derived_cl930_2059,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2060,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_2061,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26471,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl26424]) ).
thf(zip_derived_cl61_2062,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2063,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2064,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2065,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26540,plain,
( ( ( sum @ ( sum @ n27 @ n22 ) @ ( sum @ n20 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26471,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl923_2066,plain,
( ( sum @ n27 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713,plain,
( ( sum @ n20 @ n29 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_2067,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28628,plain,
( ( n5
!= ( sum @ ( sum @ n27 @ n29 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26540,zip_derived_cl923,zip_derived_cl713,zip_derived_cl640]) ).
thf(zip_derived_cl28704,plain,
( ( n5
!= ( sum @ n25 @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl28628]) ).
thf(zip_derived_cl850_2068,plain,
( ( sum @ n25 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28745,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n21 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28704,zip_derived_cl850]) ).
thf('242',plain,
( ( sk_ != n28 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28745]) ).
thf(zip_derived_cl930_2069,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2070,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_2071,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26196,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl26155]) ).
thf(zip_derived_cl61_2072,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2073,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2074,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2075,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26263,plain,
( ( ( sum @ ( sum @ n27 @ n21 ) @ ( sum @ n19 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26196,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl922_2076,plain,
( ( sum @ n27 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682,plain,
( ( sum @ n19 @ n29 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_2077,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28598,plain,
( ( n3
!= ( sum @ ( sum @ n27 @ n29 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26263,zip_derived_cl922,zip_derived_cl682,zip_derived_cl608]) ).
thf(zip_derived_cl28703,plain,
( ( n3
!= ( sum @ n25 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl28598]) ).
thf(zip_derived_cl848_2078,plain,
( ( sum @ n25 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28743,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n20 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28703,zip_derived_cl848]) ).
thf('243',plain,
( ( sk_ != n28 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28743]) ).
thf(zip_derived_cl930_2079,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2080,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_2081,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25926,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl25889]) ).
thf(zip_derived_cl61_2082,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2083,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2084,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2085,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25992,plain,
( ( ( sum @ ( sum @ n27 @ n20 ) @ ( sum @ n18 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25926,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl651,plain,
( ( sum @ n18 @ n29 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28564,plain,
( ( ( sum @ ( sum @ n27 @ n20 ) @ n16 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25992,zip_derived_cl651]) ).
thf(zip_derived_cl28701,plain,
( ( ( sum @ ( sum @ n27 @ n20 ) @ n16 )
!= ( sum @ n25 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl28564]) ).
thf(zip_derived_cl921_2086,plain,
( ( sum @ n27 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_2087,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl846_2088,plain,
( ( sum @ n25 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28739,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n19 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28701,zip_derived_cl921,zip_derived_cl576,zip_derived_cl846]) ).
thf('244',plain,
( ( sk_ != n28 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28739]) ).
thf(zip_derived_cl930_2089,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2090,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2091,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25656,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl25619]) ).
thf(zip_derived_cl61_2092,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2093,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2094,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2095,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25721,plain,
( ( ( sum @ ( sum @ n27 @ n19 ) @ ( sum @ n17 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25656,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl620,plain,
( ( sum @ n17 @ n29 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28253,plain,
( ( ( sum @ ( sum @ n27 @ n19 ) @ n15 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25721,zip_derived_cl620]) ).
thf(zip_derived_cl28700,plain,
( ( ( sum @ ( sum @ n27 @ n19 ) @ n15 )
!= ( sum @ n25 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl28253]) ).
thf(zip_derived_cl920_2096,plain,
( ( sum @ n27 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_2097,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl844_2098,plain,
( ( sum @ n25 @ n5 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28737,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n18 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28700,zip_derived_cl920,zip_derived_cl544,zip_derived_cl844]) ).
thf('245',plain,
( ( sk_ != n28 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28737]) ).
thf(zip_derived_cl930_2099,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2100,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_2101,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25386,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl25355]) ).
thf(zip_derived_cl61_2102,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2103,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2104,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2105,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25450,plain,
( ( ( sum @ ( sum @ n27 @ n18 ) @ ( sum @ n16 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25386,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl589,plain,
( ( sum @ n16 @ n29 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27906,plain,
( ( ( sum @ ( sum @ n27 @ n18 ) @ n14 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25450,zip_derived_cl589]) ).
thf(zip_derived_cl28699,plain,
( ( ( sum @ ( sum @ n27 @ n18 ) @ n14 )
!= ( sum @ n25 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl27906]) ).
thf(zip_derived_cl919_2106,plain,
( ( sum @ n27 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_2107,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl842_2108,plain,
( ( sum @ n25 @ n3 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28735,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n17 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28699,zip_derived_cl919,zip_derived_cl512,zip_derived_cl842]) ).
thf('246',plain,
( ( sk_ != n28 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28735]) ).
thf(zip_derived_cl930_2109,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2110,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_2111,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25186,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl25157]) ).
thf(zip_derived_cl61_2112,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2113,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2114,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2115,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25249,plain,
( ( ( sum @ ( sum @ n27 @ n17 ) @ ( sum @ n15 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25186,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl558,plain,
( ( sum @ n15 @ n29 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27864,plain,
( ( ( sum @ ( sum @ n27 @ n17 ) @ n13 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25249,zip_derived_cl558]) ).
thf(zip_derived_cl28698,plain,
( ( ( sum @ ( sum @ n27 @ n17 ) @ n13 )
!= ( sum @ n25 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl27864]) ).
thf(zip_derived_cl918_2116,plain,
( ( sum @ n27 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_2117,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl840_2118,plain,
( ( sum @ n25 @ n1 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28733,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n16 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28698,zip_derived_cl918,zip_derived_cl480,zip_derived_cl840]) ).
thf('247',plain,
( ( sk_ != n28 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28733]) ).
thf(zip_derived_cl930_2119,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2120,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_2121,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24967,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl24936]) ).
thf(zip_derived_cl61_2122,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2123,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2124,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2125,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25030,plain,
( ( ( sum @ ( sum @ n27 @ n16 ) @ ( sum @ n14 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24967,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl527,plain,
( ( sum @ n14 @ n29 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27571,plain,
( ( ( sum @ ( sum @ n27 @ n16 ) @ n12 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25030,zip_derived_cl527]) ).
thf(zip_derived_cl28697,plain,
( ( ( sum @ ( sum @ n27 @ n16 ) @ n12 )
!= ( sum @ n25 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl27571]) ).
thf(zip_derived_cl917_2126,plain,
( ( sum @ n27 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_2127,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl869_2128,plain,
( ( sum @ n25 @ n30 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28731,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n15 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28697,zip_derived_cl917,zip_derived_cl448,zip_derived_cl869]) ).
thf('248',plain,
( ( sk_ != n28 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28731]) ).
thf(zip_derived_cl930_2129,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2130,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_2131,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24704,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl24673]) ).
thf(zip_derived_cl61_2132,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2133,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2134,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2135,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24767,plain,
( ( ( sum @ ( sum @ n27 @ n15 ) @ ( sum @ n13 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24704,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl496,plain,
( ( sum @ n13 @ n29 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27507,plain,
( ( ( sum @ ( sum @ n27 @ n15 ) @ n11 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24767,zip_derived_cl496]) ).
thf(zip_derived_cl28696,plain,
( ( ( sum @ ( sum @ n27 @ n15 ) @ n11 )
!= ( sum @ n25 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl27507]) ).
thf(zip_derived_cl916_2136,plain,
( ( sum @ n27 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_2137,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl867_2138,plain,
( ( sum @ n25 @ n28 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28729,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n14 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28696,zip_derived_cl916,zip_derived_cl416,zip_derived_cl867]) ).
thf('249',plain,
( ( sk_ != n28 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28729]) ).
thf(zip_derived_cl930_2139,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2140,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_2141,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24438,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl24407]) ).
thf(zip_derived_cl61_2142,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2143,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2144,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2145,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24501,plain,
( ( ( sum @ ( sum @ n27 @ n14 ) @ ( sum @ n12 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24438,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl465,plain,
( ( sum @ n12 @ n29 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27216,plain,
( ( ( sum @ ( sum @ n27 @ n14 ) @ n10 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24501,zip_derived_cl465]) ).
thf(zip_derived_cl28695,plain,
( ( ( sum @ ( sum @ n27 @ n14 ) @ n10 )
!= ( sum @ n25 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl27216]) ).
thf(zip_derived_cl915_2146,plain,
( ( sum @ n27 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_2147,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl865_2148,plain,
( ( sum @ n25 @ n26 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28727,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n13 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28695,zip_derived_cl915,zip_derived_cl384,zip_derived_cl865]) ).
thf('250',plain,
( ( sk_ != n28 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28727]) ).
thf(zip_derived_cl930_2149,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2150,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2151,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24172,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl24141]) ).
thf(zip_derived_cl61_2152,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2153,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2154,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2155,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24235,plain,
( ( ( sum @ ( sum @ n27 @ n13 ) @ ( sum @ n11 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24172,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl434,plain,
( ( sum @ n11 @ n29 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27172,plain,
( ( ( sum @ ( sum @ n27 @ n13 ) @ n9 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24235,zip_derived_cl434]) ).
thf(zip_derived_cl28694,plain,
( ( ( sum @ ( sum @ n27 @ n13 ) @ n9 )
!= ( sum @ n25 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl27172]) ).
thf(zip_derived_cl914_2156,plain,
( ( sum @ n27 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_2157,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl863_2158,plain,
( ( sum @ n25 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28725,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n12 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28694,zip_derived_cl914,zip_derived_cl352,zip_derived_cl863]) ).
thf('251',plain,
( ( sk_ != n28 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28725]) ).
thf(zip_derived_cl930_2159,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2160,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_2161,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23902,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl23871]) ).
thf(zip_derived_cl61_2162,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2163,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2164,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2165,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23965,plain,
( ( ( sum @ ( sum @ n27 @ n12 ) @ ( sum @ n10 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23902,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl403,plain,
( ( sum @ n10 @ n29 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26912,plain,
( ( ( sum @ ( sum @ n27 @ n12 ) @ n8 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23965,zip_derived_cl403]) ).
thf(zip_derived_cl28693,plain,
( ( ( sum @ ( sum @ n27 @ n12 ) @ n8 )
!= ( sum @ n25 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl26912]) ).
thf(zip_derived_cl913_2166,plain,
( ( sum @ n27 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_2167,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl861_2168,plain,
( ( sum @ n25 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28723,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n11 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28693,zip_derived_cl913,zip_derived_cl320,zip_derived_cl861]) ).
thf('252',plain,
( ( sk_ != n28 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28723]) ).
thf(zip_derived_cl930_2169,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2170,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_2171,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23639,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl23610]) ).
thf(zip_derived_cl61_2172,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2173,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2174,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2175,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23702,plain,
( ( ( sum @ ( sum @ n27 @ n11 ) @ ( sum @ n9 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23639,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl372_2176,plain,
( ( sum @ n9 @ n29 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26649,plain,
( ( ( sum @ ( sum @ n27 @ n11 ) @ n7 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23702,zip_derived_cl372]) ).
thf(zip_derived_cl28692,plain,
( ( ( sum @ ( sum @ n27 @ n11 ) @ n7 )
!= ( sum @ n25 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl26649]) ).
thf(zip_derived_cl912_2177,plain,
( ( sum @ n27 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_2178,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl859_2179,plain,
( ( sum @ n25 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28721,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n10 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28692,zip_derived_cl912,zip_derived_cl288,zip_derived_cl859]) ).
thf('253',plain,
( ( sk_ != n28 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28721]) ).
thf(zip_derived_cl930_2180,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2181,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_2182,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23376,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl23345]) ).
thf(zip_derived_cl61_2183,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2184,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2185,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2186,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23439,plain,
( ( ( sum @ ( sum @ n27 @ n10 ) @ ( sum @ n8 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23376,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl341,plain,
( ( sum @ n8 @ n29 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26608,plain,
( ( ( sum @ ( sum @ n27 @ n10 ) @ n6 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23439,zip_derived_cl341]) ).
thf(zip_derived_cl28691,plain,
( ( ( sum @ ( sum @ n27 @ n10 ) @ n6 )
!= ( sum @ n25 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl26608]) ).
thf(zip_derived_cl911_2187,plain,
( ( sum @ n27 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_2188,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl857_2189,plain,
( ( sum @ n25 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28719,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n9 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28691,zip_derived_cl911,zip_derived_cl256,zip_derived_cl857]) ).
thf('254',plain,
( ( sk_ != n28 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28719]) ).
thf(zip_derived_cl930_2190,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2191,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_2192,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22891,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl22862]) ).
thf(zip_derived_cl61_2193,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2194,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2195,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2196,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22954,plain,
( ( ( sum @ ( sum @ n27 @ n9 ) @ ( sum @ n7 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22891,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl310,plain,
( ( sum @ n7 @ n29 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26379,plain,
( ( ( sum @ ( sum @ n27 @ n9 ) @ n5 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22954,zip_derived_cl310]) ).
thf(zip_derived_cl28690,plain,
( ( ( sum @ ( sum @ n27 @ n9 ) @ n5 )
!= ( sum @ n25 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl26379]) ).
thf(zip_derived_cl910_2197,plain,
( ( sum @ n27 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_2198,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl855_2199,plain,
( ( sum @ n25 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28717,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n8 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28690,zip_derived_cl910,zip_derived_cl224,zip_derived_cl855]) ).
thf('255',plain,
( ( sk_ != n28 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28717]) ).
thf(zip_derived_cl930_2200,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2201,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_2202,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22262,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl22233]) ).
thf(zip_derived_cl61_2203,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2204,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2205,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2206,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22325,plain,
( ( ( sum @ ( sum @ n27 @ n8 ) @ ( sum @ n6 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22262,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl279,plain,
( ( sum @ n6 @ n29 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26321,plain,
( ( ( sum @ ( sum @ n27 @ n8 ) @ n4 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22325,zip_derived_cl279]) ).
thf(zip_derived_cl28689,plain,
( ( ( sum @ ( sum @ n27 @ n8 ) @ n4 )
!= ( sum @ n25 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl26321]) ).
thf(zip_derived_cl909_2207,plain,
( ( sum @ n27 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_2208,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl853_2209,plain,
( ( sum @ n25 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28715,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n7 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28689,zip_derived_cl909,zip_derived_cl192,zip_derived_cl853]) ).
thf('256',plain,
( ( sk_ != n28 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28715]) ).
thf(zip_derived_cl930_2210,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2211,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_2212,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20207,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl20178]) ).
thf(zip_derived_cl61_2213,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2214,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2215,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2216,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20270,plain,
( ( ( sum @ ( sum @ n27 @ n5 ) @ ( sum @ n3 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20207,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl186,plain,
( ( sum @ n3 @ n29 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25820,plain,
( ( ( sum @ ( sum @ n27 @ n5 ) @ n1 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20270,zip_derived_cl186]) ).
thf(zip_derived_cl28686,plain,
( ( ( sum @ ( sum @ n27 @ n5 ) @ n1 )
!= ( sum @ n25 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl25820]) ).
thf(zip_derived_cl906_2217,plain,
( ( sum @ n27 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2218,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl847_2219,plain,
( ( sum @ n25 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28709,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n4 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28686,zip_derived_cl906,zip_derived_cl96,zip_derived_cl847]) ).
thf('257',plain,
( ( sk_ != n28 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28709]) ).
thf(zip_derived_cl930_2220,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2221,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_2222,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19458,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl19429]) ).
thf(zip_derived_cl61_2223,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2224,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2225,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2226,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19521,plain,
( ( ( sum @ ( sum @ n27 @ n4 ) @ ( sum @ n2 @ n29 ) )
!= ( sum @ ( sum @ n27 @ n29 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19458,zip_derived_cl61,zip_derived_cl30,zip_derived_cl61,zip_derived_cl30]) ).
thf(zip_derived_cl155_2227,plain,
( ( sum @ n2 @ n29 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25594,plain,
( ( ( sum @ ( sum @ n27 @ n4 ) @ n0 )
!= ( sum @ ( sum @ n27 @ n29 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19521,zip_derived_cl155]) ).
thf(zip_derived_cl28685,plain,
( ( ( sum @ ( sum @ n27 @ n4 ) @ n0 )
!= ( sum @ n25 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl25594]) ).
thf(zip_derived_cl905_2228,plain,
( ( sum @ n27 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2229,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl845_2230,plain,
( ( sum @ n25 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28707,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n3 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28685,zip_derived_cl905,zip_derived_cl64,zip_derived_cl845]) ).
thf('258',plain,
( ( sk_ != n28 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28707]) ).
thf(zip_derived_cl1550_2231,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl7869_2232,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ ( pred @ n28 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n28 ) @ n29 ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2021,zip_derived_cl30,zip_derived_cl30]) ).
thf(zip_derived_cl7898,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n29 ) @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ ( succ @ n28 ) ) @ ( sum @ ( pred @ n28 ) @ n29 ) ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n28 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl7869]) ).
thf(zip_derived_cl30_2233,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30_2234,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7960,plain,
( ( ( sum @ ( sum @ ( pred @ n28 ) @ n29 ) @ ( sum @ ( pred @ n28 ) @ n29 ) )
!= ( sum @ ( sum @ ( pred @ n28 ) @ n29 ) @ ( sum @ ( pred @ n28 ) @ n29 ) ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7898,zip_derived_cl30,zip_derived_cl30]) ).
thf('259',plain,
( ( sk_ != n28 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7960]) ).
thf(zip_derived_cl1013,plain,
( ( sum @ n30 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_2235,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2236,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25628,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl25619]) ).
thf(zip_derived_cl33_2237,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2238,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_2239,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_2240,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2241,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25690,plain,
( ( ( sum @ ( sum @ n30 @ n19 ) @ n18 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25628,zip_derived_cl33,zip_derived_cl2,zip_derived_cl592,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29868,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1013,zip_derived_cl25690]) ).
thf(zip_derived_cl640_2242,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_2243,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2244,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29870,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n18 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29868,zip_derived_cl640,zip_derived_cl995,zip_derived_cl69]) ).
thf('260',plain,
( ( sk_ != n0 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29870]) ).
thf(zip_derived_cl999,plain,
( ( sum @ n30 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_2245,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2246,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25643,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl25619]) ).
thf(zip_derived_cl48_2247,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517,plain,
( ( sum @ n14 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2248,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl607,plain,
( ( sum @ n17 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_2249,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2250,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2251,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_2252,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25705,plain,
( ( n4
!= ( sum @ n30 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25643,zip_derived_cl48,zip_derived_cl517,zip_derived_cl17,zip_derived_cl607,zip_derived_cl128,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29746,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n18 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl999,zip_derived_cl25705]) ).
thf('261',plain,
( ( sk__1 != n18 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29746]) ).
thf(zip_derived_cl992_2253,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_2254,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2255,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25639,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl25619]) ).
thf(zip_derived_cl44_2256,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393,plain,
( ( sum @ n10 @ n19 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2257,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603_2258,plain,
( ( sum @ n17 @ n12 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2259,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2260,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_2261,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25701,plain,
( ( ( sum @ n29 @ n29 )
!= ( sum @ n22 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25639,zip_derived_cl44,zip_derived_cl393,zip_derived_cl13,zip_derived_cl603,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl29534,plain,
( ( n27
!= ( sum @ n22 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl25701]) ).
thf(zip_derived_cl751,plain,
( ( sum @ n22 @ n5 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29565,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n18 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29534,zip_derived_cl751]) ).
thf('262',plain,
( ( sk__1 != n18 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29565]) ).
thf(zip_derived_cl982,plain,
( ( sum @ n29 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_2262,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2263,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25658,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl25619]) ).
thf(zip_derived_cl63_2264,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_2265,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2266,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_2267,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25723,plain,
( ( ( sum @ ( sum @ n29 @ n19 ) @ n17 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25658,zip_derived_cl63,zip_derived_cl32,zip_derived_cl591,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29461,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl982,zip_derived_cl25723]) ).
thf(zip_derived_cl608_2268,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_2269,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl968,plain,
( ( sum @ n29 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29462,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n18 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29461,zip_derived_cl608,zip_derived_cl963,zip_derived_cl968]) ).
thf('263',plain,
( ( sk__1 != n18 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29462]) ).
thf(zip_derived_cl960_2270,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_2271,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2272,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25638,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl25619]) ).
thf(zip_derived_cl43_2273,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362,plain,
( ( sum @ n9 @ n19 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2274,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602,plain,
( ( sum @ n17 @ n11 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2275,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2276,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_2277,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25700,plain,
( ( ( sum @ n28 @ n28 )
!= ( sum @ n20 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25638,zip_derived_cl43,zip_derived_cl362,zip_derived_cl12,zip_derived_cl602,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl29005,plain,
( ( n25
!= ( sum @ n20 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl25700]) ).
thf(zip_derived_cl689,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29033,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n18 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29005,zip_derived_cl689]) ).
thf('264',plain,
( ( sk__1 != n18 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29033]) ).
thf(zip_derived_cl937_2278,plain,
( ( sum @ n28 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_2279,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2280,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25642,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl25619]) ).
thf(zip_derived_cl47_2281,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486,plain,
( ( sum @ n13 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2282,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl606,plain,
( ( sum @ n17 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2283,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2284,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2285,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_2286,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25704,plain,
( ( n2
!= ( sum @ n28 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25642,zip_derived_cl47,zip_derived_cl486,zip_derived_cl16,zip_derived_cl606,zip_derived_cl96,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28925,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n18 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl937,zip_derived_cl25704]) ).
thf('265',plain,
( ( sk__1 != n18 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28925]) ).
thf(zip_derived_cl928_2287,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_2288,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2289,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25637,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl25619]) ).
thf(zip_derived_cl42_2290,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331,plain,
( ( sum @ n8 @ n19 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_2291,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601_2292,plain,
( ( sum @ n17 @ n10 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_2293,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_2294,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_2295,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25699,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ n18 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25637,zip_derived_cl42,zip_derived_cl331,zip_derived_cl11,zip_derived_cl601,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl28633,plain,
( ( n23
!= ( sum @ n18 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl25699]) ).
thf(zip_derived_cl627,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28661,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n18 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28633,zip_derived_cl627]) ).
thf('266',plain,
( ( sk__1 != n18 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28661]) ).
thf(zip_derived_cl896_2296,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_2297,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2298,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25636,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl25619]) ).
thf(zip_derived_cl41_2299,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300,plain,
( ( sum @ n7 @ n19 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2300,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600,plain,
( ( sum @ n17 @ n9 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_2301,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2302,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_2303,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl565,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25698,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n18 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25636,zip_derived_cl41,zip_derived_cl300,zip_derived_cl10,zip_derived_cl600,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl565]) ).
thf(zip_derived_cl28283,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n18 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl25698]) ).
thf('267',plain,
( ( sk__1 != n18 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28283]) ).
thf(zip_derived_cl1548_2304,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2305,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25654,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl25619]) ).
thf(zip_derived_cl59_2306,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2307,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2308,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2309,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25719,plain,
( ( ( sum @ ( sum @ n25 @ n19 ) @ ( sum @ n17 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25654,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl858_2310,plain,
( ( sum @ n25 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618_2311,plain,
( ( sum @ n17 @ n27 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_2312,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_2313,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720,plain,
( ( sum @ n21 @ n5 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28250,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n18 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25719,zip_derived_cl858,zip_derived_cl618,zip_derived_cl480,zip_derived_cl866,zip_derived_cl720]) ).
thf('268',plain,
( ( sk__1 != n18 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28250]) ).
thf(zip_derived_cl1547_2314,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2315,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25653,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl25619]) ).
thf(zip_derived_cl58_2316,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2317,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2318,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2319,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25718,plain,
( ( ( sum @ ( sum @ n24 @ n19 ) @ ( sum @ n17 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25653,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl827,plain,
( ( sum @ n24 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617,plain,
( ( sum @ n17 @ n26 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_2320,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_2321,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28245,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n18 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25718,zip_derived_cl827,zip_derived_cl617,zip_derived_cl448,zip_derived_cl834,zip_derived_cl658]) ).
thf('269',plain,
( ( sk__1 != n18 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28245]) ).
thf(zip_derived_cl1546_2322,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2323,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25652,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl25619]) ).
thf(zip_derived_cl57_2324,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2325,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2326,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2327,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25717,plain,
( ( ( sum @ ( sum @ n23 @ n19 ) @ ( sum @ n17 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25652,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl796_2328,plain,
( ( sum @ n23 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616,plain,
( ( sum @ n17 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_2329,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_2330,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28243,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n18 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25717,zip_derived_cl796,zip_derived_cl616,zip_derived_cl416,zip_derived_cl802,zip_derived_cl596]) ).
thf('270',plain,
( ( sk_ != n24 )
| ( sk__1 != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28243]) ).
thf(zip_derived_cl1545_2331,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2332,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25651,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl25619]) ).
thf(zip_derived_cl56_2333,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_2334,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2335,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_2336,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25716,plain,
( ( ( sum @ ( sum @ n22 @ n19 ) @ ( sum @ n17 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25651,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl765,plain,
( ( sum @ n22 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615,plain,
( ( sum @ n17 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_2337,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_2338,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28241,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n18 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25716,zip_derived_cl765,zip_derived_cl615,zip_derived_cl384,zip_derived_cl770,zip_derived_cl534]) ).
thf('271',plain,
( ( sk__1 != n18 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28241]) ).
thf(zip_derived_cl1544_2339,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2340,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25650,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl25619]) ).
thf(zip_derived_cl55_2341,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2342,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2343,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2344,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25715,plain,
( ( ( sum @ ( sum @ n21 @ n19 ) @ ( sum @ n17 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25650,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl734,plain,
( ( sum @ n21 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614_2345,plain,
( ( sum @ n17 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_2346,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_2347,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28237,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n18 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25715,zip_derived_cl734,zip_derived_cl614,zip_derived_cl352,zip_derived_cl738,zip_derived_cl472]) ).
thf('272',plain,
( ( sk__1 != n18 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28237]) ).
thf(zip_derived_cl1543_2348,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2349,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25649,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl25619]) ).
thf(zip_derived_cl54_2350,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2351,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2352,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2353,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25714,plain,
( ( ( sum @ ( sum @ n20 @ n19 ) @ ( sum @ n17 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25649,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl703,plain,
( ( sum @ n20 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613,plain,
( ( sum @ n17 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_2354,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_2355,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28235,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n18 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25714,zip_derived_cl703,zip_derived_cl613,zip_derived_cl320,zip_derived_cl706,zip_derived_cl410]) ).
thf('273',plain,
( ( sk__1 != n18 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28235]) ).
thf(zip_derived_cl1542_2356,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2357,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25648,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl25619]) ).
thf(zip_derived_cl53_2358,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2359,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2360,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2361,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25713,plain,
( ( ( sum @ ( sum @ n19 @ n19 ) @ ( sum @ n17 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25648,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl672_2362,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612_2363,plain,
( ( sum @ n17 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_2364,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_2365,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348_2366,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28233,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n18 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25713,zip_derived_cl672,zip_derived_cl612,zip_derived_cl288,zip_derived_cl674,zip_derived_cl348]) ).
thf('274',plain,
( ( sk__1 != n18 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28233]) ).
thf(zip_derived_cl1541_2367,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2368,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25647,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl25619]) ).
thf(zip_derived_cl52_2369,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2370,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2371,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2372,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25712,plain,
( ( ( sum @ ( sum @ n18 @ n19 ) @ ( sum @ n17 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25647,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl641,plain,
( ( sum @ n18 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611,plain,
( ( sum @ n17 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_2373,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_2374,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28231,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n18 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25712,zip_derived_cl641,zip_derived_cl611,zip_derived_cl256,zip_derived_cl642,zip_derived_cl286]) ).
thf('275',plain,
( ( sk__1 != n18 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28231]) ).
thf(zip_derived_cl875_2375,plain,
( ( sum @ n26 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_2376,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2377,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25641,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl25619]) ).
thf(zip_derived_cl46_2378,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455,plain,
( ( sum @ n12 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2379,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl605,plain,
( ( sum @ n17 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2380,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2381,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2382,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_2383,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25703,plain,
( ( n0
!= ( sum @ n26 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25641,zip_derived_cl46,zip_derived_cl455,zip_derived_cl15,zip_derived_cl605,zip_derived_cl64,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28188,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n18 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl875,zip_derived_cl25703]) ).
thf('276',plain,
( ( sk__1 != n18 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28188]) ).
thf(zip_derived_cl864_2384,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_2385,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2386,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25635,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl25619]) ).
thf(zip_derived_cl40_2387,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2388,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_2389,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2390,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_2391,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25697,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n18 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25635,zip_derived_cl40,zip_derived_cl269,zip_derived_cl9,zip_derived_cl599,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl503]) ).
thf(zip_derived_cl27930,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n18 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl25697]) ).
thf('277',plain,
( ( sk__1 != n18 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27930]) ).
thf(zip_derived_cl832_2392,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_2393,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2394,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25634,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl25619]) ).
thf(zip_derived_cl39_2395,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_2396,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2397,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_2398,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_2399,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2400,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_2401,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25696,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n18 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25634,zip_derived_cl39,zip_derived_cl238,zip_derived_cl8,zip_derived_cl598,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl441]) ).
thf(zip_derived_cl27595,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n18 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl25696]) ).
thf('278',plain,
( ( sk__1 != n18 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27595]) ).
thf(zip_derived_cl800_2402,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_2403,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2404,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25633,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl25619]) ).
thf(zip_derived_cl38_2405,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_2406,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2407,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597_2408,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_2409,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2410,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_2411,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25695,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n18 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25633,zip_derived_cl38,zip_derived_cl207,zip_derived_cl7,zip_derived_cl597,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl379]) ).
thf(zip_derived_cl27262,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n18 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl25695]) ).
thf('279',plain,
( ( sk__1 != n18 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27262]) ).
thf(zip_derived_cl768_2412,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_2413,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2414,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25632,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl25619]) ).
thf(zip_derived_cl37_2415,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2416,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_2417,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_2418,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2419,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2420,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25694,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n18 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25632,zip_derived_cl37,zip_derived_cl176,zip_derived_cl6,zip_derived_cl596,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl317]) ).
thf(zip_derived_cl26960,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n18 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl25694]) ).
thf('280',plain,
( ( sk__1 != n18 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26960]) ).
thf(zip_derived_cl736_2421,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_2422,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2423,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25631,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl25619]) ).
thf(zip_derived_cl36_2424,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_2425,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2426,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl595,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2427,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2428,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2429,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25693,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n18 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25631,zip_derived_cl36,zip_derived_cl145,zip_derived_cl5,zip_derived_cl595,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl255]) ).
thf(zip_derived_cl26667,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n18 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25693]) ).
thf('281',plain,
( ( sk__1 != n18 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26667]) ).
thf(zip_derived_cl704_2430,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2431,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2432,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25630,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl25619]) ).
thf(zip_derived_cl35_2433,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2434,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2435,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2436,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2437,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_2438,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25692,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25630,zip_derived_cl35,zip_derived_cl114,zip_derived_cl4,zip_derived_cl594,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl193]) ).
thf(zip_derived_cl26405,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n18 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25692]) ).
thf('282',plain,
( ( sk__1 != n18 )
| ( sk_ != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26405]) ).
thf(zip_derived_cl1539_2439,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2440,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25645,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl25619]) ).
thf(zip_derived_cl50_2441,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579,plain,
( ( sum @ n16 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2442,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl609,plain,
( ( sum @ n17 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_2443,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2444,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2445,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_2446,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2447,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25708,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n18 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25645,zip_derived_cl50,zip_derived_cl579,zip_derived_cl19,zip_derived_cl609,zip_derived_cl192,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl162]) ).
thf('283',plain,
( ( sk__1 != n18 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25708]) ).
thf(zip_derived_cl1538_2448,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2449,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25644,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl25619]) ).
thf(zip_derived_cl49_2450,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548_2451,plain,
( ( sum @ n15 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2452,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_2453,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_2454,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2455,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2456,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_2457,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25706,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n18 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25644,zip_derived_cl49,zip_derived_cl548,zip_derived_cl18,zip_derived_cl608,zip_derived_cl160,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl100]) ).
thf('284',plain,
( ( sk__1 != n18 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25706]) ).
thf(zip_derived_cl1024_2458,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_2459,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25619_2460,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n19 ) @ ( sum @ n17 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n5 ) )
<= ( sk__1 = n18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl13848]) ).
thf(zip_derived_cl25640,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n19 ) @ ( sum @ n17 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl25619]) ).
thf(zip_derived_cl45_2461,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424,plain,
( ( sum @ n11 @ n19 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_2462,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604,plain,
( ( sum @ n17 @ n13 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_2463,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_2464,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_2465,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25702,plain,
( ( ( sum @ n30 @ n30 )
!= ( sum @ n24 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25640,zip_derived_cl45,zip_derived_cl424,zip_derived_cl14,zip_derived_cl604,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl29984,plain,
( ( n29
!= ( sum @ n24 @ n5 ) )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl25702]) ).
thf(zip_derived_cl813,plain,
( ( sum @ n24 @ n5 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30015,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n18 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29984,zip_derived_cl813]) ).
thf('285',plain,
( ( sk__1 != n18 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30015]) ).
thf(zip_derived_cl1540_2466,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl5824_2467,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_cl1753,zip_derived_cl20,zip_derived_cl20]) ).
thf(zip_derived_cl5843,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_cl1540,zip_derived_cl5824]) ).
thf(zip_derived_cl20_2468,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2469,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5905,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_cl5843,zip_derived_cl20,zip_derived_cl20]) ).
thf('286',plain,
( ( sk__1 != n18 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5905]) ).
thf(zip_derived_cl1524_2470,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_2471,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29300,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl29297]) ).
thf(zip_derived_cl35_2472,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2473,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2474,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2475,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2476,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_2477,plain,
( ( sum @ n4 @ n29 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29362,plain,
( ( ( sum @ n1 @ ( sum @ n29 @ n3 ) )
!= n2 )
<= ( ( sk__1 = n30 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29300,zip_derived_cl35,zip_derived_cl95,zip_derived_cl4,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl217]) ).
thf(zip_derived_cl966,plain,
( ( sum @ n29 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2478,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29514,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n30 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29362,zip_derived_cl966,zip_derived_cl96]) ).
thf('287',plain,
( ( sk_ != n2 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29514]) ).
thf(zip_derived_cl1524_2479,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_2480,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29121,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl29056]) ).
thf(zip_derived_cl35_2481,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_2482,plain,
( ( sum @ n1 @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2483,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl935_2484,plain,
( ( sum @ n28 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2485,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2486,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2487,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2488,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_2489,plain,
( ( sum @ n4 @ n27 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29183,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n29 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29121,zip_derived_cl35,zip_derived_cl125,zip_derived_cl4,zip_derived_cl935,zip_derived_cl64,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl215]) ).
thf('288',plain,
( ( sk_ != n2 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29183]) ).
thf(zip_derived_cl928_2490,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2491,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_2492,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27678,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl27632]) ).
thf(zip_derived_cl35_2493,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121,plain,
( ( sum @ n1 @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2494,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl811,plain,
( ( sum @ n24 @ n3 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2495,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2496,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2497,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_2498,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27740,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n25 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27678,zip_derived_cl35,zip_derived_cl121,zip_derived_cl4,zip_derived_cl811,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl207]) ).
thf(zip_derived_cl28650,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n25 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl27740]) ).
thf('289',plain,
( ( sk_ != n2 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28650]) ).
thf(zip_derived_cl896_2499,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2500,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_2501,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27332,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl27296]) ).
thf(zip_derived_cl35_2502,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120,plain,
( ( sum @ n1 @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2503,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl780_2504,plain,
( ( sum @ n23 @ n3 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2505,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2506,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2507,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_2508,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27394,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n24 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27332,zip_derived_cl35,zip_derived_cl120,zip_derived_cl4,zip_derived_cl780,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl205]) ).
thf(zip_derived_cl28298,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n24 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl27394]) ).
thf('290',plain,
( ( sk_ != n2 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28298]) ).
thf(zip_derived_cl864_2509,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2510,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_2511,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27018,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl26989]) ).
thf(zip_derived_cl35_2512,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2513,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl749,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2514,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2515,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2516,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_2517,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27080,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n23 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27018,zip_derived_cl35,zip_derived_cl119,zip_derived_cl4,zip_derived_cl749,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl203]) ).
thf(zip_derived_cl27943,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n23 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl27080]) ).
thf('291',plain,
( ( sk_ != n2 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27943]) ).
thf(zip_derived_cl832_2518,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2519,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_2520,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26720,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl26692]) ).
thf(zip_derived_cl35_2521,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_2522,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2523,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2524,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2525,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2526,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_2527,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26782,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n22 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26720,zip_derived_cl35,zip_derived_cl118,zip_derived_cl4,zip_derived_cl718,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl201]) ).
thf(zip_derived_cl27606,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n22 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26782]) ).
thf('292',plain,
( ( sk_ != n2 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27606]) ).
thf(zip_derived_cl800_2528,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2529,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_2530,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26445,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl26424]) ).
thf(zip_derived_cl35_2531,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2532,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl687_2533,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2534,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2535,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2536,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_2537,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26507,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n21 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26445,zip_derived_cl35,zip_derived_cl117,zip_derived_cl4,zip_derived_cl687,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl199]) ).
thf(zip_derived_cl27271,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n21 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26507]) ).
thf('293',plain,
( ( sk_ != n2 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27271]) ).
thf(zip_derived_cl768_2538,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2539,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_2540,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26170,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl26155]) ).
thf(zip_derived_cl35_2541,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_2542,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2543,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2544,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2545,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2546,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_2547,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26232,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26170,zip_derived_cl35,zip_derived_cl116,zip_derived_cl4,zip_derived_cl656,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl197]) ).
thf(zip_derived_cl26967,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n20 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl26232]) ).
thf('294',plain,
( ( sk_ != n2 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26967]) ).
thf(zip_derived_cl736_2548,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2549,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_2550,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25900,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl25889]) ).
thf(zip_derived_cl35_2551,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2552,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl625,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2553,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2554,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2555,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_2556,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25962,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n19 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25900,zip_derived_cl35,zip_derived_cl115,zip_derived_cl4,zip_derived_cl625,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl195]) ).
thf(zip_derived_cl26671,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n19 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25962]) ).
thf('295',plain,
( ( sk_ != n2 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26671]) ).
thf(zip_derived_cl672_2557,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2558,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_2559,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25360,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl25355]) ).
thf(zip_derived_cl35_2560,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2561,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2562,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2563,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2564,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_2565,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25422,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25360,zip_derived_cl35,zip_derived_cl113,zip_derived_cl4,zip_derived_cl563,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl191]) ).
thf(zip_derived_cl26136,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n17 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25422]) ).
thf('296',plain,
( ( sk_ != n2 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26136]) ).
thf(zip_derived_cl640_2566,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2567,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_2568,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25160,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl25157]) ).
thf(zip_derived_cl35_2569,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2570,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2571,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2572,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2573,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_2574,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25222,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25160,zip_derived_cl35,zip_derived_cl112,zip_derived_cl4,zip_derived_cl532,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl189]) ).
thf(zip_derived_cl25874,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n16 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl25222]) ).
thf('297',plain,
( ( sk_ != n2 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25874]) ).
thf(zip_derived_cl608_2575,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2576,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_2577,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24941,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl24936]) ).
thf(zip_derived_cl35_2578,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2579,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2580,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2581,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2582,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_2583,plain,
( ( sum @ n4 @ n30 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25003,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24941,zip_derived_cl35,zip_derived_cl111,zip_derived_cl4,zip_derived_cl501,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl218]) ).
thf(zip_derived_cl25604,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n15 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl25003]) ).
thf('298',plain,
( ( sk_ != n2 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25604]) ).
thf(zip_derived_cl576_2584,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2585,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_2586,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24678,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl24673]) ).
thf(zip_derived_cl35_2587,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2588,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2589,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2590,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2591,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_2592,plain,
( ( sum @ n4 @ n28 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24740,plain,
( ( ( sum @ n16 @ n16 )
!= n1 )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24678,zip_derived_cl35,zip_derived_cl110,zip_derived_cl4,zip_derived_cl470,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl216]) ).
thf(zip_derived_cl25341,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n14 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl24740]) ).
thf('299',plain,
( ( sk_ != n2 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25341]) ).
thf(zip_derived_cl1524_2593,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_2594,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18365,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_cl1524,zip_derived_cl18362]) ).
thf(zip_derived_cl35_2595,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2596,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2597,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2598,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18428,plain,
( ( ( sum @ ( sum @ n1 @ n2 ) @ ( sum @ n0 @ n3 ) )
!= ( sum @ ( sum @ n1 @ n3 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18365,zip_derived_cl35,zip_derived_cl4,zip_derived_cl35,zip_derived_cl4]) ).
thf(zip_derived_cl97_2599,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2600,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_2601,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2602,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_2603,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25284,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n1 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18428,zip_derived_cl97,zip_derived_cl67,zip_derived_cl160,zip_derived_cl98,zip_derived_cl190]) ).
thf('300',plain,
( ( sk_ != n2 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25284]) ).
thf(zip_derived_cl544_2604,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2605,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_2606,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24412,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl24407]) ).
thf(zip_derived_cl35_2607,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2608,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2609,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2610,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2611,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_2612,plain,
( ( sum @ n4 @ n26 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24474,plain,
( ( ( sum @ n15 @ n15 )
!= n30 )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24412,zip_derived_cl35,zip_derived_cl109,zip_derived_cl4,zip_derived_cl439,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl214]) ).
thf(zip_derived_cl25145,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n13 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl24474]) ).
thf('301',plain,
( ( sk_ != n2 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25145]) ).
thf(zip_derived_cl512_2613,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2614,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2615,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24146,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_cl1524,zip_derived_cl24141]) ).
thf(zip_derived_cl35_2616,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2617,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2618,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2619,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2620,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_2621,plain,
( ( sum @ n4 @ n24 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24208,plain,
( ( ( sum @ n14 @ n14 )
!= n28 )
<= ( ( sk__1 = n12 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24146,zip_derived_cl35,zip_derived_cl108,zip_derived_cl4,zip_derived_cl408,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl212]) ).
thf(zip_derived_cl24925,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n12 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl24208]) ).
thf('302',plain,
( ( sk_ != n2 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24925]) ).
thf(zip_derived_cl480_2622,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2623,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_2624,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23876,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_cl1524,zip_derived_cl23871]) ).
thf(zip_derived_cl35_2625,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_2626,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2627,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2628,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2629,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2630,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_2631,plain,
( ( sum @ n4 @ n22 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23938,plain,
( ( ( sum @ n13 @ n13 )
!= n26 )
<= ( ( sk__1 = n11 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23876,zip_derived_cl35,zip_derived_cl107,zip_derived_cl4,zip_derived_cl377,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl210]) ).
thf(zip_derived_cl24662,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n11 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl23938]) ).
thf('303',plain,
( ( sk_ != n2 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24662]) ).
thf(zip_derived_cl448_2632,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2633,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_2634,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23613,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_cl1524,zip_derived_cl23610]) ).
thf(zip_derived_cl35_2635,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2636,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2637,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2638,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2639,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_2640,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23675,plain,
( ( ( sum @ n12 @ n12 )
!= n24 )
<= ( ( sk__1 = n10 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23613,zip_derived_cl35,zip_derived_cl106,zip_derived_cl4,zip_derived_cl346,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl208]) ).
thf(zip_derived_cl24396,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n10 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl23675]) ).
thf('304',plain,
( ( sk_ != n2 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24396]) ).
thf(zip_derived_cl416_2641,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2642,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_2643,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23350,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_cl1524,zip_derived_cl23345]) ).
thf(zip_derived_cl35_2644,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_2645,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2646,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2647,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2648,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2649,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_2650,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23412,plain,
( ( ( sum @ n11 @ n11 )
!= n22 )
<= ( ( sk__1 = n9 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23350,zip_derived_cl35,zip_derived_cl105,zip_derived_cl4,zip_derived_cl315,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl206]) ).
thf(zip_derived_cl24130,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n9 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl23412]) ).
thf('305',plain,
( ( sk_ != n2 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24130]) ).
thf(zip_derived_cl1524_2651,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_2652,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20181,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_cl1524,zip_derived_cl20178]) ).
thf(zip_derived_cl35_2653,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_2654,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2655,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_2656,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2657,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2658,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2659,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20243,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ n4 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20181,zip_derived_cl35,zip_derived_cl100,zip_derived_cl4,zip_derived_cl160,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98]) ).
thf(zip_derived_cl256_2660,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_2661,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24089,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n4 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20243,zip_derived_cl256,zip_derived_cl196]) ).
thf('306',plain,
( ( sk_ != n2 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24089]) ).
thf(zip_derived_cl1524_2662,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_2663,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19432,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_cl1524,zip_derived_cl19429]) ).
thf(zip_derived_cl35_2664,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2665,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_2666,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2667,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2668,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2669,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19494,plain,
( ( ( sum @ n5 @ n5 )
!= ( sum @ n4 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19432,zip_derived_cl35,zip_derived_cl99,zip_derived_cl4,zip_derived_cl129,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98]) ).
thf(zip_derived_cl224_2670,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_2671,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23872,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n3 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19494,zip_derived_cl224,zip_derived_cl194]) ).
thf('307',plain,
( ( sk_ != n2 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23872]) ).
thf(zip_derived_cl384_2672,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2673,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_2674,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22865,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_cl1524,zip_derived_cl22862]) ).
thf(zip_derived_cl35_2675,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104,plain,
( ( sum @ n1 @ n9 )
= n10 ),
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_cl284,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2677,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2678,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2679,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_2680,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22927,plain,
( ( ( sum @ n10 @ n10 )
!= n20 )
<= ( ( sk__1 = n8 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22865,zip_derived_cl35,zip_derived_cl104,zip_derived_cl4,zip_derived_cl284,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl204]) ).
thf(zip_derived_cl23860,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n8 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl22927]) ).
thf('308',plain,
( ( sk_ != n2 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23860]) ).
thf(zip_derived_cl352_2681,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2682,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_2683,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22236,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_cl1524,zip_derived_cl22233]) ).
thf(zip_derived_cl35_2684,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2685,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2686,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2687,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2688,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_2689,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22298,plain,
( ( ( sum @ n9 @ n9 )
!= n18 )
<= ( ( sk__1 = n7 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22236,zip_derived_cl35,zip_derived_cl103,zip_derived_cl4,zip_derived_cl253,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl202]) ).
thf(zip_derived_cl23599,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n7 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl22298]) ).
thf('309',plain,
( ( sk_ != n2 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23599]) ).
thf(zip_derived_cl1524_2690,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_2691,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29608,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl29595]) ).
thf(zip_derived_cl35_2692,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2693,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2694,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2695,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2696,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2697,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_2698,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29672,plain,
( ( ( sum @ n2 @ ( sum @ n30 @ n3 ) )
!= n4 )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29608,zip_derived_cl35,zip_derived_cl96,zip_derived_cl4,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl188]) ).
thf(zip_derived_cl997,plain,
( ( sum @ n30 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_2699,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29978,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n0 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29672,zip_derived_cl997,zip_derived_cl128]) ).
thf('310',plain,
( ( sk_ != n2 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29978]) ).
thf(zip_derived_cl1024_2700,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1524_2701,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_2702,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28749,plain,
( ( ( sum @ ( sum @ ( pred @ n2 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n2 ) ) )
!= ( sum @ ( sum @ ( pred @ n2 ) @ ( succ @ n2 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1524,zip_derived_cl28682]) ).
thf(zip_derived_cl35_2703,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_2704,plain,
( ( sum @ n1 @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2705,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl904_2706,plain,
( ( sum @ n27 @ n3 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl35_2707,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2708,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2709,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_2710,plain,
( ( sum @ n4 @ n25 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28811,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n28 )
& ( sk_ = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28749,zip_derived_cl35,zip_derived_cl124,zip_derived_cl4,zip_derived_cl904,zip_derived_cl35,zip_derived_cl4,zip_derived_cl98,zip_derived_cl213]) ).
thf(zip_derived_cl30007,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n28 )
& ( sk_ = n2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl28811]) ).
thf('311',plain,
( ( sk_ != n2 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30007]) ).
thf(zip_derived_cl1493_2711,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1524_2712,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_2713,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_cl2129,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_cl1524,zip_derived_cl0]) ).
thf(zip_derived_cl4_2714,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2715,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2133,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_cl2129,zip_derived_cl4,zip_derived_cl4]) ).
thf(zip_derived_cl2889,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_cl1493,zip_derived_cl2133]) ).
thf(zip_derived_cl4_2716,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4_2717,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2955,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_cl2889,zip_derived_cl4,zip_derived_cl4]) ).
thf('312',plain,
( ( sk_ != n2 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2955]) ).
thf(zip_derived_cl992_2718,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_2719,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2720,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24161,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_cl1539,zip_derived_cl24141]) ).
thf(zip_derived_cl50_2721,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2722,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_2723,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_2724,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24224,plain,
( ( ( sum @ ( sum @ n16 @ n13 ) @ ( sum @ n11 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24161,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl573,plain,
( ( sum @ n16 @ n13 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423,plain,
( ( sum @ n11 @ n18 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_2725,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181,plain,
( ( sum @ n3 @ n24 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26946,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24224,zip_derived_cl573,zip_derived_cl423,zip_derived_cl578,zip_derived_cl181]) ).
thf(zip_derived_cl29544,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n12 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26946]) ).
thf('313',plain,
( ( sk__1 != n12 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29544]) ).
thf(zip_derived_cl976,plain,
( ( sum @ n29 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_2726,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2727,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24174,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl24141]) ).
thf(zip_derived_cl63_2728,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_2729,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2730,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_2731,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24237,plain,
( ( ( sum @ ( sum @ n29 @ n13 ) @ n11 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24174,zip_derived_cl63,zip_derived_cl32,zip_derived_cl405,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29447,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl24237]) ).
thf(zip_derived_cl416_2732,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_2733,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29448,plain,
( ( n22
!= ( sum @ n29 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29447,zip_derived_cl416,zip_derived_cl963]) ).
thf(zip_derived_cl987,plain,
( ( sum @ n29 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29502,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n12 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29448,zip_derived_cl987]) ).
thf('314',plain,
( ( sk__1 != n12 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29502]) ).
thf(zip_derived_cl960_2734,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_2735,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2736,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24160,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_cl1538,zip_derived_cl24141]) ).
thf(zip_derived_cl49_2737,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2738,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_2739,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_2740,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24223,plain,
( ( ( sum @ ( sum @ n15 @ n13 ) @ ( sum @ n11 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24160,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl542,plain,
( ( sum @ n15 @ n13 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422,plain,
( ( sum @ n11 @ n17 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_2741,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_2742,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26945,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24223,zip_derived_cl542,zip_derived_cl422,zip_derived_cl546,zip_derived_cl119]) ).
thf(zip_derived_cl29016,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n12 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26945]) ).
thf('315',plain,
( ( sk__1 != n12 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29016]) ).
thf(zip_derived_cl956_2743,plain,
( ( sum @ n28 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_2744,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2745,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24158,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_cl1536,zip_derived_cl24141]) ).
thf(zip_derived_cl47_2746,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2747,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_2748,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_2749,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24221,plain,
( ( ( sum @ ( sum @ n13 @ n13 ) @ ( sum @ n11 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24158,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl480_2750,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420,plain,
( ( sum @ n11 @ n15 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_2751,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26943,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ n28 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24221,zip_derived_cl480,zip_derived_cl420,zip_derived_cl482]) ).
thf(zip_derived_cl28974,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl956,zip_derived_cl26943]) ).
thf(zip_derived_cl896_2752,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28975,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n12 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28974,zip_derived_cl896]) ).
thf('316',plain,
( ( sk__1 != n12 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28975]) ).
thf(zip_derived_cl894_2753,plain,
( ( sum @ n26 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_2754,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2755,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24157,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_cl1535,zip_derived_cl24141]) ).
thf(zip_derived_cl46_2756,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2757,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_2758,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_2759,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24220,plain,
( ( ( sum @ ( sum @ n12 @ n13 ) @ ( sum @ n11 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24157,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl449,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_2760,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26939,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n26 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24220,zip_derived_cl449,zip_derived_cl419,zip_derived_cl450]) ).
thf(zip_derived_cl28263,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl894,zip_derived_cl26939]) ).
thf(zip_derived_cl864_2761,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28264,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n12 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28263,zip_derived_cl864]) ).
thf('317',plain,
( ( sk__1 != n12 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28264]) ).
thf(zip_derived_cl866_2762,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_2763,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2764,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24170,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n13 ) @ ( sum @ n11 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl24141]) ).
thf(zip_derived_cl59_2765,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2766,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2767,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_2768,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24233,plain,
( ( ( sum @ ( sum @ n25 @ n13 ) @ ( sum @ n11 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24170,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl432_2769,plain,
( ( sum @ n11 @ n27 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27170,plain,
( ( ( sum @ ( sum @ n25 @ n13 ) @ n7 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24233,zip_derived_cl432]) ).
thf(zip_derived_cl27983,plain,
( ( ( sum @ ( sum @ n25 @ n13 ) @ n7 )
!= ( sum @ n21 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl27170]) ).
thf(zip_derived_cl852_2770,plain,
( ( sum @ n25 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_2771,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl739,plain,
( ( sum @ n21 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28008,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n12 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27983,zip_derived_cl852,zip_derived_cl288,zip_derived_cl739]) ).
thf('318',plain,
( ( sk__1 != n12 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28008]) ).
thf(zip_derived_cl834_2772,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_2773,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2774,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24169,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_cl1547,zip_derived_cl24141]) ).
thf(zip_derived_cl58_2775,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2776,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2777,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_2778,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24232,plain,
( ( ( sum @ ( sum @ n24 @ n13 ) @ ( sum @ n11 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24169,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl431,plain,
( ( sum @ n11 @ n26 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27169,plain,
( ( ( sum @ ( sum @ n24 @ n13 ) @ n6 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24232,zip_derived_cl431]) ).
thf(zip_derived_cl27644,plain,
( ( ( sum @ ( sum @ n24 @ n13 ) @ n6 )
!= ( sum @ n19 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl27169]) ).
thf(zip_derived_cl821,plain,
( ( sum @ n24 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_2779,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677,plain,
( ( sum @ n19 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27666,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n12 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27644,zip_derived_cl821,zip_derived_cl256,zip_derived_cl677]) ).
thf('319',plain,
( ( sk__1 != n12 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27666]) ).
thf(zip_derived_cl802_2780,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_2781,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2782,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24168,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_cl1546,zip_derived_cl24141]) ).
thf(zip_derived_cl57_2783,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2784,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2785,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_2786,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24231,plain,
( ( ( sum @ ( sum @ n23 @ n13 ) @ ( sum @ n11 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24168,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl430,plain,
( ( sum @ n11 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27168,plain,
( ( ( sum @ ( sum @ n23 @ n13 ) @ n5 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24231,zip_derived_cl430]) ).
thf(zip_derived_cl27308,plain,
( ( ( sum @ ( sum @ n23 @ n13 ) @ n5 )
!= ( sum @ n17 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl27168]) ).
thf(zip_derived_cl790_2787,plain,
( ( sum @ n23 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_2788,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615_2789,plain,
( ( sum @ n17 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27326,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n12 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27308,zip_derived_cl790,zip_derived_cl224,zip_derived_cl615]) ).
thf('320',plain,
( ( sk_ != n24 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27326]) ).
thf(zip_derived_cl800_2790,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_2791,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2792,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24155,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_cl1533,zip_derived_cl24141]) ).
thf(zip_derived_cl44_2793,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2794,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417_2795,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_2796,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_2797,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_2798,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24217,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n22 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24155,zip_derived_cl44,zip_derived_cl387,zip_derived_cl13,zip_derived_cl417,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl27256,plain,
( ( n15
!= ( sum @ n22 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl24217]) ).
thf(zip_derived_cl770_2799,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27274,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n12 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27256,zip_derived_cl770]) ).
thf('321',plain,
( ( sk__1 != n12 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27274]) ).
thf(zip_derived_cl1545_2800,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2801,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24167,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_cl1545,zip_derived_cl24141]) ).
thf(zip_derived_cl56_2802,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_2803,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2804,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_2805,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24230,plain,
( ( ( sum @ ( sum @ n22 @ n13 ) @ ( sum @ n11 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24167,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl759,plain,
( ( sum @ n22 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429,plain,
( ( sum @ n11 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_2806,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_2807,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553_2808,plain,
( ( sum @ n15 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27166,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n12 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24230,zip_derived_cl759,zip_derived_cl429,zip_derived_cl192,zip_derived_cl770,zip_derived_cl553]) ).
thf('322',plain,
( ( sk__1 != n12 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27166]) ).
thf(zip_derived_cl1544_2809,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2810,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24166,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_cl1544,zip_derived_cl24141]) ).
thf(zip_derived_cl55_2811,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2812,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2813,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_2814,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24229,plain,
( ( ( sum @ ( sum @ n21 @ n13 ) @ ( sum @ n11 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24166,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl728,plain,
( ( sum @ n21 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_2815,plain,
( ( sum @ n11 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_2816,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_2817,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491,plain,
( ( sum @ n13 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27164,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n12 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24229,zip_derived_cl728,zip_derived_cl428,zip_derived_cl160,zip_derived_cl738,zip_derived_cl491]) ).
thf('323',plain,
( ( sk__1 != n12 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27164]) ).
thf(zip_derived_cl768_2818,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_2819,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2820,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24154,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_cl1532,zip_derived_cl24141]) ).
thf(zip_derived_cl43_2821,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2822,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_2823,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_2824,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_2825,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_2826,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24216,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n20 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24154,zip_derived_cl43,zip_derived_cl356,zip_derived_cl12,zip_derived_cl416,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl26954,plain,
( ( n13
!= ( sum @ n20 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl24216]) ).
thf(zip_derived_cl708,plain,
( ( sum @ n20 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26970,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n12 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26954,zip_derived_cl708]) ).
thf('324',plain,
( ( sk__1 != n12 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26970]) ).
thf(zip_derived_cl1543_2827,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2828,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24165,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_cl1543,zip_derived_cl24141]) ).
thf(zip_derived_cl54_2829,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2830,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2831,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_2832,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24228,plain,
( ( ( sum @ ( sum @ n20 @ n13 ) @ ( sum @ n11 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24165,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl697_2833,plain,
( ( sum @ n20 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427,plain,
( ( sum @ n11 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_2834,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_2835,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_2836,plain,
( ( sum @ n11 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26952,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n12 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24228,zip_derived_cl697,zip_derived_cl427,zip_derived_cl128,zip_derived_cl706,zip_derived_cl429]) ).
thf('325',plain,
( ( sk__1 != n12 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26952]) ).
thf(zip_derived_cl1542_2837,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2838,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24164,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_cl1542,zip_derived_cl24141]) ).
thf(zip_derived_cl53_2839,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2840,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2841,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_2842,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24227,plain,
( ( ( sum @ ( sum @ n19 @ n13 ) @ ( sum @ n11 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24164,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl666,plain,
( ( sum @ n19 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_2843,plain,
( ( sum @ n11 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2844,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_2845,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367,plain,
( ( sum @ n9 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26950,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n12 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24227,zip_derived_cl666,zip_derived_cl426,zip_derived_cl96,zip_derived_cl674,zip_derived_cl367]) ).
thf('326',plain,
( ( sk__1 != n12 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26950]) ).
thf(zip_derived_cl1541_2846,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2847,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24163,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_cl1541,zip_derived_cl24141]) ).
thf(zip_derived_cl52_2848,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2849,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_2850,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_2851,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24226,plain,
( ( ( sum @ ( sum @ n18 @ n13 ) @ ( sum @ n11 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24163,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl635,plain,
( ( sum @ n18 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425,plain,
( ( sum @ n11 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2852,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_2853,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305,plain,
( ( sum @ n7 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26948,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n12 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24226,zip_derived_cl635,zip_derived_cl425,zip_derived_cl64,zip_derived_cl642,zip_derived_cl305]) ).
thf('327',plain,
( ( sk__1 != n12 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26948]) ).
thf(zip_derived_cl736_2854,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_2855,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2856,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24153,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_cl1531,zip_derived_cl24141]) ).
thf(zip_derived_cl42_2857,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_2858,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_2859,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_2860,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_2861,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_2862,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24215,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n18 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24153,zip_derived_cl42,zip_derived_cl325,zip_derived_cl11,zip_derived_cl415,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl26660,plain,
( ( n11
!= ( sum @ n18 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl24215]) ).
thf(zip_derived_cl646,plain,
( ( sum @ n18 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26676,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n12 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26660,zip_derived_cl646]) ).
thf('328',plain,
( ( sk__1 != n12 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26676]) ).
thf(zip_derived_cl704_2863,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_2864,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2865,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24152,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_cl1530,zip_derived_cl24141]) ).
thf(zip_derived_cl41_2866,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2867,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_2868,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_2869,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_2870,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24214,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n16 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24152,zip_derived_cl41,zip_derived_cl294,zip_derived_cl10,zip_derived_cl414,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290]) ).
thf(zip_derived_cl26397,plain,
( ( n9
!= ( sum @ n16 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl24214]) ).
thf(zip_derived_cl584,plain,
( ( sum @ n16 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26411,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n12 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26397,zip_derived_cl584]) ).
thf('329',plain,
( ( sk__1 != n12 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26411]) ).
thf(zip_derived_cl672_2871,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_2872,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2873,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24151,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_cl1529,zip_derived_cl24141]) ).
thf(zip_derived_cl40_2874,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2875,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_2876,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_2877,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_2878,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24213,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n14 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24151,zip_derived_cl40,zip_derived_cl263,zip_derived_cl9,zip_derived_cl413,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258]) ).
thf(zip_derived_cl522,plain,
( ( sum @ n14 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25132,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24213,zip_derived_cl522]) ).
thf(zip_derived_cl26133,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n12 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25132]) ).
thf('330',plain,
( ( sk__1 != n12 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26133]) ).
thf(zip_derived_cl640_2879,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_2880,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2881,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24150,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_cl1528,zip_derived_cl24141]) ).
thf(zip_derived_cl39_2882,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_2883,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2884,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_2885,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_2886,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_2887,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_2888,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24212,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n12 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24150,zip_derived_cl39,zip_derived_cl232,zip_derived_cl8,zip_derived_cl412,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226]) ).
thf(zip_derived_cl460,plain,
( ( sum @ n12 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25131,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24212,zip_derived_cl460]) ).
thf(zip_derived_cl25873,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n12 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl25131]) ).
thf('331',plain,
( ( sk__1 != n12 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25873]) ).
thf(zip_derived_cl608_2889,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_2890,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2891,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24149,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_cl1527,zip_derived_cl24141]) ).
thf(zip_derived_cl38_2892,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_2893,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2894,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_2895,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_2896,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_2897,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_2898,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398,plain,
( ( sum @ n10 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24211,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n12 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24149,zip_derived_cl38,zip_derived_cl201,zip_derived_cl7,zip_derived_cl411,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl398]) ).
thf(zip_derived_cl25601,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n12 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl24211]) ).
thf('332',plain,
( ( sk__1 != n12 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25601]) ).
thf(zip_derived_cl576_2899,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_2900,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2901,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24148,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_cl1526,zip_derived_cl24141]) ).
thf(zip_derived_cl37_2902,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2903,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_2904,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_2905,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_2906,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2907,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336,plain,
( ( sum @ n8 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24210,plain,
( ( ( sum @ n16 @ n16 )
!= n1 )
<= ( ( sk__1 = n12 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24148,zip_derived_cl37,zip_derived_cl170,zip_derived_cl6,zip_derived_cl410,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl336]) ).
thf(zip_derived_cl25339,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n12 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl24210]) ).
thf('333',plain,
( ( sk__1 != n12 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25339]) ).
thf(zip_derived_cl544_2908,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_2909,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2910,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24147,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_cl1525,zip_derived_cl24141]) ).
thf(zip_derived_cl36_2911,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_2912,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2913,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2914,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2915,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2916,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274,plain,
( ( sum @ n6 @ n24 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24209,plain,
( ( ( sum @ n15 @ n15 )
!= n30 )
<= ( ( sk__1 = n12 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24147,zip_derived_cl36,zip_derived_cl139,zip_derived_cl5,zip_derived_cl409,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl274]) ).
thf(zip_derived_cl25144,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n12 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl24209]) ).
thf('334',plain,
( ( sk__1 != n12 )
| ( sk_ != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25144]) ).
thf(zip_derived_cl1007,plain,
( ( sum @ n30 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_2917,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2918,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24144,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_cl1522,zip_derived_cl24141]) ).
thf(zip_derived_cl33_2919,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2920,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_2921,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_2922,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_2923,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24206,plain,
( ( ( sum @ ( sum @ n30 @ n13 ) @ n12 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24144,zip_derived_cl33,zip_derived_cl2,zip_derived_cl406,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29805,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1007,zip_derived_cl24206]) ).
thf(zip_derived_cl448_2924,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_2925,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2926,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29807,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n12 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29805,zip_derived_cl448,zip_derived_cl995,zip_derived_cl88]) ).
thf('335',plain,
( ( sk_ != n0 )
| ( sk__1 != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29807]) ).
thf(zip_derived_cl1018,plain,
( ( sum @ n30 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_2927,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2928,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24159,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_cl1537,zip_derived_cl24141]) ).
thf(zip_derived_cl48_2929,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2930,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_2931,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_2932,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24222,plain,
( ( ( sum @ ( sum @ n14 @ n13 ) @ ( sum @ n11 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24159,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl511,plain,
( ( sum @ n14 @ n13 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421,plain,
( ( sum @ n11 @ n16 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_2933,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26944,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ n30 @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24222,zip_derived_cl511,zip_derived_cl421,zip_derived_cl514]) ).
thf(zip_derived_cl29919,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1018,zip_derived_cl26944]) ).
thf(zip_derived_cl928_2934,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29921,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n12 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29919,zip_derived_cl928]) ).
thf('336',plain,
( ( sk__1 != n12 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29921]) ).
thf(zip_derived_cl1024_2935,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_2936,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24141_2937,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_cl418,zip_derived_cl11521]) ).
thf(zip_derived_cl24162,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_cl1540,zip_derived_cl24141]) ).
thf(zip_derived_cl51_2938,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2939,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_2940,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_2941,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24225,plain,
( ( ( sum @ ( sum @ n17 @ n13 ) @ ( sum @ n11 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n24 ) )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24162,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl604_2942,plain,
( ( sum @ n17 @ n13 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_2943,plain,
( ( sum @ n11 @ n19 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_2944,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2945,plain,
( ( sum @ n5 @ n24 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26947,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24225,zip_derived_cl604,zip_derived_cl424,zip_derived_cl610,zip_derived_cl243]) ).
thf(zip_derived_cl29993,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n12 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl26947]) ).
thf('337',plain,
( ( sk__1 != n12 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29993]) ).
thf(zip_derived_cl1534_2946,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl4991_2947,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_cl1650,zip_derived_cl14,zip_derived_cl14]) ).
thf(zip_derived_cl5004,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_cl1534,zip_derived_cl4991]) ).
thf(zip_derived_cl14_2948,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_2949,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5066,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_cl5004,zip_derived_cl14,zip_derived_cl14]) ).
thf('338',plain,
( ( sk__1 != n12 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5066]) ).
thf(zip_derived_cl1525_2950,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_2951,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29609,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl29595]) ).
thf(zip_derived_cl36_2952,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_2953,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2954,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2955,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2956,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2957,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29673,plain,
( ( ( sum @ n3 @ ( sum @ n30 @ n4 ) )
!= n6 )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29609,zip_derived_cl36,zip_derived_cl127,zip_derived_cl5,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl250]) ).
thf(zip_derived_cl998,plain,
( ( sum @ n30 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_2958,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29980,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n0 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29673,zip_derived_cl998,zip_derived_cl160]) ).
thf('339',plain,
( ( sk_ != n3 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29980]) ).
thf(zip_derived_cl1525_2959,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_2960,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29301,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl29297]) ).
thf(zip_derived_cl36_2961,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_2962,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2963,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2964,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2965,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2966,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_2967,plain,
( ( sum @ n6 @ n29 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29363,plain,
( ( ( sum @ n2 @ ( sum @ n29 @ n4 ) )
!= n4 )
<= ( ( sk__1 = n30 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29301,zip_derived_cl36,zip_derived_cl126,zip_derived_cl5,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl279]) ).
thf(zip_derived_cl967,plain,
( ( sum @ n29 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_2968,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29516,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n30 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29363,zip_derived_cl967,zip_derived_cl128]) ).
thf('340',plain,
( ( sk_ != n3 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29516]) ).
thf(zip_derived_cl1525_2969,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_2970,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29122,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl29056]) ).
thf(zip_derived_cl36_2971,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_2972,plain,
( ( sum @ n2 @ n30 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2973,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl936_2974,plain,
( ( sum @ n28 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2975,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2976,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2977,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2978,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_2979,plain,
( ( sum @ n6 @ n27 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29185,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n29 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29122,zip_derived_cl36,zip_derived_cl156,zip_derived_cl5,zip_derived_cl936,zip_derived_cl96,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl277]) ).
thf('341',plain,
( ( sk_ != n3 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29185]) ).
thf(zip_derived_cl960_2980,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_2981,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_2982,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27679,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl27632]) ).
thf(zip_derived_cl36_2983,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_2984,plain,
( ( sum @ n2 @ n26 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2985,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl812,plain,
( ( sum @ n24 @ n4 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2986,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2987,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2988,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_2989,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27741,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n25 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27679,zip_derived_cl36,zip_derived_cl152,zip_derived_cl5,zip_derived_cl812,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl269]) ).
thf(zip_derived_cl29022,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n25 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl27741]) ).
thf('342',plain,
( ( sk_ != n3 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29022]) ).
thf(zip_derived_cl1525_2990,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_2991,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28750,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl28682]) ).
thf(zip_derived_cl36_2992,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_2993,plain,
( ( sum @ n2 @ n29 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2994,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl905_2995,plain,
( ( sum @ n27 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2996,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_2997,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_2998,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2999,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275,plain,
( ( sum @ n6 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28812,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n28 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28750,zip_derived_cl36,zip_derived_cl155,zip_derived_cl5,zip_derived_cl905,zip_derived_cl64,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl275]) ).
thf('343',plain,
( ( sk_ != n3 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28812]) ).
thf(zip_derived_cl928_3000,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3001,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_3002,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27333,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl27296]) ).
thf(zip_derived_cl36_3003,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_3004,plain,
( ( sum @ n2 @ n25 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3005,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl781_3006,plain,
( ( sum @ n23 @ n4 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3007,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3008,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3009,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27395,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n24 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27333,zip_derived_cl36,zip_derived_cl151,zip_derived_cl5,zip_derived_cl781,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl267]) ).
thf(zip_derived_cl28648,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n24 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl27395]) ).
thf('344',plain,
( ( sk_ != n3 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28648]) ).
thf(zip_derived_cl896_3010,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3011,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_3012,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27019,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl26989]) ).
thf(zip_derived_cl36_3013,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_3014,plain,
( ( sum @ n2 @ n24 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3015,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl750,plain,
( ( sum @ n22 @ n4 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3016,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3017,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3018,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27081,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n23 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27019,zip_derived_cl36,zip_derived_cl150,zip_derived_cl5,zip_derived_cl750,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl265]) ).
thf(zip_derived_cl28296,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n23 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl27081]) ).
thf('345',plain,
( ( sk_ != n3 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28296]) ).
thf(zip_derived_cl864_3019,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3020,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_3021,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26721,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl26692]) ).
thf(zip_derived_cl36_3022,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_3023,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3024,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3025,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3026,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3027,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_3028,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26783,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n22 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26721,zip_derived_cl36,zip_derived_cl149,zip_derived_cl5,zip_derived_cl719,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl263]) ).
thf(zip_derived_cl27941,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n22 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26783]) ).
thf('346',plain,
( ( sk_ != n3 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27941]) ).
thf(zip_derived_cl832_3029,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3030,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_3031,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26446,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl26424]) ).
thf(zip_derived_cl36_3032,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_3033,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3034,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl688,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3035,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3036,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3037,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_3038,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26508,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n21 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26446,zip_derived_cl36,zip_derived_cl148,zip_derived_cl5,zip_derived_cl688,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl261]) ).
thf(zip_derived_cl27604,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n21 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26508]) ).
thf('347',plain,
( ( sk_ != n3 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27604]) ).
thf(zip_derived_cl800_3039,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3040,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_3041,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26171,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl26155]) ).
thf(zip_derived_cl36_3042,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_3043,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3044,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3045,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3046,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3047,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26233,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26171,zip_derived_cl36,zip_derived_cl147,zip_derived_cl5,zip_derived_cl657,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl259]) ).
thf(zip_derived_cl27268,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n20 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26233]) ).
thf('348',plain,
( ( sk_ != n3 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27268]) ).
thf(zip_derived_cl768_3048,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3049,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_3050,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25901,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl25889]) ).
thf(zip_derived_cl36_3051,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_3052,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3053,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3054,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3055,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3056,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_3057,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25963,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n19 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25901,zip_derived_cl36,zip_derived_cl146,zip_derived_cl5,zip_derived_cl626,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl257]) ).
thf(zip_derived_cl26964,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n19 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl25963]) ).
thf('349',plain,
( ( sk_ != n3 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26964]) ).
thf(zip_derived_cl704_3058,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3059,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_3060,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25361,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl25355]) ).
thf(zip_derived_cl36_3061,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_3062,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3063,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl564,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3064,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3065,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3066,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_3067,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25423,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25361,zip_derived_cl36,zip_derived_cl144,zip_derived_cl5,zip_derived_cl564,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl253]) ).
thf(zip_derived_cl26402,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n17 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25423]) ).
thf('350',plain,
( ( sk_ != n3 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26402]) ).
thf(zip_derived_cl672_3068,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3069,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_3070,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25161,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl25157]) ).
thf(zip_derived_cl36_3071,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_3072,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3073,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3074,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3075,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3076,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25223,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25161,zip_derived_cl36,zip_derived_cl143,zip_derived_cl5,zip_derived_cl533,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl251]) ).
thf(zip_derived_cl26135,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n16 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25223]) ).
thf('351',plain,
( ( sk_ != n3 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26135]) ).
thf(zip_derived_cl640_3077,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3078,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_3079,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24942,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl24936]) ).
thf(zip_derived_cl36_3080,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_3081,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3082,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3083,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3084,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3085,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_3086,plain,
( ( sum @ n6 @ n30 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25004,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24942,zip_derived_cl36,zip_derived_cl142,zip_derived_cl5,zip_derived_cl502,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl280]) ).
thf(zip_derived_cl25871,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n15 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl25004]) ).
thf('352',plain,
( ( sk_ != n3 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25871]) ).
thf(zip_derived_cl608_3087,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3088,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_3089,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24679,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl24673]) ).
thf(zip_derived_cl36_3090,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_3091,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3092,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3093,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3094,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3095,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_3096,plain,
( ( sum @ n6 @ n28 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24741,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24679,zip_derived_cl36,zip_derived_cl141,zip_derived_cl5,zip_derived_cl471,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl278]) ).
thf(zip_derived_cl25603,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n14 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl24741]) ).
thf('353',plain,
( ( sk_ != n3 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25603]) ).
thf(zip_derived_cl1525_3097,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_3098,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18775,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_cl1525,zip_derived_cl18771]) ).
thf(zip_derived_cl36_3099,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3100,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3101,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3102,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18838,plain,
( ( ( sum @ ( sum @ n2 @ n3 ) @ ( sum @ n1 @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18775,zip_derived_cl36,zip_derived_cl5,zip_derived_cl36,zip_derived_cl5]) ).
thf(zip_derived_cl129_3103,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_3104,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_3105,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3106,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25499,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n2 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18838,zip_derived_cl129,zip_derived_cl99,zip_derived_cl224,zip_derived_cl130,zip_derived_cl254]) ).
thf('354',plain,
( ( sk_ != n3 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25499]) ).
thf(zip_derived_cl576_3107,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3108,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_3109,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24413,plain,
( ( ( sum @ ( sum @ ( pred @ n3 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n3 ) ) )
!= ( sum @ ( sum @ ( pred @ n3 ) @ ( succ @ n3 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl24407]) ).
thf(zip_derived_cl36_3110,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_3111,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3112,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3113,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3114,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3115,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276,plain,
( ( sum @ n6 @ n26 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24475,plain,
( ( ( sum @ n16 @ n16 )
!= n1 )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24413,zip_derived_cl36,zip_derived_cl140,zip_derived_cl5,zip_derived_cl440,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl276]) ).
thf(zip_derived_cl25340,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n13 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl24475]) ).
thf('355',plain,
( ( sk_ != n3 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25340]) ).
thf(zip_derived_cl1525_3116,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_3117,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18366,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_cl1525,zip_derived_cl18362]) ).
thf(zip_derived_cl36_3118,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3119,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3120,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3121,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18429,plain,
( ( ( sum @ ( sum @ n2 @ n2 ) @ ( sum @ n0 @ n4 ) )
!= ( sum @ ( sum @ n2 @ n4 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18366,zip_derived_cl36,zip_derived_cl5,zip_derived_cl36,zip_derived_cl5]) ).
thf(zip_derived_cl128_3122,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3123,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_3124,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3125,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_3126,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25286,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n1 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18429,zip_derived_cl128,zip_derived_cl68,zip_derived_cl192,zip_derived_cl130,zip_derived_cl252]) ).
thf('356',plain,
( ( sk_ != n3 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25286]) ).
thf(zip_derived_cl512_3127,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3128,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_3129,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23877,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_cl1525,zip_derived_cl23871]) ).
thf(zip_derived_cl36_3130,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_3131,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3132,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3133,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3134,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3135,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272,plain,
( ( sum @ n6 @ n22 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23939,plain,
( ( ( sum @ n14 @ n14 )
!= n28 )
<= ( ( sk__1 = n11 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23877,zip_derived_cl36,zip_derived_cl138,zip_derived_cl5,zip_derived_cl378,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl272]) ).
thf(zip_derived_cl24924,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n11 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl23939]) ).
thf('357',plain,
( ( sk_ != n3 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24924]) ).
thf(zip_derived_cl1525_3136,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_3137,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22237,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_cl1525,zip_derived_cl22233]) ).
thf(zip_derived_cl36_3138,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3139,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3140,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_3141,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3142,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3143,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3144,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22299,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ n6 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22237,zip_derived_cl36,zip_derived_cl134,zip_derived_cl5,zip_derived_cl254,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130]) ).
thf(zip_derived_cl384_3145,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24913,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n7 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22299,zip_derived_cl384,zip_derived_cl264]) ).
thf('358',plain,
( ( sk_ != n3 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24913]) ).
thf(zip_derived_cl480_3146,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3147,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_3148,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23614,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_cl1525,zip_derived_cl23610]) ).
thf(zip_derived_cl36_3149,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_3150,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3151,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3152,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3153,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3154,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270,plain,
( ( sum @ n6 @ n20 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23676,plain,
( ( ( sum @ n13 @ n13 )
!= n26 )
<= ( ( sk__1 = n10 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23614,zip_derived_cl36,zip_derived_cl137,zip_derived_cl5,zip_derived_cl347,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl270]) ).
thf(zip_derived_cl24661,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n10 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl480,zip_derived_cl23676]) ).
thf('359',plain,
( ( sk_ != n3 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24661]) ).
thf(zip_derived_cl448_3155,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3156,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3157,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23351,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_cl1525,zip_derived_cl23345]) ).
thf(zip_derived_cl36_3158,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_3159,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3160,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3161,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3162,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3163,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23413,plain,
( ( ( sum @ n12 @ n12 )
!= n24 )
<= ( ( sk__1 = n9 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23351,zip_derived_cl36,zip_derived_cl136,zip_derived_cl5,zip_derived_cl316,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl268]) ).
thf(zip_derived_cl24395,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n9 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl23413]) ).
thf('360',plain,
( ( sk_ != n3 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24395]) ).
thf(zip_derived_cl416_3164,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1525_3165,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_3166,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22866,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_cl1525,zip_derived_cl22862]) ).
thf(zip_derived_cl36_3167,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3168,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3169,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3170,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3171,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3172,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22928,plain,
( ( ( sum @ n11 @ n11 )
!= n22 )
<= ( ( sk__1 = n8 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22866,zip_derived_cl36,zip_derived_cl135,zip_derived_cl5,zip_derived_cl285,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130,zip_derived_cl266]) ).
thf(zip_derived_cl24129,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n8 )
& ( sk_ = n3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl22928]) ).
thf('361',plain,
( ( sk_ != n3 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24129]) ).
thf(zip_derived_cl1525_3173,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_3174,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20182,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_cl1525,zip_derived_cl20178]) ).
thf(zip_derived_cl36_3175,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_3176,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3177,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl36_3178,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3179,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_3180,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20244,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ n6 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20182,zip_derived_cl36,zip_derived_cl131,zip_derived_cl5,zip_derived_cl161,zip_derived_cl36,zip_derived_cl5,zip_derived_cl130]) ).
thf(zip_derived_cl288_3181,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_3182,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24099,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n4 )
& ( sk_ = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20244,zip_derived_cl288,zip_derived_cl258]) ).
thf('362',plain,
( ( sk_ != n3 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24099]) ).
thf(zip_derived_cl1494_3183,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1525_3184,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_3185,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_cl2136,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_cl1525,zip_derived_cl0]) ).
thf(zip_derived_cl5_3186,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3187,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2141,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_cl2136,zip_derived_cl5,zip_derived_cl5]) ).
thf(zip_derived_cl2999,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_cl1494,zip_derived_cl2141]) ).
thf(zip_derived_cl5_3188,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5_3189,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3067,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_cl2999,zip_derived_cl5,zip_derived_cl5]) ).
thf('363',plain,
( ( sk_ != n3 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3067]) ).
thf(zip_derived_cl1000_3190,plain,
( ( sum @ n30 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_3191,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3192,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19445,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_cl1537,zip_derived_cl19429]) ).
thf(zip_derived_cl48_3193,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3194,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_3195,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3196,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19508,plain,
( ( ( sum @ ( sum @ n14 @ n4 ) @ ( sum @ n2 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19445,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl502_3197,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_3198,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_3199,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25581,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n30 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19508,zip_derived_cl502,zip_derived_cl142,zip_derived_cl514]) ).
thf(zip_derived_cl29751,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1000,zip_derived_cl25581]) ).
thf(zip_derived_cl640_3200,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29754,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n3 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29751,zip_derived_cl640]) ).
thf('364',plain,
( ( sk__1 != n3 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29754]) ).
thf(zip_derived_cl998_3201,plain,
( ( sum @ n30 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_3202,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3203,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19430,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_cl1522,zip_derived_cl19429]) ).
thf(zip_derived_cl33_3204,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3205,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_3206,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3207,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3208,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19492,plain,
( ( ( sum @ ( sum @ n30 @ n4 ) @ n3 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19430,zip_derived_cl33,zip_derived_cl2,zip_derived_cl127,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29739,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl998,zip_derived_cl19492]) ).
thf(zip_derived_cl160_3209,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_3210,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3211,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29741,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n3 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29739,zip_derived_cl160,zip_derived_cl995,zip_derived_cl70]) ).
thf('365',plain,
( ( sk_ != n0 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29741]) ).
thf(zip_derived_cl992_3212,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_3213,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_3214,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3215,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19456,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl19429]) ).
thf(zip_derived_cl59_3216,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3217,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3218,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3219,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19519,plain,
( ( ( sum @ ( sum @ n25 @ n4 ) @ ( sum @ n2 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19456,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl153_3220,plain,
( ( sum @ n2 @ n27 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25592,plain,
( ( ( sum @ ( sum @ n25 @ n4 ) @ n29 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19519,zip_derived_cl153]) ).
thf(zip_derived_cl27974,plain,
( ( ( sum @ ( sum @ n25 @ n4 ) @ n29 )
!= ( sum @ n21 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl25592]) ).
thf(zip_derived_cl843_3221,plain,
( ( sum @ n25 @ n4 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_3222,plain,
( ( sum @ n21 @ n6 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27992,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n3 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27974,zip_derived_cl843,zip_derived_cl721]) ).
thf(zip_derived_cl29552,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n3 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl27992]) ).
thf('366',plain,
( ( sk__1 != n3 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29552]) ).
thf(zip_derived_cl967_3223,plain,
( ( sum @ n29 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3224,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3225,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19460,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n4 ) @ ( sum @ n2 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl19429]) ).
thf(zip_derived_cl63_3226,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_3227,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_3228,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3229,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_3230,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19523,plain,
( ( ( sum @ ( sum @ n29 @ n4 ) @ n2 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19460,zip_derived_cl63,zip_derived_cl32,zip_derived_cl126,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29429,plain,
( ( ( sum @ n2 @ n2 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl967,zip_derived_cl19523]) ).
thf(zip_derived_cl128_3231,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_3232,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29430,plain,
( ( n4
!= ( sum @ n29 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29429,zip_derived_cl128,zip_derived_cl963]) ).
thf(zip_derived_cl969_3233,plain,
( ( sum @ n29 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29475,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n3 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29430,zip_derived_cl969]) ).
thf('367',plain,
( ( sk__1 != n3 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29475]) ).
thf(zip_derived_cl960_3234,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_3235,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_3236,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3237,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19455,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_cl1547,zip_derived_cl19429]) ).
thf(zip_derived_cl58_3238,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_3239,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3240,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_3241,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19518,plain,
( ( ( sum @ ( sum @ n24 @ n4 ) @ ( sum @ n2 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19455,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl152_3242,plain,
( ( sum @ n2 @ n26 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25591,plain,
( ( ( sum @ ( sum @ n24 @ n4 ) @ n28 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19518,zip_derived_cl152]) ).
thf(zip_derived_cl27635,plain,
( ( ( sum @ ( sum @ n24 @ n4 ) @ n28 )
!= ( sum @ n19 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl25591]) ).
thf(zip_derived_cl812_3243,plain,
( ( sum @ n24 @ n4 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659_3244,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27651,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27635,zip_derived_cl812,zip_derived_cl659]) ).
thf(zip_derived_cl29021,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n3 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl27651]) ).
thf('368',plain,
( ( sk__1 != n3 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29021]) ).
thf(zip_derived_cl938_3245,plain,
( ( sum @ n28 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_3246,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3247,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19444,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_cl1536,zip_derived_cl19429]) ).
thf(zip_derived_cl47_3248,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3249,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_3250,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3251,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19507,plain,
( ( ( sum @ ( sum @ n13 @ n4 ) @ ( sum @ n2 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19444,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl471_3252,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_3253,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_3254,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25580,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n28 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19507,zip_derived_cl471,zip_derived_cl141,zip_derived_cl482]) ).
thf(zip_derived_cl28927,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl938,zip_derived_cl25580]) ).
thf(zip_derived_cl608_3255,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28929,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n3 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28927,zip_derived_cl608]) ).
thf('369',plain,
( ( sk__1 != n3 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28929]) ).
thf(zip_derived_cl928_3256,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_3257,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_3258,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3259,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19454,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_cl1546,zip_derived_cl19429]) ).
thf(zip_derived_cl57_3260,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3261,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3262,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3263,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19517,plain,
( ( ( sum @ ( sum @ n23 @ n4 ) @ ( sum @ n2 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19454,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl151_3264,plain,
( ( sum @ n2 @ n25 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25590,plain,
( ( ( sum @ ( sum @ n23 @ n4 ) @ n27 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19517,zip_derived_cl151]) ).
thf(zip_derived_cl27299,plain,
( ( ( sum @ ( sum @ n23 @ n4 ) @ n27 )
!= ( sum @ n17 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl25590]) ).
thf(zip_derived_cl781_3265,plain,
( ( sum @ n23 @ n4 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597_3266,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27312,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27299,zip_derived_cl781,zip_derived_cl597]) ).
thf(zip_derived_cl28647,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n3 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl27312]) ).
thf('370',plain,
( ( sk_ != n24 )
| ( sk__1 != n3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28647]) ).
thf(zip_derived_cl896_3267,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_3268,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_3269,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3270,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19453,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_cl1545,zip_derived_cl19429]) ).
thf(zip_derived_cl56_3271,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3272,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3273,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3274,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19516,plain,
( ( ( sum @ ( sum @ n22 @ n4 ) @ ( sum @ n2 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19453,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl150_3275,plain,
( ( sum @ n2 @ n24 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25589,plain,
( ( ( sum @ ( sum @ n22 @ n4 ) @ n26 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19516,zip_derived_cl150]) ).
thf(zip_derived_cl26992,plain,
( ( ( sum @ ( sum @ n22 @ n4 ) @ n26 )
!= ( sum @ n15 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl25589]) ).
thf(zip_derived_cl750_3276,plain,
( ( sum @ n22 @ n4 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535_3277,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27003,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26992,zip_derived_cl750,zip_derived_cl535]) ).
thf(zip_derived_cl28295,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n3 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl27003]) ).
thf('371',plain,
( ( sk__1 != n3 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28295]) ).
thf(zip_derived_cl876_3278,plain,
( ( sum @ n26 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_3279,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3280,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19443,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_cl1535,zip_derived_cl19429]) ).
thf(zip_derived_cl46_3281,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3282,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3283,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3284,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19506,plain,
( ( ( sum @ ( sum @ n12 @ n4 ) @ ( sum @ n2 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19443,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl440_3285,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_3286,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_3287,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_3288,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25579,plain,
( ( n1
!= ( sum @ n26 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19506,zip_derived_cl440,zip_derived_cl140,zip_derived_cl576,zip_derived_cl450]) ).
thf(zip_derived_cl28190,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n3 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl876,zip_derived_cl25579]) ).
thf('372',plain,
( ( sk__1 != n3 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28190]) ).
thf(zip_derived_cl864_3289,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_3290,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_3291,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3292,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19452,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_cl1544,zip_derived_cl19429]) ).
thf(zip_derived_cl55_3293,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_3294,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3295,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_3296,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19515,plain,
( ( ( sum @ ( sum @ n21 @ n4 ) @ ( sum @ n2 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19452,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl149_3297,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25588,plain,
( ( ( sum @ ( sum @ n21 @ n4 ) @ n25 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19515,zip_derived_cl149]) ).
thf(zip_derived_cl26695,plain,
( ( ( sum @ ( sum @ n21 @ n4 ) @ n25 )
!= ( sum @ n13 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl25588]) ).
thf(zip_derived_cl719_3298,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_3299,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26706,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26695,zip_derived_cl719,zip_derived_cl473]) ).
thf(zip_derived_cl27940,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n3 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26706]) ).
thf('373',plain,
( ( sk__1 != n3 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27940]) ).
thf(zip_derived_cl832_3300,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_3301,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_3302,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3303,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19451,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_cl1543,zip_derived_cl19429]) ).
thf(zip_derived_cl54_3304,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3305,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3306,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3307,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19514,plain,
( ( ( sum @ ( sum @ n20 @ n4 ) @ ( sum @ n2 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19451,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl148_3308,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25587,plain,
( ( ( sum @ ( sum @ n20 @ n4 ) @ n24 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19514,zip_derived_cl148]) ).
thf(zip_derived_cl26427,plain,
( ( ( sum @ ( sum @ n20 @ n4 ) @ n24 )
!= ( sum @ n11 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl25587]) ).
thf(zip_derived_cl688_3309,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_3310,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26436,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26427,zip_derived_cl688,zip_derived_cl411]) ).
thf(zip_derived_cl27603,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n3 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26436]) ).
thf('374',plain,
( ( sk__1 != n3 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27603]) ).
thf(zip_derived_cl814_3311,plain,
( ( sum @ n24 @ n6 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_3312,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3313,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19442,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_cl1534,zip_derived_cl19429]) ).
thf(zip_derived_cl45_3314,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_3315,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3316,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_3317,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19505,plain,
( ( ( sum @ ( sum @ n11 @ n4 ) @ ( sum @ n2 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19442,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl409_3318,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_3319,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_3320,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_3321,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25578,plain,
( ( n30
!= ( sum @ n24 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19505,zip_derived_cl409,zip_derived_cl139,zip_derived_cl544,zip_derived_cl418]) ).
thf(zip_derived_cl27486,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n3 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl814,zip_derived_cl25578]) ).
thf('375',plain,
( ( sk__1 != n3 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27486]) ).
thf(zip_derived_cl800_3322,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_3323,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_3324,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3325,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19450,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_cl1542,zip_derived_cl19429]) ).
thf(zip_derived_cl53_3326,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3327,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3328,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3329,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19513,plain,
( ( ( sum @ ( sum @ n19 @ n4 ) @ ( sum @ n2 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19450,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl147_3330,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25586,plain,
( ( ( sum @ ( sum @ n19 @ n4 ) @ n23 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19513,zip_derived_cl147]) ).
thf(zip_derived_cl26158,plain,
( ( ( sum @ ( sum @ n19 @ n4 ) @ n23 )
!= ( sum @ n9 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl25586]) ).
thf(zip_derived_cl657_3331,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349_3332,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26164,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26158,zip_derived_cl657,zip_derived_cl349]) ).
thf(zip_derived_cl27267,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n3 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26164]) ).
thf('376',plain,
( ( sk__1 != n3 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27267]) ).
thf(zip_derived_cl768_3333,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_3334,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_3335,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3336,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19449,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_cl1541,zip_derived_cl19429]) ).
thf(zip_derived_cl52_3337,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3338,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3339,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3340,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19512,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ ( sum @ n2 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19449,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl146_3341,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25585,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ n22 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19512,zip_derived_cl146]) ).
thf(zip_derived_cl25892,plain,
( ( ( sum @ ( sum @ n18 @ n4 ) @ n22 )
!= ( sum @ n7 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl25585]) ).
thf(zip_derived_cl626_3342,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_3343,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25896,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25892,zip_derived_cl626,zip_derived_cl287]) ).
thf(zip_derived_cl26963,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n3 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl25896]) ).
thf('377',plain,
( ( sk__1 != n3 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26963]) ).
thf(zip_derived_cl752_3344,plain,
( ( sum @ n22 @ n6 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_3345,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3346,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19441,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_cl1533,zip_derived_cl19429]) ).
thf(zip_derived_cl44_3347,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3348,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3349,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3350,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19504,plain,
( ( ( sum @ ( sum @ n10 @ n4 ) @ ( sum @ n2 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19441,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl378_3351,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_3352,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_3353,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_3354,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25577,plain,
( ( n28
!= ( sum @ n22 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19504,zip_derived_cl378,zip_derived_cl138,zip_derived_cl512,zip_derived_cl386]) ).
thf(zip_derived_cl26864,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n3 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl752,zip_derived_cl25577]) ).
thf('378',plain,
( ( sk__1 != n3 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26864]) ).
thf(zip_derived_cl736_3355,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_3356,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_3357,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3358,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19448,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_cl1540,zip_derived_cl19429]) ).
thf(zip_derived_cl51_3359,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3360,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3361,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3362,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19511,plain,
( ( ( sum @ ( sum @ n17 @ n4 ) @ ( sum @ n2 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19448,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl595_3363,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_3364,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25584,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19511,zip_derived_cl595,zip_derived_cl145]) ).
thf(zip_derived_cl25623,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n5 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl25584]) ).
thf(zip_derived_cl225_3365,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25627,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25623,zip_derived_cl225]) ).
thf(zip_derived_cl26666,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n3 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25627]) ).
thf('379',plain,
( ( sk__1 != n3 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26666]) ).
thf(zip_derived_cl704_3366,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_3367,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3368,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19447,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_cl1539,zip_derived_cl19429]) ).
thf(zip_derived_cl50_3369,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3370,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_3371,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3372,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19510,plain,
( ( ( sum @ ( sum @ n16 @ n4 ) @ ( sum @ n2 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19447,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl564_3373,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_3374,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_3375,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_3376,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25583,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19510,zip_derived_cl564,zip_derived_cl144,zip_derived_cl578,zip_derived_cl163]) ).
thf(zip_derived_cl26403,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n3 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25583]) ).
thf('380',plain,
( ( sk__1 != n3 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26403]) ).
thf(zip_derived_cl690_3377,plain,
( ( sum @ n20 @ n6 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_3378,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3379,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19440,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_cl1532,zip_derived_cl19429]) ).
thf(zip_derived_cl43_3380,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3381,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3382,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3383,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19503,plain,
( ( ( sum @ ( sum @ n9 @ n4 ) @ ( sum @ n2 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19440,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl347_3384,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_3385,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_3386,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_3387,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25576,plain,
( ( n26
!= ( sum @ n20 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19503,zip_derived_cl347,zip_derived_cl137,zip_derived_cl480,zip_derived_cl354]) ).
thf(zip_derived_cl26322,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n3 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl690,zip_derived_cl25576]) ).
thf('381',plain,
( ( sk__1 != n3 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26322]) ).
thf(zip_derived_cl672_3388,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_3389,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3390,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19446,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_cl1538,zip_derived_cl19429]) ).
thf(zip_derived_cl49_3391,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3392,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3393,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3394,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19509,plain,
( ( ( sum @ ( sum @ n15 @ n4 ) @ ( sum @ n2 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19446,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl533_3395,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_3396,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_3397,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_3398,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25582,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19509,zip_derived_cl533,zip_derived_cl143,zip_derived_cl546,zip_derived_cl101]) ).
thf(zip_derived_cl26138,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n3 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25582]) ).
thf('382',plain,
( ( sk__1 != n3 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26138]) ).
thf(zip_derived_cl628_3399,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_3400,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3401,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19439,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_cl1531,zip_derived_cl19429]) ).
thf(zip_derived_cl42_3402,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3403,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_3404,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3405,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19502,plain,
( ( ( sum @ ( sum @ n8 @ n4 ) @ ( sum @ n2 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19439,zip_derived_cl42,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl316_3406,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_3407,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_3408,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_3409,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25575,plain,
( ( n24
!= ( sum @ n18 @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19502,zip_derived_cl316,zip_derived_cl136,zip_derived_cl448,zip_derived_cl322]) ).
thf(zip_derived_cl25803,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n3 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl25575]) ).
thf('383',plain,
( ( sk__1 != n3 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25803]) ).
thf(zip_derived_cl1530_3410,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3411,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19438,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_cl1530,zip_derived_cl19429]) ).
thf(zip_derived_cl41_3412,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3413,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_3414,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3415,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19501,plain,
( ( ( sum @ ( sum @ n7 @ n4 ) @ ( sum @ n2 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19438,zip_derived_cl41,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10]) ).
thf(zip_derived_cl285_3416,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3417,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_3418,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_3419,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl566_3420,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25573,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n3 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19501,zip_derived_cl285,zip_derived_cl135,zip_derived_cl416,zip_derived_cl290,zip_derived_cl566]) ).
thf('384',plain,
( ( sk__1 != n3 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25573]) ).
thf(zip_derived_cl1529_3421,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3422,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19437,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_cl1529,zip_derived_cl19429]) ).
thf(zip_derived_cl40_3423,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3424,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3425,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3426,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19500,plain,
( ( ( sum @ ( sum @ n6 @ n4 ) @ ( sum @ n2 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19437,zip_derived_cl40,zip_derived_cl9,zip_derived_cl40,zip_derived_cl9]) ).
thf(zip_derived_cl254_3427,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3428,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_3429,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_3430,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504_3431,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25571,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n3 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19500,zip_derived_cl254,zip_derived_cl134,zip_derived_cl384,zip_derived_cl258,zip_derived_cl504]) ).
thf('385',plain,
( ( sk__1 != n3 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25571]) ).
thf(zip_derived_cl1528_3432,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3433,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19436,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_cl1528,zip_derived_cl19429]) ).
thf(zip_derived_cl39_3434,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3435,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3436,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3437,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19499,plain,
( ( ( sum @ ( sum @ n5 @ n4 ) @ ( sum @ n2 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19436,zip_derived_cl39,zip_derived_cl8,zip_derived_cl39,zip_derived_cl8]) ).
thf(zip_derived_cl223_3438,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_3439,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_3440,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_3441,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_3442,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25569,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n3 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19499,zip_derived_cl223,zip_derived_cl133,zip_derived_cl352,zip_derived_cl226,zip_derived_cl442]) ).
thf('386',plain,
( ( sk__1 != n3 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25569]) ).
thf(zip_derived_cl1527_3443,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3444,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19435,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_cl1527,zip_derived_cl19429]) ).
thf(zip_derived_cl38_3445,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3446,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3447,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3448,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19498,plain,
( ( ( sum @ ( sum @ n4 @ n4 ) @ ( sum @ n2 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19435,zip_derived_cl38,zip_derived_cl7,zip_derived_cl38,zip_derived_cl7]) ).
thf(zip_derived_cl192_3449,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_3450,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_3451,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_3452,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3453,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25567,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n3 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19498,zip_derived_cl192,zip_derived_cl132,zip_derived_cl320,zip_derived_cl194,zip_derived_cl380]) ).
thf('387',plain,
( ( sk__1 != n3 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25567]) ).
thf(zip_derived_cl1526_3454,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl19429_3455,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_cl130,zip_derived_cl8003]) ).
thf(zip_derived_cl19434,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_cl1526,zip_derived_cl19429]) ).
thf(zip_derived_cl37_3456,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3457,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3458,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3459,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19497,plain,
( ( ( sum @ ( sum @ n3 @ n4 ) @ ( sum @ n2 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n6 ) )
<= ( ( sk__1 = n3 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19434,zip_derived_cl37,zip_derived_cl6,zip_derived_cl37,zip_derived_cl6]) ).
thf(zip_derived_cl161_3460,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_3461,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_3462,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3463,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_3464,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25565,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n3 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19497,zip_derived_cl161,zip_derived_cl131,zip_derived_cl288,zip_derived_cl162,zip_derived_cl318]) ).
thf('388',plain,
( ( sk__1 != n3 )
| ( sk_ != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25565]) ).
thf(zip_derived_cl1526_3465,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_3466,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29610,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl29595]) ).
thf(zip_derived_cl37_3467,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3468,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3469,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3470,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3471,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29674,plain,
( ( ( sum @ n4 @ ( sum @ n30 @ n5 ) )
!= n8 )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29610,zip_derived_cl37,zip_derived_cl158,zip_derived_cl6,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl312]) ).
thf(zip_derived_cl999_3472,plain,
( ( sum @ n30 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_3473,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30049,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n0 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29674,zip_derived_cl999,zip_derived_cl192]) ).
thf('389',plain,
( ( sk_ != n4 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30049]) ).
thf(zip_derived_cl992_3474,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3475,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_3476,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27680,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl27632]) ).
thf(zip_derived_cl37_3477,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183,plain,
( ( sum @ n3 @ n26 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3478,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl813_3479,plain,
( ( sum @ n24 @ n5 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3480,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3481,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3482,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_3483,plain,
( ( sum @ n8 @ n19 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27742,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n25 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27680,zip_derived_cl37,zip_derived_cl183,zip_derived_cl6,zip_derived_cl813,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl331]) ).
thf(zip_derived_cl29551,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n25 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl27742]) ).
thf('390',plain,
( ( sk_ != n4 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29551]) ).
thf(zip_derived_cl1526_3484,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_3485,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29302,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl29297]) ).
thf(zip_derived_cl37_3486,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3487,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3488,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3489,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3490,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_3491,plain,
( ( sum @ n8 @ n29 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29364,plain,
( ( ( sum @ n3 @ ( sum @ n29 @ n5 ) )
!= n6 )
<= ( ( sk__1 = n30 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29302,zip_derived_cl37,zip_derived_cl157,zip_derived_cl6,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl341]) ).
thf(zip_derived_cl968_3492,plain,
( ( sum @ n29 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_3493,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29518,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n30 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29364,zip_derived_cl968,zip_derived_cl160]) ).
thf('391',plain,
( ( sk_ != n4 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29518]) ).
thf(zip_derived_cl1526_3494,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_3495,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29123,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl29056]) ).
thf(zip_derived_cl37_3496,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_3497,plain,
( ( sum @ n3 @ n30 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3498,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl937_3499,plain,
( ( sum @ n28 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_3500,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3501,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3502,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3503,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339_3504,plain,
( ( sum @ n8 @ n27 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29187,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n29 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29123,zip_derived_cl37,zip_derived_cl187,zip_derived_cl6,zip_derived_cl937,zip_derived_cl128,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl339]) ).
thf('392',plain,
( ( sk_ != n4 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29187]) ).
thf(zip_derived_cl960_3505,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3506,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_3507,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27334,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl27296]) ).
thf(zip_derived_cl37_3508,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182,plain,
( ( sum @ n3 @ n25 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3509,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl782_3510,plain,
( ( sum @ n23 @ n5 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3511,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3512,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3513,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27396,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n24 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27334,zip_derived_cl37,zip_derived_cl182,zip_derived_cl6,zip_derived_cl782,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl329]) ).
thf(zip_derived_cl29020,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n24 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl27396]) ).
thf('393',plain,
( ( sk_ != n4 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29020]) ).
thf(zip_derived_cl1526_3514,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_3515,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28751,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl28682]) ).
thf(zip_derived_cl37_3516,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_3517,plain,
( ( sum @ n3 @ n29 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3518,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl906_3519,plain,
( ( sum @ n27 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_3520,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3521,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3522,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3523,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337,plain,
( ( sum @ n8 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28814,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n28 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28751,zip_derived_cl37,zip_derived_cl186,zip_derived_cl6,zip_derived_cl906,zip_derived_cl96,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl337]) ).
thf('394',plain,
( ( sk_ != n4 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28814]) ).
thf(zip_derived_cl928_3524,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3525,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_3526,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27020,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl26989]) ).
thf(zip_derived_cl37_3527,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_3528,plain,
( ( sum @ n3 @ n24 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3529,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl751_3530,plain,
( ( sum @ n22 @ n5 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3531,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3532,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3533,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27082,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n23 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27020,zip_derived_cl37,zip_derived_cl181,zip_derived_cl6,zip_derived_cl751,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl327]) ).
thf(zip_derived_cl28646,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n23 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl27082]) ).
thf('395',plain,
( ( sk_ != n4 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28646]) ).
thf(zip_derived_cl896_3534,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3535,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_3536,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26722,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl26692]) ).
thf(zip_derived_cl37_3537,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_3538,plain,
( ( sum @ n3 @ n23 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3539,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_3540,plain,
( ( sum @ n21 @ n5 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3541,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3542,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3543,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_3544,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26784,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n22 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26722,zip_derived_cl37,zip_derived_cl180,zip_derived_cl6,zip_derived_cl720,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl325]) ).
thf(zip_derived_cl28294,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n22 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26784]) ).
thf('396',plain,
( ( sk_ != n4 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28294]) ).
thf(zip_derived_cl864_3545,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3546,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_3547,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26447,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl26424]) ).
thf(zip_derived_cl37_3548,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3549,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl689_3550,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3551,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3552,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3553,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26509,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n21 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26447,zip_derived_cl37,zip_derived_cl179,zip_derived_cl6,zip_derived_cl689,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl323]) ).
thf(zip_derived_cl27938,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n21 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26509]) ).
thf('397',plain,
( ( sk_ != n4 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27938]) ).
thf(zip_derived_cl832_3554,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3555,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_3556,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26172,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl26155]) ).
thf(zip_derived_cl37_3557,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_3558,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3559,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658_3560,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3561,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3562,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3563,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26234,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26172,zip_derived_cl37,zip_derived_cl178,zip_derived_cl6,zip_derived_cl658,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl321]) ).
thf(zip_derived_cl27600,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n20 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26234]) ).
thf('398',plain,
( ( sk_ != n4 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27600]) ).
thf(zip_derived_cl800_3564,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3565,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_3566,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25902,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl25889]) ).
thf(zip_derived_cl37_3567,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3568,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl627_3569,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3570,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3571,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3572,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_3573,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25964,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n19 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25902,zip_derived_cl37,zip_derived_cl177,zip_derived_cl6,zip_derived_cl627,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl319]) ).
thf(zip_derived_cl27264,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n19 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl25964]) ).
thf('399',plain,
( ( sk_ != n4 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27264]) ).
thf(zip_derived_cl736_3574,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3575,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_3576,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25362,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl25355]) ).
thf(zip_derived_cl37_3577,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3578,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl565_3579,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3580,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3581,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3582,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_3583,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25424,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n17 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25362,zip_derived_cl37,zip_derived_cl175,zip_derived_cl6,zip_derived_cl565,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl315]) ).
thf(zip_derived_cl26665,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n17 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25424]) ).
thf('400',plain,
( ( sk_ != n4 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26665]) ).
thf(zip_derived_cl704_3584,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3585,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_3586,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25162,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl25157]) ).
thf(zip_derived_cl37_3587,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3588,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534_3589,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3590,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3591,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3592,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25224,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25162,zip_derived_cl37,zip_derived_cl174,zip_derived_cl6,zip_derived_cl534,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl313]) ).
thf(zip_derived_cl26401,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n16 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25224]) ).
thf('401',plain,
( ( sk_ != n4 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26401]) ).
thf(zip_derived_cl672_3593,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3594,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_3595,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24943,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl24936]) ).
thf(zip_derived_cl37_3596,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3597,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503_3598,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3599,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3600,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3601,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_3602,plain,
( ( sum @ n8 @ n30 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25005,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24943,zip_derived_cl37,zip_derived_cl173,zip_derived_cl6,zip_derived_cl503,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl342]) ).
thf(zip_derived_cl26132,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n15 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25005]) ).
thf('402',plain,
( ( sk_ != n4 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26132]) ).
thf(zip_derived_cl640_3603,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3604,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_3605,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24680,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl24673]) ).
thf(zip_derived_cl37_3606,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3607,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_3608,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3609,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3610,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3611,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_3612,plain,
( ( sum @ n8 @ n28 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24742,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24680,zip_derived_cl37,zip_derived_cl172,zip_derived_cl6,zip_derived_cl472,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl340]) ).
thf(zip_derived_cl25870,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n14 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl24742]) ).
thf('403',plain,
( ( sk_ != n4 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25870]) ).
thf(zip_derived_cl608_3613,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3614,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_3615,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24414,plain,
( ( ( sum @ ( sum @ ( pred @ n4 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n4 ) ) )
!= ( sum @ ( sum @ ( pred @ n4 ) @ ( succ @ n4 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1526,zip_derived_cl24407]) ).
thf(zip_derived_cl37_3616,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3617,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_3618,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3619,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3620,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3621,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338,plain,
( ( sum @ n8 @ n26 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24476,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24414,zip_derived_cl37,zip_derived_cl171,zip_derived_cl6,zip_derived_cl441,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl338]) ).
thf(zip_derived_cl25602,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n13 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl24476]) ).
thf('404',plain,
( ( sk_ != n4 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25602]) ).
thf(zip_derived_cl1526_3622,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_3623,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18776,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_cl1526,zip_derived_cl18771]) ).
thf(zip_derived_cl37_3624,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3625,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3626,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3627,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18839,plain,
( ( ( sum @ ( sum @ n3 @ n3 ) @ ( sum @ n1 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18776,zip_derived_cl37,zip_derived_cl6,zip_derived_cl37,zip_derived_cl6]) ).
thf(zip_derived_cl160_3628,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_3629,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_3630,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3631,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_3632,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25501,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n2 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18839,zip_derived_cl160,zip_derived_cl100,zip_derived_cl256,zip_derived_cl162,zip_derived_cl316]) ).
thf('405',plain,
( ( sk_ != n4 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25501]) ).
thf(zip_derived_cl1526_3633,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_3634,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18367,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_cl1526,zip_derived_cl18362]) ).
thf(zip_derived_cl37_3635,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3636,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3637,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3638,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18430,plain,
( ( ( sum @ ( sum @ n3 @ n2 ) @ ( sum @ n0 @ n5 ) )
!= ( sum @ ( sum @ n3 @ n5 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18367,zip_derived_cl37,zip_derived_cl6,zip_derived_cl37,zip_derived_cl6]) ).
thf(zip_derived_cl159_3639,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3640,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_3641,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3642,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_3643,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25288,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n1 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18430,zip_derived_cl159,zip_derived_cl69,zip_derived_cl224,zip_derived_cl162,zip_derived_cl314]) ).
thf('406',plain,
( ( sk_ != n4 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25288]) ).
thf(zip_derived_cl544_3644,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3645,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_3646,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23878,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_cl1526,zip_derived_cl23871]) ).
thf(zip_derived_cl37_3647,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_3648,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3649,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_3650,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3651,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3652,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3653,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334,plain,
( ( sum @ n8 @ n22 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23940,plain,
( ( ( sum @ n15 @ n15 )
!= n30 )
<= ( ( sk__1 = n11 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23878,zip_derived_cl37,zip_derived_cl169,zip_derived_cl6,zip_derived_cl379,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl334]) ).
thf(zip_derived_cl25143,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n11 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl23940]) ).
thf('407',plain,
( ( sk_ != n4 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25143]) ).
thf(zip_derived_cl1526_3654,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3655,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23352,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_cl1526,zip_derived_cl23345]) ).
thf(zip_derived_cl37_3656,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_3657,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3658,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_3659,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3660,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3661,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3662,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23414,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n8 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23352,zip_derived_cl37,zip_derived_cl167,zip_derived_cl6,zip_derived_cl317,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162]) ).
thf(zip_derived_cl480_3663,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330,plain,
( ( sum @ n8 @ n18 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25107,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n9 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23414,zip_derived_cl480,zip_derived_cl330]) ).
thf('408',plain,
( ( sk_ != n4 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25107]) ).
thf(zip_derived_cl1526_3664,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_3665,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22867,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_cl1526,zip_derived_cl22862]) ).
thf(zip_derived_cl37_3666,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3667,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_3668,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3669,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3670,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3671,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22929,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n8 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22867,zip_derived_cl37,zip_derived_cl166,zip_derived_cl6,zip_derived_cl286,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162]) ).
thf(zip_derived_cl448_3672,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25093,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n8 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22929,zip_derived_cl448,zip_derived_cl328]) ).
thf('409',plain,
( ( sk_ != n4 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25093]) ).
thf(zip_derived_cl1526_3673,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_3674,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22238,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_cl1526,zip_derived_cl22233]) ).
thf(zip_derived_cl37_3675,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3676,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_3677,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3678,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3679,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3680,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22300,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ n8 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22238,zip_derived_cl37,zip_derived_cl165,zip_derived_cl6,zip_derived_cl255,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162]) ).
thf(zip_derived_cl416_3681,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24937,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n7 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22300,zip_derived_cl416,zip_derived_cl326]) ).
thf('410',plain,
( ( sk_ != n4 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24937]) ).
thf(zip_derived_cl512_3682,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1526_3683,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_3684,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23615,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_cl1526,zip_derived_cl23610]) ).
thf(zip_derived_cl37_3685,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_3686,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3687,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348_3688,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl37_3689,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3690,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_3691,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332,plain,
( ( sum @ n8 @ n20 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23677,plain,
( ( ( sum @ n14 @ n14 )
!= n28 )
<= ( ( sk__1 = n10 )
& ( sk_ = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23615,zip_derived_cl37,zip_derived_cl168,zip_derived_cl6,zip_derived_cl348,zip_derived_cl37,zip_derived_cl6,zip_derived_cl162,zip_derived_cl332]) ).
thf(zip_derived_cl24923,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n10 )
& ( sk_ = n4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl23677]) ).
thf('411',plain,
( ( sk_ != n4 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24923]) ).
thf(zip_derived_cl1495_3692,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1526_3693,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_3694,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_cl2144,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_cl1526,zip_derived_cl0]) ).
thf(zip_derived_cl6_3695,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3696,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2150,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_cl2144,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl3107,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_cl1495,zip_derived_cl2150]) ).
thf(zip_derived_cl6_3697,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6_3698,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3175,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_cl3107,zip_derived_cl6,zip_derived_cl6]) ).
thf('412',plain,
( ( sk_ != n4 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3175]) ).
thf(zip_derived_cl1012,plain,
( ( sum @ n30 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_3699,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3700,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23363,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_cl1537,zip_derived_cl23345]) ).
thf(zip_derived_cl48_3701,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3702,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_3703,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_3704,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23426,plain,
( ( ( sum @ ( sum @ n14 @ n10 ) @ ( sum @ n8 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23363,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl508_3705,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_3706,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_3707,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26595,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n30 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23426,zip_derived_cl508,zip_derived_cl328,zip_derived_cl514]) ).
thf(zip_derived_cl29857,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1012,zip_derived_cl26595]) ).
thf(zip_derived_cl832_3708,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29860,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n9 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29857,zip_derived_cl832]) ).
thf('413',plain,
( ( sk__1 != n9 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29860]) ).
thf(zip_derived_cl1004_3709,plain,
( ( sum @ n30 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_3710,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3711,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23348,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_cl1522,zip_derived_cl23345]) ).
thf(zip_derived_cl33_3712,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3713,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_3714,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_3715,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_3716,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23410,plain,
( ( ( sum @ ( sum @ n30 @ n10 ) @ n9 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23348,zip_derived_cl33,zip_derived_cl2,zip_derived_cl313,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29772,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1004,zip_derived_cl23410]) ).
thf(zip_derived_cl352_3717,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_3718,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3719,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29774,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n9 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29772,zip_derived_cl352,zip_derived_cl995,zip_derived_cl82]) ).
thf('414',plain,
( ( sk_ != n0 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29774]) ).
thf(zip_derived_cl992_3720,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_3721,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3722,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23368,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_cl1542,zip_derived_cl23345]) ).
thf(zip_derived_cl53_3723,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3724,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3725,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_3726,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23431,plain,
( ( ( sum @ ( sum @ n19 @ n10 ) @ ( sum @ n8 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23368,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl663_3727,plain,
( ( sum @ n19 @ n10 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_3728,plain,
( ( sum @ n8 @ n21 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_3729,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_3730,plain,
( ( sum @ n9 @ n18 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26600,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23431,zip_derived_cl663,zip_derived_cl333,zip_derived_cl674,zip_derived_cl361]) ).
thf(zip_derived_cl29539,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n9 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26600]) ).
thf('415',plain,
( ( sk__1 != n9 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29539]) ).
thf(zip_derived_cl973_3731,plain,
( ( sum @ n29 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3732,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3733,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23378,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl23345]) ).
thf(zip_derived_cl63_3734,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_3735,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_3736,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3737,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_3738,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23441,plain,
( ( ( sum @ ( sum @ n29 @ n10 ) @ n8 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23378,zip_derived_cl63,zip_derived_cl32,zip_derived_cl312,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29441,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl973,zip_derived_cl23441]) ).
thf(zip_derived_cl320_3739,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_3740,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29442,plain,
( ( n16
!= ( sum @ n29 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29441,zip_derived_cl320,zip_derived_cl963]) ).
thf(zip_derived_cl981,plain,
( ( sum @ n29 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29493,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n9 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29442,zip_derived_cl981]) ).
thf('416',plain,
( ( sk__1 != n9 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29493]) ).
thf(zip_derived_cl960_3741,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_3742,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3743,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23367,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_cl1541,zip_derived_cl23345]) ).
thf(zip_derived_cl52_3744,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3745,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_3746,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_3747,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23430,plain,
( ( ( sum @ ( sum @ n18 @ n10 ) @ ( sum @ n8 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23367,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl632_3748,plain,
( ( sum @ n18 @ n10 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_3749,plain,
( ( sum @ n8 @ n20 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_3750,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26599,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23430,zip_derived_cl632,zip_derived_cl332,zip_derived_cl642,zip_derived_cl299]) ).
thf(zip_derived_cl29011,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n9 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26599]) ).
thf('417',plain,
( ( sk__1 != n9 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29011]) ).
thf(zip_derived_cl950_3751,plain,
( ( sum @ n28 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_3752,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3753,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23362,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_cl1536,zip_derived_cl23345]) ).
thf(zip_derived_cl47_3754,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3755,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_3756,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_3757,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23425,plain,
( ( ( sum @ ( sum @ n13 @ n10 ) @ ( sum @ n8 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23362,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl477_3758,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_3759,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_3760,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26594,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n28 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23425,zip_derived_cl477,zip_derived_cl327,zip_derived_cl482]) ).
thf(zip_derived_cl28959,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl950,zip_derived_cl26594]) ).
thf(zip_derived_cl800_3761,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28960,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n9 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28959,zip_derived_cl800]) ).
thf('418',plain,
( ( sk__1 != n9 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28960]) ).
thf(zip_derived_cl928_3762,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_3763,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3764,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23366,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_cl1540,zip_derived_cl23345]) ).
thf(zip_derived_cl51_3765,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3766,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_3767,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_3768,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23429,plain,
( ( ( sum @ ( sum @ n17 @ n10 ) @ ( sum @ n8 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23366,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl601_3769,plain,
( ( sum @ n17 @ n10 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_3770,plain,
( ( sum @ n8 @ n19 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_3771,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_3772,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26598,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23429,zip_derived_cl601,zip_derived_cl331,zip_derived_cl610,zip_derived_cl237]) ).
thf(zip_derived_cl28640,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n9 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26598]) ).
thf('419',plain,
( ( sk__1 != n9 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28640]) ).
thf(zip_derived_cl896_3773,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_3774,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3775,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23365,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_cl1539,zip_derived_cl23345]) ).
thf(zip_derived_cl50_3776,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3777,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_3778,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_3779,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23428,plain,
( ( ( sum @ ( sum @ n16 @ n10 ) @ ( sum @ n8 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23365,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl570_3780,plain,
( ( sum @ n16 @ n10 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_3781,plain,
( ( sum @ n8 @ n18 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_3782,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_3783,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26597,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23428,zip_derived_cl570,zip_derived_cl330,zip_derived_cl578,zip_derived_cl175]) ).
thf(zip_derived_cl28291,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n9 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26597]) ).
thf('420',plain,
( ( sk__1 != n9 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28291]) ).
thf(zip_derived_cl888_3784,plain,
( ( sum @ n26 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_3785,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3786,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23361,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_cl1535,zip_derived_cl23345]) ).
thf(zip_derived_cl46_3787,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3788,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_3789,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_3790,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23424,plain,
( ( ( sum @ ( sum @ n12 @ n10 ) @ ( sum @ n8 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23361,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl446_3791,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3792,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_3793,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26593,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n26 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23424,zip_derived_cl446,zip_derived_cl326,zip_derived_cl450]) ).
thf(zip_derived_cl28220,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl888,zip_derived_cl26593]) ).
thf(zip_derived_cl768_3794,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28221,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n9 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28220,zip_derived_cl768]) ).
thf('421',plain,
( ( sk__1 != n9 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28221]) ).
thf(zip_derived_cl866_3795,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_3796,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3797,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23374,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n10 ) @ ( sum @ n8 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl23345]) ).
thf(zip_derived_cl59_3798,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3799,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3800,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_3801,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23437,plain,
( ( ( sum @ ( sum @ n25 @ n10 ) @ ( sum @ n8 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23374,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl339_3802,plain,
( ( sum @ n8 @ n27 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26606,plain,
( ( ( sum @ ( sum @ n25 @ n10 ) @ n4 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23437,zip_derived_cl339]) ).
thf(zip_derived_cl27980,plain,
( ( ( sum @ ( sum @ n25 @ n10 ) @ n4 )
!= ( sum @ n21 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl26606]) ).
thf(zip_derived_cl849_3803,plain,
( ( sum @ n25 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_3804,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733,plain,
( ( sum @ n21 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28002,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n9 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27980,zip_derived_cl849,zip_derived_cl192,zip_derived_cl733]) ).
thf('422',plain,
( ( sk__1 != n9 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28002]) ).
thf(zip_derived_cl864_3805,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_3806,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3807,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23364,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_cl1538,zip_derived_cl23345]) ).
thf(zip_derived_cl49_3808,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3809,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_3810,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_3811,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23427,plain,
( ( ( sum @ ( sum @ n15 @ n10 ) @ ( sum @ n8 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23364,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl539_3812,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_3813,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_3814,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_3815,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26596,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23427,zip_derived_cl539,zip_derived_cl329,zip_derived_cl546,zip_derived_cl113]) ).
thf(zip_derived_cl27939,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n9 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26596]) ).
thf('423',plain,
( ( sk__1 != n9 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27939]) ).
thf(zip_derived_cl834_3816,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_3817,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3818,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23373,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_cl1547,zip_derived_cl23345]) ).
thf(zip_derived_cl58_3819,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_3820,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3821,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_3822,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23436,plain,
( ( ( sum @ ( sum @ n24 @ n10 ) @ ( sum @ n8 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23373,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl338_3823,plain,
( ( sum @ n8 @ n26 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26605,plain,
( ( ( sum @ ( sum @ n24 @ n10 ) @ n3 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23436,zip_derived_cl338]) ).
thf(zip_derived_cl27641,plain,
( ( ( sum @ ( sum @ n24 @ n10 ) @ n3 )
!= ( sum @ n19 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl26605]) ).
thf(zip_derived_cl818_3824,plain,
( ( sum @ n24 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_3825,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl671,plain,
( ( sum @ n19 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27660,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n9 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27641,zip_derived_cl818,zip_derived_cl160,zip_derived_cl671]) ).
thf('424',plain,
( ( sk__1 != n9 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27660]) ).
thf(zip_derived_cl826,plain,
( ( sum @ n24 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_3826,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3827,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23360,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_cl1534,zip_derived_cl23345]) ).
thf(zip_derived_cl45_3828,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_3829,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_3830,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_3831,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23423,plain,
( ( ( sum @ ( sum @ n11 @ n10 ) @ ( sum @ n8 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23360,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl415_3832,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_3833,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_3834,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26592,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n24 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23423,zip_derived_cl415,zip_derived_cl325,zip_derived_cl418]) ).
thf(zip_derived_cl27541,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl826,zip_derived_cl26592]) ).
thf(zip_derived_cl736_3835,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27542,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n9 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27541,zip_derived_cl736]) ).
thf('425',plain,
( ( sk__1 != n9 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27542]) ).
thf(zip_derived_cl802_3836,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_3837,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3838,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23372,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_cl1546,zip_derived_cl23345]) ).
thf(zip_derived_cl57_3839,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3840,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3841,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_3842,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23435,plain,
( ( ( sum @ ( sum @ n23 @ n10 ) @ ( sum @ n8 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23372,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl337_3843,plain,
( ( sum @ n8 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26604,plain,
( ( ( sum @ ( sum @ n23 @ n10 ) @ n2 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23435,zip_derived_cl337]) ).
thf(zip_derived_cl27305,plain,
( ( ( sum @ ( sum @ n23 @ n10 ) @ n2 )
!= ( sum @ n17 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl26604]) ).
thf(zip_derived_cl787_3844,plain,
( ( sum @ n23 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_3845,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl609_3846,plain,
( ( sum @ n17 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27320,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n9 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27305,zip_derived_cl787,zip_derived_cl128,zip_derived_cl609]) ).
thf('426',plain,
( ( sk_ != n24 )
| ( sk__1 != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27320]) ).
thf(zip_derived_cl770_3847,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_3848,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3849,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23371,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_cl1545,zip_derived_cl23345]) ).
thf(zip_derived_cl56_3850,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3851,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3852,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_3853,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23434,plain,
( ( ( sum @ ( sum @ n22 @ n10 ) @ ( sum @ n8 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23371,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl336_3854,plain,
( ( sum @ n8 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26603,plain,
( ( ( sum @ ( sum @ n22 @ n10 ) @ n1 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23434,zip_derived_cl336]) ).
thf(zip_derived_cl26998,plain,
( ( ( sum @ ( sum @ n22 @ n10 ) @ n1 )
!= ( sum @ n15 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl26603]) ).
thf(zip_derived_cl756_3855,plain,
( ( sum @ n22 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_3856,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547,plain,
( ( sum @ n15 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27010,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n9 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26998,zip_derived_cl756,zip_derived_cl96,zip_derived_cl547]) ).
thf('427',plain,
( ( sk__1 != n9 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27010]) ).
thf(zip_derived_cl764,plain,
( ( sum @ n22 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_3857,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3858,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23359,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_cl1533,zip_derived_cl23345]) ).
thf(zip_derived_cl44_3859,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3860,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_3861,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_3862,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23422,plain,
( ( ( sum @ ( sum @ n10 @ n10 ) @ ( sum @ n8 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23359,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl384_3863,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3864,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_3865,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_3866,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26591,plain,
( ( n9
!= ( sum @ n22 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23422,zip_derived_cl384,zip_derived_cl324,zip_derived_cl704,zip_derived_cl386]) ).
thf(zip_derived_cl26930,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n9 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl764,zip_derived_cl26591]) ).
thf('428',plain,
( ( sk__1 != n9 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26930]) ).
thf(zip_derived_cl738_3867,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_3868,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3869,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23370,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_cl1544,zip_derived_cl23345]) ).
thf(zip_derived_cl55_3870,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_3871,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3872,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_3873,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23433,plain,
( ( ( sum @ ( sum @ n21 @ n10 ) @ ( sum @ n8 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23370,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl335_3874,plain,
( ( sum @ n8 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26602,plain,
( ( ( sum @ ( sum @ n21 @ n10 ) @ n0 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23433,zip_derived_cl335]) ).
thf(zip_derived_cl26701,plain,
( ( ( sum @ ( sum @ n21 @ n10 ) @ n0 )
!= ( sum @ n13 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl26602]) ).
thf(zip_derived_cl725_3875,plain,
( ( sum @ n21 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3876,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485,plain,
( ( sum @ n13 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26712,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n9 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26701,zip_derived_cl725,zip_derived_cl64,zip_derived_cl485]) ).
thf('429',plain,
( ( sk__1 != n9 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26712]) ).
thf(zip_derived_cl1532_3877,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3878,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23358,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_cl1532,zip_derived_cl23345]) ).
thf(zip_derived_cl43_3879,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3880,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_3881,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_3882,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23421,plain,
( ( ( sum @ ( sum @ n9 @ n10 ) @ ( sum @ n8 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23358,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl353_3883,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_3884,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_3885,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_3886,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702,plain,
( ( sum @ n20 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26589,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n9 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23421,zip_derived_cl353,zip_derived_cl323,zip_derived_cl672,zip_derived_cl354,zip_derived_cl702]) ).
thf('430',plain,
( ( sk__1 != n9 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26589]) ).
thf(zip_derived_cl608_3887,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_3888,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3889,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23356,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_cl1530,zip_derived_cl23345]) ).
thf(zip_derived_cl41_3890,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_3891,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3892,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_3893,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_3894,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_3895,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_3896,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23418,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n16 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23356,zip_derived_cl41,zip_derived_cl291,zip_derived_cl10,zip_derived_cl321,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290]) ).
thf(zip_derived_cl25600,plain,
( ( n3
!= ( sum @ n16 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl23418]) ).
thf(zip_derived_cl578_3897,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25609,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n9 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25600,zip_derived_cl578]) ).
thf('431',plain,
( ( sk__1 != n9 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25609]) ).
thf(zip_derived_cl576_3898,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_3899,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3900,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23355,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_cl1529,zip_derived_cl23345]) ).
thf(zip_derived_cl40_3901,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_3902,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3903,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_3904,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_3905,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_3906,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_3907,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23417,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n14 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23355,zip_derived_cl40,zip_derived_cl260,zip_derived_cl9,zip_derived_cl320,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258]) ).
thf(zip_derived_cl516,plain,
( ( sum @ n14 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25112,plain,
( ( ( sum @ n16 @ n16 )
!= n1 )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23417,zip_derived_cl516]) ).
thf(zip_derived_cl25343,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n9 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl25112]) ).
thf('432',plain,
( ( sk__1 != n9 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25343]) ).
thf(zip_derived_cl544_3908,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_3909,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3910,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23354,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_cl1528,zip_derived_cl23345]) ).
thf(zip_derived_cl39_3911,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_3912,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3913,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_3914,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3915,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3916,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_3917,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23416,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n12 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23354,zip_derived_cl39,zip_derived_cl229,zip_derived_cl8,zip_derived_cl319,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226]) ).
thf(zip_derived_cl454,plain,
( ( sum @ n12 @ n18 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25111,plain,
( ( ( sum @ n15 @ n15 )
!= n30 )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23416,zip_derived_cl454]) ).
thf(zip_derived_cl25148,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n9 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl25111]) ).
thf('433',plain,
( ( sk__1 != n9 )
| ( sk_ != n6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25148]) ).
thf(zip_derived_cl1527_3918,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3919,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23353,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_cl1527,zip_derived_cl23345]) ).
thf(zip_derived_cl38_3920,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_3921,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3922,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_3923,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_3924,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_3925,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_3926,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23415,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n10 @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23353,zip_derived_cl38,zip_derived_cl198,zip_derived_cl7,zip_derived_cl318,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194]) ).
thf(zip_derived_cl512_3927,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392,plain,
( ( sum @ n10 @ n18 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25109,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n9 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23415,zip_derived_cl512,zip_derived_cl392]) ).
thf('434',plain,
( ( sk__1 != n9 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25109]) ).
thf(zip_derived_cl1024_3928,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_3929,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23345_3930,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_cl322,zip_derived_cl10358]) ).
thf(zip_derived_cl23369,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_cl1543,zip_derived_cl23345]) ).
thf(zip_derived_cl54_3931,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3932,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3933,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_3934,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23432,plain,
( ( ( sum @ ( sum @ n20 @ n10 ) @ ( sum @ n8 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n18 ) )
<= ( ( sk__1 = n9 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23369,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl694_3935,plain,
( ( sum @ n20 @ n10 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_3936,plain,
( ( sum @ n8 @ n22 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_3937,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423_3938,plain,
( ( sum @ n11 @ n18 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26601,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n9 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23432,zip_derived_cl694,zip_derived_cl334,zip_derived_cl706,zip_derived_cl423]) ).
thf(zip_derived_cl29988,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n9 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl26601]) ).
thf('435',plain,
( ( sk__1 != n9 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29988]) ).
thf(zip_derived_cl1531_3939,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl4637_3940,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_cl1611,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl4647,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_cl1531,zip_derived_cl4637]) ).
thf(zip_derived_cl11_3941,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_3942,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4709,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_cl4647,zip_derived_cl11,zip_derived_cl11]) ).
thf('436',plain,
( ( sk__1 != n9 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4709]) ).
thf(zip_derived_cl1528_3943,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_3944,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29612,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl29595]) ).
thf(zip_derived_cl39_3945,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_3946,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3947,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3948,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3949,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_3950,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29676,plain,
( ( ( sum @ n6 @ ( sum @ n30 @ n7 ) )
!= n12 )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29612,zip_derived_cl39,zip_derived_cl220,zip_derived_cl8,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl436]) ).
thf(zip_derived_cl1001_3951,plain,
( ( sum @ n30 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_3952,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30055,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n0 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29676,zip_derived_cl1001,zip_derived_cl256]) ).
thf('437',plain,
( ( sk_ != n6 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30055]) ).
thf(zip_derived_cl1024_3953,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_3954,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_3955,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27336,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl27296]) ).
thf(zip_derived_cl39_3956,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_3957,plain,
( ( sum @ n5 @ n25 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3958,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl784_3959,plain,
( ( sum @ n23 @ n7 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3960,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3961,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_3962,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453,plain,
( ( sum @ n12 @ n17 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27398,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n24 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27336,zip_derived_cl39,zip_derived_cl244,zip_derived_cl8,zip_derived_cl784,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl453]) ).
thf(zip_derived_cl29999,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n24 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27398]) ).
thf('438',plain,
( ( sk_ != n6 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29999]) ).
thf(zip_derived_cl992_3963,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_3964,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_3965,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27022,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl26989]) ).
thf(zip_derived_cl39_3966,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_3967,plain,
( ( sum @ n5 @ n24 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3968,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl753_3969,plain,
( ( sum @ n22 @ n7 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3970,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3971,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_3972,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451,plain,
( ( sum @ n12 @ n15 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27084,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n23 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27022,zip_derived_cl39,zip_derived_cl243,zip_derived_cl8,zip_derived_cl753,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl451]) ).
thf(zip_derived_cl29546,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n23 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl27084]) ).
thf('439',plain,
( ( sk_ != n6 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29546]) ).
thf(zip_derived_cl1528_3973,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_3974,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29304,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl29297]) ).
thf(zip_derived_cl39_3975,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_3976,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3977,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3978,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3979,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_3980,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_3981,plain,
( ( sum @ n12 @ n29 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29366,plain,
( ( ( sum @ n5 @ ( sum @ n29 @ n7 ) )
!= n10 )
<= ( ( sk__1 = n30 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29304,zip_derived_cl39,zip_derived_cl219,zip_derived_cl8,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl465]) ).
thf(zip_derived_cl970_3982,plain,
( ( sum @ n29 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_3983,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29527,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n30 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29366,zip_derived_cl970,zip_derived_cl224]) ).
thf('440',plain,
( ( sk_ != n6 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29527]) ).
thf(zip_derived_cl1528_3984,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_3985,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29125,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl29056]) ).
thf(zip_derived_cl39_3986,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_3987,plain,
( ( sum @ n5 @ n30 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3988,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl939_3989,plain,
( ( sum @ n28 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_3990,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_3991,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_3992,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_3993,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463_3994,plain,
( ( sum @ n12 @ n27 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29191,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n29 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29125,zip_derived_cl39,zip_derived_cl249,zip_derived_cl8,zip_derived_cl939,zip_derived_cl192,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl463]) ).
thf('441',plain,
( ( sk_ != n6 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29191]) ).
thf(zip_derived_cl960_3995,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_3996,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_3997,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26724,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl26692]) ).
thf(zip_derived_cl39_3998,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_3999,plain,
( ( sum @ n5 @ n23 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4000,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_4001,plain,
( ( sum @ n21 @ n7 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4002,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4003,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4004,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_4005,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26786,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n22 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26724,zip_derived_cl39,zip_derived_cl242,zip_derived_cl8,zip_derived_cl722,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl449]) ).
thf(zip_derived_cl29014,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n22 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26786]) ).
thf('442',plain,
( ( sk_ != n6 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29014]) ).
thf(zip_derived_cl1528_4006,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_4007,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28753,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl28682]) ).
thf(zip_derived_cl39_4008,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_4009,plain,
( ( sum @ n5 @ n29 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4010,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl908_4011,plain,
( ( sum @ n27 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_4012,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4013,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4014,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4015,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461,plain,
( ( sum @ n12 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28818,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n28 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28753,zip_derived_cl39,zip_derived_cl248,zip_derived_cl8,zip_derived_cl908,zip_derived_cl160,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl461]) ).
thf('443',plain,
( ( sk_ != n6 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28818]) ).
thf(zip_derived_cl928_4016,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4017,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_4018,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26449,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl26424]) ).
thf(zip_derived_cl39_4019,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_4020,plain,
( ( sum @ n5 @ n22 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4021,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl691_4022,plain,
( ( sum @ n20 @ n7 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4023,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4024,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4025,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447_4026,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26511,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n21 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26449,zip_derived_cl39,zip_derived_cl241,zip_derived_cl8,zip_derived_cl691,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl447]) ).
thf(zip_derived_cl28639,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n21 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26511]) ).
thf('444',plain,
( ( sk_ != n6 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28639]) ).
thf(zip_derived_cl896_4027,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4028,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_4029,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26174,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl26155]) ).
thf(zip_derived_cl39_4030,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_4031,plain,
( ( sum @ n5 @ n21 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4032,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660_4033,plain,
( ( sum @ n19 @ n7 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4034,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4035,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4036,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26236,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n20 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26174,zip_derived_cl39,zip_derived_cl240,zip_derived_cl8,zip_derived_cl660,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl445]) ).
thf(zip_derived_cl28286,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n20 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26236]) ).
thf('445',plain,
( ( sk_ != n6 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28286]) ).
thf(zip_derived_cl864_4037,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4038,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_4039,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25904,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl25889]) ).
thf(zip_derived_cl39_4040,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_4041,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4042,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629_4043,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4044,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4045,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4046,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_4047,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25966,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n19 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25904,zip_derived_cl39,zip_derived_cl239,zip_derived_cl8,zip_derived_cl629,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl443]) ).
thf(zip_derived_cl27931,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n19 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl25966]) ).
thf('446',plain,
( ( sk_ != n6 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27931]) ).
thf(zip_derived_cl1528_4048,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_4049,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27682,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl27632]) ).
thf(zip_derived_cl39_4050,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_4051,plain,
( ( sum @ n5 @ n26 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4052,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl815_4053,plain,
( ( sum @ n24 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4054,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4055,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4056,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4057,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455_4058,plain,
( ( sum @ n12 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27744,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n25 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27682,zip_derived_cl39,zip_derived_cl245,zip_derived_cl8,zip_derived_cl815,zip_derived_cl64,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl455]) ).
thf('447',plain,
( ( sk_ != n6 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27744]) ).
thf(zip_derived_cl800_4059,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4060,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_4061,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25364,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl25355]) ).
thf(zip_derived_cl39_4062,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_4063,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4064,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_4065,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4066,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4067,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4068,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_4069,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25426,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n17 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25364,zip_derived_cl39,zip_derived_cl237,zip_derived_cl8,zip_derived_cl567,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl439]) ).
thf(zip_derived_cl27261,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n17 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl25426]) ).
thf('448',plain,
( ( sk_ != n6 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27261]) ).
thf(zip_derived_cl768_4070,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4071,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_4072,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25164,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl25157]) ).
thf(zip_derived_cl39_4073,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_4074,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4075,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_4076,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4077,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4078,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4079,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25226,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n16 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25164,zip_derived_cl39,zip_derived_cl236,zip_derived_cl8,zip_derived_cl536,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl437]) ).
thf(zip_derived_cl26958,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n16 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl25226]) ).
thf('449',plain,
( ( sk_ != n6 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26958]) ).
thf(zip_derived_cl736_4080,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4081,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_4082,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24945,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl24936]) ).
thf(zip_derived_cl39_4083,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_4084,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4085,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505_4086,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4087,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4088,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4089,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_4090,plain,
( ( sum @ n12 @ n30 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25007,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n15 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24945,zip_derived_cl39,zip_derived_cl235,zip_derived_cl8,zip_derived_cl505,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl466]) ).
thf(zip_derived_cl26662,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n15 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25007]) ).
thf('450',plain,
( ( sk_ != n6 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26662]) ).
thf(zip_derived_cl704_4091,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4092,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_4093,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24682,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl24673]) ).
thf(zip_derived_cl39_4094,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_4095,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4096,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_4097,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4098,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4099,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4100,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_4101,plain,
( ( sum @ n12 @ n28 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24744,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24682,zip_derived_cl39,zip_derived_cl234,zip_derived_cl8,zip_derived_cl474,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226,zip_derived_cl464]) ).
thf(zip_derived_cl26398,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n14 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl24744]) ).
thf('451',plain,
( ( sk_ != n6 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26398]) ).
thf(zip_derived_cl672_4102,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4103,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_4104,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24416,plain,
( ( ( sum @ ( sum @ ( pred @ n6 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n6 ) ) )
!= ( sum @ ( sum @ ( pred @ n6 ) @ ( succ @ n6 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1528,zip_derived_cl24407]) ).
thf(zip_derived_cl39_4105,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_4106,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4107,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_4108,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4109,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4110,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4111,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24478,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n12 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24416,zip_derived_cl39,zip_derived_cl233,zip_derived_cl8,zip_derived_cl443,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226]) ).
thf(zip_derived_cl462,plain,
( ( sum @ n12 @ n26 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25135,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24478,zip_derived_cl462]) ).
thf(zip_derived_cl26134,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n13 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25135]) ).
thf('452',plain,
( ( sk_ != n6 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26134]) ).
thf(zip_derived_cl1528_4112,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_4113,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20185,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_cl1528,zip_derived_cl20178]) ).
thf(zip_derived_cl39_4114,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4115,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4116,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4117,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20248,plain,
( ( ( sum @ ( sum @ n5 @ n5 ) @ ( sum @ n3 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20185,zip_derived_cl39,zip_derived_cl8,zip_derived_cl39,zip_derived_cl8]) ).
thf(zip_derived_cl224_4118,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_4119,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_4120,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4121,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25789,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n4 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20248,zip_derived_cl224,zip_derived_cl164,zip_derived_cl384,zip_derived_cl226,zip_derived_cl444]) ).
thf('453',plain,
( ( sk_ != n6 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25789]) ).
thf(zip_derived_cl608_4122,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4123,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_4124,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23880,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_cl1528,zip_derived_cl23871]) ).
thf(zip_derived_cl39_4125,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_4126,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4127,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_4128,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4129,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4130,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4131,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23942,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n12 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23880,zip_derived_cl39,zip_derived_cl231,zip_derived_cl8,zip_derived_cl381,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226]) ).
thf(zip_derived_cl458,plain,
( ( sum @ n12 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25126,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23942,zip_derived_cl458]) ).
thf(zip_derived_cl25606,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n11 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl25126]) ).
thf('454',plain,
( ( sk_ != n6 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25606]) ).
thf(zip_derived_cl1528_4132,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_4133,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18778,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_cl1528,zip_derived_cl18771]) ).
thf(zip_derived_cl39_4134,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4135,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4136,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4137,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18841,plain,
( ( ( sum @ ( sum @ n5 @ n3 ) @ ( sum @ n1 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18778,zip_derived_cl39,zip_derived_cl8,zip_derived_cl39,zip_derived_cl8]) ).
thf(zip_derived_cl222_4138,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_4139,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_4140,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4141,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_4142,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25505,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n2 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18841,zip_derived_cl222,zip_derived_cl102,zip_derived_cl320,zip_derived_cl226,zip_derived_cl440]) ).
thf('455',plain,
( ( sk_ != n6 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25505]) ).
thf(zip_derived_cl576_4143,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1528_4144,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4145,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23617,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_cl1528,zip_derived_cl23610]) ).
thf(zip_derived_cl39_4146,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_4147,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4148,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350_4149,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4150,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4151,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4152,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23679,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n12 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23617,zip_derived_cl39,zip_derived_cl230,zip_derived_cl8,zip_derived_cl350,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226]) ).
thf(zip_derived_cl456,plain,
( ( sum @ n12 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25120,plain,
( ( ( sum @ n16 @ n16 )
!= n1 )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23679,zip_derived_cl456]) ).
thf(zip_derived_cl25344,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n10 )
& ( sk_ = n6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl25120]) ).
thf('456',plain,
( ( sk_ != n6 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25344]) ).
thf(zip_derived_cl1528_4153,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_4154,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18369,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_cl1528,zip_derived_cl18362]) ).
thf(zip_derived_cl39_4155,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4156,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4157,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4158,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18432,plain,
( ( ( sum @ ( sum @ n5 @ n2 ) @ ( sum @ n0 @ n7 ) )
!= ( sum @ ( sum @ n5 @ n7 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18369,zip_derived_cl39,zip_derived_cl8,zip_derived_cl39,zip_derived_cl8]) ).
thf(zip_derived_cl221_4159,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4160,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_4161,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4162,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_4163,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25292,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n1 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18432,zip_derived_cl221,zip_derived_cl71,zip_derived_cl288,zip_derived_cl226,zip_derived_cl438]) ).
thf('457',plain,
( ( sk_ != n6 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25292]) ).
thf(zip_derived_cl1528_4164,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_4165,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22869,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_cl1528,zip_derived_cl22862]) ).
thf(zip_derived_cl39_4166,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_4167,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4168,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_4169,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4170,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4171,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4172,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22931,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ n12 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22869,zip_derived_cl39,zip_derived_cl228,zip_derived_cl8,zip_derived_cl288,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226]) ).
thf(zip_derived_cl512_4173,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452,plain,
( ( sum @ n12 @ n16 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25097,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n8 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22931,zip_derived_cl512,zip_derived_cl452]) ).
thf('458',plain,
( ( sk_ != n6 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25097]) ).
thf(zip_derived_cl1528_4174,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_4175,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22240,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_cl1528,zip_derived_cl22233]) ).
thf(zip_derived_cl39_4176,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_4177,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4178,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_4179,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl39_4180,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8_4181,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4182,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22302,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n12 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22240,zip_derived_cl39,zip_derived_cl227,zip_derived_cl8,zip_derived_cl257,zip_derived_cl39,zip_derived_cl8,zip_derived_cl226]) ).
thf(zip_derived_cl480_4183,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_4184,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25083,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n7 )
& ( sk_ = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22302,zip_derived_cl480,zip_derived_cl450]) ).
thf('459',plain,
( ( sk_ != n6 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25083]) ).
thf(zip_derived_cl1522_4185,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4186,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29298,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl29297]) ).
thf(zip_derived_cl33_4187,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4188,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl964,plain,
( ( sum @ n29 @ n1 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_4189,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4190,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29360,plain,
( ( ( sum @ ( sum @ n30 @ n0 ) @ n30 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29298,zip_derived_cl33,zip_derived_cl2,zip_derived_cl964,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl994,plain,
( ( sum @ n30 @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1024_4191,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_4192,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4193,plain,
( ( sum @ n0 @ n29 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30181,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n30 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29360,zip_derived_cl994,zip_derived_cl1024,zip_derived_cl995,zip_derived_cl93]) ).
thf('460',plain,
( ( sk_ != n0 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30181]) ).
thf(zip_derived_cl1537_4194,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4195,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29313,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl29297]) ).
thf(zip_derived_cl48_4196,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4197,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_4198,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4199,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_4200,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29375,plain,
( ( ( sum @ n14 @ ( sum @ n29 @ n16 ) )
!= ( sum @ n30 @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29313,zip_derived_cl48,zip_derived_cl498,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl979,plain,
( ( sum @ n29 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_4201,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1023_4202,plain,
( ( sum @ n30 @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30169,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n30 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29375,zip_derived_cl979,zip_derived_cl512,zip_derived_cl1023]) ).
thf('461',plain,
( ( sk__1 != n30 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30169]) ).
thf(zip_derived_cl1548_4203,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4204,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29324,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl29297]) ).
thf(zip_derived_cl59_4205,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl839_4206,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_4207,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4208,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_4209,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_4210,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744_4211,plain,
( ( sum @ n21 @ n29 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29386,plain,
( ( ( sum @ n25 @ ( sum @ n29 @ n27 ) )
!= n19 )
<= ( ( sk__1 = n30 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29324,zip_derived_cl59,zip_derived_cl839,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28,zip_derived_cl866,zip_derived_cl744]) ).
thf(zip_derived_cl990_4212,plain,
( ( sum @ n29 @ n27 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl864_4213,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29845,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n30 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29386,zip_derived_cl990,zip_derived_cl864]) ).
thf('462',plain,
( ( sk__1 != n30 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29845]) ).
thf(zip_derived_cl1547_4214,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4215,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29323,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl29297]) ).
thf(zip_derived_cl58_4216,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl808,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_4217,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4218,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_4219,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_4220,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682_4221,plain,
( ( sum @ n19 @ n29 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29385,plain,
( ( ( sum @ n24 @ ( sum @ n29 @ n26 ) )
!= n17 )
<= ( ( sk__1 = n30 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29323,zip_derived_cl58,zip_derived_cl808,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27,zip_derived_cl834,zip_derived_cl682]) ).
thf(zip_derived_cl989,plain,
( ( sum @ n29 @ n26 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832_4222,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29843,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n30 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29385,zip_derived_cl989,zip_derived_cl832]) ).
thf('463',plain,
( ( sk__1 != n30 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29843]) ).
thf(zip_derived_cl1546_4223,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4224,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29322,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl29297]) ).
thf(zip_derived_cl57_4225,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl777_4226,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4227,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4228,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4229,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_4230,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl620_4231,plain,
( ( sum @ n17 @ n29 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29384,plain,
( ( ( sum @ n23 @ ( sum @ n29 @ n25 ) )
!= n15 )
<= ( ( sk__1 = n30 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29322,zip_derived_cl57,zip_derived_cl777,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26,zip_derived_cl802,zip_derived_cl620]) ).
thf(zip_derived_cl988,plain,
( ( sum @ n29 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_4232,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29841,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n30 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29384,zip_derived_cl988,zip_derived_cl800]) ).
thf('464',plain,
( ( sk_ != n24 )
| ( sk__1 != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29841]) ).
thf(zip_derived_cl1545_4233,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4234,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29321,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl29297]) ).
thf(zip_derived_cl56_4235,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_4236,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4237,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_4238,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_4239,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558_4240,plain,
( ( sum @ n15 @ n29 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29383,plain,
( ( ( sum @ n22 @ ( sum @ n29 @ n24 ) )
!= n13 )
<= ( ( sk__1 = n30 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29321,zip_derived_cl56,zip_derived_cl746,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25,zip_derived_cl770,zip_derived_cl558]) ).
thf(zip_derived_cl987_4241,plain,
( ( sum @ n29 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_4242,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29833,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n30 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29383,zip_derived_cl987,zip_derived_cl768]) ).
thf('465',plain,
( ( sk__1 != n30 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29833]) ).
thf(zip_derived_cl1544_4243,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4244,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29320,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl29297]) ).
thf(zip_derived_cl55_4245,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_4246,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4247,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_4248,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_4249,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_4250,plain,
( ( sum @ n13 @ n29 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29382,plain,
( ( ( sum @ n21 @ ( sum @ n29 @ n23 ) )
!= n11 )
<= ( ( sk__1 = n30 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29320,zip_derived_cl55,zip_derived_cl715,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl496]) ).
thf(zip_derived_cl986_4251,plain,
( ( sum @ n29 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_4252,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29831,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n30 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29382,zip_derived_cl986,zip_derived_cl736]) ).
thf('466',plain,
( ( sk__1 != n30 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29831]) ).
thf(zip_derived_cl1543_4253,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4254,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29319,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl29297]) ).
thf(zip_derived_cl54_4255,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4256,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4257,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4258,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_4259,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4260,plain,
( ( sum @ n11 @ n29 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29381,plain,
( ( ( sum @ n20 @ ( sum @ n29 @ n22 ) )
!= n9 )
<= ( ( sk__1 = n30 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29319,zip_derived_cl54,zip_derived_cl684,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl434]) ).
thf(zip_derived_cl985,plain,
( ( sum @ n29 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_4261,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29824,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n30 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29381,zip_derived_cl985,zip_derived_cl704]) ).
thf('467',plain,
( ( sk__1 != n30 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29824]) ).
thf(zip_derived_cl1542_4262,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4263,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29318,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl29297]) ).
thf(zip_derived_cl53_4264,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4265,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4266,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4267,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_4268,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_4269,plain,
( ( sum @ n9 @ n29 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29380,plain,
( ( ( sum @ n19 @ ( sum @ n29 @ n21 ) )
!= n7 )
<= ( ( sk__1 = n30 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29318,zip_derived_cl53,zip_derived_cl653,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl372]) ).
thf(zip_derived_cl984_4270,plain,
( ( sum @ n29 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_4271,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29822,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n30 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29380,zip_derived_cl984,zip_derived_cl672]) ).
thf('468',plain,
( ( sk__1 != n30 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29822]) ).
thf(zip_derived_cl1541_4272,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4273,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29317,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl29297]) ).
thf(zip_derived_cl52_4274,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4275,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_4276,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4277,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_4278,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_4279,plain,
( ( sum @ n7 @ n29 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29379,plain,
( ( ( sum @ n18 @ ( sum @ n29 @ n20 ) )
!= n5 )
<= ( ( sk__1 = n30 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29317,zip_derived_cl52,zip_derived_cl622,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl310]) ).
thf(zip_derived_cl983,plain,
( ( sum @ n29 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_4280,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29820,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n30 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29379,zip_derived_cl983,zip_derived_cl640]) ).
thf('469',plain,
( ( sk__1 != n30 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29820]) ).
thf(zip_derived_cl1540_4281,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4282,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29316,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl29297]) ).
thf(zip_derived_cl51_4283,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591_4284,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4285,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_4286,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4287,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_4288,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_4289,plain,
( ( sum @ n5 @ n29 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29378,plain,
( ( ( sum @ n17 @ ( sum @ n29 @ n19 ) )
!= n3 )
<= ( ( sk__1 = n30 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29316,zip_derived_cl51,zip_derived_cl591,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl248]) ).
thf(zip_derived_cl982_4290,plain,
( ( sum @ n29 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_4291,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29812,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n30 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29378,zip_derived_cl982,zip_derived_cl608]) ).
thf('470',plain,
( ( sk__1 != n30 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29812]) ).
thf(zip_derived_cl1539_4292,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4293,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29315,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl29297]) ).
thf(zip_derived_cl50_4294,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4295,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_4296,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4297,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_4298,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_4299,plain,
( ( sum @ n3 @ n29 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29377,plain,
( ( ( sum @ n16 @ ( sum @ n29 @ n18 ) )
!= n1 )
<= ( ( sk__1 = n30 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29315,zip_derived_cl50,zip_derived_cl560,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl186]) ).
thf(zip_derived_cl981_4300,plain,
( ( sum @ n29 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_4301,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29810,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n30 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29377,zip_derived_cl981,zip_derived_cl576]) ).
thf('471',plain,
( ( sk__1 != n30 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29810]) ).
thf(zip_derived_cl1538_4302,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4303,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29314,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl29297]) ).
thf(zip_derived_cl49_4304,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4305,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_4306,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4307,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_4308,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_4309,plain,
( ( sum @ n1 @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29376,plain,
( ( ( sum @ n15 @ ( sum @ n29 @ n17 ) )
!= n30 )
<= ( ( sk__1 = n30 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29314,zip_derived_cl49,zip_derived_cl529,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl124]) ).
thf(zip_derived_cl980,plain,
( ( sum @ n29 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_4310,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29803,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n30 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29376,zip_derived_cl980,zip_derived_cl544]) ).
thf('472',plain,
( ( sk__1 != n30 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29803]) ).
thf(zip_derived_cl1536_4311,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4312,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29312,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl29297]) ).
thf(zip_derived_cl47_4313,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4314,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4315,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4316,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_4317,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl961_4318,plain,
( ( sum @ n28 @ n29 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29374,plain,
( ( ( sum @ n13 @ ( sum @ n29 @ n15 ) )
!= n26 )
<= ( ( sk__1 = n30 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29312,zip_derived_cl47,zip_derived_cl467,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482,zip_derived_cl961]) ).
thf(zip_derived_cl978,plain,
( ( sum @ n29 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_4319,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29801,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n30 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29374,zip_derived_cl978,zip_derived_cl480]) ).
thf('473',plain,
( ( sk__1 != n30 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29801]) ).
thf(zip_derived_cl1535_4320,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4321,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29311,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl29297]) ).
thf(zip_derived_cl46_4322,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_4323,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4324,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_4325,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4326,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_4327,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl899_4328,plain,
( ( sum @ n26 @ n29 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29373,plain,
( ( ( sum @ n12 @ ( sum @ n29 @ n14 ) )
!= n24 )
<= ( ( sk__1 = n30 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29311,zip_derived_cl46,zip_derived_cl436,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450,zip_derived_cl899]) ).
thf(zip_derived_cl977,plain,
( ( sum @ n29 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_4329,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29799,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n30 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29373,zip_derived_cl977,zip_derived_cl448]) ).
thf('474',plain,
( ( sk__1 != n30 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29799]) ).
thf(zip_derived_cl1534_4330,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4331,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29310,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl29297]) ).
thf(zip_derived_cl45_4332,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_4333,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_4334,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_4335,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_4336,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_4337,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl837_4338,plain,
( ( sum @ n24 @ n29 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29372,plain,
( ( ( sum @ n11 @ ( sum @ n29 @ n13 ) )
!= n22 )
<= ( ( sk__1 = n30 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29310,zip_derived_cl45,zip_derived_cl405,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418,zip_derived_cl837]) ).
thf(zip_derived_cl976_4339,plain,
( ( sum @ n29 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_4340,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29791,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n30 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29372,zip_derived_cl976,zip_derived_cl416]) ).
thf('475',plain,
( ( sk__1 != n30 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29791]) ).
thf(zip_derived_cl1533_4341,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4342,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29309,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl29297]) ).
thf(zip_derived_cl44_4343,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4344,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_4345,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4346,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_4347,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl775_4348,plain,
( ( sum @ n22 @ n29 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29371,plain,
( ( ( sum @ n10 @ ( sum @ n29 @ n12 ) )
!= n20 )
<= ( ( sk__1 = n30 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29309,zip_derived_cl44,zip_derived_cl374,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl775]) ).
thf(zip_derived_cl975_4349,plain,
( ( sum @ n29 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_4350,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29789,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n30 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29371,zip_derived_cl975,zip_derived_cl384]) ).
thf('476',plain,
( ( sk__1 != n30 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29789]) ).
thf(zip_derived_cl1532_4351,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4352,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29308,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl29297]) ).
thf(zip_derived_cl43_4353,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4354,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_4355,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4356,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_4357,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713_4358,plain,
( ( sum @ n20 @ n29 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29370,plain,
( ( ( sum @ n9 @ ( sum @ n29 @ n11 ) )
!= n18 )
<= ( ( sk__1 = n30 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29308,zip_derived_cl43,zip_derived_cl343,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl713]) ).
thf(zip_derived_cl974,plain,
( ( sum @ n29 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_4359,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29782,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n30 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29370,zip_derived_cl974,zip_derived_cl352]) ).
thf('477',plain,
( ( sk__1 != n30 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29782]) ).
thf(zip_derived_cl1531_4360,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4361,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29307,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl29297]) ).
thf(zip_derived_cl42_4362,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_4363,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_4364,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4365,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_4366,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_4367,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651_4368,plain,
( ( sum @ n18 @ n29 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29369,plain,
( ( ( sum @ n8 @ ( sum @ n29 @ n10 ) )
!= n16 )
<= ( ( sk__1 = n30 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29307,zip_derived_cl42,zip_derived_cl312,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl651]) ).
thf(zip_derived_cl973_4369,plain,
( ( sum @ n29 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_4370,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29780,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n30 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29369,zip_derived_cl973,zip_derived_cl320]) ).
thf('478',plain,
( ( sk__1 != n30 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29780]) ).
thf(zip_derived_cl1530_4371,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4372,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29306,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl29297]) ).
thf(zip_derived_cl41_4373,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4374,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4375,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4376,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_4377,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589_4378,plain,
( ( sum @ n16 @ n29 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29368,plain,
( ( ( sum @ n7 @ ( sum @ n29 @ n9 ) )
!= n14 )
<= ( ( sk__1 = n30 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29306,zip_derived_cl41,zip_derived_cl281,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl589]) ).
thf(zip_derived_cl972,plain,
( ( sum @ n29 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_4379,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29778,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n30 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29368,zip_derived_cl972,zip_derived_cl288]) ).
thf('479',plain,
( ( sk__1 != n30 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29778]) ).
thf(zip_derived_cl1529_4380,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4381,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29305,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl29297]) ).
thf(zip_derived_cl40_4382,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_4383,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4384,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4385,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4386,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4387,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527_4388,plain,
( ( sum @ n14 @ n29 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29367,plain,
( ( ( sum @ n6 @ ( sum @ n29 @ n8 ) )
!= n12 )
<= ( ( sk__1 = n30 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29305,zip_derived_cl40,zip_derived_cl250,zip_derived_cl9,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl527]) ).
thf(zip_derived_cl971,plain,
( ( sum @ n29 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_4389,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29529,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n30 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29367,zip_derived_cl971,zip_derived_cl256]) ).
thf('480',plain,
( ( sk__1 != n30 )
| ( sk_ != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29529]) ).
thf(zip_derived_cl1527_4390,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29297_4391,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ n29 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n29 ) )
<= ( sk__1 = n30 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl963,zip_derived_cl18099]) ).
thf(zip_derived_cl29303,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n0 ) @ ( sum @ n29 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n29 ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl29297]) ).
thf(zip_derived_cl38_4392,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_4393,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_4394,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4395,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_4396,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_4397,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_4398,plain,
( ( sum @ n10 @ n29 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29365,plain,
( ( ( sum @ n4 @ ( sum @ n29 @ n6 ) )
!= n8 )
<= ( ( sk__1 = n30 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29303,zip_derived_cl38,zip_derived_cl188,zip_derived_cl7,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl403]) ).
thf(zip_derived_cl969_4399,plain,
( ( sum @ n29 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_4400,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29520,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n30 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29365,zip_derived_cl969,zip_derived_cl192]) ).
thf('481',plain,
( ( sk__1 != n30 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29520]) ).
thf(zip_derived_cl1552_4401,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl8668_4402,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n0 ) @ ( sum @ ( pred @ n30 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n30 ) @ n0 ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2082,zip_derived_cl32,zip_derived_cl32]) ).
thf(zip_derived_cl8699,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n0 ) @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ ( sum @ ( pred @ n30 ) @ n0 ) ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl8668]) ).
thf(zip_derived_cl32_4403,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4404,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8761,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n0 ) @ ( sum @ ( pred @ n30 ) @ n0 ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ n0 ) @ ( sum @ ( pred @ n30 ) @ n0 ) ) )
<= ( ( sk__1 = n30 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8699,zip_derived_cl32,zip_derived_cl32]) ).
thf('482',plain,
( ( sk__1 != n30 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8761]) ).
thf(zip_derived_cl1529_4405,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_4406,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29613,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl29595]) ).
thf(zip_derived_cl40_4407,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_4408,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4409,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4410,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4411,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4412,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_4413,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29677,plain,
( ( ( sum @ n7 @ ( sum @ n30 @ n8 ) )
!= n14 )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29613,zip_derived_cl40,zip_derived_cl251,zip_derived_cl9,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl498]) ).
thf(zip_derived_cl1002,plain,
( ( sum @ n30 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_4414,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30057,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n0 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29677,zip_derived_cl1002,zip_derived_cl288]) ).
thf('483',plain,
( ( sk_ != n7 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30057]) ).
thf(zip_derived_cl1024_4415,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4416,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_4417,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27023,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl26989]) ).
thf(zip_derived_cl40_4418,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_4419,plain,
( ( sum @ n6 @ n24 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4420,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl754,plain,
( ( sum @ n22 @ n8 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4421,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4422,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4423,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513,plain,
( ( sum @ n14 @ n15 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27085,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n23 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27023,zip_derived_cl40,zip_derived_cl274,zip_derived_cl9,zip_derived_cl754,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl513]) ).
thf(zip_derived_cl29995,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n23 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27085]) ).
thf('484',plain,
( ( sk_ != n7 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29995]) ).
thf(zip_derived_cl992_4424,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4425,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_4426,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26725,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl26692]) ).
thf(zip_derived_cl40_4427,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_4428,plain,
( ( sum @ n6 @ n23 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4429,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723,plain,
( ( sum @ n21 @ n8 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4430,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4431,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4432,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl511_4433,plain,
( ( sum @ n14 @ n13 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26787,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n22 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26725,zip_derived_cl40,zip_derived_cl273,zip_derived_cl9,zip_derived_cl723,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl511]) ).
thf(zip_derived_cl29542,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n22 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26787]) ).
thf('485',plain,
( ( sk_ != n7 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29542]) ).
thf(zip_derived_cl1529_4434,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_4435,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29126,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl29056]) ).
thf(zip_derived_cl40_4436,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_4437,plain,
( ( sum @ n6 @ n30 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4438,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl940_4439,plain,
( ( sum @ n28 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_4440,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4441,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4442,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4443,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525_4444,plain,
( ( sum @ n14 @ n27 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29193,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n29 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29126,zip_derived_cl40,zip_derived_cl280,zip_derived_cl9,zip_derived_cl940,zip_derived_cl224,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl525]) ).
thf('486',plain,
( ( sk_ != n7 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29193]) ).
thf(zip_derived_cl960_4445,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4446,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_4447,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26450,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl26424]) ).
thf(zip_derived_cl40_4448,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_4449,plain,
( ( sum @ n6 @ n22 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4450,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl692_4451,plain,
( ( sum @ n20 @ n8 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4452,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4453,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4454,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl509_4455,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26512,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n21 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26450,zip_derived_cl40,zip_derived_cl272,zip_derived_cl9,zip_derived_cl692,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl509]) ).
thf(zip_derived_cl29010,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n21 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26512]) ).
thf('487',plain,
( ( sk_ != n7 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29010]) ).
thf(zip_derived_cl1529_4456,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_4457,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28754,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl28682]) ).
thf(zip_derived_cl40_4458,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_4459,plain,
( ( sum @ n6 @ n29 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4460,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl909_4461,plain,
( ( sum @ n27 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_4462,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4463,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4464,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4465,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523_4466,plain,
( ( sum @ n14 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28820,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n28 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28754,zip_derived_cl40,zip_derived_cl279,zip_derived_cl9,zip_derived_cl909,zip_derived_cl192,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl523]) ).
thf('488',plain,
( ( sk_ != n7 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28820]) ).
thf(zip_derived_cl928_4467,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4468,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_4469,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26175,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl26155]) ).
thf(zip_derived_cl40_4470,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_4471,plain,
( ( sum @ n6 @ n21 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4472,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661,plain,
( ( sum @ n19 @ n8 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4473,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4474,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4475,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26237,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n20 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26175,zip_derived_cl40,zip_derived_cl271,zip_derived_cl9,zip_derived_cl661,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl507]) ).
thf(zip_derived_cl28635,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n20 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26237]) ).
thf('489',plain,
( ( sk_ != n7 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28635]) ).
thf(zip_derived_cl896_4476,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4477,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_4478,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25905,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl25889]) ).
thf(zip_derived_cl40_4479,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_4480,plain,
( ( sum @ n6 @ n20 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4481,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630,plain,
( ( sum @ n18 @ n8 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4482,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4483,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4484,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505_4485,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25967,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n19 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25905,zip_derived_cl40,zip_derived_cl270,zip_derived_cl9,zip_derived_cl630,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl505]) ).
thf(zip_derived_cl28284,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n19 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl25967]) ).
thf('490',plain,
( ( sk_ != n7 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28284]) ).
thf(zip_derived_cl1529_4486,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_4487,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27683,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl27632]) ).
thf(zip_derived_cl40_4488,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_4489,plain,
( ( sum @ n6 @ n26 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4490,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl816,plain,
( ( sum @ n24 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_4491,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4492,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4493,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4494,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517_4495,plain,
( ( sum @ n14 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27746,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n25 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27683,zip_derived_cl40,zip_derived_cl276,zip_derived_cl9,zip_derived_cl816,zip_derived_cl96,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl517]) ).
thf('491',plain,
( ( sk_ != n7 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27746]) ).
thf(zip_derived_cl832_4496,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4497,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_4498,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25365,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl25355]) ).
thf(zip_derived_cl40_4499,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_4500,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4501,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl568,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4502,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4503,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4504,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501_4505,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25427,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n17 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25365,zip_derived_cl40,zip_derived_cl268,zip_derived_cl9,zip_derived_cl568,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl501]) ).
thf(zip_derived_cl27594,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n17 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl25427]) ).
thf('492',plain,
( ( sk_ != n7 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27594]) ).
thf(zip_derived_cl1529_4506,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_4507,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27337,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl27296]) ).
thf(zip_derived_cl40_4508,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_4509,plain,
( ( sum @ n6 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4510,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl785_4511,plain,
( ( sum @ n23 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4512,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4513,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4514,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4515,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_4516,plain,
( ( sum @ n14 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27399,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n24 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27337,zip_derived_cl40,zip_derived_cl275,zip_derived_cl9,zip_derived_cl785,zip_derived_cl64,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl515]) ).
thf('493',plain,
( ( sk_ != n7 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27399]) ).
thf(zip_derived_cl800_4517,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4518,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_4519,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25165,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl25157]) ).
thf(zip_derived_cl40_4520,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_4521,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4522,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl537,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4523,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4524,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4525,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25227,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n16 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25165,zip_derived_cl40,zip_derived_cl267,zip_derived_cl9,zip_derived_cl537,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258,zip_derived_cl499]) ).
thf(zip_derived_cl27260,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n16 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl25227]) ).
thf('494',plain,
( ( sk_ != n7 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27260]) ).
thf(zip_derived_cl768_4526,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4527,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_4528,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24946,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl24936]) ).
thf(zip_derived_cl40_4529,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_4530,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4531,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4532,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4533,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4534,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25008,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n14 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24946,zip_derived_cl40,zip_derived_cl266,zip_derived_cl9,zip_derived_cl506,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258]) ).
thf(zip_derived_cl528_4535,plain,
( ( sum @ n14 @ n30 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25141,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25008,zip_derived_cl528]) ).
thf(zip_derived_cl26957,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n15 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl25141]) ).
thf('495',plain,
( ( sk_ != n7 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26957]) ).
thf(zip_derived_cl736_4536,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4537,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_4538,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24683,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl24673]) ).
thf(zip_derived_cl40_4539,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_4540,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4541,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4542,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4543,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4544,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24745,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n14 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24683,zip_derived_cl40,zip_derived_cl265,zip_derived_cl9,zip_derived_cl475,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258]) ).
thf(zip_derived_cl526_4545,plain,
( ( sum @ n14 @ n28 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25139,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24745,zip_derived_cl526]) ).
thf(zip_derived_cl26663,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n14 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25139]) ).
thf('496',plain,
( ( sk_ != n7 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26663]) ).
thf(zip_derived_cl704_4546,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4547,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_4548,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24417,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl24407]) ).
thf(zip_derived_cl40_4549,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_4550,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4551,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_4552,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4553,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4554,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4555,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24479,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n14 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24417,zip_derived_cl40,zip_derived_cl264,zip_derived_cl9,zip_derived_cl444,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258]) ).
thf(zip_derived_cl524,plain,
( ( sum @ n14 @ n26 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25136,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24479,zip_derived_cl524]) ).
thf(zip_derived_cl26400,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n13 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25136]) ).
thf('497',plain,
( ( sk_ != n7 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26400]) ).
thf(zip_derived_cl640_4556,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4557,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_4558,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23881,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_cl1529,zip_derived_cl23871]) ).
thf(zip_derived_cl40_4559,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_4560,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4561,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4562,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4563,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4564,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23943,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n14 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23881,zip_derived_cl40,zip_derived_cl262,zip_derived_cl9,zip_derived_cl382,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258]) ).
thf(zip_derived_cl520,plain,
( ( sum @ n14 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25127,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23943,zip_derived_cl520]) ).
thf(zip_derived_cl25872,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n11 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl25127]) ).
thf('498',plain,
( ( sk_ != n7 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25872]) ).
thf(zip_derived_cl1529_4565,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_4566,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20186,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_cl1529,zip_derived_cl20178]) ).
thf(zip_derived_cl40_4567,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4568,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4569,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4570,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20249,plain,
( ( ( sum @ ( sum @ n6 @ n5 ) @ ( sum @ n3 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20186,zip_derived_cl40,zip_derived_cl9,zip_derived_cl40,zip_derived_cl9]) ).
thf(zip_derived_cl255_4571,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_4572,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_4573,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4574,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506_4575,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25793,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n4 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20249,zip_derived_cl255,zip_derived_cl165,zip_derived_cl416,zip_derived_cl258,zip_derived_cl506]) ).
thf('499',plain,
( ( sk_ != n7 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25793]) ).
thf(zip_derived_cl608_4576,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4577,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4578,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23618,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_cl1529,zip_derived_cl23610]) ).
thf(zip_derived_cl40_4579,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_4580,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4581,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_4582,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4583,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4584,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4585,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23680,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n14 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23618,zip_derived_cl40,zip_derived_cl261,zip_derived_cl9,zip_derived_cl351,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258]) ).
thf(zip_derived_cl518,plain,
( ( sum @ n14 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25121,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23680,zip_derived_cl518]) ).
thf(zip_derived_cl25605,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n10 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl25121]) ).
thf('500',plain,
( ( sk_ != n7 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25605]) ).
thf(zip_derived_cl1529_4586,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_4587,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18779,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_cl1529,zip_derived_cl18771]) ).
thf(zip_derived_cl40_4588,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4589,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4590,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4591,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18842,plain,
( ( ( sum @ ( sum @ n6 @ n3 ) @ ( sum @ n1 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18779,zip_derived_cl40,zip_derived_cl9,zip_derived_cl40,zip_derived_cl9]) ).
thf(zip_derived_cl253_4592,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_4593,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_4594,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4595,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_4596,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25507,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n2 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18842,zip_derived_cl253,zip_derived_cl103,zip_derived_cl352,zip_derived_cl258,zip_derived_cl502]) ).
thf('501',plain,
( ( sk_ != n7 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25507]) ).
thf(zip_derived_cl1529_4597,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_4598,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18370,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_cl1529,zip_derived_cl18362]) ).
thf(zip_derived_cl40_4599,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4600,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4601,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4602,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18433,plain,
( ( ( sum @ ( sum @ n6 @ n2 ) @ ( sum @ n0 @ n8 ) )
!= ( sum @ ( sum @ n6 @ n8 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18370,zip_derived_cl40,zip_derived_cl9,zip_derived_cl40,zip_derived_cl9]) ).
thf(zip_derived_cl252_4603,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4604,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_4605,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4606,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500_4607,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25294,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n1 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18433,zip_derived_cl252,zip_derived_cl72,zip_derived_cl320,zip_derived_cl258,zip_derived_cl500]) ).
thf('502',plain,
( ( sk_ != n7 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25294]) ).
thf(zip_derived_cl544_4608,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1529_4609,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_4610,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22870,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_cl1529,zip_derived_cl22862]) ).
thf(zip_derived_cl40_4611,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_4612,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4613,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl40_4614,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4615,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_4616,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22932,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n14 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22870,zip_derived_cl40,zip_derived_cl259,zip_derived_cl9,zip_derived_cl289,zip_derived_cl40,zip_derived_cl9,zip_derived_cl258]) ).
thf(zip_derived_cl514_4617,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25099,plain,
( ( ( sum @ n15 @ n15 )
!= n30 )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22932,zip_derived_cl514]) ).
thf(zip_derived_cl25147,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n8 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl25099]) ).
thf('503',plain,
( ( sk_ != n7 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25147]) ).
thf(zip_derived_cl1498_4618,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1529_4619,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_4620,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_cl2174,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n7 ) ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl0]) ).
thf(zip_derived_cl9_4621,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4622,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2183,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n8 ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ n8 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n7 ) ),
inference(demod,[status(thm)],[zip_derived_cl2174,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl3433,plain,
( ( ( sum @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) @ ( sum @ ( pred @ n7 ) @ n8 ) )
!= ( sum @ ( sum @ ( pred @ n7 ) @ n8 ) @ ( sum @ ( pred @ n7 ) @ ( succ @ n7 ) ) ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl2183]) ).
thf(zip_derived_cl9_4623,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9_4624,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3495,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_cl3433,zip_derived_cl9,zip_derived_cl9]) ).
thf('504',plain,
( ( sk_ != n7 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3495]) ).
thf(zip_derived_cl974_4625,plain,
( ( sum @ n29 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4626,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4627,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23641,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl23610]) ).
thf(zip_derived_cl63_4628,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4629,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_4630,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4631,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4632,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23704,plain,
( ( ( sum @ ( sum @ n29 @ n11 ) @ n9 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23641,zip_derived_cl63,zip_derived_cl32,zip_derived_cl343,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29443,plain,
( ( ( sum @ n9 @ n9 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl974,zip_derived_cl23704]) ).
thf(zip_derived_cl352_4633,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4634,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29444,plain,
( ( n18
!= ( sum @ n29 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29443,zip_derived_cl352,zip_derived_cl963]) ).
thf(zip_derived_cl983_4635,plain,
( ( sum @ n29 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29495,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n10 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29444,zip_derived_cl983]) ).
thf('505',plain,
( ( sk__1 != n10 )
| ( sk_ != n30 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29495]) ).
thf(zip_derived_cl960_4636,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_4637,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4638,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23629,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_cl1540,zip_derived_cl23610]) ).
thf(zip_derived_cl51_4639,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4640,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_4641,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_4642,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23692,plain,
( ( ( sum @ ( sum @ n17 @ n11 ) @ ( sum @ n9 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23629,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl602_4643,plain,
( ( sum @ n17 @ n11 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_4644,plain,
( ( sum @ n9 @ n19 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_4645,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_4646,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26638,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23692,zip_derived_cl602,zip_derived_cl362,zip_derived_cl610,zip_derived_cl239]) ).
thf(zip_derived_cl29012,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n10 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26638]) ).
thf('506',plain,
( ( sk__1 != n10 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29012]) ).
thf(zip_derived_cl952_4647,plain,
( ( sum @ n28 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_4648,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4649,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23625,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_cl1536,zip_derived_cl23610]) ).
thf(zip_derived_cl47_4650,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4651,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_4652,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_4653,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23688,plain,
( ( ( sum @ ( sum @ n13 @ n11 ) @ ( sum @ n9 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23625,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl478_4654,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_4655,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_4656,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26634,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n28 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23688,zip_derived_cl478,zip_derived_cl358,zip_derived_cl482]) ).
thf(zip_derived_cl28964,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl952,zip_derived_cl26634]) ).
thf(zip_derived_cl832_4657,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28965,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n10 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28964,zip_derived_cl832]) ).
thf('507',plain,
( ( sk__1 != n10 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28965]) ).
thf(zip_derived_cl928_4658,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_4659,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4660,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23628,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_cl1539,zip_derived_cl23610]) ).
thf(zip_derived_cl50_4661,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4662,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_4663,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_4664,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23691,plain,
( ( ( sum @ ( sum @ n16 @ n11 ) @ ( sum @ n9 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23628,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl571_4665,plain,
( ( sum @ n16 @ n11 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_4666,plain,
( ( sum @ n9 @ n18 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_4667,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_4668,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26637,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23691,zip_derived_cl571,zip_derived_cl361,zip_derived_cl578,zip_derived_cl177]) ).
thf(zip_derived_cl28641,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n10 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26637]) ).
thf('508',plain,
( ( sk__1 != n10 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28641]) ).
thf(zip_derived_cl896_4669,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_4670,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4671,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23627,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_cl1538,zip_derived_cl23610]) ).
thf(zip_derived_cl49_4672,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4673,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_4674,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_4675,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23690,plain,
( ( ( sum @ ( sum @ n15 @ n11 ) @ ( sum @ n9 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23627,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl540_4676,plain,
( ( sum @ n15 @ n11 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_4677,plain,
( ( sum @ n9 @ n17 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_4678,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_4679,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26636,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23690,zip_derived_cl540,zip_derived_cl360,zip_derived_cl546,zip_derived_cl115]) ).
thf(zip_derived_cl28292,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n10 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26636]) ).
thf('509',plain,
( ( sk__1 != n10 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28292]) ).
thf(zip_derived_cl890_4680,plain,
( ( sum @ n26 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_4681,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4682,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23624,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_cl1535,zip_derived_cl23610]) ).
thf(zip_derived_cl46_4683,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_4684,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_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_cl23687,plain,
( ( ( sum @ ( sum @ n12 @ n11 ) @ ( sum @ n9 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23624,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl447_4687,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_4688,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_4689,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26633,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n26 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23687,zip_derived_cl447,zip_derived_cl357,zip_derived_cl450]) ).
thf(zip_derived_cl28228,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl890,zip_derived_cl26633]) ).
thf(zip_derived_cl800_4690,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28229,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n10 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28228,zip_derived_cl800]) ).
thf('510',plain,
( ( sk__1 != n10 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28229]) ).
thf(zip_derived_cl866_4691,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_4692,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4693,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23637,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n11 ) @ ( sum @ n9 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl23610]) ).
thf(zip_derived_cl59_4694,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_4695,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4696,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_4697,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23700,plain,
( ( ( sum @ ( sum @ n25 @ n11 ) @ ( sum @ n9 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23637,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl370_4698,plain,
( ( sum @ n9 @ n27 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26647,plain,
( ( ( sum @ ( sum @ n25 @ n11 ) @ n5 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23700,zip_derived_cl370]) ).
thf(zip_derived_cl27981,plain,
( ( ( sum @ ( sum @ n25 @ n11 ) @ n5 )
!= ( sum @ n21 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl26647]) ).
thf(zip_derived_cl850_4699,plain,
( ( sum @ n25 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_4700,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735,plain,
( ( sum @ n21 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28004,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n10 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27981,zip_derived_cl850,zip_derived_cl224,zip_derived_cl735]) ).
thf('511',plain,
( ( sk__1 != n10 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28004]) ).
thf(zip_derived_cl834_4701,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_4702,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4703,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23636,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_cl1547,zip_derived_cl23610]) ).
thf(zip_derived_cl58_4704,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_4705,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4706,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_4707,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23699,plain,
( ( ( sum @ ( sum @ n24 @ n11 ) @ ( sum @ n9 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23636,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl369,plain,
( ( sum @ n9 @ n26 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26646,plain,
( ( ( sum @ ( sum @ n24 @ n11 ) @ n4 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23699,zip_derived_cl369]) ).
thf(zip_derived_cl27642,plain,
( ( ( sum @ ( sum @ n24 @ n11 ) @ n4 )
!= ( sum @ n19 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl26646]) ).
thf(zip_derived_cl819,plain,
( ( sum @ n24 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_4708,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl673,plain,
( ( sum @ n19 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27662,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n10 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27642,zip_derived_cl819,zip_derived_cl192,zip_derived_cl673]) ).
thf('512',plain,
( ( sk__1 != n10 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27662]) ).
thf(zip_derived_cl828,plain,
( ( sum @ n24 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_4709,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4710,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23623,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_cl1534,zip_derived_cl23610]) ).
thf(zip_derived_cl45_4711,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_4712,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_4713,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_4714,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23686,plain,
( ( ( sum @ ( sum @ n11 @ n11 ) @ ( sum @ n9 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23623,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl416_4715,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_4716,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_4717,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26632,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n24 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23686,zip_derived_cl416,zip_derived_cl356,zip_derived_cl418]) ).
thf(zip_derived_cl27557,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl828,zip_derived_cl26632]) ).
thf(zip_derived_cl768_4718,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27558,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n10 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27557,zip_derived_cl768]) ).
thf('513',plain,
( ( sk__1 != n10 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27558]) ).
thf(zip_derived_cl802_4719,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_4720,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4721,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23635,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_cl1546,zip_derived_cl23610]) ).
thf(zip_derived_cl57_4722,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4723,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4724,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_4725,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23698,plain,
( ( ( sum @ ( sum @ n23 @ n11 ) @ ( sum @ n9 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23635,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl368,plain,
( ( sum @ n9 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26645,plain,
( ( ( sum @ ( sum @ n23 @ n11 ) @ n3 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23698,zip_derived_cl368]) ).
thf(zip_derived_cl27306,plain,
( ( ( sum @ ( sum @ n23 @ n11 ) @ n3 )
!= ( sum @ n17 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl26645]) ).
thf(zip_derived_cl788_4726,plain,
( ( sum @ n23 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_4727,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611_4728,plain,
( ( sum @ n17 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27322,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n10 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27306,zip_derived_cl788,zip_derived_cl160,zip_derived_cl611]) ).
thf('514',plain,
( ( sk_ != n24 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27322]) ).
thf(zip_derived_cl770_4729,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_4730,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4731,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23634,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_cl1545,zip_derived_cl23610]) ).
thf(zip_derived_cl56_4732,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_4733,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4734,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_4735,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23697,plain,
( ( ( sum @ ( sum @ n22 @ n11 ) @ ( sum @ n9 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23634,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl367_4736,plain,
( ( sum @ n9 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26644,plain,
( ( ( sum @ ( sum @ n22 @ n11 ) @ n2 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23697,zip_derived_cl367]) ).
thf(zip_derived_cl26999,plain,
( ( ( sum @ ( sum @ n22 @ n11 ) @ n2 )
!= ( sum @ n15 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl26644]) ).
thf(zip_derived_cl757,plain,
( ( sum @ n22 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_4737,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549_4738,plain,
( ( sum @ n15 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27012,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n10 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26999,zip_derived_cl757,zip_derived_cl128,zip_derived_cl549]) ).
thf('515',plain,
( ( sk__1 != n10 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27012]) ).
thf(zip_derived_cl766,plain,
( ( sum @ n22 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_4739,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4740,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23622,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_cl1533,zip_derived_cl23610]) ).
thf(zip_derived_cl44_4741,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4742,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_4743,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_4744,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23685,plain,
( ( ( sum @ ( sum @ n10 @ n11 ) @ ( sum @ n9 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23622,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl385,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_4745,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_4746,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26631,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n22 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23685,zip_derived_cl385,zip_derived_cl355,zip_derived_cl386]) ).
thf(zip_derived_cl26940,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl766,zip_derived_cl26631]) ).
thf(zip_derived_cl736_4747,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26941,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n10 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26940,zip_derived_cl736]) ).
thf('516',plain,
( ( sk__1 != n10 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26941]) ).
thf(zip_derived_cl738_4748,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_4749,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4750,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23633,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_cl1544,zip_derived_cl23610]) ).
thf(zip_derived_cl55_4751,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_4752,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4753,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_4754,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23696,plain,
( ( ( sum @ ( sum @ n21 @ n11 ) @ ( sum @ n9 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23633,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl726_4755,plain,
( ( sum @ n21 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_4756,plain,
( ( sum @ n9 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_4757,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26643,plain,
( ( n2
!= ( sum @ ( sum @ n21 @ n23 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23696,zip_derived_cl726,zip_derived_cl366,zip_derived_cl96]) ).
thf(zip_derived_cl26703,plain,
( ( n2
!= ( sum @ n13 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl26643]) ).
thf(zip_derived_cl487,plain,
( ( sum @ n13 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26716,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n10 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26703,zip_derived_cl487]) ).
thf('517',plain,
( ( sk__1 != n10 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26716]) ).
thf(zip_derived_cl1543_4758,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4759,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23632,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_cl1543,zip_derived_cl23610]) ).
thf(zip_derived_cl54_4760,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4761,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4762,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_4763,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23695,plain,
( ( ( sum @ ( sum @ n20 @ n11 ) @ ( sum @ n9 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23632,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl695_4764,plain,
( ( sum @ n20 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_4765,plain,
( ( sum @ n9 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4766,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_4767,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_4768,plain,
( ( sum @ n11 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26641,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n10 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23695,zip_derived_cl695,zip_derived_cl365,zip_derived_cl64,zip_derived_cl706,zip_derived_cl425]) ).
thf('518',plain,
( ( sk__1 != n10 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26641]) ).
thf(zip_derived_cl672_4769,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_4770,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4771,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23620,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_cl1531,zip_derived_cl23610]) ).
thf(zip_derived_cl42_4772,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_4773,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_4774,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_4775,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_4776,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_4777,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_4778,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23682,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n18 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23620,zip_derived_cl42,zip_derived_cl323,zip_derived_cl11,zip_derived_cl353,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl26129,plain,
( ( n7
!= ( sum @ n18 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl23682]) ).
thf(zip_derived_cl642_4779,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26141,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n10 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26129,zip_derived_cl642]) ).
thf('519',plain,
( ( sk__1 != n10 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26141]) ).
thf(zip_derived_cl640_4780,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_4781,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4782,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23619,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_cl1530,zip_derived_cl23610]) ).
thf(zip_derived_cl41_4783,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_4784,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4785,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_4786,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_4787,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_4788,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_4789,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23681,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n16 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23619,zip_derived_cl41,zip_derived_cl292,zip_derived_cl10,zip_derived_cl352,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290]) ).
thf(zip_derived_cl25868,plain,
( ( n5
!= ( sum @ n16 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl23681]) ).
thf(zip_derived_cl580,plain,
( ( sum @ n16 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25878,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n10 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25868,zip_derived_cl580]) ).
thf('520',plain,
( ( sk__1 != n10 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25878]) ).
thf(zip_derived_cl544_4790,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_4791,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4792,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23616,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_cl1527,zip_derived_cl23610]) ).
thf(zip_derived_cl38_4793,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_4794,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_4795,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349_4796,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_4797,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_4798,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_4799,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23678,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ n10 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23616,zip_derived_cl38,zip_derived_cl199,zip_derived_cl7,zip_derived_cl349,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194]) ).
thf(zip_derived_cl394,plain,
( ( sum @ n10 @ n20 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25119,plain,
( ( ( sum @ n15 @ n15 )
!= n30 )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23678,zip_derived_cl394]) ).
thf(zip_derived_cl25149,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n10 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl25119]) ).
thf('521',plain,
( ( sk__1 != n10 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25149]) ).
thf(zip_derived_cl992_4800,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_4801,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4802,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23630,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_cl1541,zip_derived_cl23610]) ).
thf(zip_derived_cl52_4803,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4804,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_4805,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_4806,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23693,plain,
( ( ( sum @ ( sum @ n18 @ n11 ) @ ( sum @ n9 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23630,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl633,plain,
( ( sum @ n18 @ n11 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363,plain,
( ( sum @ n9 @ n20 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_4807,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301,plain,
( ( sum @ n7 @ n20 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26639,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23693,zip_derived_cl633,zip_derived_cl363,zip_derived_cl642,zip_derived_cl301]) ).
thf(zip_derived_cl29540,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n10 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26639]) ).
thf('522',plain,
( ( sk__1 != n10 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29540]) ).
thf(zip_derived_cl1005,plain,
( ( sum @ n30 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_4808,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4809,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23611,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_cl1522,zip_derived_cl23610]) ).
thf(zip_derived_cl33_4810,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4811,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_4812,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_4813,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_4814,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23673,plain,
( ( ( sum @ ( sum @ n30 @ n11 ) @ n10 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23611,zip_derived_cl33,zip_derived_cl2,zip_derived_cl344,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29784,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1005,zip_derived_cl23673]) ).
thf(zip_derived_cl384_4815,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_4816,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4817,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29786,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n10 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29784,zip_derived_cl384,zip_derived_cl995,zip_derived_cl84]) ).
thf('523',plain,
( ( sk_ != n0 )
| ( sk__1 != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29786]) ).
thf(zip_derived_cl1014,plain,
( ( sum @ n30 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_4818,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4819,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23626,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_cl1537,zip_derived_cl23610]) ).
thf(zip_derived_cl48_4820,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4821,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_4822,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_4823,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23689,plain,
( ( ( sum @ ( sum @ n14 @ n11 ) @ ( sum @ n9 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23626,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl509_4824,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_4825,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_4826,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26635,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n30 @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23689,zip_derived_cl509,zip_derived_cl359,zip_derived_cl514]) ).
thf(zip_derived_cl29878,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1014,zip_derived_cl26635]) ).
thf(zip_derived_cl864_4827,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29881,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n10 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29878,zip_derived_cl864]) ).
thf('524',plain,
( ( sk__1 != n10 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29881]) ).
thf(zip_derived_cl1024_4828,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_4829,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23610_4830,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_cl354,zip_derived_cl10745]) ).
thf(zip_derived_cl23631,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_cl1542,zip_derived_cl23610]) ).
thf(zip_derived_cl53_4831,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4832,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4833,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_4834,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23694,plain,
( ( ( sum @ ( sum @ n19 @ n11 ) @ ( sum @ n9 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n20 ) )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23631,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl664_4835,plain,
( ( sum @ n19 @ n11 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_4836,plain,
( ( sum @ n9 @ n21 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_4837,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_4838,plain,
( ( sum @ n9 @ n20 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26640,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23694,zip_derived_cl664,zip_derived_cl364,zip_derived_cl674,zip_derived_cl363]) ).
thf(zip_derived_cl29989,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n10 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl26640]) ).
thf('525',plain,
( ( sk__1 != n10 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29989]) ).
thf(zip_derived_cl1532_4839,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl4763_4840,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_cl1622,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl4774,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_cl1532,zip_derived_cl4763]) ).
thf(zip_derived_cl12_4841,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_4842,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4836,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_cl4774,zip_derived_cl12,zip_derived_cl12]) ).
thf('526',plain,
( ( sk__1 != n10 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4836]) ).
thf(zip_derived_cl1552_4843,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_4844,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29149,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl29056]) ).
thf(zip_derived_cl63_4845,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4846,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl932_4847,plain,
( ( sum @ n28 @ n0 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4848,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4849,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29238,plain,
( ( ( sum @ ( sum @ n29 @ n30 ) @ n28 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29149,zip_derived_cl63,zip_derived_cl32,zip_derived_cl932,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl993_4850,plain,
( ( sum @ n29 @ n30 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl960_4851,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4852,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl990_4853,plain,
( ( sum @ n29 @ n27 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30175,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n29 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29238,zip_derived_cl993,zip_derived_cl960,zip_derived_cl963,zip_derived_cl990]) ).
thf('527',plain,
( ( sk_ != n30 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30175]) ).
thf(zip_derived_cl1024_4854,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4855,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_4856,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29636,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl29595]) ).
thf(zip_derived_cl63_4857,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl964_4858,plain,
( ( sum @ n29 @ n1 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4859,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl994_4860,plain,
( ( sum @ n30 @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4861,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4862,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4863,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4864,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29700,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n0 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29636,zip_derived_cl63,zip_derived_cl964,zip_derived_cl32,zip_derived_cl994,zip_derived_cl63,zip_derived_cl32,zip_derived_cl963,zip_derived_cl963]) ).
thf(zip_derived_cl30010,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n0 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl29700]) ).
thf('528',plain,
( ( sk_ != n30 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30010]) ).
thf(zip_derived_cl993_4865,plain,
( ( sum @ n29 @ n30 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl979_4866,plain,
( ( sum @ n29 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4867,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_4868,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24969,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl24936]) ).
thf(zip_derived_cl63_4869,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4870,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_4871,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4872,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4873,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25032,plain,
( ( ( sum @ ( sum @ n29 @ n16 ) @ n14 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24969,zip_derived_cl63,zip_derived_cl32,zip_derived_cl498,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29453,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl979,zip_derived_cl25032]) ).
thf(zip_derived_cl512_4874,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4875,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29454,plain,
( ( n28
!= ( sum @ n29 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29453,zip_derived_cl512,zip_derived_cl963]) ).
thf(zip_derived_cl29593,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n15 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl993,zip_derived_cl29454]) ).
thf('529',plain,
( ( sk_ != n30 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29593]) ).
thf(zip_derived_cl992_4876,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4877,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_4878,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28777,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl28682]) ).
thf(zip_derived_cl63_4879,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4880,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl901_4881,plain,
( ( sum @ n27 @ n0 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4882,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4883,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28863,plain,
( ( ( sum @ ( sum @ n29 @ n29 ) @ n27 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28777,zip_derived_cl63,zip_derived_cl32,zip_derived_cl901,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29558,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl28863]) ).
thf(zip_derived_cl928_4884,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4885,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl988_4886,plain,
( ( sum @ n29 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29591,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n28 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29558,zip_derived_cl928,zip_derived_cl963,zip_derived_cl988]) ).
thf('530',plain,
( ( sk_ != n30 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29591]) ).
thf(zip_derived_cl991_4887,plain,
( ( sum @ n29 @ n28 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl978_4888,plain,
( ( sum @ n29 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4889,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_4890,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24706,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl24673]) ).
thf(zip_derived_cl63_4891,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4892,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_4893,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4894,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4895,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24769,plain,
( ( ( sum @ ( sum @ n29 @ n15 ) @ n13 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24706,zip_derived_cl63,zip_derived_cl32,zip_derived_cl467,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29451,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl978,zip_derived_cl24769]) ).
thf(zip_derived_cl480_4896,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4897,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29452,plain,
( ( n26
!= ( sum @ n29 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29451,zip_derived_cl480,zip_derived_cl963]) ).
thf(zip_derived_cl29523,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n14 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl991,zip_derived_cl29452]) ).
thf('531',plain,
( ( sk_ != n30 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29523]) ).
thf(zip_derived_cl989_4898,plain,
( ( sum @ n29 @ n26 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl977_4899,plain,
( ( sum @ n29 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4900,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_4901,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24440,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl24407]) ).
thf(zip_derived_cl63_4902,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4903,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_4904,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4905,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4906,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24503,plain,
( ( ( sum @ ( sum @ n29 @ n14 ) @ n12 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24440,zip_derived_cl63,zip_derived_cl32,zip_derived_cl436,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29449,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl977,zip_derived_cl24503]) ).
thf(zip_derived_cl448_4907,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4908,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29450,plain,
( ( n24
!= ( sum @ n29 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29449,zip_derived_cl448,zip_derived_cl963]) ).
thf(zip_derived_cl29505,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n13 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl989,zip_derived_cl29450]) ).
thf('532',plain,
( ( sk_ != n30 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29505]) ).
thf(zip_derived_cl989_4909,plain,
( ( sum @ n29 @ n26 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4910,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_4911,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27706,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl27632]) ).
thf(zip_derived_cl63_4912,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4913,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl808_4914,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4915,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4916,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27785,plain,
( ( ( sum @ ( sum @ n29 @ n26 ) @ n24 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27706,zip_derived_cl63,zip_derived_cl32,zip_derived_cl808,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29504,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl989,zip_derived_cl27785]) ).
thf(zip_derived_cl832_4917,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4918,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl982_4919,plain,
( ( sum @ n29 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29506,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n25 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29504,zip_derived_cl832,zip_derived_cl963,zip_derived_cl982]) ).
thf('533',plain,
( ( sk_ != n30 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29506]) ).
thf(zip_derived_cl975_4920,plain,
( ( sum @ n29 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4921,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_4922,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23904,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl23871]) ).
thf(zip_derived_cl63_4923,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4924,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_4925,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4926,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4927,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23967,plain,
( ( ( sum @ ( sum @ n29 @ n12 ) @ n10 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23904,zip_derived_cl63,zip_derived_cl32,zip_derived_cl374,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29445,plain,
( ( ( sum @ n10 @ n10 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl975,zip_derived_cl23967]) ).
thf(zip_derived_cl384_4928,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4929,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29446,plain,
( ( n20
!= ( sum @ n29 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29445,zip_derived_cl384,zip_derived_cl963]) ).
thf(zip_derived_cl985_4930,plain,
( ( sum @ n29 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29500,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n11 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29446,zip_derived_cl985]) ).
thf('534',plain,
( ( sk_ != n30 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29500]) ).
thf(zip_derived_cl988_4931,plain,
( ( sum @ n29 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4932,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_4933,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27360,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl27296]) ).
thf(zip_derived_cl63_4934,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4935,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl777_4936,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4937,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4938,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27436,plain,
( ( ( sum @ ( sum @ n29 @ n25 ) @ n23 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27360,zip_derived_cl63,zip_derived_cl32,zip_derived_cl777,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29497,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl988,zip_derived_cl27436]) ).
thf(zip_derived_cl800_4939,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4940,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl980_4941,plain,
( ( sum @ n29 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29498,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n24 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29497,zip_derived_cl800,zip_derived_cl963,zip_derived_cl980]) ).
thf('535',plain,
( ( sk_ != n30 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29498]) ).
thf(zip_derived_cl972_4942,plain,
( ( sum @ n29 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4943,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_4944,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22893,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl22862]) ).
thf(zip_derived_cl63_4945,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4946,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_4947,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4948,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4949,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22956,plain,
( ( ( sum @ ( sum @ n29 @ n9 ) @ n7 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22893,zip_derived_cl63,zip_derived_cl32,zip_derived_cl281,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29439,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl972,zip_derived_cl22956]) ).
thf(zip_derived_cl288_4950,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4951,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29440,plain,
( ( n14
!= ( sum @ n29 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29439,zip_derived_cl288,zip_derived_cl963]) ).
thf(zip_derived_cl979_4952,plain,
( ( sum @ n29 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29491,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n8 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29440,zip_derived_cl979]) ).
thf('536',plain,
( ( sk_ != n30 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29491]) ).
thf(zip_derived_cl987_4953,plain,
( ( sum @ n29 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4954,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_4955,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27046,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl26989]) ).
thf(zip_derived_cl63_4956,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4957,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746_4958,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4959,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4960,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27120,plain,
( ( ( sum @ ( sum @ n29 @ n24 ) @ n22 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27046,zip_derived_cl63,zip_derived_cl32,zip_derived_cl746,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29488,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl987,zip_derived_cl27120]) ).
thf(zip_derived_cl768_4961,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4962,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl978_4963,plain,
( ( sum @ n29 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29489,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n23 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29488,zip_derived_cl768,zip_derived_cl963,zip_derived_cl978]) ).
thf('537',plain,
( ( sk_ != n30 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29489]) ).
thf(zip_derived_cl971_4964,plain,
( ( sum @ n29 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4965,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_4966,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22264,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl22233]) ).
thf(zip_derived_cl63_4967,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4968,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_4969,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4970,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4971,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22327,plain,
( ( ( sum @ ( sum @ n29 @ n8 ) @ n6 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22264,zip_derived_cl63,zip_derived_cl32,zip_derived_cl250,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29437,plain,
( ( ( sum @ n6 @ n6 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl971,zip_derived_cl22327]) ).
thf(zip_derived_cl256_4972,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4973,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29438,plain,
( ( n12
!= ( sum @ n29 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29437,zip_derived_cl256,zip_derived_cl963]) ).
thf(zip_derived_cl977_4974,plain,
( ( sum @ n29 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29486,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n7 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29438,zip_derived_cl977]) ).
thf('538',plain,
( ( sk_ != n30 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29486]) ).
thf(zip_derived_cl968_4975,plain,
( ( sum @ n29 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4976,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_4977,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20209,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl20178]) ).
thf(zip_derived_cl63_4978,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4979,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_4980,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4981,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4982,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20272,plain,
( ( ( sum @ ( sum @ n29 @ n5 ) @ n3 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20209,zip_derived_cl63,zip_derived_cl32,zip_derived_cl157,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29431,plain,
( ( ( sum @ n3 @ n3 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl968,zip_derived_cl20272]) ).
thf(zip_derived_cl160_4983,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4984,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29432,plain,
( ( n6
!= ( sum @ n29 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29431,zip_derived_cl160,zip_derived_cl963]) ).
thf(zip_derived_cl971_4985,plain,
( ( sum @ n29 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29480,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n4 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29432,zip_derived_cl971]) ).
thf('539',plain,
( ( sk_ != n30 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29480]) ).
thf(zip_derived_cl986_4986,plain,
( ( sum @ n29 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4987,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_4988,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26748,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl26692]) ).
thf(zip_derived_cl63_4989,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4990,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715_4991,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4992,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_4993,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26819,plain,
( ( ( sum @ ( sum @ n29 @ n23 ) @ n21 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26748,zip_derived_cl63,zip_derived_cl32,zip_derived_cl715,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29477,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl986,zip_derived_cl26819]) ).
thf(zip_derived_cl736_4994,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_4995,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl976_4996,plain,
( ( sum @ n29 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29478,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n22 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29477,zip_derived_cl736,zip_derived_cl963,zip_derived_cl976]) ).
thf('540',plain,
( ( sk_ != n30 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29478]) ).
thf(zip_derived_cl966_4997,plain,
( ( sum @ n29 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_4998,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18802,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl18771]) ).
thf(zip_derived_cl63_5000,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5001,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_5002,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5003,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5004,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18865,plain,
( ( ( sum @ ( sum @ n29 @ n3 ) @ n1 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18802,zip_derived_cl63,zip_derived_cl32,zip_derived_cl95,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29427,plain,
( ( ( sum @ n1 @ n1 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl966,zip_derived_cl18865]) ).
thf(zip_derived_cl96_5005,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_5006,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29428,plain,
( ( n2
!= ( sum @ n29 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29427,zip_derived_cl96,zip_derived_cl963]) ).
thf(zip_derived_cl967_5007,plain,
( ( sum @ n29 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29473,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n2 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29428,zip_derived_cl967]) ).
thf('541',plain,
( ( sk_ != n30 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29473]) ).
thf(zip_derived_cl985_5008,plain,
( ( sum @ n29 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_5009,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_5010,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26473,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl26424]) ).
thf(zip_derived_cl63_5011,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5012,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684_5013,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5014,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5015,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26542,plain,
( ( ( sum @ ( sum @ n29 @ n22 ) @ n20 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26473,zip_derived_cl63,zip_derived_cl32,zip_derived_cl684,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29470,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl985,zip_derived_cl26542]) ).
thf(zip_derived_cl704_5016,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_5017,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl974_5018,plain,
( ( sum @ n29 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29471,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n21 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29470,zip_derived_cl704,zip_derived_cl963,zip_derived_cl974]) ).
thf('542',plain,
( ( sk_ != n30 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29471]) ).
thf(zip_derived_cl984_5019,plain,
( ( sum @ n29 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_5020,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_5021,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26198,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl26155]) ).
thf(zip_derived_cl63_5022,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5023,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653_5024,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5025,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5026,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26265,plain,
( ( ( sum @ ( sum @ n29 @ n21 ) @ n19 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26198,zip_derived_cl63,zip_derived_cl32,zip_derived_cl653,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29467,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl984,zip_derived_cl26265]) ).
thf(zip_derived_cl672_5027,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_5028,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl972_5029,plain,
( ( sum @ n29 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29468,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n20 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29467,zip_derived_cl672,zip_derived_cl963,zip_derived_cl972]) ).
thf('543',plain,
( ( sk_ != n30 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29468]) ).
thf(zip_derived_cl983_5030,plain,
( ( sum @ n29 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_5031,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5032,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25928,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl25889]) ).
thf(zip_derived_cl63_5033,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5034,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622_5035,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5036,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5037,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25994,plain,
( ( ( sum @ ( sum @ n29 @ n20 ) @ n18 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25928,zip_derived_cl63,zip_derived_cl32,zip_derived_cl622,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29464,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl983,zip_derived_cl25994]) ).
thf(zip_derived_cl640_5038,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_5039,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl970_5040,plain,
( ( sum @ n29 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29465,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n19 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29464,zip_derived_cl640,zip_derived_cl963,zip_derived_cl970]) ).
thf('544',plain,
( ( sk_ != n30 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29465]) ).
thf(zip_derived_cl981_5041,plain,
( ( sum @ n29 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_5042,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_5043,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25388,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl25355]) ).
thf(zip_derived_cl63_5044,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5045,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560_5046,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5047,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5048,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25452,plain,
( ( ( sum @ ( sum @ n29 @ n18 ) @ n16 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25388,zip_derived_cl63,zip_derived_cl32,zip_derived_cl560,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29458,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl981,zip_derived_cl25452]) ).
thf(zip_derived_cl576_5049,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_5050,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl966_5051,plain,
( ( sum @ n29 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29459,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n17 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29458,zip_derived_cl576,zip_derived_cl963,zip_derived_cl966]) ).
thf('545',plain,
( ( sk_ != n30 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29459]) ).
thf(zip_derived_cl980_5052,plain,
( ( sum @ n29 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_5053,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_5054,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25188,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl25157]) ).
thf(zip_derived_cl63_5055,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5056,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529_5057,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5058,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5059,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25251,plain,
( ( ( sum @ ( sum @ n29 @ n17 ) @ n15 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25188,zip_derived_cl63,zip_derived_cl32,zip_derived_cl529,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29455,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl980,zip_derived_cl25251]) ).
thf(zip_derived_cl544_5060,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_5061,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl964_5062,plain,
( ( sum @ n29 @ n1 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29456,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n16 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29455,zip_derived_cl544,zip_derived_cl963,zip_derived_cl964]) ).
thf('546',plain,
( ( sk_ != n30 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29456]) ).
thf(zip_derived_cl965_5063,plain,
( ( sum @ n29 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_5064,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_5065,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18393,plain,
( ( ( sum @ ( sum @ ( pred @ n30 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n30 ) ) )
!= ( sum @ ( sum @ ( pred @ n30 ) @ ( succ @ n30 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl18362]) ).
thf(zip_derived_cl63_5066,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5067,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5068,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5069,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl32_5070,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18456,plain,
( ( ( sum @ ( sum @ n29 @ n2 ) @ n0 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18393,zip_derived_cl63,zip_derived_cl32,zip_derived_cl64,zip_derived_cl63,zip_derived_cl32]) ).
thf(zip_derived_cl29424,plain,
( ( ( sum @ n0 @ n0 )
!= ( sum @ ( sum @ n29 @ n0 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n30 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl965,zip_derived_cl18456]) ).
thf(zip_derived_cl64_5071,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_5072,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl965_5073,plain,
( ( sum @ n29 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29425,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n1 )
& ( sk_ = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29424,zip_derived_cl64,zip_derived_cl963,zip_derived_cl965]) ).
thf('547',plain,
( ( sk_ != n30 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29425]) ).
thf(zip_derived_cl1024_5074,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_5075,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5076,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25909,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl25889]) ).
thf(zip_derived_cl44_5077,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_5078,plain,
( ( sum @ n10 @ n20 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5079,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634_5080,plain,
( ( sum @ n18 @ n12 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_5081,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5082,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_5083,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25971,plain,
( ( ( sum @ n30 @ n30 )
!= ( sum @ n22 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25909,zip_derived_cl44,zip_derived_cl394,zip_derived_cl13,zip_derived_cl634,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl29985,plain,
( ( n29
!= ( sum @ n22 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl25971]) ).
thf(zip_derived_cl753_5084,plain,
( ( sum @ n22 @ n7 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30017,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n19 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29985,zip_derived_cl753]) ).
thf('548',plain,
( ( sk__1 != n19 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30017]) ).
thf(zip_derived_cl1014_5085,plain,
( ( sum @ n30 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_5086,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5087,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25898,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl25889]) ).
thf(zip_derived_cl33_5088,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_5089,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_5090,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_5091,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25960,plain,
( ( ( sum @ ( sum @ n30 @ n20 ) @ n19 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25898,zip_derived_cl33,zip_derived_cl2,zip_derived_cl623,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29877,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1014,zip_derived_cl25960]) ).
thf(zip_derived_cl672_5092,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_5093,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5094,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29879,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n19 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29877,zip_derived_cl672,zip_derived_cl995,zip_derived_cl71]) ).
thf('549',plain,
( ( sk_ != n0 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29879]) ).
thf(zip_derived_cl1001_5095,plain,
( ( sum @ n30 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_5096,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5097,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25913,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl25889]) ).
thf(zip_derived_cl48_5098,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518_5099,plain,
( ( sum @ n14 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_5100,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638,plain,
( ( sum @ n18 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_5101,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5102,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_5103,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_5104,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25975,plain,
( ( n6
!= ( sum @ n30 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25913,zip_derived_cl48,zip_derived_cl518,zip_derived_cl17,zip_derived_cl638,zip_derived_cl160,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29757,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n19 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1001,zip_derived_cl25975]) ).
thf('550',plain,
( ( sk__1 != n19 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29757]) ).
thf(zip_derived_cl992_5105,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_5106,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5107,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25908,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl25889]) ).
thf(zip_derived_cl43_5108,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_5109,plain,
( ( sum @ n9 @ n20 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_5110,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633_5111,plain,
( ( sum @ n18 @ n11 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_5112,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_5113,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_5114,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25970,plain,
( ( ( sum @ n29 @ n29 )
!= ( sum @ n20 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25908,zip_derived_cl43,zip_derived_cl363,zip_derived_cl12,zip_derived_cl633,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl29535,plain,
( ( n27
!= ( sum @ n20 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl25970]) ).
thf(zip_derived_cl691_5115,plain,
( ( sum @ n20 @ n7 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29567,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n19 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29535,zip_derived_cl691]) ).
thf('551',plain,
( ( sk__1 != n19 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29567]) ).
thf(zip_derived_cl960_5116,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5117,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5118,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25907,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl25889]) ).
thf(zip_derived_cl42_5119,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_5120,plain,
( ( sum @ n8 @ n20 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5121,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_5122,plain,
( ( sum @ n18 @ n10 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5123,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5124,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5125,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629_5126,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25969,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n19 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25907,zip_derived_cl42,zip_derived_cl332,zip_derived_cl11,zip_derived_cl632,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl629]) ).
thf(zip_derived_cl29006,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n19 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl25969]) ).
thf('552',plain,
( ( sk__1 != n19 )
| ( sk_ != n9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29006]) ).
thf(zip_derived_cl939_5127,plain,
( ( sum @ n28 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_5128,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5129,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25912,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl25889]) ).
thf(zip_derived_cl47_5130,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487_5131,plain,
( ( sum @ n13 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_5132,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl637,plain,
( ( sum @ n18 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_5133,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_5134,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_5135,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_5136,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25974,plain,
( ( n4
!= ( sum @ n28 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25912,zip_derived_cl47,zip_derived_cl487,zip_derived_cl16,zip_derived_cl637,zip_derived_cl128,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28932,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n19 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl939,zip_derived_cl25974]) ).
thf('553',plain,
( ( sk__1 != n19 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28932]) ).
thf(zip_derived_cl928_5137,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_5138,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5139,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25906,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl25889]) ).
thf(zip_derived_cl41_5140,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_5141,plain,
( ( sum @ n7 @ n20 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_5142,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631,plain,
( ( sum @ n18 @ n9 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_5143,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_5144,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_5145,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_5146,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25968,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n19 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25906,zip_derived_cl41,zip_derived_cl301,zip_derived_cl10,zip_derived_cl631,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl567]) ).
thf(zip_derived_cl28634,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n19 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl25968]) ).
thf('554',plain,
( ( sk__1 != n19 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28634]) ).
thf(zip_derived_cl1548_5147,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5148,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25924,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl25889]) ).
thf(zip_derived_cl59_5149,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_5150,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_5151,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_5152,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25990,plain,
( ( ( sum @ ( sum @ n25 @ n20 ) @ ( sum @ n18 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25924,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl859_5153,plain,
( ( sum @ n25 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649_5154,plain,
( ( sum @ n18 @ n27 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_5155,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_5156,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_5157,plain,
( ( sum @ n21 @ n7 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28560,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n19 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25990,zip_derived_cl859,zip_derived_cl649,zip_derived_cl512,zip_derived_cl866,zip_derived_cl722]) ).
thf('555',plain,
( ( sk__1 != n19 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28560]) ).
thf(zip_derived_cl1547_5158,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5159,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25923,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl25889]) ).
thf(zip_derived_cl58_5160,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_5161,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_5162,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_5163,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25989,plain,
( ( ( sum @ ( sum @ n24 @ n20 ) @ ( sum @ n18 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25923,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl828_5164,plain,
( ( sum @ n24 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648,plain,
( ( sum @ n18 @ n26 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_5165,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_5166,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660_5167,plain,
( ( sum @ n19 @ n7 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28558,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n19 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25989,zip_derived_cl828,zip_derived_cl648,zip_derived_cl480,zip_derived_cl834,zip_derived_cl660]) ).
thf('556',plain,
( ( sk__1 != n19 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28558]) ).
thf(zip_derived_cl1546_5168,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5169,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25922,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl25889]) ).
thf(zip_derived_cl57_5170,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_5171,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_5172,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_5173,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25988,plain,
( ( ( sum @ ( sum @ n23 @ n20 ) @ ( sum @ n18 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25922,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl797_5174,plain,
( ( sum @ n23 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647,plain,
( ( sum @ n18 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_5175,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_5176,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_5177,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28556,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n19 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25988,zip_derived_cl797,zip_derived_cl647,zip_derived_cl448,zip_derived_cl802,zip_derived_cl598]) ).
thf('557',plain,
( ( sk_ != n24 )
| ( sk__1 != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28556]) ).
thf(zip_derived_cl1545_5178,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5179,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25921,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl25889]) ).
thf(zip_derived_cl56_5180,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_5181,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_5182,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_5183,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25987,plain,
( ( ( sum @ ( sum @ n22 @ n20 ) @ ( sum @ n18 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25921,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl766_5184,plain,
( ( sum @ n22 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_5185,plain,
( ( sum @ n18 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_5186,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_5187,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_5188,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28554,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n19 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25987,zip_derived_cl766,zip_derived_cl646,zip_derived_cl416,zip_derived_cl770,zip_derived_cl536]) ).
thf('558',plain,
( ( sk__1 != n19 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28554]) ).
thf(zip_derived_cl1544_5189,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5190,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25920,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl25889]) ).
thf(zip_derived_cl55_5191,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_5192,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_5193,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_5194,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25986,plain,
( ( ( sum @ ( sum @ n21 @ n20 ) @ ( sum @ n18 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25920,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl735_5195,plain,
( ( sum @ n21 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645_5196,plain,
( ( sum @ n18 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_5197,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_5198,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_5199,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28552,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n19 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25986,zip_derived_cl735,zip_derived_cl645,zip_derived_cl384,zip_derived_cl738,zip_derived_cl474]) ).
thf('559',plain,
( ( sk__1 != n19 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28552]) ).
thf(zip_derived_cl1543_5200,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5201,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25919,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl25889]) ).
thf(zip_derived_cl54_5202,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5203,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_5204,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5205,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25985,plain,
( ( ( sum @ ( sum @ n20 @ n20 ) @ ( sum @ n18 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25919,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl704_5206,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644,plain,
( ( sum @ n18 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_5207,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_5208,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_5209,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28550,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n19 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25985,zip_derived_cl704,zip_derived_cl644,zip_derived_cl352,zip_derived_cl706,zip_derived_cl412]) ).
thf('560',plain,
( ( sk__1 != n19 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28550]) ).
thf(zip_derived_cl1542_5210,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5211,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25918,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl25889]) ).
thf(zip_derived_cl53_5212,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5213,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_5214,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5215,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25984,plain,
( ( ( sum @ ( sum @ n19 @ n20 ) @ ( sum @ n18 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25918,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl673_5216,plain,
( ( sum @ n19 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643_5217,plain,
( ( sum @ n18 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_5218,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_5219,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350_5220,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28277,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n19 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25984,zip_derived_cl673,zip_derived_cl643,zip_derived_cl320,zip_derived_cl674,zip_derived_cl350]) ).
thf('561',plain,
( ( sk__1 != n19 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28277]) ).
thf(zip_derived_cl877_5221,plain,
( ( sum @ n26 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_5222,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5223,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25911,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl25889]) ).
thf(zip_derived_cl46_5224,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456_5225,plain,
( ( sum @ n12 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_5226,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636,plain,
( ( sum @ n18 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_5227,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5228,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_5229,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_5230,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25973,plain,
( ( n2
!= ( sum @ n26 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25911,zip_derived_cl46,zip_derived_cl456,zip_derived_cl15,zip_derived_cl636,zip_derived_cl96,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28192,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n19 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl877,zip_derived_cl25973]) ).
thf('562',plain,
( ( sk__1 != n19 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28192]) ).
thf(zip_derived_cl832_5231,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5232,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5233,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25903,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl25889]) ).
thf(zip_derived_cl38_5234,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_5235,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5236,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_5237,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5238,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5239,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5240,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_5241,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25965,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n19 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25903,zip_derived_cl38,zip_derived_cl208,zip_derived_cl7,zip_derived_cl628,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl381]) ).
thf(zip_derived_cl27596,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n19 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl25965]) ).
thf('563',plain,
( ( sk__1 != n19 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27596]) ).
thf(zip_derived_cl815_5242,plain,
( ( sum @ n24 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_5243,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5244,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25910,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl25889]) ).
thf(zip_derived_cl45_5245,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_5246,plain,
( ( sum @ n11 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_5247,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635_5248,plain,
( ( sum @ n18 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5249,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5250,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_5251,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_5252,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25972,plain,
( ( n0
!= ( sum @ n24 @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25910,zip_derived_cl45,zip_derived_cl425,zip_derived_cl14,zip_derived_cl635,zip_derived_cl64,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl27488,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n19 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl815,zip_derived_cl25972]) ).
thf('564',plain,
( ( sk__1 != n19 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27488]) ).
thf(zip_derived_cl1540_5253,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5254,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25916,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl25889]) ).
thf(zip_derived_cl51_5255,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611_5256,plain,
( ( sum @ n17 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5257,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl641_5258,plain,
( ( sum @ n18 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_5259,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_5260,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5261,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_5262,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_5263,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25980,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n19 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25916,zip_derived_cl51,zip_derived_cl611,zip_derived_cl20,zip_derived_cl641,zip_derived_cl256,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl226]) ).
thf('565',plain,
( ( sk__1 != n19 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25980]) ).
thf(zip_derived_cl1539_5264,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5265,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25915,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl25889]) ).
thf(zip_derived_cl50_5266,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580_5267,plain,
( ( sum @ n16 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5268,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_5269,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_5270,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_5271,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5272,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_5273,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_5274,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25978,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n19 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25915,zip_derived_cl50,zip_derived_cl580,zip_derived_cl19,zip_derived_cl640,zip_derived_cl224,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl164]) ).
thf('566',plain,
( ( sk__1 != n19 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25978]) ).
thf(zip_derived_cl1538_5275,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25889_5276,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n20 ) @ ( sum @ n18 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n7 ) )
<= ( sk__1 = n19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl14234]) ).
thf(zip_derived_cl25914,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n20 ) @ ( sum @ n18 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n7 ) )
<= ( ( sk__1 = n19 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl25889]) ).
thf(zip_derived_cl49_5277,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549_5278,plain,
( ( sum @ n15 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5279,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl639_5280,plain,
( ( sum @ n18 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_5281,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_5282,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5283,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_5284,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_5285,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25976,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n19 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25914,zip_derived_cl49,zip_derived_cl549,zip_derived_cl18,zip_derived_cl639,zip_derived_cl192,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl102]) ).
thf('567',plain,
( ( sk__1 != n19 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25976]) ).
thf(zip_derived_cl1541_5286,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl5946_5287,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_cl1782,zip_derived_cl21,zip_derived_cl21]) ).
thf(zip_derived_cl5966,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_cl1541,zip_derived_cl5946]) ).
thf(zip_derived_cl21_5288,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_5289,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6028,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_cl5966,zip_derived_cl21,zip_derived_cl21]) ).
thf('568',plain,
( ( sk__1 != n19 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6028]) ).
thf(zip_derived_cl1531_5290,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_5291,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29615,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl29595]) ).
thf(zip_derived_cl42_5292,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_5293,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5294,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5295,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5296,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5297,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622_5298,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29679,plain,
( ( ( sum @ n9 @ ( sum @ n30 @ n10 ) )
!= n18 )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29615,zip_derived_cl42,zip_derived_cl313,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl622]) ).
thf(zip_derived_cl1004_5299,plain,
( ( sum @ n30 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_5300,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30061,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n0 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29679,zip_derived_cl1004,zip_derived_cl352]) ).
thf('569',plain,
( ( sk_ != n9 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30061]) ).
thf(zip_derived_cl1024_5301,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5302,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_5303,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26452,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl26424]) ).
thf(zip_derived_cl42_5304,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_5305,plain,
( ( sum @ n8 @ n22 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5306,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl694_5307,plain,
( ( sum @ n20 @ n10 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5308,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5309,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5310,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633_5311,plain,
( ( sum @ n18 @ n11 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26514,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n21 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26452,zip_derived_cl42,zip_derived_cl334,zip_derived_cl11,zip_derived_cl694,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl633]) ).
thf(zip_derived_cl29987,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n21 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl26514]) ).
thf('570',plain,
( ( sk_ != n9 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29987]) ).
thf(zip_derived_cl992_5312,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5313,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_5314,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26177,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl26155]) ).
thf(zip_derived_cl42_5315,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_5316,plain,
( ( sum @ n8 @ n21 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5317,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663_5318,plain,
( ( sum @ n19 @ n10 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5319,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5320,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5321,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631_5322,plain,
( ( sum @ n18 @ n9 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26239,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n20 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26177,zip_derived_cl42,zip_derived_cl333,zip_derived_cl11,zip_derived_cl663,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl631]) ).
thf(zip_derived_cl29536,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n20 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26239]) ).
thf('571',plain,
( ( sk_ != n9 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29536]) ).
thf(zip_derived_cl1531_5323,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_5324,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29128,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl29056]) ).
thf(zip_derived_cl42_5325,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_5326,plain,
( ( sum @ n8 @ n30 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5327,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl942_5328,plain,
( ( sum @ n28 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_5329,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5330,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5331,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5332,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649_5333,plain,
( ( sum @ n18 @ n27 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29197,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n29 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29128,zip_derived_cl42,zip_derived_cl342,zip_derived_cl11,zip_derived_cl942,zip_derived_cl288,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl649]) ).
thf('572',plain,
( ( sk_ != n9 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29197]) ).
thf(zip_derived_cl1531_5334,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_5335,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28756,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl28682]) ).
thf(zip_derived_cl42_5336,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_5337,plain,
( ( sum @ n8 @ n29 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5338,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl911_5339,plain,
( ( sum @ n27 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_5340,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5341,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5342,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5343,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647_5344,plain,
( ( sum @ n18 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28824,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n28 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28756,zip_derived_cl42,zip_derived_cl341,zip_derived_cl11,zip_derived_cl911,zip_derived_cl256,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl647]) ).
thf('573',plain,
( ( sk_ != n9 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28824]) ).
thf(zip_derived_cl896_5345,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5346,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_5347,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25367,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl25355]) ).
thf(zip_derived_cl42_5348,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_5349,plain,
( ( sum @ n8 @ n18 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5350,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570_5351,plain,
( ( sum @ n16 @ n10 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5352,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5353,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5354,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25429,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ n18 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25367,zip_derived_cl42,zip_derived_cl330,zip_derived_cl11,zip_derived_cl570,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl28282,plain,
( ( n21
!= ( sum @ n18 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl25429]) ).
thf(zip_derived_cl625_5355,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28307,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n17 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28282,zip_derived_cl625]) ).
thf('574',plain,
( ( sk_ != n9 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28307]) ).
thf(zip_derived_cl864_5356,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5357,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_5358,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25167,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl25157]) ).
thf(zip_derived_cl42_5359,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_5360,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5361,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl539_5362,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5363,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5364,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5365,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25229,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n18 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25167,zip_derived_cl42,zip_derived_cl329,zip_derived_cl11,zip_derived_cl539,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl27928,plain,
( ( n19
!= ( sum @ n18 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl25229]) ).
thf(zip_derived_cl623_5366,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27952,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n16 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27928,zip_derived_cl623]) ).
thf('575',plain,
( ( sk_ != n9 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27952]) ).
thf(zip_derived_cl1531_5367,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_5368,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27685,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl27632]) ).
thf(zip_derived_cl42_5369,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_5370,plain,
( ( sum @ n8 @ n26 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5371,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl818_5372,plain,
( ( sum @ n24 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_5373,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5374,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5375,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5376,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl641_5377,plain,
( ( sum @ n18 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27750,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n25 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27685,zip_derived_cl42,zip_derived_cl338,zip_derived_cl11,zip_derived_cl818,zip_derived_cl160,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl641]) ).
thf('576',plain,
( ( sk_ != n9 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27750]) ).
thf(zip_derived_cl832_5378,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5379,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_5380,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24948,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl24936]) ).
thf(zip_derived_cl42_5381,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_5382,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5383,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508_5384,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5385,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5386,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5387,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25010,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n18 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24948,zip_derived_cl42,zip_derived_cl328,zip_derived_cl11,zip_derived_cl508,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl27592,plain,
( ( n17
!= ( sum @ n18 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl25010]) ).
thf(zip_derived_cl652_5388,plain,
( ( sum @ n18 @ n30 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27613,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n15 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27592,zip_derived_cl652]) ).
thf('577',plain,
( ( sk_ != n9 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27613]) ).
thf(zip_derived_cl1531_5389,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5390,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27339,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl27296]) ).
thf(zip_derived_cl42_5391,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_5392,plain,
( ( sum @ n8 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5393,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl787_5394,plain,
( ( sum @ n23 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_5395,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5396,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5397,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5398,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl639_5399,plain,
( ( sum @ n18 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27403,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n24 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27339,zip_derived_cl42,zip_derived_cl337,zip_derived_cl11,zip_derived_cl787,zip_derived_cl128,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl639]) ).
thf('578',plain,
( ( sk_ != n9 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27403]) ).
thf(zip_derived_cl800_5400,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5401,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_5402,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24685,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl24673]) ).
thf(zip_derived_cl42_5403,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_5404,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5405,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477_5406,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5407,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5408,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5409,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24747,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n18 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24685,zip_derived_cl42,zip_derived_cl327,zip_derived_cl11,zip_derived_cl477,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl27258,plain,
( ( n15
!= ( sum @ n18 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl24747]) ).
thf(zip_derived_cl650_5410,plain,
( ( sum @ n18 @ n28 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27278,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n14 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27258,zip_derived_cl650]) ).
thf('579',plain,
( ( sk_ != n9 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27278]) ).
thf(zip_derived_cl1531_5411,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_5412,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27025,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl26989]) ).
thf(zip_derived_cl42_5413,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_5414,plain,
( ( sum @ n8 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5415,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl756_5416,plain,
( ( sum @ n22 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_5417,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5418,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5419,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5420,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl637_5421,plain,
( ( sum @ n18 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27088,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n23 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27025,zip_derived_cl42,zip_derived_cl336,zip_derived_cl11,zip_derived_cl756,zip_derived_cl96,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl637]) ).
thf('580',plain,
( ( sk_ != n9 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27088]) ).
thf(zip_derived_cl768_5422,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5423,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_5424,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24419,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl24407]) ).
thf(zip_derived_cl42_5425,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_5426,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5427,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_5428,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5429,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5430,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5431,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24481,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n18 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24419,zip_derived_cl42,zip_derived_cl326,zip_derived_cl11,zip_derived_cl446,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl26955,plain,
( ( n13
!= ( sum @ n18 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl24481]) ).
thf(zip_derived_cl648_5432,plain,
( ( sum @ n18 @ n26 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26972,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n13 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26955,zip_derived_cl648]) ).
thf('581',plain,
( ( sk_ != n9 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26972]) ).
thf(zip_derived_cl1531_5433,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_5434,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26727,plain,
( ( ( sum @ ( sum @ ( pred @ n9 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n9 ) ) )
!= ( sum @ ( sum @ ( pred @ n9 ) @ ( succ @ n9 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1531,zip_derived_cl26692]) ).
thf(zip_derived_cl42_5435,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_5436,plain,
( ( sum @ n8 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5437,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_5438,plain,
( ( sum @ n21 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5439,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5440,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5441,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5442,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635_5443,plain,
( ( sum @ n18 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26789,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n22 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26727,zip_derived_cl42,zip_derived_cl335,zip_derived_cl11,zip_derived_cl725,zip_derived_cl64,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322,zip_derived_cl635]) ).
thf('582',plain,
( ( sk_ != n9 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26789]) ).
thf(zip_derived_cl704_5444,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5445,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5446,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23883,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_cl1531,zip_derived_cl23871]) ).
thf(zip_derived_cl42_5447,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_5448,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5449,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_5450,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5451,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5452,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5453,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23945,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n18 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23883,zip_derived_cl42,zip_derived_cl324,zip_derived_cl11,zip_derived_cl384,zip_derived_cl42,zip_derived_cl11,zip_derived_cl322]) ).
thf(zip_derived_cl26396,plain,
( ( n9
!= ( sum @ n18 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl23945]) ).
thf(zip_derived_cl644_5454,plain,
( ( sum @ n18 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26409,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n11 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26396,zip_derived_cl644]) ).
thf('583',plain,
( ( sk_ != n9 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26409]) ).
thf(zip_derived_cl1531_5455,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_5456,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22872,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_cl1531,zip_derived_cl22862]) ).
thf(zip_derived_cl42_5457,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5458,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5459,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5460,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22935,plain,
( ( ( sum @ ( sum @ n8 @ n9 ) @ ( sum @ n7 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22872,zip_derived_cl42,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl321_5461,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_5462,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_5463,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5464,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638_5465,plain,
( ( sum @ n18 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26353,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n8 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22935,zip_derived_cl321,zip_derived_cl291,zip_derived_cl608,zip_derived_cl322,zip_derived_cl638]) ).
thf('584',plain,
( ( sk_ != n9 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26353]) ).
thf(zip_derived_cl1531_5466,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_5467,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22243,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_cl1531,zip_derived_cl22233]) ).
thf(zip_derived_cl42_5468,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5469,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5470,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5471,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22306,plain,
( ( ( sum @ ( sum @ n8 @ n8 ) @ ( sum @ n6 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22243,zip_derived_cl42,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl320_5472,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_5473,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_5474,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5475,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636_5476,plain,
( ( sum @ n18 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26124,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n7 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22306,zip_derived_cl320,zip_derived_cl260,zip_derived_cl576,zip_derived_cl322,zip_derived_cl636]) ).
thf('585',plain,
( ( sk_ != n9 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26124]) ).
thf(zip_derived_cl630_5477,plain,
( ( sum @ n18 @ n8 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5478,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_5479,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20188,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_cl1531,zip_derived_cl20178]) ).
thf(zip_derived_cl42_5480,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5481,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5482,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5483,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20251,plain,
( ( ( sum @ ( sum @ n8 @ n5 ) @ ( sum @ n3 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20188,zip_derived_cl42,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl317_5484,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_5485,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_5486,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5487,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25797,plain,
( ( n26
!= ( sum @ n18 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20251,zip_derived_cl317,zip_derived_cl167,zip_derived_cl480,zip_derived_cl322]) ).
thf(zip_derived_cl25813,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n4 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl25797]) ).
thf('586',plain,
( ( sk_ != n9 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25813]) ).
thf(zip_derived_cl626_5488,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5489,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_5490,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18781,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_cl1531,zip_derived_cl18771]) ).
thf(zip_derived_cl42_5491,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5492,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5493,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5494,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18844,plain,
( ( ( sum @ ( sum @ n8 @ n3 ) @ ( sum @ n1 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18781,zip_derived_cl42,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl315_5495,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_5496,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_5497,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5498,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25511,plain,
( ( n22
!= ( sum @ n18 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18844,zip_derived_cl315,zip_derived_cl105,zip_derived_cl416,zip_derived_cl322]) ).
thf(zip_derived_cl25791,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n2 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl25511]) ).
thf('587',plain,
( ( sk_ != n9 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25791]) ).
thf(zip_derived_cl624_5499,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1531_5500,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_5501,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18372,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_cl1531,zip_derived_cl18362]) ).
thf(zip_derived_cl42_5502,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5503,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl42_5504,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11_5505,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18435,plain,
( ( ( sum @ ( sum @ n8 @ n2 ) @ ( sum @ n0 @ n10 ) )
!= ( sum @ ( sum @ n8 @ n10 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18372,zip_derived_cl42,zip_derived_cl11,zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl314_5506,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5507,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_5508,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_5509,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25298,plain,
( ( n20
!= ( sum @ n18 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18435,zip_derived_cl314,zip_derived_cl74,zip_derived_cl384,zip_derived_cl322]) ).
thf(zip_derived_cl25779,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n1 )
& ( sk_ = n9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl25298]) ).
thf('588',plain,
( ( sk_ != n9 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25779]) ).
thf(zip_derived_cl1024_5510,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_5511,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5512,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23893,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_cl1541,zip_derived_cl23871]) ).
thf(zip_derived_cl52_5513,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_5514,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_5515,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_5516,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23956,plain,
( ( ( sum @ ( sum @ n18 @ n12 ) @ ( sum @ n10 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23893,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl634_5517,plain,
( ( sum @ n18 @ n12 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_5518,plain,
( ( sum @ n10 @ n20 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_5519,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303,plain,
( ( sum @ n7 @ n22 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26896,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23956,zip_derived_cl634,zip_derived_cl394,zip_derived_cl642,zip_derived_cl303]) ).
thf(zip_derived_cl29992,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n11 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl26896]) ).
thf('589',plain,
( ( sk__1 != n11 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29992]) ).
thf(zip_derived_cl1016,plain,
( ( sum @ n30 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_5520,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5521,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23889,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_cl1537,zip_derived_cl23871]) ).
thf(zip_derived_cl48_5522,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_5523,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5524,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_5525,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23952,plain,
( ( ( sum @ ( sum @ n14 @ n12 ) @ ( sum @ n10 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23889,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl510_5526,plain,
( ( sum @ n14 @ n12 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390,plain,
( ( sum @ n10 @ n16 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_5527,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26890,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ n30 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23952,zip_derived_cl510,zip_derived_cl390,zip_derived_cl514]) ).
thf(zip_derived_cl29899,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1016,zip_derived_cl26890]) ).
thf(zip_derived_cl896_5528,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29902,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n11 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29899,zip_derived_cl896]) ).
thf('590',plain,
( ( sk__1 != n11 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29902]) ).
thf(zip_derived_cl1006_5529,plain,
( ( sum @ n30 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_5530,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5531,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23874,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_cl1522,zip_derived_cl23871]) ).
thf(zip_derived_cl33_5532,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_5533,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_5534,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_5535,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23936,plain,
( ( ( sum @ ( sum @ n30 @ n12 ) @ n11 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23874,zip_derived_cl33,zip_derived_cl2,zip_derived_cl375,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29793,plain,
( ( ( sum @ n11 @ n11 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1006,zip_derived_cl23936]) ).
thf(zip_derived_cl416_5536,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_5537,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_5538,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29795,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n11 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29793,zip_derived_cl416,zip_derived_cl995,zip_derived_cl86]) ).
thf('591',plain,
( ( sk_ != n0 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29795]) ).
thf(zip_derived_cl992_5539,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_5540,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5541,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23892,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_cl1540,zip_derived_cl23871]) ).
thf(zip_derived_cl51_5542,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5543,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_5544,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_5545,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23955,plain,
( ( ( sum @ ( sum @ n17 @ n12 ) @ ( sum @ n10 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23892,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl603_5546,plain,
( ( sum @ n17 @ n12 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_5547,plain,
( ( sum @ n10 @ n19 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_5548,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_5549,plain,
( ( sum @ n5 @ n22 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26895,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23955,zip_derived_cl603,zip_derived_cl393,zip_derived_cl610,zip_derived_cl241]) ).
thf(zip_derived_cl29543,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n11 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26895]) ).
thf('592',plain,
( ( sk__1 != n11 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29543]) ).
thf(zip_derived_cl960_5550,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_5551,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5552,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23891,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_cl1539,zip_derived_cl23871]) ).
thf(zip_derived_cl50_5553,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5554,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_5555,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_5556,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23954,plain,
( ( ( sum @ ( sum @ n16 @ n12 ) @ ( sum @ n10 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23891,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl572_5557,plain,
( ( sum @ n16 @ n12 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_5558,plain,
( ( sum @ n10 @ n18 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_5559,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_5560,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26892,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23954,zip_derived_cl572,zip_derived_cl392,zip_derived_cl578,zip_derived_cl179]) ).
thf(zip_derived_cl29015,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n11 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26892]) ).
thf('593',plain,
( ( sk__1 != n11 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29015]) ).
thf(zip_derived_cl954_5561,plain,
( ( sum @ n28 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_5562,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5563,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23888,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_cl1536,zip_derived_cl23871]) ).
thf(zip_derived_cl47_5564,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_5565,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_5566,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_5567,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23951,plain,
( ( ( sum @ ( sum @ n13 @ n12 ) @ ( sum @ n10 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23888,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl479_5568,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_5569,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26887,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n28 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23951,zip_derived_cl479,zip_derived_cl389,zip_derived_cl482]) ).
thf(zip_derived_cl28969,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl954,zip_derived_cl26887]) ).
thf(zip_derived_cl864_5570,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28970,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n11 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28969,zip_derived_cl864]) ).
thf('594',plain,
( ( sk__1 != n11 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28970]) ).
thf(zip_derived_cl928_5571,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_5572,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5573,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23890,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_cl1538,zip_derived_cl23871]) ).
thf(zip_derived_cl49_5574,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5575,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_5576,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_5577,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23953,plain,
( ( ( sum @ ( sum @ n15 @ n12 ) @ ( sum @ n10 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23890,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl541_5578,plain,
( ( sum @ n15 @ n12 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391,plain,
( ( sum @ n10 @ n17 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_5579,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_5580,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26891,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23953,zip_derived_cl541,zip_derived_cl391,zip_derived_cl546,zip_derived_cl117]) ).
thf(zip_derived_cl28644,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n11 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26891]) ).
thf('595',plain,
( ( sk__1 != n11 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28644]) ).
thf(zip_derived_cl892_5581,plain,
( ( sum @ n26 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_5582,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5583,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23887,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_cl1535,zip_derived_cl23871]) ).
thf(zip_derived_cl46_5584,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_5585,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5586,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_5587,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23950,plain,
( ( ( sum @ ( sum @ n12 @ n12 ) @ ( sum @ n10 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23887,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl448_5588,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_5589,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26886,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n26 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23950,zip_derived_cl448,zip_derived_cl388,zip_derived_cl450]) ).
thf(zip_derived_cl28247,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl892,zip_derived_cl26886]) ).
thf(zip_derived_cl832_5590,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28248,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n11 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28247,zip_derived_cl832]) ).
thf('596',plain,
( ( sk__1 != n11 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28248]) ).
thf(zip_derived_cl866_5591,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_5592,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5593,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23900,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n12 ) @ ( sum @ n10 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl23871]) ).
thf(zip_derived_cl59_5594,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_5595,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_5596,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_5597,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23963,plain,
( ( ( sum @ ( sum @ n25 @ n12 ) @ ( sum @ n10 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23900,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl401_5598,plain,
( ( sum @ n10 @ n27 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26910,plain,
( ( ( sum @ ( sum @ n25 @ n12 ) @ n6 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23963,zip_derived_cl401]) ).
thf(zip_derived_cl27982,plain,
( ( ( sum @ ( sum @ n25 @ n12 ) @ n6 )
!= ( sum @ n21 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl26910]) ).
thf(zip_derived_cl851_5599,plain,
( ( sum @ n25 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_5600,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737,plain,
( ( sum @ n21 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28006,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n11 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27982,zip_derived_cl851,zip_derived_cl256,zip_derived_cl737]) ).
thf('597',plain,
( ( sk__1 != n11 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28006]) ).
thf(zip_derived_cl834_5601,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_5602,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5603,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23899,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_cl1547,zip_derived_cl23871]) ).
thf(zip_derived_cl58_5604,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_5605,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_5606,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_5607,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23962,plain,
( ( ( sum @ ( sum @ n24 @ n12 ) @ ( sum @ n10 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23899,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl400,plain,
( ( sum @ n10 @ n26 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26909,plain,
( ( ( sum @ ( sum @ n24 @ n12 ) @ n5 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23962,zip_derived_cl400]) ).
thf(zip_derived_cl27643,plain,
( ( ( sum @ ( sum @ n24 @ n12 ) @ n5 )
!= ( sum @ n19 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl26909]) ).
thf(zip_derived_cl820_5608,plain,
( ( sum @ n24 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_5609,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675,plain,
( ( sum @ n19 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27664,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n11 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27643,zip_derived_cl820,zip_derived_cl224,zip_derived_cl675]) ).
thf('598',plain,
( ( sk__1 != n11 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27664]) ).
thf(zip_derived_cl830,plain,
( ( sum @ n24 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_5610,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5611,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23886,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_cl1534,zip_derived_cl23871]) ).
thf(zip_derived_cl45_5612,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_5613,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5614,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_5615,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23949,plain,
( ( ( sum @ ( sum @ n11 @ n12 ) @ ( sum @ n10 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23886,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl417_5616,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_5617,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_5618,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26885,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n24 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23949,zip_derived_cl417,zip_derived_cl387,zip_derived_cl418]) ).
thf(zip_derived_cl27572,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl830,zip_derived_cl26885]) ).
thf(zip_derived_cl800_5619,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27573,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n11 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27572,zip_derived_cl800]) ).
thf('599',plain,
( ( sk__1 != n11 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27573]) ).
thf(zip_derived_cl802_5620,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_5621,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5622,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23898,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_cl1546,zip_derived_cl23871]) ).
thf(zip_derived_cl57_5623,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_5624,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_5625,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_5626,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23961,plain,
( ( ( sum @ ( sum @ n23 @ n12 ) @ ( sum @ n10 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23898,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl399,plain,
( ( sum @ n10 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26906,plain,
( ( ( sum @ ( sum @ n23 @ n12 ) @ n4 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23961,zip_derived_cl399]) ).
thf(zip_derived_cl27307,plain,
( ( ( sum @ ( sum @ n23 @ n12 ) @ n4 )
!= ( sum @ n17 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl26906]) ).
thf(zip_derived_cl789_5627,plain,
( ( sum @ n23 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_5628,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613_5629,plain,
( ( sum @ n17 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27324,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n11 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27307,zip_derived_cl789,zip_derived_cl192,zip_derived_cl613]) ).
thf('600',plain,
( ( sk_ != n24 )
| ( sk__1 != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27324]) ).
thf(zip_derived_cl770_5630,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_5631,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5632,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23897,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_cl1545,zip_derived_cl23871]) ).
thf(zip_derived_cl56_5633,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_5634,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_5635,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_5636,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23960,plain,
( ( ( sum @ ( sum @ n22 @ n12 ) @ ( sum @ n10 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23897,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl758_5637,plain,
( ( sum @ n22 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_5638,plain,
( ( sum @ n10 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_5639,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26905,plain,
( ( n6
!= ( sum @ ( sum @ n22 @ n24 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23960,zip_derived_cl758,zip_derived_cl398,zip_derived_cl160]) ).
thf(zip_derived_cl27000,plain,
( ( n6
!= ( sum @ n15 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl26905]) ).
thf(zip_derived_cl551_5640,plain,
( ( sum @ n15 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27014,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n11 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27000,zip_derived_cl551]) ).
thf('601',plain,
( ( sk__1 != n11 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27014]) ).
thf(zip_derived_cl1544_5641,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5642,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23896,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_cl1544,zip_derived_cl23871]) ).
thf(zip_derived_cl55_5643,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_5644,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_5645,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_5646,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23959,plain,
( ( ( sum @ ( sum @ n21 @ n12 ) @ ( sum @ n10 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23896,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl727_5647,plain,
( ( sum @ n21 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_5648,plain,
( ( sum @ n10 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_5649,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_5650,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489,plain,
( ( sum @ n13 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26903,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n11 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23959,zip_derived_cl727,zip_derived_cl397,zip_derived_cl128,zip_derived_cl738,zip_derived_cl489]) ).
thf('602',plain,
( ( sk__1 != n11 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26903]) ).
thf(zip_derived_cl1543_5651,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5652,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23895,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_cl1543,zip_derived_cl23871]) ).
thf(zip_derived_cl54_5653,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_5654,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_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_cl23958,plain,
( ( ( sum @ ( sum @ n20 @ n12 ) @ ( sum @ n10 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23895,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl696_5657,plain,
( ( sum @ n20 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396,plain,
( ( sum @ n10 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_5658,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_5659,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_5660,plain,
( ( sum @ n11 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26899,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n11 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23958,zip_derived_cl696,zip_derived_cl396,zip_derived_cl96,zip_derived_cl706,zip_derived_cl427]) ).
thf('603',plain,
( ( sk__1 != n11 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26899]) ).
thf(zip_derived_cl1542_5661,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5662,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23894,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_cl1542,zip_derived_cl23871]) ).
thf(zip_derived_cl53_5663,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5664,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_5665,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_5666,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23957,plain,
( ( ( sum @ ( sum @ n19 @ n12 ) @ ( sum @ n10 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23894,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl665_5667,plain,
( ( sum @ n19 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_5668,plain,
( ( sum @ n10 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5669,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_5670,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_5671,plain,
( ( sum @ n9 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26897,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n11 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23957,zip_derived_cl665,zip_derived_cl395,zip_derived_cl64,zip_derived_cl674,zip_derived_cl365]) ).
thf('604',plain,
( ( sk__1 != n11 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26897]) ).
thf(zip_derived_cl736_5672,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_5673,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5674,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23884,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_cl1532,zip_derived_cl23871]) ).
thf(zip_derived_cl43_5675,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_5676,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_5677,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_5678,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_5679,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_5680,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_5681,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23946,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n20 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23884,zip_derived_cl43,zip_derived_cl355,zip_derived_cl12,zip_derived_cl385,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354]) ).
thf(zip_derived_cl26659,plain,
( ( n11
!= ( sum @ n20 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl23946]) ).
thf(zip_derived_cl706_5682,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26674,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n11 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26659,zip_derived_cl706]) ).
thf('605',plain,
( ( sk__1 != n11 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26674]) ).
thf(zip_derived_cl672_5683,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_5684,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5685,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23882,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_cl1530,zip_derived_cl23871]) ).
thf(zip_derived_cl41_5686,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_5687,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_5688,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_5689,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_5690,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_5691,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23944,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n16 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23882,zip_derived_cl41,zip_derived_cl293,zip_derived_cl10,zip_derived_cl383,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290]) ).
thf(zip_derived_cl26130,plain,
( ( n7
!= ( sum @ n16 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl23944]) ).
thf(zip_derived_cl582,plain,
( ( sum @ n16 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26143,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n11 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26130,zip_derived_cl582]) ).
thf('606',plain,
( ( sk__1 != n11 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26143]) ).
thf(zip_derived_cl576_5692,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5693,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl23871_5694,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_cl386,zip_derived_cl11132]) ).
thf(zip_derived_cl23879,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_cl1527,zip_derived_cl23871]) ).
thf(zip_derived_cl38_5695,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_5696,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5697,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_5698,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5699,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5700,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5701,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23941,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n10 @ n22 ) )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23879,zip_derived_cl38,zip_derived_cl200,zip_derived_cl7,zip_derived_cl380,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194]) ).
thf(zip_derived_cl396_5702,plain,
( ( sum @ n10 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25125,plain,
( ( ( sum @ n16 @ n16 )
!= n1 )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl23941,zip_derived_cl396]) ).
thf(zip_derived_cl25345,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n11 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl25125]) ).
thf('607',plain,
( ( sk__1 != n11 )
| ( sk_ != n5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25345]) ).
thf(zip_derived_cl1533_5703,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl4877_5704,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_cl1637,zip_derived_cl13,zip_derived_cl13]) ).
thf(zip_derived_cl4889,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_cl1533,zip_derived_cl4877]) ).
thf(zip_derived_cl13_5705,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_5706,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl4951,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_cl4889,zip_derived_cl13,zip_derived_cl13]) ).
thf('608',plain,
( ( sk__1 != n11 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4951]) ).
thf(zip_derived_cl1527_5707,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_5708,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29611,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl29595]) ).
thf(zip_derived_cl38_5709,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_5710,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5711,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5712,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5713,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5714,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_5715,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29675,plain,
( ( ( sum @ n5 @ ( sum @ n30 @ n6 ) )
!= n10 )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29611,zip_derived_cl38,zip_derived_cl189,zip_derived_cl7,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl374]) ).
thf(zip_derived_cl1000_5716,plain,
( ( sum @ n30 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_5717,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30053,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n0 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29675,zip_derived_cl1000,zip_derived_cl224]) ).
thf('609',plain,
( ( sk_ != n5 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30053]) ).
thf(zip_derived_cl1024_5718,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5719,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_5720,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27681,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl27632]) ).
thf(zip_derived_cl38_5721,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_5722,plain,
( ( sum @ n4 @ n26 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5723,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl814_5724,plain,
( ( sum @ n24 @ n6 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5725,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5726,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5727,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_5728,plain,
( ( sum @ n10 @ n19 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27743,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n25 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27681,zip_derived_cl38,zip_derived_cl214,zip_derived_cl7,zip_derived_cl814,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl393]) ).
thf(zip_derived_cl30001,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n25 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27743]) ).
thf('610',plain,
( ( sk_ != n5 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30001]) ).
thf(zip_derived_cl992_5729,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5730,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5731,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27335,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl27296]) ).
thf(zip_derived_cl38_5732,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_5733,plain,
( ( sum @ n4 @ n25 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5734,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl783_5735,plain,
( ( sum @ n23 @ n6 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5736,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5737,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5738,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391_5739,plain,
( ( sum @ n10 @ n17 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27397,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n24 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27335,zip_derived_cl38,zip_derived_cl213,zip_derived_cl7,zip_derived_cl783,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl391]) ).
thf(zip_derived_cl29549,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n24 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl27397]) ).
thf('611',plain,
( ( sk_ != n5 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29549]) ).
thf(zip_derived_cl1527_5740,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_5741,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29124,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl29056]) ).
thf(zip_derived_cl38_5742,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_5743,plain,
( ( sum @ n4 @ n30 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5744,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl938_5745,plain,
( ( sum @ n28 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_5746,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5747,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5748,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5749,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_5750,plain,
( ( sum @ n10 @ n27 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29189,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n29 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29124,zip_derived_cl38,zip_derived_cl218,zip_derived_cl7,zip_derived_cl938,zip_derived_cl160,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl401]) ).
thf('612',plain,
( ( sk_ != n5 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29189]) ).
thf(zip_derived_cl960_5751,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5752,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_5753,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27021,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl26989]) ).
thf(zip_derived_cl38_5754,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_5755,plain,
( ( sum @ n4 @ n24 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5756,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl752_5757,plain,
( ( sum @ n22 @ n6 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5758,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5759,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5760,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_5761,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27083,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n23 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27021,zip_derived_cl38,zip_derived_cl212,zip_derived_cl7,zip_derived_cl752,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl389]) ).
thf(zip_derived_cl29018,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n23 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl27083]) ).
thf('613',plain,
( ( sk_ != n5 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29018]) ).
thf(zip_derived_cl1527_5762,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_5763,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28752,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl28682]) ).
thf(zip_derived_cl38_5764,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_5765,plain,
( ( sum @ n4 @ n29 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5766,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl907_5767,plain,
( ( sum @ n27 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_5768,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5769,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5770,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5771,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_5772,plain,
( ( sum @ n10 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28816,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n28 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28752,zip_derived_cl38,zip_derived_cl217,zip_derived_cl7,zip_derived_cl907,zip_derived_cl128,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl399]) ).
thf('614',plain,
( ( sk_ != n5 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28816]) ).
thf(zip_derived_cl928_5773,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5774,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_5775,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26723,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl26692]) ).
thf(zip_derived_cl38_5776,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_5777,plain,
( ( sum @ n4 @ n23 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5778,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_5779,plain,
( ( sum @ n21 @ n6 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5780,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5781,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5782,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_5783,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26785,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n22 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26723,zip_derived_cl38,zip_derived_cl211,zip_derived_cl7,zip_derived_cl721,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl387]) ).
thf(zip_derived_cl28643,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n22 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26785]) ).
thf('615',plain,
( ( sk_ != n5 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28643]) ).
thf(zip_derived_cl896_5784,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5785,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_5786,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26448,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl26424]) ).
thf(zip_derived_cl38_5787,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_5788,plain,
( ( sum @ n4 @ n22 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5789,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl690_5790,plain,
( ( sum @ n20 @ n6 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5791,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5792,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5793,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_5794,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26510,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n21 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26448,zip_derived_cl38,zip_derived_cl210,zip_derived_cl7,zip_derived_cl690,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl385]) ).
thf(zip_derived_cl28290,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n21 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26510]) ).
thf('616',plain,
( ( sk_ != n5 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28290]) ).
thf(zip_derived_cl864_5795,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5796,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_5797,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26173,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl26155]) ).
thf(zip_derived_cl38_5798,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_5799,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5800,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659_5801,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5802,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5803,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5804,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383_5805,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26235,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26173,zip_derived_cl38,zip_derived_cl209,zip_derived_cl7,zip_derived_cl659,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl383]) ).
thf(zip_derived_cl27934,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n20 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26235]) ).
thf('617',plain,
( ( sk_ != n5 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27934]) ).
thf(zip_derived_cl768_5806,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5807,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_5808,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25363,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl25355]) ).
thf(zip_derived_cl38_5809,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_5810,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5811,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl566_5812,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5813,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5814,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5815,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377_5816,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25425,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n17 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25363,zip_derived_cl38,zip_derived_cl206,zip_derived_cl7,zip_derived_cl566,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl377]) ).
thf(zip_derived_cl26959,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n17 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl25425]) ).
thf('618',plain,
( ( sk_ != n5 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26959]) ).
thf(zip_derived_cl736_5817,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5818,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_5819,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25163,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl25157]) ).
thf(zip_derived_cl38_5820,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_5821,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5822,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535_5823,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5824,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5825,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5826,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_5827,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25225,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n16 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25163,zip_derived_cl38,zip_derived_cl205,zip_derived_cl7,zip_derived_cl535,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl375]) ).
thf(zip_derived_cl26664,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n16 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25225]) ).
thf('619',plain,
( ( sk_ != n5 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26664]) ).
thf(zip_derived_cl704_5828,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5829,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_5830,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24944,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl24936]) ).
thf(zip_derived_cl38_5831,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_5832,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5833,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504_5834,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5835,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5836,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5837,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_5838,plain,
( ( sum @ n10 @ n30 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25006,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24944,zip_derived_cl38,zip_derived_cl204,zip_derived_cl7,zip_derived_cl504,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl404]) ).
thf(zip_derived_cl26399,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n15 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25006]) ).
thf('620',plain,
( ( sk_ != n5 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26399]) ).
thf(zip_derived_cl672_5839,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5840,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_5841,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24681,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl24673]) ).
thf(zip_derived_cl38_5842,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_5843,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5844,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_5845,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5846,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5847,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5848,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_5849,plain,
( ( sum @ n10 @ n28 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24743,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24681,zip_derived_cl38,zip_derived_cl203,zip_derived_cl7,zip_derived_cl473,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl402]) ).
thf(zip_derived_cl26131,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n14 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl24743]) ).
thf('621',plain,
( ( sk_ != n5 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26131]) ).
thf(zip_derived_cl640_5850,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1527_5851,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_5852,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24415,plain,
( ( ( sum @ ( sum @ ( pred @ n5 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n5 ) ) )
!= ( sum @ ( sum @ ( pred @ n5 ) @ ( succ @ n5 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1527,zip_derived_cl24407]) ).
thf(zip_derived_cl38_5853,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_5854,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5855,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_5856,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5857,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5858,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5859,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_5860,plain,
( ( sum @ n10 @ n26 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24477,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24415,zip_derived_cl38,zip_derived_cl202,zip_derived_cl7,zip_derived_cl442,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194,zip_derived_cl400]) ).
thf(zip_derived_cl25869,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n13 )
& ( sk_ = n5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl24477]) ).
thf('622',plain,
( ( sk_ != n5 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25869]) ).
thf(zip_derived_cl1527_5861,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_5862,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20184,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_cl1527,zip_derived_cl20178]) ).
thf(zip_derived_cl38_5863,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5864,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5865,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5866,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20247,plain,
( ( ( sum @ ( sum @ n4 @ n5 ) @ ( sum @ n3 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20184,zip_derived_cl38,zip_derived_cl7,zip_derived_cl38,zip_derived_cl7]) ).
thf(zip_derived_cl193_5867,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_5868,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_5869,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5870,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_5871,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25787,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n4 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20247,zip_derived_cl193,zip_derived_cl163,zip_derived_cl352,zip_derived_cl194,zip_derived_cl382]) ).
thf('623',plain,
( ( sk_ != n5 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25787]) ).
thf(zip_derived_cl1527_5872,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_5873,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18777,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_cl1527,zip_derived_cl18771]) ).
thf(zip_derived_cl38_5874,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5875,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5876,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5877,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18840,plain,
( ( ( sum @ ( sum @ n4 @ n3 ) @ ( sum @ n1 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18777,zip_derived_cl38,zip_derived_cl7,zip_derived_cl38,zip_derived_cl7]) ).
thf(zip_derived_cl191_5878,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_5879,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_5880,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5881,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_5882,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25503,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n2 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18840,zip_derived_cl191,zip_derived_cl101,zip_derived_cl288,zip_derived_cl194,zip_derived_cl378]) ).
thf('624',plain,
( ( sk_ != n5 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25503]) ).
thf(zip_derived_cl1527_5883,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_5884,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18368,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_cl1527,zip_derived_cl18362]) ).
thf(zip_derived_cl38_5885,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5886,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5887,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5888,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18431,plain,
( ( ( sum @ ( sum @ n4 @ n2 ) @ ( sum @ n0 @ n6 ) )
!= ( sum @ ( sum @ n4 @ n6 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18368,zip_derived_cl38,zip_derived_cl7,zip_derived_cl38,zip_derived_cl7]) ).
thf(zip_derived_cl190_5889,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5890,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_5891,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5892,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_5893,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25290,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n1 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18431,zip_derived_cl190,zip_derived_cl70,zip_derived_cl256,zip_derived_cl194,zip_derived_cl376]) ).
thf('625',plain,
( ( sk_ != n5 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25290]) ).
thf(zip_derived_cl1527_5894,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_5895,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22868,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_cl1527,zip_derived_cl22862]) ).
thf(zip_derived_cl38_5896,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_5897,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5898,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_5899,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5900,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5901,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5902,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22930,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ n10 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22868,zip_derived_cl38,zip_derived_cl197,zip_derived_cl7,zip_derived_cl287,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194]) ).
thf(zip_derived_cl480_5903,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_5904,plain,
( ( sum @ n10 @ n16 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25095,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n8 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22930,zip_derived_cl480,zip_derived_cl390]) ).
thf('626',plain,
( ( sk_ != n5 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25095]) ).
thf(zip_derived_cl1527_5905,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_5906,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22239,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_cl1527,zip_derived_cl22233]) ).
thf(zip_derived_cl38_5907,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_5908,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5909,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_5910,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl38_5911,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7_5912,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_5913,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22301,plain,
( ( ( sum @ n12 @ n12 )
!= ( sum @ n10 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22239,zip_derived_cl38,zip_derived_cl196,zip_derived_cl7,zip_derived_cl256,zip_derived_cl38,zip_derived_cl7,zip_derived_cl194]) ).
thf(zip_derived_cl448_5914,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_5915,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25081,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n7 )
& ( sk_ = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22301,zip_derived_cl448,zip_derived_cl388]) ).
thf('627',plain,
( ( sk_ != n5 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25081]) ).
thf(zip_derived_cl1548_5916,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5917,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27356,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl27296]) ).
thf(zip_derived_cl59_5918,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_5919,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_5920,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_5921,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27432,plain,
( ( ( sum @ ( sum @ n25 @ n25 ) @ ( sum @ n23 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27356,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl864_5922,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl804_5923,plain,
( ( sum @ n23 @ n27 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_5924,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_5925,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_5926,plain,
( ( sum @ n21 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30241,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n24 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27432,zip_derived_cl864,zip_derived_cl804,zip_derived_cl672,zip_derived_cl866,zip_derived_cl732]) ).
thf('628',plain,
( ( sk__1 != n24 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30241]) ).
thf(zip_derived_cl1547_5927,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5928,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27355,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl27296]) ).
thf(zip_derived_cl58_5929,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_5930,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_5931,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_5932,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27431,plain,
( ( ( sum @ ( sum @ n24 @ n25 ) @ ( sum @ n23 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27355,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl833,plain,
( ( sum @ n24 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl803_5933,plain,
( ( sum @ n23 @ n26 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_5934,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_5935,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl670_5936,plain,
( ( sum @ n19 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30239,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n24 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27431,zip_derived_cl833,zip_derived_cl803,zip_derived_cl640,zip_derived_cl834,zip_derived_cl670]) ).
thf('629',plain,
( ( sk__1 != n24 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30239]) ).
thf(zip_derived_cl1019,plain,
( ( sum @ n30 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_5937,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5938,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27330,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl27296]) ).
thf(zip_derived_cl33_5939,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_5940,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl778_5941,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_5942,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_5943,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27392,plain,
( ( ( sum @ ( sum @ n30 @ n25 ) @ n24 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27330,zip_derived_cl33,zip_derived_cl2,zip_derived_cl778,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29931,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1019,zip_derived_cl27392]) ).
thf(zip_derived_cl832_5944,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_5945,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5946,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29933,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n24 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29931,zip_derived_cl832,zip_derived_cl995,zip_derived_cl81]) ).
thf('630',plain,
( ( sk_ != n0 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29933]) ).
thf(zip_derived_cl1011_5947,plain,
( ( sum @ n30 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_5948,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5949,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27345,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl27296]) ).
thf(zip_derived_cl48_5950,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523_5951,plain,
( ( sum @ n14 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_5952,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl793_5953,plain,
( ( sum @ n23 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_5954,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_5955,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_5956,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_5957,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27412,plain,
( ( n16
!= ( sum @ n30 @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27345,zip_derived_cl48,zip_derived_cl523,zip_derived_cl17,zip_derived_cl793,zip_derived_cl320,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29848,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n24 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl27412]) ).
thf('631',plain,
( ( sk__1 != n24 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29848]) ).
thf(zip_derived_cl949_5958,plain,
( ( sum @ n28 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_5959,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5960,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27344,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl27296]) ).
thf(zip_derived_cl47_5961,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492,plain,
( ( sum @ n13 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_5962,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl792_5963,plain,
( ( sum @ n23 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_5964,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_5965,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_5966,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_5967,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27411,plain,
( ( n14
!= ( sum @ n28 @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27344,zip_derived_cl47,zip_derived_cl492,zip_derived_cl16,zip_derived_cl792,zip_derived_cl288,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28957,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n24 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl27411]) ).
thf('632',plain,
( ( sk__1 != n24 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28957]) ).
thf(zip_derived_cl887_5968,plain,
( ( sum @ n26 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_5969,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5970,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27343,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl27296]) ).
thf(zip_derived_cl46_5971,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5972,plain,
( ( sum @ n12 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_5973,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl791_5974,plain,
( ( sum @ n23 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_5975,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_5976,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_5977,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_5978,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27410,plain,
( ( n12
!= ( sum @ n26 @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27343,zip_derived_cl46,zip_derived_cl461,zip_derived_cl15,zip_derived_cl791,zip_derived_cl256,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28218,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n24 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl887,zip_derived_cl27410]) ).
thf('633',plain,
( ( sk__1 != n24 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28218]) ).
thf(zip_derived_cl825_5979,plain,
( ( sum @ n24 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_5980,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5981,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27342,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl27296]) ).
thf(zip_derived_cl45_5982,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_5983,plain,
( ( sum @ n11 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_5984,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl790_5985,plain,
( ( sum @ n23 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_5986,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_5987,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_5988,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_5989,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27409,plain,
( ( n10
!= ( sum @ n24 @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27342,zip_derived_cl45,zip_derived_cl430,zip_derived_cl14,zip_derived_cl790,zip_derived_cl224,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl27535,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n24 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl825,zip_derived_cl27409]) ).
thf('634',plain,
( ( sk__1 != n24 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27535]) ).
thf(zip_derived_cl1545_5990,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_5991,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27353,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl27296]) ).
thf(zip_derived_cl56_5992,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl771,plain,
( ( sum @ n22 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_5993,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl801_5994,plain,
( ( sum @ n23 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_5995,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_5996,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_5997,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_5998,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_5999,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27427,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n24 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27353,zip_derived_cl56,zip_derived_cl771,zip_derived_cl25,zip_derived_cl801,zip_derived_cl576,zip_derived_cl56,zip_derived_cl25,zip_derived_cl770,zip_derived_cl546]) ).
thf('635',plain,
( ( sk__1 != n24 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27427]) ).
thf(zip_derived_cl1544_6000,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6001,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27352,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl27296]) ).
thf(zip_derived_cl55_6002,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl740,plain,
( ( sum @ n21 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_6003,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_6004,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_6005,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_6006,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_6007,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_6008,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484,plain,
( ( sum @ n13 @ n17 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27425,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n24 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27352,zip_derived_cl55,zip_derived_cl740,zip_derived_cl24,zip_derived_cl800,zip_derived_cl544,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl484]) ).
thf('636',plain,
( ( sk__1 != n24 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27425]) ).
thf(zip_derived_cl1543_6009,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6010,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27351,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl27296]) ).
thf(zip_derived_cl54_6011,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709_6012,plain,
( ( sum @ n20 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6013,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl799_6014,plain,
( ( sum @ n23 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_6015,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_6016,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6017,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_6018,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_6019,plain,
( ( sum @ n11 @ n17 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27423,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n24 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27351,zip_derived_cl54,zip_derived_cl709,zip_derived_cl23,zip_derived_cl799,zip_derived_cl512,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl422]) ).
thf('637',plain,
( ( sk__1 != n24 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27423]) ).
thf(zip_derived_cl1542_6020,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6021,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27350,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl27296]) ).
thf(zip_derived_cl53_6022,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678,plain,
( ( sum @ n19 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_6023,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl798_6024,plain,
( ( sum @ n23 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_6025,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_6026,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_6027,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_6028,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_6029,plain,
( ( sum @ n9 @ n17 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27421,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n24 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27350,zip_derived_cl53,zip_derived_cl678,zip_derived_cl22,zip_derived_cl798,zip_derived_cl480,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl360]) ).
thf('638',plain,
( ( sk__1 != n24 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27421]) ).
thf(zip_derived_cl1541_6030,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6031,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27349,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl27296]) ).
thf(zip_derived_cl52_6032,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647_6033,plain,
( ( sum @ n18 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_6034,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl797_6035,plain,
( ( sum @ n23 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_6036,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_6037,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_6038,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_6039,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_6040,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27419,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n24 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27349,zip_derived_cl52,zip_derived_cl647,zip_derived_cl21,zip_derived_cl797,zip_derived_cl448,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl298]) ).
thf('639',plain,
( ( sk__1 != n24 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27419]) ).
thf(zip_derived_cl1540_6041,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6042,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27348,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl27296]) ).
thf(zip_derived_cl51_6043,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616_6044,plain,
( ( sum @ n17 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6045,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl796_6046,plain,
( ( sum @ n23 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_6047,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_6048,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6049,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_6050,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_6051,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27417,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n24 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27348,zip_derived_cl51,zip_derived_cl616,zip_derived_cl20,zip_derived_cl796,zip_derived_cl416,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl236]) ).
thf('640',plain,
( ( sk__1 != n24 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27417]) ).
thf(zip_derived_cl1539_6052,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6053,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27347,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl27296]) ).
thf(zip_derived_cl50_6054,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585,plain,
( ( sum @ n16 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_6055,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl795_6056,plain,
( ( sum @ n23 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_6057,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_6058,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_6059,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_6060,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_6061,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27415,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n24 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27347,zip_derived_cl50,zip_derived_cl585,zip_derived_cl19,zip_derived_cl795,zip_derived_cl384,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl174]) ).
thf('641',plain,
( ( sk__1 != n24 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27415]) ).
thf(zip_derived_cl1538_6062,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6063,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27346,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl27296]) ).
thf(zip_derived_cl49_6064,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554_6065,plain,
( ( sum @ n15 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_6066,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl794_6067,plain,
( ( sum @ n23 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_6068,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_6069,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_6070,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_6071,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_6072,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27413,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n24 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27346,zip_derived_cl49,zip_derived_cl554,zip_derived_cl18,zip_derived_cl794,zip_derived_cl352,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl112]) ).
thf('642',plain,
( ( sk__1 != n24 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27413]) ).
thf(zip_derived_cl1533_6073,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6074,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27341,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl27296]) ).
thf(zip_derived_cl44_6075,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_6076,plain,
( ( sum @ n10 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6077,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl789_6078,plain,
( ( sum @ n23 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_6079,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6080,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6081,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6082,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl763_6083,plain,
( ( sum @ n22 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27407,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n24 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27341,zip_derived_cl44,zip_derived_cl399,zip_derived_cl13,zip_derived_cl789,zip_derived_cl192,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl763]) ).
thf('643',plain,
( ( sk__1 != n24 )
| ( sk_ != n11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27407]) ).
thf(zip_derived_cl1532_6084,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6085,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27340,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl27296]) ).
thf(zip_derived_cl43_6086,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_6087,plain,
( ( sum @ n9 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_6088,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl788_6089,plain,
( ( sum @ n23 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_6090,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_6091,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_6092,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_6093,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl701_6094,plain,
( ( sum @ n20 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27405,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n24 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27340,zip_derived_cl43,zip_derived_cl368,zip_derived_cl12,zip_derived_cl788,zip_derived_cl160,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl701]) ).
thf('644',plain,
( ( sk__1 != n24 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27405]) ).
thf(zip_derived_cl1530_6095,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27296_6096,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n25 ) @ ( sum @ n23 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n17 ) )
<= ( sk__1 = n24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl16164]) ).
thf(zip_derived_cl27338,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n25 ) @ ( sum @ n23 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n17 ) )
<= ( ( sk__1 = n24 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl27296]) ).
thf(zip_derived_cl41_6097,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306,plain,
( ( sum @ n7 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_6098,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl786_6099,plain,
( ( sum @ n23 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_6100,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_6101,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_6102,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_6103,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577,plain,
( ( sum @ n16 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27401,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n24 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27338,zip_derived_cl41,zip_derived_cl306,zip_derived_cl10,zip_derived_cl786,zip_derived_cl96,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl577]) ).
thf('645',plain,
( ( sk__1 != n24 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27401]) ).
thf(zip_derived_cl1546_6104,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl6572_6105,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_cl1904,zip_derived_cl26,zip_derived_cl26]) ).
thf(zip_derived_cl6597,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_cl1546,zip_derived_cl6572]) ).
thf(zip_derived_cl26_6106,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_6107,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6659,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_cl6597,zip_derived_cl26,zip_derived_cl26]) ).
thf('646',plain,
( ( sk_ != n24 )
| ( sk__1 != n24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6659]) ).
thf(zip_derived_cl1533_6108,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_6109,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29617,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl29595]) ).
thf(zip_derived_cl44_6110,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_6111,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6112,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6113,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6114,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6115,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746_6116,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29681,plain,
( ( ( sum @ n11 @ ( sum @ n30 @ n12 ) )
!= n22 )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29617,zip_derived_cl44,zip_derived_cl375,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl746]) ).
thf(zip_derived_cl1006_6117,plain,
( ( sum @ n30 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_6118,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30065,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n0 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29681,zip_derived_cl1006,zip_derived_cl416]) ).
thf('647',plain,
( ( sk_ != n11 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30065]) ).
thf(zip_derived_cl1533_6119,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_6120,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29130,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl29056]) ).
thf(zip_derived_cl44_6121,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_6122,plain,
( ( sum @ n10 @ n30 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6123,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl944_6124,plain,
( ( sum @ n28 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_6125,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6126,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6127,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6128,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl773_6129,plain,
( ( sum @ n22 @ n27 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29201,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n29 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29130,zip_derived_cl44,zip_derived_cl404,zip_derived_cl13,zip_derived_cl944,zip_derived_cl352,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl773]) ).
thf('648',plain,
( ( sk_ != n11 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29201]) ).
thf(zip_derived_cl960_6130,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6131,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_6132,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25369,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl25355]) ).
thf(zip_derived_cl44_6133,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_6134,plain,
( ( sum @ n10 @ n18 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6135,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572_6136,plain,
( ( sum @ n16 @ n12 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6137,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6138,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6139,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25431,plain,
( ( ( sum @ n28 @ n28 )
!= ( sum @ n22 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25369,zip_derived_cl44,zip_derived_cl392,zip_derived_cl13,zip_derived_cl572,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl29004,plain,
( ( n25
!= ( sum @ n22 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl25431]) ).
thf(zip_derived_cl749_6140,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29031,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n17 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29004,zip_derived_cl749]) ).
thf('649',plain,
( ( sk_ != n11 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29031]) ).
thf(zip_derived_cl1533_6141,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_6142,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28758,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl28682]) ).
thf(zip_derived_cl44_6143,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_6144,plain,
( ( sum @ n10 @ n29 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6145,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl913_6146,plain,
( ( sum @ n27 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_6147,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6148,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6149,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6150,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl771_6151,plain,
( ( sum @ n22 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28828,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n28 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28758,zip_derived_cl44,zip_derived_cl403,zip_derived_cl13,zip_derived_cl913,zip_derived_cl320,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl771]) ).
thf('650',plain,
( ( sk_ != n11 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28828]) ).
thf(zip_derived_cl928_6152,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6153,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_6154,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25169,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl25157]) ).
thf(zip_derived_cl44_6155,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391_6156,plain,
( ( sum @ n10 @ n17 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6157,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl541_6158,plain,
( ( sum @ n15 @ n12 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6159,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6160,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6161,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25231,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ n22 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25169,zip_derived_cl44,zip_derived_cl391,zip_derived_cl13,zip_derived_cl541,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl28631,plain,
( ( n23
!= ( sum @ n22 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl25231]) ).
thf(zip_derived_cl747,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28657,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n16 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28631,zip_derived_cl747]) ).
thf('651',plain,
( ( sk_ != n11 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28657]) ).
thf(zip_derived_cl896_6162,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6163,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_6164,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24950,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl24936]) ).
thf(zip_derived_cl44_6165,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_6166,plain,
( ( sum @ n10 @ n16 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6167,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl510_6168,plain,
( ( sum @ n14 @ n12 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6169,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6170,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6171,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25012,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ n22 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24950,zip_derived_cl44,zip_derived_cl390,zip_derived_cl13,zip_derived_cl510,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl28280,plain,
( ( n21
!= ( sum @ n22 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl25012]) ).
thf(zip_derived_cl776_6172,plain,
( ( sum @ n22 @ n30 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28303,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n15 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28280,zip_derived_cl776]) ).
thf('652',plain,
( ( sk_ != n11 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28303]) ).
thf(zip_derived_cl864_6173,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6174,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_6175,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24687,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl24673]) ).
thf(zip_derived_cl44_6176,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_6177,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6178,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479_6179,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6180,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6181,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6182,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24749,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n22 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24687,zip_derived_cl44,zip_derived_cl389,zip_derived_cl13,zip_derived_cl479,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl27926,plain,
( ( n19
!= ( sum @ n22 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl24749]) ).
thf(zip_derived_cl774_6183,plain,
( ( sum @ n22 @ n28 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27948,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n14 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27926,zip_derived_cl774]) ).
thf('653',plain,
( ( sk_ != n11 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27948]) ).
thf(zip_derived_cl1533_6184,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6185,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27687,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl27632]) ).
thf(zip_derived_cl44_6186,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_6187,plain,
( ( sum @ n10 @ n26 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6188,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl820_6189,plain,
( ( sum @ n24 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_6190,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6191,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6192,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6193,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl765_6194,plain,
( ( sum @ n22 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27754,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n25 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27687,zip_derived_cl44,zip_derived_cl400,zip_derived_cl13,zip_derived_cl820,zip_derived_cl224,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl765]) ).
thf('654',plain,
( ( sk_ != n11 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27754]) ).
thf(zip_derived_cl832_6195,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6196,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_6197,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24421,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl24407]) ).
thf(zip_derived_cl44_6198,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_6199,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6200,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_6201,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6202,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6203,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6204,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24483,plain,
( ( ( sum @ n24 @ n24 )
!= ( sum @ n22 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24421,zip_derived_cl44,zip_derived_cl388,zip_derived_cl13,zip_derived_cl448,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl27590,plain,
( ( n17
!= ( sum @ n22 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl24483]) ).
thf(zip_derived_cl772,plain,
( ( sum @ n22 @ n26 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27609,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n13 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27590,zip_derived_cl772]) ).
thf('655',plain,
( ( sk_ != n11 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27609]) ).
thf(zip_derived_cl1533_6205,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6206,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27027,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl26989]) ).
thf(zip_derived_cl44_6207,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_6208,plain,
( ( sum @ n10 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6209,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl758_6210,plain,
( ( sum @ n22 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_6211,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6212,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6213,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6214,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl761,plain,
( ( sum @ n22 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27092,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n23 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27027,zip_derived_cl44,zip_derived_cl398,zip_derived_cl13,zip_derived_cl758,zip_derived_cl160,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386,zip_derived_cl761]) ).
thf('656',plain,
( ( sk_ != n11 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27092]) ).
thf(zip_derived_cl762,plain,
( ( sum @ n22 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6215,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_6216,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22874,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_cl1533,zip_derived_cl22862]) ).
thf(zip_derived_cl44_6217,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6218,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6219,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6220,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22937,plain,
( ( ( sum @ ( sum @ n10 @ n9 ) @ ( sum @ n7 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22874,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl383_6221,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_6222,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_6223,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6224,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26358,plain,
( ( n7
!= ( sum @ n22 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22937,zip_derived_cl383,zip_derived_cl293,zip_derived_cl672,zip_derived_cl386]) ).
thf(zip_derived_cl26917,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n8 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl762,zip_derived_cl26358]) ).
thf('657',plain,
( ( sk_ != n11 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26917]) ).
thf(zip_derived_cl760,plain,
( ( sum @ n22 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6225,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_6226,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22245,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_cl1533,zip_derived_cl22233]) ).
thf(zip_derived_cl44_6227,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6228,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6229,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6230,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22308,plain,
( ( ( sum @ ( sum @ n10 @ n8 ) @ ( sum @ n6 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22245,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl382_6231,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_6232,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_6233,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6234,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26127,plain,
( ( n5
!= ( sum @ n22 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22308,zip_derived_cl382,zip_derived_cl262,zip_derived_cl640,zip_derived_cl386]) ).
thf(zip_derived_cl26907,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n7 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl760,zip_derived_cl26127]) ).
thf('658',plain,
( ( sk_ != n11 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26907]) ).
thf(zip_derived_cl759_6235,plain,
( ( sum @ n22 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6236,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_6237,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26729,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl26692]) ).
thf(zip_derived_cl44_6238,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_6239,plain,
( ( sum @ n10 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6240,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_6241,plain,
( ( sum @ n21 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_6242,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6243,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6244,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6245,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26793,plain,
( ( n4
!= ( sum @ n22 @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26729,zip_derived_cl44,zip_derived_cl397,zip_derived_cl13,zip_derived_cl727,zip_derived_cl128,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl26901,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n22 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl759,zip_derived_cl26793]) ).
thf('659',plain,
( ( sk_ != n11 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26901]) ).
thf(zip_derived_cl757_6246,plain,
( ( sum @ n22 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6247,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_6248,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26454,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl26424]) ).
thf(zip_derived_cl44_6249,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_6250,plain,
( ( sum @ n10 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6251,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_6252,plain,
( ( sum @ n20 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_6253,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6254,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6255,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6256,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26517,plain,
( ( n2
!= ( sum @ n22 @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26454,zip_derived_cl44,zip_derived_cl396,zip_derived_cl13,zip_derived_cl696,zip_derived_cl96,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl26888,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n21 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl26517]) ).
thf('660',plain,
( ( sk_ != n11 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26888]) ).
thf(zip_derived_cl755,plain,
( ( sum @ n22 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6257,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_6258,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26179,plain,
( ( ( sum @ ( sum @ ( pred @ n11 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n11 ) ) )
!= ( sum @ ( sum @ ( pred @ n11 ) @ ( succ @ n11 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl26155]) ).
thf(zip_derived_cl44_6259,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_6260,plain,
( ( sum @ n10 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6261,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665_6262,plain,
( ( sum @ n19 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_6263,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6264,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6265,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6266,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26241,plain,
( ( n0
!= ( sum @ n22 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26179,zip_derived_cl44,zip_derived_cl395,zip_derived_cl13,zip_derived_cl665,zip_derived_cl64,zip_derived_cl44,zip_derived_cl13,zip_derived_cl386]) ).
thf(zip_derived_cl26877,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n20 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl26241]) ).
thf('661',plain,
( ( sk_ != n11 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26877]) ).
thf(zip_derived_cl754_6267,plain,
( ( sum @ n22 @ n8 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6268,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_6269,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20190,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_cl1533,zip_derived_cl20178]) ).
thf(zip_derived_cl44_6270,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6271,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6272,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6273,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20253,plain,
( ( ( sum @ ( sum @ n10 @ n5 ) @ ( sum @ n3 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20190,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl379_6274,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_6275,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_6276,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6277,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25799,plain,
( ( n30
!= ( sum @ n22 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20253,zip_derived_cl379,zip_derived_cl169,zip_derived_cl544,zip_derived_cl386]) ).
thf(zip_derived_cl26870,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n4 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl25799]) ).
thf('662',plain,
( ( sk_ != n11 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26870]) ).
thf(zip_derived_cl750_6278,plain,
( ( sum @ n22 @ n4 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6279,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_6280,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18783,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_cl1533,zip_derived_cl18771]) ).
thf(zip_derived_cl44_6281,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6282,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6283,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6284,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18846,plain,
( ( ( sum @ ( sum @ n10 @ n3 ) @ ( sum @ n1 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18783,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl377_6285,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_6286,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_6287,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6288,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25513,plain,
( ( n26
!= ( sum @ n22 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18846,zip_derived_cl377,zip_derived_cl107,zip_derived_cl480,zip_derived_cl386]) ).
thf(zip_derived_cl26862,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n2 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl750,zip_derived_cl25513]) ).
thf('663',plain,
( ( sk_ != n11 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26862]) ).
thf(zip_derived_cl748_6289,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1533_6290,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_6291,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18374,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_cl1533,zip_derived_cl18362]) ).
thf(zip_derived_cl44_6292,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6293,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl44_6294,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13_6295,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18437,plain,
( ( ( sum @ ( sum @ n10 @ n2 ) @ ( sum @ n0 @ n12 ) )
!= ( sum @ ( sum @ n10 @ n12 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18374,zip_derived_cl44,zip_derived_cl13,zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl376_6296,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6297,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_6298,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6299,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25300,plain,
( ( n24
!= ( sum @ n22 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18437,zip_derived_cl376,zip_derived_cl76,zip_derived_cl448,zip_derived_cl386]) ).
thf(zip_derived_cl26860,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n1 )
& ( sk_ = n11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl748,zip_derived_cl25300]) ).
thf('664',plain,
( ( sk_ != n11 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26860]) ).
thf(zip_derived_cl1548_6300,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6301,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27702,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl27632]) ).
thf(zip_derived_cl59_6302,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_6303,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_6304,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_6305,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27781,plain,
( ( ( sum @ ( sum @ n25 @ n26 ) @ ( sum @ n24 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27702,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl865_6306,plain,
( ( sum @ n25 @ n26 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl835_6307,plain,
( ( sum @ n24 @ n27 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_6308,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_6309,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_6310,plain,
( ( sum @ n21 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30261,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n25 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27781,zip_derived_cl865,zip_derived_cl835,zip_derived_cl704,zip_derived_cl866,zip_derived_cl734]) ).
thf('665',plain,
( ( sk__1 != n25 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30261]) ).
thf(zip_derived_cl1020,plain,
( ( sum @ n30 @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_6311,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6312,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27676,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl27632]) ).
thf(zip_derived_cl33_6313,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_6314,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl809,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_6315,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_6316,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27738,plain,
( ( ( sum @ ( sum @ n30 @ n26 ) @ n25 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27676,zip_derived_cl33,zip_derived_cl2,zip_derived_cl809,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29941,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1020,zip_derived_cl27738]) ).
thf(zip_derived_cl864_6317,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_6318,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_6319,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29944,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n25 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29941,zip_derived_cl864,zip_derived_cl995,zip_derived_cl83]) ).
thf('666',plain,
( ( sk_ != n0 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29944]) ).
thf(zip_derived_cl1013_6320,plain,
( ( sum @ n30 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_6321,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6322,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27691,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl27632]) ).
thf(zip_derived_cl48_6323,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524_6324,plain,
( ( sum @ n14 @ n26 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_6325,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl824,plain,
( ( sum @ n24 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_6326,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_6327,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_6328,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_6329,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27760,plain,
( ( n18
!= ( sum @ n30 @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27691,zip_derived_cl48,zip_derived_cl524,zip_derived_cl17,zip_derived_cl824,zip_derived_cl352,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29869,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n25 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1013,zip_derived_cl27760]) ).
thf('667',plain,
( ( sk__1 != n25 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29869]) ).
thf(zip_derived_cl951_6330,plain,
( ( sum @ n28 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_6331,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6332,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27690,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl27632]) ).
thf(zip_derived_cl47_6333,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493,plain,
( ( sum @ n13 @ n26 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_6334,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl823,plain,
( ( sum @ n24 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_6335,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_6336,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_6337,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_6338,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27759,plain,
( ( n16
!= ( sum @ n28 @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27690,zip_derived_cl47,zip_derived_cl493,zip_derived_cl16,zip_derived_cl823,zip_derived_cl320,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28962,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n25 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl951,zip_derived_cl27759]) ).
thf('668',plain,
( ( sk__1 != n25 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28962]) ).
thf(zip_derived_cl889_6339,plain,
( ( sum @ n26 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6340,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6341,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27689,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl27632]) ).
thf(zip_derived_cl46_6342,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_6343,plain,
( ( sum @ n12 @ n26 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6344,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl822,plain,
( ( sum @ n24 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_6345,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6346,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6347,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6348,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27758,plain,
( ( n14
!= ( sum @ n26 @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27689,zip_derived_cl46,zip_derived_cl462,zip_derived_cl15,zip_derived_cl822,zip_derived_cl288,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28223,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n25 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl889,zip_derived_cl27758]) ).
thf('669',plain,
( ( sk__1 != n25 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28223]) ).
thf(zip_derived_cl1546_6349,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6350,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27700,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl27632]) ).
thf(zip_derived_cl57_6351,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl803_6352,plain,
( ( sum @ n23 @ n26 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_6353,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl833_6354,plain,
( ( sum @ n24 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_6355,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_6356,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_6357,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_6358,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_6359,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27777,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n25 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27700,zip_derived_cl57,zip_derived_cl803,zip_derived_cl26,zip_derived_cl833,zip_derived_cl640,zip_derived_cl57,zip_derived_cl26,zip_derived_cl802,zip_derived_cl610]) ).
thf('670',plain,
( ( sk_ != n24 )
| ( sk__1 != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27777]) ).
thf(zip_derived_cl1545_6360,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6361,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27699,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl27632]) ).
thf(zip_derived_cl56_6362,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl772_6363,plain,
( ( sum @ n22 @ n26 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_6364,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832_6365,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_6366,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_6367,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_6368,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_6369,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548_6370,plain,
( ( sum @ n15 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27775,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n25 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27699,zip_derived_cl56,zip_derived_cl772,zip_derived_cl25,zip_derived_cl832,zip_derived_cl608,zip_derived_cl56,zip_derived_cl25,zip_derived_cl770,zip_derived_cl548]) ).
thf('671',plain,
( ( sk__1 != n25 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27775]) ).
thf(zip_derived_cl1544_6371,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6372,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27698,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl27632]) ).
thf(zip_derived_cl55_6373,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741,plain,
( ( sum @ n21 @ n26 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_6374,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl831_6375,plain,
( ( sum @ n24 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_6376,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_6377,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_6378,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_6379,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_6380,plain,
( ( sum @ n13 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27773,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n25 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27698,zip_derived_cl55,zip_derived_cl741,zip_derived_cl24,zip_derived_cl831,zip_derived_cl576,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl486]) ).
thf('672',plain,
( ( sk__1 != n25 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27773]) ).
thf(zip_derived_cl1543_6381,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6382,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27697,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl27632]) ).
thf(zip_derived_cl54_6383,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710_6384,plain,
( ( sum @ n20 @ n26 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6385,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl830_6386,plain,
( ( sum @ n24 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_6387,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_6388,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6389,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_6390,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_6391,plain,
( ( sum @ n11 @ n19 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27771,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n25 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27697,zip_derived_cl54,zip_derived_cl710,zip_derived_cl23,zip_derived_cl830,zip_derived_cl544,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl424]) ).
thf('673',plain,
( ( sk__1 != n25 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27771]) ).
thf(zip_derived_cl1542_6392,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6393,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27696,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl27632]) ).
thf(zip_derived_cl53_6394,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679,plain,
( ( sum @ n19 @ n26 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_6395,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl829_6396,plain,
( ( sum @ n24 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_6397,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_6398,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_6399,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_6400,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_6401,plain,
( ( sum @ n9 @ n19 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27769,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n25 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27696,zip_derived_cl53,zip_derived_cl679,zip_derived_cl22,zip_derived_cl829,zip_derived_cl512,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl362]) ).
thf('674',plain,
( ( sk__1 != n25 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27769]) ).
thf(zip_derived_cl1541_6402,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6403,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27695,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl27632]) ).
thf(zip_derived_cl52_6404,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_6405,plain,
( ( sum @ n18 @ n26 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_6406,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl828_6407,plain,
( ( sum @ n24 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_6408,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_6409,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_6410,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_6411,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_6412,plain,
( ( sum @ n7 @ n19 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27767,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n25 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27695,zip_derived_cl52,zip_derived_cl648,zip_derived_cl21,zip_derived_cl828,zip_derived_cl480,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl300]) ).
thf('675',plain,
( ( sk__1 != n25 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27767]) ).
thf(zip_derived_cl1540_6413,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6414,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27694,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl27632]) ).
thf(zip_derived_cl51_6415,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617_6416,plain,
( ( sum @ n17 @ n26 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6417,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl827_6418,plain,
( ( sum @ n24 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_6419,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_6420,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6421,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_6422,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_6423,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27765,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n25 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27694,zip_derived_cl51,zip_derived_cl617,zip_derived_cl20,zip_derived_cl827,zip_derived_cl448,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl238]) ).
thf('676',plain,
( ( sk__1 != n25 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27765]) ).
thf(zip_derived_cl1539_6424,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6425,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27693,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl27632]) ).
thf(zip_derived_cl50_6426,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586,plain,
( ( sum @ n16 @ n26 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_6427,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl826_6428,plain,
( ( sum @ n24 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_6429,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_6430,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_6431,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_6432,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_6433,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27763,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n25 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27693,zip_derived_cl50,zip_derived_cl586,zip_derived_cl19,zip_derived_cl826,zip_derived_cl416,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl176]) ).
thf('677',plain,
( ( sk__1 != n25 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27763]) ).
thf(zip_derived_cl1538_6434,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6435,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27692,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl27632]) ).
thf(zip_derived_cl49_6436,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555_6437,plain,
( ( sum @ n15 @ n26 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_6438,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl825_6439,plain,
( ( sum @ n24 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_6440,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_6441,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_6442,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_6443,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_6444,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27761,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n25 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27692,zip_derived_cl49,zip_derived_cl555,zip_derived_cl18,zip_derived_cl825,zip_derived_cl384,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl114]) ).
thf('678',plain,
( ( sk__1 != n25 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27761]) ).
thf(zip_derived_cl1534_6445,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6446,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27688,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl27632]) ).
thf(zip_derived_cl45_6447,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_6448,plain,
( ( sum @ n11 @ n26 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6449,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl821_6450,plain,
( ( sum @ n24 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_6451,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6452,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6453,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6454,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl827_6455,plain,
( ( sum @ n24 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27756,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n25 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27688,zip_derived_cl45,zip_derived_cl431,zip_derived_cl14,zip_derived_cl821,zip_derived_cl256,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418,zip_derived_cl827]) ).
thf('679',plain,
( ( sk__1 != n25 )
| ( sk_ != n12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27756]) ).
thf(zip_derived_cl1532_6456,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6457,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27686,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl27632]) ).
thf(zip_derived_cl43_6458,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_6459,plain,
( ( sum @ n9 @ n26 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_6460,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl819_6461,plain,
( ( sum @ n24 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_6462,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_6463,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_6464,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_6465,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl703_6466,plain,
( ( sum @ n20 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27752,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n25 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27686,zip_derived_cl43,zip_derived_cl369,zip_derived_cl12,zip_derived_cl819,zip_derived_cl192,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl703]) ).
thf('680',plain,
( ( sk__1 != n25 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27752]) ).
thf(zip_derived_cl1530_6467,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl27632_6468,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ n24 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n19 ) )
<= ( sk__1 = n25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl16549]) ).
thf(zip_derived_cl27684,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n26 ) @ ( sum @ n24 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n19 ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl27632]) ).
thf(zip_derived_cl41_6469,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307,plain,
( ( sum @ n7 @ n26 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_6470,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl817,plain,
( ( sum @ n24 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_6471,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_6472,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_6473,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_6474,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579_6475,plain,
( ( sum @ n16 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27748,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n25 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27684,zip_derived_cl41,zip_derived_cl307,zip_derived_cl10,zip_derived_cl817,zip_derived_cl128,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl579]) ).
thf('681',plain,
( ( sk__1 != n25 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27748]) ).
thf(zip_derived_cl1547_6476,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl6700_6477,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n26 ) @ ( sum @ ( pred @ n25 ) @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ ( sum @ ( pred @ n25 ) @ n26 ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1930,zip_derived_cl27,zip_derived_cl27]) ).
thf(zip_derived_cl6726,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n26 ) @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ ( sum @ ( pred @ n25 ) @ n26 ) ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl6700]) ).
thf(zip_derived_cl27_6478,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_6479,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6788,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n26 ) @ ( sum @ ( pred @ n25 ) @ n26 ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ n26 ) @ ( sum @ ( pred @ n25 ) @ n26 ) ) )
<= ( ( sk__1 = n25 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6726,zip_derived_cl27,zip_derived_cl27]) ).
thf('682',plain,
( ( sk__1 != n25 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6788]) ).
thf(zip_derived_cl1534_6480,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_6481,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29618,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl29595]) ).
thf(zip_derived_cl45_6482,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_6483,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6484,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6485,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6486,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6487,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl808_6488,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29682,plain,
( ( ( sum @ n12 @ ( sum @ n30 @ n13 ) )
!= n24 )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29618,zip_derived_cl45,zip_derived_cl406,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418,zip_derived_cl808]) ).
thf(zip_derived_cl1007_6489,plain,
( ( sum @ n30 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_6490,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30067,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n0 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29682,zip_derived_cl1007,zip_derived_cl448]) ).
thf('683',plain,
( ( sk_ != n12 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30067]) ).
thf(zip_derived_cl992_6491,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6492,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_6493,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25370,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl25355]) ).
thf(zip_derived_cl45_6494,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423_6495,plain,
( ( sum @ n11 @ n18 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6496,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl573_6497,plain,
( ( sum @ n16 @ n13 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6498,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6499,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6500,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25432,plain,
( ( ( sum @ n29 @ n29 )
!= ( sum @ n24 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25370,zip_derived_cl45,zip_derived_cl423,zip_derived_cl14,zip_derived_cl573,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl29533,plain,
( ( n27
!= ( sum @ n24 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl25432]) ).
thf(zip_derived_cl811_6501,plain,
( ( sum @ n24 @ n3 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29563,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n17 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29533,zip_derived_cl811]) ).
thf('684',plain,
( ( sk_ != n12 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29563]) ).
thf(zip_derived_cl1534_6502,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_6503,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29131,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl29056]) ).
thf(zip_derived_cl45_6504,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_6505,plain,
( ( sum @ n11 @ n30 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6506,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl945_6507,plain,
( ( sum @ n28 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_6508,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6509,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6510,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6511,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl835_6512,plain,
( ( sum @ n24 @ n27 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29203,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n29 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29131,zip_derived_cl45,zip_derived_cl435,zip_derived_cl14,zip_derived_cl945,zip_derived_cl384,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418,zip_derived_cl835]) ).
thf('685',plain,
( ( sk_ != n12 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29203]) ).
thf(zip_derived_cl960_6513,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6514,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_6515,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25170,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl25157]) ).
thf(zip_derived_cl45_6516,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_6517,plain,
( ( sum @ n11 @ n17 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6518,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_6519,plain,
( ( sum @ n15 @ n13 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6520,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6521,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6522,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25232,plain,
( ( ( sum @ n28 @ n28 )
!= ( sum @ n24 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25170,zip_derived_cl45,zip_derived_cl422,zip_derived_cl14,zip_derived_cl542,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl29003,plain,
( ( n25
!= ( sum @ n24 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl25232]) ).
thf(zip_derived_cl809_6523,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29029,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n16 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29003,zip_derived_cl809]) ).
thf('686',plain,
( ( sk_ != n12 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29029]) ).
thf(zip_derived_cl1534_6524,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_6525,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28759,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl28682]) ).
thf(zip_derived_cl45_6526,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_6527,plain,
( ( sum @ n11 @ n29 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6528,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl914_6529,plain,
( ( sum @ n27 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_6530,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6531,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6532,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6533,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl833_6534,plain,
( ( sum @ n24 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28830,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n28 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28759,zip_derived_cl45,zip_derived_cl434,zip_derived_cl14,zip_derived_cl914,zip_derived_cl352,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418,zip_derived_cl833]) ).
thf('687',plain,
( ( sk_ != n12 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28830]) ).
thf(zip_derived_cl928_6535,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6536,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_6537,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24951,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl24936]) ).
thf(zip_derived_cl45_6538,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_6539,plain,
( ( sum @ n11 @ n16 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6540,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl511_6541,plain,
( ( sum @ n14 @ n13 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6542,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6543,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6544,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25013,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ n24 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24951,zip_derived_cl45,zip_derived_cl421,zip_derived_cl14,zip_derived_cl511,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl28630,plain,
( ( n23
!= ( sum @ n24 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl25013]) ).
thf(zip_derived_cl838_6545,plain,
( ( sum @ n24 @ n30 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28655,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n15 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28630,zip_derived_cl838]) ).
thf('688',plain,
( ( sk_ != n12 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28655]) ).
thf(zip_derived_cl896_6546,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6547,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_6548,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24688,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl24673]) ).
thf(zip_derived_cl45_6549,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_6550,plain,
( ( sum @ n11 @ n15 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6551,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_6552,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6553,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6554,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6555,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24750,plain,
( ( ( sum @ n26 @ n26 )
!= ( sum @ n24 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24688,zip_derived_cl45,zip_derived_cl420,zip_derived_cl14,zip_derived_cl480,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl28279,plain,
( ( n21
!= ( sum @ n24 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl24750]) ).
thf(zip_derived_cl836_6556,plain,
( ( sum @ n24 @ n28 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28301,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n14 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28279,zip_derived_cl836]) ).
thf('689',plain,
( ( sk_ != n12 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28301]) ).
thf(zip_derived_cl864_6557,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6558,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_6559,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24422,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl24407]) ).
thf(zip_derived_cl45_6560,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_6561,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6562,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_6563,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6564,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6565,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6566,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24484,plain,
( ( ( sum @ n25 @ n25 )
!= ( sum @ n24 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24422,zip_derived_cl45,zip_derived_cl419,zip_derived_cl14,zip_derived_cl449,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl27925,plain,
( ( n19
!= ( sum @ n24 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl24484]) ).
thf(zip_derived_cl834_6567,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27946,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n13 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27925,zip_derived_cl834]) ).
thf('690',plain,
( ( sk_ != n12 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27946]) ).
thf(zip_derived_cl824_6568,plain,
( ( sum @ n24 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6569,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_6570,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22875,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_cl1534,zip_derived_cl22862]) ).
thf(zip_derived_cl45_6571,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6572,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6573,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6574,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22938,plain,
( ( ( sum @ ( sum @ n11 @ n9 ) @ ( sum @ n7 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22875,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl414_6575,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_6576,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6577,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26359,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n24 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22938,zip_derived_cl414,zip_derived_cl294,zip_derived_cl418]) ).
thf(zip_derived_cl27524,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl824,zip_derived_cl26359]) ).
thf(zip_derived_cl704_6578,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27525,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n8 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27524,zip_derived_cl704]) ).
thf('691',plain,
( ( sk_ != n12 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27525]) ).
thf(zip_derived_cl823_6579,plain,
( ( sum @ n24 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6580,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6581,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27028,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl26989]) ).
thf(zip_derived_cl45_6582,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_6583,plain,
( ( sum @ n11 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6584,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl759_6585,plain,
( ( sum @ n22 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_6586,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6587,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6588,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6589,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27094,plain,
( ( n8
!= ( sum @ n24 @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27028,zip_derived_cl45,zip_derived_cl429,zip_derived_cl14,zip_derived_cl759,zip_derived_cl192,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl27516,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n23 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl27094]) ).
thf('692',plain,
( ( sk_ != n12 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27516]) ).
thf(zip_derived_cl822_6590,plain,
( ( sum @ n24 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6591,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_6592,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22246,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_cl1534,zip_derived_cl22233]) ).
thf(zip_derived_cl45_6593,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6594,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6595,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6596,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22309,plain,
( ( ( sum @ ( sum @ n11 @ n8 ) @ ( sum @ n6 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22246,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl413_6597,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_6598,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6599,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26128,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n24 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22309,zip_derived_cl413,zip_derived_cl263,zip_derived_cl418]) ).
thf(zip_derived_cl27508,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl26128]) ).
thf(zip_derived_cl672_6600,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27510,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n7 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27508,zip_derived_cl672]) ).
thf('693',plain,
( ( sk_ != n12 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27510]) ).
thf(zip_derived_cl821_6601,plain,
( ( sum @ n24 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6602,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_6603,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26730,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl26692]) ).
thf(zip_derived_cl45_6604,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_6605,plain,
( ( sum @ n11 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6606,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_6607,plain,
( ( sum @ n21 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_6608,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6609,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6610,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6611,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26794,plain,
( ( n6
!= ( sum @ n24 @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26730,zip_derived_cl45,zip_derived_cl428,zip_derived_cl14,zip_derived_cl728,zip_derived_cl160,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl27503,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n22 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl821,zip_derived_cl26794]) ).
thf('694',plain,
( ( sk_ != n12 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27503]) ).
thf(zip_derived_cl819_6612,plain,
( ( sum @ n24 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6613,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_6614,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26455,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl26424]) ).
thf(zip_derived_cl45_6615,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_6616,plain,
( ( sum @ n11 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6617,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697_6618,plain,
( ( sum @ n20 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_6619,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6620,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6621,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6622,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26518,plain,
( ( n4
!= ( sum @ n24 @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26455,zip_derived_cl45,zip_derived_cl427,zip_derived_cl14,zip_derived_cl697,zip_derived_cl128,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl27496,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n21 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl819,zip_derived_cl26518]) ).
thf('695',plain,
( ( sk_ != n12 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27496]) ).
thf(zip_derived_cl817_6623,plain,
( ( sum @ n24 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6624,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_6625,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26180,plain,
( ( ( sum @ ( sum @ ( pred @ n12 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n12 ) ) )
!= ( sum @ ( sum @ ( pred @ n12 ) @ ( succ @ n12 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1534,zip_derived_cl26155]) ).
thf(zip_derived_cl45_6626,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_6627,plain,
( ( sum @ n11 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6628,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666_6629,plain,
( ( sum @ n19 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_6630,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6631,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6632,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6633,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26242,plain,
( ( n2
!= ( sum @ n24 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26180,zip_derived_cl45,zip_derived_cl426,zip_derived_cl14,zip_derived_cl666,zip_derived_cl96,zip_derived_cl45,zip_derived_cl14,zip_derived_cl418]) ).
thf(zip_derived_cl27492,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n20 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl817,zip_derived_cl26242]) ).
thf('696',plain,
( ( sk_ != n12 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27492]) ).
thf(zip_derived_cl816_6634,plain,
( ( sum @ n24 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6635,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_6636,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20191,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_cl1534,zip_derived_cl20178]) ).
thf(zip_derived_cl45_6637,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6638,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6639,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6640,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20254,plain,
( ( ( sum @ ( sum @ n11 @ n5 ) @ ( sum @ n3 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20191,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl410_6641,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_6642,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_6643,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6644,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25800,plain,
( ( n1
!= ( sum @ n24 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20254,zip_derived_cl410,zip_derived_cl170,zip_derived_cl576,zip_derived_cl418]) ).
thf(zip_derived_cl27490,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n4 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl816,zip_derived_cl25800]) ).
thf('697',plain,
( ( sk_ != n12 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27490]) ).
thf(zip_derived_cl812_6645,plain,
( ( sum @ n24 @ n4 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6646,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_6647,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18784,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_cl1534,zip_derived_cl18771]) ).
thf(zip_derived_cl45_6648,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6649,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6650,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6651,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18847,plain,
( ( ( sum @ ( sum @ n11 @ n3 ) @ ( sum @ n1 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18784,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl408_6652,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_6653,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_6654,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6655,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25514,plain,
( ( n28
!= ( sum @ n24 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18847,zip_derived_cl408,zip_derived_cl108,zip_derived_cl512,zip_derived_cl418]) ).
thf(zip_derived_cl27484,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n2 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl812,zip_derived_cl25514]) ).
thf('698',plain,
( ( sk_ != n12 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27484]) ).
thf(zip_derived_cl810_6656,plain,
( ( sum @ n24 @ n2 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1534_6657,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_6658,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18375,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_cl1534,zip_derived_cl18362]) ).
thf(zip_derived_cl45_6659,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6660,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl45_6661,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14_6662,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18438,plain,
( ( ( sum @ ( sum @ n11 @ n2 ) @ ( sum @ n0 @ n13 ) )
!= ( sum @ ( sum @ n11 @ n13 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18375,zip_derived_cl45,zip_derived_cl14,zip_derived_cl45,zip_derived_cl14]) ).
thf(zip_derived_cl407_6663,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6664,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_6665,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_6666,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25301,plain,
( ( n26
!= ( sum @ n24 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18438,zip_derived_cl407,zip_derived_cl77,zip_derived_cl480,zip_derived_cl418]) ).
thf(zip_derived_cl27482,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n1 )
& ( sk_ = n12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl810,zip_derived_cl25301]) ).
thf('699',plain,
( ( sk_ != n12 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27482]) ).
thf(zip_derived_cl1548_6667,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6668,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27042,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl26989]) ).
thf(zip_derived_cl59_6669,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_6670,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_6671,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_6672,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27116,plain,
( ( ( sum @ ( sum @ n25 @ n24 ) @ ( sum @ n22 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27042,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl863_6673,plain,
( ( sum @ n25 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl773_6674,plain,
( ( sum @ n22 @ n27 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_6675,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_6676,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730,plain,
( ( sum @ n21 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30217,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n23 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27116,zip_derived_cl863,zip_derived_cl773,zip_derived_cl640,zip_derived_cl866,zip_derived_cl730]) ).
thf('700',plain,
( ( sk__1 != n23 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30217]) ).
thf(zip_derived_cl1547_6677,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6678,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27041,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl26989]) ).
thf(zip_derived_cl58_6679,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_6680,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_6681,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_6682,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27115,plain,
( ( ( sum @ ( sum @ n24 @ n24 ) @ ( sum @ n22 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27041,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl832_6683,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl772_6684,plain,
( ( sum @ n22 @ n26 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_6685,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_6686,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668,plain,
( ( sum @ n19 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30215,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n23 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27115,zip_derived_cl832,zip_derived_cl772,zip_derived_cl608,zip_derived_cl834,zip_derived_cl668]) ).
thf('701',plain,
( ( sk__1 != n23 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30215]) ).
thf(zip_derived_cl1546_6687,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6688,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27040,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl26989]) ).
thf(zip_derived_cl57_6689,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_6690,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_6691,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_6692,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27114,plain,
( ( ( sum @ ( sum @ n23 @ n24 ) @ ( sum @ n22 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27040,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl801_6693,plain,
( ( sum @ n23 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl771_6694,plain,
( ( sum @ n22 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_6695,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_6696,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl606_6697,plain,
( ( sum @ n17 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30213,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n23 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27114,zip_derived_cl801,zip_derived_cl771,zip_derived_cl576,zip_derived_cl802,zip_derived_cl606]) ).
thf('702',plain,
( ( sk_ != n24 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30213]) ).
thf(zip_derived_cl1018_6698,plain,
( ( sum @ n30 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_6699,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6700,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27016,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl26989]) ).
thf(zip_derived_cl33_6701,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_6702,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747_6703,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_6704,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_6705,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27078,plain,
( ( ( sum @ ( sum @ n30 @ n24 ) @ n23 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27016,zip_derived_cl33,zip_derived_cl2,zip_derived_cl747,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29920,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1018,zip_derived_cl27078]) ).
thf(zip_derived_cl800_6706,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_6707,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6708,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29923,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n23 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29920,zip_derived_cl800,zip_derived_cl995,zip_derived_cl79]) ).
thf('703',plain,
( ( sk_ != n0 )
| ( sk__1 != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29923]) ).
thf(zip_derived_cl1009,plain,
( ( sum @ n30 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_6709,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6710,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27031,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl26989]) ).
thf(zip_derived_cl48_6711,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_6712,plain,
( ( sum @ n14 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_6713,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl762_6714,plain,
( ( sum @ n22 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_6715,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_6716,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_6717,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_6718,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27097,plain,
( ( n14
!= ( sum @ n30 @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27031,zip_derived_cl48,zip_derived_cl522,zip_derived_cl17,zip_derived_cl762,zip_derived_cl288,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29827,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n23 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1009,zip_derived_cl27097]) ).
thf('704',plain,
( ( sk__1 != n23 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29827]) ).
thf(zip_derived_cl947_6719,plain,
( ( sum @ n28 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_6720,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6721,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27030,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl26989]) ).
thf(zip_derived_cl47_6722,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_6723,plain,
( ( sum @ n13 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_6724,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl761_6725,plain,
( ( sum @ n22 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_6726,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_6727,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_6728,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_6729,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27096,plain,
( ( n12
!= ( sum @ n28 @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27030,zip_derived_cl47,zip_derived_cl491,zip_derived_cl16,zip_derived_cl761,zip_derived_cl256,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28952,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n23 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl947,zip_derived_cl27096]) ).
thf('705',plain,
( ( sk__1 != n23 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28952]) ).
thf(zip_derived_cl885_6730,plain,
( ( sum @ n26 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6731,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6732,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27029,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl26989]) ).
thf(zip_derived_cl46_6733,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460_6734,plain,
( ( sum @ n12 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6735,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl760_6736,plain,
( ( sum @ n22 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_6737,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6738,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6739,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6740,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27095,plain,
( ( n10
!= ( sum @ n26 @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27029,zip_derived_cl46,zip_derived_cl460,zip_derived_cl15,zip_derived_cl760,zip_derived_cl224,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28213,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n23 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl27095]) ).
thf('706',plain,
( ( sk__1 != n23 )
| ( sk_ != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28213]) ).
thf(zip_derived_cl1544_6741,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6742,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27038,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl26989]) ).
thf(zip_derived_cl55_6743,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl739_6744,plain,
( ( sum @ n21 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_6745,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl769_6746,plain,
( ( sum @ n22 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_6747,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_6748,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_6749,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_6750,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_6751,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27110,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n23 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27038,zip_derived_cl55,zip_derived_cl739,zip_derived_cl24,zip_derived_cl769,zip_derived_cl512,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl482]) ).
thf('707',plain,
( ( sk__1 != n23 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27110]) ).
thf(zip_derived_cl1543_6752,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6753,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27037,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl26989]) ).
thf(zip_derived_cl54_6754,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl708_6755,plain,
( ( sum @ n20 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6756,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_6757,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_6758,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_6759,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_6760,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_6761,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_6762,plain,
( ( sum @ n11 @ n15 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27108,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n23 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27037,zip_derived_cl54,zip_derived_cl708,zip_derived_cl23,zip_derived_cl768,zip_derived_cl480,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl420]) ).
thf('708',plain,
( ( sk__1 != n23 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27108]) ).
thf(zip_derived_cl1542_6763,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6764,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27036,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl26989]) ).
thf(zip_derived_cl53_6765,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_6766,plain,
( ( sum @ n19 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_6767,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl767_6768,plain,
( ( sum @ n22 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_6769,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_6770,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_6771,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_6772,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_6773,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27106,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n23 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27036,zip_derived_cl53,zip_derived_cl677,zip_derived_cl22,zip_derived_cl767,zip_derived_cl448,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl358]) ).
thf('709',plain,
( ( sk__1 != n23 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27106]) ).
thf(zip_derived_cl1541_6774,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6775,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27035,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl26989]) ).
thf(zip_derived_cl52_6776,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_6777,plain,
( ( sum @ n18 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_6778,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl766_6779,plain,
( ( sum @ n22 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_6780,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_6781,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_6782,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_6783,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27104,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n23 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27035,zip_derived_cl52,zip_derived_cl646,zip_derived_cl21,zip_derived_cl766,zip_derived_cl416,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl296]) ).
thf('710',plain,
( ( sk__1 != n23 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27104]) ).
thf(zip_derived_cl1540_6784,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6785,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27034,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl26989]) ).
thf(zip_derived_cl51_6786,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615_6787,plain,
( ( sum @ n17 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6788,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl765_6789,plain,
( ( sum @ n22 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_6790,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_6791,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_6792,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_6793,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_6794,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27102,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n23 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27034,zip_derived_cl51,zip_derived_cl615,zip_derived_cl20,zip_derived_cl765,zip_derived_cl384,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl234]) ).
thf('711',plain,
( ( sk__1 != n23 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27102]) ).
thf(zip_derived_cl1539_6795,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6796,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27033,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl26989]) ).
thf(zip_derived_cl50_6797,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584_6798,plain,
( ( sum @ n16 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_6799,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl764_6800,plain,
( ( sum @ n22 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_6801,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_6802,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_6803,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_6804,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_6805,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27100,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n23 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27033,zip_derived_cl50,zip_derived_cl584,zip_derived_cl19,zip_derived_cl764,zip_derived_cl352,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl172]) ).
thf('712',plain,
( ( sk__1 != n23 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27100]) ).
thf(zip_derived_cl1538_6806,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6807,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27032,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl26989]) ).
thf(zip_derived_cl49_6808,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553_6809,plain,
( ( sum @ n15 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_6810,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl763_6811,plain,
( ( sum @ n22 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_6812,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_6813,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_6814,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_6815,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_6816,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27098,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n23 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27032,zip_derived_cl49,zip_derived_cl553,zip_derived_cl18,zip_derived_cl763,zip_derived_cl320,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl110]) ).
thf('713',plain,
( ( sk__1 != n23 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27098]) ).
thf(zip_derived_cl1532_6817,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6818,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27026,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl26989]) ).
thf(zip_derived_cl43_6819,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_6820,plain,
( ( sum @ n9 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_6821,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl757_6822,plain,
( ( sum @ n22 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_6823,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_6824,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_6825,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_6826,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl699,plain,
( ( sum @ n20 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27090,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n23 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27026,zip_derived_cl43,zip_derived_cl367,zip_derived_cl12,zip_derived_cl757,zip_derived_cl128,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl699]) ).
thf('714',plain,
( ( sk__1 != n23 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27090]) ).
thf(zip_derived_cl1530_6827,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26989_6828,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n24 ) @ ( sum @ n22 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n15 ) )
<= ( sk__1 = n23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl15778]) ).
thf(zip_derived_cl27024,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n24 ) @ ( sum @ n22 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n15 ) )
<= ( ( sk__1 = n23 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl26989]) ).
thf(zip_derived_cl41_6829,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305_6830,plain,
( ( sum @ n7 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_6831,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl755_6832,plain,
( ( sum @ n22 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_6833,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_6834,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_6835,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_6836,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575,plain,
( ( sum @ n16 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27086,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n23 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27024,zip_derived_cl41,zip_derived_cl305,zip_derived_cl10,zip_derived_cl755,zip_derived_cl64,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl575]) ).
thf('715',plain,
( ( sk__1 != n23 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27086]) ).
thf(zip_derived_cl1545_6837,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl6442_6838,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_cl1879,zip_derived_cl25,zip_derived_cl25]) ).
thf(zip_derived_cl6466,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_cl1545,zip_derived_cl6442]) ).
thf(zip_derived_cl25_6839,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_6840,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6528,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_cl6466,zip_derived_cl25,zip_derived_cl25]) ).
thf('716',plain,
( ( sk__1 != n23 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6528]) ).
thf(zip_derived_cl1535_6841,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_6842,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29619,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl29595]) ).
thf(zip_derived_cl46_6843,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_6844,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6845,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6846,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6847,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6848,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl870_6849,plain,
( ( sum @ n26 @ n0 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29683,plain,
( ( ( sum @ n13 @ ( sum @ n30 @ n14 ) )
!= n26 )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29619,zip_derived_cl46,zip_derived_cl437,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450,zip_derived_cl870]) ).
thf(zip_derived_cl1008,plain,
( ( sum @ n30 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_6850,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30069,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n0 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29683,zip_derived_cl1008,zip_derived_cl480]) ).
thf('717',plain,
( ( sk_ != n13 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30069]) ).
thf(zip_derived_cl1024_6851,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6852,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_6853,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25371,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl25355]) ).
thf(zip_derived_cl46_6854,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_6855,plain,
( ( sum @ n12 @ n18 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6856,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574,plain,
( ( sum @ n16 @ n14 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6857,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6858,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6859,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25433,plain,
( ( ( sum @ n30 @ n30 )
!= ( sum @ n26 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25371,zip_derived_cl46,zip_derived_cl454,zip_derived_cl15,zip_derived_cl574,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl29983,plain,
( ( n29
!= ( sum @ n26 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl25433]) ).
thf(zip_derived_cl873_6860,plain,
( ( sum @ n26 @ n3 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30013,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n17 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29983,zip_derived_cl873]) ).
thf('718',plain,
( ( sk_ != n13 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30013]) ).
thf(zip_derived_cl992_6861,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6862,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_6863,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25171,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl25157]) ).
thf(zip_derived_cl46_6864,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_6865,plain,
( ( sum @ n12 @ n17 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6866,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl543,plain,
( ( sum @ n15 @ n14 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6867,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6868,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6869,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25233,plain,
( ( ( sum @ n29 @ n29 )
!= ( sum @ n26 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25171,zip_derived_cl46,zip_derived_cl453,zip_derived_cl15,zip_derived_cl543,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl29532,plain,
( ( n27
!= ( sum @ n26 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl25233]) ).
thf(zip_derived_cl871_6870,plain,
( ( sum @ n26 @ n1 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29561,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n16 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29532,zip_derived_cl871]) ).
thf('719',plain,
( ( sk_ != n13 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29561]) ).
thf(zip_derived_cl1535_6871,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_6872,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29132,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl29056]) ).
thf(zip_derived_cl46_6873,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_6874,plain,
( ( sum @ n12 @ n30 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6875,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl946_6876,plain,
( ( sum @ n28 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_6877,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6878,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6879,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6880,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl897_6881,plain,
( ( sum @ n26 @ n27 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29205,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n29 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29132,zip_derived_cl46,zip_derived_cl466,zip_derived_cl15,zip_derived_cl946,zip_derived_cl416,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450,zip_derived_cl897]) ).
thf('720',plain,
( ( sk_ != n13 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29205]) ).
thf(zip_derived_cl960_6882,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6883,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_6884,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24952,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl24936]) ).
thf(zip_derived_cl46_6885,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_6886,plain,
( ( sum @ n12 @ n16 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6887,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_6888,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6889,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6890,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6891,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25014,plain,
( ( ( sum @ n28 @ n28 )
!= ( sum @ n26 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24952,zip_derived_cl46,zip_derived_cl452,zip_derived_cl15,zip_derived_cl512,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl29002,plain,
( ( n25
!= ( sum @ n26 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl25014]) ).
thf(zip_derived_cl900_6892,plain,
( ( sum @ n26 @ n30 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29027,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n15 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29002,zip_derived_cl900]) ).
thf('721',plain,
( ( sk_ != n13 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29027]) ).
thf(zip_derived_cl1535_6893,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_6894,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28760,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl28682]) ).
thf(zip_derived_cl46_6895,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_6896,plain,
( ( sum @ n12 @ n29 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6897,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl915_6898,plain,
( ( sum @ n27 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_6899,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6900,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6901,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6902,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl895_6903,plain,
( ( sum @ n26 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28832,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n28 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28760,zip_derived_cl46,zip_derived_cl465,zip_derived_cl15,zip_derived_cl915,zip_derived_cl384,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450,zip_derived_cl895]) ).
thf('722',plain,
( ( sk_ != n13 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28832]) ).
thf(zip_derived_cl928_6904,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6905,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_6906,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24689,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl24673]) ).
thf(zip_derived_cl46_6907,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_6908,plain,
( ( sum @ n12 @ n15 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6909,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481,plain,
( ( sum @ n13 @ n14 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6910,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6911,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6912,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24751,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ n26 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24689,zip_derived_cl46,zip_derived_cl451,zip_derived_cl15,zip_derived_cl481,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28629,plain,
( ( n23
!= ( sum @ n26 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl24751]) ).
thf(zip_derived_cl898_6913,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28653,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n14 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28629,zip_derived_cl898]) ).
thf('723',plain,
( ( sk_ != n13 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28653]) ).
thf(zip_derived_cl886_6914,plain,
( ( sum @ n26 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6915,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_6916,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22876,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_cl1535,zip_derived_cl22862]) ).
thf(zip_derived_cl46_6917,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6918,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6919,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6920,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22939,plain,
( ( ( sum @ ( sum @ n12 @ n9 ) @ ( sum @ n7 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22876,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl445_6921,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6922,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26360,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n26 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22939,zip_derived_cl445,zip_derived_cl295,zip_derived_cl450]) ).
thf(zip_derived_cl28215,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl886,zip_derived_cl26360]) ).
thf(zip_derived_cl736_6923,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28216,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n8 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28215,zip_derived_cl736]) ).
thf('724',plain,
( ( sk_ != n13 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28216]) ).
thf(zip_derived_cl884_6924,plain,
( ( sum @ n26 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6925,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_6926,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22247,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_cl1535,zip_derived_cl22233]) ).
thf(zip_derived_cl46_6927,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6928,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6929,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6930,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22310,plain,
( ( ( sum @ ( sum @ n12 @ n8 ) @ ( sum @ n6 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22247,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl444_6931,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_6932,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6933,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26304,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ n26 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22310,zip_derived_cl444,zip_derived_cl264,zip_derived_cl450]) ).
thf(zip_derived_cl28210,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl884,zip_derived_cl26304]) ).
thf(zip_derived_cl704_6934,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28211,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n7 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28210,zip_derived_cl704]) ).
thf('725',plain,
( ( sk_ != n13 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28211]) ).
thf(zip_derived_cl883_6935,plain,
( ( sum @ n26 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6936,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_6937,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26731,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl26692]) ).
thf(zip_derived_cl46_6938,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_6939,plain,
( ( sum @ n12 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6940,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729,plain,
( ( sum @ n21 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_6941,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6942,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6943,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6944,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26795,plain,
( ( n8
!= ( sum @ n26 @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26731,zip_derived_cl46,zip_derived_cl459,zip_derived_cl15,zip_derived_cl729,zip_derived_cl192,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28208,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n22 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl883,zip_derived_cl26795]) ).
thf('726',plain,
( ( sk_ != n13 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28208]) ).
thf(zip_derived_cl881_6945,plain,
( ( sum @ n26 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6946,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_6947,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26456,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl26424]) ).
thf(zip_derived_cl46_6948,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458_6949,plain,
( ( sum @ n12 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6950,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698_6951,plain,
( ( sum @ n20 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_6952,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6953,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6954,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6955,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26519,plain,
( ( n6
!= ( sum @ n26 @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26456,zip_derived_cl46,zip_derived_cl458,zip_derived_cl15,zip_derived_cl698,zip_derived_cl160,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28203,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n21 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl881,zip_derived_cl26519]) ).
thf('727',plain,
( ( sk_ != n13 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28203]) ).
thf(zip_derived_cl879_6956,plain,
( ( sum @ n26 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6957,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_6958,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26181,plain,
( ( ( sum @ ( sum @ ( pred @ n13 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n13 ) ) )
!= ( sum @ ( sum @ ( pred @ n13 ) @ ( succ @ n13 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl26155]) ).
thf(zip_derived_cl46_6959,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_6960,plain,
( ( sum @ n12 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6961,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667,plain,
( ( sum @ n19 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_6962,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6963,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6964,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6965,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26243,plain,
( ( n4
!= ( sum @ n26 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26181,zip_derived_cl46,zip_derived_cl457,zip_derived_cl15,zip_derived_cl667,zip_derived_cl128,zip_derived_cl46,zip_derived_cl15,zip_derived_cl450]) ).
thf(zip_derived_cl28196,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n20 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl879,zip_derived_cl26243]) ).
thf('728',plain,
( ( sk_ != n13 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28196]) ).
thf(zip_derived_cl878_6966,plain,
( ( sum @ n26 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6967,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_6968,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20192,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_cl1535,zip_derived_cl20178]) ).
thf(zip_derived_cl46_6969,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6970,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6971,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6972,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20255,plain,
( ( ( sum @ ( sum @ n12 @ n5 ) @ ( sum @ n3 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20192,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl441_6973,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_6974,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_6975,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6976,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25801,plain,
( ( n3
!= ( sum @ n26 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20255,zip_derived_cl441,zip_derived_cl171,zip_derived_cl608,zip_derived_cl450]) ).
thf(zip_derived_cl28194,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n4 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl878,zip_derived_cl25801]) ).
thf('729',plain,
( ( sk_ != n13 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28194]) ).
thf(zip_derived_cl874_6977,plain,
( ( sum @ n26 @ n4 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6978,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_6979,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18785,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_cl1535,zip_derived_cl18771]) ).
thf(zip_derived_cl46_6980,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6981,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6982,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6983,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18848,plain,
( ( ( sum @ ( sum @ n12 @ n3 ) @ ( sum @ n1 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18785,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl439_6984,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_6985,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_6986,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6987,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25515,plain,
( ( n30
!= ( sum @ n26 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18848,zip_derived_cl439,zip_derived_cl109,zip_derived_cl544,zip_derived_cl450]) ).
thf(zip_derived_cl28186,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n2 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl874,zip_derived_cl25515]) ).
thf('730',plain,
( ( sk_ != n13 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28186]) ).
thf(zip_derived_cl872_6988,plain,
( ( sum @ n26 @ n2 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_6989,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_6990,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18376,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_cl1535,zip_derived_cl18362]) ).
thf(zip_derived_cl46_6991,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6992,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl46_6993,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_6994,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18439,plain,
( ( ( sum @ ( sum @ n12 @ n2 ) @ ( sum @ n0 @ n14 ) )
!= ( sum @ ( sum @ n12 @ n14 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18376,zip_derived_cl46,zip_derived_cl15,zip_derived_cl46,zip_derived_cl15]) ).
thf(zip_derived_cl438_6995,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6996,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_6997,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_6998,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25302,plain,
( ( n28
!= ( sum @ n26 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18439,zip_derived_cl438,zip_derived_cl78,zip_derived_cl512,zip_derived_cl450]) ).
thf(zip_derived_cl28184,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n1 )
& ( sk_ = n13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl872,zip_derived_cl25302]) ).
thf('731',plain,
( ( sk_ != n13 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28184]) ).
thf(zip_derived_cl1535_6999,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl5107_7000,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_cl1664,zip_derived_cl15,zip_derived_cl15]) ).
thf(zip_derived_cl5121,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_cl1535,zip_derived_cl5107]) ).
thf(zip_derived_cl15_7001,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15_7002,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5183,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_cl5121,zip_derived_cl15,zip_derived_cl15]) ).
thf('732',plain,
( ( sk_ != n13 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5183]) ).
thf(zip_derived_cl1548_7003,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7004,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29632,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl29595]) ).
thf(zip_derived_cl59_7005,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl840_7006,plain,
( ( sum @ n25 @ n1 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_7007,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_7008,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_7009,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_7010,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715_7011,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29696,plain,
( ( ( sum @ n26 @ ( sum @ n30 @ n27 ) )
!= n21 )
<= ( ( sk__1 = n0 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29632,zip_derived_cl59,zip_derived_cl840,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28,zip_derived_cl866,zip_derived_cl715]) ).
thf(zip_derived_cl1021_7012,plain,
( ( sum @ n30 @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl896_7013,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30099,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n0 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29696,zip_derived_cl1021,zip_derived_cl896]) ).
thf('733',plain,
( ( sk__1 != n0 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30099]) ).
thf(zip_derived_cl1547_7014,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7015,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29631,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl29595]) ).
thf(zip_derived_cl58_7016,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl809_7017,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_7018,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_7019,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_7020,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_7021,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653_7022,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29695,plain,
( ( ( sum @ n25 @ ( sum @ n30 @ n26 ) )
!= n19 )
<= ( ( sk__1 = n0 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29631,zip_derived_cl58,zip_derived_cl809,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27,zip_derived_cl834,zip_derived_cl653]) ).
thf(zip_derived_cl1020_7023,plain,
( ( sum @ n30 @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl864_7024,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30097,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n0 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29695,zip_derived_cl1020,zip_derived_cl864]) ).
thf('734',plain,
( ( sk__1 != n0 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30097]) ).
thf(zip_derived_cl1546_7025,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7026,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29630,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl29595]) ).
thf(zip_derived_cl57_7027,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl778_7028,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_7029,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_7030,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_7031,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_7032,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591_7033,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29694,plain,
( ( ( sum @ n24 @ ( sum @ n30 @ n25 ) )
!= n17 )
<= ( ( sk__1 = n0 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29630,zip_derived_cl57,zip_derived_cl778,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26,zip_derived_cl802,zip_derived_cl591]) ).
thf(zip_derived_cl1019_7034,plain,
( ( sum @ n30 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832_7035,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30093,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n0 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29694,zip_derived_cl1019,zip_derived_cl832]) ).
thf('735',plain,
( ( sk_ != n24 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30093]) ).
thf(zip_derived_cl1545_7036,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7037,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29629,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl29595]) ).
thf(zip_derived_cl56_7038,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747_7039,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_7040,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_7041,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_7042,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_7043,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529_7044,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29693,plain,
( ( ( sum @ n23 @ ( sum @ n30 @ n24 ) )
!= n15 )
<= ( ( sk__1 = n0 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29629,zip_derived_cl56,zip_derived_cl747,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25,zip_derived_cl770,zip_derived_cl529]) ).
thf(zip_derived_cl1018_7045,plain,
( ( sum @ n30 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_7046,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30091,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n0 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29693,zip_derived_cl1018,zip_derived_cl800]) ).
thf('736',plain,
( ( sk__1 != n0 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30091]) ).
thf(zip_derived_cl1544_7047,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7048,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29628,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl29595]) ).
thf(zip_derived_cl55_7049,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716_7050,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_7051,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_7052,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_7053,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_7054,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_7055,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29692,plain,
( ( ( sum @ n22 @ ( sum @ n30 @ n23 ) )
!= n13 )
<= ( ( sk__1 = n0 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29628,zip_derived_cl55,zip_derived_cl716,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl467]) ).
thf(zip_derived_cl1017_7056,plain,
( ( sum @ n30 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_7057,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30089,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n0 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29692,zip_derived_cl1017,zip_derived_cl768]) ).
thf('737',plain,
( ( sk__1 != n0 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30089]) ).
thf(zip_derived_cl1543_7058,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7059,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29627,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl29595]) ).
thf(zip_derived_cl54_7060,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl685_7061,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_7062,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_7063,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_7064,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_7065,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_7066,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29691,plain,
( ( ( sum @ n21 @ ( sum @ n30 @ n22 ) )
!= n11 )
<= ( ( sk__1 = n0 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29627,zip_derived_cl54,zip_derived_cl685,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl405]) ).
thf(zip_derived_cl1016_7067,plain,
( ( sum @ n30 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_7068,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30087,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n0 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29691,zip_derived_cl1016,zip_derived_cl736]) ).
thf('738',plain,
( ( sk__1 != n0 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30087]) ).
thf(zip_derived_cl1542_7069,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7070,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29626,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl29595]) ).
thf(zip_derived_cl53_7071,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654_7072,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_7073,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_7074,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_7075,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_7076,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_7077,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29690,plain,
( ( ( sum @ n20 @ ( sum @ n30 @ n21 ) )
!= n9 )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29626,zip_derived_cl53,zip_derived_cl654,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl343]) ).
thf(zip_derived_cl1015_7078,plain,
( ( sum @ n30 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_7079,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30085,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n0 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29690,zip_derived_cl1015,zip_derived_cl704]) ).
thf('739',plain,
( ( sk__1 != n0 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30085]) ).
thf(zip_derived_cl1541_7080,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7081,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29625,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl29595]) ).
thf(zip_derived_cl52_7082,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_7083,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_7084,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_7085,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_7086,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_7087,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_7088,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29689,plain,
( ( ( sum @ n19 @ ( sum @ n30 @ n20 ) )
!= n7 )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29625,zip_derived_cl52,zip_derived_cl623,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl281]) ).
thf(zip_derived_cl1014_7089,plain,
( ( sum @ n30 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_7090,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30083,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n0 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29689,zip_derived_cl1014,zip_derived_cl672]) ).
thf('740',plain,
( ( sk__1 != n0 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30083]) ).
thf(zip_derived_cl1540_7091,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7092,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29624,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl29595]) ).
thf(zip_derived_cl51_7093,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_7094,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7095,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7096,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7097,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7098,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_7099,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29688,plain,
( ( ( sum @ n18 @ ( sum @ n30 @ n19 ) )
!= n5 )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29624,zip_derived_cl51,zip_derived_cl592,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl219]) ).
thf(zip_derived_cl1013_7100,plain,
( ( sum @ n30 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_7101,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30081,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n0 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29688,zip_derived_cl1013,zip_derived_cl640]) ).
thf('741',plain,
( ( sk__1 != n0 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30081]) ).
thf(zip_derived_cl1539_7102,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7103,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29623,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl29595]) ).
thf(zip_derived_cl50_7104,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561_7105,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7106,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7107,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7108,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7109,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_7110,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29687,plain,
( ( ( sum @ n17 @ ( sum @ n30 @ n18 ) )
!= n3 )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29623,zip_derived_cl50,zip_derived_cl561,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl157]) ).
thf(zip_derived_cl1012_7111,plain,
( ( sum @ n30 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_7112,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30079,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n0 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29687,zip_derived_cl1012,zip_derived_cl608]) ).
thf('742',plain,
( ( sk__1 != n0 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30079]) ).
thf(zip_derived_cl1538_7113,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7114,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29622,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl29595]) ).
thf(zip_derived_cl49_7115,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_7116,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_7117,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_7118,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_7119,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_7120,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_7121,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29686,plain,
( ( ( sum @ n16 @ ( sum @ n30 @ n17 ) )
!= n1 )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29622,zip_derived_cl49,zip_derived_cl530,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl95]) ).
thf(zip_derived_cl1011_7122,plain,
( ( sum @ n30 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_7123,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30077,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n0 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29686,zip_derived_cl1011,zip_derived_cl576]) ).
thf('743',plain,
( ( sk__1 != n0 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30077]) ).
thf(zip_derived_cl1537_7124,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7125,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29621,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl29595]) ).
thf(zip_derived_cl48_7126,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_7127,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_7128,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_7129,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_7130,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_7131,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl994_7132,plain,
( ( sum @ n30 @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29685,plain,
( ( ( sum @ n15 @ ( sum @ n30 @ n16 ) )
!= n30 )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29621,zip_derived_cl48,zip_derived_cl499,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514,zip_derived_cl994]) ).
thf(zip_derived_cl1010,plain,
( ( sum @ n30 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_7133,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30075,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n0 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29685,zip_derived_cl1010,zip_derived_cl544]) ).
thf('744',plain,
( ( sk__1 != n0 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30075]) ).
thf(zip_derived_cl1536_7134,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7135,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29620,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl29595]) ).
thf(zip_derived_cl47_7136,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_7137,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7138,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7139,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7140,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7141,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl932_7142,plain,
( ( sum @ n28 @ n0 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29684,plain,
( ( ( sum @ n14 @ ( sum @ n30 @ n15 ) )
!= n28 )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29620,zip_derived_cl47,zip_derived_cl468,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482,zip_derived_cl932]) ).
thf(zip_derived_cl1009_7143,plain,
( ( sum @ n30 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_7144,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30071,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n0 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29684,zip_derived_cl1009,zip_derived_cl512]) ).
thf('745',plain,
( ( sk__1 != n0 )
| ( sk_ != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30071]) ).
thf(zip_derived_cl1532_7145,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7146,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29616,plain,
( ( ( sum @ ( sum @ ( pred @ n10 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n10 ) ) )
!= ( sum @ ( sum @ ( pred @ n10 ) @ ( succ @ n10 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1532,zip_derived_cl29595]) ).
thf(zip_derived_cl43_7147,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_7148,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_7149,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_7150,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_7151,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_7152,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684_7153,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29680,plain,
( ( ( sum @ n10 @ ( sum @ n30 @ n11 ) )
!= n20 )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29616,zip_derived_cl43,zip_derived_cl344,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12,zip_derived_cl354,zip_derived_cl684]) ).
thf(zip_derived_cl1005_7154,plain,
( ( sum @ n30 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_7155,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30063,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n0 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29680,zip_derived_cl1005,zip_derived_cl384]) ).
thf('746',plain,
( ( sk__1 != n0 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30063]) ).
thf(zip_derived_cl1530_7156,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29595_7157,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n1 ) @ ( sum @ n30 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n0 ) )
<= ( sk__1 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl995,zip_derived_cl6828]) ).
thf(zip_derived_cl29614,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n1 ) @ ( sum @ n30 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n0 ) )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl29595]) ).
thf(zip_derived_cl41_7158,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_7159,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_7160,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_7161,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_7162,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_7163,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560_7164,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29678,plain,
( ( ( sum @ n8 @ ( sum @ n30 @ n9 ) )
!= n16 )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29614,zip_derived_cl41,zip_derived_cl282,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl560]) ).
thf(zip_derived_cl1003,plain,
( ( sum @ n30 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_7165,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30059,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n0 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29678,zip_derived_cl1003,zip_derived_cl320]) ).
thf('747',plain,
( ( sk__1 != n0 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30059]) ).
thf(zip_derived_cl1491_7166,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1522_7167,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_7168,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_cl2119,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_cl1522,zip_derived_cl0]) ).
thf(zip_derived_cl2_7169,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_7170,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2121,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_cl2119,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl2694,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_cl1491,zip_derived_cl2121]) ).
thf(zip_derived_cl2_7171,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_7172,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2756,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_cl2694,zip_derived_cl2,zip_derived_cl2]) ).
thf('748',plain,
( ( sk_ != n0 )
| ( sk__1 != n0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2756]) ).
thf(zip_derived_cl1024_7173,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7174,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_7175,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25172,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl25157]) ).
thf(zip_derived_cl47_7176,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_7177,plain,
( ( sum @ n13 @ n17 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7178,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_7179,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7180,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7181,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7182,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25234,plain,
( ( ( sum @ n30 @ n30 )
!= ( sum @ n28 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25172,zip_derived_cl47,zip_derived_cl484,zip_derived_cl16,zip_derived_cl544,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl29982,plain,
( ( n29
!= ( sum @ n28 @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl25234]) ).
thf(zip_derived_cl933_7183,plain,
( ( sum @ n28 @ n1 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30011,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n16 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29982,zip_derived_cl933]) ).
thf('749',plain,
( ( sk_ != n14 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30011]) ).
thf(zip_derived_cl992_7184,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7185,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_7186,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24953,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl24936]) ).
thf(zip_derived_cl47_7187,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483,plain,
( ( sum @ n13 @ n16 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7188,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_7189,plain,
( ( sum @ n14 @ n15 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7190,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7191,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7192,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25015,plain,
( ( ( sum @ n29 @ n29 )
!= ( sum @ n28 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24953,zip_derived_cl47,zip_derived_cl483,zip_derived_cl16,zip_derived_cl513,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl29531,plain,
( ( n27
!= ( sum @ n28 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl25015]) ).
thf(zip_derived_cl962_7193,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29559,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n15 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29531,zip_derived_cl962]) ).
thf('750',plain,
( ( sk_ != n14 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29559]) ).
thf(zip_derived_cl1536_7194,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7195,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29133,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl29056]) ).
thf(zip_derived_cl47_7196,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_7197,plain,
( ( sum @ n13 @ n30 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7198,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl947_7199,plain,
( ( sum @ n28 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_7200,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7201,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7202,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7203,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl959_7204,plain,
( ( sum @ n28 @ n27 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29207,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n29 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29133,zip_derived_cl47,zip_derived_cl497,zip_derived_cl16,zip_derived_cl947,zip_derived_cl448,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482,zip_derived_cl959]) ).
thf('751',plain,
( ( sk_ != n14 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29207]) ).
thf(zip_derived_cl958_7205,plain,
( ( sum @ n28 @ n26 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7206,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_7207,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24424,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl24407]) ).
thf(zip_derived_cl47_7208,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7209,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7210,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7211,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24487,plain,
( ( ( sum @ ( sum @ n13 @ n14 ) @ ( sum @ n12 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24424,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl481_7212,plain,
( ( sum @ n13 @ n14 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_7213,plain,
( ( sum @ n12 @ n15 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7214,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27196,plain,
( ( ( sum @ n27 @ n27 )
!= ( sum @ n28 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24487,zip_derived_cl481,zip_derived_cl451,zip_derived_cl482]) ).
thf(zip_derived_cl28984,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl958,zip_derived_cl27196]) ).
thf(zip_derived_cl928_7215,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28985,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n13 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28984,zip_derived_cl928]) ).
thf('752',plain,
( ( sk_ != n14 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28985]) ).
thf(zip_derived_cl957_7216,plain,
( ( sum @ n28 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7217,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_7218,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28761,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl28682]) ).
thf(zip_derived_cl47_7219,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_7220,plain,
( ( sum @ n13 @ n29 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7221,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl916_7222,plain,
( ( sum @ n27 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_7223,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7224,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7225,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7226,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28834,plain,
( ( n22
!= ( sum @ n28 @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28761,zip_derived_cl47,zip_derived_cl496,zip_derived_cl16,zip_derived_cl916,zip_derived_cl416,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28977,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n28 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl957,zip_derived_cl28834]) ).
thf('753',plain,
( ( sk_ != n14 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28977]) ).
thf(zip_derived_cl948_7227,plain,
( ( sum @ n28 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7228,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_7229,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22877,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_cl1536,zip_derived_cl22862]) ).
thf(zip_derived_cl47_7230,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7231,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7232,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7233,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22940,plain,
( ( ( sum @ ( sum @ n13 @ n9 ) @ ( sum @ n7 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22877,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl476,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_7234,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7235,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26361,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n28 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22940,zip_derived_cl476,zip_derived_cl296,zip_derived_cl482]) ).
thf(zip_derived_cl28954,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl948,zip_derived_cl26361]) ).
thf(zip_derived_cl768_7236,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28955,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n8 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28954,zip_derived_cl768]) ).
thf('754',plain,
( ( sk_ != n14 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28955]) ).
thf(zip_derived_cl946_7237,plain,
( ( sum @ n28 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7238,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_7239,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22248,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_cl1536,zip_derived_cl22233]) ).
thf(zip_derived_cl47_7240,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7241,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7242,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7243,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22311,plain,
( ( ( sum @ ( sum @ n13 @ n8 ) @ ( sum @ n6 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22248,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl475_7244,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_7245,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7246,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26305,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n28 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22311,zip_derived_cl475,zip_derived_cl265,zip_derived_cl482]) ).
thf(zip_derived_cl28949,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl946,zip_derived_cl26305]) ).
thf(zip_derived_cl736_7247,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28950,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n7 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28949,zip_derived_cl736]) ).
thf('755',plain,
( ( sk_ != n14 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28950]) ).
thf(zip_derived_cl945_7248,plain,
( ( sum @ n28 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7249,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_7250,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26732,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl26692]) ).
thf(zip_derived_cl47_7251,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_7252,plain,
( ( sum @ n13 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7253,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_7254,plain,
( ( sum @ n21 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_7255,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7256,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7257,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7258,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26796,plain,
( ( n10
!= ( sum @ n28 @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26732,zip_derived_cl47,zip_derived_cl490,zip_derived_cl16,zip_derived_cl730,zip_derived_cl224,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28947,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n22 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl945,zip_derived_cl26796]) ).
thf('756',plain,
( ( sk_ != n14 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28947]) ).
thf(zip_derived_cl943_7259,plain,
( ( sum @ n28 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7260,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7261,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26457,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl26424]) ).
thf(zip_derived_cl47_7262,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489_7263,plain,
( ( sum @ n13 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7264,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl699_7265,plain,
( ( sum @ n20 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_7266,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7267,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7268,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7269,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26520,plain,
( ( n8
!= ( sum @ n28 @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26457,zip_derived_cl47,zip_derived_cl489,zip_derived_cl16,zip_derived_cl699,zip_derived_cl192,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28942,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n21 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl943,zip_derived_cl26520]) ).
thf('757',plain,
( ( sk_ != n14 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28942]) ).
thf(zip_derived_cl941_7270,plain,
( ( sum @ n28 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7271,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_7272,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26182,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl26155]) ).
thf(zip_derived_cl47_7273,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_7274,plain,
( ( sum @ n13 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7275,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668_7276,plain,
( ( sum @ n19 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_7277,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7278,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7279,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7280,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26244,plain,
( ( n6
!= ( sum @ n28 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26182,zip_derived_cl47,zip_derived_cl488,zip_derived_cl16,zip_derived_cl668,zip_derived_cl160,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28937,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n20 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl941,zip_derived_cl26244]) ).
thf('758',plain,
( ( sk_ != n14 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28937]) ).
thf(zip_derived_cl940_7281,plain,
( ( sum @ n28 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7282,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_7283,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20193,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_cl1536,zip_derived_cl20178]) ).
thf(zip_derived_cl47_7284,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7285,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7286,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7287,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20256,plain,
( ( ( sum @ ( sum @ n13 @ n5 ) @ ( sum @ n3 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20193,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl472_7288,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_7289,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7290,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25802,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n28 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20256,zip_derived_cl472,zip_derived_cl172,zip_derived_cl482]) ).
thf(zip_derived_cl28934,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl25802]) ).
thf(zip_derived_cl640_7291,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28935,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n4 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28934,zip_derived_cl640]) ).
thf('759',plain,
( ( sk_ != n14 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28935]) ).
thf(zip_derived_cl936_7292,plain,
( ( sum @ n28 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7293,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7294,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18786,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_cl1536,zip_derived_cl18771]) ).
thf(zip_derived_cl47_7295,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7296,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7297,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7298,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18849,plain,
( ( ( sum @ ( sum @ n13 @ n3 ) @ ( sum @ n1 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18786,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl470_7299,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_7300,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_7301,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7302,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25516,plain,
( ( n1
!= ( sum @ n28 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18849,zip_derived_cl470,zip_derived_cl110,zip_derived_cl576,zip_derived_cl482]) ).
thf(zip_derived_cl28923,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n2 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl936,zip_derived_cl25516]) ).
thf('760',plain,
( ( sk_ != n14 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28923]) ).
thf(zip_derived_cl935_7303,plain,
( ( sum @ n28 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7304,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_7305,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25372,plain,
( ( ( sum @ ( sum @ ( pred @ n14 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n14 ) ) )
!= ( sum @ ( sum @ ( pred @ n14 ) @ ( succ @ n14 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1536,zip_derived_cl25355]) ).
thf(zip_derived_cl47_7306,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485_7307,plain,
( ( sum @ n13 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7308,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575_7309,plain,
( ( sum @ n16 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_7310,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7311,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7312,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7313,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25434,plain,
( ( n0
!= ( sum @ n28 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25372,zip_derived_cl47,zip_derived_cl485,zip_derived_cl16,zip_derived_cl575,zip_derived_cl64,zip_derived_cl47,zip_derived_cl16,zip_derived_cl482]) ).
thf(zip_derived_cl28921,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n17 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl935,zip_derived_cl25434]) ).
thf('761',plain,
( ( sk_ != n14 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28921]) ).
thf(zip_derived_cl934_7314,plain,
( ( sum @ n28 @ n2 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_7315,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_7316,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18377,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_cl1536,zip_derived_cl18362]) ).
thf(zip_derived_cl47_7317,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7318,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl47_7319,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7320,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18440,plain,
( ( ( sum @ ( sum @ n13 @ n2 ) @ ( sum @ n0 @ n15 ) )
!= ( sum @ ( sum @ n13 @ n15 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18377,zip_derived_cl47,zip_derived_cl16,zip_derived_cl47,zip_derived_cl16]) ).
thf(zip_derived_cl469_7321,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_7322,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_7323,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_7324,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25303,plain,
( ( n30
!= ( sum @ n28 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18440,zip_derived_cl469,zip_derived_cl79,zip_derived_cl544,zip_derived_cl482]) ).
thf(zip_derived_cl28919,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n1 )
& ( sk_ = n14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl25303]) ).
thf('762',plain,
( ( sk_ != n14 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28919]) ).
thf(zip_derived_cl1536_7325,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl5223_7326,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_cl1679,zip_derived_cl16,zip_derived_cl16]) ).
thf(zip_derived_cl5238,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_cl1536,zip_derived_cl5223]) ).
thf(zip_derived_cl16_7327,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16_7328,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5300,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_cl5238,zip_derived_cl16,zip_derived_cl16]) ).
thf('763',plain,
( ( sk_ != n14 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5300]) ).
thf(zip_derived_cl998_7329,plain,
( ( sum @ n30 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_7330,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7331,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18787,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_cl1537,zip_derived_cl18771]) ).
thf(zip_derived_cl48_7332,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_7333,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_7334,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_7335,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18850,plain,
( ( ( sum @ ( sum @ n14 @ n3 ) @ ( sum @ n1 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18787,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl501_7336,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_7337,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_7338,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25517,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ n30 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18850,zip_derived_cl501,zip_derived_cl111,zip_derived_cl514]) ).
thf(zip_derived_cl29740,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl998,zip_derived_cl25517]) ).
thf(zip_derived_cl608_7339,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29743,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n2 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29740,zip_derived_cl608]) ).
thf('764',plain,
( ( sk__1 != n2 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29743]) ).
thf(zip_derived_cl997_7340,plain,
( ( sum @ n30 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_7341,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7342,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18772,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_cl1522,zip_derived_cl18771]) ).
thf(zip_derived_cl33_7343,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_7344,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_7345,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_7346,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_7347,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18834,plain,
( ( ( sum @ ( sum @ n30 @ n3 ) @ n2 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18772,zip_derived_cl33,zip_derived_cl2,zip_derived_cl96,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29734,plain,
( ( ( sum @ n2 @ n2 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl997,zip_derived_cl18834]) ).
thf(zip_derived_cl128_7348,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_7349,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_7350,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29736,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n2 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29734,zip_derived_cl128,zip_derived_cl995,zip_derived_cl68]) ).
thf('765',plain,
( ( sk_ != n0 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29736]) ).
thf(zip_derived_cl960_7351,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_7352,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_7353,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7354,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18798,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n3 ) @ ( sum @ n1 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl18771]) ).
thf(zip_derived_cl59_7355,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_7356,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_7357,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_7358,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18861,plain,
( ( ( sum @ ( sum @ n25 @ n3 ) @ ( sum @ n1 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18798,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl122_7359,plain,
( ( sum @ n1 @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25528,plain,
( ( ( sum @ ( sum @ n25 @ n3 ) @ n28 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18861,zip_derived_cl122]) ).
thf(zip_derived_cl27973,plain,
( ( ( sum @ ( sum @ n25 @ n3 ) @ n28 )
!= ( sum @ n21 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl25528]) ).
thf(zip_derived_cl842_7360,plain,
( ( sum @ n25 @ n3 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_7361,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27991,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n2 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27973,zip_derived_cl842,zip_derived_cl719]) ).
thf(zip_derived_cl29023,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n2 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl27991]) ).
thf('766',plain,
( ( sk__1 != n2 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29023]) ).
thf(zip_derived_cl928_7362,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_7363,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_7364,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7365,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18797,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_cl1547,zip_derived_cl18771]) ).
thf(zip_derived_cl58_7366,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_7367,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_7368,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_7369,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18860,plain,
( ( ( sum @ ( sum @ n24 @ n3 ) @ ( sum @ n1 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18797,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl121_7370,plain,
( ( sum @ n1 @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25527,plain,
( ( ( sum @ ( sum @ n24 @ n3 ) @ n27 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18860,zip_derived_cl121]) ).
thf(zip_derived_cl27634,plain,
( ( ( sum @ ( sum @ n24 @ n3 ) @ n27 )
!= ( sum @ n19 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl25527]) ).
thf(zip_derived_cl811_7371,plain,
( ( sum @ n24 @ n3 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657_7372,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27650,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27634,zip_derived_cl811,zip_derived_cl657]) ).
thf(zip_derived_cl28649,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n2 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl27650]) ).
thf('767',plain,
( ( sk__1 != n2 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28649]) ).
thf(zip_derived_cl896_7373,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_7374,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_7375,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7376,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18796,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_cl1546,zip_derived_cl18771]) ).
thf(zip_derived_cl57_7377,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_7378,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_7379,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_7380,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18859,plain,
( ( ( sum @ ( sum @ n23 @ n3 ) @ ( sum @ n1 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18796,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl120_7381,plain,
( ( sum @ n1 @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25526,plain,
( ( ( sum @ ( sum @ n23 @ n3 ) @ n26 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18859,zip_derived_cl120]) ).
thf(zip_derived_cl27298,plain,
( ( ( sum @ ( sum @ n23 @ n3 ) @ n26 )
!= ( sum @ n17 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl25526]) ).
thf(zip_derived_cl780_7382,plain,
( ( sum @ n23 @ n3 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl595_7383,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27311,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27298,zip_derived_cl780,zip_derived_cl595]) ).
thf(zip_derived_cl28297,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n2 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl27311]) ).
thf('768',plain,
( ( sk_ != n24 )
| ( sk__1 != n2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28297]) ).
thf(zip_derived_cl864_7384,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_7385,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_7386,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7387,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18795,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_cl1545,zip_derived_cl18771]) ).
thf(zip_derived_cl56_7388,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_7389,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_7390,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_7391,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18858,plain,
( ( ( sum @ ( sum @ n22 @ n3 ) @ ( sum @ n1 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18795,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl119_7392,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25525,plain,
( ( ( sum @ ( sum @ n22 @ n3 ) @ n25 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18858,zip_derived_cl119]) ).
thf(zip_derived_cl26991,plain,
( ( ( sum @ ( sum @ n22 @ n3 ) @ n25 )
!= ( sum @ n15 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl25525]) ).
thf(zip_derived_cl749_7393,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533_7394,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27002,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26991,zip_derived_cl749,zip_derived_cl533]) ).
thf(zip_derived_cl27942,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n2 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl27002]) ).
thf('769',plain,
( ( sk__1 != n2 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27942]) ).
thf(zip_derived_cl832_7395,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_7396,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_7397,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7398,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18794,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_cl1544,zip_derived_cl18771]) ).
thf(zip_derived_cl55_7399,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_7400,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_7401,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_7402,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18857,plain,
( ( ( sum @ ( sum @ n21 @ n3 ) @ ( sum @ n1 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18794,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl118_7403,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25524,plain,
( ( ( sum @ ( sum @ n21 @ n3 ) @ n24 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18857,zip_derived_cl118]) ).
thf(zip_derived_cl26694,plain,
( ( ( sum @ ( sum @ n21 @ n3 ) @ n24 )
!= ( sum @ n13 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl25524]) ).
thf(zip_derived_cl718_7404,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_7405,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26705,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26694,zip_derived_cl718,zip_derived_cl471]) ).
thf(zip_derived_cl27605,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n2 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26705]) ).
thf('770',plain,
( ( sk__1 != n2 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27605]) ).
thf(zip_derived_cl800_7406,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_7407,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_7408,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7409,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18793,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_cl1543,zip_derived_cl18771]) ).
thf(zip_derived_cl54_7410,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_7411,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_7412,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_7413,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18856,plain,
( ( ( sum @ ( sum @ n20 @ n3 ) @ ( sum @ n1 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18793,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl117_7414,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25523,plain,
( ( ( sum @ ( sum @ n20 @ n3 ) @ n23 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18856,zip_derived_cl117]) ).
thf(zip_derived_cl26426,plain,
( ( ( sum @ ( sum @ n20 @ n3 ) @ n23 )
!= ( sum @ n11 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl25523]) ).
thf(zip_derived_cl687_7415,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_7416,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26435,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26426,zip_derived_cl687,zip_derived_cl409]) ).
thf(zip_derived_cl27270,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n2 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26435]) ).
thf('771',plain,
( ( sk__1 != n2 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27270]) ).
thf(zip_derived_cl768_7417,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_7418,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_7419,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7420,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18792,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_cl1542,zip_derived_cl18771]) ).
thf(zip_derived_cl53_7421,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_7422,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_7423,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_7424,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18855,plain,
( ( ( sum @ ( sum @ n19 @ n3 ) @ ( sum @ n1 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18792,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl116_7425,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25522,plain,
( ( ( sum @ ( sum @ n19 @ n3 ) @ n22 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18855,zip_derived_cl116]) ).
thf(zip_derived_cl26157,plain,
( ( ( sum @ ( sum @ n19 @ n3 ) @ n22 )
!= ( sum @ n9 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl25522]) ).
thf(zip_derived_cl656_7426,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_7427,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26163,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26157,zip_derived_cl656,zip_derived_cl347]) ).
thf(zip_derived_cl26966,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n2 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl26163]) ).
thf('772',plain,
( ( sk__1 != n2 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26966]) ).
thf(zip_derived_cl736_7428,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_7429,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_7430,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7431,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18791,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_cl1541,zip_derived_cl18771]) ).
thf(zip_derived_cl52_7432,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_7433,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_7434,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_7435,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18854,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ ( sum @ n1 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18791,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl115_7436,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25521,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ n21 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18854,zip_derived_cl115]) ).
thf(zip_derived_cl25891,plain,
( ( ( sum @ ( sum @ n18 @ n3 ) @ n21 )
!= ( sum @ n7 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl25521]) ).
thf(zip_derived_cl625_7437,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_7438,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25895,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25891,zip_derived_cl625,zip_derived_cl285]) ).
thf(zip_derived_cl26670,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n2 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25895]) ).
thf('773',plain,
( ( sk__1 != n2 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26670]) ).
thf(zip_derived_cl704_7439,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7440,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_7441,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7442,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18790,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_cl1540,zip_derived_cl18771]) ).
thf(zip_derived_cl51_7443,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7444,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7445,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7446,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18853,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ ( sum @ n1 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18790,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl114_7447,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25520,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ n20 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18853,zip_derived_cl114]) ).
thf(zip_derived_cl25621,plain,
( ( ( sum @ ( sum @ n17 @ n3 ) @ n20 )
!= ( sum @ n5 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl25520]) ).
thf(zip_derived_cl594_7448,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_7449,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25625,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25621,zip_derived_cl594,zip_derived_cl223]) ).
thf(zip_derived_cl26404,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n2 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25625]) ).
thf('774',plain,
( ( sk__1 != n2 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26404]) ).
thf(zip_derived_cl688_7450,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1532_7451,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7452,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18782,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_cl1532,zip_derived_cl18771]) ).
thf(zip_derived_cl43_7453,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_7454,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl43_7455,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12_7456,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18845,plain,
( ( ( sum @ ( sum @ n9 @ n3 ) @ ( sum @ n1 @ n11 ) )
!= ( sum @ ( sum @ n9 @ n11 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18782,zip_derived_cl43,zip_derived_cl12,zip_derived_cl43,zip_derived_cl12]) ).
thf(zip_derived_cl346_7457,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_7458,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_7459,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_7460,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25512,plain,
( ( n24
!= ( sum @ n20 @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18845,zip_derived_cl346,zip_derived_cl106,zip_derived_cl448,zip_derived_cl354]) ).
thf(zip_derived_cl26312,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n2 )
& ( sk_ = n10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl25512]) ).
thf('775',plain,
( ( sk__1 != n2 )
| ( sk_ != n10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26312]) ).
thf(zip_derived_cl672_7461,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_7462,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7463,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18789,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_cl1539,zip_derived_cl18771]) ).
thf(zip_derived_cl50_7464,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7465,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7466,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7467,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18852,plain,
( ( ( sum @ ( sum @ n16 @ n3 ) @ ( sum @ n1 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18789,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl563_7468,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_7469,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7470,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_7471,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25519,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18852,zip_derived_cl563,zip_derived_cl113,zip_derived_cl578,zip_derived_cl161]) ).
thf(zip_derived_cl26137,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n2 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25519]) ).
thf('776',plain,
( ( sk__1 != n2 )
| ( sk_ != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26137]) ).
thf(zip_derived_cl640_7472,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_7473,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7474,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18788,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_cl1538,zip_derived_cl18771]) ).
thf(zip_derived_cl49_7475,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_7476,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_7477,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_7478,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18851,plain,
( ( ( sum @ ( sum @ n15 @ n3 ) @ ( sum @ n1 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18788,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl532_7479,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_7480,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_7481,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_7482,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25518,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18851,zip_derived_cl532,zip_derived_cl112,zip_derived_cl546,zip_derived_cl99]) ).
thf(zip_derived_cl25877,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n2 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl25518]) ).
thf('777',plain,
( ( sk__1 != n2 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25877]) ).
thf(zip_derived_cl1530_7483,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18771_7484,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_cl98,zip_derived_cl7595]) ).
thf(zip_derived_cl18780,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_cl1530,zip_derived_cl18771]) ).
thf(zip_derived_cl41_7485,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_7486,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_7487,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_7488,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18843,plain,
( ( ( sum @ ( sum @ n7 @ n3 ) @ ( sum @ n1 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n4 ) )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18780,zip_derived_cl41,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10]) ).
thf(zip_derived_cl284_7489,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_7490,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_7491,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_7492,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl564_7493,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25509,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n2 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18843,zip_derived_cl284,zip_derived_cl104,zip_derived_cl384,zip_derived_cl290,zip_derived_cl564]) ).
thf('778',plain,
( ( sk__1 != n2 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25509]) ).
thf(zip_derived_cl1024_7494,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_7495,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_7496,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24427,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl24407]) ).
thf(zip_derived_cl50_7497,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7498,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7499,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7500,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24490,plain,
( ( ( sum @ ( sum @ n16 @ n14 ) @ ( sum @ n12 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24427,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl574_7501,plain,
( ( sum @ n16 @ n14 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_7502,plain,
( ( sum @ n12 @ n18 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7503,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_7504,plain,
( ( sum @ n3 @ n26 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27199,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24490,zip_derived_cl574,zip_derived_cl454,zip_derived_cl578,zip_derived_cl183]) ).
thf(zip_derived_cl29996,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n13 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27199]) ).
thf('779',plain,
( ( sk_ != n17 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29996]) ).
thf(zip_derived_cl1539_7505,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7506,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29136,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl29056]) ).
thf(zip_derived_cl50_7507,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590_7508,plain,
( ( sum @ n16 @ n30 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7509,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl950_7510,plain,
( ( sum @ n28 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_7511,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7512,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7513,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7514,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_7515,plain,
( ( sum @ n3 @ n27 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29212,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n29 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29136,zip_derived_cl50,zip_derived_cl590,zip_derived_cl19,zip_derived_cl950,zip_derived_cl544,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl184]) ).
thf('780',plain,
( ( sk_ != n17 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29212]) ).
thf(zip_derived_cl1539_7516,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_7517,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28764,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl28682]) ).
thf(zip_derived_cl50_7518,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589_7519,plain,
( ( sum @ n16 @ n29 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7520,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl919_7521,plain,
( ( sum @ n27 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_7522,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7523,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7524,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7525,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_7526,plain,
( ( sum @ n3 @ n25 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28838,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n28 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28764,zip_derived_cl50,zip_derived_cl589,zip_derived_cl19,zip_derived_cl919,zip_derived_cl512,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl182]) ).
thf('781',plain,
( ( sk_ != n17 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28838]) ).
thf(zip_derived_cl864_7527,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_7528,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_7529,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22880,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_cl1539,zip_derived_cl22862]) ).
thf(zip_derived_cl50_7530,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7531,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7532,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7533,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22943,plain,
( ( ( sum @ ( sum @ n16 @ n9 ) @ ( sum @ n7 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22880,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl569,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_7534,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7535,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_7536,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26364,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22943,zip_derived_cl569,zip_derived_cl299,zip_derived_cl578,zip_derived_cl173]) ).
thf(zip_derived_cl27936,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n8 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26364]) ).
thf('782',plain,
( ( sk_ != n17 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27936]) ).
thf(zip_derived_cl1539_7537,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25157_7538,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n17 ) @ ( sum @ n15 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n1 ) )
<= ( sk__1 = n16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl13075]) ).
thf(zip_derived_cl25175,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n17 ) @ ( sum @ n15 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl25157]) ).
thf(zip_derived_cl50_7539,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7540,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7541,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7542,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25238,plain,
( ( ( sum @ ( sum @ n16 @ n17 ) @ ( sum @ n15 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n1 ) )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25175,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl577_7543,plain,
( ( sum @ n16 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547_7544,plain,
( ( sum @ n15 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_7545,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7546,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_7547,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27844,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n16 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25238,zip_derived_cl577,zip_derived_cl547,zip_derived_cl128,zip_derived_cl578,zip_derived_cl158]) ).
thf('783',plain,
( ( sk_ != n17 )
| ( sk__1 != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27844]) ).
thf(zip_derived_cl832_7548,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_7549,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_7550,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22251,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_cl1539,zip_derived_cl22233]) ).
thf(zip_derived_cl50_7551,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7552,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7553,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7554,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22314,plain,
( ( ( sum @ ( sum @ n16 @ n8 ) @ ( sum @ n6 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22251,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl568_7555,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_7556,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7557,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_7558,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26308,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22314,zip_derived_cl568,zip_derived_cl268,zip_derived_cl578,zip_derived_cl171]) ).
thf(zip_derived_cl27601,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n7 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26308]) ).
thf('784',plain,
( ( sk_ != n17 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27601]) ).
thf(zip_derived_cl1539_7559,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_7560,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24956,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl24936]) ).
thf(zip_derived_cl50_7561,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7562,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7563,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7564,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25019,plain,
( ( ( sum @ ( sum @ n16 @ n16 ) @ ( sum @ n14 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24956,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl576_7565,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516_7566,plain,
( ( sum @ n14 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_7567,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7568,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_7569,plain,
( ( sum @ n3 @ n30 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27549,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n15 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25019,zip_derived_cl576,zip_derived_cl516,zip_derived_cl96,zip_derived_cl578,zip_derived_cl187]) ).
thf('785',plain,
( ( sk_ != n17 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27549]) ).
thf(zip_derived_cl1539_7570,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_7571,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24693,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl24673]) ).
thf(zip_derived_cl50_7572,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7573,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7574,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7575,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24756,plain,
( ( ( sum @ ( sum @ n16 @ n15 ) @ ( sum @ n13 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24693,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl575_7576,plain,
( ( sum @ n16 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485_7577,plain,
( ( sum @ n13 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_7578,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7579,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_7580,plain,
( ( sum @ n3 @ n28 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27242,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n14 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24756,zip_derived_cl575,zip_derived_cl485,zip_derived_cl64,zip_derived_cl578,zip_derived_cl185]) ).
thf('786',plain,
( ( sk_ != n17 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27242]) ).
thf(zip_derived_cl1539_7581,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_7582,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26735,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl26692]) ).
thf(zip_derived_cl50_7583,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583_7584,plain,
( ( sum @ n16 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7585,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_7586,plain,
( ( sum @ n21 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_7587,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7588,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7589,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7590,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_7591,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26800,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n22 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26735,zip_derived_cl50,zip_derived_cl583,zip_derived_cl19,zip_derived_cl733,zip_derived_cl320,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl170]) ).
thf('787',plain,
( ( sk_ != n17 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26800]) ).
thf(zip_derived_cl736_7592,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_7593,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_7594,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20196,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_cl1539,zip_derived_cl20178]) ).
thf(zip_derived_cl50_7595,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7596,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7597,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7598,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20259,plain,
( ( ( sum @ ( sum @ n16 @ n5 ) @ ( sum @ n3 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20196,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl565_7599,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_7600,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7601,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_7602,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25807,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20259,zip_derived_cl565,zip_derived_cl175,zip_derived_cl578,zip_derived_cl165]) ).
thf(zip_derived_cl26668,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n4 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl25807]) ).
thf('788',plain,
( ( sk_ != n17 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26668]) ).
thf(zip_derived_cl1539_7603,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7604,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26460,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl26424]) ).
thf(zip_derived_cl50_7605,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582_7606,plain,
( ( sum @ n16 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7607,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702_7608,plain,
( ( sum @ n20 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_7609,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7610,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7611,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7612,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_7613,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26524,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n21 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26460,zip_derived_cl50,zip_derived_cl582,zip_derived_cl19,zip_derived_cl702,zip_derived_cl288,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl168]) ).
thf('789',plain,
( ( sk_ != n17 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26524]) ).
thf(zip_derived_cl1539_7614,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_7615,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26185,plain,
( ( ( sum @ ( sum @ ( pred @ n17 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n17 ) ) )
!= ( sum @ ( sum @ ( pred @ n17 ) @ ( succ @ n17 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl26155]) ).
thf(zip_derived_cl50_7616,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581_7617,plain,
( ( sum @ n16 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7618,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl671_7619,plain,
( ( sum @ n19 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_7620,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7621,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7622,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7623,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_7624,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26248,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n20 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26185,zip_derived_cl50,zip_derived_cl581,zip_derived_cl19,zip_derived_cl671,zip_derived_cl256,zip_derived_cl50,zip_derived_cl19,zip_derived_cl578,zip_derived_cl166]) ).
thf('790',plain,
( ( sk_ != n17 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26248]) ).
thf(zip_derived_cl640_7625,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_7626,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_7627,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_7628,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18380,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_cl1539,zip_derived_cl18362]) ).
thf(zip_derived_cl50_7629,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7630,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl50_7631,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7632,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18443,plain,
( ( ( sum @ ( sum @ n16 @ n2 ) @ ( sum @ n0 @ n18 ) )
!= ( sum @ ( sum @ n16 @ n18 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18380,zip_derived_cl50,zip_derived_cl19,zip_derived_cl50,zip_derived_cl19]) ).
thf(zip_derived_cl562_7633,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_7634,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25306,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ ( sum @ n16 @ n18 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18443,zip_derived_cl562,zip_derived_cl82]) ).
thf(zip_derived_cl25356,plain,
( ( ( sum @ n18 @ n18 )
!= ( sum @ n3 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl25306]) ).
thf(zip_derived_cl159_7635,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25357,plain,
( ( ( sum @ n18 @ n18 )
!= n5 )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25356,zip_derived_cl159]) ).
thf(zip_derived_cl25875,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n1 )
& ( sk_ = n17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl25357]) ).
thf('791',plain,
( ( sk_ != n17 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25875]) ).
thf(zip_derived_cl1539_7636,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl5580_7637,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_cl1734,zip_derived_cl19,zip_derived_cl19]) ).
thf(zip_derived_cl5598,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_cl1539,zip_derived_cl5580]) ).
thf(zip_derived_cl19_7638,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19_7639,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5660,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_cl5598,zip_derived_cl19,zip_derived_cl19]) ).
thf('792',plain,
( ( sk_ != n17 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5660]) ).
thf(zip_derived_cl1522_7640,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7641,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29119,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl29056]) ).
thf(zip_derived_cl33_7642,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_7643,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl933_7644,plain,
( ( sum @ n28 @ n1 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_7645,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_7646,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29181,plain,
( ( ( sum @ ( sum @ n30 @ n30 ) @ n29 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29119,zip_derived_cl33,zip_derived_cl2,zip_derived_cl933,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl1024_7647,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl992_7648,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_7649,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_7650,plain,
( ( sum @ n0 @ n27 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30173,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n29 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29181,zip_derived_cl1024,zip_derived_cl992,zip_derived_cl995,zip_derived_cl91]) ).
thf('793',plain,
( ( sk_ != n0 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30173]) ).
thf(zip_derived_cl1021_7651,plain,
( ( sum @ n30 @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_7652,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7653,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29134,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl29056]) ).
thf(zip_derived_cl48_7654,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528_7655,plain,
( ( sum @ n14 @ n30 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_7656,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl948_7657,plain,
( ( sum @ n28 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_7658,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_7659,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_7660,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_7661,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29209,plain,
( ( n26
!= ( sum @ n30 @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29134,zip_derived_cl48,zip_derived_cl528,zip_derived_cl17,zip_derived_cl948,zip_derived_cl480,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29953,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n29 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1021,zip_derived_cl29209]) ).
thf('794',plain,
( ( sk__1 != n29 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29953]) ).
thf(zip_derived_cl1548_7662,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7663,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29145,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl29056]) ).
thf(zip_derived_cl59_7664,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl869_7665,plain,
( ( sum @ n25 @ n30 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_7666,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl959_7667,plain,
( ( sum @ n28 @ n27 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832_7668,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_7669,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_7670,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_7671,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742_7672,plain,
( ( sum @ n21 @ n27 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29230,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n29 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29145,zip_derived_cl59,zip_derived_cl869,zip_derived_cl28,zip_derived_cl959,zip_derived_cl832,zip_derived_cl59,zip_derived_cl28,zip_derived_cl866,zip_derived_cl742]) ).
thf('795',plain,
( ( sk__1 != n29 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29230]) ).
thf(zip_derived_cl1547_7673,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7674,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29144,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl29056]) ).
thf(zip_derived_cl58_7675,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl838_7676,plain,
( ( sum @ n24 @ n30 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_7677,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl958_7678,plain,
( ( sum @ n28 @ n26 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_7679,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_7680,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_7681,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_7682,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680_7683,plain,
( ( sum @ n19 @ n27 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29228,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n29 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29144,zip_derived_cl58,zip_derived_cl838,zip_derived_cl27,zip_derived_cl958,zip_derived_cl800,zip_derived_cl58,zip_derived_cl27,zip_derived_cl834,zip_derived_cl680]) ).
thf('796',plain,
( ( sk__1 != n29 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29228]) ).
thf(zip_derived_cl1546_7684,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7685,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29143,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl29056]) ).
thf(zip_derived_cl57_7686,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl807_7687,plain,
( ( sum @ n23 @ n30 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_7688,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl957_7689,plain,
( ( sum @ n28 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_7690,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_7691,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_7692,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_7693,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618_7694,plain,
( ( sum @ n17 @ n27 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29226,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n29 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29143,zip_derived_cl57,zip_derived_cl807,zip_derived_cl26,zip_derived_cl957,zip_derived_cl768,zip_derived_cl57,zip_derived_cl26,zip_derived_cl802,zip_derived_cl618]) ).
thf('797',plain,
( ( sk_ != n24 )
| ( sk__1 != n29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29226]) ).
thf(zip_derived_cl1545_7695,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7696,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29142,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl29056]) ).
thf(zip_derived_cl56_7697,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl776_7698,plain,
( ( sum @ n22 @ n30 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_7699,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl956_7700,plain,
( ( sum @ n28 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_7701,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_7702,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_7703,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_7704,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556_7705,plain,
( ( sum @ n15 @ n27 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29224,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n29 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29142,zip_derived_cl56,zip_derived_cl776,zip_derived_cl25,zip_derived_cl956,zip_derived_cl736,zip_derived_cl56,zip_derived_cl25,zip_derived_cl770,zip_derived_cl556]) ).
thf('798',plain,
( ( sk__1 != n29 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29224]) ).
thf(zip_derived_cl1544_7706,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7707,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29141,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl29056]) ).
thf(zip_derived_cl55_7708,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745_7709,plain,
( ( sum @ n21 @ n30 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_7710,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl955_7711,plain,
( ( sum @ n28 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_7712,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_7713,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_7714,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_7715,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_7716,plain,
( ( sum @ n13 @ n27 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29222,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n29 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29141,zip_derived_cl55,zip_derived_cl745,zip_derived_cl24,zip_derived_cl955,zip_derived_cl704,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl494]) ).
thf('799',plain,
( ( sk__1 != n29 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29222]) ).
thf(zip_derived_cl1543_7717,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7718,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29140,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl29056]) ).
thf(zip_derived_cl54_7719,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714_7720,plain,
( ( sum @ n20 @ n30 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_7721,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl954_7722,plain,
( ( sum @ n28 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_7723,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_7724,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_7725,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_7726,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_7727,plain,
( ( sum @ n11 @ n27 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29220,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n29 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29140,zip_derived_cl54,zip_derived_cl714,zip_derived_cl23,zip_derived_cl954,zip_derived_cl672,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl432]) ).
thf('800',plain,
( ( sk__1 != n29 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29220]) ).
thf(zip_derived_cl1542_7728,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7729,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29139,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl29056]) ).
thf(zip_derived_cl53_7730,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl683_7731,plain,
( ( sum @ n19 @ n30 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_7732,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl953_7733,plain,
( ( sum @ n28 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_7734,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_7735,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_7736,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_7737,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_7738,plain,
( ( sum @ n9 @ n27 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29218,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n29 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29139,zip_derived_cl53,zip_derived_cl683,zip_derived_cl22,zip_derived_cl953,zip_derived_cl640,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl370]) ).
thf('801',plain,
( ( sk__1 != n29 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29218]) ).
thf(zip_derived_cl1541_7739,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7740,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29138,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl29056]) ).
thf(zip_derived_cl52_7741,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl652_7742,plain,
( ( sum @ n18 @ n30 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_7743,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl952_7744,plain,
( ( sum @ n28 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_7745,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_7746,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_7747,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_7748,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_7749,plain,
( ( sum @ n7 @ n27 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29216,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n29 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29138,zip_derived_cl52,zip_derived_cl652,zip_derived_cl21,zip_derived_cl952,zip_derived_cl608,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl308]) ).
thf('802',plain,
( ( sk__1 != n29 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29216]) ).
thf(zip_derived_cl1540_7750,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7751,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29137,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl29056]) ).
thf(zip_derived_cl51_7752,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_7753,plain,
( ( sum @ n17 @ n30 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7754,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl951_7755,plain,
( ( sum @ n28 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_7756,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7757,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7758,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7759,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_7760,plain,
( ( sum @ n5 @ n27 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29214,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n29 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29137,zip_derived_cl51,zip_derived_cl621,zip_derived_cl20,zip_derived_cl951,zip_derived_cl576,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl246]) ).
thf('803',plain,
( ( sk__1 != n29 )
| ( sk_ != n18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29214]) ).
thf(zip_derived_cl1538_7761,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7762,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29135,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl29056]) ).
thf(zip_derived_cl49_7763,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559_7764,plain,
( ( sum @ n15 @ n30 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_7765,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl949_7766,plain,
( ( sum @ n28 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_7767,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_7768,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_7769,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_7770,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_7771,plain,
( ( sum @ n1 @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29210,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n29 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29135,zip_derived_cl49,zip_derived_cl559,zip_derived_cl18,zip_derived_cl949,zip_derived_cl512,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl122]) ).
thf('804',plain,
( ( sk__1 != n29 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29210]) ).
thf(zip_derived_cl1530_7772,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl29056_7773,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n30 ) @ ( sum @ n28 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n27 ) )
<= ( sk__1 = n29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl962,zip_derived_cl17839]) ).
thf(zip_derived_cl29127,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n30 ) @ ( sum @ n28 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n27 ) )
<= ( ( sk__1 = n29 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl29056]) ).
thf(zip_derived_cl41_7774,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_7775,plain,
( ( sum @ n7 @ n30 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_7776,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl941_7777,plain,
( ( sum @ n28 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_7778,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_7779,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_7780,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_7781,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587_7782,plain,
( ( sum @ n16 @ n27 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29195,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n29 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29127,zip_derived_cl41,zip_derived_cl311,zip_derived_cl10,zip_derived_cl941,zip_derived_cl256,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl587]) ).
thf('805',plain,
( ( sk__1 != n29 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29195]) ).
thf(zip_derived_cl1540_7783,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_7784,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28765,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl28682]) ).
thf(zip_derived_cl51_7785,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl620_7786,plain,
( ( sum @ n17 @ n29 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7787,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl920_7788,plain,
( ( sum @ n27 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_7789,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7790,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7791,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7792,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_7793,plain,
( ( sum @ n5 @ n25 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28840,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n28 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28765,zip_derived_cl51,zip_derived_cl620,zip_derived_cl20,zip_derived_cl920,zip_derived_cl544,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl244]) ).
thf('806',plain,
( ( sk_ != n18 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28840]) ).
thf(zip_derived_cl896_7794,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_7795,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_7796,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22881,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_cl1540,zip_derived_cl22862]) ).
thf(zip_derived_cl51_7797,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7798,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7799,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7800,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22944,plain,
( ( ( sum @ ( sum @ n17 @ n9 ) @ ( sum @ n7 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22881,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl600_7801,plain,
( ( sum @ n17 @ n9 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_7802,plain,
( ( sum @ n7 @ n19 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7803,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_7804,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26367,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22944,zip_derived_cl600,zip_derived_cl300,zip_derived_cl610,zip_derived_cl235]) ).
thf(zip_derived_cl28288,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n8 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26367]) ).
thf('807',plain,
( ( sk_ != n18 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28288]) ).
thf(zip_derived_cl864_7805,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_7806,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_7807,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22252,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_cl1540,zip_derived_cl22233]) ).
thf(zip_derived_cl51_7808,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7809,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7810,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7811,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22315,plain,
( ( ( sum @ ( sum @ n17 @ n8 ) @ ( sum @ n6 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22252,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl599_7812,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_7813,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7814,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_7815,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26309,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22315,zip_derived_cl599,zip_derived_cl269,zip_derived_cl610,zip_derived_cl233]) ).
thf(zip_derived_cl27935,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n7 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26309]) ).
thf('808',plain,
( ( sk_ != n18 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27935]) ).
thf(zip_derived_cl1540_7816,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_7817,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25376,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl25355]) ).
thf(zip_derived_cl51_7818,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7819,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7820,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7821,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25440,plain,
( ( ( sum @ ( sum @ n17 @ n18 ) @ ( sum @ n16 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25376,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl609_7822,plain,
( ( sum @ n17 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579_7823,plain,
( ( sum @ n16 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_7824,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7825,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_7826,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27888,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n17 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25440,zip_derived_cl609,zip_derived_cl579,zip_derived_cl192,zip_derived_cl610,zip_derived_cl222]) ).
thf('809',plain,
( ( sk_ != n18 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27888]) ).
thf(zip_derived_cl1540_7827,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_7828,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24957,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl24936]) ).
thf(zip_derived_cl51_7829,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7830,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7831,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7832,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25020,plain,
( ( ( sum @ ( sum @ n17 @ n16 ) @ ( sum @ n14 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24957,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl607_7833,plain,
( ( sum @ n17 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517_7834,plain,
( ( sum @ n14 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_7835,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7836,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_7837,plain,
( ( sum @ n5 @ n30 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27551,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n15 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25020,zip_derived_cl607,zip_derived_cl517,zip_derived_cl128,zip_derived_cl610,zip_derived_cl249]) ).
thf('810',plain,
( ( sk_ != n18 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27551]) ).
thf(zip_derived_cl1540_7838,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_7839,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24694,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl24673]) ).
thf(zip_derived_cl51_7840,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7841,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7842,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7843,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24757,plain,
( ( ( sum @ ( sum @ n17 @ n15 ) @ ( sum @ n13 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24694,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl606_7844,plain,
( ( sum @ n17 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_7845,plain,
( ( sum @ n13 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_7846,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7847,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_7848,plain,
( ( sum @ n5 @ n28 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27244,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n14 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24757,zip_derived_cl606,zip_derived_cl486,zip_derived_cl96,zip_derived_cl610,zip_derived_cl247]) ).
thf('811',plain,
( ( sk_ != n18 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27244]) ).
thf(zip_derived_cl1540_7849,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_7850,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24428,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl24407]) ).
thf(zip_derived_cl51_7851,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7852,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7853,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7854,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24491,plain,
( ( ( sum @ ( sum @ n17 @ n14 ) @ ( sum @ n12 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24428,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl605_7855,plain,
( ( sum @ n17 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455_7856,plain,
( ( sum @ n12 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_7857,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7858,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_7859,plain,
( ( sum @ n5 @ n26 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27200,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n13 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24491,zip_derived_cl605,zip_derived_cl455,zip_derived_cl64,zip_derived_cl610,zip_derived_cl245]) ).
thf('812',plain,
( ( sk_ != n18 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27200]) ).
thf(zip_derived_cl768_7860,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_7861,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_7862,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20197,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_cl1540,zip_derived_cl20178]) ).
thf(zip_derived_cl51_7863,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7864,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7865,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7866,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20260,plain,
( ( ( sum @ ( sum @ n17 @ n5 ) @ ( sum @ n3 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20197,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl596_7867,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_7868,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7869,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_7870,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25808,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20260,zip_derived_cl596,zip_derived_cl176,zip_derived_cl610,zip_derived_cl227]) ).
thf(zip_derived_cl26961,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n4 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl25808]) ).
thf('813',plain,
( ( sk_ != n18 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26961]) ).
thf(zip_derived_cl1540_7871,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_7872,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26736,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl26692]) ).
thf(zip_derived_cl51_7873,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614_7874,plain,
( ( sum @ n17 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7875,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_7876,plain,
( ( sum @ n21 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_7877,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7878,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7879,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7880,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_7881,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26802,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n22 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26736,zip_derived_cl51,zip_derived_cl614,zip_derived_cl20,zip_derived_cl734,zip_derived_cl352,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl232]) ).
thf('814',plain,
( ( sk_ != n18 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26802]) ).
thf(zip_derived_cl1540_7882,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7883,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26461,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl26424]) ).
thf(zip_derived_cl51_7884,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613_7885,plain,
( ( sum @ n17 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7886,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl703_7887,plain,
( ( sum @ n20 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_7888,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7889,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7890,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7891,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_7892,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26526,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n21 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26461,zip_derived_cl51,zip_derived_cl613,zip_derived_cl20,zip_derived_cl703,zip_derived_cl320,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl230]) ).
thf('815',plain,
( ( sk_ != n18 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26526]) ).
thf(zip_derived_cl1540_7893,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_7894,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26186,plain,
( ( ( sum @ ( sum @ ( pred @ n18 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n18 ) ) )
!= ( sum @ ( sum @ ( pred @ n18 ) @ ( succ @ n18 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1540,zip_derived_cl26155]) ).
thf(zip_derived_cl51_7895,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612_7896,plain,
( ( sum @ n17 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7897,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_7898,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_7899,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7900,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7901,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7902,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_7903,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26250,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n20 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26186,zip_derived_cl51,zip_derived_cl612,zip_derived_cl20,zip_derived_cl672,zip_derived_cl288,zip_derived_cl51,zip_derived_cl20,zip_derived_cl610,zip_derived_cl228]) ).
thf('816',plain,
( ( sk_ != n18 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26250]) ).
thf(zip_derived_cl672_7904,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_7905,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_7906,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_7907,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18381,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_cl1540,zip_derived_cl18362]) ).
thf(zip_derived_cl51_7908,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7909,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl51_7910,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20_7911,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18444,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ ( sum @ n0 @ n19 ) )
!= ( sum @ ( sum @ n17 @ n19 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18381,zip_derived_cl51,zip_derived_cl20,zip_derived_cl51,zip_derived_cl20]) ).
thf(zip_derived_cl83_7912,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25307,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ n19 )
!= ( sum @ ( sum @ n17 @ n19 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18444,zip_derived_cl83]) ).
thf(zip_derived_cl25620,plain,
( ( ( sum @ ( sum @ n17 @ n2 ) @ n19 )
!= ( sum @ n5 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl25307]) ).
thf(zip_derived_cl593_7913,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_7914,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25624,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25620,zip_derived_cl593,zip_derived_cl221]) ).
thf(zip_derived_cl26139,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n1 )
& ( sk_ = n18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl25624]) ).
thf('817',plain,
( ( sk_ != n18 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26139]) ).
thf(zip_derived_cl1016_7915,plain,
( ( sum @ n30 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_7916,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7917,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26443,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl26424]) ).
thf(zip_derived_cl33_7918,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_7919,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl685_7920,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_7921,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_7922,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26505,plain,
( ( ( sum @ ( sum @ n30 @ n22 ) @ n21 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26443,zip_derived_cl33,zip_derived_cl2,zip_derived_cl685,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29898,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1016,zip_derived_cl26505]) ).
thf(zip_derived_cl736_7923,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_7924,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_7925,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29900,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n21 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29898,zip_derived_cl736,zip_derived_cl995,zip_derived_cl75]) ).
thf('818',plain,
( ( sk_ != n0 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29900]) ).
thf(zip_derived_cl1005_7926,plain,
( ( sum @ n30 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_7927,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7928,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26458,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl26424]) ).
thf(zip_derived_cl48_7929,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520_7930,plain,
( ( sum @ n14 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_7931,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl700_7932,plain,
( ( sum @ n20 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_7933,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_7934,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_7935,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_7936,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26521,plain,
( ( n10
!= ( sum @ n30 @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26458,zip_derived_cl48,zip_derived_cl520,zip_derived_cl17,zip_derived_cl700,zip_derived_cl224,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29785,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n21 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1005,zip_derived_cl26521]) ).
thf('819',plain,
( ( sk__1 != n21 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29785]) ).
thf(zip_derived_cl992_7937,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_7938,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7939,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26451,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl26424]) ).
thf(zip_derived_cl41_7940,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_7941,plain,
( ( sum @ n7 @ n22 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_7942,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl693_7943,plain,
( ( sum @ n20 @ n9 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_7944,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_7945,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_7946,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571_7947,plain,
( ( sum @ n16 @ n11 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26513,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n21 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26451,zip_derived_cl41,zip_derived_cl303,zip_derived_cl10,zip_derived_cl693,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl571]) ).
thf(zip_derived_cl29538,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n21 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26513]) ).
thf('820',plain,
( ( sk__1 != n21 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29538]) ).
thf(zip_derived_cl1548_7948,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7949,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26469,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl26424]) ).
thf(zip_derived_cl59_7950,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_7951,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_7952,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_7953,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26538,plain,
( ( ( sum @ ( sum @ n25 @ n22 ) @ ( sum @ n20 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26469,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl861_7954,plain,
( ( sum @ n25 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711_7955,plain,
( ( sum @ n20 @ n27 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_7956,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_7957,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_7958,plain,
( ( sum @ n21 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28624,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n21 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26538,zip_derived_cl861,zip_derived_cl711,zip_derived_cl576,zip_derived_cl866,zip_derived_cl726]) ).
thf('821',plain,
( ( sk__1 != n21 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28624]) ).
thf(zip_derived_cl1547_7959,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7960,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26468,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl26424]) ).
thf(zip_derived_cl58_7961,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_7962,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_7963,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_7964,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26537,plain,
( ( ( sum @ ( sum @ n24 @ n22 ) @ ( sum @ n20 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26468,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl830_7965,plain,
( ( sum @ n24 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710_7966,plain,
( ( sum @ n20 @ n26 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_7967,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_7968,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664_7969,plain,
( ( sum @ n19 @ n11 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28622,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n21 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26537,zip_derived_cl830,zip_derived_cl710,zip_derived_cl544,zip_derived_cl834,zip_derived_cl664]) ).
thf('822',plain,
( ( sk__1 != n21 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28622]) ).
thf(zip_derived_cl1546_7970,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7971,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26467,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl26424]) ).
thf(zip_derived_cl57_7972,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_7973,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_7974,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_7975,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26536,plain,
( ( ( sum @ ( sum @ n23 @ n22 ) @ ( sum @ n20 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26467,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl799_7976,plain,
( ( sum @ n23 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709_7977,plain,
( ( sum @ n20 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_7978,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_7979,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602_7980,plain,
( ( sum @ n17 @ n11 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28620,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n21 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26536,zip_derived_cl799,zip_derived_cl709,zip_derived_cl512,zip_derived_cl802,zip_derived_cl602]) ).
thf('823',plain,
( ( sk_ != n24 )
| ( sk__1 != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28620]) ).
thf(zip_derived_cl1545_7981,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7982,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26466,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl26424]) ).
thf(zip_derived_cl56_7983,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_7984,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_7985,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_7986,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26535,plain,
( ( ( sum @ ( sum @ n22 @ n22 ) @ ( sum @ n20 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26466,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl768_7987,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl708_7988,plain,
( ( sum @ n20 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_7989,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_7990,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_7991,plain,
( ( sum @ n15 @ n11 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28618,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n21 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26535,zip_derived_cl768,zip_derived_cl708,zip_derived_cl480,zip_derived_cl770,zip_derived_cl540]) ).
thf('824',plain,
( ( sk__1 != n21 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28618]) ).
thf(zip_derived_cl1544_7992,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_7993,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26465,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl26424]) ).
thf(zip_derived_cl55_7994,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_7995,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_7996,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_7997,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26534,plain,
( ( ( sum @ ( sum @ n21 @ n22 ) @ ( sum @ n20 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26465,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl737_7998,plain,
( ( sum @ n21 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl707_7999,plain,
( ( sum @ n20 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_8000,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8001,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_8002,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28616,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n21 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26534,zip_derived_cl737,zip_derived_cl707,zip_derived_cl448,zip_derived_cl738,zip_derived_cl478]) ).
thf('825',plain,
( ( sk__1 != n21 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28616]) ).
thf(zip_derived_cl1542_8003,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_8004,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26463,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl26424]) ).
thf(zip_derived_cl53_8005,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675_8006,plain,
( ( sum @ n19 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8007,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_8008,plain,
( ( sum @ n20 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_8009,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_8010,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8011,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_8012,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_8013,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26530,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n21 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26463,zip_derived_cl53,zip_derived_cl675,zip_derived_cl22,zip_derived_cl705,zip_derived_cl384,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl354]) ).
thf('826',plain,
( ( sk__1 != n21 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26530]) ).
thf(zip_derived_cl1541_8014,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_8015,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26462,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl26424]) ).
thf(zip_derived_cl52_8016,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644_8017,plain,
( ( sum @ n18 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8018,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_8019,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_8020,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8021,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8022,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8023,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_8024,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26528,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n21 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26462,zip_derived_cl52,zip_derived_cl644,zip_derived_cl21,zip_derived_cl704,zip_derived_cl352,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl292]) ).
thf('827',plain,
( ( sk__1 != n21 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26528]) ).
thf(zip_derived_cl1538_8025,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26424_8026,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n22 ) @ ( sum @ n20 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n11 ) )
<= ( sk__1 = n21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl15006]) ).
thf(zip_derived_cl26459,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n22 ) @ ( sum @ n20 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n11 ) )
<= ( ( sk__1 = n21 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl26424]) ).
thf(zip_derived_cl49_8027,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551_8028,plain,
( ( sum @ n15 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8029,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl701_8030,plain,
( ( sum @ n20 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_8031,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8032,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8033,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8034,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_8035,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26522,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n21 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26459,zip_derived_cl49,zip_derived_cl551,zip_derived_cl18,zip_derived_cl701,zip_derived_cl256,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl106]) ).
thf('828',plain,
( ( sk__1 != n21 )
| ( sk_ != n16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26522]) ).
thf(zip_derived_cl1543_8036,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl6192_8037,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_cl1825,zip_derived_cl23,zip_derived_cl23]) ).
thf(zip_derived_cl6214,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_cl1543,zip_derived_cl6192]) ).
thf(zip_derived_cl23_8038,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8039,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6276,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_cl6214,zip_derived_cl23,zip_derived_cl23]) ).
thf('829',plain,
( ( sk__1 != n21 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6276]) ).
thf(zip_derived_cl1024_8040,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_8041,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_8042,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24692,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl24673]) ).
thf(zip_derived_cl49_8043,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8044,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8045,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8046,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24755,plain,
( ( ( sum @ ( sum @ n15 @ n15 ) @ ( sum @ n13 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24692,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl544_8047,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_8048,plain,
( ( sum @ n13 @ n17 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8049,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_8050,plain,
( ( sum @ n1 @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27241,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24755,zip_derived_cl544,zip_derived_cl484,zip_derived_cl546,zip_derived_cl123]) ).
thf(zip_derived_cl29997,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n14 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27241]) ).
thf('830',plain,
( ( sk_ != n16 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29997]) ).
thf(zip_derived_cl992_8051,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_8052,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_8053,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24426,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl24407]) ).
thf(zip_derived_cl49_8054,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8055,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8056,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8057,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24489,plain,
( ( ( sum @ ( sum @ n15 @ n14 ) @ ( sum @ n12 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24426,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl543_8058,plain,
( ( sum @ n15 @ n14 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_8059,plain,
( ( sum @ n12 @ n17 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8060,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_8061,plain,
( ( sum @ n1 @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27198,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24489,zip_derived_cl543,zip_derived_cl453,zip_derived_cl546,zip_derived_cl121]) ).
thf(zip_derived_cl29547,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n13 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl27198]) ).
thf('831',plain,
( ( sk_ != n16 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29547]) ).
thf(zip_derived_cl1538_8062,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8063,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28763,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl28682]) ).
thf(zip_derived_cl49_8064,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558_8065,plain,
( ( sum @ n15 @ n29 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8066,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl918_8067,plain,
( ( sum @ n27 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_8068,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8069,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8070,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8071,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_8072,plain,
( ( sum @ n1 @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28836,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n28 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28763,zip_derived_cl49,zip_derived_cl558,zip_derived_cl18,zip_derived_cl918,zip_derived_cl480,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl120]) ).
thf('832',plain,
( ( sk_ != n16 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28836]) ).
thf(zip_derived_cl832_8073,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_8074,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8075,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22879,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_cl1538,zip_derived_cl22862]) ).
thf(zip_derived_cl49_8076,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8077,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8078,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8079,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22942,plain,
( ( ( sum @ ( sum @ n15 @ n9 ) @ ( sum @ n7 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22879,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl538_8080,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_8081,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8082,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_8083,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26363,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22942,zip_derived_cl538,zip_derived_cl298,zip_derived_cl546,zip_derived_cl111]) ).
thf(zip_derived_cl27602,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n8 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26363]) ).
thf('833',plain,
( ( sk_ != n16 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27602]) ).
thf(zip_derived_cl1538_8084,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_8085,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24955,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl24936]) ).
thf(zip_derived_cl49_8086,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8087,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8088,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8089,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25018,plain,
( ( ( sum @ ( sum @ n15 @ n16 ) @ ( sum @ n14 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24955,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl545_8090,plain,
( ( sum @ n15 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_8091,plain,
( ( sum @ n14 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_8092,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8093,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_8094,plain,
( ( sum @ n1 @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27547,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n15 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25018,zip_derived_cl545,zip_derived_cl515,zip_derived_cl64,zip_derived_cl546,zip_derived_cl125]) ).
thf('834',plain,
( ( sk_ != n16 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27547]) ).
thf(zip_derived_cl800_8095,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_8096,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_8097,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22250,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_cl1538,zip_derived_cl22233]) ).
thf(zip_derived_cl49_8098,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8099,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8100,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8101,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22313,plain,
( ( ( sum @ ( sum @ n15 @ n8 ) @ ( sum @ n6 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22250,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl537_8102,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_8103,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8104,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_8105,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26307,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22313,zip_derived_cl537,zip_derived_cl267,zip_derived_cl546,zip_derived_cl109]) ).
thf(zip_derived_cl27269,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n7 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26307]) ).
thf('835',plain,
( ( sk_ != n16 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27269]) ).
thf(zip_derived_cl1538_8106,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8107,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26734,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl26692]) ).
thf(zip_derived_cl49_8108,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552_8109,plain,
( ( sum @ n15 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8110,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_8111,plain,
( ( sum @ n21 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_8112,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8113,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8114,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8115,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_8116,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26798,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n22 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26734,zip_derived_cl49,zip_derived_cl552,zip_derived_cl18,zip_derived_cl732,zip_derived_cl288,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl108]) ).
thf('836',plain,
( ( sk_ != n16 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26798]) ).
thf(zip_derived_cl704_8117,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_8118,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_8119,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20195,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_cl1538,zip_derived_cl20178]) ).
thf(zip_derived_cl49_8120,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8121,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8122,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8123,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20258,plain,
( ( ( sum @ ( sum @ n15 @ n5 ) @ ( sum @ n3 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20195,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl534_8124,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_8125,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8126,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_8127,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25806,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20258,zip_derived_cl534,zip_derived_cl174,zip_derived_cl546,zip_derived_cl103]) ).
thf(zip_derived_cl26406,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n4 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25806]) ).
thf('837',plain,
( ( sk_ != n16 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26406]) ).
thf(zip_derived_cl1538_8128,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8129,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26184,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl26155]) ).
thf(zip_derived_cl49_8130,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550_8131,plain,
( ( sum @ n15 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8132,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl670_8133,plain,
( ( sum @ n19 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_8134,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8135,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8136,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8137,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_8138,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26246,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n20 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26184,zip_derived_cl49,zip_derived_cl550,zip_derived_cl18,zip_derived_cl670,zip_derived_cl224,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl104]) ).
thf('838',plain,
( ( sk_ != n16 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26246]) ).
thf(zip_derived_cl608_8139,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_8140,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8141,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18379,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_cl1538,zip_derived_cl18362]) ).
thf(zip_derived_cl49_8142,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8143,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8144,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8145,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18442,plain,
( ( ( sum @ ( sum @ n15 @ n2 ) @ ( sum @ n0 @ n17 ) )
!= ( sum @ ( sum @ n15 @ n17 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18379,zip_derived_cl49,zip_derived_cl18,zip_derived_cl49,zip_derived_cl18]) ).
thf(zip_derived_cl531_8146,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_8147,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8148,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_8149,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25305,plain,
( ( ( sum @ n17 @ n17 )
!= n3 )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18442,zip_derived_cl531,zip_derived_cl81,zip_derived_cl546,zip_derived_cl97]) ).
thf(zip_derived_cl25608,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n1 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl25305]) ).
thf('839',plain,
( ( sk_ != n16 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25608]) ).
thf(zip_derived_cl1538_8150,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_8151,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25374,plain,
( ( ( sum @ ( sum @ ( pred @ n16 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n16 ) ) )
!= ( sum @ ( sum @ ( pred @ n16 ) @ ( succ @ n16 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1538,zip_derived_cl25355]) ).
thf(zip_derived_cl49_8152,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547_8153,plain,
( ( sum @ n15 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8154,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577_8155,plain,
( ( sum @ n16 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_8156,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl49_8157,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18_8158,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_8159,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_8160,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25436,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n17 )
& ( sk_ = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25374,zip_derived_cl49,zip_derived_cl547,zip_derived_cl18,zip_derived_cl577,zip_derived_cl128,zip_derived_cl49,zip_derived_cl18,zip_derived_cl546,zip_derived_cl98]) ).
thf('840',plain,
( ( sk_ != n16 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25436]) ).
thf(zip_derived_cl1023_8161,plain,
( ( sum @ n30 @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_8162,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8163,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28747,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl28682]) ).
thf(zip_derived_cl33_8164,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8165,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl902_8166,plain,
( ( sum @ n27 @ n1 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_8167,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8168,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28809,plain,
( ( ( sum @ ( sum @ n30 @ n29 ) @ n28 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28747,zip_derived_cl33,zip_derived_cl2,zip_derived_cl902,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29973,plain,
( ( ( sum @ n28 @ n28 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1023,zip_derived_cl28809]) ).
thf(zip_derived_cl960_8169,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_8170,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_8171,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29974,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n28 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29973,zip_derived_cl960,zip_derived_cl995,zip_derived_cl89]) ).
thf('841',plain,
( ( sk_ != n0 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29974]) ).
thf(zip_derived_cl1019_8172,plain,
( ( sum @ n30 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8173,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8174,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28762,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl28682]) ).
thf(zip_derived_cl48_8175,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527_8176,plain,
( ( sum @ n14 @ n29 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8177,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl917_8178,plain,
( ( sum @ n27 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_8179,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8180,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8181,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8182,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28835,plain,
( ( n24
!= ( sum @ n30 @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28762,zip_derived_cl48,zip_derived_cl527,zip_derived_cl17,zip_derived_cl917,zip_derived_cl448,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29932,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n28 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1019,zip_derived_cl28835]) ).
thf('842',plain,
( ( sk__1 != n28 )
| ( sk_ != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29932]) ).
thf(zip_derived_cl1548_8183,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8184,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28773,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl28682]) ).
thf(zip_derived_cl59_8185,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl868_8186,plain,
( ( sum @ n25 @ n29 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8187,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl928_8188,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_8189,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_8190,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8191,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_8192,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl740_8193,plain,
( ( sum @ n21 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28856,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n28 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28773,zip_derived_cl59,zip_derived_cl868,zip_derived_cl28,zip_derived_cl928,zip_derived_cl800,zip_derived_cl59,zip_derived_cl28,zip_derived_cl866,zip_derived_cl740]) ).
thf('843',plain,
( ( sk__1 != n28 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28856]) ).
thf(zip_derived_cl1547_8194,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8195,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28772,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl28682]) ).
thf(zip_derived_cl58_8196,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl837_8197,plain,
( ( sum @ n24 @ n29 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8198,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl927_8199,plain,
( ( sum @ n27 @ n26 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_8200,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_8201,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8202,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_8203,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_8204,plain,
( ( sum @ n19 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28854,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n28 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28772,zip_derived_cl58,zip_derived_cl837,zip_derived_cl27,zip_derived_cl927,zip_derived_cl768,zip_derived_cl58,zip_derived_cl27,zip_derived_cl834,zip_derived_cl678]) ).
thf('844',plain,
( ( sk__1 != n28 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28854]) ).
thf(zip_derived_cl1546_8205,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8206,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28771,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl28682]) ).
thf(zip_derived_cl57_8207,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl806_8208,plain,
( ( sum @ n23 @ n29 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8209,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl926_8210,plain,
( ( sum @ n27 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_8211,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_8212,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8213,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_8214,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616_8215,plain,
( ( sum @ n17 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28852,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n28 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28771,zip_derived_cl57,zip_derived_cl806,zip_derived_cl26,zip_derived_cl926,zip_derived_cl736,zip_derived_cl57,zip_derived_cl26,zip_derived_cl802,zip_derived_cl616]) ).
thf('845',plain,
( ( sk_ != n24 )
| ( sk__1 != n28 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28852]) ).
thf(zip_derived_cl1545_8216,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8217,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28770,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl28682]) ).
thf(zip_derived_cl56_8218,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl775_8219,plain,
( ( sum @ n22 @ n29 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8220,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl925_8221,plain,
( ( sum @ n27 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_8222,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_8223,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8224,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_8225,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554_8226,plain,
( ( sum @ n15 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28850,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n28 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28770,zip_derived_cl56,zip_derived_cl775,zip_derived_cl25,zip_derived_cl925,zip_derived_cl704,zip_derived_cl56,zip_derived_cl25,zip_derived_cl770,zip_derived_cl554]) ).
thf('846',plain,
( ( sk__1 != n28 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28850]) ).
thf(zip_derived_cl1544_8227,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8228,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28769,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl28682]) ).
thf(zip_derived_cl55_8229,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744_8230,plain,
( ( sum @ n21 @ n29 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8231,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl924_8232,plain,
( ( sum @ n27 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_8233,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8234,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8235,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8236,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_8237,plain,
( ( sum @ n13 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28848,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n28 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28769,zip_derived_cl55,zip_derived_cl744,zip_derived_cl24,zip_derived_cl924,zip_derived_cl672,zip_derived_cl55,zip_derived_cl24,zip_derived_cl738,zip_derived_cl492]) ).
thf('847',plain,
( ( sk__1 != n28 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28848]) ).
thf(zip_derived_cl1543_8238,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8239,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28768,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl28682]) ).
thf(zip_derived_cl54_8240,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713_8241,plain,
( ( sum @ n20 @ n29 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8242,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl923_8243,plain,
( ( sum @ n27 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_8244,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8245,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8246,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8247,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_8248,plain,
( ( sum @ n11 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28846,plain,
( ( n5 != n5 )
<= ( ( sk__1 = n28 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28768,zip_derived_cl54,zip_derived_cl713,zip_derived_cl23,zip_derived_cl923,zip_derived_cl640,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl430]) ).
thf('848',plain,
( ( sk__1 != n28 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28846]) ).
thf(zip_derived_cl1542_8249,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8250,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28767,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl28682]) ).
thf(zip_derived_cl53_8251,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682_8252,plain,
( ( sum @ n19 @ n29 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8253,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl922_8254,plain,
( ( sum @ n27 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_8255,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_8256,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8257,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_8258,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_8259,plain,
( ( sum @ n9 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28844,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n28 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28767,zip_derived_cl53,zip_derived_cl682,zip_derived_cl22,zip_derived_cl922,zip_derived_cl608,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl368]) ).
thf('849',plain,
( ( sk__1 != n28 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28844]) ).
thf(zip_derived_cl1541_8260,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8261,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28766,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl28682]) ).
thf(zip_derived_cl52_8262,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651_8263,plain,
( ( sum @ n18 @ n29 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8264,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl921_8265,plain,
( ( sum @ n27 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_8266,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8267,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8268,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8269,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306_8270,plain,
( ( sum @ n7 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28842,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n28 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28766,zip_derived_cl52,zip_derived_cl651,zip_derived_cl21,zip_derived_cl921,zip_derived_cl576,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl306]) ).
thf('850',plain,
( ( sk__1 != n28 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28842]) ).
thf(zip_derived_cl1530_8271,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl28682_8272,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n29 ) @ ( sum @ n27 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n25 ) )
<= ( sk__1 = n28 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl17584]) ).
thf(zip_derived_cl28755,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n29 ) @ ( sum @ n27 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n25 ) )
<= ( ( sk__1 = n28 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl28682]) ).
thf(zip_derived_cl41_8273,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_8274,plain,
( ( sum @ n7 @ n29 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8275,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl910_8276,plain,
( ( sum @ n27 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_8277,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_8278,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8279,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_8280,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585_8281,plain,
( ( sum @ n16 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28822,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n28 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28755,zip_derived_cl41,zip_derived_cl310,zip_derived_cl10,zip_derived_cl910,zip_derived_cl224,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl585]) ).
thf('851',plain,
( ( sk__1 != n28 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28822]) ).
thf(zip_derived_cl1022_8282,plain,
( ( sum @ n30 @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8283,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_8284,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24691,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl24673]) ).
thf(zip_derived_cl48_8285,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8286,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8287,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8288,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24754,plain,
( ( ( sum @ ( sum @ n14 @ n15 ) @ ( sum @ n13 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24691,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl513_8289,plain,
( ( sum @ n14 @ n15 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483_8290,plain,
( ( sum @ n13 @ n16 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8291,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27240,plain,
( ( ( sum @ n29 @ n29 )
!= ( sum @ n30 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24754,zip_derived_cl513,zip_derived_cl483,zip_derived_cl514]) ).
thf(zip_derived_cl29961,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1022,zip_derived_cl27240]) ).
thf(zip_derived_cl992_8292,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29963,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n14 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29961,zip_derived_cl992]) ).
thf('852',plain,
( ( sk_ != n15 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29963]) ).
thf(zip_derived_cl1020_8293,plain,
( ( sum @ n30 @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8294,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_8295,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24425,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl24407]) ).
thf(zip_derived_cl48_8296,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8297,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8298,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8299,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24488,plain,
( ( ( sum @ ( sum @ n14 @ n14 ) @ ( sum @ n12 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24425,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl512_8300,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_8301,plain,
( ( sum @ n12 @ n16 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8302,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27197,plain,
( ( ( sum @ n28 @ n28 )
!= ( sum @ n30 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24488,zip_derived_cl512,zip_derived_cl452,zip_derived_cl514]) ).
thf(zip_derived_cl29940,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1020,zip_derived_cl27197]) ).
thf(zip_derived_cl960_8303,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29942,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n13 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29940,zip_derived_cl960]) ).
thf('853',plain,
( ( sk_ != n15 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29942]) ).
thf(zip_derived_cl1010_8304,plain,
( ( sum @ n30 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8305,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8306,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22878,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_cl1537,zip_derived_cl22862]) ).
thf(zip_derived_cl48_8307,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8308,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8309,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8310,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22941,plain,
( ( ( sum @ ( sum @ n14 @ n9 ) @ ( sum @ n7 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22878,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl507_8311,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8312,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26362,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n30 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22941,zip_derived_cl507,zip_derived_cl297,zip_derived_cl514]) ).
thf(zip_derived_cl29836,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl26362]) ).
thf(zip_derived_cl800_8313,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29839,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n8 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29836,zip_derived_cl800]) ).
thf('854',plain,
( ( sk_ != n15 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29839]) ).
thf(zip_derived_cl1008_8314,plain,
( ( sum @ n30 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8315,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_8316,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22249,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_cl1537,zip_derived_cl22233]) ).
thf(zip_derived_cl48_8317,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8318,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8319,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8320,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22312,plain,
( ( ( sum @ ( sum @ n14 @ n8 ) @ ( sum @ n6 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22249,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl506_8321,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_8322,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8323,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26306,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n30 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22312,zip_derived_cl506,zip_derived_cl266,zip_derived_cl514]) ).
thf(zip_derived_cl29815,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl26306]) ).
thf(zip_derived_cl768_8324,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29818,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n7 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29815,zip_derived_cl768]) ).
thf('855',plain,
( ( sk_ != n15 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29818]) ).
thf(zip_derived_cl1007_8325,plain,
( ( sum @ n30 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8326,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8327,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26733,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl26692]) ).
thf(zip_derived_cl48_8328,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521_8329,plain,
( ( sum @ n14 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8330,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731,plain,
( ( sum @ n21 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_8331,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8332,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8333,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8334,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26797,plain,
( ( n12
!= ( sum @ n30 @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26733,zip_derived_cl48,zip_derived_cl521,zip_derived_cl17,zip_derived_cl731,zip_derived_cl256,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29806,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n22 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1007,zip_derived_cl26797]) ).
thf('856',plain,
( ( sk_ != n15 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29806]) ).
thf(zip_derived_cl1003_8335,plain,
( ( sum @ n30 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8336,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8337,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26183,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl26155]) ).
thf(zip_derived_cl48_8338,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519_8339,plain,
( ( sum @ n14 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8340,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl669,plain,
( ( sum @ n19 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_8341,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8342,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8343,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8344,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26245,plain,
( ( n8
!= ( sum @ n30 @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26183,zip_derived_cl48,zip_derived_cl519,zip_derived_cl17,zip_derived_cl669,zip_derived_cl192,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29768,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n20 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1003,zip_derived_cl26245]) ).
thf('857',plain,
( ( sk_ != n15 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29768]) ).
thf(zip_derived_cl1002_8345,plain,
( ( sum @ n30 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8346,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_8347,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20194,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_cl1537,zip_derived_cl20178]) ).
thf(zip_derived_cl48_8348,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8349,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8350,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8351,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20257,plain,
( ( ( sum @ ( sum @ n14 @ n5 ) @ ( sum @ n3 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20194,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl503_8352,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_8353,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8354,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25805,plain,
( ( ( sum @ n19 @ n19 )
!= ( sum @ n30 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20257,zip_derived_cl503,zip_derived_cl173,zip_derived_cl514]) ).
thf(zip_derived_cl29762,plain,
( ( ( sum @ n19 @ n19 )
!= n7 )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1002,zip_derived_cl25805]) ).
thf(zip_derived_cl672_8355,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29765,plain,
( ( n7 != n7 )
<= ( ( sk__1 = n4 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29762,zip_derived_cl672]) ).
thf('858',plain,
( ( sk_ != n15 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29765]) ).
thf(zip_derived_cl997_8356,plain,
( ( sum @ n30 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8357,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_8358,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25373,plain,
( ( ( sum @ ( sum @ ( pred @ n15 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n15 ) ) )
!= ( sum @ ( sum @ ( pred @ n15 ) @ ( succ @ n15 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl25355]) ).
thf(zip_derived_cl48_8359,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516_8360,plain,
( ( sum @ n14 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8361,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_8362,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_8363,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8364,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8365,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8366,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25435,plain,
( ( n2
!= ( sum @ n30 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25373,zip_derived_cl48,zip_derived_cl516,zip_derived_cl17,zip_derived_cl576,zip_derived_cl96,zip_derived_cl48,zip_derived_cl17,zip_derived_cl514]) ).
thf(zip_derived_cl29735,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n17 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl997,zip_derived_cl25435]) ).
thf('859',plain,
( ( sk_ != n15 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29735]) ).
thf(zip_derived_cl996_8367,plain,
( ( sum @ n30 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_8368,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8369,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18378,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_cl1537,zip_derived_cl18362]) ).
thf(zip_derived_cl48_8370,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8371,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl48_8372,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8373,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18441,plain,
( ( ( sum @ ( sum @ n14 @ n2 ) @ ( sum @ n0 @ n16 ) )
!= ( sum @ ( sum @ n14 @ n16 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18378,zip_derived_cl48,zip_derived_cl17,zip_derived_cl48,zip_derived_cl17]) ).
thf(zip_derived_cl500_8374,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_8375,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_8376,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25304,plain,
( ( ( sum @ n16 @ n16 )
!= ( sum @ n30 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18441,zip_derived_cl500,zip_derived_cl80,zip_derived_cl514]) ).
thf(zip_derived_cl29599,plain,
( ( ( sum @ n16 @ n16 )
!= n1 )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl996,zip_derived_cl25304]) ).
thf(zip_derived_cl576_8377,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29603,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n1 )
& ( sk_ = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29599,zip_derived_cl576]) ).
thf('860',plain,
( ( sk_ != n15 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29603]) ).
thf(zip_derived_cl1537_8378,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl5341_8379,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_cl1699,zip_derived_cl17,zip_derived_cl17]) ).
thf(zip_derived_cl5357,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_cl1537,zip_derived_cl5341]) ).
thf(zip_derived_cl17_8380,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17_8381,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5419,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_cl5357,zip_derived_cl17,zip_derived_cl17]) ).
thf('861',plain,
( ( sk_ != n15 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5419]) ).
thf(zip_derived_cl1015_8382,plain,
( ( sum @ n30 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_8383,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8384,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26168,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl26155]) ).
thf(zip_derived_cl33_8385,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8386,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654_8387,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_8388,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8389,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26230,plain,
( ( ( sum @ ( sum @ n30 @ n21 ) @ n20 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26168,zip_derived_cl33,zip_derived_cl2,zip_derived_cl654,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29889,plain,
( ( ( sum @ n20 @ n20 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1015,zip_derived_cl26230]) ).
thf(zip_derived_cl704_8390,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_8391,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_8392,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29891,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n20 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29889,zip_derived_cl704,zip_derived_cl995,zip_derived_cl73]) ).
thf('862',plain,
( ( sk_ != n0 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29891]) ).
thf(zip_derived_cl960_8393,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_8394,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8395,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26176,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl26155]) ).
thf(zip_derived_cl41_8396,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_8397,plain,
( ( sum @ n7 @ n21 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8398,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662,plain,
( ( sum @ n19 @ n9 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_8399,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8400,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_8401,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_8402,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26238,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n20 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26176,zip_derived_cl41,zip_derived_cl302,zip_derived_cl10,zip_derived_cl662,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl569]) ).
thf(zip_derived_cl29007,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n20 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26238]) ).
thf('863',plain,
( ( sk__1 != n20 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29007]) ).
thf(zip_derived_cl1548_8403,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8404,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26194,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl26155]) ).
thf(zip_derived_cl59_8405,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8406,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_8407,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8408,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26261,plain,
( ( ( sum @ ( sum @ n25 @ n21 ) @ ( sum @ n19 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26194,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl860_8409,plain,
( ( sum @ n25 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680_8410,plain,
( ( sum @ n19 @ n27 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_8411,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_8412,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724,plain,
( ( sum @ n21 @ n9 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28594,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n20 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26261,zip_derived_cl860,zip_derived_cl680,zip_derived_cl544,zip_derived_cl866,zip_derived_cl724]) ).
thf('864',plain,
( ( sk__1 != n20 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28594]) ).
thf(zip_derived_cl1547_8413,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8414,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26193,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl26155]) ).
thf(zip_derived_cl58_8415,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8416,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_8417,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8418,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26260,plain,
( ( ( sum @ ( sum @ n24 @ n21 ) @ ( sum @ n19 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26193,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl829_8419,plain,
( ( sum @ n24 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679_8420,plain,
( ( sum @ n19 @ n26 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_8421,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_8422,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662_8423,plain,
( ( sum @ n19 @ n9 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28592,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n20 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26260,zip_derived_cl829,zip_derived_cl679,zip_derived_cl512,zip_derived_cl834,zip_derived_cl662]) ).
thf('865',plain,
( ( sk__1 != n20 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28592]) ).
thf(zip_derived_cl1546_8424,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8425,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26192,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl26155]) ).
thf(zip_derived_cl57_8426,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8427,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_8428,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8429,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26259,plain,
( ( ( sum @ ( sum @ n23 @ n21 ) @ ( sum @ n19 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26192,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl798_8430,plain,
( ( sum @ n23 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_8431,plain,
( ( sum @ n19 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_8432,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_8433,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600_8434,plain,
( ( sum @ n17 @ n9 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28590,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n20 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26259,zip_derived_cl798,zip_derived_cl678,zip_derived_cl480,zip_derived_cl802,zip_derived_cl600]) ).
thf('866',plain,
( ( sk_ != n24 )
| ( sk__1 != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28590]) ).
thf(zip_derived_cl1545_8435,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8436,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26191,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl26155]) ).
thf(zip_derived_cl56_8437,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8438,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_8439,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8440,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26258,plain,
( ( ( sum @ ( sum @ n22 @ n21 ) @ ( sum @ n19 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26191,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl767_8441,plain,
( ( sum @ n22 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_8442,plain,
( ( sum @ n19 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_8443,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_8444,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538_8445,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28588,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n20 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26258,zip_derived_cl767,zip_derived_cl677,zip_derived_cl448,zip_derived_cl770,zip_derived_cl538]) ).
thf('867',plain,
( ( sk__1 != n20 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28588]) ).
thf(zip_derived_cl1544_8446,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8447,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26190,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl26155]) ).
thf(zip_derived_cl55_8448,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8449,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8450,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8451,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26257,plain,
( ( ( sum @ ( sum @ n21 @ n21 ) @ ( sum @ n19 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26190,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl736_8452,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl676_8453,plain,
( ( sum @ n19 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_8454,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8455,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_8456,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28586,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n20 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26257,zip_derived_cl736,zip_derived_cl676,zip_derived_cl416,zip_derived_cl738,zip_derived_cl476]) ).
thf('868',plain,
( ( sk__1 != n20 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28586]) ).
thf(zip_derived_cl1543_8457,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8458,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26189,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl26155]) ).
thf(zip_derived_cl54_8459,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8460,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8461,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8462,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26256,plain,
( ( ( sum @ ( sum @ n20 @ n21 ) @ ( sum @ n19 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26189,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl705_8463,plain,
( ( sum @ n20 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675_8464,plain,
( ( sum @ n19 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_8465,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8466,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_8467,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28584,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n20 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26256,zip_derived_cl705,zip_derived_cl675,zip_derived_cl384,zip_derived_cl706,zip_derived_cl414]) ).
thf('869',plain,
( ( sk__1 != n20 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28584]) ).
thf(zip_derived_cl1541_8468,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26155_8469,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n21 ) @ ( sum @ n19 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n9 ) )
<= ( sk__1 = n20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl14620]) ).
thf(zip_derived_cl26187,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n21 ) @ ( sum @ n19 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n9 ) )
<= ( ( sk__1 = n20 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl26155]) ).
thf(zip_derived_cl52_8470,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643_8471,plain,
( ( sum @ n18 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8472,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl673_8473,plain,
( ( sum @ n19 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_8474,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8475,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8476,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8477,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_8478,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26252,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n20 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26187,zip_derived_cl52,zip_derived_cl643,zip_derived_cl21,zip_derived_cl673,zip_derived_cl320,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl290]) ).
thf('870',plain,
( ( sk__1 != n20 )
| ( sk_ != n19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26252]) ).
thf(zip_derived_cl1542_8479,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl6068_8480,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_cl1803,zip_derived_cl22,zip_derived_cl22]) ).
thf(zip_derived_cl6089,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_cl1542,zip_derived_cl6068]) ).
thf(zip_derived_cl22_8481,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8482,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6151,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_cl6089,zip_derived_cl22,zip_derived_cl22]) ).
thf('871',plain,
( ( sk__1 != n20 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6151]) ).
thf(zip_derived_cl928_8483,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_8484,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8485,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22882,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_cl1541,zip_derived_cl22862]) ).
thf(zip_derived_cl52_8486,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8487,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8488,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8489,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22945,plain,
( ( ( sum @ ( sum @ n18 @ n9 ) @ ( sum @ n7 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22882,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl631_8490,plain,
( ( sum @ n18 @ n9 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_8491,plain,
( ( sum @ n7 @ n20 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8492,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_8493,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26368,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22945,zip_derived_cl631,zip_derived_cl301,zip_derived_cl642,zip_derived_cl297]) ).
thf(zip_derived_cl28637,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n8 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26368]) ).
thf('872',plain,
( ( sk_ != n19 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28637]) ).
thf(zip_derived_cl896_8494,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_8495,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_8496,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22253,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_cl1541,zip_derived_cl22233]) ).
thf(zip_derived_cl52_8497,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8498,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8499,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8500,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22316,plain,
( ( ( sum @ ( sum @ n18 @ n8 ) @ ( sum @ n6 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22253,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl630_8501,plain,
( ( sum @ n18 @ n8 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_8502,plain,
( ( sum @ n6 @ n20 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8503,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_8504,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26310,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22316,zip_derived_cl630,zip_derived_cl270,zip_derived_cl642,zip_derived_cl295]) ).
thf(zip_derived_cl28287,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n7 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26310]) ).
thf('873',plain,
( ( sk_ != n19 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28287]) ).
thf(zip_derived_cl1541_8505,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_8506,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25377,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl25355]) ).
thf(zip_derived_cl52_8507,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8508,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8509,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8510,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25441,plain,
( ( ( sum @ ( sum @ n18 @ n18 ) @ ( sum @ n16 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25377,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl640_8511,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580_8512,plain,
( ( sum @ n16 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_8513,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8514,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_8515,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27890,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n17 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25441,zip_derived_cl640,zip_derived_cl580,zip_derived_cl224,zip_derived_cl642,zip_derived_cl284]) ).
thf('874',plain,
( ( sk_ != n19 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27890]) ).
thf(zip_derived_cl1541_8516,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_8517,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24958,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl24936]) ).
thf(zip_derived_cl52_8518,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8519,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8520,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8521,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25021,plain,
( ( ( sum @ ( sum @ n18 @ n16 ) @ ( sum @ n14 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24958,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl638_8522,plain,
( ( sum @ n18 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518_8523,plain,
( ( sum @ n14 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_8524,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8525,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_8526,plain,
( ( sum @ n7 @ n30 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27553,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n15 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25021,zip_derived_cl638,zip_derived_cl518,zip_derived_cl160,zip_derived_cl642,zip_derived_cl311]) ).
thf('875',plain,
( ( sk_ != n19 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27553]) ).
thf(zip_derived_cl800_8527,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8528,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_8529,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_8530,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20198,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_cl1541,zip_derived_cl20178]) ).
thf(zip_derived_cl52_8531,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8532,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8533,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8534,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20261,plain,
( ( ( sum @ ( sum @ n18 @ n5 ) @ ( sum @ n3 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20198,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl627_8535,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_8536,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25809,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20261,zip_derived_cl627,zip_derived_cl177]) ).
thf(zip_derived_cl25893,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n7 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl25809]) ).
thf(zip_derived_cl289_8537,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25897,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25893,zip_derived_cl289]) ).
thf(zip_derived_cl27263,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n4 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl25897]) ).
thf('876',plain,
( ( sk_ != n19 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27263]) ).
thf(zip_derived_cl1541_8538,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_8539,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24695,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl24673]) ).
thf(zip_derived_cl52_8540,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8541,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8542,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8543,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24758,plain,
( ( ( sum @ ( sum @ n18 @ n15 ) @ ( sum @ n13 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24695,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl637_8544,plain,
( ( sum @ n18 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487_8545,plain,
( ( sum @ n13 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_8546,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8547,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309_8548,plain,
( ( sum @ n7 @ n28 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27246,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n14 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24758,zip_derived_cl637,zip_derived_cl487,zip_derived_cl128,zip_derived_cl642,zip_derived_cl309]) ).
thf('877',plain,
( ( sk_ != n19 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27246]) ).
thf(zip_derived_cl1541_8549,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_8550,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24429,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl24407]) ).
thf(zip_derived_cl52_8551,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8552,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8553,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8554,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24492,plain,
( ( ( sum @ ( sum @ n18 @ n14 ) @ ( sum @ n12 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24429,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl636_8555,plain,
( ( sum @ n18 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456_8556,plain,
( ( sum @ n12 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_8557,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8558,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307_8559,plain,
( ( sum @ n7 @ n26 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27202,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n13 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24492,zip_derived_cl636,zip_derived_cl456,zip_derived_cl96,zip_derived_cl642,zip_derived_cl307]) ).
thf('878',plain,
( ( sk_ != n19 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27202]) ).
thf(zip_derived_cl1541_8560,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8561,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26737,plain,
( ( ( sum @ ( sum @ ( pred @ n19 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n19 ) ) )
!= ( sum @ ( sum @ ( pred @ n19 ) @ ( succ @ n19 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1541,zip_derived_cl26692]) ).
thf(zip_derived_cl52_8562,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645_8563,plain,
( ( sum @ n18 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8564,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_8565,plain,
( ( sum @ n21 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_8566,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8567,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8568,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8569,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_8570,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26804,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n22 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26737,zip_derived_cl52,zip_derived_cl645,zip_derived_cl21,zip_derived_cl735,zip_derived_cl384,zip_derived_cl52,zip_derived_cl21,zip_derived_cl642,zip_derived_cl294]) ).
thf('879',plain,
( ( sk_ != n19 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26804]) ).
thf(zip_derived_cl704_8571,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_8572,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_8573,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8574,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18382,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_cl1541,zip_derived_cl18362]) ).
thf(zip_derived_cl52_8575,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8576,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl52_8577,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl21_8578,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18445,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ ( sum @ n0 @ n20 ) )
!= ( sum @ ( sum @ n18 @ n20 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18382,zip_derived_cl52,zip_derived_cl21,zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl84_8579,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25308,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ n20 )
!= ( sum @ ( sum @ n18 @ n20 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18445,zip_derived_cl84]) ).
thf(zip_derived_cl25890,plain,
( ( ( sum @ ( sum @ n18 @ n2 ) @ n20 )
!= ( sum @ n7 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl642,zip_derived_cl25308]) ).
thf(zip_derived_cl624_8580,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_8581,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25894,plain,
( ( ( sum @ n20 @ n20 )
!= n9 )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25890,zip_derived_cl624,zip_derived_cl283]) ).
thf(zip_derived_cl26407,plain,
( ( n9 != n9 )
<= ( ( sk__1 = n1 )
& ( sk_ = n19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl704,zip_derived_cl25894]) ).
thf('880',plain,
( ( sk_ != n19 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26407]) ).
thf(zip_derived_cl1024_8582,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8583,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_8584,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8585,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22885,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_cl1544,zip_derived_cl22862]) ).
thf(zip_derived_cl55_8586,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8587,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8588,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8589,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22948,plain,
( ( ( sum @ ( sum @ n21 @ n9 ) @ ( sum @ n7 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22885,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl304_8590,plain,
( ( sum @ n7 @ n23 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26371,plain,
( ( ( sum @ ( sum @ n21 @ n9 ) @ n30 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22948,zip_derived_cl304]) ).
thf(zip_derived_cl26700,plain,
( ( ( sum @ ( sum @ n21 @ n9 ) @ n30 )
!= ( sum @ n13 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl26371]) ).
thf(zip_derived_cl724_8591,plain,
( ( sum @ n21 @ n9 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483_8592,plain,
( ( sum @ n13 @ n16 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26711,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26700,zip_derived_cl724,zip_derived_cl483]) ).
thf(zip_derived_cl29990,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n8 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl26711]) ).
thf('881',plain,
( ( sk__1 != n8 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29990]) ).
thf(zip_derived_cl1003_8593,plain,
( ( sum @ n30 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_8594,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8595,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22863,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_cl1522,zip_derived_cl22862]) ).
thf(zip_derived_cl33_8596,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8597,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_8598,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_8599,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8600,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22925,plain,
( ( ( sum @ ( sum @ n30 @ n9 ) @ n8 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22863,zip_derived_cl33,zip_derived_cl2,zip_derived_cl282,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29767,plain,
( ( ( sum @ n8 @ n8 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1003,zip_derived_cl22925]) ).
thf(zip_derived_cl320_8601,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_8602,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_8603,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29769,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n8 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29767,zip_derived_cl320,zip_derived_cl995,zip_derived_cl80]) ).
thf('882',plain,
( ( sk_ != n0 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29769]) ).
thf(zip_derived_cl992_8604,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8605,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_8606,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8607,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22884,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_cl1543,zip_derived_cl22862]) ).
thf(zip_derived_cl54_8608,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8609,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8610,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8611,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22947,plain,
( ( ( sum @ ( sum @ n20 @ n9 ) @ ( sum @ n7 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22884,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl693_8612,plain,
( ( sum @ n20 @ n9 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_8613,plain,
( ( sum @ n7 @ n22 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26370,plain,
( ( ( sum @ n29 @ n29 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22947,zip_derived_cl693,zip_derived_cl303]) ).
thf(zip_derived_cl26433,plain,
( ( ( sum @ n29 @ n29 )
!= ( sum @ n11 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl26370]) ).
thf(zip_derived_cl421_8614,plain,
( ( sum @ n11 @ n16 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26442,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26433,zip_derived_cl421]) ).
thf(zip_derived_cl29537,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n8 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26442]) ).
thf('883',plain,
( ( sk__1 != n8 )
| ( sk_ != n21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29537]) ).
thf(zip_derived_cl960_8615,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_8616,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8617,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22883,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_cl1542,zip_derived_cl22862]) ).
thf(zip_derived_cl53_8618,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8619,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_8620,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8621,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22946,plain,
( ( ( sum @ ( sum @ n19 @ n9 ) @ ( sum @ n7 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22883,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl662_8622,plain,
( ( sum @ n19 @ n9 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_8623,plain,
( ( sum @ n7 @ n21 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_8624,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_8625,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26369,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22946,zip_derived_cl662,zip_derived_cl302,zip_derived_cl674,zip_derived_cl359]) ).
thf(zip_derived_cl29008,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n8 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26369]) ).
thf('884',plain,
( ( sk__1 != n8 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29008]) ).
thf(zip_derived_cl866_8626,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_8627,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8628,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22889,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n9 ) @ ( sum @ n7 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl22862]) ).
thf(zip_derived_cl59_8629,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8630,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_8631,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8632,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22952,plain,
( ( ( sum @ ( sum @ n25 @ n9 ) @ ( sum @ n7 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22889,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl308_8633,plain,
( ( sum @ n7 @ n27 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26377,plain,
( ( ( sum @ ( sum @ n25 @ n9 ) @ n3 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22952,zip_derived_cl308]) ).
thf(zip_derived_cl27979,plain,
( ( ( sum @ ( sum @ n25 @ n9 ) @ n3 )
!= ( sum @ n21 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl26377]) ).
thf(zip_derived_cl848_8634,plain,
( ( sum @ n25 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_8635,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_8636,plain,
( ( sum @ n21 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28000,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n8 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27979,zip_derived_cl848,zip_derived_cl160,zip_derived_cl731]) ).
thf('885',plain,
( ( sk__1 != n8 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28000]) ).
thf(zip_derived_cl834_8637,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_8638,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8639,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22888,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_cl1547,zip_derived_cl22862]) ).
thf(zip_derived_cl58_8640,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8641,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_8642,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8643,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22951,plain,
( ( ( sum @ ( sum @ n24 @ n9 ) @ ( sum @ n7 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22888,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl307_8644,plain,
( ( sum @ n7 @ n26 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26374,plain,
( ( ( sum @ ( sum @ n24 @ n9 ) @ n2 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22951,zip_derived_cl307]) ).
thf(zip_derived_cl27640,plain,
( ( ( sum @ ( sum @ n24 @ n9 ) @ n2 )
!= ( sum @ n19 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl26374]) ).
thf(zip_derived_cl817_8645,plain,
( ( sum @ n24 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_8646,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl669_8647,plain,
( ( sum @ n19 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27658,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n8 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27640,zip_derived_cl817,zip_derived_cl128,zip_derived_cl669]) ).
thf('886',plain,
( ( sk__1 != n8 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27658]) ).
thf(zip_derived_cl802_8648,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_8649,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8650,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22887,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_cl1546,zip_derived_cl22862]) ).
thf(zip_derived_cl57_8651,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8652,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_8653,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8654,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22950,plain,
( ( ( sum @ ( sum @ n23 @ n9 ) @ ( sum @ n7 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22887,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl306_8655,plain,
( ( sum @ n7 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26373,plain,
( ( ( sum @ ( sum @ n23 @ n9 ) @ n1 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22950,zip_derived_cl306]) ).
thf(zip_derived_cl27304,plain,
( ( ( sum @ ( sum @ n23 @ n9 ) @ n1 )
!= ( sum @ n17 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl26373]) ).
thf(zip_derived_cl786_8656,plain,
( ( sum @ n23 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_8657,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl607_8658,plain,
( ( sum @ n17 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27318,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n8 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27304,zip_derived_cl786,zip_derived_cl96,zip_derived_cl607]) ).
thf('887',plain,
( ( sk_ != n24 )
| ( sk__1 != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27318]) ).
thf(zip_derived_cl770_8659,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_8660,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22862_8661,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_cl290,zip_derived_cl9972]) ).
thf(zip_derived_cl22886,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_cl1545,zip_derived_cl22862]) ).
thf(zip_derived_cl56_8662,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8663,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_8664,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8665,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22949,plain,
( ( ( sum @ ( sum @ n22 @ n9 ) @ ( sum @ n7 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22886,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl305_8666,plain,
( ( sum @ n7 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26372,plain,
( ( ( sum @ ( sum @ n22 @ n9 ) @ n0 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22949,zip_derived_cl305]) ).
thf(zip_derived_cl26997,plain,
( ( ( sum @ ( sum @ n22 @ n9 ) @ n0 )
!= ( sum @ n15 @ n16 ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl26372]) ).
thf(zip_derived_cl755_8667,plain,
( ( sum @ n22 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_8668,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545_8669,plain,
( ( sum @ n15 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27008,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n8 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26997,zip_derived_cl755,zip_derived_cl64,zip_derived_cl545]) ).
thf('888',plain,
( ( sk__1 != n8 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27008]) ).
thf(zip_derived_cl1499_8670,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1530_8671,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl0_8672,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_cl2186,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl0]) ).
thf(zip_derived_cl10_8673,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8674,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2196,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ sk__1 ) ) @ ( sum @ ( pred @ sk__1 ) @ n9 ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ n9 ) @ ( sum @ ( pred @ sk__1 ) @ ( succ @ sk__1 ) ) ) )
<= ( sk_ = n8 ) ),
inference(demod,[status(thm)],[zip_derived_cl2186,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl3534,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ ( sum @ ( pred @ n8 ) @ n9 ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ n9 ) @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) ) )
<= ( ( sk__1 = n8 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1499,zip_derived_cl2196]) ).
thf(zip_derived_cl10_8675,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8676,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3596,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_cl3534,zip_derived_cl10,zip_derived_cl10]) ).
thf('889',plain,
( ( sk__1 != n8 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3596]) ).
thf(zip_derived_cl960_8677,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8678,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_8679,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_8680,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22255,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_cl1543,zip_derived_cl22233]) ).
thf(zip_derived_cl54_8681,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8682,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8683,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8684,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22318,plain,
( ( ( sum @ ( sum @ n20 @ n8 ) @ ( sum @ n6 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22255,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl272_8685,plain,
( ( sum @ n6 @ n22 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26314,plain,
( ( ( sum @ ( sum @ n20 @ n8 ) @ n28 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22318,zip_derived_cl272]) ).
thf(zip_derived_cl26431,plain,
( ( ( sum @ ( sum @ n20 @ n8 ) @ n28 )
!= ( sum @ n11 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl26314]) ).
thf(zip_derived_cl692_8686,plain,
( ( sum @ n20 @ n8 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_8687,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26440,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26431,zip_derived_cl692,zip_derived_cl419]) ).
thf(zip_derived_cl29009,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n7 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl26440]) ).
thf('890',plain,
( ( sk_ != n21 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29009]) ).
thf(zip_derived_cl864_8688,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8689,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_8690,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_8691,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20200,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_cl1543,zip_derived_cl20178]) ).
thf(zip_derived_cl54_8692,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8693,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8694,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8695,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20263,plain,
( ( ( sum @ ( sum @ n20 @ n5 ) @ ( sum @ n3 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20200,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl179_8696,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25811,plain,
( ( ( sum @ ( sum @ n20 @ n5 ) @ n25 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20263,zip_derived_cl179]) ).
thf(zip_derived_cl26428,plain,
( ( ( sum @ ( sum @ n20 @ n5 ) @ n25 )
!= ( sum @ n11 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl25811]) ).
thf(zip_derived_cl689_8697,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_8698,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26437,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26428,zip_derived_cl689,zip_derived_cl413]) ).
thf(zip_derived_cl27937,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n4 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl26437]) ).
thf('891',plain,
( ( sk_ != n21 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27937]) ).
thf(zip_derived_cl1543_8699,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_8700,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25379,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl25355]) ).
thf(zip_derived_cl54_8701,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8702,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8703,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8704,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25443,plain,
( ( ( sum @ ( sum @ n20 @ n18 ) @ ( sum @ n16 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25379,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl702_8705,plain,
( ( sum @ n20 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582_8706,plain,
( ( sum @ n16 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_8707,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8708,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_8709,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27894,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n17 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25443,zip_derived_cl702,zip_derived_cl582,zip_derived_cl288,zip_derived_cl706,zip_derived_cl408]) ).
thf('892',plain,
( ( sk_ != n21 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27894]) ).
thf(zip_derived_cl1543_8710,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_8711,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24960,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl24936]) ).
thf(zip_derived_cl54_8712,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8713,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8714,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8715,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25023,plain,
( ( ( sum @ ( sum @ n20 @ n16 ) @ ( sum @ n14 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24960,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl700_8716,plain,
( ( sum @ n20 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520_8717,plain,
( ( sum @ n14 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_8718,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8719,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_8720,plain,
( ( sum @ n11 @ n30 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27560,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n15 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25023,zip_derived_cl700,zip_derived_cl520,zip_derived_cl224,zip_derived_cl706,zip_derived_cl435]) ).
thf('893',plain,
( ( sk_ != n21 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27560]) ).
thf(zip_derived_cl1543_8721,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_8722,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24697,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl24673]) ).
thf(zip_derived_cl54_8723,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8724,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8725,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8726,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24760,plain,
( ( ( sum @ ( sum @ n20 @ n15 ) @ ( sum @ n13 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24697,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl699_8727,plain,
( ( sum @ n20 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489_8728,plain,
( ( sum @ n13 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_8729,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8730,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_8731,plain,
( ( sum @ n11 @ n28 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27250,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n14 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24760,zip_derived_cl699,zip_derived_cl489,zip_derived_cl192,zip_derived_cl706,zip_derived_cl433]) ).
thf('894',plain,
( ( sk_ != n21 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27250]) ).
thf(zip_derived_cl1543_8732,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_8733,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24431,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl24407]) ).
thf(zip_derived_cl54_8734,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8735,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8736,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8737,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24494,plain,
( ( ( sum @ ( sum @ n20 @ n14 ) @ ( sum @ n12 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24431,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl698_8738,plain,
( ( sum @ n20 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458_8739,plain,
( ( sum @ n12 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_8740,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8741,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_8742,plain,
( ( sum @ n11 @ n26 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27206,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n13 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24494,zip_derived_cl698,zip_derived_cl458,zip_derived_cl160,zip_derived_cl706,zip_derived_cl431]) ).
thf('895',plain,
( ( sk_ != n21 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27206]) ).
thf(zip_derived_cl768_8743,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8744,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_8745,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8746,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18384,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_cl1543,zip_derived_cl18362]) ).
thf(zip_derived_cl54_8747,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8748,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8749,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8750,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18447,plain,
( ( ( sum @ ( sum @ n20 @ n2 ) @ ( sum @ n0 @ n22 ) )
!= ( sum @ ( sum @ n20 @ n22 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18384,zip_derived_cl54,zip_derived_cl23,zip_derived_cl54,zip_derived_cl23]) ).
thf(zip_derived_cl86_8751,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25310,plain,
( ( ( sum @ ( sum @ n20 @ n2 ) @ n22 )
!= ( sum @ ( sum @ n20 @ n22 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18447,zip_derived_cl86]) ).
thf(zip_derived_cl26425,plain,
( ( ( sum @ ( sum @ n20 @ n2 ) @ n22 )
!= ( sum @ n11 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl706,zip_derived_cl25310]) ).
thf(zip_derived_cl686_8752,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_8753,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26434,plain,
( ( ( sum @ n22 @ n22 )
!= n13 )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26425,zip_derived_cl686,zip_derived_cl407]) ).
thf(zip_derived_cl26968,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n1 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl26434]) ).
thf('896',plain,
( ( sk_ != n21 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26968]) ).
thf(zip_derived_cl1543_8754,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8755,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26739,plain,
( ( ( sum @ ( sum @ ( pred @ n21 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n21 ) ) )
!= ( sum @ ( sum @ ( pred @ n21 ) @ ( succ @ n21 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1543,zip_derived_cl26692]) ).
thf(zip_derived_cl54_8756,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl707_8757,plain,
( ( sum @ n20 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8758,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_8759,plain,
( ( sum @ n21 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_8760,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_8761,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl23_8762,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_8763,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_8764,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26808,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n22 )
& ( sk_ = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26739,zip_derived_cl54,zip_derived_cl707,zip_derived_cl23,zip_derived_cl737,zip_derived_cl448,zip_derived_cl54,zip_derived_cl23,zip_derived_cl706,zip_derived_cl418]) ).
thf('897',plain,
( ( sk_ != n21 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26808]) ).
thf(zip_derived_cl996_8765,plain,
( ( sum @ n30 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_8766,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8767,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18363,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_cl1522,zip_derived_cl18362]) ).
thf(zip_derived_cl33_8768,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8769,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_8770,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_8771,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8772,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18425,plain,
( ( ( sum @ ( sum @ n30 @ n2 ) @ n1 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18363,zip_derived_cl33,zip_derived_cl2,zip_derived_cl65,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29598,plain,
( ( ( sum @ n1 @ n1 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl996,zip_derived_cl18425]) ).
thf(zip_derived_cl96_8773,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_8774,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_8775,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29601,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n1 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29598,zip_derived_cl96,zip_derived_cl995,zip_derived_cl66]) ).
thf('898',plain,
( ( sk_ != n0 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29601]) ).
thf(zip_derived_cl928_8776,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_8777,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_8778,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8779,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18389,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n2 ) @ ( sum @ n0 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl18362]) ).
thf(zip_derived_cl59_8780,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8781,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_8782,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8783,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18452,plain,
( ( ( sum @ ( sum @ n25 @ n2 ) @ ( sum @ n0 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18389,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl91_8784,plain,
( ( sum @ n0 @ n27 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25315,plain,
( ( ( sum @ ( sum @ n25 @ n2 ) @ n27 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18452,zip_derived_cl91]) ).
thf(zip_derived_cl27972,plain,
( ( ( sum @ ( sum @ n25 @ n2 ) @ n27 )
!= ( sum @ n21 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl25315]) ).
thf(zip_derived_cl841_8785,plain,
( ( sum @ n25 @ n2 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_8786,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27990,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n1 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27972,zip_derived_cl841,zip_derived_cl717]) ).
thf(zip_derived_cl28651,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n1 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl27990]) ).
thf('899',plain,
( ( sk__1 != n1 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28651]) ).
thf(zip_derived_cl896_8787,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_8788,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_8789,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8790,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18388,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_cl1547,zip_derived_cl18362]) ).
thf(zip_derived_cl58_8791,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8792,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_8793,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8794,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18451,plain,
( ( ( sum @ ( sum @ n24 @ n2 ) @ ( sum @ n0 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18388,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl90_8795,plain,
( ( sum @ n0 @ n26 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25314,plain,
( ( ( sum @ ( sum @ n24 @ n2 ) @ n26 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18451,zip_derived_cl90]) ).
thf(zip_derived_cl27633,plain,
( ( ( sum @ ( sum @ n24 @ n2 ) @ n26 )
!= ( sum @ n19 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl25314]) ).
thf(zip_derived_cl810_8796,plain,
( ( sum @ n24 @ n2 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl655_8797,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27649,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27633,zip_derived_cl810,zip_derived_cl655]) ).
thf(zip_derived_cl28299,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n1 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl27649]) ).
thf('900',plain,
( ( sk__1 != n1 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28299]) ).
thf(zip_derived_cl864_8798,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_8799,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_8800,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8801,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18387,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_cl1546,zip_derived_cl18362]) ).
thf(zip_derived_cl57_8802,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8803,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_8804,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8805,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18450,plain,
( ( ( sum @ ( sum @ n23 @ n2 ) @ ( sum @ n0 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18387,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl89_8806,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25313,plain,
( ( ( sum @ ( sum @ n23 @ n2 ) @ n25 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18450,zip_derived_cl89]) ).
thf(zip_derived_cl27297,plain,
( ( ( sum @ ( sum @ n23 @ n2 ) @ n25 )
!= ( sum @ n17 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl25313]) ).
thf(zip_derived_cl779_8807,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl593_8808,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27310,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27297,zip_derived_cl779,zip_derived_cl593]) ).
thf(zip_derived_cl27944,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n1 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl27310]) ).
thf('901',plain,
( ( sk_ != n24 )
| ( sk__1 != n1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27944]) ).
thf(zip_derived_cl832_8809,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_8810,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_8811,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8812,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18386,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_cl1545,zip_derived_cl18362]) ).
thf(zip_derived_cl56_8813,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8814,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_8815,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8816,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18449,plain,
( ( ( sum @ ( sum @ n22 @ n2 ) @ ( sum @ n0 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18386,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl88_8817,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25312,plain,
( ( ( sum @ ( sum @ n22 @ n2 ) @ n24 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18449,zip_derived_cl88]) ).
thf(zip_derived_cl26990,plain,
( ( ( sum @ ( sum @ n22 @ n2 ) @ n24 )
!= ( sum @ n15 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl25312]) ).
thf(zip_derived_cl748_8818,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531_8819,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27001,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26990,zip_derived_cl748,zip_derived_cl531]) ).
thf(zip_derived_cl27607,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n1 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl27001]) ).
thf('902',plain,
( ( sk__1 != n1 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27607]) ).
thf(zip_derived_cl800_8820,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8821,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_8822,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8823,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18385,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_cl1544,zip_derived_cl18362]) ).
thf(zip_derived_cl55_8824,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8825,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8826,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8827,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18448,plain,
( ( ( sum @ ( sum @ n21 @ n2 ) @ ( sum @ n0 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18385,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl87_8828,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25311,plain,
( ( ( sum @ ( sum @ n21 @ n2 ) @ n23 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18448,zip_derived_cl87]) ).
thf(zip_derived_cl26693,plain,
( ( ( sum @ ( sum @ n21 @ n2 ) @ n23 )
!= ( sum @ n13 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl25311]) ).
thf(zip_derived_cl717_8829,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469_8830,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26704,plain,
( ( ( sum @ n23 @ n23 )
!= n15 )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26693,zip_derived_cl717,zip_derived_cl469]) ).
thf(zip_derived_cl27272,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n1 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl26704]) ).
thf('903',plain,
( ( sk__1 != n1 )
| ( sk_ != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27272]) ).
thf(zip_derived_cl736_8831,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_8832,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_8833,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8834,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18383,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_cl1542,zip_derived_cl18362]) ).
thf(zip_derived_cl53_8835,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8836,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_8837,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8838,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18446,plain,
( ( ( sum @ ( sum @ n19 @ n2 ) @ ( sum @ n0 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18383,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl85_8839,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25309,plain,
( ( ( sum @ ( sum @ n19 @ n2 ) @ n21 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18446,zip_derived_cl85]) ).
thf(zip_derived_cl26156,plain,
( ( ( sum @ ( sum @ n19 @ n2 ) @ n21 )
!= ( sum @ n9 @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl25309]) ).
thf(zip_derived_cl655_8840,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_8841,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26162,plain,
( ( ( sum @ n21 @ n21 )
!= n11 )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26156,zip_derived_cl655,zip_derived_cl345]) ).
thf(zip_derived_cl26672,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n1 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl26162]) ).
thf('904',plain,
( ( sk__1 != n1 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26672]) ).
thf(zip_derived_cl1530_8842,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl18362_8843,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_cl66,zip_derived_cl7211]) ).
thf(zip_derived_cl18371,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_cl1530,zip_derived_cl18362]) ).
thf(zip_derived_cl41_8844,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8845,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_8846,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8847,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18434,plain,
( ( ( sum @ ( sum @ n7 @ n2 ) @ ( sum @ n0 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n2 ) )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18371,zip_derived_cl41,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10]) ).
thf(zip_derived_cl283_8848,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_8849,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_8850,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_8851,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562_8852,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25296,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n1 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18434,zip_derived_cl283,zip_derived_cl73,zip_derived_cl352,zip_derived_cl290,zip_derived_cl562]) ).
thf('905',plain,
( ( sk__1 != n1 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25296]) ).
thf(zip_derived_cl992_8853,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8854,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_8855,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_8856,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22256,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_cl1544,zip_derived_cl22233]) ).
thf(zip_derived_cl55_8857,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8858,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8859,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8860,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22319,plain,
( ( ( sum @ ( sum @ n21 @ n8 ) @ ( sum @ n6 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22256,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl273_8861,plain,
( ( sum @ n6 @ n23 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26315,plain,
( ( ( sum @ ( sum @ n21 @ n8 ) @ n29 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22319,zip_derived_cl273]) ).
thf(zip_derived_cl26699,plain,
( ( ( sum @ ( sum @ n21 @ n8 ) @ n29 )
!= ( sum @ n13 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl26315]) ).
thf(zip_derived_cl723_8862,plain,
( ( sum @ n21 @ n8 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481_8863,plain,
( ( sum @ n13 @ n14 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26710,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26699,zip_derived_cl723,zip_derived_cl481]) ).
thf(zip_derived_cl29541,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n7 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl26710]) ).
thf('906',plain,
( ( sk_ != n22 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29541]) ).
thf(zip_derived_cl896_8864,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8865,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_8866,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_8867,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20201,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_cl1544,zip_derived_cl20178]) ).
thf(zip_derived_cl55_8868,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8869,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8870,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8871,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20264,plain,
( ( ( sum @ ( sum @ n21 @ n5 ) @ ( sum @ n3 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20201,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl180_8872,plain,
( ( sum @ n3 @ n23 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25812,plain,
( ( ( sum @ ( sum @ n21 @ n5 ) @ n26 )
!= ( sum @ ( sum @ n21 @ n23 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20264,zip_derived_cl180]) ).
thf(zip_derived_cl26696,plain,
( ( ( sum @ ( sum @ n21 @ n5 ) @ n26 )
!= ( sum @ n13 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl25812]) ).
thf(zip_derived_cl720_8873,plain,
( ( sum @ n21 @ n5 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475_8874,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26707,plain,
( ( ( sum @ n26 @ n26 )
!= n21 )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26696,zip_derived_cl720,zip_derived_cl475]) ).
thf(zip_derived_cl28293,plain,
( ( n21 != n21 )
<= ( ( sk__1 = n4 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl26707]) ).
thf('907',plain,
( ( sk_ != n22 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28293]) ).
thf(zip_derived_cl1544_8875,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_8876,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25380,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl25355]) ).
thf(zip_derived_cl55_8877,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8878,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8879,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8880,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25444,plain,
( ( ( sum @ ( sum @ n21 @ n18 ) @ ( sum @ n16 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25380,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl733_8881,plain,
( ( sum @ n21 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583_8882,plain,
( ( sum @ n16 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_8883,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8884,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_8885,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27896,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n17 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25444,zip_derived_cl733,zip_derived_cl583,zip_derived_cl320,zip_derived_cl738,zip_derived_cl470]) ).
thf('908',plain,
( ( sk_ != n22 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27896]) ).
thf(zip_derived_cl1544_8886,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_8887,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24961,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl24936]) ).
thf(zip_derived_cl55_8888,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8889,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8890,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8891,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25024,plain,
( ( ( sum @ ( sum @ n21 @ n16 ) @ ( sum @ n14 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24961,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl731_8892,plain,
( ( sum @ n21 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521_8893,plain,
( ( sum @ n14 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_8894,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8895,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_8896,plain,
( ( sum @ n13 @ n30 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27562,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n15 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25024,zip_derived_cl731,zip_derived_cl521,zip_derived_cl256,zip_derived_cl738,zip_derived_cl497]) ).
thf('909',plain,
( ( sk_ != n22 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27562]) ).
thf(zip_derived_cl1544_8897,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_8898,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24698,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl24673]) ).
thf(zip_derived_cl55_8899,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8900,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8901,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8902,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24761,plain,
( ( ( sum @ ( sum @ n21 @ n15 ) @ ( sum @ n13 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24698,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl730_8903,plain,
( ( sum @ n21 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_8904,plain,
( ( sum @ n13 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_8905,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8906,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_8907,plain,
( ( sum @ n13 @ n28 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27252,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n14 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24761,zip_derived_cl730,zip_derived_cl490,zip_derived_cl224,zip_derived_cl738,zip_derived_cl495]) ).
thf('910',plain,
( ( sk_ != n22 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27252]) ).
thf(zip_derived_cl1544_8908,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_8909,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24432,plain,
( ( ( sum @ ( sum @ ( pred @ n22 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n22 ) ) )
!= ( sum @ ( sum @ ( pred @ n22 ) @ ( succ @ n22 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1544,zip_derived_cl24407]) ).
thf(zip_derived_cl55_8910,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8911,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_8912,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8913,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24495,plain,
( ( ( sum @ ( sum @ n21 @ n14 ) @ ( sum @ n12 @ n23 ) )
!= ( sum @ ( sum @ n21 @ n23 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24432,zip_derived_cl55,zip_derived_cl24,zip_derived_cl55,zip_derived_cl24]) ).
thf(zip_derived_cl729_8914,plain,
( ( sum @ n21 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_8915,plain,
( ( sum @ n12 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_8916,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_8917,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493_8918,plain,
( ( sum @ n13 @ n26 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27208,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n13 )
& ( sk_ = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24495,zip_derived_cl729,zip_derived_cl459,zip_derived_cl192,zip_derived_cl738,zip_derived_cl493]) ).
thf('911',plain,
( ( sk_ != n22 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27208]) ).
thf(zip_derived_cl1544_8919,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl6316_8920,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_cl1848,zip_derived_cl24,zip_derived_cl24]) ).
thf(zip_derived_cl6339,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_cl1544,zip_derived_cl6316]) ).
thf(zip_derived_cl24_8921,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24_8922,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6401,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_cl6339,zip_derived_cl24,zip_derived_cl24]) ).
thf('912',plain,
( ( sk_ != n22 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6401]) ).
thf(zip_derived_cl1548_8923,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8924,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26744,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl26692]) ).
thf(zip_derived_cl59_8925,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8926,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_8927,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_8928,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26815,plain,
( ( ( sum @ ( sum @ n25 @ n23 ) @ ( sum @ n21 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26744,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl862_8929,plain,
( ( sum @ n25 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742_8930,plain,
( ( sum @ n21 @ n27 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_8931,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_8932,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_8933,plain,
( ( sum @ n21 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30189,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n22 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26815,zip_derived_cl862,zip_derived_cl742,zip_derived_cl608,zip_derived_cl866,zip_derived_cl728]) ).
thf('913',plain,
( ( sk__1 != n22 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30189]) ).
thf(zip_derived_cl1547_8934,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8935,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26743,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl26692]) ).
thf(zip_derived_cl58_8936,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8937,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_8938,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_8939,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26814,plain,
( ( ( sum @ ( sum @ n24 @ n23 ) @ ( sum @ n21 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26743,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl831_8940,plain,
( ( sum @ n24 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741_8941,plain,
( ( sum @ n21 @ n26 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_8942,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_8943,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666_8944,plain,
( ( sum @ n19 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl30187,plain,
( ( n1 != n1 )
<= ( ( sk__1 = n22 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26814,zip_derived_cl831,zip_derived_cl741,zip_derived_cl576,zip_derived_cl834,zip_derived_cl666]) ).
thf('914',plain,
( ( sk__1 != n22 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30187]) ).
thf(zip_derived_cl1024_8945,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_8946,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8947,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26726,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl26692]) ).
thf(zip_derived_cl41_8948,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_8949,plain,
( ( sum @ n7 @ n23 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8950,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_8951,plain,
( ( sum @ n21 @ n9 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_8952,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_8953,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_8954,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl573_8955,plain,
( ( sum @ n16 @ n13 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26788,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n22 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26726,zip_derived_cl41,zip_derived_cl304,zip_derived_cl10,zip_derived_cl724,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl573]) ).
thf(zip_derived_cl29991,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n22 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl26788]) ).
thf('915',plain,
( ( sk__1 != n22 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29991]) ).
thf(zip_derived_cl1017_8956,plain,
( ( sum @ n30 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_8957,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8958,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26718,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl26692]) ).
thf(zip_derived_cl33_8959,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8960,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716_8961,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_8962,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_8963,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26780,plain,
( ( ( sum @ ( sum @ n30 @ n23 ) @ n22 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26718,zip_derived_cl33,zip_derived_cl2,zip_derived_cl716,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29910,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1017,zip_derived_cl26780]) ).
thf(zip_derived_cl768_8964,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_8965,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_8966,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29912,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n22 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29910,zip_derived_cl768,zip_derived_cl995,zip_derived_cl77]) ).
thf('916',plain,
( ( sk_ != n0 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29912]) ).
thf(zip_derived_cl1546_8967,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8968,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26742,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl26692]) ).
thf(zip_derived_cl57_8969,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8970,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_8971,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_8972,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26813,plain,
( ( ( sum @ ( sum @ n23 @ n23 ) @ ( sum @ n21 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26742,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl800_8973,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl740_8974,plain,
( ( sum @ n21 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_8975,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_8976,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604_8977,plain,
( ( sum @ n17 @ n13 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29000,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n22 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26813,zip_derived_cl800,zip_derived_cl740,zip_derived_cl544,zip_derived_cl802,zip_derived_cl604]) ).
thf('917',plain,
( ( sk_ != n24 )
| ( sk__1 != n22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29000]) ).
thf(zip_derived_cl1545_8978,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8979,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26741,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl26692]) ).
thf(zip_derived_cl56_8980,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8981,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_8982,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_8983,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26812,plain,
( ( ( sum @ ( sum @ n22 @ n23 ) @ ( sum @ n21 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26741,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl769_8984,plain,
( ( sum @ n22 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl739_8985,plain,
( ( sum @ n21 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_8986,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_8987,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_8988,plain,
( ( sum @ n15 @ n13 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28998,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n22 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26812,zip_derived_cl769,zip_derived_cl739,zip_derived_cl512,zip_derived_cl770,zip_derived_cl542]) ).
thf('918',plain,
( ( sk__1 != n22 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28998]) ).
thf(zip_derived_cl1542_8989,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl26692_8990,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n23 ) @ ( sum @ n21 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n13 ) )
<= ( sk__1 = n22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl15392]) ).
thf(zip_derived_cl26738,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n23 ) @ ( sum @ n21 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n13 ) )
<= ( ( sk__1 = n22 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl26692]) ).
thf(zip_derived_cl53_8991,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl676_8992,plain,
( ( sum @ n19 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8993,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_8994,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_8995,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_8996,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_8997,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_8998,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_8999,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26806,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n22 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26738,zip_derived_cl53,zip_derived_cl676,zip_derived_cl22,zip_derived_cl736,zip_derived_cl416,zip_derived_cl53,zip_derived_cl22,zip_derived_cl674,zip_derived_cl356]) ).
thf('919',plain,
( ( sk__1 != n22 )
| ( sk_ != n20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26806]) ).
thf(zip_derived_cl928_9000,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_9001,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_9002,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22254,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_cl1542,zip_derived_cl22233]) ).
thf(zip_derived_cl53_9003,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9004,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_9005,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9006,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22317,plain,
( ( ( sum @ ( sum @ n19 @ n8 ) @ ( sum @ n6 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22254,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl661_9007,plain,
( ( sum @ n19 @ n8 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_9008,plain,
( ( sum @ n6 @ n21 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_9009,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_9010,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26311,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22317,zip_derived_cl661,zip_derived_cl271,zip_derived_cl674,zip_derived_cl357]) ).
thf(zip_derived_cl28636,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n7 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl26311]) ).
thf('920',plain,
( ( sk_ != n20 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28636]) ).
thf(zip_derived_cl1542_9011,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_9012,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25378,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl25355]) ).
thf(zip_derived_cl53_9013,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9014,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_9015,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9016,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25442,plain,
( ( ( sum @ ( sum @ n19 @ n18 ) @ ( sum @ n16 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25378,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl671_9017,plain,
( ( sum @ n19 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581_9018,plain,
( ( sum @ n16 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_9019,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_9020,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346_9021,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27892,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n17 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25442,zip_derived_cl671,zip_derived_cl581,zip_derived_cl256,zip_derived_cl674,zip_derived_cl346]) ).
thf('921',plain,
( ( sk_ != n20 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27892]) ).
thf(zip_derived_cl832_9022,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_9023,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_9024,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_9025,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20199,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_cl1542,zip_derived_cl20178]) ).
thf(zip_derived_cl53_9026,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9027,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_9028,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9029,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20262,plain,
( ( ( sum @ ( sum @ n19 @ n5 ) @ ( sum @ n3 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20199,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl178_9030,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25810,plain,
( ( ( sum @ ( sum @ n19 @ n5 ) @ n24 )
!= ( sum @ ( sum @ n19 @ n21 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20262,zip_derived_cl178]) ).
thf(zip_derived_cl26159,plain,
( ( ( sum @ ( sum @ n19 @ n5 ) @ n24 )
!= ( sum @ n9 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl25810]) ).
thf(zip_derived_cl658_9031,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_9032,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26165,plain,
( ( ( sum @ n24 @ n24 )
!= n17 )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26159,zip_derived_cl658,zip_derived_cl351]) ).
thf(zip_derived_cl27599,plain,
( ( n17 != n17 )
<= ( ( sk__1 = n4 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl832,zip_derived_cl26165]) ).
thf('922',plain,
( ( sk_ != n20 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27599]) ).
thf(zip_derived_cl1542_9033,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_9034,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24959,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl24936]) ).
thf(zip_derived_cl53_9035,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9036,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_9037,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9038,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25022,plain,
( ( ( sum @ ( sum @ n19 @ n16 ) @ ( sum @ n14 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24959,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl669_9039,plain,
( ( sum @ n19 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519_9040,plain,
( ( sum @ n14 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_9041,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_9042,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_9043,plain,
( ( sum @ n9 @ n30 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27555,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n15 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25022,zip_derived_cl669,zip_derived_cl519,zip_derived_cl192,zip_derived_cl674,zip_derived_cl373]) ).
thf('923',plain,
( ( sk_ != n20 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27555]) ).
thf(zip_derived_cl1542_9044,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_9045,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24696,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl24673]) ).
thf(zip_derived_cl53_9046,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9047,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_9048,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9049,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24759,plain,
( ( ( sum @ ( sum @ n19 @ n15 ) @ ( sum @ n13 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24696,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl668_9050,plain,
( ( sum @ n19 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_9051,plain,
( ( sum @ n13 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_9052,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_9053,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_9054,plain,
( ( sum @ n9 @ n28 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27248,plain,
( ( n6 != n6 )
<= ( ( sk__1 = n14 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24759,zip_derived_cl668,zip_derived_cl488,zip_derived_cl160,zip_derived_cl674,zip_derived_cl371]) ).
thf('924',plain,
( ( sk_ != n20 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27248]) ).
thf(zip_derived_cl1542_9055,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_9056,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24430,plain,
( ( ( sum @ ( sum @ ( pred @ n20 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n20 ) ) )
!= ( sum @ ( sum @ ( pred @ n20 ) @ ( succ @ n20 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1542,zip_derived_cl24407]) ).
thf(zip_derived_cl53_9057,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9058,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_9059,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22_9060,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24493,plain,
( ( ( sum @ ( sum @ n19 @ n14 ) @ ( sum @ n12 @ n21 ) )
!= ( sum @ ( sum @ n19 @ n21 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24430,zip_derived_cl53,zip_derived_cl22,zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl667_9061,plain,
( ( sum @ n19 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_9062,plain,
( ( sum @ n12 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_9063,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_9064,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_9065,plain,
( ( sum @ n9 @ n26 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27204,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n13 )
& ( sk_ = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24493,zip_derived_cl667,zip_derived_cl457,zip_derived_cl128,zip_derived_cl674,zip_derived_cl369]) ).
thf('925',plain,
( ( sk_ != n20 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27204]) ).
thf(zip_derived_cl1012_9066,plain,
( ( sum @ n30 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_9067,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_9068,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25358,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl25355]) ).
thf(zip_derived_cl33_9069,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9070,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561_9071,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_9072,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9073,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25420,plain,
( ( ( sum @ ( sum @ n30 @ n18 ) @ n17 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25358,zip_derived_cl33,zip_derived_cl2,zip_derived_cl561,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29856,plain,
( ( ( sum @ n17 @ n17 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1012,zip_derived_cl25420]) ).
thf(zip_derived_cl608_9074,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_9075,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_9076,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29858,plain,
( ( n3 != n3 )
<= ( ( sk__1 = n17 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29856,zip_derived_cl608,zip_derived_cl995,zip_derived_cl67]) ).
thf('926',plain,
( ( sk_ != n0 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29858]) ).
thf(zip_derived_cl866_9077,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_9078,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_9079,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25384,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl25355]) ).
thf(zip_derived_cl59_9080,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9081,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_9082,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9083,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25448,plain,
( ( ( sum @ ( sum @ n25 @ n18 ) @ ( sum @ n16 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25384,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl857_9084,plain,
( ( sum @ n25 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587_9085,plain,
( ( sum @ n16 @ n27 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_9086,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27904,plain,
( ( n24
!= ( sum @ ( sum @ n25 @ n27 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25448,zip_derived_cl857,zip_derived_cl587,zip_derived_cl448]) ).
thf(zip_derived_cl27989,plain,
( ( n24
!= ( sum @ n21 @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl27904]) ).
thf(zip_derived_cl718_9087,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28020,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n17 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27989,zip_derived_cl718]) ).
thf('927',plain,
( ( sk__1 != n17 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28020]) ).
thf(zip_derived_cl864_9088,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_9089,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_9090,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25366,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl25355]) ).
thf(zip_derived_cl41_9091,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_9092,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9093,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_9094,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_9095,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9096,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_9097,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563_9098,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25428,plain,
( ( ( sum @ n25 @ n25 )
!= n19 )
<= ( ( sk__1 = n17 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25366,zip_derived_cl41,zip_derived_cl299,zip_derived_cl10,zip_derived_cl569,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290,zip_derived_cl563]) ).
thf(zip_derived_cl27929,plain,
( ( n19 != n19 )
<= ( ( sk__1 = n17 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl25428]) ).
thf('928',plain,
( ( sk__1 != n17 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27929]) ).
thf(zip_derived_cl1547_9099,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_9100,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25383,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl25355]) ).
thf(zip_derived_cl58_9101,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9102,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_9103,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9104,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25447,plain,
( ( ( sum @ ( sum @ n24 @ n18 ) @ ( sum @ n16 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25383,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl826_9105,plain,
( ( sum @ n24 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586_9106,plain,
( ( sum @ n16 @ n26 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_9107,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_9108,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656_9109,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27902,plain,
( ( n22 != n22 )
<= ( ( sk__1 = n17 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25447,zip_derived_cl826,zip_derived_cl586,zip_derived_cl416,zip_derived_cl834,zip_derived_cl656]) ).
thf('929',plain,
( ( sk__1 != n17 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27902]) ).
thf(zip_derived_cl1546_9110,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_9111,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25382,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl25355]) ).
thf(zip_derived_cl57_9112,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9113,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_9114,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9115,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25446,plain,
( ( ( sum @ ( sum @ n23 @ n18 ) @ ( sum @ n16 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25382,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl795_9116,plain,
( ( sum @ n23 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585_9117,plain,
( ( sum @ n16 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_9118,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_9119,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_9120,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27900,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n17 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25446,zip_derived_cl795,zip_derived_cl585,zip_derived_cl384,zip_derived_cl802,zip_derived_cl594]) ).
thf('930',plain,
( ( sk_ != n24 )
| ( sk__1 != n17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27900]) ).
thf(zip_derived_cl1545_9121,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl25355_9122,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n18 ) @ ( sum @ n16 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n3 ) )
<= ( sk__1 = n17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl13462]) ).
thf(zip_derived_cl25381,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n18 ) @ ( sum @ n16 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl25355]) ).
thf(zip_derived_cl56_9123,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9124,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_9125,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9126,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25445,plain,
( ( ( sum @ ( sum @ n22 @ n18 ) @ ( sum @ n16 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n3 ) )
<= ( ( sk__1 = n17 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25381,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl764_9127,plain,
( ( sum @ n22 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584_9128,plain,
( ( sum @ n16 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_9129,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_9130,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532_9131,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27898,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n17 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25445,zip_derived_cl764,zip_derived_cl584,zip_derived_cl352,zip_derived_cl770,zip_derived_cl532]) ).
thf('931',plain,
( ( sk__1 != n17 )
| ( sk_ != n23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27898]) ).
thf(zip_derived_cl1024_9132,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_9133,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_9134,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_9135,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22257,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_cl1545,zip_derived_cl22233]) ).
thf(zip_derived_cl56_9136,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9137,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_9138,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9139,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22320,plain,
( ( ( sum @ ( sum @ n22 @ n8 ) @ ( sum @ n6 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22257,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl274_9140,plain,
( ( sum @ n6 @ n24 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26316,plain,
( ( ( sum @ ( sum @ n22 @ n8 ) @ n30 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22320,zip_derived_cl274]) ).
thf(zip_derived_cl26996,plain,
( ( ( sum @ ( sum @ n22 @ n8 ) @ n30 )
!= ( sum @ n15 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl26316]) ).
thf(zip_derived_cl754_9141,plain,
( ( sum @ n22 @ n8 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl543_9142,plain,
( ( sum @ n15 @ n14 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27007,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26996,zip_derived_cl754,zip_derived_cl543]) ).
thf(zip_derived_cl29994,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n7 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27007]) ).
thf('932',plain,
( ( sk_ != n23 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29994]) ).
thf(zip_derived_cl928_9143,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_9144,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_9145,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_9146,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20202,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_cl1545,zip_derived_cl20178]) ).
thf(zip_derived_cl56_9147,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9148,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_9149,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9150,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20265,plain,
( ( ( sum @ ( sum @ n22 @ n5 ) @ ( sum @ n3 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20202,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl181_9151,plain,
( ( sum @ n3 @ n24 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25815,plain,
( ( ( sum @ ( sum @ n22 @ n5 ) @ n27 )
!= ( sum @ ( sum @ n22 @ n24 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20265,zip_derived_cl181]) ).
thf(zip_derived_cl26993,plain,
( ( ( sum @ ( sum @ n22 @ n5 ) @ n27 )
!= ( sum @ n15 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl25815]) ).
thf(zip_derived_cl751_9152,plain,
( ( sum @ n22 @ n5 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl537_9153,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27004,plain,
( ( ( sum @ n27 @ n27 )
!= n23 )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26993,zip_derived_cl751,zip_derived_cl537]) ).
thf(zip_derived_cl28645,plain,
( ( n23 != n23 )
<= ( ( sk__1 = n4 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl928,zip_derived_cl27004]) ).
thf('933',plain,
( ( sk_ != n23 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28645]) ).
thf(zip_derived_cl1545_9154,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_9155,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24962,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl24936]) ).
thf(zip_derived_cl56_9156,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9157,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_9158,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9159,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25025,plain,
( ( ( sum @ ( sum @ n22 @ n16 ) @ ( sum @ n14 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24962,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl762_9160,plain,
( ( sum @ n22 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_9161,plain,
( ( sum @ n14 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_9162,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_9163,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559_9164,plain,
( ( sum @ n15 @ n30 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27564,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n15 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25025,zip_derived_cl762,zip_derived_cl522,zip_derived_cl288,zip_derived_cl770,zip_derived_cl559]) ).
thf('934',plain,
( ( sk_ != n23 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27564]) ).
thf(zip_derived_cl1545_9165,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_9166,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24699,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl24673]) ).
thf(zip_derived_cl56_9167,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9168,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_9169,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9170,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24762,plain,
( ( ( sum @ ( sum @ n22 @ n15 ) @ ( sum @ n13 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24699,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl761_9171,plain,
( ( sum @ n22 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_9172,plain,
( ( sum @ n13 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_9173,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_9174,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557_9175,plain,
( ( sum @ n15 @ n28 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27254,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n14 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24762,zip_derived_cl761,zip_derived_cl491,zip_derived_cl256,zip_derived_cl770,zip_derived_cl557]) ).
thf('935',plain,
( ( sk_ != n23 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27254]) ).
thf(zip_derived_cl1545_9176,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_9177,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24433,plain,
( ( ( sum @ ( sum @ ( pred @ n23 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n23 ) ) )
!= ( sum @ ( sum @ ( pred @ n23 ) @ ( succ @ n23 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n23 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1545,zip_derived_cl24407]) ).
thf(zip_derived_cl56_9178,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9179,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_9180,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25_9181,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24496,plain,
( ( ( sum @ ( sum @ n22 @ n14 ) @ ( sum @ n12 @ n24 ) )
!= ( sum @ ( sum @ n22 @ n24 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24433,zip_derived_cl56,zip_derived_cl25,zip_derived_cl56,zip_derived_cl25]) ).
thf(zip_derived_cl760_9182,plain,
( ( sum @ n22 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460_9183,plain,
( ( sum @ n12 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_9184,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_9185,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555_9186,plain,
( ( sum @ n15 @ n26 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27210,plain,
( ( n10 != n10 )
<= ( ( sk__1 = n13 )
& ( sk_ = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24496,zip_derived_cl760,zip_derived_cl460,zip_derived_cl224,zip_derived_cl770,zip_derived_cl555]) ).
thf('936',plain,
( ( sk_ != n23 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27210]) ).
thf(zip_derived_cl1002_9187,plain,
( ( sum @ n30 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_9188,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_9189,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22234,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_cl1522,zip_derived_cl22233]) ).
thf(zip_derived_cl33_9190,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9191,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_9192,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_9193,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9194,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22296,plain,
( ( ( sum @ ( sum @ n30 @ n8 ) @ n7 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22234,zip_derived_cl33,zip_derived_cl2,zip_derived_cl251,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29761,plain,
( ( ( sum @ n7 @ n7 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1002,zip_derived_cl22296]) ).
thf(zip_derived_cl288_9195,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_9196,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_9197,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29763,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n7 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29761,zip_derived_cl288,zip_derived_cl995,zip_derived_cl78]) ).
thf('937',plain,
( ( sk_ != n0 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29763]) ).
thf(zip_derived_cl866_9198,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_9199,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_9200,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22260,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n8 ) @ ( sum @ n6 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl22233]) ).
thf(zip_derived_cl59_9201,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9202,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_9203,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9204,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22323,plain,
( ( ( sum @ ( sum @ n25 @ n8 ) @ ( sum @ n6 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22260,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl277_9205,plain,
( ( sum @ n6 @ n27 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26319,plain,
( ( ( sum @ ( sum @ n25 @ n8 ) @ n2 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22323,zip_derived_cl277]) ).
thf(zip_derived_cl27978,plain,
( ( ( sum @ ( sum @ n25 @ n8 ) @ n2 )
!= ( sum @ n21 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl26319]) ).
thf(zip_derived_cl847_9206,plain,
( ( sum @ n25 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_9207,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_9208,plain,
( ( sum @ n21 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27998,plain,
( ( n4 != n4 )
<= ( ( sk__1 = n7 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27978,zip_derived_cl847,zip_derived_cl128,zip_derived_cl729]) ).
thf('938',plain,
( ( sk__1 != n7 )
| ( sk_ != n26 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27998]) ).
thf(zip_derived_cl834_9209,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_9210,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_9211,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22259,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_cl1547,zip_derived_cl22233]) ).
thf(zip_derived_cl58_9212,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9213,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_9214,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9215,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22322,plain,
( ( ( sum @ ( sum @ n24 @ n8 ) @ ( sum @ n6 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22259,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl276_9216,plain,
( ( sum @ n6 @ n26 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26318,plain,
( ( ( sum @ ( sum @ n24 @ n8 ) @ n1 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22322,zip_derived_cl276]) ).
thf(zip_derived_cl27639,plain,
( ( ( sum @ ( sum @ n24 @ n8 ) @ n1 )
!= ( sum @ n19 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl26318]) ).
thf(zip_derived_cl816_9217,plain,
( ( sum @ n24 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_9218,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667_9219,plain,
( ( sum @ n19 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27656,plain,
( ( n2 != n2 )
<= ( ( sk__1 = n7 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27639,zip_derived_cl816,zip_derived_cl96,zip_derived_cl667]) ).
thf('939',plain,
( ( sk__1 != n7 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27656]) ).
thf(zip_derived_cl802_9220,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_9221,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_9222,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22258,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_cl1546,zip_derived_cl22233]) ).
thf(zip_derived_cl57_9223,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9224,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_9225,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9226,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22321,plain,
( ( ( sum @ ( sum @ n23 @ n8 ) @ ( sum @ n6 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22258,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl275_9227,plain,
( ( sum @ n6 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26317,plain,
( ( ( sum @ ( sum @ n23 @ n8 ) @ n0 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22321,zip_derived_cl275]) ).
thf(zip_derived_cl27303,plain,
( ( ( sum @ ( sum @ n23 @ n8 ) @ n0 )
!= ( sum @ n17 @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl26317]) ).
thf(zip_derived_cl785_9228,plain,
( ( sum @ n23 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_9229,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl605_9230,plain,
( ( sum @ n17 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27316,plain,
( ( n0 != n0 )
<= ( ( sk__1 = n7 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27303,zip_derived_cl785,zip_derived_cl64,zip_derived_cl605]) ).
thf('940',plain,
( ( sk_ != n24 )
| ( sk__1 != n7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27316]) ).
thf(zip_derived_cl1530_9231,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl22233_9232,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_cl258,zip_derived_cl9587]) ).
thf(zip_derived_cl22242,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_cl1530,zip_derived_cl22233]) ).
thf(zip_derived_cl41_9233,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9234,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_9235,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9236,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl22305,plain,
( ( ( sum @ ( sum @ n7 @ n8 ) @ ( sum @ n6 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n14 ) )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22242,zip_derived_cl41,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10]) ).
thf(zip_derived_cl289_9237,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_9238,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_9239,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_9240,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_9241,plain,
( ( sum @ n16 @ n14 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26122,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n7 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22305,zip_derived_cl289,zip_derived_cl259,zip_derived_cl544,zip_derived_cl290,zip_derived_cl574]) ).
thf('941',plain,
( ( sk__1 != n7 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26122]) ).
thf(zip_derived_cl1024_9242,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_9243,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_9244,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_9245,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20205,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n5 ) @ ( sum @ n3 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl20178]) ).
thf(zip_derived_cl59_9246,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9247,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_9248,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9249,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20268,plain,
( ( ( sum @ ( sum @ n25 @ n5 ) @ ( sum @ n3 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20205,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl184_9250,plain,
( ( sum @ n3 @ n27 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25818,plain,
( ( ( sum @ ( sum @ n25 @ n5 ) @ n30 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20268,zip_derived_cl184]) ).
thf(zip_derived_cl27975,plain,
( ( ( sum @ ( sum @ n25 @ n5 ) @ n30 )
!= ( sum @ n21 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl25818]) ).
thf(zip_derived_cl844_9251,plain,
( ( sum @ n25 @ n5 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_9252,plain,
( ( sum @ n21 @ n8 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27993,plain,
( ( ( sum @ n30 @ n30 )
!= n29 )
<= ( ( sk__1 = n4 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27975,zip_derived_cl844,zip_derived_cl723]) ).
thf(zip_derived_cl30002,plain,
( ( n29 != n29 )
<= ( ( sk__1 = n4 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl27993]) ).
thf('942',plain,
( ( sk_ != n26 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30002]) ).
thf(zip_derived_cl866_9253,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_9254,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_9255,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24965,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl24936]) ).
thf(zip_derived_cl59_9256,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9257,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_9258,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9259,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25028,plain,
( ( ( sum @ ( sum @ n25 @ n16 ) @ ( sum @ n14 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24965,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl525_9260,plain,
( ( sum @ n14 @ n27 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27569,plain,
( ( ( sum @ ( sum @ n25 @ n16 ) @ n10 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25028,zip_derived_cl525]) ).
thf(zip_derived_cl27986,plain,
( ( ( sum @ ( sum @ n25 @ n16 ) @ n10 )
!= ( sum @ n21 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl27569]) ).
thf(zip_derived_cl855_9261,plain,
( ( sum @ n25 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_9262,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745_9263,plain,
( ( sum @ n21 @ n30 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28014,plain,
( ( n20 != n20 )
<= ( ( sk__1 = n15 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27986,zip_derived_cl855,zip_derived_cl384,zip_derived_cl745]) ).
thf('943',plain,
( ( sk_ != n26 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28014]) ).
thf(zip_derived_cl866_9264,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_9265,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_9266,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24702,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl24673]) ).
thf(zip_derived_cl59_9267,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9268,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_9269,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9270,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24765,plain,
( ( ( sum @ ( sum @ n25 @ n15 ) @ ( sum @ n13 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24702,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl494_9271,plain,
( ( sum @ n13 @ n27 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27505,plain,
( ( ( sum @ ( sum @ n25 @ n15 ) @ n9 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24765,zip_derived_cl494]) ).
thf(zip_derived_cl27985,plain,
( ( ( sum @ ( sum @ n25 @ n15 ) @ n9 )
!= ( sum @ n21 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl27505]) ).
thf(zip_derived_cl854_9272,plain,
( ( sum @ n25 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_9273,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743_9274,plain,
( ( sum @ n21 @ n28 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28012,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n14 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27985,zip_derived_cl854,zip_derived_cl352,zip_derived_cl743]) ).
thf('944',plain,
( ( sk_ != n26 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28012]) ).
thf(zip_derived_cl866_9275,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_9276,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_9277,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24436,plain,
( ( ( sum @ ( sum @ ( pred @ n26 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n26 ) ) )
!= ( sum @ ( sum @ ( pred @ n26 ) @ ( succ @ n26 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl24407]) ).
thf(zip_derived_cl59_9278,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9279,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_9280,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28_9281,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24499,plain,
( ( ( sum @ ( sum @ n25 @ n14 ) @ ( sum @ n12 @ n27 ) )
!= ( sum @ ( sum @ n25 @ n27 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24436,zip_derived_cl59,zip_derived_cl28,zip_derived_cl59,zip_derived_cl28]) ).
thf(zip_derived_cl463_9282,plain,
( ( sum @ n12 @ n27 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27214,plain,
( ( ( sum @ ( sum @ n25 @ n14 ) @ n8 )
!= ( sum @ ( sum @ n25 @ n27 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24499,zip_derived_cl463]) ).
thf(zip_derived_cl27984,plain,
( ( ( sum @ ( sum @ n25 @ n14 ) @ n8 )
!= ( sum @ n21 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n26 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl27214]) ).
thf(zip_derived_cl853_9283,plain,
( ( sum @ n25 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_9284,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741_9285,plain,
( ( sum @ n21 @ n26 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl28010,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n13 )
& ( sk_ = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27984,zip_derived_cl853,zip_derived_cl320,zip_derived_cl741]) ).
thf('945',plain,
( ( sk_ != n26 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28010]) ).
thf(zip_derived_cl999_9286,plain,
( ( sum @ n30 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_9287,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_9288,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20179,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_cl1522,zip_derived_cl20178]) ).
thf(zip_derived_cl33_9289,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9290,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_9291,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_9292,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9293,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20241,plain,
( ( ( sum @ ( sum @ n30 @ n5 ) @ n4 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20179,zip_derived_cl33,zip_derived_cl2,zip_derived_cl158,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29745,plain,
( ( ( sum @ n4 @ n4 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl999,zip_derived_cl20241]) ).
thf(zip_derived_cl192_9294,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_9295,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_9296,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29747,plain,
( ( n8 != n8 )
<= ( ( sk__1 = n4 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29745,zip_derived_cl192,zip_derived_cl995,zip_derived_cl72]) ).
thf('946',plain,
( ( sk_ != n0 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29747]) ).
thf(zip_derived_cl992_9297,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_9298,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_9299,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_9300,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20204,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_cl1547,zip_derived_cl20178]) ).
thf(zip_derived_cl58_9301,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9302,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_9303,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9304,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20267,plain,
( ( ( sum @ ( sum @ n24 @ n5 ) @ ( sum @ n3 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20204,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl183_9305,plain,
( ( sum @ n3 @ n26 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25817,plain,
( ( ( sum @ ( sum @ n24 @ n5 ) @ n29 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20267,zip_derived_cl183]) ).
thf(zip_derived_cl27636,plain,
( ( ( sum @ ( sum @ n24 @ n5 ) @ n29 )
!= ( sum @ n19 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl25817]) ).
thf(zip_derived_cl813_9306,plain,
( ( sum @ n24 @ n5 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661_9307,plain,
( ( sum @ n19 @ n8 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27652,plain,
( ( ( sum @ n29 @ n29 )
!= n27 )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27636,zip_derived_cl813,zip_derived_cl661]) ).
thf(zip_derived_cl29550,plain,
( ( n27 != n27 )
<= ( ( sk__1 = n4 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl992,zip_derived_cl27652]) ).
thf('947',plain,
( ( sk__1 != n4 )
| ( sk_ != n25 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29550]) ).
thf(zip_derived_cl960_9308,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_9309,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_9310,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_9311,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20203,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_cl1546,zip_derived_cl20178]) ).
thf(zip_derived_cl57_9312,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9313,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_9314,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9315,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20266,plain,
( ( ( sum @ ( sum @ n23 @ n5 ) @ ( sum @ n3 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20203,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl182_9316,plain,
( ( sum @ n3 @ n25 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25816,plain,
( ( ( sum @ ( sum @ n23 @ n5 ) @ n28 )
!= ( sum @ ( sum @ n23 @ n25 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20266,zip_derived_cl182]) ).
thf(zip_derived_cl27300,plain,
( ( ( sum @ ( sum @ n23 @ n5 ) @ n28 )
!= ( sum @ n17 @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl25816]) ).
thf(zip_derived_cl782_9317,plain,
( ( sum @ n23 @ n5 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599_9318,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27313,plain,
( ( ( sum @ n28 @ n28 )
!= n25 )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27300,zip_derived_cl782,zip_derived_cl599]) ).
thf(zip_derived_cl29019,plain,
( ( n25 != n25 )
<= ( ( sk__1 = n4 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl960,zip_derived_cl27313]) ).
thf('948',plain,
( ( sk_ != n24 )
| ( sk__1 != n4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29019]) ).
thf(zip_derived_cl1530_9319,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl20178_9320,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_cl162,zip_derived_cl8398]) ).
thf(zip_derived_cl20187,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_cl1530,zip_derived_cl20178]) ).
thf(zip_derived_cl41_9321,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9322,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_9323,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9324,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20250,plain,
( ( ( sum @ ( sum @ n7 @ n5 ) @ ( sum @ n3 @ n9 ) )
!= ( sum @ ( sum @ n7 @ n9 ) @ n8 ) )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20187,zip_derived_cl41,zip_derived_cl10,zip_derived_cl41,zip_derived_cl10]) ).
thf(zip_derived_cl286_9325,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_9326,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_9327,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_9328,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl568_9329,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25795,plain,
( ( n24 != n24 )
<= ( ( sk__1 = n4 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20250,zip_derived_cl286,zip_derived_cl166,zip_derived_cl448,zip_derived_cl290,zip_derived_cl568]) ).
thf('949',plain,
( ( sk__1 != n4 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl25795]) ).
thf(zip_derived_cl834_9330,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_9331,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_9332,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24964,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl24936]) ).
thf(zip_derived_cl58_9333,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9334,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_9335,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9336,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25027,plain,
( ( ( sum @ ( sum @ n24 @ n16 ) @ ( sum @ n14 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24964,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl824_9337,plain,
( ( sum @ n24 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524_9338,plain,
( ( sum @ n14 @ n26 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_9339,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27568,plain,
( ( n18
!= ( sum @ ( sum @ n24 @ n26 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25027,zip_derived_cl824,zip_derived_cl524,zip_derived_cl352]) ).
thf(zip_derived_cl27648,plain,
( ( n18
!= ( sum @ n19 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl27568]) ).
thf(zip_derived_cl683_9340,plain,
( ( sum @ n19 @ n30 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27674,plain,
( ( n18 != n18 )
<= ( ( sk__1 = n15 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27648,zip_derived_cl683]) ).
thf('950',plain,
( ( sk_ != n25 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27674]) ).
thf(zip_derived_cl834_9341,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_9342,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_9343,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24701,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl24673]) ).
thf(zip_derived_cl58_9344,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9345,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_9346,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9347,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24764,plain,
( ( ( sum @ ( sum @ n24 @ n15 ) @ ( sum @ n13 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24701,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl493_9348,plain,
( ( sum @ n13 @ n26 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27502,plain,
( ( ( sum @ ( sum @ n24 @ n15 ) @ n8 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24764,zip_derived_cl493]) ).
thf(zip_derived_cl27646,plain,
( ( ( sum @ ( sum @ n24 @ n15 ) @ n8 )
!= ( sum @ n19 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl27502]) ).
thf(zip_derived_cl823_9349,plain,
( ( sum @ n24 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_9350,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl681_9351,plain,
( ( sum @ n19 @ n28 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27670,plain,
( ( n16 != n16 )
<= ( ( sk__1 = n14 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27646,zip_derived_cl823,zip_derived_cl320,zip_derived_cl681]) ).
thf('951',plain,
( ( sk_ != n25 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27670]) ).
thf(zip_derived_cl834_9352,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_9353,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_9354,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24435,plain,
( ( ( sum @ ( sum @ ( pred @ n25 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n25 ) ) )
!= ( sum @ ( sum @ ( pred @ n25 ) @ ( succ @ n25 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1547,zip_derived_cl24407]) ).
thf(zip_derived_cl58_9355,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9356,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_9357,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27_9358,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24498,plain,
( ( ( sum @ ( sum @ n24 @ n14 ) @ ( sum @ n12 @ n26 ) )
!= ( sum @ ( sum @ n24 @ n26 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24435,zip_derived_cl58,zip_derived_cl27,zip_derived_cl58,zip_derived_cl27]) ).
thf(zip_derived_cl462_9359,plain,
( ( sum @ n12 @ n26 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27213,plain,
( ( ( sum @ ( sum @ n24 @ n14 ) @ n7 )
!= ( sum @ ( sum @ n24 @ n26 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24498,zip_derived_cl462]) ).
thf(zip_derived_cl27645,plain,
( ( ( sum @ ( sum @ n24 @ n14 ) @ n7 )
!= ( sum @ n19 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl834,zip_derived_cl27213]) ).
thf(zip_derived_cl822_9360,plain,
( ( sum @ n24 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_9361,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679_9362,plain,
( ( sum @ n19 @ n26 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27668,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n13 )
& ( sk_ = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27645,zip_derived_cl822,zip_derived_cl288,zip_derived_cl679]) ).
thf('952',plain,
( ( sk_ != n25 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27668]) ).
thf(zip_derived_cl1008_9363,plain,
( ( sum @ n30 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_9364,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_9365,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24410,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl24407]) ).
thf(zip_derived_cl33_9366,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9367,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_9368,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_9369,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9370,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24472,plain,
( ( ( sum @ ( sum @ n30 @ n14 ) @ n13 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24410,zip_derived_cl33,zip_derived_cl2,zip_derived_cl437,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29814,plain,
( ( ( sum @ n13 @ n13 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl24472]) ).
thf(zip_derived_cl480_9371,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_9372,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_9373,plain,
( ( sum @ n0 @ n26 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29816,plain,
( ( n26 != n26 )
<= ( ( sk__1 = n13 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29814,zip_derived_cl480,zip_derived_cl995,zip_derived_cl90]) ).
thf('953',plain,
( ( sk_ != n0 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29816]) ).
thf(zip_derived_cl802_9374,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_9375,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_9376,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24434,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl24407]) ).
thf(zip_derived_cl57_9377,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9378,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_9379,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9380,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24497,plain,
( ( ( sum @ ( sum @ n23 @ n14 ) @ ( sum @ n12 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24434,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl791_9381,plain,
( ( sum @ n23 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_9382,plain,
( ( sum @ n12 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_9383,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27212,plain,
( ( n12
!= ( sum @ ( sum @ n23 @ n25 ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24497,zip_derived_cl791,zip_derived_cl461,zip_derived_cl256]) ).
thf(zip_derived_cl27309,plain,
( ( n12
!= ( sum @ n17 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl27212]) ).
thf(zip_derived_cl617_9384,plain,
( ( sum @ n17 @ n26 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27328,plain,
( ( n12 != n12 )
<= ( ( sk__1 = n13 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27309,zip_derived_cl617]) ).
thf('954',plain,
( ( sk_ != n24 )
| ( sk__1 != n13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27328]) ).
thf(zip_derived_cl736_9385,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_9386,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24407_9387,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n14 ) @ ( sum @ n12 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n26 ) )
<= ( sk__1 = n13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl11911]) ).
thf(zip_derived_cl24418,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n14 ) @ ( sum @ n12 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl24407]) ).
thf(zip_derived_cl41_9388,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_9389,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9390,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_9391,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_9392,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9393,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_9394,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24480,plain,
( ( ( sum @ n21 @ n21 )
!= ( sum @ n16 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24418,zip_derived_cl41,zip_derived_cl295,zip_derived_cl10,zip_derived_cl445,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290]) ).
thf(zip_derived_cl26661,plain,
( ( n11
!= ( sum @ n16 @ n26 ) )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl24480]) ).
thf(zip_derived_cl586_9395,plain,
( ( sum @ n16 @ n26 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26678,plain,
( ( n11 != n11 )
<= ( ( sk__1 = n13 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26661,zip_derived_cl586]) ).
thf('955',plain,
( ( sk__1 != n13 )
| ( sk_ != n8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26678]) ).
thf(zip_derived_cl800_9396,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_9397,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_9398,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24947,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl24936]) ).
thf(zip_derived_cl41_9399,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_9400,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9401,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507_9402,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_9403,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9404,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_9405,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25009,plain,
( ( ( sum @ n23 @ n23 )
!= ( sum @ n16 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24947,zip_derived_cl41,zip_derived_cl297,zip_derived_cl10,zip_derived_cl507,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290]) ).
thf(zip_derived_cl27259,plain,
( ( n15
!= ( sum @ n16 @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl800,zip_derived_cl25009]) ).
thf(zip_derived_cl590_9406,plain,
( ( sum @ n16 @ n30 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27280,plain,
( ( n15 != n15 )
<= ( ( sk__1 = n15 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27259,zip_derived_cl590]) ).
thf('956',plain,
( ( sk_ != n8 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27280]) ).
thf(zip_derived_cl768_9407,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1530_9408,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_9409,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24684,plain,
( ( ( sum @ ( sum @ ( pred @ n8 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n8 ) ) )
!= ( sum @ ( sum @ ( pred @ n8 ) @ ( succ @ n8 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl24673]) ).
thf(zip_derived_cl41_9410,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_9411,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9412,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_9413,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl41_9414,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10_9415,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_9416,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24746,plain,
( ( ( sum @ n22 @ n22 )
!= ( sum @ n16 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24684,zip_derived_cl41,zip_derived_cl296,zip_derived_cl10,zip_derived_cl476,zip_derived_cl41,zip_derived_cl10,zip_derived_cl290]) ).
thf(zip_derived_cl26956,plain,
( ( n13
!= ( sum @ n16 @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl768,zip_derived_cl24746]) ).
thf(zip_derived_cl588_9417,plain,
( ( sum @ n16 @ n28 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26974,plain,
( ( n13 != n13 )
<= ( ( sk__1 = n14 )
& ( sk_ = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26956,zip_derived_cl588]) ).
thf('957',plain,
( ( sk_ != n8 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl26974]) ).
thf(zip_derived_cl1009_9418,plain,
( ( sum @ n30 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_9419,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_9420,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24676,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl24673]) ).
thf(zip_derived_cl33_9421,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9422,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_9423,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_9424,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9425,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24738,plain,
( ( ( sum @ ( sum @ n30 @ n15 ) @ n14 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24676,zip_derived_cl33,zip_derived_cl2,zip_derived_cl468,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29826,plain,
( ( ( sum @ n14 @ n14 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1009,zip_derived_cl24738]) ).
thf(zip_derived_cl512_9426,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_9427,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_9428,plain,
( ( sum @ n0 @ n28 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29828,plain,
( ( n28 != n28 )
<= ( ( sk__1 = n14 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29826,zip_derived_cl512,zip_derived_cl995,zip_derived_cl92]) ).
thf('958',plain,
( ( sk_ != n0 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29828]) ).
thf(zip_derived_cl1546_9429,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24673_9430,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n15 ) @ ( sum @ n13 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n28 ) )
<= ( sk__1 = n14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl12301]) ).
thf(zip_derived_cl24700,plain,
( ( ( sum @ ( sum @ ( pred @ n24 ) @ n15 ) @ ( sum @ n13 @ ( succ @ n24 ) ) )
!= ( sum @ ( sum @ ( pred @ n24 ) @ ( succ @ n24 ) ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1546,zip_derived_cl24673]) ).
thf(zip_derived_cl57_9431,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9432,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_9433,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl26_9434,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl24763,plain,
( ( ( sum @ ( sum @ n23 @ n15 ) @ ( sum @ n13 @ n25 ) )
!= ( sum @ ( sum @ n23 @ n25 ) @ n28 ) )
<= ( ( sk__1 = n14 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24700,zip_derived_cl57,zip_derived_cl26,zip_derived_cl57,zip_derived_cl26]) ).
thf(zip_derived_cl792_9435,plain,
( ( sum @ n23 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_9436,plain,
( ( sum @ n13 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_9437,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_9438,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619_9439,plain,
( ( sum @ n17 @ n28 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl27500,plain,
( ( n14 != n14 )
<= ( ( sk__1 = n14 )
& ( sk_ = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24763,zip_derived_cl792,zip_derived_cl492,zip_derived_cl288,zip_derived_cl802,zip_derived_cl619]) ).
thf('959',plain,
( ( sk_ != n24 )
| ( sk__1 != n14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl27500]) ).
thf('960',plain,
( ( sk__1 = n15 )
| ( sk__1 = n14 )
| ( sk__1 = n26 )
| ( sk__1 = n27 )
| ( sk__1 = n5 )
| ( sk__1 = n6 )
| ( sk__1 = n18 )
| ( sk__1 = n12 )
| ( sk__1 = n3 )
| ( sk__1 = n9 )
| ( sk__1 = n30 )
| ( sk__1 = n10 )
| ( sk__1 = n19 )
| ( sk__1 = n11 )
| ( sk__1 = n24 )
| ( sk__1 = n25 )
| ( sk__1 = n23 )
| ( sk__1 = n0 )
| ( sk__1 = n2 )
| ( sk__1 = n16 )
| ( sk__1 = n29 )
| ( sk__1 = n21 )
| ( sk__1 = n28 )
| ( sk__1 = n20 )
| ( sk__1 = n8 )
| ( sk__1 = n1 )
| ( sk__1 = n22 )
| ( sk__1 = n17 )
| ( sk__1 = n7 )
| ( sk__1 = n4 )
| ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl1010_9440,plain,
( ( sum @ n30 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1522_9441,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl24936_9442,plain,
( ( ( sum @ ( sum @ ( pred @ sk_ ) @ n16 ) @ ( sum @ n14 @ ( succ @ sk_ ) ) )
!= ( sum @ ( sum @ ( pred @ sk_ ) @ ( succ @ sk_ ) ) @ n30 ) )
<= ( sk__1 = n15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl12688]) ).
thf(zip_derived_cl24939,plain,
( ( ( sum @ ( sum @ ( pred @ n0 ) @ n16 ) @ ( sum @ n14 @ ( succ @ n0 ) ) )
!= ( sum @ ( sum @ ( pred @ n0 ) @ ( succ @ n0 ) ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl24936]) ).
thf(zip_derived_cl33_9443,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9444,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_9445,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl33_9446,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2_9447,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl25001,plain,
( ( ( sum @ ( sum @ n30 @ n16 ) @ n15 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24939,zip_derived_cl33,zip_derived_cl2,zip_derived_cl499,zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl29835,plain,
( ( ( sum @ n15 @ n15 )
!= ( sum @ ( sum @ n30 @ n1 ) @ n30 ) )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl25001]) ).
thf(zip_derived_cl544_9448,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_9449,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_9450,plain,
( ( sum @ n0 @ n30 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl29837,plain,
( ( n30 != n30 )
<= ( ( sk__1 = n15 )
& ( sk_ = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29835,zip_derived_cl544,zip_derived_cl995,zip_derived_cl94]) ).
thf('961',plain,
( ( sk_ != n0 )
| ( sk__1 != n15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29837]) ).
thf('962',plain,
( ( sk_ = n0 )
| ( sk_ = n24 )
| ( sk_ = n1 )
| ( sk_ = n27 )
| ( sk_ = n29 )
| ( sk_ = n28 )
| ( sk_ = n2 )
| ( sk_ = n3 )
| ( sk_ = n4 )
| ( sk_ = n6 )
| ( sk_ = n7 )
| ( sk_ = n30 )
| ( sk_ = n9 )
| ( sk_ = n5 )
| ( sk_ = n11 )
| ( sk_ = n12 )
| ( sk_ = n13 )
| ( sk_ = n14 )
| ( sk_ = n10 )
| ( sk_ = n17 )
| ( sk_ = n18 )
| ( sk_ = n16 )
| ( sk_ = n15 )
| ( sk_ = n19 )
| ( sk_ = n21 )
| ( sk_ = n22 )
| ( sk_ = n20 )
| ( sk_ = n23 )
| ( sk_ = n26 )
| ( sk_ = n25 )
| ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl30304,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','678','679','680','681','682','683','684','685','686','687','688','689','690','691','692','693','694','695','696','697','698','699','700','701','702','703','704','705','706','707','708','709','710','711','712','713','714','715','716','717','718','719','720','721','722','723','724','725','726','727','728','729','730','731','732','733','734','735','736','737','738','739','740','741','742','743','744','745','746','747','748','749','750','751','752','753','754','755','756','757','758','759','760','761','762','763','764','765','766','767','768','769','770','771','772','773','774','775','776','777','778','779','780','781','782','783','784','785','786','787','788','789','790','791','792','793','794','795','796','797','798','799','800','801','802','803','804','805','806','807','808','809','810','811','812','813','814','815','816','817','818','819','820','821','822','823','824','825','826','827','828','829','830','831','832','833','834','835','836','837','838','839','840','841','842','843','844','845','846','847','848','849','850','851','852','853','854','855','856','857','858','859','860','861','862','863','864','865','866','867','868','869','870','871','872','873','874','875','876','877','878','879','880','881','882','883','884','885','886','887','888','889','890','891','892','893','894','895','896','897','898','899','900','901','902','903','904','905','906','907','908','909','910','911','912','913','914','915','916','917','918','919','920','921','922','923','924','925','926','927','928','929','930','931','932','933','934','935','936','937','938','939','940','941','942','943','944','945','946','947','948','949','950','951','952','953','954','955','956','957','958','959','960','961','962']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM376+1.030 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vNiicwl4PW true
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:22:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 37.97/6.01 % Solved by fo/fo1_av.sh.
% 37.97/6.01 % done 7490 iterations in 2.748s
% 37.97/6.01 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 37.97/6.01 % SZS output start Refutation
% See solution above
% 37.97/6.09
% 37.97/6.09
% 37.97/6.09 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 38.51/6.09 % Terminating...
% 38.52/6.20 % Runner terminated.
% 38.53/6.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------