%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM375+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.5kN1rhriqL true
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:46:18 PM UTC 2025
% Result : Unsatisfiable 51.18s 7.91s
% Output : Refutation 51.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 12075 (6846 unt; 0 typ; 0 def)
% Number of atoms : 21263 (21262 equ; 0 cnn)
% Maximal formula atoms : 1582 ( 1 avg)
% Number of connectives : 46285 (3379 ~;1141 |;3784 &;33718 @)
% ( 0 <=>; 0 =>;4263 <=; 0 <~>)
% Maximal formula depth : 1525 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 37 usr; 35 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(n22_type,type,
n22: $i ).
thf(n26_type,type,
n26: $i ).
thf(n24_type,type,
n24: $i ).
thf(n19_type,type,
n19: $i ).
thf(n11_type,type,
n11: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(n3_type,type,
n3: $i ).
thf(n30_type,type,
n30: $i ).
thf(n7_type,type,
n7: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(n23_type,type,
n23: $i ).
thf(n4_type,type,
n4: $i ).
thf(n18_type,type,
n18: $i ).
thf(n27_type,type,
n27: $i ).
thf(sk__type,type,
sk_: $i ).
thf(n13_type,type,
n13: $i ).
thf(n25_type,type,
n25: $i ).
thf(n10_type,type,
n10: $i ).
thf(n28_type,type,
n28: $i ).
thf(n29_type,type,
n29: $i ).
thf(n20_type,type,
n20: $i ).
thf(n9_type,type,
n9: $i ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(n6_type,type,
n6: $i ).
thf(n15_type,type,
n15: $i ).
thf(n0_type,type,
n0: $i ).
thf(n8_type,type,
n8: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(n14_type,type,
n14: $i ).
thf(n17_type,type,
n17: $i ).
thf(n12_type,type,
n12: $i ).
thf(n5_type,type,
n5: $i ).
thf(n21_type,type,
n21: $i ).
thf(n16_type,type,
n16: $i ).
thf(n1_type,type,
n1: $i ).
thf(n2_type,type,
n2: $i ).
thf(try_satisfy_this,axiom,
? [X: $i,Y: $i,Z: $i] :
( ( 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 )
& ( Z != n30 )
& ( Z != n29 )
& ( Z != n28 )
& ( Z != n27 )
& ( Z != n26 )
& ( Z != n25 )
& ( Z != n24 )
& ( Z != n23 )
& ( Z != n22 )
& ( Z != n21 )
& ( Z != n20 )
& ( Z != n19 )
& ( Z != n18 )
& ( Z != n17 )
& ( Z != n16 )
& ( Z != n15 )
& ( Z != n14 )
& ( Z != n13 )
& ( Z != n12 )
& ( Z != n11 )
& ( Z != n10 )
& ( Z != n9 )
& ( Z != n8 )
& ( Z != n7 )
& ( Z != n6 )
& ( Z != n5 )
& ( Z != n4 )
& ( Z != n3 )
& ( Z != n2 )
& ( Z != n1 )
& ( Z != n0 )
& ( Z
= ( sum @ ( pred @ ( sum @ X @ ( succ @ Y ) ) ) @ ( sum @ Y @ ( pred @ ( sum @ X @ Y ) ) ) ) )
& ( ( Y = 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_cl1055,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_cl1533,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1056,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_cl1579,plain,
( ( sk__1 = n26 )
<= ( sk__1 = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2568,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n26 ) ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1579,zip_derived_cl31]) ).
thf(zip_derived_cl58,plain,
( ( succ @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9142,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9154,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n11 @ n26 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl9142]) ).
thf(zip_derived_cl462,plain,
( ( sum @ n11 @ n27 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461,plain,
( ( sum @ n11 @ n26 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl905,plain,
( ( sum @ n26 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20188,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n11 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9154,zip_derived_cl462,zip_derived_cl70,zip_derived_cl461,zip_derived_cl69,zip_derived_cl905,zip_derived_cl280]) ).
thf(zip_derived_cl24,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('0',plain,
( ( sk_ != n11 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20188,zip_derived_cl24]) ).
thf(zip_derived_cl1552,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1581,plain,
( ( sk__1 = n28 )
<= ( sk__1 = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_001,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2631,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n28 ) ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1581,zip_derived_cl31]) ).
thf(zip_derived_cl60,plain,
( ( succ @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9295,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9326,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n30 @ n28 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl9295]) ).
thf(zip_derived_cl1053,plain,
( ( sum @ n30 @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1052,plain,
( ( sum @ n30 @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl988,plain,
( ( sum @ n28 @ n26 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl954,plain,
( ( sum @ n27 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20502,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n30 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9326,zip_derived_cl1053,zip_derived_cl91,zip_derived_cl1052,zip_derived_cl90,zip_derived_cl988,zip_derived_cl954]) ).
thf(zip_derived_cl11,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('1',plain,
( ( sk__1 != n28 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20502,zip_derived_cl11]) ).
thf(zip_derived_cl1551,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_002,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9325,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n29 @ n28 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl9295]) ).
thf(zip_derived_cl1022,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_003,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1021,plain,
( ( sum @ n29 @ n28 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl987,plain,
( ( sum @ n28 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl922,plain,
( ( sum @ n26 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20500,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n29 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9325,zip_derived_cl1022,zip_derived_cl90,zip_derived_cl1021,zip_derived_cl89,zip_derived_cl987,zip_derived_cl922]) ).
thf(zip_derived_cl13,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('2',plain,
( ( sk__1 != n28 )
| ( sk_ != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20500,zip_derived_cl13]) ).
thf(zip_derived_cl1550,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_004,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9324,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n28 @ n28 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl9295]) ).
thf(zip_derived_cl991,plain,
( ( sum @ n28 @ n29 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_005,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl990,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl986,plain,
( ( sum @ n28 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl890,plain,
( ( sum @ n25 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20498,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n28 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9324,zip_derived_cl991,zip_derived_cl89,zip_derived_cl990,zip_derived_cl88,zip_derived_cl986,zip_derived_cl890]) ).
thf(zip_derived_cl15,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('3',plain,
( ( sk__1 != n28 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20498,zip_derived_cl15]) ).
thf(zip_derived_cl1549,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_006,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9323,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n27 @ n28 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl9295]) ).
thf(zip_derived_cl960,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_007,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl959,plain,
( ( sum @ n27 @ n28 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl985,plain,
( ( sum @ n28 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl858,plain,
( ( sum @ n24 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20496,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n27 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9323,zip_derived_cl960,zip_derived_cl88,zip_derived_cl959,zip_derived_cl87,zip_derived_cl985,zip_derived_cl858]) ).
thf(zip_derived_cl17,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('4',plain,
( ( sk__1 != n28 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20496,zip_derived_cl17]) ).
thf(zip_derived_cl1548,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_008,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9322,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n26 @ n28 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl9295]) ).
thf(zip_derived_cl929,plain,
( ( sum @ n26 @ n29 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_009,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl928,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl984,plain,
( ( sum @ n28 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl826,plain,
( ( sum @ n23 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20494,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n26 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9322,zip_derived_cl929,zip_derived_cl87,zip_derived_cl928,zip_derived_cl86,zip_derived_cl984,zip_derived_cl826]) ).
thf(zip_derived_cl19,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('5',plain,
( ( sk__1 != n28 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20494,zip_derived_cl19]) ).
thf(zip_derived_cl1547,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9321,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n25 @ n28 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl9295]) ).
thf(zip_derived_cl898,plain,
( ( sum @ n25 @ n29 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_011,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl897,plain,
( ( sum @ n25 @ n28 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl983,plain,
( ( sum @ n28 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl794,plain,
( ( sum @ n22 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20492,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n25 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9321,zip_derived_cl898,zip_derived_cl86,zip_derived_cl897,zip_derived_cl85,zip_derived_cl983,zip_derived_cl794]) ).
thf(zip_derived_cl21,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('6',plain,
( ( sk__1 != n28 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20492,zip_derived_cl21]) ).
thf(zip_derived_cl1546,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_012,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9320,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n24 @ n28 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl9295]) ).
thf(zip_derived_cl867,plain,
( ( sum @ n24 @ n29 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_013,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866,plain,
( ( sum @ n24 @ n28 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl982,plain,
( ( sum @ n28 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl762,plain,
( ( sum @ n21 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20490,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n24 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9320,zip_derived_cl867,zip_derived_cl85,zip_derived_cl866,zip_derived_cl84,zip_derived_cl982,zip_derived_cl762]) ).
thf(zip_derived_cl23,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('7',plain,
( ( sk__1 != n28 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20490,zip_derived_cl23]) ).
thf(zip_derived_cl1545,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_014,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9319,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n23 @ n28 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl9295]) ).
thf(zip_derived_cl836,plain,
( ( sum @ n23 @ n29 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_015,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl835,plain,
( ( sum @ n23 @ n28 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl981,plain,
( ( sum @ n28 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730,plain,
( ( sum @ n20 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20488,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n23 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9319,zip_derived_cl836,zip_derived_cl84,zip_derived_cl835,zip_derived_cl83,zip_derived_cl981,zip_derived_cl730]) ).
thf(zip_derived_cl25,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('8',plain,
( ( sk__1 != n28 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20488,zip_derived_cl25]) ).
thf(zip_derived_cl1544,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_016,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9318,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n22 @ n28 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl9295]) ).
thf(zip_derived_cl805,plain,
( ( sum @ n22 @ n29 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_017,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl804,plain,
( ( sum @ n22 @ n28 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl980,plain,
( ( sum @ n28 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698,plain,
( ( sum @ n19 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20486,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n22 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9318,zip_derived_cl805,zip_derived_cl83,zip_derived_cl804,zip_derived_cl82,zip_derived_cl980,zip_derived_cl698]) ).
thf(zip_derived_cl27,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('9',plain,
( ( sk__1 != n28 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20486,zip_derived_cl27]) ).
thf(zip_derived_cl1543,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9317,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n21 @ n28 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl9295]) ).
thf(zip_derived_cl774,plain,
( ( sum @ n21 @ n29 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_019,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl773,plain,
( ( sum @ n21 @ n28 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl979,plain,
( ( sum @ n28 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666,plain,
( ( sum @ n18 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20482,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n21 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9317,zip_derived_cl774,zip_derived_cl82,zip_derived_cl773,zip_derived_cl81,zip_derived_cl979,zip_derived_cl666]) ).
thf(zip_derived_cl29,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('10',plain,
( ( sk__1 != n28 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20482,zip_derived_cl29]) ).
thf(zip_derived_cl1542,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_020,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9316,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n20 @ n28 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl9295]) ).
thf(zip_derived_cl743,plain,
( ( sum @ n20 @ n29 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_021,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742,plain,
( ( sum @ n20 @ n28 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl978,plain,
( ( sum @ n28 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634,plain,
( ( sum @ n17 @ n13 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20480,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n20 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9316,zip_derived_cl743,zip_derived_cl81,zip_derived_cl742,zip_derived_cl80,zip_derived_cl978,zip_derived_cl634]) ).
thf(zip_derived_cl0,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('11',plain,
( ( sk__1 != n28 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20480,zip_derived_cl0]) ).
thf(zip_derived_cl1541,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_022,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9315,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n19 @ n28 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl9295]) ).
thf(zip_derived_cl712,plain,
( ( sum @ n19 @ n29 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_023,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711,plain,
( ( sum @ n19 @ n28 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl977,plain,
( ( sum @ n28 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602,plain,
( ( sum @ n16 @ n12 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20478,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n19 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9315,zip_derived_cl712,zip_derived_cl80,zip_derived_cl711,zip_derived_cl79,zip_derived_cl977,zip_derived_cl602]) ).
thf(zip_derived_cl2,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('12',plain,
( ( sk__1 != n28 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20478,zip_derived_cl2]) ).
thf(zip_derived_cl1540,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_024,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9314,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n18 @ n28 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl9295]) ).
thf(zip_derived_cl681,plain,
( ( sum @ n18 @ n29 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_025,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680,plain,
( ( sum @ n18 @ n28 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl976,plain,
( ( sum @ n28 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570,plain,
( ( sum @ n15 @ n11 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20476,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n18 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9314,zip_derived_cl681,zip_derived_cl79,zip_derived_cl680,zip_derived_cl78,zip_derived_cl976,zip_derived_cl570]) ).
thf(zip_derived_cl4,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('13',plain,
( ( sk__1 != n28 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20476,zip_derived_cl4]) ).
thf(zip_derived_cl1539,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_026,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9313,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n17 @ n28 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl9295]) ).
thf(zip_derived_cl650,plain,
( ( sum @ n17 @ n29 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_027,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649,plain,
( ( sum @ n17 @ n28 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl975,plain,
( ( sum @ n28 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20474,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n17 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9313,zip_derived_cl650,zip_derived_cl78,zip_derived_cl649,zip_derived_cl77,zip_derived_cl975,zip_derived_cl538]) ).
thf(zip_derived_cl6,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('14',plain,
( ( sk__1 != n28 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20474,zip_derived_cl6]) ).
thf(zip_derived_cl1538,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_028,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9312,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n16 @ n28 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl9295]) ).
thf(zip_derived_cl619,plain,
( ( sum @ n16 @ n29 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_029,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618,plain,
( ( sum @ n16 @ n28 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl974,plain,
( ( sum @ n28 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20472,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n16 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9312,zip_derived_cl619,zip_derived_cl77,zip_derived_cl618,zip_derived_cl76,zip_derived_cl974,zip_derived_cl506]) ).
thf(zip_derived_cl8,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('15',plain,
( ( sk__1 != n28 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20472,zip_derived_cl8]) ).
thf(zip_derived_cl1537,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_030,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9311,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n15 @ n28 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl9295]) ).
thf(zip_derived_cl588,plain,
( ( sum @ n15 @ n29 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_031,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587,plain,
( ( sum @ n15 @ n28 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl973,plain,
( ( sum @ n28 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20470,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n15 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9311,zip_derived_cl588,zip_derived_cl76,zip_derived_cl587,zip_derived_cl75,zip_derived_cl973,zip_derived_cl474]) ).
thf(zip_derived_cl10,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('16',plain,
( ( sk__1 != n28 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20470,zip_derived_cl10]) ).
thf(zip_derived_cl1536,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_032,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9310,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n14 @ n28 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl9295]) ).
thf(zip_derived_cl557,plain,
( ( sum @ n14 @ n29 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_033,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556,plain,
( ( sum @ n14 @ n28 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl972,plain,
( ( sum @ n28 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20468,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n14 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9310,zip_derived_cl557,zip_derived_cl75,zip_derived_cl556,zip_derived_cl74,zip_derived_cl972,zip_derived_cl442]) ).
thf(zip_derived_cl12,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('17',plain,
( ( sk__1 != n28 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20468,zip_derived_cl12]) ).
thf(zip_derived_cl1535,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_034,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9309,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n13 @ n28 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl9295]) ).
thf(zip_derived_cl526,plain,
( ( sum @ n13 @ n29 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_035,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525,plain,
( ( sum @ n13 @ n28 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl971,plain,
( ( sum @ n28 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20466,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n13 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9309,zip_derived_cl526,zip_derived_cl74,zip_derived_cl525,zip_derived_cl73,zip_derived_cl971,zip_derived_cl410]) ).
thf(zip_derived_cl14,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('18',plain,
( ( sk__1 != n28 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20466,zip_derived_cl14]) ).
thf(zip_derived_cl1534,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_036,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9308,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n12 @ n28 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl9295]) ).
thf(zip_derived_cl495,plain,
( ( sum @ n12 @ n29 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_037,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494,plain,
( ( sum @ n12 @ n28 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl970,plain,
( ( sum @ n28 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20464,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n12 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9308,zip_derived_cl495,zip_derived_cl73,zip_derived_cl494,zip_derived_cl72,zip_derived_cl970,zip_derived_cl378]) ).
thf(zip_derived_cl16,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('19',plain,
( ( sk__1 != n28 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20464,zip_derived_cl16]) ).
thf(zip_derived_cl1533_038,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_039,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9307,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n11 @ n28 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl9295]) ).
thf(zip_derived_cl464,plain,
( ( sum @ n11 @ n29 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_040,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463,plain,
( ( sum @ n11 @ n28 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl969,plain,
( ( sum @ n28 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20460,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n11 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9307,zip_derived_cl464,zip_derived_cl72,zip_derived_cl463,zip_derived_cl71,zip_derived_cl969,zip_derived_cl346]) ).
thf(zip_derived_cl18,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('20',plain,
( ( sk__1 != n28 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20460,zip_derived_cl18]) ).
thf(zip_derived_cl1532,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_041,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9306,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n10 @ n28 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl9295]) ).
thf(zip_derived_cl433,plain,
( ( sum @ n10 @ n29 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_042,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432,plain,
( ( sum @ n10 @ n28 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_043,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl968,plain,
( ( sum @ n28 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20458,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n10 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9306,zip_derived_cl433,zip_derived_cl71,zip_derived_cl432,zip_derived_cl70,zip_derived_cl968,zip_derived_cl314]) ).
thf(zip_derived_cl20,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('21',plain,
( ( sk__1 != n28 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20458,zip_derived_cl20]) ).
thf(zip_derived_cl1531,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_044,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9305,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n9 @ n28 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl9295]) ).
thf(zip_derived_cl402,plain,
( ( sum @ n9 @ n29 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_045,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401,plain,
( ( sum @ n9 @ n28 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_046,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl967,plain,
( ( sum @ n28 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20456,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n9 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9305,zip_derived_cl402,zip_derived_cl70,zip_derived_cl401,zip_derived_cl69,zip_derived_cl967,zip_derived_cl282]) ).
thf(zip_derived_cl22,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('22',plain,
( ( sk__1 != n28 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20456,zip_derived_cl22]) ).
thf(zip_derived_cl1530,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_047,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9304,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n8 @ n28 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl9295]) ).
thf(zip_derived_cl371,plain,
( ( sum @ n8 @ n29 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_048,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370,plain,
( ( sum @ n8 @ n28 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl966,plain,
( ( sum @ n28 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20454,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n8 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9304,zip_derived_cl371,zip_derived_cl69,zip_derived_cl370,zip_derived_cl68,zip_derived_cl966,zip_derived_cl250]) ).
thf(zip_derived_cl24_049,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('23',plain,
( ( sk__1 != n28 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20454,zip_derived_cl24]) ).
thf(zip_derived_cl1529,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_050,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9303,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n7 @ n28 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl9295]) ).
thf(zip_derived_cl340,plain,
( ( sum @ n7 @ n29 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_051,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339,plain,
( ( sum @ n7 @ n28 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl965,plain,
( ( sum @ n28 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20452,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n7 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9303,zip_derived_cl340,zip_derived_cl68,zip_derived_cl339,zip_derived_cl67,zip_derived_cl965,zip_derived_cl218]) ).
thf(zip_derived_cl26,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('24',plain,
( ( sk__1 != n28 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20452,zip_derived_cl26]) ).
thf(zip_derived_cl1528,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_052,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9302,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n6 @ n28 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl9295]) ).
thf(zip_derived_cl309,plain,
( ( sum @ n6 @ n29 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_053,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308,plain,
( ( sum @ n6 @ n28 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl964,plain,
( ( sum @ n28 @ n2 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217,plain,
( ( sum @ n3 @ n30 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20450,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n6 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9302,zip_derived_cl309,zip_derived_cl67,zip_derived_cl308,zip_derived_cl66,zip_derived_cl964,zip_derived_cl217]) ).
thf(zip_derived_cl28,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('25',plain,
( ( sk__1 != n28 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20450,zip_derived_cl28]) ).
thf(zip_derived_cl1527,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_054,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9301,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n5 @ n28 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl9295]) ).
thf(zip_derived_cl278,plain,
( ( sum @ n5 @ n29 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_055,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277,plain,
( ( sum @ n5 @ n28 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963,plain,
( ( sum @ n28 @ n1 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185,plain,
( ( sum @ n2 @ n29 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20448,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n5 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9301,zip_derived_cl278,zip_derived_cl66,zip_derived_cl277,zip_derived_cl65,zip_derived_cl963,zip_derived_cl185]) ).
thf(zip_derived_cl30,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('26',plain,
( ( sk__1 != n28 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20448,zip_derived_cl30]) ).
thf(zip_derived_cl1526,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_056,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9300,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n4 @ n28 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl9295]) ).
thf(zip_derived_cl247,plain,
( ( sum @ n4 @ n29 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_057,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246,plain,
( ( sum @ n4 @ n28 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962,plain,
( ( sum @ n28 @ n0 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153,plain,
( ( sum @ n1 @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20446,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n4 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9300,zip_derived_cl247,zip_derived_cl65,zip_derived_cl246,zip_derived_cl64,zip_derived_cl962,zip_derived_cl153]) ).
thf(zip_derived_cl1,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('27',plain,
( ( sk__1 != n28 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20446,zip_derived_cl1]) ).
thf(zip_derived_cl1525,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_058,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9299,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n3 @ n28 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl9295]) ).
thf(zip_derived_cl216,plain,
( ( sum @ n3 @ n29 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_059,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215,plain,
( ( sum @ n3 @ n28 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl992,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121,plain,
( ( sum @ n0 @ n27 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20444,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n3 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9299,zip_derived_cl216,zip_derived_cl64,zip_derived_cl215,zip_derived_cl63,zip_derived_cl992,zip_derived_cl121]) ).
thf(zip_derived_cl3,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('28',plain,
( ( sk__1 != n28 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20444,zip_derived_cl3]) ).
thf(zip_derived_cl1524,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_060,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9298,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n2 @ n28 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl9295]) ).
thf(zip_derived_cl185_061,plain,
( ( sum @ n2 @ n29 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_062,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184,plain,
( ( sum @ n2 @ n28 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl991_063,plain,
( ( sum @ n28 @ n29 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1050,plain,
( ( sum @ n30 @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20442,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n2 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9298,zip_derived_cl185,zip_derived_cl63,zip_derived_cl184,zip_derived_cl93,zip_derived_cl991,zip_derived_cl1050]) ).
thf(zip_derived_cl5,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('29',plain,
( ( sk__1 != n28 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20442,zip_derived_cl5]) ).
thf(zip_derived_cl1523,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_064,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9297,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n1 @ n28 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl9295]) ).
thf(zip_derived_cl154,plain,
( ( sum @ n1 @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_065,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_066,plain,
( ( sum @ n1 @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl990_067,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1018,plain,
( ( sum @ n29 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20438,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n1 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9297,zip_derived_cl154,zip_derived_cl93,zip_derived_cl153,zip_derived_cl92,zip_derived_cl990,zip_derived_cl1018]) ).
thf(zip_derived_cl7,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('30',plain,
( ( sk__1 != n28 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20438,zip_derived_cl7]) ).
thf(zip_derived_cl1522,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9295_068,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ sk_ @ n28 ) ) ) ) )
<= ( sk__1 = n28 ) ),
inference(demod,[status(thm)],[zip_derived_cl2631,zip_derived_cl60]) ).
thf(zip_derived_cl9296,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n29 ) ) @ ( sum @ n28 @ ( pred @ ( sum @ n0 @ n28 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n28 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl9295]) ).
thf(zip_derived_cl123,plain,
( ( sum @ n0 @ n29 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_069,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122,plain,
( ( sum @ n0 @ n28 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_070,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl989,plain,
( ( sum @ n28 @ n27 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl986_071,plain,
( ( sum @ n28 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20436,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n0 )
& ( sk__1 = n28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9296,zip_derived_cl123,zip_derived_cl92,zip_derived_cl122,zip_derived_cl91,zip_derived_cl989,zip_derived_cl986]) ).
thf(zip_derived_cl9,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('31',plain,
( ( sk__1 != n28 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20436,zip_derived_cl9]) ).
thf(zip_derived_cl1522_072,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1582,plain,
( ( sk__1 = n29 )
<= ( sk__1 = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_073,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2662,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n29 ) ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1582,zip_derived_cl31]) ).
thf(zip_derived_cl61,plain,
( ( succ @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9362,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9363,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n0 @ n29 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl9362]) ).
thf(zip_derived_cl124,plain,
( ( sum @ n0 @ n30 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_074,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_075,plain,
( ( sum @ n0 @ n29 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_076,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1021_077,plain,
( ( sum @ n29 @ n28 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1019,plain,
( ( sum @ n29 @ n26 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20574,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n0 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9363,zip_derived_cl124,zip_derived_cl93,zip_derived_cl123,zip_derived_cl92,zip_derived_cl1021,zip_derived_cl1019]) ).
thf(zip_derived_cl6_078,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('32',plain,
( ( sk_ != n0 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20574,zip_derived_cl6]) ).
thf(zip_derived_cl1522_079,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1580,plain,
( ( sk__1 = n27 )
<= ( sk__1 = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_080,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2597,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n27 ) ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1580,zip_derived_cl31]) ).
thf(zip_derived_cl59,plain,
( ( succ @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9230,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9231,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n0 @ n27 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl9230]) ).
thf(zip_derived_cl122_081,plain,
( ( sum @ n0 @ n28 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_082,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_083,plain,
( ( sum @ n0 @ n27 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_084,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl957,plain,
( ( sum @ n27 @ n26 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl953,plain,
( ( sum @ n27 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20300,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n0 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9231,zip_derived_cl122,zip_derived_cl91,zip_derived_cl121,zip_derived_cl90,zip_derived_cl957,zip_derived_cl953]) ).
thf(zip_derived_cl12_085,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('33',plain,
( ( sk_ != n0 )
| ( sk__1 != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20300,zip_derived_cl12]) ).
thf(zip_derived_cl1522_086,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_087,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9143,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n0 @ n26 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl9142]) ).
thf(zip_derived_cl121_088,plain,
( ( sum @ n0 @ n27 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_089,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120,plain,
( ( sum @ n0 @ n26 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_090,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl925,plain,
( ( sum @ n26 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl920,plain,
( ( sum @ n26 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20164,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n0 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9143,zip_derived_cl121,zip_derived_cl90,zip_derived_cl120,zip_derived_cl89,zip_derived_cl925,zip_derived_cl920]) ).
thf(zip_derived_cl15_091,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('34',plain,
( ( sk_ != n0 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20164,zip_derived_cl15]) ).
thf(zip_derived_cl1522_092,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1578,plain,
( ( sk__1 = n25 )
<= ( sk__1 = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_093,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2540,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n25 ) ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1578,zip_derived_cl31]) ).
thf(zip_derived_cl57,plain,
( ( succ @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9077,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9078,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n0 @ n25 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl9077]) ).
thf(zip_derived_cl120_094,plain,
( ( sum @ n0 @ n26 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_095,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_096,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl893,plain,
( ( sum @ n25 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl887,plain,
( ( sum @ n25 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20028,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n0 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9078,zip_derived_cl120,zip_derived_cl89,zip_derived_cl119,zip_derived_cl88,zip_derived_cl893,zip_derived_cl887]) ).
thf(zip_derived_cl18_097,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('35',plain,
( ( sk_ != n0 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20028,zip_derived_cl18]) ).
thf(zip_derived_cl1522_098,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1577,plain,
( ( sk__1 = n24 )
<= ( sk__1 = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_099,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2513,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n24 ) ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1577,zip_derived_cl31]) ).
thf(zip_derived_cl56,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9012,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9013,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n0 @ n24 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl9012]) ).
thf(zip_derived_cl119_100,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_101,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_102,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl861,plain,
( ( sum @ n24 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl854,plain,
( ( sum @ n24 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19892,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n0 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9013,zip_derived_cl119,zip_derived_cl88,zip_derived_cl118,zip_derived_cl87,zip_derived_cl861,zip_derived_cl854]) ).
thf(zip_derived_cl21_103,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('36',plain,
( ( sk_ != n0 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19892,zip_derived_cl21]) ).
thf(zip_derived_cl1522_104,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1576,plain,
( ( sk__1 = n23 )
<= ( sk__1 = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_105,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2474,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n23 ) ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1576,zip_derived_cl31]) ).
thf(zip_derived_cl55,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8947,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8948,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n0 @ n23 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8947]) ).
thf(zip_derived_cl118_106,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_107,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_108,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl829,plain,
( ( sum @ n23 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl821,plain,
( ( sum @ n23 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19754,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n0 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8948,zip_derived_cl118,zip_derived_cl87,zip_derived_cl117,zip_derived_cl86,zip_derived_cl829,zip_derived_cl821]) ).
thf(zip_derived_cl24_109,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('37',plain,
( ( sk_ != n0 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19754,zip_derived_cl24]) ).
thf(zip_derived_cl1522_110,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1575,plain,
( ( sk__1 = n22 )
<= ( sk__1 = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_111,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2449,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n22 ) ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1575,zip_derived_cl31]) ).
thf(zip_derived_cl54,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8882,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8883,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n0 @ n22 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8882]) ).
thf(zip_derived_cl117_112,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_113,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_114,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl797,plain,
( ( sum @ n22 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl788,plain,
( ( sum @ n22 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19618,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n0 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8883,zip_derived_cl117,zip_derived_cl86,zip_derived_cl116,zip_derived_cl85,zip_derived_cl797,zip_derived_cl788]) ).
thf(zip_derived_cl27_115,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('38',plain,
( ( sk_ != n0 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19618,zip_derived_cl27]) ).
thf(zip_derived_cl1522_116,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1574,plain,
( ( sk__1 = n21 )
<= ( sk__1 = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_117,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2425,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n21 ) ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1574,zip_derived_cl31]) ).
thf(zip_derived_cl53,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8814,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8815,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n0 @ n21 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8814]) ).
thf(zip_derived_cl116_118,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_119,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_120,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl765,plain,
( ( sum @ n21 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl755,plain,
( ( sum @ n21 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19482,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n0 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8815,zip_derived_cl116,zip_derived_cl85,zip_derived_cl115,zip_derived_cl84,zip_derived_cl765,zip_derived_cl755]) ).
thf(zip_derived_cl30_121,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('39',plain,
( ( sk_ != n0 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19482,zip_derived_cl30]) ).
thf(zip_derived_cl1522_122,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1573,plain,
( ( sk__1 = n20 )
<= ( sk__1 = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_123,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2402,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n20 ) ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1573,zip_derived_cl31]) ).
thf(zip_derived_cl52,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8738,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8739,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n0 @ n20 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8738]) ).
thf(zip_derived_cl115_124,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_125,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_126,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733,plain,
( ( sum @ n20 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722,plain,
( ( sum @ n20 @ n8 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19346,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n0 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8739,zip_derived_cl115,zip_derived_cl84,zip_derived_cl114,zip_derived_cl83,zip_derived_cl733,zip_derived_cl722]) ).
thf(zip_derived_cl2_127,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('40',plain,
( ( sk_ != n0 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19346,zip_derived_cl2]) ).
thf(zip_derived_cl1522_128,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1572,plain,
( ( sk__1 = n19 )
<= ( sk__1 = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_129,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2374,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n19 ) ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1572,zip_derived_cl31]) ).
thf(zip_derived_cl51,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8673,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8674,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n0 @ n19 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8673]) ).
thf(zip_derived_cl114_130,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_131,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_132,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl701,plain,
( ( sum @ n19 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl689,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19210,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n0 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8674,zip_derived_cl114,zip_derived_cl83,zip_derived_cl113,zip_derived_cl82,zip_derived_cl701,zip_derived_cl689]) ).
thf(zip_derived_cl5_133,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('41',plain,
( ( sk_ != n0 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19210,zip_derived_cl5]) ).
thf(zip_derived_cl1522_134,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1571,plain,
( ( sk__1 = n18 )
<= ( sk__1 = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_135,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2353,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n18 ) ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1571,zip_derived_cl31]) ).
thf(zip_derived_cl50,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8598,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8599,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n0 @ n18 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8598]) ).
thf(zip_derived_cl113_136,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_137,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_138,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl669,plain,
( ( sum @ n18 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19072,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n0 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8599,zip_derived_cl113,zip_derived_cl82,zip_derived_cl112,zip_derived_cl81,zip_derived_cl669,zip_derived_cl656]) ).
thf(zip_derived_cl8_139,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('42',plain,
( ( sk_ != n0 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19072,zip_derived_cl8]) ).
thf(zip_derived_cl1522_140,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1570,plain,
( ( sk__1 = n17 )
<= ( sk__1 = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_141,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2333,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n17 ) ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1570,zip_derived_cl31]) ).
thf(zip_derived_cl49,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8529,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8530,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n0 @ n17 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8529]) ).
thf(zip_derived_cl112_142,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_143,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_144,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl637,plain,
( ( sum @ n17 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18936,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n0 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8530,zip_derived_cl112,zip_derived_cl81,zip_derived_cl111,zip_derived_cl80,zip_derived_cl637,zip_derived_cl623]) ).
thf(zip_derived_cl11_145,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('43',plain,
( ( sk_ != n0 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18936,zip_derived_cl11]) ).
thf(zip_derived_cl1522_146,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1569,plain,
( ( sk__1 = n16 )
<= ( sk__1 = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_147,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2314,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n16 ) ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1569,zip_derived_cl31]) ).
thf(zip_derived_cl48,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8461,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8462,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n0 @ n16 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8461]) ).
thf(zip_derived_cl111_148,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_149,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_150,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl605,plain,
( ( sum @ n16 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18800,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n0 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8462,zip_derived_cl111,zip_derived_cl80,zip_derived_cl110,zip_derived_cl79,zip_derived_cl605,zip_derived_cl590]) ).
thf(zip_derived_cl14_151,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('44',plain,
( ( sk_ != n0 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18800,zip_derived_cl14]) ).
thf(zip_derived_cl1522_152,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1568,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_153,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2286,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n15 ) ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1568,zip_derived_cl31]) ).
thf(zip_derived_cl47,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8396,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8397,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n0 @ n15 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8396]) ).
thf(zip_derived_cl110_154,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_155,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_156,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl573,plain,
( ( sum @ n15 @ n14 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588_157,plain,
( ( sum @ n15 @ n29 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18664,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n0 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8397,zip_derived_cl110,zip_derived_cl79,zip_derived_cl109,zip_derived_cl78,zip_derived_cl573,zip_derived_cl588]) ).
thf(zip_derived_cl17_158,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('45',plain,
( ( sk_ != n0 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18664,zip_derived_cl17]) ).
thf(zip_derived_cl1522_159,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1567,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_160,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2269,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl31]) ).
thf(zip_derived_cl46,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8317,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8318,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n0 @ n14 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8317]) ).
thf(zip_derived_cl109_161,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_162,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_163,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl541,plain,
( ( sum @ n14 @ n13 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555,plain,
( ( sum @ n14 @ n27 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18528,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n0 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8318,zip_derived_cl109,zip_derived_cl78,zip_derived_cl108,zip_derived_cl77,zip_derived_cl541,zip_derived_cl555]) ).
thf(zip_derived_cl20_164,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('46',plain,
( ( sk_ != n0 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18528,zip_derived_cl20]) ).
thf(zip_derived_cl1522_165,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1566,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_166,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl31]) ).
thf(zip_derived_cl45,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8252,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n0 @ n13 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8252]) ).
thf(zip_derived_cl108_167,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_168,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_169,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl509,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522,plain,
( ( sum @ n13 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18390,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n0 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8253,zip_derived_cl108,zip_derived_cl77,zip_derived_cl107,zip_derived_cl76,zip_derived_cl509,zip_derived_cl522]) ).
thf(zip_derived_cl23_170,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('47',plain,
( ( sk_ != n0 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18390,zip_derived_cl23]) ).
thf(zip_derived_cl1522_171,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1565,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_172,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2238,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl31]) ).
thf(zip_derived_cl44,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8182,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8183,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n0 @ n12 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl8182]) ).
thf(zip_derived_cl107_173,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_174,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_175,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489,plain,
( ( sum @ n12 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18254,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n0 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8183,zip_derived_cl107,zip_derived_cl76,zip_derived_cl106,zip_derived_cl75,zip_derived_cl477,zip_derived_cl489]) ).
thf(zip_derived_cl26_176,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('48',plain,
( ( sk_ != n0 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18254,zip_derived_cl26]) ).
thf(zip_derived_cl1522_177,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl43,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1564,plain,
( ( sk__1 = n11 )
<= ( sk__1 = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_178,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2149,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n11 ) ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1564,zip_derived_cl31]) ).
thf(zip_derived_cl5421,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5422,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n0 @ n11 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl5421]) ).
thf(zip_derived_cl106_179,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_180,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_181,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456,plain,
( ( sum @ n11 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16042,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n0 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5422,zip_derived_cl106,zip_derived_cl75,zip_derived_cl105,zip_derived_cl74,zip_derived_cl445,zip_derived_cl456]) ).
thf(zip_derived_cl29_182,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('49',plain,
( ( sk_ != n0 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16042,zip_derived_cl29]) ).
thf(zip_derived_cl1522_183,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl42,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1563,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_184,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2148,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n10 ) ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1563,zip_derived_cl31]) ).
thf(zip_derived_cl4980,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4981,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n0 @ n10 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl4980]) ).
thf(zip_derived_cl105_185,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_186,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_187,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423,plain,
( ( sum @ n10 @ n19 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15456,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n0 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4981,zip_derived_cl105,zip_derived_cl74,zip_derived_cl104,zip_derived_cl73,zip_derived_cl413,zip_derived_cl423]) ).
thf(zip_derived_cl1_188,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('50',plain,
( ( sk_ != n0 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15456,zip_derived_cl1]) ).
thf(zip_derived_cl1522_189,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl41,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1562,plain,
( ( sk__1 = n9 )
<= ( sk__1 = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_190,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2147,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n9 ) ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1562,zip_derived_cl31]) ).
thf(zip_derived_cl4537,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4538,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n0 @ n9 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl4537]) ).
thf(zip_derived_cl104_191,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_192,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_193,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390,plain,
( ( sum @ n9 @ n17 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14997,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n0 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4538,zip_derived_cl104,zip_derived_cl73,zip_derived_cl103,zip_derived_cl72,zip_derived_cl381,zip_derived_cl390]) ).
thf(zip_derived_cl4_194,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('51',plain,
( ( sk_ != n0 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14997,zip_derived_cl4]) ).
thf(zip_derived_cl1522_195,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl40,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1561,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_196,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2146,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n8 ) ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1561,zip_derived_cl31]) ).
thf(zip_derived_cl4087,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4088,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n0 @ n8 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl4087]) ).
thf(zip_derived_cl103_197,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_198,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_199,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14569,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n0 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4088,zip_derived_cl103,zip_derived_cl72,zip_derived_cl102,zip_derived_cl71,zip_derived_cl349,zip_derived_cl357]) ).
thf(zip_derived_cl7_200,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('52',plain,
( ( sk_ != n0 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14569,zip_derived_cl7]) ).
thf(zip_derived_cl1522_201,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl39,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1560,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_202,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2145,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n7 ) ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1560,zip_derived_cl31]) ).
thf(zip_derived_cl3666,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3667,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n0 @ n7 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl3666]) ).
thf(zip_derived_cl102_203,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_204,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_205,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14251,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n0 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3667,zip_derived_cl102,zip_derived_cl71,zip_derived_cl101,zip_derived_cl70,zip_derived_cl317,zip_derived_cl324]) ).
thf(zip_derived_cl10_206,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('53',plain,
( ( sk_ != n0 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14251,zip_derived_cl10]) ).
thf(zip_derived_cl1522_207,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl38,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1559,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_208,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2144,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n6 ) ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1559,zip_derived_cl31]) ).
thf(zip_derived_cl3394,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3404,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n0 @ n6 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl3394]) ).
thf(zip_derived_cl101_209,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_210,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_211,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14176,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n0 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3404,zip_derived_cl101,zip_derived_cl70,zip_derived_cl100,zip_derived_cl69,zip_derived_cl285,zip_derived_cl291]) ).
thf(zip_derived_cl13_212,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('54',plain,
( ( sk_ != n0 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14176,zip_derived_cl13]) ).
thf(zip_derived_cl1522_213,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1558,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_214,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2143,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n5 ) ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1558,zip_derived_cl31]) ).
thf(zip_derived_cl37,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3108,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n0 @ n5 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl3103]) ).
thf(zip_derived_cl100_215,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_216,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_217,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14074,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n0 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3108,zip_derived_cl100,zip_derived_cl69,zip_derived_cl99,zip_derived_cl68,zip_derived_cl253,zip_derived_cl258]) ).
thf(zip_derived_cl16_218,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('55',plain,
( ( sk_ != n0 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14074,zip_derived_cl16]) ).
thf(zip_derived_cl1522_219,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1557,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_220,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2142,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n4 ) ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl31]) ).
thf(zip_derived_cl36,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl3009,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3013,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n0 @ n4 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl3009]) ).
thf(zip_derived_cl99_221,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_222,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_223,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13990,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n0 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3013,zip_derived_cl99,zip_derived_cl68,zip_derived_cl98,zip_derived_cl67,zip_derived_cl221,zip_derived_cl225]) ).
thf(zip_derived_cl19_224,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('56',plain,
( ( sk_ != n0 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13990,zip_derived_cl19]) ).
thf(zip_derived_cl1522_225,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1556,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_226,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2141,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n3 ) ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1556,zip_derived_cl31]) ).
thf(zip_derived_cl35,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2932,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2935,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n0 @ n3 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl2932]) ).
thf(zip_derived_cl98_227,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_228,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_229,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13905,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n0 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2935,zip_derived_cl98,zip_derived_cl67,zip_derived_cl97,zip_derived_cl66,zip_derived_cl189,zip_derived_cl192]) ).
thf(zip_derived_cl22_230,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('57',plain,
( ( sk_ != n0 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13905,zip_derived_cl22]) ).
thf(zip_derived_cl1522_231,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1555,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_232,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2140,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n2 ) ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1555,zip_derived_cl31]) ).
thf(zip_derived_cl34,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2861,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2863,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n0 @ n2 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl2861]) ).
thf(zip_derived_cl97_233,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_234,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_235,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13833,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n0 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2863,zip_derived_cl97,zip_derived_cl66,zip_derived_cl96,zip_derived_cl65,zip_derived_cl157,zip_derived_cl159]) ).
thf(zip_derived_cl25_236,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('58',plain,
( ( sk_ != n0 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13833,zip_derived_cl25]) ).
thf(zip_derived_cl1522_237,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1554,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_238,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2139,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n1 ) ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1554,zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2796,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2797,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n0 @ n1 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl2796]) ).
thf(zip_derived_cl96_239,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_240,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_241,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13776,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n0 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2797,zip_derived_cl96,zip_derived_cl65,zip_derived_cl95,zip_derived_cl64,zip_derived_cl125,zip_derived_cl126]) ).
thf(zip_derived_cl28_242,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('59',plain,
( ( sk_ != n0 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13776,zip_derived_cl28]) ).
thf(zip_derived_cl1522_243,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1553,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_244,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2138,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n0 ) ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1553,zip_derived_cl31]) ).
thf(zip_derived_cl32,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2727,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2728,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n0 @ n0 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl2727]) ).
thf(zip_derived_cl95_245,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_246,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_247,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_248,plain,
( ( sum @ n0 @ n30 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_249,plain,
( ( sum @ n0 @ n30 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13718,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n0 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2728,zip_derived_cl95,zip_derived_cl64,zip_derived_cl94,zip_derived_cl63,zip_derived_cl124,zip_derived_cl124]) ).
thf(zip_derived_cl0_250,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('60',plain,
( ( sk_ != n0 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13718,zip_derived_cl0]) ).
thf(zip_derived_cl1522_251,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl1583,plain,
( ( sk__1 = n30 )
<= ( sk__1 = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl31_252,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2694,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ n30 ) ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl31]) ).
thf(zip_derived_cl62,plain,
( ( succ @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9427,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9428,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n0 @ n30 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1522,zip_derived_cl9427]) ).
thf(zip_derived_cl94_253,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_254,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_255,plain,
( ( sum @ n0 @ n30 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_256,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1053_257,plain,
( ( sum @ n30 @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1052_258,plain,
( ( sum @ n30 @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20710,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n0 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9428,zip_derived_cl94,zip_derived_cl63,zip_derived_cl124,zip_derived_cl93,zip_derived_cl1053,zip_derived_cl1052]) ).
thf(zip_derived_cl3_259,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('61',plain,
( ( sk_ != n0 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20710,zip_derived_cl3]) ).
thf(zip_derived_cl995,plain,
( ( sum @ n29 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_260,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_261,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2826,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n29 @ n1 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl2796]) ).
thf(zip_derived_cl16339,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n1 @ ( pred @ ( sum @ n29 @ n1 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl995,zip_derived_cl2826]) ).
thf(zip_derived_cl63_262,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl994,plain,
( ( sum @ n29 @ n1 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_263,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_264,plain,
( ( sum @ n1 @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16343,plain,
( ( sk__2
= ( sum @ n30 @ n30 ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16339,zip_derived_cl63,zip_derived_cl994,zip_derived_cl93,zip_derived_cl154]) ).
thf(zip_derived_cl1054,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16802,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n29 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16343,zip_derived_cl1054]) ).
thf(zip_derived_cl1_265,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('62',plain,
( ( sk__1 != n1 )
| ( sk_ != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16802,zip_derived_cl1]) ).
thf(zip_derived_cl1026,plain,
( ( sum @ n30 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_266,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_267,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2827,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n30 @ n1 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl2796]) ).
thf(zip_derived_cl16583,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n1 @ ( pred @ ( sum @ n30 @ n1 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1026,zip_derived_cl2827]) ).
thf(zip_derived_cl64_268,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1025,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_269,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155,plain,
( ( sum @ n1 @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_270,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16587,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n30 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16583,zip_derived_cl64,zip_derived_cl1025,zip_derived_cl63,zip_derived_cl155,zip_derived_cl94]) ).
thf(zip_derived_cl30_271,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('63',plain,
( ( sk__1 != n1 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16587,zip_derived_cl30]) ).
thf(zip_derived_cl964_272,plain,
( ( sum @ n28 @ n2 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_273,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_274,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2825,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n28 @ n1 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl2796]) ).
thf(zip_derived_cl16112,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n1 @ ( pred @ ( sum @ n28 @ n1 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl964,zip_derived_cl2825]) ).
thf(zip_derived_cl93_275,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl963_276,plain,
( ( sum @ n28 @ n1 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_277,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_278,plain,
( ( sum @ n1 @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16116,plain,
( ( sk__2
= ( sum @ n29 @ n29 ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16112,zip_derived_cl93,zip_derived_cl963,zip_derived_cl92,zip_derived_cl153]) ).
thf(zip_derived_cl1022_279,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16546,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n28 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16116,zip_derived_cl1022]) ).
thf(zip_derived_cl3_280,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('64',plain,
( ( sk__1 != n1 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16546,zip_derived_cl3]) ).
thf(zip_derived_cl933,plain,
( ( sum @ n27 @ n2 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_281,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_282,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2824,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n27 @ n1 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl2796]) ).
thf(zip_derived_cl15881,plain,
( ( sk__2
= ( sum @ ( pred @ n29 ) @ ( sum @ n1 @ ( pred @ ( sum @ n27 @ n1 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl933,zip_derived_cl2824]) ).
thf(zip_derived_cl92_283,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl932,plain,
( ( sum @ n27 @ n1 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_284,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152,plain,
( ( sum @ n1 @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15885,plain,
( ( sk__2
= ( sum @ n28 @ n28 ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15881,zip_derived_cl92,zip_derived_cl932,zip_derived_cl91,zip_derived_cl152]) ).
thf(zip_derived_cl990_285,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16294,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n27 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15885,zip_derived_cl990]) ).
thf(zip_derived_cl5_286,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('65',plain,
( ( sk__1 != n1 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16294,zip_derived_cl5]) ).
thf(zip_derived_cl902,plain,
( ( sum @ n26 @ n2 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_287,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_288,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2823,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n26 @ n1 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl2796]) ).
thf(zip_derived_cl15663,plain,
( ( sk__2
= ( sum @ ( pred @ n28 ) @ ( sum @ n1 @ ( pred @ ( sum @ n26 @ n1 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl902,zip_derived_cl2823]) ).
thf(zip_derived_cl91_289,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl901,plain,
( ( sum @ n26 @ n1 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_290,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151,plain,
( ( sum @ n1 @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15668,plain,
( ( sk__2
= ( sum @ n27 @ n27 ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15663,zip_derived_cl91,zip_derived_cl901,zip_derived_cl90,zip_derived_cl151]) ).
thf(zip_derived_cl958,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16062,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n26 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15668,zip_derived_cl958]) ).
thf(zip_derived_cl7_291,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('66',plain,
( ( sk__1 != n1 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16062,zip_derived_cl7]) ).
thf(zip_derived_cl871,plain,
( ( sum @ n25 @ n2 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_292,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_293,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2822,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n25 @ n1 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl2796]) ).
thf(zip_derived_cl15486,plain,
( ( sk__2
= ( sum @ ( pred @ n27 ) @ ( sum @ n1 @ ( pred @ ( sum @ n25 @ n1 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl871,zip_derived_cl2822]) ).
thf(zip_derived_cl90_294,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl870,plain,
( ( sum @ n25 @ n1 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_295,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150,plain,
( ( sum @ n1 @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15491,plain,
( ( sk__2
= ( sum @ n26 @ n26 ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15486,zip_derived_cl90,zip_derived_cl870,zip_derived_cl89,zip_derived_cl150]) ).
thf(zip_derived_cl926,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15818,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n25 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15491,zip_derived_cl926]) ).
thf(zip_derived_cl9_296,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('67',plain,
( ( sk__1 != n1 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15818,zip_derived_cl9]) ).
thf(zip_derived_cl840,plain,
( ( sum @ n24 @ n2 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_297,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_298,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2821,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n24 @ n1 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl2796]) ).
thf(zip_derived_cl15266,plain,
( ( sk__2
= ( sum @ ( pred @ n26 ) @ ( sum @ n1 @ ( pred @ ( sum @ n24 @ n1 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl840,zip_derived_cl2821]) ).
thf(zip_derived_cl89_299,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl839,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_300,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15268,plain,
( ( sk__2
= ( sum @ n25 @ n25 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15266,zip_derived_cl89,zip_derived_cl839,zip_derived_cl88,zip_derived_cl149]) ).
thf(zip_derived_cl894,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15600,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n24 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15268,zip_derived_cl894]) ).
thf(zip_derived_cl11_301,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('68',plain,
( ( sk__1 != n1 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15600,zip_derived_cl11]) ).
thf(zip_derived_cl809,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_302,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_303,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2820,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n23 @ n1 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl2796]) ).
thf(zip_derived_cl15079,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n1 @ ( pred @ ( sum @ n23 @ n1 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl809,zip_derived_cl2820]) ).
thf(zip_derived_cl88_304,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl808,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_305,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15082,plain,
( ( sk__2
= ( sum @ n24 @ n24 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15079,zip_derived_cl88,zip_derived_cl808,zip_derived_cl87,zip_derived_cl148]) ).
thf(zip_derived_cl862,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15404,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n23 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15082,zip_derived_cl862]) ).
thf(zip_derived_cl13_306,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('69',plain,
( ( sk__1 != n1 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15404,zip_derived_cl13]) ).
thf(zip_derived_cl778,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_307,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_308,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2819,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n22 @ n1 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl2796]) ).
thf(zip_derived_cl14918,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n1 @ ( pred @ ( sum @ n22 @ n1 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl778,zip_derived_cl2819]) ).
thf(zip_derived_cl87_309,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl777,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_310,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14921,plain,
( ( sk__2
= ( sum @ n23 @ n23 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14918,zip_derived_cl87,zip_derived_cl777,zip_derived_cl86,zip_derived_cl147]) ).
thf(zip_derived_cl830,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15177,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n22 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14921,zip_derived_cl830]) ).
thf(zip_derived_cl15_311,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('70',plain,
( ( sk__1 != n1 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15177,zip_derived_cl15]) ).
thf(zip_derived_cl747,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_312,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_313,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2818,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n21 @ n1 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl2796]) ).
thf(zip_derived_cl14724,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n1 @ ( pred @ ( sum @ n21 @ n1 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl747,zip_derived_cl2818]) ).
thf(zip_derived_cl86_314,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_315,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14726,plain,
( ( sk__2
= ( sum @ n22 @ n22 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14724,zip_derived_cl86,zip_derived_cl746,zip_derived_cl85,zip_derived_cl146]) ).
thf(zip_derived_cl798,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15021,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n21 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14726,zip_derived_cl798]) ).
thf(zip_derived_cl17_316,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('71',plain,
( ( sk__1 != n1 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15021,zip_derived_cl17]) ).
thf(zip_derived_cl716,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_317,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_318,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2817,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n20 @ n1 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl2796]) ).
thf(zip_derived_cl14587,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n1 @ ( pred @ ( sum @ n20 @ n1 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl716,zip_derived_cl2817]) ).
thf(zip_derived_cl85_319,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_320,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14589,plain,
( ( sk__2
= ( sum @ n21 @ n21 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14587,zip_derived_cl85,zip_derived_cl715,zip_derived_cl84,zip_derived_cl145]) ).
thf(zip_derived_cl766,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14822,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14589,zip_derived_cl766]) ).
thf(zip_derived_cl19_321,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('72',plain,
( ( sk__1 != n1 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14822,zip_derived_cl19]) ).
thf(zip_derived_cl685,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_322,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_323,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2816,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n19 @ n1 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl2796]) ).
thf(zip_derived_cl14387,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n1 @ ( pred @ ( sum @ n19 @ n1 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl685,zip_derived_cl2816]) ).
thf(zip_derived_cl84_324,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_325,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14390,plain,
( ( sk__2
= ( sum @ n20 @ n20 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14387,zip_derived_cl84,zip_derived_cl684,zip_derived_cl83,zip_derived_cl144]) ).
thf(zip_derived_cl734,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14659,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14390,zip_derived_cl734]) ).
thf(zip_derived_cl21_326,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('73',plain,
( ( sk__1 != n1 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14659,zip_derived_cl21]) ).
thf(zip_derived_cl654,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_327,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_328,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2815,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n18 @ n1 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl2796]) ).
thf(zip_derived_cl14263,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n1 @ ( pred @ ( sum @ n18 @ n1 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl2815]) ).
thf(zip_derived_cl83_329,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_330,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14265,plain,
( ( sk__2
= ( sum @ n19 @ n19 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14263,zip_derived_cl83,zip_derived_cl653,zip_derived_cl82,zip_derived_cl143]) ).
thf(zip_derived_cl702,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14487,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14265,zip_derived_cl702]) ).
thf(zip_derived_cl23_331,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('74',plain,
( ( sk_ != n18 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14487,zip_derived_cl23]) ).
thf(zip_derived_cl623_332,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_333,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2814,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n17 @ n1 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl2796]) ).
thf(zip_derived_cl14151,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n1 @ ( pred @ ( sum @ n17 @ n1 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl623,zip_derived_cl2814]) ).
thf(zip_derived_cl82_335,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_336,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14154,plain,
( ( sk__2
= ( sum @ n18 @ n18 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14151,zip_derived_cl82,zip_derived_cl622,zip_derived_cl81,zip_derived_cl142]) ).
thf(zip_derived_cl670,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14320,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14154,zip_derived_cl670]) ).
thf(zip_derived_cl25_337,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('75',plain,
( ( sk__1 != n1 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14320,zip_derived_cl25]) ).
thf(zip_derived_cl592,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_338,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_339,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2813,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n16 @ n1 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl2796]) ).
thf(zip_derived_cl14045,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n1 @ ( pred @ ( sum @ n16 @ n1 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl592,zip_derived_cl2813]) ).
thf(zip_derived_cl81_340,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_341,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14048,plain,
( ( sk__2
= ( sum @ n17 @ n17 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14045,zip_derived_cl81,zip_derived_cl591,zip_derived_cl80,zip_derived_cl141]) ).
thf(zip_derived_cl638,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14207,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14048,zip_derived_cl638]) ).
thf(zip_derived_cl27_342,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('76',plain,
( ( sk__1 != n1 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14207,zip_derived_cl27]) ).
thf(zip_derived_cl561,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_343,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_344,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2812,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n15 @ n1 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl2796]) ).
thf(zip_derived_cl13939,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n1 @ ( pred @ ( sum @ n15 @ n1 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl561,zip_derived_cl2812]) ).
thf(zip_derived_cl80_345,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_346,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13942,plain,
( ( sk__2
= ( sum @ n16 @ n16 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13939,zip_derived_cl80,zip_derived_cl560,zip_derived_cl79,zip_derived_cl140]) ).
thf(zip_derived_cl606,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14096,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13942,zip_derived_cl606]) ).
thf(zip_derived_cl29_347,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('77',plain,
( ( sk__1 != n1 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14096,zip_derived_cl29]) ).
thf(zip_derived_cl530,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_348,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_349,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2811,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n14 @ n1 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl2796]) ).
thf(zip_derived_cl13865,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n1 @ ( pred @ ( sum @ n14 @ n1 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2811]) ).
thf(zip_derived_cl79_350,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_351,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13867,plain,
( ( sk__2
= ( sum @ n15 @ n15 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13865,zip_derived_cl79,zip_derived_cl529,zip_derived_cl78,zip_derived_cl139]) ).
thf(zip_derived_cl574,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13984,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13867,zip_derived_cl574]) ).
thf(zip_derived_cl0_352,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('78',plain,
( ( sk__1 != n1 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13984,zip_derived_cl0]) ).
thf(zip_derived_cl1535_353,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_354,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2810,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n13 @ n1 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl2796]) ).
thf(zip_derived_cl499,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_355,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_356,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13801,plain,
( ( sk__2
= ( sum @ n14 @ n14 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2810,zip_derived_cl499,zip_derived_cl78,zip_derived_cl498,zip_derived_cl77,zip_derived_cl138]) ).
thf(zip_derived_cl542,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13894,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13801,zip_derived_cl542]) ).
thf(zip_derived_cl2_357,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('79',plain,
( ( sk__1 != n1 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13894,zip_derived_cl2]) ).
thf(zip_derived_cl1534_358,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_359,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2809,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n12 @ n1 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl2796]) ).
thf(zip_derived_cl468,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_360,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_361,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13800,plain,
( ( sk__2
= ( sum @ n13 @ n13 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2809,zip_derived_cl468,zip_derived_cl77,zip_derived_cl467,zip_derived_cl76,zip_derived_cl137]) ).
thf(zip_derived_cl510,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13804,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13800,zip_derived_cl510]) ).
thf(zip_derived_cl4_362,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('80',plain,
( ( sk__1 != n1 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13804,zip_derived_cl4]) ).
thf(zip_derived_cl1533_363,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_364,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2808,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n11 @ n1 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl2796]) ).
thf(zip_derived_cl437,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_365,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_366,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13798,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2808,zip_derived_cl437,zip_derived_cl76,zip_derived_cl436,zip_derived_cl75,zip_derived_cl136,zip_derived_cl478]) ).
thf(zip_derived_cl6_367,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('81',plain,
( ( sk_ != n11 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13798,zip_derived_cl6]) ).
thf(zip_derived_cl1532_368,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_369,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2807,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n10 @ n1 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl2796]) ).
thf(zip_derived_cl406,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_370,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_371,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13796,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2807,zip_derived_cl406,zip_derived_cl75,zip_derived_cl405,zip_derived_cl74,zip_derived_cl135,zip_derived_cl446]) ).
thf(zip_derived_cl8_372,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('82',plain,
( ( sk__1 != n1 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13796,zip_derived_cl8]) ).
thf(zip_derived_cl1531_373,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_374,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2806,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n9 @ n1 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl2796]) ).
thf(zip_derived_cl375,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_375,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_376,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13794,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2806,zip_derived_cl375,zip_derived_cl74,zip_derived_cl374,zip_derived_cl73,zip_derived_cl134,zip_derived_cl414]) ).
thf(zip_derived_cl10_377,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('83',plain,
( ( sk__1 != n1 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13794,zip_derived_cl10]) ).
thf(zip_derived_cl1530_378,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_379,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2805,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n8 @ n1 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl2796]) ).
thf(zip_derived_cl344,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_380,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_381,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13792,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2805,zip_derived_cl344,zip_derived_cl73,zip_derived_cl343,zip_derived_cl72,zip_derived_cl133,zip_derived_cl382]) ).
thf(zip_derived_cl12_382,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('84',plain,
( ( sk__1 != n1 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13792,zip_derived_cl12]) ).
thf(zip_derived_cl1529_383,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_384,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2804,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n7 @ n1 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl2796]) ).
thf(zip_derived_cl313,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_385,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_386,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13790,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2804,zip_derived_cl313,zip_derived_cl72,zip_derived_cl312,zip_derived_cl71,zip_derived_cl132,zip_derived_cl350]) ).
thf(zip_derived_cl14_387,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('85',plain,
( ( sk__1 != n1 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13790,zip_derived_cl14]) ).
thf(zip_derived_cl1528_388,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_389,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2803,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n6 @ n1 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl2796]) ).
thf(zip_derived_cl282_390,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_391,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_392,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13788,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2803,zip_derived_cl282,zip_derived_cl71,zip_derived_cl281,zip_derived_cl70,zip_derived_cl131,zip_derived_cl318]) ).
thf(zip_derived_cl16_393,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('86',plain,
( ( sk__1 != n1 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13788,zip_derived_cl16]) ).
thf(zip_derived_cl1527_394,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_395,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2802,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n5 @ n1 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl2796]) ).
thf(zip_derived_cl251,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_396,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_397,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_398,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13786,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2802,zip_derived_cl251,zip_derived_cl70,zip_derived_cl250,zip_derived_cl69,zip_derived_cl130,zip_derived_cl286]) ).
thf(zip_derived_cl18_399,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('87',plain,
( ( sk__1 != n1 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13786,zip_derived_cl18]) ).
thf(zip_derived_cl1526_400,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_401,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2801,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n4 @ n1 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl2796]) ).
thf(zip_derived_cl220,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_402,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_403,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13784,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2801,zip_derived_cl220,zip_derived_cl69,zip_derived_cl219,zip_derived_cl68,zip_derived_cl129,zip_derived_cl254]) ).
thf(zip_derived_cl20_404,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('88',plain,
( ( sk__1 != n1 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13784,zip_derived_cl20]) ).
thf(zip_derived_cl1525_405,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_406,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2800,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n3 @ n1 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl2796]) ).
thf(zip_derived_cl189_407,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_408,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_409,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13782,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n3 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2800,zip_derived_cl189,zip_derived_cl68,zip_derived_cl188,zip_derived_cl67,zip_derived_cl128,zip_derived_cl222]) ).
thf(zip_derived_cl22_410,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('89',plain,
( ( sk__1 != n1 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13782,zip_derived_cl22]) ).
thf(zip_derived_cl1524_411,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_412,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2799,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n2 @ n1 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl2796]) ).
thf(zip_derived_cl158,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_413,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_414,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_415,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13780,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n2 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2799,zip_derived_cl158,zip_derived_cl67,zip_derived_cl157,zip_derived_cl66,zip_derived_cl127,zip_derived_cl190]) ).
thf(zip_derived_cl24_416,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('90',plain,
( ( sk__1 != n1 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13780,zip_derived_cl24]) ).
thf(zip_derived_cl1523_417,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2796_418,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl33]) ).
thf(zip_derived_cl2798,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ n1 @ n1 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl2796]) ).
thf(zip_derived_cl127_419,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_420,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_421,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_422,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_423,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_424,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13778,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n1 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2798,zip_derived_cl127,zip_derived_cl66,zip_derived_cl126,zip_derived_cl65,zip_derived_cl126,zip_derived_cl158]) ).
thf(zip_derived_cl26_425,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('91',plain,
( ( sk__1 != n1 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13778,zip_derived_cl26]) ).
thf(zip_derived_cl1523_426,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_427,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9429,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n1 @ n30 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl9427]) ).
thf(zip_derived_cl125_428,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_429,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_430,plain,
( ( sum @ n1 @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_431,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1054_432,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_433,plain,
( ( sum @ n0 @ n29 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20712,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n1 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9429,zip_derived_cl125,zip_derived_cl64,zip_derived_cl155,zip_derived_cl63,zip_derived_cl1054,zip_derived_cl123]) ).
thf(zip_derived_cl1_434,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('92',plain,
( ( sk_ != n1 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20712,zip_derived_cl1]) ).
thf(zip_derived_cl1523_435,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_436,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9364,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n1 @ n29 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl9362]) ).
thf(zip_derived_cl155_437,plain,
( ( sum @ n1 @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_438,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_439,plain,
( ( sum @ n1 @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_440,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1022_441,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1051,plain,
( ( sum @ n30 @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20576,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n1 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9364,zip_derived_cl155,zip_derived_cl63,zip_derived_cl154,zip_derived_cl93,zip_derived_cl1022,zip_derived_cl1051]) ).
thf(zip_derived_cl4_442,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('93',plain,
( ( sk_ != n1 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20576,zip_derived_cl4]) ).
thf(zip_derived_cl1523_443,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_444,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9232,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n1 @ n27 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl9230]) ).
thf(zip_derived_cl153_445,plain,
( ( sum @ n1 @ n28 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_446,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_447,plain,
( ( sum @ n1 @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_448,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl958_449,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl985_450,plain,
( ( sum @ n28 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20302,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n1 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9232,zip_derived_cl153,zip_derived_cl92,zip_derived_cl152,zip_derived_cl91,zip_derived_cl958,zip_derived_cl985]) ).
thf(zip_derived_cl10_451,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('94',plain,
( ( sk_ != n1 )
| ( sk__1 != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20302,zip_derived_cl10]) ).
thf(zip_derived_cl1523_452,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_453,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9144,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n1 @ n26 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl9142]) ).
thf(zip_derived_cl152_454,plain,
( ( sum @ n1 @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_455,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_456,plain,
( ( sum @ n1 @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_457,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl926_458,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl952,plain,
( ( sum @ n27 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20166,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n1 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9144,zip_derived_cl152,zip_derived_cl91,zip_derived_cl151,zip_derived_cl90,zip_derived_cl926,zip_derived_cl952]) ).
thf(zip_derived_cl13_459,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('95',plain,
( ( sk_ != n1 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20166,zip_derived_cl13]) ).
thf(zip_derived_cl1523_460,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_461,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9079,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n1 @ n25 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl9077]) ).
thf(zip_derived_cl151_462,plain,
( ( sum @ n1 @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_463,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_464,plain,
( ( sum @ n1 @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_465,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl894_466,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl919,plain,
( ( sum @ n26 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20030,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n1 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9079,zip_derived_cl151,zip_derived_cl90,zip_derived_cl150,zip_derived_cl89,zip_derived_cl894,zip_derived_cl919]) ).
thf(zip_derived_cl16_467,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('96',plain,
( ( sk_ != n1 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20030,zip_derived_cl16]) ).
thf(zip_derived_cl1523_468,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_469,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9014,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n1 @ n24 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl9012]) ).
thf(zip_derived_cl150_470,plain,
( ( sum @ n1 @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_471,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_472,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_473,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl862_474,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl886,plain,
( ( sum @ n25 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19894,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n1 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9014,zip_derived_cl150,zip_derived_cl89,zip_derived_cl149,zip_derived_cl88,zip_derived_cl862,zip_derived_cl886]) ).
thf(zip_derived_cl19_475,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('97',plain,
( ( sk_ != n1 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19894,zip_derived_cl19]) ).
thf(zip_derived_cl1523_476,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_477,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8949,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n1 @ n23 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8947]) ).
thf(zip_derived_cl149_478,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_479,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_480,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_481,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl830_482,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl853,plain,
( ( sum @ n24 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19756,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n1 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8949,zip_derived_cl149,zip_derived_cl88,zip_derived_cl148,zip_derived_cl87,zip_derived_cl830,zip_derived_cl853]) ).
thf(zip_derived_cl22_483,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('98',plain,
( ( sk_ != n1 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19756,zip_derived_cl22]) ).
thf(zip_derived_cl1523_484,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_485,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8884,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n1 @ n22 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8882]) ).
thf(zip_derived_cl148_486,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_487,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_488,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_489,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl798_490,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl820,plain,
( ( sum @ n23 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19620,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n1 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8884,zip_derived_cl148,zip_derived_cl87,zip_derived_cl147,zip_derived_cl86,zip_derived_cl798,zip_derived_cl820]) ).
thf(zip_derived_cl25_491,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('99',plain,
( ( sk_ != n1 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19620,zip_derived_cl25]) ).
thf(zip_derived_cl1523_492,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_493,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8816,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n1 @ n21 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8814]) ).
thf(zip_derived_cl147_494,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_495,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_496,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_497,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl766_498,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl787,plain,
( ( sum @ n22 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19484,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n1 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8816,zip_derived_cl147,zip_derived_cl86,zip_derived_cl146,zip_derived_cl85,zip_derived_cl766,zip_derived_cl787]) ).
thf(zip_derived_cl28_499,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('100',plain,
( ( sk_ != n1 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19484,zip_derived_cl28]) ).
thf(zip_derived_cl1523_500,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_501,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8740,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n1 @ n20 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8738]) ).
thf(zip_derived_cl146_502,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_503,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_504,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_505,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_506,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl754,plain,
( ( sum @ n21 @ n9 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19348,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n1 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8740,zip_derived_cl146,zip_derived_cl85,zip_derived_cl145,zip_derived_cl84,zip_derived_cl734,zip_derived_cl754]) ).
thf(zip_derived_cl0_507,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('101',plain,
( ( sk_ != n1 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19348,zip_derived_cl0]) ).
thf(zip_derived_cl1523_508,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_509,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8675,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n1 @ n19 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8673]) ).
thf(zip_derived_cl145_510,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_511,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_512,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_513,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702_514,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721,plain,
( ( sum @ n20 @ n7 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19212,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n1 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8675,zip_derived_cl145,zip_derived_cl84,zip_derived_cl144,zip_derived_cl83,zip_derived_cl702,zip_derived_cl721]) ).
thf(zip_derived_cl3_515,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('102',plain,
( ( sk_ != n1 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19212,zip_derived_cl3]) ).
thf(zip_derived_cl1523_516,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_517,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8600,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n1 @ n18 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8598]) ).
thf(zip_derived_cl144_518,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_519,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_520,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_521,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl670_522,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl688,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19074,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n1 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8600,zip_derived_cl144,zip_derived_cl83,zip_derived_cl143,zip_derived_cl82,zip_derived_cl670,zip_derived_cl688]) ).
thf(zip_derived_cl6_523,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('103',plain,
( ( sk_ != n1 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19074,zip_derived_cl6]) ).
thf(zip_derived_cl1523_524,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_525,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8531,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n1 @ n17 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8529]) ).
thf(zip_derived_cl143_526,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_527,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_528,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_529,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638_530,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl655,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18938,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n1 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8531,zip_derived_cl143,zip_derived_cl82,zip_derived_cl142,zip_derived_cl81,zip_derived_cl638,zip_derived_cl655]) ).
thf(zip_derived_cl9_531,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('104',plain,
( ( sk_ != n1 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18938,zip_derived_cl9]) ).
thf(zip_derived_cl1523_532,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_533,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8463,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n1 @ n16 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8461]) ).
thf(zip_derived_cl142_534,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_535,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_536,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_537,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl606_538,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622_539,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18802,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n1 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8463,zip_derived_cl142,zip_derived_cl81,zip_derived_cl141,zip_derived_cl80,zip_derived_cl606,zip_derived_cl622]) ).
thf(zip_derived_cl12_540,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('105',plain,
( ( sk_ != n1 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18802,zip_derived_cl12]) ).
thf(zip_derived_cl1523_541,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_542,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8398,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n1 @ n15 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8396]) ).
thf(zip_derived_cl141_543,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_544,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_545,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_546,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_547,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl620,plain,
( ( sum @ n16 @ n30 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18666,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n1 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8398,zip_derived_cl141,zip_derived_cl80,zip_derived_cl140,zip_derived_cl79,zip_derived_cl574,zip_derived_cl620]) ).
thf(zip_derived_cl15_548,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('106',plain,
( ( sk_ != n1 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18666,zip_derived_cl15]) ).
thf(zip_derived_cl1523_549,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_550,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8319,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n1 @ n14 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8317]) ).
thf(zip_derived_cl140_551,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_552,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_553,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_554,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_555,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587_556,plain,
( ( sum @ n15 @ n28 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18530,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n1 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8319,zip_derived_cl140,zip_derived_cl79,zip_derived_cl139,zip_derived_cl78,zip_derived_cl542,zip_derived_cl587]) ).
thf(zip_derived_cl18_557,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('107',plain,
( ( sk_ != n1 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18530,zip_derived_cl18]) ).
thf(zip_derived_cl1523_558,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_559,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8254,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n1 @ n13 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8252]) ).
thf(zip_derived_cl139_560,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_561,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_562,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_563,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl510_564,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554,plain,
( ( sum @ n14 @ n26 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18392,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n1 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8254,zip_derived_cl139,zip_derived_cl78,zip_derived_cl138,zip_derived_cl77,zip_derived_cl510,zip_derived_cl554]) ).
thf(zip_derived_cl21_565,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('108',plain,
( ( sk_ != n1 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18392,zip_derived_cl21]) ).
thf(zip_derived_cl1523_566,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_567,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8184,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n1 @ n12 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl8182]) ).
thf(zip_derived_cl138_568,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_569,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_570,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_571,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_572,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521,plain,
( ( sum @ n13 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18256,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n1 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8184,zip_derived_cl138,zip_derived_cl77,zip_derived_cl137,zip_derived_cl76,zip_derived_cl478,zip_derived_cl521]) ).
thf(zip_derived_cl24_573,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('109',plain,
( ( sk_ != n1 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18256,zip_derived_cl24]) ).
thf(zip_derived_cl1523_574,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_575,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5423,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n1 @ n11 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl5421]) ).
thf(zip_derived_cl137_576,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_577,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_578,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_579,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_580,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488,plain,
( ( sum @ n12 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16044,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n1 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5423,zip_derived_cl137,zip_derived_cl76,zip_derived_cl136,zip_derived_cl75,zip_derived_cl446,zip_derived_cl488]) ).
thf(zip_derived_cl27_581,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('110',plain,
( ( sk_ != n1 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16044,zip_derived_cl27]) ).
thf(zip_derived_cl1523_582,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_583,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4982,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n1 @ n10 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl4980]) ).
thf(zip_derived_cl136_584,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_585,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_586,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_587,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_588,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455,plain,
( ( sum @ n11 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15460,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n1 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4982,zip_derived_cl136,zip_derived_cl75,zip_derived_cl135,zip_derived_cl74,zip_derived_cl414,zip_derived_cl455]) ).
thf(zip_derived_cl30_589,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('111',plain,
( ( sk_ != n1 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15460,zip_derived_cl30]) ).
thf(zip_derived_cl1523_590,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_591,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4539,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n1 @ n9 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl4537]) ).
thf(zip_derived_cl135_592,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_593,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_594,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_595,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_596,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422,plain,
( ( sum @ n10 @ n18 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14999,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n1 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4539,zip_derived_cl135,zip_derived_cl74,zip_derived_cl134,zip_derived_cl73,zip_derived_cl382,zip_derived_cl422]) ).
thf(zip_derived_cl2_597,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('112',plain,
( ( sk_ != n1 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14999,zip_derived_cl2]) ).
thf(zip_derived_cl1523_598,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_599,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4089,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n1 @ n8 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl4087]) ).
thf(zip_derived_cl134_600,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_601,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_602,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_603,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350_604,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14571,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n1 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4089,zip_derived_cl134,zip_derived_cl73,zip_derived_cl133,zip_derived_cl72,zip_derived_cl350,zip_derived_cl389]) ).
thf(zip_derived_cl5_605,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('113',plain,
( ( sk_ != n1 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14571,zip_derived_cl5]) ).
thf(zip_derived_cl1523_606,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_607,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3668,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n1 @ n7 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl3666]) ).
thf(zip_derived_cl133_608,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_609,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_610,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_611,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_612,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14253,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n1 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3668,zip_derived_cl133,zip_derived_cl72,zip_derived_cl132,zip_derived_cl71,zip_derived_cl318,zip_derived_cl356]) ).
thf(zip_derived_cl8_613,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('114',plain,
( ( sk_ != n1 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14253,zip_derived_cl8]) ).
thf(zip_derived_cl1523_614,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_615,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3405,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n1 @ n6 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl3394]) ).
thf(zip_derived_cl132_616,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_617,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_618,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_619,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_620,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14178,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n1 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3405,zip_derived_cl132,zip_derived_cl71,zip_derived_cl131,zip_derived_cl70,zip_derived_cl286,zip_derived_cl323]) ).
thf(zip_derived_cl11_621,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('115',plain,
( ( sk_ != n1 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14178,zip_derived_cl11]) ).
thf(zip_derived_cl1523_622,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_623,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3109,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n1 @ n5 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl3103]) ).
thf(zip_derived_cl131_624,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_625,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_626,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_627,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_628,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14076,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n1 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3109,zip_derived_cl131,zip_derived_cl70,zip_derived_cl130,zip_derived_cl69,zip_derived_cl254,zip_derived_cl290]) ).
thf(zip_derived_cl14_629,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('116',plain,
( ( sk_ != n1 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14076,zip_derived_cl14]) ).
thf(zip_derived_cl1523_630,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_631,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3014,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n1 @ n4 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl3009]) ).
thf(zip_derived_cl130_632,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_633,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_634,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_635,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_636,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13992,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n1 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3014,zip_derived_cl130,zip_derived_cl69,zip_derived_cl129,zip_derived_cl68,zip_derived_cl222,zip_derived_cl257]) ).
thf(zip_derived_cl17_637,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('117',plain,
( ( sk_ != n1 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13992,zip_derived_cl17]) ).
thf(zip_derived_cl1523_638,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_639,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2936,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n1 @ n3 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl2932]) ).
thf(zip_derived_cl129_640,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_641,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_642,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_643,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_644,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13907,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n1 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2936,zip_derived_cl129,zip_derived_cl68,zip_derived_cl128,zip_derived_cl67,zip_derived_cl190,zip_derived_cl224]) ).
thf(zip_derived_cl20_645,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('118',plain,
( ( sk_ != n1 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13907,zip_derived_cl20]) ).
thf(zip_derived_cl1523_646,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_647,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2864,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n1 @ n2 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl2861]) ).
thf(zip_derived_cl128_648,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_649,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_650,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_651,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_652,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13835,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n1 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2864,zip_derived_cl128,zip_derived_cl67,zip_derived_cl127,zip_derived_cl66,zip_derived_cl158,zip_derived_cl191]) ).
thf(zip_derived_cl23_653,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('119',plain,
( ( sk_ != n1 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13835,zip_derived_cl23]) ).
thf(zip_derived_cl1523_654,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_655,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2729,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n1 @ n0 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl2727]) ).
thf(zip_derived_cl126_656,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_657,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_658,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_659,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_660,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_661,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13720,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n1 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2729,zip_derived_cl126,zip_derived_cl65,zip_derived_cl125,zip_derived_cl64,zip_derived_cl94,zip_derived_cl125]) ).
thf(zip_derived_cl29_662,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('120',plain,
( ( sk_ != n1 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13720,zip_derived_cl29]) ).
thf(zip_derived_cl1552_663,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_664,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9261,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n30 @ n27 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl9230]) ).
thf(zip_derived_cl1052_665,plain,
( ( sum @ n30 @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_666,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1051_667,plain,
( ( sum @ n30 @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_668,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl956,plain,
( ( sum @ n27 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl921,plain,
( ( sum @ n26 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20366,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n30 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9261,zip_derived_cl1052,zip_derived_cl90,zip_derived_cl1051,zip_derived_cl89,zip_derived_cl956,zip_derived_cl921]) ).
thf(zip_derived_cl14_669,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('121',plain,
( ( sk__1 != n27 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20366,zip_derived_cl14]) ).
thf(zip_derived_cl1551_670,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_671,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9260,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n29 @ n27 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl9230]) ).
thf(zip_derived_cl1021_672,plain,
( ( sum @ n29 @ n28 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_673,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1020,plain,
( ( sum @ n29 @ n27 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_674,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl955,plain,
( ( sum @ n27 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl889,plain,
( ( sum @ n25 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20364,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n29 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9260,zip_derived_cl1021,zip_derived_cl89,zip_derived_cl1020,zip_derived_cl88,zip_derived_cl955,zip_derived_cl889]) ).
thf(zip_derived_cl16_675,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('122',plain,
( ( sk__1 != n27 )
| ( sk_ != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20364,zip_derived_cl16]) ).
thf(zip_derived_cl1550_676,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_677,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9259,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n28 @ n27 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl9230]) ).
thf(zip_derived_cl990_678,plain,
( ( sum @ n28 @ n28 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_679,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl989_680,plain,
( ( sum @ n28 @ n27 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_681,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl954_682,plain,
( ( sum @ n27 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl857,plain,
( ( sum @ n24 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20362,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n28 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9259,zip_derived_cl990,zip_derived_cl88,zip_derived_cl989,zip_derived_cl87,zip_derived_cl954,zip_derived_cl857]) ).
thf(zip_derived_cl18_683,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('123',plain,
( ( sk__1 != n27 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20362,zip_derived_cl18]) ).
thf(zip_derived_cl1549_684,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_685,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9258,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n27 @ n27 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl9230]) ).
thf(zip_derived_cl959_686,plain,
( ( sum @ n27 @ n28 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_687,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl958_688,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_689,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl953_690,plain,
( ( sum @ n27 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl825,plain,
( ( sum @ n23 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20360,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n27 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9258,zip_derived_cl959,zip_derived_cl87,zip_derived_cl958,zip_derived_cl86,zip_derived_cl953,zip_derived_cl825]) ).
thf(zip_derived_cl20_691,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('124',plain,
( ( sk__1 != n27 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20360,zip_derived_cl20]) ).
thf(zip_derived_cl1548_692,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_693,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9257,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n26 @ n27 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl9230]) ).
thf(zip_derived_cl928_694,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_695,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl927,plain,
( ( sum @ n26 @ n27 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_696,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl952_697,plain,
( ( sum @ n27 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl793,plain,
( ( sum @ n22 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20358,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n26 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9257,zip_derived_cl928,zip_derived_cl86,zip_derived_cl927,zip_derived_cl85,zip_derived_cl952,zip_derived_cl793]) ).
thf(zip_derived_cl22_698,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('125',plain,
( ( sk__1 != n27 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20358,zip_derived_cl22]) ).
thf(zip_derived_cl1547_699,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_700,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9256,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n25 @ n27 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl9230]) ).
thf(zip_derived_cl897_701,plain,
( ( sum @ n25 @ n28 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_702,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl896,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_703,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl951,plain,
( ( sum @ n27 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl761,plain,
( ( sum @ n21 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20356,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n25 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9256,zip_derived_cl897,zip_derived_cl85,zip_derived_cl896,zip_derived_cl84,zip_derived_cl951,zip_derived_cl761]) ).
thf(zip_derived_cl24_704,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('126',plain,
( ( sk__1 != n27 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20356,zip_derived_cl24]) ).
thf(zip_derived_cl1546_705,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_706,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9255,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n24 @ n27 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl9230]) ).
thf(zip_derived_cl866_707,plain,
( ( sum @ n24 @ n28 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_708,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl865,plain,
( ( sum @ n24 @ n27 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_709,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl950,plain,
( ( sum @ n27 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729,plain,
( ( sum @ n20 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20354,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n24 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9255,zip_derived_cl866,zip_derived_cl84,zip_derived_cl865,zip_derived_cl83,zip_derived_cl950,zip_derived_cl729]) ).
thf(zip_derived_cl26_710,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('127',plain,
( ( sk__1 != n27 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20354,zip_derived_cl26]) ).
thf(zip_derived_cl1545_711,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_712,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9254,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n23 @ n27 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl9230]) ).
thf(zip_derived_cl835_713,plain,
( ( sum @ n23 @ n28 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_714,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834,plain,
( ( sum @ n23 @ n27 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_715,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl949,plain,
( ( sum @ n27 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697,plain,
( ( sum @ n19 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20350,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n23 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9254,zip_derived_cl835,zip_derived_cl83,zip_derived_cl834,zip_derived_cl82,zip_derived_cl949,zip_derived_cl697]) ).
thf(zip_derived_cl28_716,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('128',plain,
( ( sk__1 != n27 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20350,zip_derived_cl28]) ).
thf(zip_derived_cl1544_717,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_718,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n22 @ n27 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl9230]) ).
thf(zip_derived_cl804_719,plain,
( ( sum @ n22 @ n28 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_720,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl803,plain,
( ( sum @ n22 @ n27 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_721,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl948,plain,
( ( sum @ n27 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665,plain,
( ( sum @ n18 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20348,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n22 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9253,zip_derived_cl804,zip_derived_cl82,zip_derived_cl803,zip_derived_cl81,zip_derived_cl948,zip_derived_cl665]) ).
thf(zip_derived_cl30_722,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('129',plain,
( ( sk__1 != n27 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20348,zip_derived_cl30]) ).
thf(zip_derived_cl1543_723,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_724,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9252,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n21 @ n27 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl9230]) ).
thf(zip_derived_cl773_725,plain,
( ( sum @ n21 @ n28 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_726,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl772,plain,
( ( sum @ n21 @ n27 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_727,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl947,plain,
( ( sum @ n27 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633,plain,
( ( sum @ n17 @ n12 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20346,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n21 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9252,zip_derived_cl773,zip_derived_cl81,zip_derived_cl772,zip_derived_cl80,zip_derived_cl947,zip_derived_cl633]) ).
thf(zip_derived_cl1_728,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('130',plain,
( ( sk__1 != n27 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20346,zip_derived_cl1]) ).
thf(zip_derived_cl1542_729,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_730,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9251,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n20 @ n27 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl9230]) ).
thf(zip_derived_cl742_731,plain,
( ( sum @ n20 @ n28 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_732,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741,plain,
( ( sum @ n20 @ n27 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_733,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl946,plain,
( ( sum @ n27 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601,plain,
( ( sum @ n16 @ n11 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20344,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n20 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9251,zip_derived_cl742,zip_derived_cl80,zip_derived_cl741,zip_derived_cl79,zip_derived_cl946,zip_derived_cl601]) ).
thf(zip_derived_cl3_734,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('131',plain,
( ( sk__1 != n27 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20344,zip_derived_cl3]) ).
thf(zip_derived_cl1541_735,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_736,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9250,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n19 @ n27 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl9230]) ).
thf(zip_derived_cl711_737,plain,
( ( sum @ n19 @ n28 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_738,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710,plain,
( ( sum @ n19 @ n27 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_739,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl945,plain,
( ( sum @ n27 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20342,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n19 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9250,zip_derived_cl711,zip_derived_cl79,zip_derived_cl710,zip_derived_cl78,zip_derived_cl945,zip_derived_cl569]) ).
thf(zip_derived_cl5_740,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('132',plain,
( ( sk__1 != n27 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20342,zip_derived_cl5]) ).
thf(zip_derived_cl1540_741,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_742,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9249,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n18 @ n27 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl9230]) ).
thf(zip_derived_cl680_743,plain,
( ( sum @ n18 @ n28 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_744,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679,plain,
( ( sum @ n18 @ n27 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_745,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl944,plain,
( ( sum @ n27 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl537,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20340,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n18 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9249,zip_derived_cl680,zip_derived_cl78,zip_derived_cl679,zip_derived_cl77,zip_derived_cl944,zip_derived_cl537]) ).
thf(zip_derived_cl7_746,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('133',plain,
( ( sk_ != n18 )
| ( sk__1 != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20340,zip_derived_cl7]) ).
thf(zip_derived_cl1539_747,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_748,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9248,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n17 @ n27 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl9230]) ).
thf(zip_derived_cl649_749,plain,
( ( sum @ n17 @ n28 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_750,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648,plain,
( ( sum @ n17 @ n27 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_751,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl943,plain,
( ( sum @ n27 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20338,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n17 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9248,zip_derived_cl649,zip_derived_cl77,zip_derived_cl648,zip_derived_cl76,zip_derived_cl943,zip_derived_cl505]) ).
thf(zip_derived_cl9_752,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('134',plain,
( ( sk__1 != n27 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20338,zip_derived_cl9]) ).
thf(zip_derived_cl1538_753,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_754,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9247,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n16 @ n27 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl9230]) ).
thf(zip_derived_cl618_755,plain,
( ( sum @ n16 @ n28 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_756,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617,plain,
( ( sum @ n16 @ n27 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_757,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl942,plain,
( ( sum @ n27 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20336,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n16 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9247,zip_derived_cl618,zip_derived_cl76,zip_derived_cl617,zip_derived_cl75,zip_derived_cl942,zip_derived_cl473]) ).
thf(zip_derived_cl11_758,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('135',plain,
( ( sk__1 != n27 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20336,zip_derived_cl11]) ).
thf(zip_derived_cl1537_759,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_760,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9246,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n15 @ n27 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl9230]) ).
thf(zip_derived_cl587_761,plain,
( ( sum @ n15 @ n28 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_762,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586,plain,
( ( sum @ n15 @ n27 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_763,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl941,plain,
( ( sum @ n27 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20334,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n15 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9246,zip_derived_cl587,zip_derived_cl75,zip_derived_cl586,zip_derived_cl74,zip_derived_cl941,zip_derived_cl441]) ).
thf(zip_derived_cl13_764,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('136',plain,
( ( sk__1 != n27 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20334,zip_derived_cl13]) ).
thf(zip_derived_cl1536_765,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_766,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9245,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n14 @ n27 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl9230]) ).
thf(zip_derived_cl556_767,plain,
( ( sum @ n14 @ n28 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_768,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555_769,plain,
( ( sum @ n14 @ n27 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_770,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl940,plain,
( ( sum @ n27 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20332,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n14 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9245,zip_derived_cl556,zip_derived_cl74,zip_derived_cl555,zip_derived_cl73,zip_derived_cl940,zip_derived_cl409]) ).
thf(zip_derived_cl15_771,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('137',plain,
( ( sk__1 != n27 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20332,zip_derived_cl15]) ).
thf(zip_derived_cl1535_772,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_773,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9244,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n13 @ n27 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl9230]) ).
thf(zip_derived_cl525_774,plain,
( ( sum @ n13 @ n28 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_775,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524,plain,
( ( sum @ n13 @ n27 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_776,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl939,plain,
( ( sum @ n27 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20328,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n13 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9244,zip_derived_cl525,zip_derived_cl73,zip_derived_cl524,zip_derived_cl72,zip_derived_cl939,zip_derived_cl377]) ).
thf(zip_derived_cl17_777,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('138',plain,
( ( sk__1 != n27 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20328,zip_derived_cl17]) ).
thf(zip_derived_cl1534_778,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_779,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9243,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n12 @ n27 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl9230]) ).
thf(zip_derived_cl494_780,plain,
( ( sum @ n12 @ n28 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_781,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493,plain,
( ( sum @ n12 @ n27 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_782,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl938,plain,
( ( sum @ n27 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20326,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n12 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9243,zip_derived_cl494,zip_derived_cl72,zip_derived_cl493,zip_derived_cl71,zip_derived_cl938,zip_derived_cl345]) ).
thf(zip_derived_cl19_783,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('139',plain,
( ( sk__1 != n27 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20326,zip_derived_cl19]) ).
thf(zip_derived_cl1533_784,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_785,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9242,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n11 @ n27 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl9230]) ).
thf(zip_derived_cl463_786,plain,
( ( sum @ n11 @ n28 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_787,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_788,plain,
( ( sum @ n11 @ n27 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_789,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl937,plain,
( ( sum @ n27 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_790,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20324,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n11 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9242,zip_derived_cl463,zip_derived_cl71,zip_derived_cl462,zip_derived_cl70,zip_derived_cl937,zip_derived_cl313]) ).
thf(zip_derived_cl21_791,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('140',plain,
( ( sk_ != n11 )
| ( sk__1 != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20324,zip_derived_cl21]) ).
thf(zip_derived_cl1532_792,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_793,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9241,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n10 @ n27 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl9230]) ).
thf(zip_derived_cl432_794,plain,
( ( sum @ n10 @ n28 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_795,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431,plain,
( ( sum @ n10 @ n27 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_796,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl936,plain,
( ( sum @ n27 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_797,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20322,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n10 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9241,zip_derived_cl432,zip_derived_cl70,zip_derived_cl431,zip_derived_cl69,zip_derived_cl936,zip_derived_cl281]) ).
thf(zip_derived_cl23_798,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('141',plain,
( ( sk__1 != n27 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20322,zip_derived_cl23]) ).
thf(zip_derived_cl1531_799,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_800,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9240,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n9 @ n27 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl9230]) ).
thf(zip_derived_cl401_801,plain,
( ( sum @ n9 @ n28 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_802,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400,plain,
( ( sum @ n9 @ n27 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_803,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl935,plain,
( ( sum @ n27 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20320,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n9 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9240,zip_derived_cl401,zip_derived_cl69,zip_derived_cl400,zip_derived_cl68,zip_derived_cl935,zip_derived_cl249]) ).
thf(zip_derived_cl25_804,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('142',plain,
( ( sk__1 != n27 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20320,zip_derived_cl25]) ).
thf(zip_derived_cl1530_805,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_806,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9239,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n8 @ n27 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl9230]) ).
thf(zip_derived_cl370_807,plain,
( ( sum @ n8 @ n28 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_808,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369,plain,
( ( sum @ n8 @ n27 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_809,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl934,plain,
( ( sum @ n27 @ n3 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248,plain,
( ( sum @ n4 @ n30 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20318,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n8 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9239,zip_derived_cl370,zip_derived_cl68,zip_derived_cl369,zip_derived_cl67,zip_derived_cl934,zip_derived_cl248]) ).
thf(zip_derived_cl27_810,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('143',plain,
( ( sk__1 != n27 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20318,zip_derived_cl27]) ).
thf(zip_derived_cl1529_811,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_812,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9238,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n7 @ n27 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl9230]) ).
thf(zip_derived_cl339_813,plain,
( ( sum @ n7 @ n28 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_814,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338,plain,
( ( sum @ n7 @ n27 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_815,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl933_816,plain,
( ( sum @ n27 @ n2 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_817,plain,
( ( sum @ n3 @ n29 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20316,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n7 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9238,zip_derived_cl339,zip_derived_cl67,zip_derived_cl338,zip_derived_cl66,zip_derived_cl933,zip_derived_cl216]) ).
thf(zip_derived_cl29_818,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('144',plain,
( ( sk__1 != n27 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20316,zip_derived_cl29]) ).
thf(zip_derived_cl1528_819,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_820,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9237,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n6 @ n27 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl9230]) ).
thf(zip_derived_cl308_821,plain,
( ( sum @ n6 @ n28 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_822,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307,plain,
( ( sum @ n6 @ n27 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_823,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl932_824,plain,
( ( sum @ n27 @ n1 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_825,plain,
( ( sum @ n2 @ n28 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20314,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n6 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9237,zip_derived_cl308,zip_derived_cl66,zip_derived_cl307,zip_derived_cl65,zip_derived_cl932,zip_derived_cl184]) ).
thf(zip_derived_cl0_826,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('145',plain,
( ( sk__1 != n27 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20314,zip_derived_cl0]) ).
thf(zip_derived_cl1527_827,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_828,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9236,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n5 @ n27 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl9230]) ).
thf(zip_derived_cl277_829,plain,
( ( sum @ n5 @ n28 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_830,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276,plain,
( ( sum @ n5 @ n27 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_831,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl931,plain,
( ( sum @ n27 @ n0 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_832,plain,
( ( sum @ n1 @ n27 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20312,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n5 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9236,zip_derived_cl277,zip_derived_cl65,zip_derived_cl276,zip_derived_cl64,zip_derived_cl931,zip_derived_cl152]) ).
thf(zip_derived_cl2_833,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('146',plain,
( ( sk__1 != n27 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20312,zip_derived_cl2]) ).
thf(zip_derived_cl1526_834,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_835,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9235,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n4 @ n27 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl9230]) ).
thf(zip_derived_cl246_836,plain,
( ( sum @ n4 @ n28 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_837,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245,plain,
( ( sum @ n4 @ n27 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_838,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl961,plain,
( ( sum @ n27 @ n30 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_839,plain,
( ( sum @ n0 @ n26 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20310,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n4 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9235,zip_derived_cl246,zip_derived_cl64,zip_derived_cl245,zip_derived_cl63,zip_derived_cl961,zip_derived_cl120]) ).
thf(zip_derived_cl4_840,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('147',plain,
( ( sk__1 != n27 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20310,zip_derived_cl4]) ).
thf(zip_derived_cl1525_841,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_842,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9234,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n3 @ n27 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl9230]) ).
thf(zip_derived_cl215_843,plain,
( ( sum @ n3 @ n28 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_844,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214,plain,
( ( sum @ n3 @ n27 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_845,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl960_846,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1049,plain,
( ( sum @ n30 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20306,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n3 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9234,zip_derived_cl215,zip_derived_cl63,zip_derived_cl214,zip_derived_cl93,zip_derived_cl960,zip_derived_cl1049]) ).
thf(zip_derived_cl6_847,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('148',plain,
( ( sk__1 != n27 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20306,zip_derived_cl6]) ).
thf(zip_derived_cl1524_848,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9230_849,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ sk_ @ n27 ) ) ) ) )
<= ( sk__1 = n27 ) ),
inference(demod,[status(thm)],[zip_derived_cl2597,zip_derived_cl59]) ).
thf(zip_derived_cl9233,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n28 ) ) @ ( sum @ n27 @ ( pred @ ( sum @ n2 @ n27 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n27 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl9230]) ).
thf(zip_derived_cl184_850,plain,
( ( sum @ n2 @ n28 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_851,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183,plain,
( ( sum @ n2 @ n27 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_852,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl959_853,plain,
( ( sum @ n27 @ n28 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1017,plain,
( ( sum @ n29 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20304,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n2 )
& ( sk__1 = n27 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9233,zip_derived_cl184,zip_derived_cl93,zip_derived_cl183,zip_derived_cl92,zip_derived_cl959,zip_derived_cl1017]) ).
thf(zip_derived_cl8_854,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('149',plain,
( ( sk__1 != n27 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20304,zip_derived_cl8]) ).
thf(zip_derived_cl1527_855,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_856,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9433,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n5 @ n30 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl9427]) ).
thf(zip_derived_cl249_857,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_858,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279,plain,
( ( sum @ n5 @ n30 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_859,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1027,plain,
( ( sum @ n30 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_860,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20720,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n5 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9433,zip_derived_cl249,zip_derived_cl68,zip_derived_cl279,zip_derived_cl67,zip_derived_cl1027,zip_derived_cl220]) ).
thf(zip_derived_cl24_861,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('150',plain,
( ( sk_ != n5 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20720,zip_derived_cl24]) ).
thf(zip_derived_cl1527_862,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_863,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9368,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n5 @ n29 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl9362]) ).
thf(zip_derived_cl279_864,plain,
( ( sum @ n5 @ n30 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_865,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_866,plain,
( ( sum @ n5 @ n29 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_867,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_868,plain,
( ( sum @ n29 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20584,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n5 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9368,zip_derived_cl279,zip_derived_cl67,zip_derived_cl278,zip_derived_cl66,zip_derived_cl995,zip_derived_cl187]) ).
thf(zip_derived_cl27_869,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('151',plain,
( ( sk_ != n5 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20584,zip_derived_cl27]) ).
thf(zip_derived_cl1527_870,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_871,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9148,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n5 @ n26 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl9142]) ).
thf(zip_derived_cl276_872,plain,
( ( sum @ n5 @ n27 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_873,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275,plain,
( ( sum @ n5 @ n26 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_874,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930,plain,
( ( sum @ n26 @ n30 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_875,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20174,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n5 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9148,zip_derived_cl276,zip_derived_cl64,zip_derived_cl275,zip_derived_cl63,zip_derived_cl930,zip_derived_cl119]) ).
thf(zip_derived_cl5_876,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('152',plain,
( ( sk_ != n5 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20174,zip_derived_cl5]) ).
thf(zip_derived_cl1527_877,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_878,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9083,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n5 @ n25 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl9077]) ).
thf(zip_derived_cl275_879,plain,
( ( sum @ n5 @ n26 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_880,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274,plain,
( ( sum @ n5 @ n25 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_881,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_882,plain,
( ( sum @ n25 @ n29 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1047,plain,
( ( sum @ n30 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20038,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n5 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9083,zip_derived_cl275,zip_derived_cl63,zip_derived_cl274,zip_derived_cl93,zip_derived_cl898,zip_derived_cl1047]) ).
thf(zip_derived_cl8_883,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('153',plain,
( ( sk_ != n5 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20038,zip_derived_cl8]) ).
thf(zip_derived_cl1527_884,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_885,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n5 @ n24 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl9012]) ).
thf(zip_derived_cl274_886,plain,
( ( sum @ n5 @ n25 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_887,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273,plain,
( ( sum @ n5 @ n24 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_888,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl866_889,plain,
( ( sum @ n24 @ n28 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1014,plain,
( ( sum @ n29 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19902,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n5 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9018,zip_derived_cl274,zip_derived_cl93,zip_derived_cl273,zip_derived_cl92,zip_derived_cl866,zip_derived_cl1014]) ).
thf(zip_derived_cl11_890,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('154',plain,
( ( sk_ != n5 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19902,zip_derived_cl11]) ).
thf(zip_derived_cl1527_891,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_892,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8953,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n5 @ n23 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8947]) ).
thf(zip_derived_cl273_893,plain,
( ( sum @ n5 @ n24 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_894,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272,plain,
( ( sum @ n5 @ n23 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_895,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl834_896,plain,
( ( sum @ n23 @ n27 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl981_897,plain,
( ( sum @ n28 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19766,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n5 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8953,zip_derived_cl273,zip_derived_cl92,zip_derived_cl272,zip_derived_cl91,zip_derived_cl834,zip_derived_cl981]) ).
thf(zip_derived_cl14_898,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('155',plain,
( ( sk_ != n5 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19766,zip_derived_cl14]) ).
thf(zip_derived_cl1527_899,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_900,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8888,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n5 @ n22 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8882]) ).
thf(zip_derived_cl272_901,plain,
( ( sum @ n5 @ n23 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_902,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271,plain,
( ( sum @ n5 @ n22 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_903,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802,plain,
( ( sum @ n22 @ n26 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl948_904,plain,
( ( sum @ n27 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19630,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n5 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8888,zip_derived_cl272,zip_derived_cl91,zip_derived_cl271,zip_derived_cl90,zip_derived_cl802,zip_derived_cl948]) ).
thf(zip_derived_cl17_905,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('156',plain,
( ( sk_ != n5 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19630,zip_derived_cl17]) ).
thf(zip_derived_cl1527_906,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_907,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8820,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n5 @ n21 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8814]) ).
thf(zip_derived_cl271_908,plain,
( ( sum @ n5 @ n22 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_909,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270,plain,
( ( sum @ n5 @ n21 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_910,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770,plain,
( ( sum @ n21 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl915,plain,
( ( sum @ n26 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19492,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n5 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8820,zip_derived_cl271,zip_derived_cl90,zip_derived_cl270,zip_derived_cl89,zip_derived_cl770,zip_derived_cl915]) ).
thf(zip_derived_cl20_911,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('157',plain,
( ( sk_ != n5 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19492,zip_derived_cl20]) ).
thf(zip_derived_cl1527_912,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_913,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8744,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n5 @ n20 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8738]) ).
thf(zip_derived_cl270_914,plain,
( ( sum @ n5 @ n21 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_915,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_916,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738,plain,
( ( sum @ n20 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl882,plain,
( ( sum @ n25 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19356,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n5 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8744,zip_derived_cl270,zip_derived_cl89,zip_derived_cl269,zip_derived_cl88,zip_derived_cl738,zip_derived_cl882]) ).
thf(zip_derived_cl23_917,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('158',plain,
( ( sk_ != n5 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19356,zip_derived_cl23]) ).
thf(zip_derived_cl1527_918,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_919,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8679,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n5 @ n19 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8673]) ).
thf(zip_derived_cl269_920,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_921,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_922,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706,plain,
( ( sum @ n19 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl849,plain,
( ( sum @ n24 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19220,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n5 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8679,zip_derived_cl269,zip_derived_cl88,zip_derived_cl268,zip_derived_cl87,zip_derived_cl706,zip_derived_cl849]) ).
thf(zip_derived_cl26_923,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('159',plain,
( ( sk_ != n5 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19220,zip_derived_cl26]) ).
thf(zip_derived_cl1527_924,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_925,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8604,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n5 @ n18 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8598]) ).
thf(zip_derived_cl268_926,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_927,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_928,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674,plain,
( ( sum @ n18 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl816,plain,
( ( sum @ n23 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19084,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n5 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8604,zip_derived_cl268,zip_derived_cl87,zip_derived_cl267,zip_derived_cl86,zip_derived_cl674,zip_derived_cl816]) ).
thf(zip_derived_cl29_929,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('160',plain,
( ( sk_ != n5 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19084,zip_derived_cl29]) ).
thf(zip_derived_cl1527_930,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_931,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8535,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n5 @ n17 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8529]) ).
thf(zip_derived_cl267_932,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_933,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_934,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642,plain,
( ( sum @ n17 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl783,plain,
( ( sum @ n22 @ n7 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18948,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n5 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8535,zip_derived_cl267,zip_derived_cl86,zip_derived_cl266,zip_derived_cl85,zip_derived_cl642,zip_derived_cl783]) ).
thf(zip_derived_cl1_935,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('161',plain,
( ( sk_ != n5 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18948,zip_derived_cl1]) ).
thf(zip_derived_cl1527_936,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_937,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8467,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n5 @ n16 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8461]) ).
thf(zip_derived_cl266_938,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_939,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_940,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610,plain,
( ( sum @ n16 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl750,plain,
( ( sum @ n21 @ n5 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18810,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n5 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8467,zip_derived_cl266,zip_derived_cl85,zip_derived_cl265,zip_derived_cl84,zip_derived_cl610,zip_derived_cl750]) ).
thf(zip_derived_cl4_941,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('162',plain,
( ( sk_ != n5 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18810,zip_derived_cl4]) ).
thf(zip_derived_cl1527_942,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_943,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8402,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n5 @ n15 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8396]) ).
thf(zip_derived_cl265_944,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_945,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_946,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578,plain,
( ( sum @ n15 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18674,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n5 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8402,zip_derived_cl265,zip_derived_cl84,zip_derived_cl264,zip_derived_cl83,zip_derived_cl578,zip_derived_cl717]) ).
thf(zip_derived_cl7_947,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('163',plain,
( ( sk_ != n5 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18674,zip_derived_cl7]) ).
thf(zip_derived_cl1527_948,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_949,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8323,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n5 @ n14 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8317]) ).
thf(zip_derived_cl264_950,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_951,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_952,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546,plain,
( ( sum @ n14 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684_953,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18538,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n5 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8323,zip_derived_cl264,zip_derived_cl83,zip_derived_cl263,zip_derived_cl82,zip_derived_cl546,zip_derived_cl684]) ).
thf(zip_derived_cl10_954,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('164',plain,
( ( sk_ != n5 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18538,zip_derived_cl10]) ).
thf(zip_derived_cl1527_955,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_956,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8258,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n5 @ n13 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8252]) ).
thf(zip_derived_cl263_957,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_958,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_959,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514,plain,
( ( sum @ n13 @ n17 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682,plain,
( ( sum @ n18 @ n30 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18402,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n5 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8258,zip_derived_cl263,zip_derived_cl82,zip_derived_cl262,zip_derived_cl81,zip_derived_cl514,zip_derived_cl682]) ).
thf(zip_derived_cl13_960,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('165',plain,
( ( sk_ != n5 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18402,zip_derived_cl13]) ).
thf(zip_derived_cl1527_961,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_962,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8188,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n5 @ n12 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl8182]) ).
thf(zip_derived_cl262_963,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_964,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_965,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482,plain,
( ( sum @ n12 @ n16 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649_966,plain,
( ( sum @ n17 @ n28 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18266,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n5 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8188,zip_derived_cl262,zip_derived_cl81,zip_derived_cl261,zip_derived_cl80,zip_derived_cl482,zip_derived_cl649]) ).
thf(zip_derived_cl16_967,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('166',plain,
( ( sk_ != n5 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18266,zip_derived_cl16]) ).
thf(zip_derived_cl1527_968,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_969,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5427,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n5 @ n11 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl5421]) ).
thf(zip_derived_cl261_970,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_971,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_972,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450,plain,
( ( sum @ n11 @ n15 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616,plain,
( ( sum @ n16 @ n26 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16052,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n5 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5427,zip_derived_cl261,zip_derived_cl80,zip_derived_cl260,zip_derived_cl79,zip_derived_cl450,zip_derived_cl616]) ).
thf(zip_derived_cl19_973,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('167',plain,
( ( sk_ != n5 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16052,zip_derived_cl19]) ).
thf(zip_derived_cl1527_974,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_975,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4986,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n5 @ n10 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl4980]) ).
thf(zip_derived_cl260_976,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_977,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_978,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583,plain,
( ( sum @ n15 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15473,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n5 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4986,zip_derived_cl260,zip_derived_cl79,zip_derived_cl259,zip_derived_cl78,zip_derived_cl418,zip_derived_cl583]) ).
thf(zip_derived_cl22_979,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('168',plain,
( ( sk_ != n5 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15473,zip_derived_cl22]) ).
thf(zip_derived_cl1527_980,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_981,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4543,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n5 @ n9 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl4537]) ).
thf(zip_derived_cl259_982,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_983,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_984,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_985,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550,plain,
( ( sum @ n14 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15007,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n5 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4543,zip_derived_cl259,zip_derived_cl78,zip_derived_cl258,zip_derived_cl77,zip_derived_cl386,zip_derived_cl550]) ).
thf(zip_derived_cl25_986,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('169',plain,
( ( sk_ != n5 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15007,zip_derived_cl25]) ).
thf(zip_derived_cl1527_987,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_988,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4093,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n5 @ n8 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl4087]) ).
thf(zip_derived_cl258_989,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_990,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_991,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_992,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517,plain,
( ( sum @ n13 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14597,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n5 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4093,zip_derived_cl258,zip_derived_cl77,zip_derived_cl257,zip_derived_cl76,zip_derived_cl354,zip_derived_cl517]) ).
thf(zip_derived_cl28_993,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('170',plain,
( ( sk_ != n5 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14597,zip_derived_cl28]) ).
thf(zip_derived_cl1527_994,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_995,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3672,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n5 @ n7 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl3666]) ).
thf(zip_derived_cl257_996,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_997,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_998,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484,plain,
( ( sum @ n12 @ n18 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14297,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n5 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3672,zip_derived_cl257,zip_derived_cl76,zip_derived_cl256,zip_derived_cl75,zip_derived_cl322,zip_derived_cl484]) ).
thf(zip_derived_cl0_999,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('171',plain,
( ( sk_ != n5 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14297,zip_derived_cl0]) ).
thf(zip_derived_cl1527_1000,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_1001,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3409,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n5 @ n6 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl3394]) ).
thf(zip_derived_cl256_1002,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1003,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1004,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_1005,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451,plain,
( ( sum @ n11 @ n16 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14186,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n5 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3409,zip_derived_cl256,zip_derived_cl75,zip_derived_cl255,zip_derived_cl74,zip_derived_cl290,zip_derived_cl451]) ).
thf(zip_derived_cl3_1006,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('172',plain,
( ( sk_ != n5 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14186,zip_derived_cl3]) ).
thf(zip_derived_cl1527_1007,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_1008,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3113,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n5 @ n5 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl3103]) ).
thf(zip_derived_cl255_1009,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1010,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_1011,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1012,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_1013,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_1014,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14084,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n5 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3113,zip_derived_cl255,zip_derived_cl74,zip_derived_cl254,zip_derived_cl73,zip_derived_cl258,zip_derived_cl418]) ).
thf(zip_derived_cl6_1015,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('173',plain,
( ( sk_ != n5 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14084,zip_derived_cl6]) ).
thf(zip_derived_cl1527_1016,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1017,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n5 @ n4 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl3009]) ).
thf(zip_derived_cl254_1018,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1019,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_1020,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1021,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14000,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3018,zip_derived_cl254,zip_derived_cl73,zip_derived_cl253,zip_derived_cl72,zip_derived_cl226,zip_derived_cl385]) ).
thf(zip_derived_cl9_1022,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('174',plain,
( ( sk_ != n5 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14000,zip_derived_cl9]) ).
thf(zip_derived_cl1527_1023,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_1024,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2940,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n5 @ n3 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl2932]) ).
thf(zip_derived_cl253_1025,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1026,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1027,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13915,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2940,zip_derived_cl253,zip_derived_cl72,zip_derived_cl252,zip_derived_cl71,zip_derived_cl194,zip_derived_cl352]) ).
thf(zip_derived_cl12_1028,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('175',plain,
( ( sk_ != n5 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13915,zip_derived_cl12]) ).
thf(zip_derived_cl1527_1029,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1030,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2868,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n5 @ n2 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl2861]) ).
thf(zip_derived_cl252_1031,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1032,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_1033,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1034,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13843,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2868,zip_derived_cl252,zip_derived_cl71,zip_derived_cl251,zip_derived_cl70,zip_derived_cl162,zip_derived_cl319]) ).
thf(zip_derived_cl15_1035,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('176',plain,
( ( sk_ != n5 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13843,zip_derived_cl15]) ).
thf(zip_derived_cl1527_1036,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_1037,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2733,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n5 @ n0 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl2727]) ).
thf(zip_derived_cl250_1038,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1039,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_1040,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1041,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_1042,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_1043,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13728,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2733,zip_derived_cl250,zip_derived_cl69,zip_derived_cl249,zip_derived_cl68,zip_derived_cl98,zip_derived_cl253]) ).
thf(zip_derived_cl21_1044,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('177',plain,
( ( sk_ != n5 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13728,zip_derived_cl21]) ).
thf(zip_derived_cl1027_1045,plain,
( ( sum @ n30 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_1046,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1047,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2893,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n30 @ n2 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl2861]) ).
thf(zip_derived_cl16595,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n2 @ ( pred @ ( sum @ n30 @ n2 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1027,zip_derived_cl2893]) ).
thf(zip_derived_cl65_1048,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1026_1049,plain,
( ( sum @ n30 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1050,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_1051,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16600,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n30 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16595,zip_derived_cl65,zip_derived_cl1026,zip_derived_cl64,zip_derived_cl156,zip_derived_cl127]) ).
thf(zip_derived_cl27_1052,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('178',plain,
( ( sk__1 != n2 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16600,zip_derived_cl27]) ).
thf(zip_derived_cl965_1053,plain,
( ( sum @ n28 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_1054,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1055,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2891,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n28 @ n2 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl2861]) ).
thf(zip_derived_cl16119,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n2 @ ( pred @ ( sum @ n28 @ n2 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl965,zip_derived_cl2891]) ).
thf(zip_derived_cl63_1056,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl964_1057,plain,
( ( sum @ n28 @ n2 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_1058,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_1059,plain,
( ( sum @ n2 @ n29 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16123,plain,
( ( sk__2
= ( sum @ n30 @ n0 ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16119,zip_derived_cl63,zip_derived_cl964,zip_derived_cl93,zip_derived_cl185]) ).
thf(zip_derived_cl1024,plain,
( ( sum @ n30 @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16565,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n28 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16123,zip_derived_cl1024]) ).
thf(zip_derived_cl0_1060,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('179',plain,
( ( sk__1 != n2 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16565,zip_derived_cl0]) ).
thf(zip_derived_cl934_1061,plain,
( ( sum @ n27 @ n3 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1062,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1063,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2890,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n27 @ n2 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl2861]) ).
thf(zip_derived_cl15891,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n2 @ ( pred @ ( sum @ n27 @ n2 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl934,zip_derived_cl2890]) ).
thf(zip_derived_cl93_1064,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl933_1065,plain,
( ( sum @ n27 @ n2 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_1066,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_1067,plain,
( ( sum @ n2 @ n28 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15896,plain,
( ( sk__2
= ( sum @ n29 @ n30 ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15891,zip_derived_cl93,zip_derived_cl933,zip_derived_cl92,zip_derived_cl184]) ).
thf(zip_derived_cl1023,plain,
( ( sum @ n29 @ n30 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16556,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n27 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15896,zip_derived_cl1023]) ).
thf(zip_derived_cl2_1068,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('180',plain,
( ( sk__1 != n2 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16556,zip_derived_cl2]) ).
thf(zip_derived_cl996,plain,
( ( sum @ n29 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1069,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1070,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2892,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n29 @ n2 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl2861]) ).
thf(zip_derived_cl16349,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n2 @ ( pred @ ( sum @ n29 @ n2 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl996,zip_derived_cl2892]) ).
thf(zip_derived_cl64_1071,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl995_1072,plain,
( ( sum @ n29 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1073,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186,plain,
( ( sum @ n2 @ n30 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_1074,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16354,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n29 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16349,zip_derived_cl64,zip_derived_cl995,zip_derived_cl63,zip_derived_cl186,zip_derived_cl95]) ).
thf(zip_derived_cl29_1075,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('181',plain,
( ( sk__1 != n2 )
| ( sk_ != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16354,zip_derived_cl29]) ).
thf(zip_derived_cl903,plain,
( ( sum @ n26 @ n3 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_1076,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1077,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2889,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n26 @ n2 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl2861]) ).
thf(zip_derived_cl15671,plain,
( ( sk__2
= ( sum @ ( pred @ n29 ) @ ( sum @ n2 @ ( pred @ ( sum @ n26 @ n2 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl903,zip_derived_cl2889]) ).
thf(zip_derived_cl92_1078,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl902_1079,plain,
( ( sum @ n26 @ n2 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1080,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_1081,plain,
( ( sum @ n2 @ n27 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15675,plain,
( ( sk__2
= ( sum @ n28 @ n29 ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15671,zip_derived_cl92,zip_derived_cl902,zip_derived_cl91,zip_derived_cl183]) ).
thf(zip_derived_cl991_1082,plain,
( ( sum @ n28 @ n29 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16302,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n26 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15675,zip_derived_cl991]) ).
thf(zip_derived_cl4_1083,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('182',plain,
( ( sk__1 != n2 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16302,zip_derived_cl4]) ).
thf(zip_derived_cl872,plain,
( ( sum @ n25 @ n3 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_1084,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1085,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2888,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n25 @ n2 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl2861]) ).
thf(zip_derived_cl15494,plain,
( ( sk__2
= ( sum @ ( pred @ n28 ) @ ( sum @ n2 @ ( pred @ ( sum @ n25 @ n2 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl872,zip_derived_cl2888]) ).
thf(zip_derived_cl91_1086,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl871_1087,plain,
( ( sum @ n25 @ n2 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1088,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182,plain,
( ( sum @ n2 @ n26 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15496,plain,
( ( sk__2
= ( sum @ n27 @ n28 ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15494,zip_derived_cl91,zip_derived_cl871,zip_derived_cl90,zip_derived_cl182]) ).
thf(zip_derived_cl959_1089,plain,
( ( sum @ n27 @ n28 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16072,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n25 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15496,zip_derived_cl959]) ).
thf(zip_derived_cl6_1090,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('183',plain,
( ( sk__1 != n2 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16072,zip_derived_cl6]) ).
thf(zip_derived_cl841,plain,
( ( sum @ n24 @ n3 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_1091,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1092,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2887,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n24 @ n2 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl2861]) ).
thf(zip_derived_cl15270,plain,
( ( sk__2
= ( sum @ ( pred @ n27 ) @ ( sum @ n2 @ ( pred @ ( sum @ n24 @ n2 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl841,zip_derived_cl2887]) ).
thf(zip_derived_cl90_1093,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl840_1094,plain,
( ( sum @ n24 @ n2 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1095,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181,plain,
( ( sum @ n2 @ n25 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15272,plain,
( ( sk__2
= ( sum @ n26 @ n27 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15270,zip_derived_cl90,zip_derived_cl840,zip_derived_cl89,zip_derived_cl181]) ).
thf(zip_derived_cl927_1096,plain,
( ( sum @ n26 @ n27 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15826,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n24 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15272,zip_derived_cl927]) ).
thf(zip_derived_cl8_1097,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('184',plain,
( ( sk__1 != n2 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15826,zip_derived_cl8]) ).
thf(zip_derived_cl810,plain,
( ( sum @ n23 @ n3 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_1098,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1099,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2886,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n23 @ n2 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl2861]) ).
thf(zip_derived_cl15085,plain,
( ( sk__2
= ( sum @ ( pred @ n26 ) @ ( sum @ n2 @ ( pred @ ( sum @ n23 @ n2 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl810,zip_derived_cl2886]) ).
thf(zip_derived_cl89_1100,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl809_1101,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1102,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180,plain,
( ( sum @ n2 @ n24 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15087,plain,
( ( sk__2
= ( sum @ n25 @ n26 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15085,zip_derived_cl89,zip_derived_cl809,zip_derived_cl88,zip_derived_cl180]) ).
thf(zip_derived_cl895,plain,
( ( sum @ n25 @ n26 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15608,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n23 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15087,zip_derived_cl895]) ).
thf(zip_derived_cl10_1103,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('185',plain,
( ( sk__1 != n2 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15608,zip_derived_cl10]) ).
thf(zip_derived_cl779,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_1104,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1105,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2885,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n22 @ n2 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl2861]) ).
thf(zip_derived_cl14924,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n2 @ ( pred @ ( sum @ n22 @ n2 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl779,zip_derived_cl2885]) ).
thf(zip_derived_cl88_1106,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl778_1107,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_1108,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14926,plain,
( ( sk__2
= ( sum @ n24 @ n25 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14924,zip_derived_cl88,zip_derived_cl778,zip_derived_cl87,zip_derived_cl179]) ).
thf(zip_derived_cl863,plain,
( ( sum @ n24 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15414,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n22 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14926,zip_derived_cl863]) ).
thf(zip_derived_cl12_1109,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('186',plain,
( ( sk__1 != n2 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15414,zip_derived_cl12]) ).
thf(zip_derived_cl748,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_1110,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1111,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2884,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n21 @ n2 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl2861]) ).
thf(zip_derived_cl14729,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n2 @ ( pred @ ( sum @ n21 @ n2 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl748,zip_derived_cl2884]) ).
thf(zip_derived_cl87_1112,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747_1113,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1114,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14731,plain,
( ( sk__2
= ( sum @ n23 @ n24 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14729,zip_derived_cl87,zip_derived_cl747,zip_derived_cl86,zip_derived_cl178]) ).
thf(zip_derived_cl831,plain,
( ( sum @ n23 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15185,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n21 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14731,zip_derived_cl831]) ).
thf(zip_derived_cl14_1115,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('187',plain,
( ( sk__1 != n2 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15185,zip_derived_cl14]) ).
thf(zip_derived_cl717_1116,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_1117,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1118,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2883,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n20 @ n2 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl2861]) ).
thf(zip_derived_cl14592,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n2 @ ( pred @ ( sum @ n20 @ n2 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl2883]) ).
thf(zip_derived_cl86_1119,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716_1120,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1121,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14594,plain,
( ( sk__2
= ( sum @ n22 @ n23 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14592,zip_derived_cl86,zip_derived_cl716,zip_derived_cl85,zip_derived_cl177]) ).
thf(zip_derived_cl799,plain,
( ( sum @ n22 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15028,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14594,zip_derived_cl799]) ).
thf(zip_derived_cl16_1122,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('188',plain,
( ( sk__1 != n2 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15028,zip_derived_cl16]) ).
thf(zip_derived_cl686,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_1123,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1124,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2882,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n19 @ n2 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl2861]) ).
thf(zip_derived_cl14395,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n2 @ ( pred @ ( sum @ n19 @ n2 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl686,zip_derived_cl2882]) ).
thf(zip_derived_cl85_1125,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl685_1126,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1127,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14398,plain,
( ( sk__2
= ( sum @ n21 @ n22 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14395,zip_derived_cl85,zip_derived_cl685,zip_derived_cl84,zip_derived_cl176]) ).
thf(zip_derived_cl767,plain,
( ( sum @ n21 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14830,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14398,zip_derived_cl767]) ).
thf(zip_derived_cl18_1128,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('189',plain,
( ( sk__1 != n2 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14830,zip_derived_cl18]) ).
thf(zip_derived_cl655_1129,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_1130,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1131,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2881,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n18 @ n2 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl2861]) ).
thf(zip_derived_cl14268,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n2 @ ( pred @ ( sum @ n18 @ n2 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl655,zip_derived_cl2881]) ).
thf(zip_derived_cl84_1132,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654_1133,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1134,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14270,plain,
( ( sk__2
= ( sum @ n20 @ n21 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14268,zip_derived_cl84,zip_derived_cl654,zip_derived_cl83,zip_derived_cl175]) ).
thf(zip_derived_cl735,plain,
( ( sum @ n20 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14661,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14270,zip_derived_cl735]) ).
thf(zip_derived_cl20_1135,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('190',plain,
( ( sk_ != n18 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14661,zip_derived_cl20]) ).
thf(zip_derived_cl624,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_1136,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1137,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2880,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n17 @ n2 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl2861]) ).
thf(zip_derived_cl14157,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n2 @ ( pred @ ( sum @ n17 @ n2 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl624,zip_derived_cl2880]) ).
thf(zip_derived_cl83_1138,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_1139,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1140,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14159,plain,
( ( sk__2
= ( sum @ n19 @ n20 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14157,zip_derived_cl83,zip_derived_cl623,zip_derived_cl82,zip_derived_cl174]) ).
thf(zip_derived_cl703,plain,
( ( sum @ n19 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14495,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14159,zip_derived_cl703]) ).
thf(zip_derived_cl22_1141,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('191',plain,
( ( sk__1 != n2 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14495,zip_derived_cl22]) ).
thf(zip_derived_cl593,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_1142,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1143,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2879,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n16 @ n2 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl2861]) ).
thf(zip_derived_cl14053,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n2 @ ( pred @ ( sum @ n16 @ n2 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl593,zip_derived_cl2879]) ).
thf(zip_derived_cl82_1144,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_1145,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1146,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14056,plain,
( ( sk__2
= ( sum @ n18 @ n19 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14053,zip_derived_cl82,zip_derived_cl592,zip_derived_cl81,zip_derived_cl173]) ).
thf(zip_derived_cl671,plain,
( ( sum @ n18 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14324,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14056,zip_derived_cl671]) ).
thf(zip_derived_cl24_1147,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('192',plain,
( ( sk__1 != n2 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14324,zip_derived_cl24]) ).
thf(zip_derived_cl562,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_1148,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1149,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2878,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n15 @ n2 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl2861]) ).
thf(zip_derived_cl13945,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n2 @ ( pred @ ( sum @ n15 @ n2 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl562,zip_derived_cl2878]) ).
thf(zip_derived_cl81_1150,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561_1151,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1152,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13948,plain,
( ( sk__2
= ( sum @ n17 @ n18 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13945,zip_derived_cl81,zip_derived_cl561,zip_derived_cl80,zip_derived_cl172]) ).
thf(zip_derived_cl639,plain,
( ( sum @ n17 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14209,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13948,zip_derived_cl639]) ).
thf(zip_derived_cl26_1153,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('193',plain,
( ( sk__1 != n2 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14209,zip_derived_cl26]) ).
thf(zip_derived_cl1536_1154,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1155,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2877,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n14 @ n2 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl2861]) ).
thf(zip_derived_cl531,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1156,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_1157,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1158,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13871,plain,
( ( sk__2
= ( sum @ n16 @ n17 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2877,zip_derived_cl531,zip_derived_cl80,zip_derived_cl530,zip_derived_cl79,zip_derived_cl171]) ).
thf(zip_derived_cl607,plain,
( ( sum @ n16 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14102,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13871,zip_derived_cl607]) ).
thf(zip_derived_cl28_1159,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('194',plain,
( ( sk__1 != n2 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14102,zip_derived_cl28]) ).
thf(zip_derived_cl1535_1160,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1161,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2876,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n13 @ n2 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl2861]) ).
thf(zip_derived_cl500,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1162,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_1163,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1164,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13870,plain,
( ( sk__2
= ( sum @ n15 @ n16 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2876,zip_derived_cl500,zip_derived_cl79,zip_derived_cl499,zip_derived_cl78,zip_derived_cl170]) ).
thf(zip_derived_cl575,plain,
( ( sum @ n15 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13986,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13870,zip_derived_cl575]) ).
thf(zip_derived_cl30_1165,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('195',plain,
( ( sk__1 != n2 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13986,zip_derived_cl30]) ).
thf(zip_derived_cl1534_1166,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1167,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2875,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n12 @ n2 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl2861]) ).
thf(zip_derived_cl469,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1168,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_1169,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1170,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13869,plain,
( ( sk__2
= ( sum @ n14 @ n15 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2875,zip_derived_cl469,zip_derived_cl78,zip_derived_cl468,zip_derived_cl77,zip_derived_cl169]) ).
thf(zip_derived_cl543,plain,
( ( sum @ n14 @ n15 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13902,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13869,zip_derived_cl543]) ).
thf(zip_derived_cl1_1171,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('196',plain,
( ( sk__1 != n2 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13902,zip_derived_cl1]) ).
thf(zip_derived_cl1533_1172,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1173,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2874,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n11 @ n2 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl2861]) ).
thf(zip_derived_cl438,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1174,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_1175,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1176,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl511,plain,
( ( sum @ n13 @ n14 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13863,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2874,zip_derived_cl438,zip_derived_cl77,zip_derived_cl437,zip_derived_cl76,zip_derived_cl168,zip_derived_cl511]) ).
thf(zip_derived_cl3_1177,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('197',plain,
( ( sk_ != n11 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13863,zip_derived_cl3]) ).
thf(zip_derived_cl1532_1178,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1179,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2873,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n10 @ n2 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl2861]) ).
thf(zip_derived_cl407,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1180,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_1181,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1182,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13855,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2873,zip_derived_cl407,zip_derived_cl76,zip_derived_cl406,zip_derived_cl75,zip_derived_cl167,zip_derived_cl479]) ).
thf(zip_derived_cl5_1183,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('198',plain,
( ( sk__1 != n2 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13855,zip_derived_cl5]) ).
thf(zip_derived_cl1531_1184,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1185,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2872,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n9 @ n2 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl2861]) ).
thf(zip_derived_cl376,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1186,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_1187,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1188,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13853,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2872,zip_derived_cl376,zip_derived_cl75,zip_derived_cl375,zip_derived_cl74,zip_derived_cl166,zip_derived_cl447]) ).
thf(zip_derived_cl7_1189,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('199',plain,
( ( sk__1 != n2 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13853,zip_derived_cl7]) ).
thf(zip_derived_cl1530_1190,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1191,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2871,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n8 @ n2 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl2861]) ).
thf(zip_derived_cl345_1192,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1193,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_1194,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1195,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13851,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2871,zip_derived_cl345,zip_derived_cl74,zip_derived_cl344,zip_derived_cl73,zip_derived_cl165,zip_derived_cl415]) ).
thf(zip_derived_cl9_1196,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('200',plain,
( ( sk__1 != n2 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13851,zip_derived_cl9]) ).
thf(zip_derived_cl1529_1197,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1198,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2870,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n7 @ n2 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl2861]) ).
thf(zip_derived_cl314_1199,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1200,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_1201,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1202,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13847,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2870,zip_derived_cl314,zip_derived_cl73,zip_derived_cl313,zip_derived_cl72,zip_derived_cl164,zip_derived_cl383]) ).
thf(zip_derived_cl11_1203,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('201',plain,
( ( sk__1 != n2 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13847,zip_derived_cl11]) ).
thf(zip_derived_cl1528_1204,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1205,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2869,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n6 @ n2 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl2861]) ).
thf(zip_derived_cl283,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1206,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_1207,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1208,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13845,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2869,zip_derived_cl283,zip_derived_cl72,zip_derived_cl282,zip_derived_cl71,zip_derived_cl163,zip_derived_cl351]) ).
thf(zip_derived_cl13_1209,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('202',plain,
( ( sk__1 != n2 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13845,zip_derived_cl13]) ).
thf(zip_derived_cl1526_1210,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1211,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2867,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n4 @ n2 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl2861]) ).
thf(zip_derived_cl221_1212,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1213,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_1214,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1215,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13841,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n4 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2867,zip_derived_cl221,zip_derived_cl70,zip_derived_cl220,zip_derived_cl69,zip_derived_cl161,zip_derived_cl287]) ).
thf(zip_derived_cl17_1216,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('203',plain,
( ( sk__1 != n2 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13841,zip_derived_cl17]) ).
thf(zip_derived_cl1525_1217,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1218,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2866,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n3 @ n2 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl2861]) ).
thf(zip_derived_cl190_1219,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1220,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_1221,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1222,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_1223,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13839,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n3 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2866,zip_derived_cl190,zip_derived_cl69,zip_derived_cl189,zip_derived_cl68,zip_derived_cl160,zip_derived_cl255]) ).
thf(zip_derived_cl19_1224,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('204',plain,
( ( sk__1 != n2 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13839,zip_derived_cl19]) ).
thf(zip_derived_cl1524_1225,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2861_1226,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl34]) ).
thf(zip_derived_cl2865,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ n2 @ n2 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl2861]) ).
thf(zip_derived_cl159_1227,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1228,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_1229,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1230,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_1231,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13837,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n2 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2865,zip_derived_cl159,zip_derived_cl68,zip_derived_cl158,zip_derived_cl67,zip_derived_cl159,zip_derived_cl223]) ).
thf(zip_derived_cl21_1232,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('205',plain,
( ( sk__1 != n2 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13837,zip_derived_cl21]) ).
thf(zip_derived_cl1524_1233,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_1234,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n2 @ n30 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl9427]) ).
thf(zip_derived_cl156_1235,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1236,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_1237,plain,
( ( sum @ n2 @ n30 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1238,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1024_1239,plain,
( ( sum @ n30 @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_1240,plain,
( ( sum @ n1 @ n30 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20714,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n2 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9430,zip_derived_cl156,zip_derived_cl65,zip_derived_cl186,zip_derived_cl64,zip_derived_cl1024,zip_derived_cl155]) ).
thf(zip_derived_cl30_1241,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('206',plain,
( ( sk_ != n2 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20714,zip_derived_cl30]) ).
thf(zip_derived_cl1524_1242,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_1243,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9365,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n2 @ n29 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl9362]) ).
thf(zip_derived_cl186_1244,plain,
( ( sum @ n2 @ n30 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1245,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_1246,plain,
( ( sum @ n2 @ n29 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1247,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1023_1248,plain,
( ( sum @ n29 @ n30 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_1249,plain,
( ( sum @ n0 @ n28 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20578,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n2 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9365,zip_derived_cl186,zip_derived_cl64,zip_derived_cl185,zip_derived_cl63,zip_derived_cl1023,zip_derived_cl122]) ).
thf(zip_derived_cl2_1250,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('207',plain,
( ( sk_ != n2 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20578,zip_derived_cl2]) ).
thf(zip_derived_cl1524_1251,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_1252,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9145,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n2 @ n26 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl9142]) ).
thf(zip_derived_cl183_1253,plain,
( ( sum @ n2 @ n27 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_1254,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_1255,plain,
( ( sum @ n2 @ n26 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1256,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl927_1257,plain,
( ( sum @ n26 @ n27 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl984_1258,plain,
( ( sum @ n28 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20168,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n2 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9145,zip_derived_cl183,zip_derived_cl92,zip_derived_cl182,zip_derived_cl91,zip_derived_cl927,zip_derived_cl984]) ).
thf(zip_derived_cl11_1259,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('208',plain,
( ( sk_ != n2 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20168,zip_derived_cl11]) ).
thf(zip_derived_cl1524_1260,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_1261,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9080,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n2 @ n25 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl9077]) ).
thf(zip_derived_cl182_1262,plain,
( ( sum @ n2 @ n26 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1263,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_1264,plain,
( ( sum @ n2 @ n25 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1265,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl895_1266,plain,
( ( sum @ n25 @ n26 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl951_1267,plain,
( ( sum @ n27 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20032,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n2 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9080,zip_derived_cl182,zip_derived_cl91,zip_derived_cl181,zip_derived_cl90,zip_derived_cl895,zip_derived_cl951]) ).
thf(zip_derived_cl14_1268,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('209',plain,
( ( sk_ != n2 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20032,zip_derived_cl14]) ).
thf(zip_derived_cl1524_1269,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_1270,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9015,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n2 @ n24 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl9012]) ).
thf(zip_derived_cl181_1271,plain,
( ( sum @ n2 @ n25 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1272,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_1273,plain,
( ( sum @ n2 @ n24 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1274,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl863_1275,plain,
( ( sum @ n24 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl918,plain,
( ( sum @ n26 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19896,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n2 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9015,zip_derived_cl181,zip_derived_cl90,zip_derived_cl180,zip_derived_cl89,zip_derived_cl863,zip_derived_cl918]) ).
thf(zip_derived_cl17_1276,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('210',plain,
( ( sk_ != n2 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19896,zip_derived_cl17]) ).
thf(zip_derived_cl1524_1277,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1278,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8950,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n2 @ n23 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8947]) ).
thf(zip_derived_cl180_1279,plain,
( ( sum @ n2 @ n24 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1280,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_1281,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1282,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl831_1283,plain,
( ( sum @ n23 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl885,plain,
( ( sum @ n25 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19760,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n2 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8950,zip_derived_cl180,zip_derived_cl89,zip_derived_cl179,zip_derived_cl88,zip_derived_cl831,zip_derived_cl885]) ).
thf(zip_derived_cl20_1284,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('211',plain,
( ( sk_ != n2 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19760,zip_derived_cl20]) ).
thf(zip_derived_cl1524_1285,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_1286,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8885,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n2 @ n22 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8882]) ).
thf(zip_derived_cl179_1287,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1288,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_1289,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_1290,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl799_1291,plain,
( ( sum @ n22 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl852,plain,
( ( sum @ n24 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19622,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n2 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8885,zip_derived_cl179,zip_derived_cl88,zip_derived_cl178,zip_derived_cl87,zip_derived_cl799,zip_derived_cl852]) ).
thf(zip_derived_cl23_1292,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('212',plain,
( ( sk_ != n2 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19622,zip_derived_cl23]) ).
thf(zip_derived_cl1524_1293,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_1294,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8817,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n2 @ n21 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8814]) ).
thf(zip_derived_cl178_1295,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_1296,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_1297,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1298,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl767_1299,plain,
( ( sum @ n21 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl819,plain,
( ( sum @ n23 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19486,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n2 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8817,zip_derived_cl178,zip_derived_cl87,zip_derived_cl177,zip_derived_cl86,zip_derived_cl767,zip_derived_cl819]) ).
thf(zip_derived_cl26_1300,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('213',plain,
( ( sk_ != n2 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19486,zip_derived_cl26]) ).
thf(zip_derived_cl1524_1301,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_1302,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8741,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n2 @ n20 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8738]) ).
thf(zip_derived_cl177_1303,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1304,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_1305,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1306,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1307,plain,
( ( sum @ n20 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl786,plain,
( ( sum @ n22 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19350,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n2 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8741,zip_derived_cl177,zip_derived_cl86,zip_derived_cl176,zip_derived_cl85,zip_derived_cl735,zip_derived_cl786]) ).
thf(zip_derived_cl29_1308,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('214',plain,
( ( sk_ != n2 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19350,zip_derived_cl29]) ).
thf(zip_derived_cl1524_1309,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_1310,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8676,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n2 @ n19 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8673]) ).
thf(zip_derived_cl176_1311,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1312,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_1313,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1314,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl703_1315,plain,
( ( sum @ n19 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl753,plain,
( ( sum @ n21 @ n8 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19214,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n2 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8676,zip_derived_cl176,zip_derived_cl85,zip_derived_cl175,zip_derived_cl84,zip_derived_cl703,zip_derived_cl753]) ).
thf(zip_derived_cl1_1316,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('215',plain,
( ( sk_ != n2 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19214,zip_derived_cl1]) ).
thf(zip_derived_cl1524_1317,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_1318,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8601,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n2 @ n18 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8598]) ).
thf(zip_derived_cl175_1319,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1320,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_1321,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1322,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl671_1323,plain,
( ( sum @ n18 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720,plain,
( ( sum @ n20 @ n6 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19078,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n2 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8601,zip_derived_cl175,zip_derived_cl84,zip_derived_cl174,zip_derived_cl83,zip_derived_cl671,zip_derived_cl720]) ).
thf(zip_derived_cl4_1324,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('216',plain,
( ( sk_ != n2 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19078,zip_derived_cl4]) ).
thf(zip_derived_cl1524_1325,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_1326,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8532,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n2 @ n17 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8529]) ).
thf(zip_derived_cl174_1327,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1328,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_1329,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1330,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl639_1331,plain,
( ( sum @ n17 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl687,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18940,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n2 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8532,zip_derived_cl174,zip_derived_cl83,zip_derived_cl173,zip_derived_cl82,zip_derived_cl639,zip_derived_cl687]) ).
thf(zip_derived_cl7_1332,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('217',plain,
( ( sk_ != n2 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18940,zip_derived_cl7]) ).
thf(zip_derived_cl1524_1333,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_1334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8464,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n2 @ n16 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8461]) ).
thf(zip_derived_cl173_1335,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1336,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_1337,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1338,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl607_1339,plain,
( ( sum @ n16 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654_1340,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18804,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n2 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8464,zip_derived_cl173,zip_derived_cl82,zip_derived_cl172,zip_derived_cl81,zip_derived_cl607,zip_derived_cl654]) ).
thf(zip_derived_cl10_1341,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('218',plain,
( ( sk_ != n2 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18804,zip_derived_cl10]) ).
thf(zip_derived_cl1524_1342,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_1343,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8399,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n2 @ n15 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8396]) ).
thf(zip_derived_cl172_1344,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1345,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_1346,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1347,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575_1348,plain,
( ( sum @ n15 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18668,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n2 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8399,zip_derived_cl172,zip_derived_cl81,zip_derived_cl171,zip_derived_cl80,zip_derived_cl575,zip_derived_cl621]) ).
thf(zip_derived_cl13_1349,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('219',plain,
( ( sk_ != n2 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18668,zip_derived_cl13]) ).
thf(zip_derived_cl1524_1350,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_1351,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8320,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n2 @ n14 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8317]) ).
thf(zip_derived_cl171_1352,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1353,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_1354,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1355,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl543_1356,plain,
( ( sum @ n14 @ n15 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619_1357,plain,
( ( sum @ n16 @ n29 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18532,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n2 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8320,zip_derived_cl171,zip_derived_cl80,zip_derived_cl170,zip_derived_cl79,zip_derived_cl543,zip_derived_cl619]) ).
thf(zip_derived_cl16_1358,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('220',plain,
( ( sk_ != n2 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18532,zip_derived_cl16]) ).
thf(zip_derived_cl1524_1359,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_1360,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8255,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n2 @ n13 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8252]) ).
thf(zip_derived_cl170_1361,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1362,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_1363,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1364,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl511_1365,plain,
( ( sum @ n13 @ n14 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586_1366,plain,
( ( sum @ n15 @ n27 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18396,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n2 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8255,zip_derived_cl170,zip_derived_cl79,zip_derived_cl169,zip_derived_cl78,zip_derived_cl511,zip_derived_cl586]) ).
thf(zip_derived_cl19_1367,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('221',plain,
( ( sk_ != n2 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18396,zip_derived_cl19]) ).
thf(zip_derived_cl1524_1368,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_1369,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8185,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n2 @ n12 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl8182]) ).
thf(zip_derived_cl169_1370,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1371,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_1372,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1373,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479_1374,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553,plain,
( ( sum @ n14 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18258,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n2 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8185,zip_derived_cl169,zip_derived_cl78,zip_derived_cl168,zip_derived_cl77,zip_derived_cl479,zip_derived_cl553]) ).
thf(zip_derived_cl22_1375,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('222',plain,
( ( sk_ != n2 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18258,zip_derived_cl22]) ).
thf(zip_derived_cl1524_1376,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_1377,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5424,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n2 @ n11 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl5421]) ).
thf(zip_derived_cl168_1378,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1379,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_1380,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1381,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447_1382,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520,plain,
( ( sum @ n13 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16046,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n2 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5424,zip_derived_cl168,zip_derived_cl77,zip_derived_cl167,zip_derived_cl76,zip_derived_cl447,zip_derived_cl520]) ).
thf(zip_derived_cl25_1383,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('223',plain,
( ( sk_ != n2 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16046,zip_derived_cl25]) ).
thf(zip_derived_cl1524_1384,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_1385,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4983,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n2 @ n10 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl4980]) ).
thf(zip_derived_cl167_1386,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1387,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_1388,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1389,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_1390,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487,plain,
( ( sum @ n12 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15462,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n2 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4983,zip_derived_cl167,zip_derived_cl76,zip_derived_cl166,zip_derived_cl75,zip_derived_cl415,zip_derived_cl487]) ).
thf(zip_derived_cl28_1391,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('224',plain,
( ( sk_ != n2 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15462,zip_derived_cl28]) ).
thf(zip_derived_cl1524_1392,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_1393,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4540,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n2 @ n9 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl4537]) ).
thf(zip_derived_cl166_1394,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1395,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_1396,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1397,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383_1398,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454,plain,
( ( sum @ n11 @ n19 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15001,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n2 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4540,zip_derived_cl166,zip_derived_cl75,zip_derived_cl165,zip_derived_cl74,zip_derived_cl383,zip_derived_cl454]) ).
thf(zip_derived_cl0_1399,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('225',plain,
( ( sk_ != n2 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15001,zip_derived_cl0]) ).
thf(zip_derived_cl1524_1400,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_1401,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4090,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n2 @ n8 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl4087]) ).
thf(zip_derived_cl165_1402,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1403,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1404,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1405,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_1406,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421,plain,
( ( sum @ n10 @ n17 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14575,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n2 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4090,zip_derived_cl165,zip_derived_cl74,zip_derived_cl164,zip_derived_cl73,zip_derived_cl351,zip_derived_cl421]) ).
thf(zip_derived_cl3_1407,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('226',plain,
( ( sk_ != n2 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14575,zip_derived_cl3]) ).
thf(zip_derived_cl1524_1408,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_1409,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3669,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n2 @ n7 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl3666]) ).
thf(zip_derived_cl164_1410,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1411,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_1412,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1413,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_1414,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14255,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n2 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3669,zip_derived_cl164,zip_derived_cl73,zip_derived_cl163,zip_derived_cl72,zip_derived_cl319,zip_derived_cl388]) ).
thf(zip_derived_cl6_1415,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('227',plain,
( ( sk_ != n2 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14255,zip_derived_cl6]) ).
thf(zip_derived_cl1524_1416,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_1417,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3406,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n2 @ n6 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl3394]) ).
thf(zip_derived_cl163_1418,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1419,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1420,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1421,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_1422,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14180,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n2 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3406,zip_derived_cl163,zip_derived_cl72,zip_derived_cl162,zip_derived_cl71,zip_derived_cl287,zip_derived_cl355]) ).
thf(zip_derived_cl9_1423,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('228',plain,
( ( sk_ != n2 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14180,zip_derived_cl9]) ).
thf(zip_derived_cl1524_1424,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_1425,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3110,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n2 @ n5 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl3103]) ).
thf(zip_derived_cl162_1426,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1427,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_1428,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1429,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_1430,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_1431,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14078,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n2 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3110,zip_derived_cl162,zip_derived_cl71,zip_derived_cl161,zip_derived_cl70,zip_derived_cl255,zip_derived_cl322]) ).
thf(zip_derived_cl12_1432,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('229',plain,
( ( sk_ != n2 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14078,zip_derived_cl12]) ).
thf(zip_derived_cl1524_1433,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1434,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3015,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n2 @ n4 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl3009]) ).
thf(zip_derived_cl161_1435,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1436,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1437,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1438,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_1439,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13994,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n2 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3015,zip_derived_cl161,zip_derived_cl70,zip_derived_cl160,zip_derived_cl69,zip_derived_cl223,zip_derived_cl289]) ).
thf(zip_derived_cl15_1440,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('230',plain,
( ( sk_ != n2 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13994,zip_derived_cl15]) ).
thf(zip_derived_cl1524_1441,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_1442,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2937,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n2 @ n3 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl2932]) ).
thf(zip_derived_cl160_1443,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1444,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_1445,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1446,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1447,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_1448,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13909,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n2 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2937,zip_derived_cl160,zip_derived_cl69,zip_derived_cl159,zip_derived_cl68,zip_derived_cl191,zip_derived_cl256]) ).
thf(zip_derived_cl18_1449,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('231',plain,
( ( sk_ != n2 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13909,zip_derived_cl18]) ).
thf(zip_derived_cl1524_1450,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_1451,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2730,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n2 @ n0 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1524,zip_derived_cl2727]) ).
thf(zip_derived_cl157_1452,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1453,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_1454,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1455,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_1456,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_1457,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13722,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n2 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2730,zip_derived_cl157,zip_derived_cl66,zip_derived_cl156,zip_derived_cl65,zip_derived_cl95,zip_derived_cl157]) ).
thf(zip_derived_cl27_1458,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('232',plain,
( ( sk_ != n2 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13722,zip_derived_cl27]) ).
thf(zip_derived_cl1552_1459,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1460,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8978,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n30 @ n23 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl8947]) ).
thf(zip_derived_cl1048,plain,
( ( sum @ n30 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1461,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1047_1462,plain,
( ( sum @ n30 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1463,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl828,plain,
( ( sum @ n23 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl789,plain,
( ( sum @ n22 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19820,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n30 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8978,zip_derived_cl1048,zip_derived_cl86,zip_derived_cl1047,zip_derived_cl85,zip_derived_cl828,zip_derived_cl789]) ).
thf(zip_derived_cl26_1464,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('233',plain,
( ( sk__1 != n23 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19820,zip_derived_cl26]) ).
thf(zip_derived_cl1551_1465,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1466,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8977,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n29 @ n23 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl8947]) ).
thf(zip_derived_cl1017_1467,plain,
( ( sum @ n29 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1468,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1016,plain,
( ( sum @ n29 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1469,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl827,plain,
( ( sum @ n23 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl757,plain,
( ( sum @ n21 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19818,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n29 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8977,zip_derived_cl1017,zip_derived_cl85,zip_derived_cl1016,zip_derived_cl84,zip_derived_cl827,zip_derived_cl757]) ).
thf(zip_derived_cl28_1470,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('234',plain,
( ( sk__1 != n23 )
| ( sk_ != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19818,zip_derived_cl28]) ).
thf(zip_derived_cl1550_1471,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1472,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8976,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n28 @ n23 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl8947]) ).
thf(zip_derived_cl986_1473,plain,
( ( sum @ n28 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1474,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl985_1475,plain,
( ( sum @ n28 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1476,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl826_1477,plain,
( ( sum @ n23 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725,plain,
( ( sum @ n20 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19816,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n28 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8976,zip_derived_cl986,zip_derived_cl84,zip_derived_cl985,zip_derived_cl83,zip_derived_cl826,zip_derived_cl725]) ).
thf(zip_derived_cl30_1478,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('235',plain,
( ( sk__1 != n23 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19816,zip_derived_cl30]) ).
thf(zip_derived_cl1549_1479,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1480,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8975,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n27 @ n23 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl8947]) ).
thf(zip_derived_cl955_1481,plain,
( ( sum @ n27 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1482,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl954_1483,plain,
( ( sum @ n27 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1484,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl825_1485,plain,
( ( sum @ n23 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl693,plain,
( ( sum @ n19 @ n10 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19814,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n27 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8975,zip_derived_cl955,zip_derived_cl83,zip_derived_cl954,zip_derived_cl82,zip_derived_cl825,zip_derived_cl693]) ).
thf(zip_derived_cl1_1486,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('236',plain,
( ( sk__1 != n23 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19814,zip_derived_cl1]) ).
thf(zip_derived_cl1548_1487,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1488,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8974,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n26 @ n23 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8947]) ).
thf(zip_derived_cl924,plain,
( ( sum @ n26 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1489,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl923,plain,
( ( sum @ n26 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1490,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl824,plain,
( ( sum @ n23 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661,plain,
( ( sum @ n18 @ n9 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19812,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n26 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8974,zip_derived_cl924,zip_derived_cl82,zip_derived_cl923,zip_derived_cl81,zip_derived_cl824,zip_derived_cl661]) ).
thf(zip_derived_cl3_1491,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('237',plain,
( ( sk__1 != n23 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19812,zip_derived_cl3]) ).
thf(zip_derived_cl1547_1492,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1493,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8973,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n25 @ n23 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8947]) ).
thf(zip_derived_cl893_1494,plain,
( ( sum @ n25 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1495,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl892,plain,
( ( sum @ n25 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1496,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl823,plain,
( ( sum @ n23 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19810,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n25 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8973,zip_derived_cl893,zip_derived_cl81,zip_derived_cl892,zip_derived_cl80,zip_derived_cl823,zip_derived_cl629]) ).
thf(zip_derived_cl5_1497,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('238',plain,
( ( sk__1 != n23 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19810,zip_derived_cl5]) ).
thf(zip_derived_cl1546_1498,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1499,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8972,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n24 @ n23 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8947]) ).
thf(zip_derived_cl862_1500,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1501,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl861_1502,plain,
( ( sum @ n24 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1503,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl822,plain,
( ( sum @ n23 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19808,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n24 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8972,zip_derived_cl862,zip_derived_cl80,zip_derived_cl861,zip_derived_cl79,zip_derived_cl822,zip_derived_cl597]) ).
thf(zip_derived_cl7_1504,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('239',plain,
( ( sk__1 != n23 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19808,zip_derived_cl7]) ).
thf(zip_derived_cl1545_1505,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1506,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8971,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n23 @ n23 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8947]) ).
thf(zip_derived_cl831_1507,plain,
( ( sum @ n23 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1508,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl830_1509,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1510,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl821_1511,plain,
( ( sum @ n23 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl565,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19806,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n23 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8971,zip_derived_cl831,zip_derived_cl79,zip_derived_cl830,zip_derived_cl78,zip_derived_cl821,zip_derived_cl565]) ).
thf(zip_derived_cl9_1512,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('240',plain,
( ( sk__1 != n23 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19806,zip_derived_cl9]) ).
thf(zip_derived_cl1544_1513,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1514,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8970,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n22 @ n23 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8947]) ).
thf(zip_derived_cl800,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1515,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl799_1516,plain,
( ( sum @ n22 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1517,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl820_1518,plain,
( ( sum @ n23 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19804,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n22 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8970,zip_derived_cl800,zip_derived_cl78,zip_derived_cl799,zip_derived_cl77,zip_derived_cl820,zip_derived_cl533]) ).
thf(zip_derived_cl11_1519,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('241',plain,
( ( sk__1 != n23 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19804,zip_derived_cl11]) ).
thf(zip_derived_cl1543_1520,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1521,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8969,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n21 @ n23 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8947]) ).
thf(zip_derived_cl769,plain,
( ( sum @ n21 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1522,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1523,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl819_1524,plain,
( ( sum @ n23 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19800,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n21 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8969,zip_derived_cl769,zip_derived_cl77,zip_derived_cl768,zip_derived_cl76,zip_derived_cl819,zip_derived_cl501]) ).
thf(zip_derived_cl13_1525,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('242',plain,
( ( sk__1 != n23 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19800,zip_derived_cl13]) ).
thf(zip_derived_cl1542_1526,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1527,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8968,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n20 @ n23 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8947]) ).
thf(zip_derived_cl738_1528,plain,
( ( sum @ n20 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1529,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737,plain,
( ( sum @ n20 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1530,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl818,plain,
( ( sum @ n23 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469_1531,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19798,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n20 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8968,zip_derived_cl738,zip_derived_cl76,zip_derived_cl737,zip_derived_cl75,zip_derived_cl818,zip_derived_cl469]) ).
thf(zip_derived_cl15_1532,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('243',plain,
( ( sk__1 != n23 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19798,zip_derived_cl15]) ).
thf(zip_derived_cl1541_1533,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1534,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8967,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n19 @ n23 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8947]) ).
thf(zip_derived_cl707,plain,
( ( sum @ n19 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1535,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_1536,plain,
( ( sum @ n19 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1537,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl817,plain,
( ( sum @ n23 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_1538,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19796,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n19 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8967,zip_derived_cl707,zip_derived_cl75,zip_derived_cl706,zip_derived_cl74,zip_derived_cl817,zip_derived_cl437]) ).
thf(zip_derived_cl17_1539,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('244',plain,
( ( sk__1 != n23 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19796,zip_derived_cl17]) ).
thf(zip_derived_cl1540_1540,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1541,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8966,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n18 @ n23 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8947]) ).
thf(zip_derived_cl676,plain,
( ( sum @ n18 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1542,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675,plain,
( ( sum @ n18 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1543,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl816_1544,plain,
( ( sum @ n23 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_1545,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19794,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n18 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8966,zip_derived_cl676,zip_derived_cl74,zip_derived_cl675,zip_derived_cl73,zip_derived_cl816,zip_derived_cl405]) ).
thf(zip_derived_cl19_1546,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('245',plain,
( ( sk_ != n18 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19794,zip_derived_cl19]) ).
thf(zip_derived_cl1539_1547,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1548,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8965,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n17 @ n23 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8947]) ).
thf(zip_derived_cl645,plain,
( ( sum @ n17 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1549,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644,plain,
( ( sum @ n17 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1550,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl815,plain,
( ( sum @ n23 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19792,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n17 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8965,zip_derived_cl645,zip_derived_cl73,zip_derived_cl644,zip_derived_cl72,zip_derived_cl815,zip_derived_cl373]) ).
thf(zip_derived_cl21_1551,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('246',plain,
( ( sk__1 != n23 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19792,zip_derived_cl21]) ).
thf(zip_derived_cl1538_1552,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1553,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8964,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n16 @ n23 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8947]) ).
thf(zip_derived_cl614,plain,
( ( sum @ n16 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1554,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613,plain,
( ( sum @ n16 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1555,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl814,plain,
( ( sum @ n23 @ n7 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372,plain,
( ( sum @ n8 @ n30 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19790,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n16 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8964,zip_derived_cl614,zip_derived_cl72,zip_derived_cl613,zip_derived_cl71,zip_derived_cl814,zip_derived_cl372]) ).
thf(zip_derived_cl23_1556,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('247',plain,
( ( sk__1 != n23 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19790,zip_derived_cl23]) ).
thf(zip_derived_cl1537_1557,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1558,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8963,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n15 @ n23 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8947]) ).
thf(zip_derived_cl583_1559,plain,
( ( sum @ n15 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1560,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582,plain,
( ( sum @ n15 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1561,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl813,plain,
( ( sum @ n23 @ n6 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_1562,plain,
( ( sum @ n7 @ n29 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19788,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n15 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8963,zip_derived_cl583,zip_derived_cl71,zip_derived_cl582,zip_derived_cl70,zip_derived_cl813,zip_derived_cl340]) ).
thf(zip_derived_cl25_1563,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('248',plain,
( ( sk__1 != n23 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19788,zip_derived_cl25]) ).
thf(zip_derived_cl1536_1564,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1565,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8962,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n14 @ n23 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8947]) ).
thf(zip_derived_cl552,plain,
( ( sum @ n14 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1566,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551,plain,
( ( sum @ n14 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1567,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl812,plain,
( ( sum @ n23 @ n5 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_1568,plain,
( ( sum @ n6 @ n28 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19786,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n14 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8962,zip_derived_cl552,zip_derived_cl70,zip_derived_cl551,zip_derived_cl69,zip_derived_cl812,zip_derived_cl308]) ).
thf(zip_derived_cl27_1569,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('249',plain,
( ( sk__1 != n23 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19786,zip_derived_cl27]) ).
thf(zip_derived_cl1535_1570,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1571,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8961,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n13 @ n23 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8947]) ).
thf(zip_derived_cl521_1572,plain,
( ( sum @ n13 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1573,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520_1574,plain,
( ( sum @ n13 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1575,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl811,plain,
( ( sum @ n23 @ n4 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_1576,plain,
( ( sum @ n5 @ n27 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19784,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n13 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8961,zip_derived_cl521,zip_derived_cl69,zip_derived_cl520,zip_derived_cl68,zip_derived_cl811,zip_derived_cl276]) ).
thf(zip_derived_cl29_1577,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('250',plain,
( ( sk__1 != n23 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19784,zip_derived_cl29]) ).
thf(zip_derived_cl1534_1578,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1579,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8960,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n12 @ n23 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8947]) ).
thf(zip_derived_cl490,plain,
( ( sum @ n12 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1580,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489_1581,plain,
( ( sum @ n12 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1582,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl810_1583,plain,
( ( sum @ n23 @ n3 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244,plain,
( ( sum @ n4 @ n26 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19782,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n12 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8960,zip_derived_cl490,zip_derived_cl68,zip_derived_cl489,zip_derived_cl67,zip_derived_cl810,zip_derived_cl244]) ).
thf(zip_derived_cl0_1584,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('251',plain,
( ( sk__1 != n23 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19782,zip_derived_cl0]) ).
thf(zip_derived_cl1533_1585,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1586,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8959,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n11 @ n23 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8947]) ).
thf(zip_derived_cl459,plain,
( ( sum @ n11 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1587,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458,plain,
( ( sum @ n11 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1588,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl809_1589,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212,plain,
( ( sum @ n3 @ n25 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19778,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n11 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8959,zip_derived_cl459,zip_derived_cl67,zip_derived_cl458,zip_derived_cl66,zip_derived_cl809,zip_derived_cl212]) ).
thf(zip_derived_cl2_1590,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('252',plain,
( ( sk_ != n11 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19778,zip_derived_cl2]) ).
thf(zip_derived_cl1532_1591,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1592,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8958,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n10 @ n23 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8947]) ).
thf(zip_derived_cl428,plain,
( ( sum @ n10 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1593,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427,plain,
( ( sum @ n10 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1594,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl808_1595,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_1596,plain,
( ( sum @ n2 @ n24 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19776,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n10 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8958,zip_derived_cl428,zip_derived_cl66,zip_derived_cl427,zip_derived_cl65,zip_derived_cl808,zip_derived_cl180]) ).
thf(zip_derived_cl4_1597,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('253',plain,
( ( sk__1 != n23 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19776,zip_derived_cl4]) ).
thf(zip_derived_cl1531_1598,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1599,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n9 @ n23 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8947]) ).
thf(zip_derived_cl397,plain,
( ( sum @ n9 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1600,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396,plain,
( ( sum @ n9 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1601,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl807,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_1602,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19774,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n9 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8957,zip_derived_cl397,zip_derived_cl65,zip_derived_cl396,zip_derived_cl64,zip_derived_cl807,zip_derived_cl148]) ).
thf(zip_derived_cl6_1603,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('254',plain,
( ( sk__1 != n23 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19774,zip_derived_cl6]) ).
thf(zip_derived_cl1530_1604,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1605,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8956,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n8 @ n23 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8947]) ).
thf(zip_derived_cl366,plain,
( ( sum @ n8 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1606,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365,plain,
( ( sum @ n8 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1607,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl837,plain,
( ( sum @ n23 @ n30 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_1608,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19772,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n8 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8956,zip_derived_cl366,zip_derived_cl64,zip_derived_cl365,zip_derived_cl63,zip_derived_cl837,zip_derived_cl116]) ).
thf(zip_derived_cl8_1609,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('255',plain,
( ( sk__1 != n23 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19772,zip_derived_cl8]) ).
thf(zip_derived_cl1529_1610,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1611,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8955,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n7 @ n23 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8947]) ).
thf(zip_derived_cl335,plain,
( ( sum @ n7 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1612,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334,plain,
( ( sum @ n7 @ n23 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_1613,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl836_1614,plain,
( ( sum @ n23 @ n29 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1045,plain,
( ( sum @ n30 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19770,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n7 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8955,zip_derived_cl335,zip_derived_cl63,zip_derived_cl334,zip_derived_cl93,zip_derived_cl836,zip_derived_cl1045]) ).
thf(zip_derived_cl10_1615,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('256',plain,
( ( sk__1 != n23 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19770,zip_derived_cl10]) ).
thf(zip_derived_cl1528_1616,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1617,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8954,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n6 @ n23 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8947]) ).
thf(zip_derived_cl304,plain,
( ( sum @ n6 @ n24 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_1618,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303,plain,
( ( sum @ n6 @ n23 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_1619,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl835_1620,plain,
( ( sum @ n23 @ n28 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1013,plain,
( ( sum @ n29 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19768,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n6 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8954,zip_derived_cl304,zip_derived_cl93,zip_derived_cl303,zip_derived_cl92,zip_derived_cl835,zip_derived_cl1013]) ).
thf(zip_derived_cl12_1621,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('257',plain,
( ( sk__1 != n23 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19768,zip_derived_cl12]) ).
thf(zip_derived_cl1526_1622,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1623,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8952,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n4 @ n23 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8947]) ).
thf(zip_derived_cl242,plain,
( ( sum @ n4 @ n24 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1624,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241,plain,
( ( sum @ n4 @ n23 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1625,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl833,plain,
( ( sum @ n23 @ n26 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl949_1626,plain,
( ( sum @ n27 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19764,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n4 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8952,zip_derived_cl242,zip_derived_cl91,zip_derived_cl241,zip_derived_cl90,zip_derived_cl833,zip_derived_cl949]) ).
thf(zip_derived_cl16_1627,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('258',plain,
( ( sk__1 != n23 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19764,zip_derived_cl16]) ).
thf(zip_derived_cl1525_1628,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8947_1629,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2474,zip_derived_cl55]) ).
thf(zip_derived_cl8951,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ n3 @ n23 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8947]) ).
thf(zip_derived_cl211,plain,
( ( sum @ n3 @ n24 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1630,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210,plain,
( ( sum @ n3 @ n23 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1631,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl917,plain,
( ( sum @ n26 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19762,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n3 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8951,zip_derived_cl211,zip_derived_cl90,zip_derived_cl210,zip_derived_cl89,zip_derived_cl832,zip_derived_cl917]) ).
thf(zip_derived_cl18_1632,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('259',plain,
( ( sk__1 != n23 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19762,zip_derived_cl18]) ).
thf(zip_derived_cl1528_1633,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_1634,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9434,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n6 @ n30 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl9427]) ).
thf(zip_derived_cl280_1635,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1636,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310,plain,
( ( sum @ n6 @ n30 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1637,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1028,plain,
( ( sum @ n30 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_1638,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20722,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n6 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9434,zip_derived_cl280,zip_derived_cl69,zip_derived_cl310,zip_derived_cl68,zip_derived_cl1028,zip_derived_cl252]) ).
thf(zip_derived_cl22_1639,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('260',plain,
( ( sk_ != n6 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20722,zip_derived_cl22]) ).
thf(zip_derived_cl1528_1640,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_1641,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9369,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n6 @ n29 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl9362]) ).
thf(zip_derived_cl310_1642,plain,
( ( sum @ n6 @ n30 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1643,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309_1644,plain,
( ( sum @ n6 @ n29 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1645,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl996_1646,plain,
( ( sum @ n29 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_1647,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20586,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n6 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9369,zip_derived_cl310,zip_derived_cl68,zip_derived_cl309,zip_derived_cl67,zip_derived_cl996,zip_derived_cl219]) ).
thf(zip_derived_cl25_1648,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('261',plain,
( ( sk_ != n6 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20586,zip_derived_cl25]) ).
thf(zip_derived_cl1528_1649,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_1650,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9149,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n6 @ n26 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl9142]) ).
thf(zip_derived_cl307_1651,plain,
( ( sum @ n6 @ n27 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1652,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306,plain,
( ( sum @ n6 @ n26 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1653,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl900,plain,
( ( sum @ n26 @ n0 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_1654,plain,
( ( sum @ n1 @ n26 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20178,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n6 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9149,zip_derived_cl307,zip_derived_cl65,zip_derived_cl306,zip_derived_cl64,zip_derived_cl900,zip_derived_cl151]) ).
thf(zip_derived_cl3_1655,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('262',plain,
( ( sk_ != n6 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20178,zip_derived_cl3]) ).
thf(zip_derived_cl1528_1656,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_1657,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9084,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n6 @ n25 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl9077]) ).
thf(zip_derived_cl306_1658,plain,
( ( sum @ n6 @ n26 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1659,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305,plain,
( ( sum @ n6 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1660,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl899,plain,
( ( sum @ n25 @ n30 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_1661,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20040,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n6 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9084,zip_derived_cl306,zip_derived_cl64,zip_derived_cl305,zip_derived_cl63,zip_derived_cl899,zip_derived_cl118]) ).
thf(zip_derived_cl6_1662,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('263',plain,
( ( sk_ != n6 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20040,zip_derived_cl6]) ).
thf(zip_derived_cl1528_1663,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_1664,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9019,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n6 @ n24 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl9012]) ).
thf(zip_derived_cl305_1665,plain,
( ( sum @ n6 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1666,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_1667,plain,
( ( sum @ n6 @ n24 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_1668,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl867_1669,plain,
( ( sum @ n24 @ n29 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1046,plain,
( ( sum @ n30 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19904,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n6 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9019,zip_derived_cl305,zip_derived_cl63,zip_derived_cl304,zip_derived_cl93,zip_derived_cl867,zip_derived_cl1046]) ).
thf(zip_derived_cl9_1670,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('264',plain,
( ( sk_ != n6 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19904,zip_derived_cl9]) ).
thf(zip_derived_cl1528_1671,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_1672,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8889,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n6 @ n22 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8882]) ).
thf(zip_derived_cl303_1673,plain,
( ( sum @ n6 @ n23 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_1674,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302,plain,
( ( sum @ n6 @ n22 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1675,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl803_1676,plain,
( ( sum @ n22 @ n27 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl980_1677,plain,
( ( sum @ n28 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19632,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n6 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8889,zip_derived_cl303,zip_derived_cl92,zip_derived_cl302,zip_derived_cl91,zip_derived_cl803,zip_derived_cl980]) ).
thf(zip_derived_cl15_1678,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('265',plain,
( ( sk_ != n6 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19632,zip_derived_cl15]) ).
thf(zip_derived_cl1528_1679,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_1680,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8821,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n6 @ n21 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8814]) ).
thf(zip_derived_cl302_1681,plain,
( ( sum @ n6 @ n22 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1682,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301,plain,
( ( sum @ n6 @ n21 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1683,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl771,plain,
( ( sum @ n21 @ n26 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl947_1684,plain,
( ( sum @ n27 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19496,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n6 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8821,zip_derived_cl302,zip_derived_cl91,zip_derived_cl301,zip_derived_cl90,zip_derived_cl771,zip_derived_cl947]) ).
thf(zip_derived_cl18_1685,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('266',plain,
( ( sk_ != n6 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19496,zip_derived_cl18]) ).
thf(zip_derived_cl1528_1686,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_1687,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8745,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n6 @ n20 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8738]) ).
thf(zip_derived_cl301_1688,plain,
( ( sum @ n6 @ n21 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1689,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300,plain,
( ( sum @ n6 @ n20 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1690,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl739,plain,
( ( sum @ n20 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl914,plain,
( ( sum @ n26 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19358,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n6 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8745,zip_derived_cl301,zip_derived_cl90,zip_derived_cl300,zip_derived_cl89,zip_derived_cl739,zip_derived_cl914]) ).
thf(zip_derived_cl21_1691,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('267',plain,
( ( sk_ != n6 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19358,zip_derived_cl21]) ).
thf(zip_derived_cl1528_1692,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_1693,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8680,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n6 @ n19 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8673]) ).
thf(zip_derived_cl300_1694,plain,
( ( sum @ n6 @ n20 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1695,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1696,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl707_1697,plain,
( ( sum @ n19 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl881,plain,
( ( sum @ n25 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19222,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n6 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8680,zip_derived_cl300,zip_derived_cl89,zip_derived_cl299,zip_derived_cl88,zip_derived_cl707,zip_derived_cl881]) ).
thf(zip_derived_cl24_1698,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('268',plain,
( ( sk_ != n6 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19222,zip_derived_cl24]) ).
thf(zip_derived_cl1528_1699,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_1700,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8605,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n6 @ n18 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8598]) ).
thf(zip_derived_cl299_1701,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1702,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_1703,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675_1704,plain,
( ( sum @ n18 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl848,plain,
( ( sum @ n24 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19086,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n6 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8605,zip_derived_cl299,zip_derived_cl88,zip_derived_cl298,zip_derived_cl87,zip_derived_cl675,zip_derived_cl848]) ).
thf(zip_derived_cl27_1705,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('269',plain,
( ( sk_ != n6 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19086,zip_derived_cl27]) ).
thf(zip_derived_cl1528_1706,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_1707,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8536,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n6 @ n17 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8529]) ).
thf(zip_derived_cl298_1708,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_1709,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1710,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643,plain,
( ( sum @ n17 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl815_1711,plain,
( ( sum @ n23 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18950,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n6 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8536,zip_derived_cl298,zip_derived_cl87,zip_derived_cl297,zip_derived_cl86,zip_derived_cl643,zip_derived_cl815]) ).
thf(zip_derived_cl30_1712,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('270',plain,
( ( sk_ != n6 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18950,zip_derived_cl30]) ).
thf(zip_derived_cl1528_1713,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_1714,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8468,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n6 @ n16 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8461]) ).
thf(zip_derived_cl297_1715,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1716,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1717,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611,plain,
( ( sum @ n16 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl782,plain,
( ( sum @ n22 @ n6 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18814,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n6 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8468,zip_derived_cl297,zip_derived_cl86,zip_derived_cl296,zip_derived_cl85,zip_derived_cl611,zip_derived_cl782]) ).
thf(zip_derived_cl2_1718,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('271',plain,
( ( sk_ != n6 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18814,zip_derived_cl2]) ).
thf(zip_derived_cl1528_1719,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_1720,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8403,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n6 @ n15 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8396]) ).
thf(zip_derived_cl296_1721,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1722,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1723,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579,plain,
( ( sum @ n15 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl749,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18676,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n6 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8403,zip_derived_cl296,zip_derived_cl85,zip_derived_cl295,zip_derived_cl84,zip_derived_cl579,zip_derived_cl749]) ).
thf(zip_derived_cl5_1724,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('272',plain,
( ( sk_ != n6 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18676,zip_derived_cl5]) ).
thf(zip_derived_cl1528_1725,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_1726,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8324,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n6 @ n14 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8317]) ).
thf(zip_derived_cl295_1727,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1728,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1729,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547,plain,
( ( sum @ n14 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716_1730,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18540,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n6 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8324,zip_derived_cl295,zip_derived_cl84,zip_derived_cl294,zip_derived_cl83,zip_derived_cl547,zip_derived_cl716]) ).
thf(zip_derived_cl8_1731,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('273',plain,
( ( sk_ != n6 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18540,zip_derived_cl8]) ).
thf(zip_derived_cl1528_1732,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_1733,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8259,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n6 @ n13 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8252]) ).
thf(zip_derived_cl294_1734,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1735,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1736,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515,plain,
( ( sum @ n13 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl683,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18404,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n6 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8259,zip_derived_cl294,zip_derived_cl83,zip_derived_cl293,zip_derived_cl82,zip_derived_cl515,zip_derived_cl683]) ).
thf(zip_derived_cl11_1737,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('274',plain,
( ( sk_ != n6 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18404,zip_derived_cl11]) ).
thf(zip_derived_cl1528_1738,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_1739,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8189,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n6 @ n12 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl8182]) ).
thf(zip_derived_cl293_1740,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1741,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1742,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483,plain,
( ( sum @ n12 @ n17 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl681_1743,plain,
( ( sum @ n18 @ n29 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18268,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n6 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8189,zip_derived_cl293,zip_derived_cl82,zip_derived_cl292,zip_derived_cl81,zip_derived_cl483,zip_derived_cl681]) ).
thf(zip_derived_cl14_1744,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('275',plain,
( ( sk_ != n6 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18268,zip_derived_cl14]) ).
thf(zip_derived_cl1528_1745,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_1746,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5428,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n6 @ n11 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl5421]) ).
thf(zip_derived_cl292_1747,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1748,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_1749,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1750,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_1751,plain,
( ( sum @ n11 @ n16 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_1752,plain,
( ( sum @ n17 @ n27 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16056,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n6 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5428,zip_derived_cl292,zip_derived_cl81,zip_derived_cl291,zip_derived_cl80,zip_derived_cl451,zip_derived_cl648]) ).
thf(zip_derived_cl17_1753,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('276',plain,
( ( sk_ != n6 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16056,zip_derived_cl17]) ).
thf(zip_derived_cl1528_1754,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_1755,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4987,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n6 @ n10 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl4980]) ).
thf(zip_derived_cl291_1756,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1757,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_1758,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1759,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615,plain,
( ( sum @ n16 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15484,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n6 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4987,zip_derived_cl291,zip_derived_cl80,zip_derived_cl290,zip_derived_cl79,zip_derived_cl419,zip_derived_cl615]) ).
thf(zip_derived_cl20_1760,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('277',plain,
( ( sk_ != n6 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15484,zip_derived_cl20]) ).
thf(zip_derived_cl1528_1761,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_1762,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4544,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n6 @ n9 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl4537]) ).
thf(zip_derived_cl290_1763,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1764,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_1765,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1766,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582_1767,plain,
( ( sum @ n15 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15009,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n6 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4544,zip_derived_cl290,zip_derived_cl79,zip_derived_cl289,zip_derived_cl78,zip_derived_cl387,zip_derived_cl582]) ).
thf(zip_derived_cl23_1768,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('278',plain,
( ( sk_ != n6 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15009,zip_derived_cl23]) ).
thf(zip_derived_cl1528_1769,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_1770,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4094,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n6 @ n8 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl4087]) ).
thf(zip_derived_cl289_1771,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1772,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1773,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_1774,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549,plain,
( ( sum @ n14 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14615,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n6 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4094,zip_derived_cl289,zip_derived_cl78,zip_derived_cl288,zip_derived_cl77,zip_derived_cl355,zip_derived_cl549]) ).
thf(zip_derived_cl26_1775,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('279',plain,
( ( sk_ != n6 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14615,zip_derived_cl26]) ).
thf(zip_derived_cl1528_1776,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_1777,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3673,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n6 @ n7 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl3666]) ).
thf(zip_derived_cl288_1778,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1779,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_1780,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1781,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_1782,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516,plain,
( ( sum @ n13 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14299,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n6 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3673,zip_derived_cl288,zip_derived_cl77,zip_derived_cl287,zip_derived_cl76,zip_derived_cl323,zip_derived_cl516]) ).
thf(zip_derived_cl29_1783,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('280',plain,
( ( sk_ != n6 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14299,zip_derived_cl29]) ).
thf(zip_derived_cl1528_1784,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_1785,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3410,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n6 @ n6 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl3394]) ).
thf(zip_derived_cl287_1786,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1787,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_1788,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1789,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_1790,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483_1791,plain,
( ( sum @ n12 @ n17 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14188,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n6 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3410,zip_derived_cl287,zip_derived_cl76,zip_derived_cl286,zip_derived_cl75,zip_derived_cl291,zip_derived_cl483]) ).
thf(zip_derived_cl1_1792,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('281',plain,
( ( sk_ != n6 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14188,zip_derived_cl1]) ).
thf(zip_derived_cl1528_1793,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_1794,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3114,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n6 @ n5 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl3103]) ).
thf(zip_derived_cl286_1795,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1796,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_1797,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1798,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_1799,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_1800,plain,
( ( sum @ n11 @ n15 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14088,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n6 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3114,zip_derived_cl286,zip_derived_cl75,zip_derived_cl285,zip_derived_cl74,zip_derived_cl259,zip_derived_cl450]) ).
thf(zip_derived_cl4_1801,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('282',plain,
( ( sk_ != n6 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14088,zip_derived_cl4]) ).
thf(zip_derived_cl1528_1802,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1803,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3019,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n6 @ n4 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl3009]) ).
thf(zip_derived_cl285_1804,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1805,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1806,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14002,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3019,zip_derived_cl285,zip_derived_cl74,zip_derived_cl284,zip_derived_cl73,zip_derived_cl227,zip_derived_cl417]) ).
thf(zip_derived_cl7_1807,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('283',plain,
( ( sk_ != n6 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14002,zip_derived_cl7]) ).
thf(zip_derived_cl1528_1808,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_1809,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2941,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n6 @ n3 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl2932]) ).
thf(zip_derived_cl284_1810,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1811,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_1812,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1813,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13917,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2941,zip_derived_cl284,zip_derived_cl73,zip_derived_cl283,zip_derived_cl72,zip_derived_cl195,zip_derived_cl384]) ).
thf(zip_derived_cl10_1814,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('284',plain,
( ( sk_ != n6 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13917,zip_derived_cl10]) ).
thf(zip_derived_cl1528_1815,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_1816,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2734,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n6 @ n0 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1528,zip_derived_cl2727]) ).
thf(zip_derived_cl281_1817,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1818,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_1819,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1820,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_1821,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_1822,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13730,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2734,zip_derived_cl281,zip_derived_cl70,zip_derived_cl280,zip_derived_cl69,zip_derived_cl99,zip_derived_cl285]) ).
thf(zip_derived_cl19_1823,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('285',plain,
( ( sk_ != n6 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13730,zip_derived_cl19]) ).
thf(zip_derived_cl1029,plain,
( ( sum @ n30 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_1824,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1825,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3043,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n30 @ n4 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl3009]) ).
thf(zip_derived_cl16617,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n4 @ ( pred @ ( sum @ n30 @ n4 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1029,zip_derived_cl3043]) ).
thf(zip_derived_cl67_1826,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1028_1827,plain,
( ( sum @ n30 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1828,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_1829,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16622,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n30 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16617,zip_derived_cl67,zip_derived_cl1028,zip_derived_cl66,zip_derived_cl220,zip_derived_cl193]) ).
thf(zip_derived_cl21_1830,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('286',plain,
( ( sk__1 != n4 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16622,zip_derived_cl21]) ).
thf(zip_derived_cl905_1831,plain,
( ( sum @ n26 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_1832,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1833,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3039,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n26 @ n4 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl3009]) ).
thf(zip_derived_cl15688,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n4 @ ( pred @ ( sum @ n26 @ n4 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl3039]) ).
thf(zip_derived_cl63_1834,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl904,plain,
( ( sum @ n26 @ n4 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_1835,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_1836,plain,
( ( sum @ n4 @ n29 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15690,plain,
( ( sk__2
= ( sum @ n30 @ n2 ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15688,zip_derived_cl63,zip_derived_cl904,zip_derived_cl93,zip_derived_cl247]) ).
thf(zip_derived_cl1026_1837,plain,
( ( sum @ n30 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16585,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n26 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15690,zip_derived_cl1026]) ).
thf(zip_derived_cl29_1838,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('287',plain,
( ( sk__1 != n4 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16585,zip_derived_cl29]) ).
thf(zip_derived_cl998,plain,
( ( sum @ n29 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_1839,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1840,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3042,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n29 @ n4 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl3009]) ).
thf(zip_derived_cl16371,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n4 @ ( pred @ ( sum @ n29 @ n4 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl998,zip_derived_cl3042]) ).
thf(zip_derived_cl66_1841,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl997,plain,
( ( sum @ n29 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1842,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_1843,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_1844,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16376,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n29 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16371,zip_derived_cl66,zip_derived_cl997,zip_derived_cl65,zip_derived_cl219,zip_derived_cl161]) ).
thf(zip_derived_cl23_1845,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('288',plain,
( ( sk__1 != n4 )
| ( sk_ != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16376,zip_derived_cl23]) ).
thf(zip_derived_cl874,plain,
( ( sum @ n25 @ n5 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_1846,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1847,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3038,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n25 @ n4 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl3009]) ).
thf(zip_derived_cl15504,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n4 @ ( pred @ ( sum @ n25 @ n4 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl874,zip_derived_cl3038]) ).
thf(zip_derived_cl93_1848,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl873,plain,
( ( sum @ n25 @ n4 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_1849,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_1850,plain,
( ( sum @ n4 @ n28 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15506,plain,
( ( sk__2
= ( sum @ n29 @ n1 ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15504,zip_derived_cl93,zip_derived_cl873,zip_derived_cl92,zip_derived_cl246]) ).
thf(zip_derived_cl994_1851,plain,
( ( sum @ n29 @ n1 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16334,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n25 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15506,zip_derived_cl994]) ).
thf(zip_derived_cl0_1852,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('289',plain,
( ( sk__1 != n4 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16334,zip_derived_cl0]) ).
thf(zip_derived_cl967_1853,plain,
( ( sum @ n28 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_1854,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1855,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3041,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n28 @ n4 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl3009]) ).
thf(zip_derived_cl16139,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n4 @ ( pred @ ( sum @ n28 @ n4 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl967,zip_derived_cl3041]) ).
thf(zip_derived_cl65_1856,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl966_1857,plain,
( ( sum @ n28 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1858,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1859,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_1860,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16144,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n28 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16139,zip_derived_cl65,zip_derived_cl966,zip_derived_cl64,zip_derived_cl218,zip_derived_cl129]) ).
thf(zip_derived_cl25_1861,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('290',plain,
( ( sk__1 != n4 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16144,zip_derived_cl25]) ).
thf(zip_derived_cl843,plain,
( ( sum @ n24 @ n5 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_1862,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1863,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3037,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n24 @ n4 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl3009]) ).
thf(zip_derived_cl15283,plain,
( ( sk__2
= ( sum @ ( pred @ n29 ) @ ( sum @ n4 @ ( pred @ ( sum @ n24 @ n4 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl843,zip_derived_cl3037]) ).
thf(zip_derived_cl92_1864,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl842,plain,
( ( sum @ n24 @ n4 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_1865,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_1866,plain,
( ( sum @ n4 @ n27 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15286,plain,
( ( sk__2
= ( sum @ n28 @ n0 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15283,zip_derived_cl92,zip_derived_cl842,zip_derived_cl91,zip_derived_cl245]) ).
thf(zip_derived_cl962_1867,plain,
( ( sum @ n28 @ n0 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16096,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n24 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15286,zip_derived_cl962]) ).
thf(zip_derived_cl2_1868,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('291',plain,
( ( sk__1 != n4 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16096,zip_derived_cl2]) ).
thf(zip_derived_cl812_1869,plain,
( ( sum @ n23 @ n5 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_1870,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1871,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3036,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n23 @ n4 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl3009]) ).
thf(zip_derived_cl15097,plain,
( ( sk__2
= ( sum @ ( pred @ n28 ) @ ( sum @ n4 @ ( pred @ ( sum @ n23 @ n4 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl812,zip_derived_cl3036]) ).
thf(zip_derived_cl91_1872,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl811_1873,plain,
( ( sum @ n23 @ n4 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_1874,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_1875,plain,
( ( sum @ n4 @ n26 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15100,plain,
( ( sk__2
= ( sum @ n27 @ n30 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15097,zip_derived_cl91,zip_derived_cl811,zip_derived_cl90,zip_derived_cl244]) ).
thf(zip_derived_cl961_1876,plain,
( ( sum @ n27 @ n30 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16093,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n23 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15100,zip_derived_cl961]) ).
thf(zip_derived_cl4_1877,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('292',plain,
( ( sk__1 != n4 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16093,zip_derived_cl4]) ).
thf(zip_derived_cl936_1878,plain,
( ( sum @ n27 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_1879,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1880,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3040,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n27 @ n4 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl3009]) ).
thf(zip_derived_cl15911,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n4 @ ( pred @ ( sum @ n27 @ n4 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl936,zip_derived_cl3040]) ).
thf(zip_derived_cl64_1881,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl935_1882,plain,
( ( sum @ n27 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1883,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_1884,plain,
( ( sum @ n4 @ n30 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_1885,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15916,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n27 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15911,zip_derived_cl64,zip_derived_cl935,zip_derived_cl63,zip_derived_cl248,zip_derived_cl97]) ).
thf(zip_derived_cl27_1886,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('293',plain,
( ( sk__1 != n4 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15916,zip_derived_cl27]) ).
thf(zip_derived_cl781,plain,
( ( sum @ n22 @ n5 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_1887,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1888,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3035,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n22 @ n4 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl3009]) ).
thf(zip_derived_cl14936,plain,
( ( sk__2
= ( sum @ ( pred @ n27 ) @ ( sum @ n4 @ ( pred @ ( sum @ n22 @ n4 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl781,zip_derived_cl3035]) ).
thf(zip_derived_cl90_1889,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl780,plain,
( ( sum @ n22 @ n4 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_1890,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243,plain,
( ( sum @ n4 @ n25 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14939,plain,
( ( sk__2
= ( sum @ n26 @ n29 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14936,zip_derived_cl90,zip_derived_cl780,zip_derived_cl89,zip_derived_cl243]) ).
thf(zip_derived_cl929_1891,plain,
( ( sum @ n26 @ n29 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15844,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n22 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14939,zip_derived_cl929]) ).
thf(zip_derived_cl6_1892,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('294',plain,
( ( sk__1 != n4 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15844,zip_derived_cl6]) ).
thf(zip_derived_cl750_1893,plain,
( ( sum @ n21 @ n5 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_1894,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1895,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3034,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n21 @ n4 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl3009]) ).
thf(zip_derived_cl14742,plain,
( ( sk__2
= ( sum @ ( pred @ n26 ) @ ( sum @ n4 @ ( pred @ ( sum @ n21 @ n4 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl750,zip_derived_cl3034]) ).
thf(zip_derived_cl89_1896,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl749_1897,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_1898,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_1899,plain,
( ( sum @ n4 @ n24 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14744,plain,
( ( sk__2
= ( sum @ n25 @ n28 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14742,zip_derived_cl89,zip_derived_cl749,zip_derived_cl88,zip_derived_cl242]) ).
thf(zip_derived_cl897_1900,plain,
( ( sum @ n25 @ n28 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15626,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n21 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14744,zip_derived_cl897]) ).
thf(zip_derived_cl8_1901,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('295',plain,
( ( sk__1 != n4 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15626,zip_derived_cl8]) ).
thf(zip_derived_cl719,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_1902,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1903,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3033,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n20 @ n4 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl3009]) ).
thf(zip_derived_cl14605,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n4 @ ( pred @ ( sum @ n20 @ n4 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl3033]) ).
thf(zip_derived_cl88_1904,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_1905,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_1906,plain,
( ( sum @ n4 @ n23 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14607,plain,
( ( sk__2
= ( sum @ n24 @ n27 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14605,zip_derived_cl88,zip_derived_cl718,zip_derived_cl87,zip_derived_cl241]) ).
thf(zip_derived_cl865_1907,plain,
( ( sum @ n24 @ n27 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15432,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14607,zip_derived_cl865]) ).
thf(zip_derived_cl10_1908,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('296',plain,
( ( sk__1 != n4 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15432,zip_derived_cl10]) ).
thf(zip_derived_cl688_1909,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_1910,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1911,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3032,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n19 @ n4 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl3009]) ).
thf(zip_derived_cl14406,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n4 @ ( pred @ ( sum @ n19 @ n4 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl688,zip_derived_cl3032]) ).
thf(zip_derived_cl87_1912,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl687_1913,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_1914,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240,plain,
( ( sum @ n4 @ n22 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14408,plain,
( ( sk__2
= ( sum @ n23 @ n26 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14406,zip_derived_cl87,zip_derived_cl687,zip_derived_cl86,zip_derived_cl240]) ).
thf(zip_derived_cl833_1915,plain,
( ( sum @ n23 @ n26 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15203,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14408,zip_derived_cl833]) ).
thf(zip_derived_cl12_1916,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('297',plain,
( ( sk__1 != n4 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15203,zip_derived_cl12]) ).
thf(zip_derived_cl657,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_1917,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1918,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3031,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n18 @ n4 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl3009]) ).
thf(zip_derived_cl14281,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n4 @ ( pred @ ( sum @ n18 @ n4 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl657,zip_derived_cl3031]) ).
thf(zip_derived_cl86_1919,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656_1920,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_1921,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14283,plain,
( ( sk__2
= ( sum @ n22 @ n25 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14281,zip_derived_cl86,zip_derived_cl656,zip_derived_cl85,zip_derived_cl239]) ).
thf(zip_derived_cl801,plain,
( ( sum @ n22 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15043,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14283,zip_derived_cl801]) ).
thf(zip_derived_cl14_1922,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('298',plain,
( ( sk_ != n18 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15043,zip_derived_cl14]) ).
thf(zip_derived_cl626,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_1923,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1924,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3030,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n17 @ n4 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl3009]) ).
thf(zip_derived_cl14167,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n4 @ ( pred @ ( sum @ n17 @ n4 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl626,zip_derived_cl3030]) ).
thf(zip_derived_cl85_1925,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl625,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_1926,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14170,plain,
( ( sk__2
= ( sum @ n21 @ n24 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14167,zip_derived_cl85,zip_derived_cl625,zip_derived_cl84,zip_derived_cl238]) ).
thf(zip_derived_cl769_1927,plain,
( ( sum @ n21 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14848,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14170,zip_derived_cl769]) ).
thf(zip_derived_cl16_1928,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('299',plain,
( ( sk__1 != n4 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14848,zip_derived_cl16]) ).
thf(zip_derived_cl595,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_1929,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1930,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3029,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n16 @ n4 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl3009]) ).
thf(zip_derived_cl14064,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n4 @ ( pred @ ( sum @ n16 @ n4 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl3029]) ).
thf(zip_derived_cl84_1931,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1932,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14065,plain,
( ( sk__2
= ( sum @ n20 @ n23 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14064,zip_derived_cl84,zip_derived_cl594,zip_derived_cl83,zip_derived_cl237]) ).
thf(zip_derived_cl737_1933,plain,
( ( sum @ n20 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14677,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14065,zip_derived_cl737]) ).
thf(zip_derived_cl18_1934,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('300',plain,
( ( sk__1 != n4 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14677,zip_derived_cl18]) ).
thf(zip_derived_cl1537_1935,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1936,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3028,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n15 @ n4 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl3009]) ).
thf(zip_derived_cl564,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1937,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1938,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14017,plain,
( ( sk__2
= ( sum @ n19 @ n22 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3028,zip_derived_cl564,zip_derived_cl83,zip_derived_cl563,zip_derived_cl82,zip_derived_cl236]) ).
thf(zip_derived_cl705,plain,
( ( sum @ n19 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14513,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14017,zip_derived_cl705]) ).
thf(zip_derived_cl20_1939,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('301',plain,
( ( sk__1 != n4 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14513,zip_derived_cl20]) ).
thf(zip_derived_cl1536_1940,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1941,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3027,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n14 @ n4 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl3009]) ).
thf(zip_derived_cl533_1942,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_1943,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1944,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14016,plain,
( ( sk__2
= ( sum @ n18 @ n21 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3027,zip_derived_cl533,zip_derived_cl82,zip_derived_cl532,zip_derived_cl81,zip_derived_cl235]) ).
thf(zip_derived_cl673,plain,
( ( sum @ n18 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14342,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14016,zip_derived_cl673]) ).
thf(zip_derived_cl22_1945,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('302',plain,
( ( sk__1 != n4 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14342,zip_derived_cl22]) ).
thf(zip_derived_cl1535_1946,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1947,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3026,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n13 @ n4 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl3009]) ).
thf(zip_derived_cl502,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_1948,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501_1949,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1950,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14015,plain,
( ( sk__2
= ( sum @ n17 @ n20 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3026,zip_derived_cl502,zip_derived_cl81,zip_derived_cl501,zip_derived_cl80,zip_derived_cl234]) ).
thf(zip_derived_cl641,plain,
( ( sum @ n17 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14215,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14015,zip_derived_cl641]) ).
thf(zip_derived_cl24_1951,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('303',plain,
( ( sk__1 != n4 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14215,zip_derived_cl24]) ).
thf(zip_derived_cl1534_1952,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1953,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3025,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n12 @ n4 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl3009]) ).
thf(zip_derived_cl471,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_1954,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1955,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14014,plain,
( ( sk__2
= ( sum @ n16 @ n19 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3025,zip_derived_cl471,zip_derived_cl80,zip_derived_cl470,zip_derived_cl79,zip_derived_cl233]) ).
thf(zip_derived_cl609,plain,
( ( sum @ n16 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14110,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14014,zip_derived_cl609]) ).
thf(zip_derived_cl26_1956,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('304',plain,
( ( sk__1 != n4 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14110,zip_derived_cl26]) ).
thf(zip_derived_cl1533_1957,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1958,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3024,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n11 @ n4 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl3009]) ).
thf(zip_derived_cl440,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1959,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1960,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577,plain,
( ( sum @ n15 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14012,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3024,zip_derived_cl440,zip_derived_cl79,zip_derived_cl439,zip_derived_cl78,zip_derived_cl232,zip_derived_cl577]) ).
thf(zip_derived_cl28_1961,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('305',plain,
( ( sk_ != n11 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14012,zip_derived_cl28]) ).
thf(zip_derived_cl1532_1962,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1963,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3023,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n10 @ n4 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl3009]) ).
thf(zip_derived_cl409_1964,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1965,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1966,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545,plain,
( ( sum @ n14 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14010,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3023,zip_derived_cl409,zip_derived_cl78,zip_derived_cl408,zip_derived_cl77,zip_derived_cl231,zip_derived_cl545]) ).
thf(zip_derived_cl30_1967,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('306',plain,
( ( sk__1 != n4 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14010,zip_derived_cl30]) ).
thf(zip_derived_cl1531_1968,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1969,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3022,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n9 @ n4 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl3009]) ).
thf(zip_derived_cl378_1970,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1971,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377_1972,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1973,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513,plain,
( ( sum @ n13 @ n16 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14008,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3022,zip_derived_cl378,zip_derived_cl77,zip_derived_cl377,zip_derived_cl76,zip_derived_cl230,zip_derived_cl513]) ).
thf(zip_derived_cl1_1974,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('307',plain,
( ( sk__1 != n4 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14008,zip_derived_cl1]) ).
thf(zip_derived_cl1530_1975,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1976,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3021,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n8 @ n4 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl3009]) ).
thf(zip_derived_cl347,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1977,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346_1978,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1979,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481,plain,
( ( sum @ n12 @ n15 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14006,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3021,zip_derived_cl347,zip_derived_cl76,zip_derived_cl346,zip_derived_cl75,zip_derived_cl229,zip_derived_cl481]) ).
thf(zip_derived_cl3_1980,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('308',plain,
( ( sk__1 != n4 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14006,zip_derived_cl3]) ).
thf(zip_derived_cl1529_1981,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1982,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3020,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n7 @ n4 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl3009]) ).
thf(zip_derived_cl316,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1983,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1984,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14004,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3020,zip_derived_cl316,zip_derived_cl75,zip_derived_cl315,zip_derived_cl74,zip_derived_cl228,zip_derived_cl449]) ).
thf(zip_derived_cl5_1985,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('309',plain,
( ( sk__1 != n4 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14004,zip_derived_cl5]) ).
thf(zip_derived_cl1526_1986,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1987,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3017,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n4 @ n4 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl3009]) ).
thf(zip_derived_cl223_1988,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1989,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1990,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1991,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_1992,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13998,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n4 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3017,zip_derived_cl223,zip_derived_cl72,zip_derived_cl222,zip_derived_cl71,zip_derived_cl225,zip_derived_cl353]) ).
thf(zip_derived_cl11_1993,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('310',plain,
( ( sk__1 != n4 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13998,zip_derived_cl11]) ).
thf(zip_derived_cl1525_1994,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3009_1995,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl36]) ).
thf(zip_derived_cl3016,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ n3 @ n4 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl3009]) ).
thf(zip_derived_cl192_1996,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1997,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1998,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1999,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_2000,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13996,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n3 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3016,zip_derived_cl192,zip_derived_cl71,zip_derived_cl191,zip_derived_cl70,zip_derived_cl224,zip_derived_cl321]) ).
thf(zip_derived_cl13_2001,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('311',plain,
( ( sk__1 != n4 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13996,zip_derived_cl13]) ).
thf(zip_derived_cl1526_2002,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_2003,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9432,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n4 @ n30 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl9427]) ).
thf(zip_derived_cl218_2004,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2005,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_2006,plain,
( ( sum @ n4 @ n30 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2007,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1026_2008,plain,
( ( sum @ n30 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_2009,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20718,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n4 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9432,zip_derived_cl218,zip_derived_cl67,zip_derived_cl248,zip_derived_cl66,zip_derived_cl1026,zip_derived_cl188]) ).
thf(zip_derived_cl26_2010,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('312',plain,
( ( sk_ != n4 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20718,zip_derived_cl26]) ).
thf(zip_derived_cl1526_2011,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_2012,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9367,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n4 @ n29 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl9362]) ).
thf(zip_derived_cl248_2013,plain,
( ( sum @ n4 @ n30 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2014,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_2015,plain,
( ( sum @ n4 @ n29 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2016,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl994_2017,plain,
( ( sum @ n29 @ n1 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_2018,plain,
( ( sum @ n2 @ n30 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20582,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n4 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9367,zip_derived_cl248,zip_derived_cl66,zip_derived_cl247,zip_derived_cl65,zip_derived_cl994,zip_derived_cl186]) ).
thf(zip_derived_cl29_2019,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('313',plain,
( ( sk_ != n4 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20582,zip_derived_cl29]) ).
thf(zip_derived_cl1526_2020,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_2021,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9147,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n4 @ n26 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl9142]) ).
thf(zip_derived_cl245_2022,plain,
( ( sum @ n4 @ n27 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2023,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_2024,plain,
( ( sum @ n4 @ n26 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2025,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl929_2026,plain,
( ( sum @ n26 @ n29 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1048_2027,plain,
( ( sum @ n30 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20172,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n4 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9147,zip_derived_cl245,zip_derived_cl63,zip_derived_cl244,zip_derived_cl93,zip_derived_cl929,zip_derived_cl1048]) ).
thf(zip_derived_cl7_2028,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('314',plain,
( ( sk_ != n4 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20172,zip_derived_cl7]) ).
thf(zip_derived_cl1526_2029,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_2030,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9082,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n4 @ n25 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl9077]) ).
thf(zip_derived_cl244_2031,plain,
( ( sum @ n4 @ n26 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2032,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2033,plain,
( ( sum @ n4 @ n25 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2034,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl897_2035,plain,
( ( sum @ n25 @ n28 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1015,plain,
( ( sum @ n29 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20036,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n4 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9082,zip_derived_cl244,zip_derived_cl93,zip_derived_cl243,zip_derived_cl92,zip_derived_cl897,zip_derived_cl1015]) ).
thf(zip_derived_cl10_2036,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('315',plain,
( ( sk_ != n4 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20036,zip_derived_cl10]) ).
thf(zip_derived_cl1526_2037,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_2038,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9017,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n4 @ n24 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl9012]) ).
thf(zip_derived_cl243_2039,plain,
( ( sum @ n4 @ n25 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2040,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_2041,plain,
( ( sum @ n4 @ n24 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_2042,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl865_2043,plain,
( ( sum @ n24 @ n27 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl982_2044,plain,
( ( sum @ n28 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19900,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n4 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9017,zip_derived_cl243,zip_derived_cl92,zip_derived_cl242,zip_derived_cl91,zip_derived_cl865,zip_derived_cl982]) ).
thf(zip_derived_cl13_2045,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('316',plain,
( ( sk_ != n4 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19900,zip_derived_cl13]) ).
thf(zip_derived_cl1526_2046,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_2047,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8887,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n4 @ n22 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8882]) ).
thf(zip_derived_cl241_2048,plain,
( ( sum @ n4 @ n23 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2049,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_2050,plain,
( ( sum @ n4 @ n22 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_2051,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl801_2052,plain,
( ( sum @ n22 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl916,plain,
( ( sum @ n26 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19628,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n4 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8887,zip_derived_cl241,zip_derived_cl90,zip_derived_cl240,zip_derived_cl89,zip_derived_cl801,zip_derived_cl916]) ).
thf(zip_derived_cl19_2053,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('317',plain,
( ( sk_ != n4 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19628,zip_derived_cl19]) ).
thf(zip_derived_cl1526_2054,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_2055,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8819,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n4 @ n21 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8814]) ).
thf(zip_derived_cl240_2056,plain,
( ( sum @ n4 @ n22 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_2057,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_2058,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2059,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl769_2060,plain,
( ( sum @ n21 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl883,plain,
( ( sum @ n25 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19490,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n4 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8819,zip_derived_cl240,zip_derived_cl89,zip_derived_cl239,zip_derived_cl88,zip_derived_cl769,zip_derived_cl883]) ).
thf(zip_derived_cl22_2061,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('318',plain,
( ( sk_ != n4 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19490,zip_derived_cl22]) ).
thf(zip_derived_cl1526_2062,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_2063,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8743,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n4 @ n20 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8738]) ).
thf(zip_derived_cl239_2064,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2065,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_2066,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2067,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_2068,plain,
( ( sum @ n20 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl850,plain,
( ( sum @ n24 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19354,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n4 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8743,zip_derived_cl239,zip_derived_cl88,zip_derived_cl238,zip_derived_cl87,zip_derived_cl737,zip_derived_cl850]) ).
thf(zip_derived_cl25_2069,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('319',plain,
( ( sk_ != n4 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19354,zip_derived_cl25]) ).
thf(zip_derived_cl1526_2070,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_2071,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8678,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n4 @ n19 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8673]) ).
thf(zip_derived_cl238_2072,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2073,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_2074,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2075,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_2076,plain,
( ( sum @ n19 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl817_2077,plain,
( ( sum @ n23 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19218,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n4 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8678,zip_derived_cl238,zip_derived_cl87,zip_derived_cl237,zip_derived_cl86,zip_derived_cl705,zip_derived_cl817]) ).
thf(zip_derived_cl28_2078,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('320',plain,
( ( sk_ != n4 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19218,zip_derived_cl28]) ).
thf(zip_derived_cl1526_2079,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_2080,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8603,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n4 @ n18 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8598]) ).
thf(zip_derived_cl237_2081,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2082,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_2083,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2084,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl673_2085,plain,
( ( sum @ n18 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl784,plain,
( ( sum @ n22 @ n8 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19082,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n4 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8603,zip_derived_cl237,zip_derived_cl86,zip_derived_cl236,zip_derived_cl85,zip_derived_cl673,zip_derived_cl784]) ).
thf(zip_derived_cl0_2086,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('321',plain,
( ( sk_ != n4 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19082,zip_derived_cl0]) ).
thf(zip_derived_cl1526_2087,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_2088,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8534,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n4 @ n17 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8529]) ).
thf(zip_derived_cl236_2089,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2090,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_2091,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2092,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl641_2093,plain,
( ( sum @ n17 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl751,plain,
( ( sum @ n21 @ n6 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18946,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n4 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8534,zip_derived_cl236,zip_derived_cl85,zip_derived_cl235,zip_derived_cl84,zip_derived_cl641,zip_derived_cl751]) ).
thf(zip_derived_cl3_2094,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('322',plain,
( ( sk_ != n4 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18946,zip_derived_cl3]) ).
thf(zip_derived_cl1526_2095,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_2096,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8466,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n4 @ n16 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8461]) ).
thf(zip_derived_cl235_2097,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2098,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_2099,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2100,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl609_2101,plain,
( ( sum @ n16 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_2102,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18808,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n4 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8466,zip_derived_cl235,zip_derived_cl84,zip_derived_cl234,zip_derived_cl83,zip_derived_cl609,zip_derived_cl718]) ).
thf(zip_derived_cl6_2103,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('323',plain,
( ( sk_ != n4 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18808,zip_derived_cl6]) ).
thf(zip_derived_cl1526_2104,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_2105,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8401,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n4 @ n15 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8396]) ).
thf(zip_derived_cl234_2106,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2107,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_2108,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2109,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577_2110,plain,
( ( sum @ n15 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl685_2111,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18672,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n4 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8401,zip_derived_cl234,zip_derived_cl83,zip_derived_cl233,zip_derived_cl82,zip_derived_cl577,zip_derived_cl685]) ).
thf(zip_derived_cl9_2112,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('324',plain,
( ( sk_ != n4 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18672,zip_derived_cl9]) ).
thf(zip_derived_cl1526_2113,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_2114,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8322,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n4 @ n14 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8317]) ).
thf(zip_derived_cl233_2115,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2116,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_2117,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2118,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545_2119,plain,
( ( sum @ n14 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl652,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18536,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n4 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8322,zip_derived_cl233,zip_derived_cl82,zip_derived_cl232,zip_derived_cl81,zip_derived_cl545,zip_derived_cl652]) ).
thf(zip_derived_cl12_2120,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('325',plain,
( ( sk_ != n4 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18536,zip_derived_cl12]) ).
thf(zip_derived_cl1526_2121,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_2122,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8257,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n4 @ n13 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8252]) ).
thf(zip_derived_cl232_2123,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2124,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_2125,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2126,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_2127,plain,
( ( sum @ n13 @ n16 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_2128,plain,
( ( sum @ n17 @ n29 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18400,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n4 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8257,zip_derived_cl232,zip_derived_cl81,zip_derived_cl231,zip_derived_cl80,zip_derived_cl513,zip_derived_cl650]) ).
thf(zip_derived_cl15_2129,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('326',plain,
( ( sk_ != n4 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18400,zip_derived_cl15]) ).
thf(zip_derived_cl1526_2130,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_2131,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8187,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n4 @ n12 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl8182]) ).
thf(zip_derived_cl231_2132,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2133,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_2134,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2135,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481_2136,plain,
( ( sum @ n12 @ n15 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617_2137,plain,
( ( sum @ n16 @ n27 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18264,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n4 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8187,zip_derived_cl231,zip_derived_cl80,zip_derived_cl230,zip_derived_cl79,zip_derived_cl481,zip_derived_cl617]) ).
thf(zip_derived_cl18_2138,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('327',plain,
( ( sk_ != n4 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18264,zip_derived_cl18]) ).
thf(zip_derived_cl1526_2139,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_2140,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5426,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n4 @ n11 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl5421]) ).
thf(zip_derived_cl230_2141,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2142,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_2143,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2144,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_2145,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584,plain,
( ( sum @ n15 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16050,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n4 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5426,zip_derived_cl230,zip_derived_cl79,zip_derived_cl229,zip_derived_cl78,zip_derived_cl449,zip_derived_cl584]) ).
thf(zip_derived_cl21_2146,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('328',plain,
( ( sk_ != n4 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16050,zip_derived_cl21]) ).
thf(zip_derived_cl1526_2147,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_2148,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4985,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n4 @ n10 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl4980]) ).
thf(zip_derived_cl229_2149,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2150,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_2151,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2152,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417_2153,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551_2154,plain,
( ( sum @ n14 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15466,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n4 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4985,zip_derived_cl229,zip_derived_cl78,zip_derived_cl228,zip_derived_cl77,zip_derived_cl417,zip_derived_cl551]) ).
thf(zip_derived_cl24_2155,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('329',plain,
( ( sk_ != n4 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15466,zip_derived_cl24]) ).
thf(zip_derived_cl1526_2156,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_2157,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4542,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n4 @ n9 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl4537]) ).
thf(zip_derived_cl228_2158,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2159,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_2160,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2161,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_2162,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518,plain,
( ( sum @ n13 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15005,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n4 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4542,zip_derived_cl228,zip_derived_cl77,zip_derived_cl227,zip_derived_cl76,zip_derived_cl385,zip_derived_cl518]) ).
thf(zip_derived_cl27_2163,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('330',plain,
( ( sk_ != n4 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15005,zip_derived_cl27]) ).
thf(zip_derived_cl1526_2164,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_2165,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4092,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n4 @ n8 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl4087]) ).
thf(zip_derived_cl227_2166,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2167,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_2168,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2169,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_2170,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485,plain,
( ( sum @ n12 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14579,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n4 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4092,zip_derived_cl227,zip_derived_cl76,zip_derived_cl226,zip_derived_cl75,zip_derived_cl353,zip_derived_cl485]) ).
thf(zip_derived_cl30_2171,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('331',plain,
( ( sk_ != n4 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14579,zip_derived_cl30]) ).
thf(zip_derived_cl1526_2172,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_2173,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3671,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n4 @ n7 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl3666]) ).
thf(zip_derived_cl226_2174,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2175,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_2176,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2177,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_2178,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452,plain,
( ( sum @ n11 @ n17 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14291,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n4 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3671,zip_derived_cl226,zip_derived_cl75,zip_derived_cl225,zip_derived_cl74,zip_derived_cl321,zip_derived_cl452]) ).
thf(zip_derived_cl2_2179,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('332',plain,
( ( sk_ != n4 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14291,zip_derived_cl2]) ).
thf(zip_derived_cl1526_2180,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2181,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3408,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n4 @ n6 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl3394]) ).
thf(zip_derived_cl225_2182,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2183,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_2184,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2185,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_2186,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_2187,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14184,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n4 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3408,zip_derived_cl225,zip_derived_cl74,zip_derived_cl224,zip_derived_cl73,zip_derived_cl289,zip_derived_cl419]) ).
thf(zip_derived_cl5_2188,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('333',plain,
( ( sk_ != n4 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14184,zip_derived_cl5]) ).
thf(zip_derived_cl1526_2189,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2190,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3112,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n4 @ n5 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl3103]) ).
thf(zip_derived_cl224_2191,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2192,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_2193,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2194,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_2195,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_2196,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14082,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n4 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3112,zip_derived_cl224,zip_derived_cl73,zip_derived_cl223,zip_derived_cl72,zip_derived_cl257,zip_derived_cl386]) ).
thf(zip_derived_cl8_2197,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('334',plain,
( ( sk_ != n4 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14082,zip_derived_cl8]) ).
thf(zip_derived_cl1526_2198,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_2199,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2939,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n4 @ n3 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl2932]) ).
thf(zip_derived_cl222_2200,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2201,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_2202,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2203,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_2204,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13913,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n4 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2939,zip_derived_cl222,zip_derived_cl71,zip_derived_cl221,zip_derived_cl70,zip_derived_cl193,zip_derived_cl320]) ).
thf(zip_derived_cl14_2205,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('335',plain,
( ( sk_ != n4 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13913,zip_derived_cl14]) ).
thf(zip_derived_cl1526_2206,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_2207,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2732,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n4 @ n0 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1526,zip_derived_cl2727]) ).
thf(zip_derived_cl219_2208,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2209,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_2210,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2211,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_2212,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_2213,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13726,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2732,zip_derived_cl219,zip_derived_cl68,zip_derived_cl218,zip_derived_cl67,zip_derived_cl97,zip_derived_cl221]) ).
thf(zip_derived_cl23_2214,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('336',plain,
( ( sk_ != n4 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13726,zip_derived_cl23]) ).
thf(zip_derived_cl1031,plain,
( ( sum @ n30 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_2215,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2216,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3434,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n30 @ n6 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl3394]) ).
thf(zip_derived_cl16639,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n6 @ ( pred @ ( sum @ n30 @ n6 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1031,zip_derived_cl3434]) ).
thf(zip_derived_cl69_2217,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1030,plain,
( ( sum @ n30 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2218,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_2219,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_2220,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16644,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n30 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16639,zip_derived_cl69,zip_derived_cl1030,zip_derived_cl68,zip_derived_cl284,zip_derived_cl259]) ).
thf(zip_derived_cl15_2221,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('337',plain,
( ( sk__1 != n6 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16644,zip_derived_cl15]) ).
thf(zip_derived_cl845,plain,
( ( sum @ n24 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_2222,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2223,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3428,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n24 @ n6 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl3394]) ).
thf(zip_derived_cl15297,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n6 @ ( pred @ ( sum @ n24 @ n6 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl845,zip_derived_cl3428]) ).
thf(zip_derived_cl63_2224,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl844,plain,
( ( sum @ n24 @ n6 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2225,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309_2226,plain,
( ( sum @ n6 @ n29 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15299,plain,
( ( sk__2
= ( sum @ n30 @ n4 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15297,zip_derived_cl63,zip_derived_cl844,zip_derived_cl93,zip_derived_cl309]) ).
thf(zip_derived_cl1028_2227,plain,
( ( sum @ n30 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16607,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n24 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15299,zip_derived_cl1028]) ).
thf(zip_derived_cl27_2228,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('338',plain,
( ( sk__1 != n6 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16607,zip_derived_cl27]) ).
thf(zip_derived_cl1000,plain,
( ( sum @ n29 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2229,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2230,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3433,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n29 @ n6 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl3394]) ).
thf(zip_derived_cl16393,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n6 @ ( pred @ ( sum @ n29 @ n6 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1000,zip_derived_cl3433]) ).
thf(zip_derived_cl68_2231,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl999,plain,
( ( sum @ n29 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2232,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_2233,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_2234,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16398,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n29 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16393,zip_derived_cl68,zip_derived_cl999,zip_derived_cl67,zip_derived_cl283,zip_derived_cl227]) ).
thf(zip_derived_cl17_2235,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('339',plain,
( ( sk__1 != n6 )
| ( sk_ != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16398,zip_derived_cl17]) ).
thf(zip_derived_cl814_2236,plain,
( ( sum @ n23 @ n7 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_2237,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2238,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3427,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n23 @ n6 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl3394]) ).
thf(zip_derived_cl15110,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n6 @ ( pred @ ( sum @ n23 @ n6 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl814,zip_derived_cl3427]) ).
thf(zip_derived_cl93_2239,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl813_2240,plain,
( ( sum @ n23 @ n6 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2241,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_2242,plain,
( ( sum @ n6 @ n28 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15112,plain,
( ( sk__2
= ( sum @ n29 @ n3 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15110,zip_derived_cl93,zip_derived_cl813,zip_derived_cl92,zip_derived_cl308]) ).
thf(zip_derived_cl996_2243,plain,
( ( sum @ n29 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16352,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n23 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15112,zip_derived_cl996]) ).
thf(zip_derived_cl29_2244,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('340',plain,
( ( sk__1 != n6 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16352,zip_derived_cl29]) ).
thf(zip_derived_cl969_2245,plain,
( ( sum @ n28 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2246,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2247,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3432,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n28 @ n6 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl3394]) ).
thf(zip_derived_cl16161,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n6 @ ( pred @ ( sum @ n28 @ n6 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl969,zip_derived_cl3432]) ).
thf(zip_derived_cl67_2248,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl968_2249,plain,
( ( sum @ n28 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2250,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_2251,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_2252,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16166,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n28 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16161,zip_derived_cl67,zip_derived_cl968,zip_derived_cl66,zip_derived_cl282,zip_derived_cl195]) ).
thf(zip_derived_cl19_2253,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('341',plain,
( ( sk__1 != n6 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16166,zip_derived_cl19]) ).
thf(zip_derived_cl783_2254,plain,
( ( sum @ n22 @ n7 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_2255,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2256,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3426,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n22 @ n6 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl3394]) ).
thf(zip_derived_cl14948,plain,
( ( sk__2
= ( sum @ ( pred @ n29 ) @ ( sum @ n6 @ ( pred @ ( sum @ n22 @ n6 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl783,zip_derived_cl3426]) ).
thf(zip_derived_cl92_2257,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl782_2258,plain,
( ( sum @ n22 @ n6 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_2259,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307_2260,plain,
( ( sum @ n6 @ n27 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14950,plain,
( ( sk__2
= ( sum @ n28 @ n2 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14948,zip_derived_cl92,zip_derived_cl782,zip_derived_cl91,zip_derived_cl307]) ).
thf(zip_derived_cl964_2261,plain,
( ( sum @ n28 @ n2 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16114,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n22 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14950,zip_derived_cl964]) ).
thf(zip_derived_cl0_2262,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('342',plain,
( ( sk__1 != n6 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16114,zip_derived_cl0]) ).
thf(zip_derived_cl938_2263,plain,
( ( sum @ n27 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_2264,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2265,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3431,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n27 @ n6 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl3394]) ).
thf(zip_derived_cl15928,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n6 @ ( pred @ ( sum @ n27 @ n6 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl938,zip_derived_cl3431]) ).
thf(zip_derived_cl66_2266,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl937_2267,plain,
( ( sum @ n27 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2268,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_2269,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_2270,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15931,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n27 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15928,zip_derived_cl66,zip_derived_cl937,zip_derived_cl65,zip_derived_cl281,zip_derived_cl163]) ).
thf(zip_derived_cl21_2271,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('343',plain,
( ( sk__1 != n6 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15931,zip_derived_cl21]) ).
thf(zip_derived_cl752,plain,
( ( sum @ n21 @ n7 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_2272,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2273,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3425,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n21 @ n6 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl3394]) ).
thf(zip_derived_cl14754,plain,
( ( sk__2
= ( sum @ ( pred @ n28 ) @ ( sum @ n6 @ ( pred @ ( sum @ n21 @ n6 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl752,zip_derived_cl3425]) ).
thf(zip_derived_cl91_2274,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl751_2275,plain,
( ( sum @ n21 @ n6 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2276,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306_2277,plain,
( ( sum @ n6 @ n26 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14757,plain,
( ( sk__2
= ( sum @ n27 @ n1 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14754,zip_derived_cl91,zip_derived_cl751,zip_derived_cl90,zip_derived_cl306]) ).
thf(zip_derived_cl932_2278,plain,
( ( sum @ n27 @ n1 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15876,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n21 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14757,zip_derived_cl932]) ).
thf(zip_derived_cl2_2279,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('344',plain,
( ( sk__1 != n6 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15876,zip_derived_cl2]) ).
thf(zip_derived_cl907,plain,
( ( sum @ n26 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_2280,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2281,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n26 @ n6 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl3394]) ).
thf(zip_derived_cl15700,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n6 @ ( pred @ ( sum @ n26 @ n6 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl907,zip_derived_cl3430]) ).
thf(zip_derived_cl65_2282,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl906,plain,
( ( sum @ n26 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2283,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_2284,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_2285,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15702,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n26 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15700,zip_derived_cl65,zip_derived_cl906,zip_derived_cl64,zip_derived_cl280,zip_derived_cl131]) ).
thf(zip_derived_cl23_2286,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('345',plain,
( ( sk__1 != n6 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15702,zip_derived_cl23]) ).
thf(zip_derived_cl721_2287,plain,
( ( sum @ n20 @ n7 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_2288,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2289,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3424,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n20 @ n6 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl3394]) ).
thf(zip_derived_cl14617,plain,
( ( sk__2
= ( sum @ ( pred @ n27 ) @ ( sum @ n6 @ ( pred @ ( sum @ n20 @ n6 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl3424]) ).
thf(zip_derived_cl90_2290,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_2291,plain,
( ( sum @ n20 @ n6 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_2292,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305_2293,plain,
( ( sum @ n6 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14620,plain,
( ( sk__2
= ( sum @ n26 @ n0 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14617,zip_derived_cl90,zip_derived_cl720,zip_derived_cl89,zip_derived_cl305]) ).
thf(zip_derived_cl900_2294,plain,
( ( sum @ n26 @ n0 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15650,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14620,zip_derived_cl900]) ).
thf(zip_derived_cl4_2295,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('346',plain,
( ( sk__1 != n6 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15650,zip_derived_cl4]) ).
thf(zip_derived_cl690,plain,
( ( sum @ n19 @ n7 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_2296,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2297,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3423,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n19 @ n6 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl3394]) ).
thf(zip_derived_cl14419,plain,
( ( sk__2
= ( sum @ ( pred @ n26 ) @ ( sum @ n6 @ ( pred @ ( sum @ n19 @ n6 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl690,zip_derived_cl3423]) ).
thf(zip_derived_cl89_2298,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl689_2299,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2300,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_2301,plain,
( ( sum @ n6 @ n24 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14421,plain,
( ( sk__2
= ( sum @ n25 @ n30 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14419,zip_derived_cl89,zip_derived_cl689,zip_derived_cl88,zip_derived_cl304]) ).
thf(zip_derived_cl899_2302,plain,
( ( sum @ n25 @ n30 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15639,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14421,zip_derived_cl899]) ).
thf(zip_derived_cl6_2303,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('347',plain,
( ( sk__1 != n6 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15639,zip_derived_cl6]) ).
thf(zip_derived_cl876,plain,
( ( sum @ n25 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_2304,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2305,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3429,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n25 @ n6 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl3394]) ).
thf(zip_derived_cl15515,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n6 @ ( pred @ ( sum @ n25 @ n6 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl876,zip_derived_cl3429]) ).
thf(zip_derived_cl64_2306,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl875,plain,
( ( sum @ n25 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2307,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_2308,plain,
( ( sum @ n6 @ n30 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_2309,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15517,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n25 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15515,zip_derived_cl64,zip_derived_cl875,zip_derived_cl63,zip_derived_cl310,zip_derived_cl99]) ).
thf(zip_derived_cl25_2310,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('348',plain,
( ( sk__1 != n6 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15517,zip_derived_cl25]) ).
thf(zip_derived_cl659,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_2311,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2312,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3422,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n18 @ n6 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl3394]) ).
thf(zip_derived_cl14293,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n6 @ ( pred @ ( sum @ n18 @ n6 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl659,zip_derived_cl3422]) ).
thf(zip_derived_cl88_2313,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2314,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_2315,plain,
( ( sum @ n6 @ n23 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14295,plain,
( ( sk__2
= ( sum @ n24 @ n29 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14293,zip_derived_cl88,zip_derived_cl658,zip_derived_cl87,zip_derived_cl303]) ).
thf(zip_derived_cl867_2316,plain,
( ( sum @ n24 @ n29 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15450,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14295,zip_derived_cl867]) ).
thf(zip_derived_cl8_2317,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('349',plain,
( ( sk_ != n18 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15450,zip_derived_cl8]) ).
thf(zip_derived_cl1539_2318,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2319,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3421,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n17 @ n6 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl3394]) ).
thf(zip_derived_cl628,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2320,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl627,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2321,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_2322,plain,
( ( sum @ n6 @ n22 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14204,plain,
( ( sk__2
= ( sum @ n23 @ n28 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3421,zip_derived_cl628,zip_derived_cl87,zip_derived_cl627,zip_derived_cl86,zip_derived_cl302]) ).
thf(zip_derived_cl835_2323,plain,
( ( sum @ n23 @ n28 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15221,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14204,zip_derived_cl835]) ).
thf(zip_derived_cl10_2324,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('350',plain,
( ( sk__1 != n6 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15221,zip_derived_cl10]) ).
thf(zip_derived_cl1538_2325,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2326,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3420,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n16 @ n6 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl3394]) ).
thf(zip_derived_cl597_2327,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2328,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2329,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_2330,plain,
( ( sum @ n6 @ n21 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14203,plain,
( ( sk__2
= ( sum @ n22 @ n27 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3420,zip_derived_cl597,zip_derived_cl86,zip_derived_cl596,zip_derived_cl85,zip_derived_cl301]) ).
thf(zip_derived_cl803_2331,plain,
( ( sum @ n22 @ n27 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15056,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14203,zip_derived_cl803]) ).
thf(zip_derived_cl12_2332,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('351',plain,
( ( sk__1 != n6 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15056,zip_derived_cl12]) ).
thf(zip_derived_cl1537_2333,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3419,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n15 @ n6 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl3394]) ).
thf(zip_derived_cl566,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2335,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl565_2336,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2337,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_2338,plain,
( ( sum @ n6 @ n20 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14202,plain,
( ( sk__2
= ( sum @ n21 @ n26 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3419,zip_derived_cl566,zip_derived_cl85,zip_derived_cl565,zip_derived_cl84,zip_derived_cl300]) ).
thf(zip_derived_cl771_2339,plain,
( ( sum @ n21 @ n26 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14866,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14202,zip_derived_cl771]) ).
thf(zip_derived_cl14_2340,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('352',plain,
( ( sk__1 != n6 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14866,zip_derived_cl14]) ).
thf(zip_derived_cl1536_2341,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2342,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3418,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n14 @ n6 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl3394]) ).
thf(zip_derived_cl535,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2343,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2344,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_2345,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14201,plain,
( ( sk__2
= ( sum @ n20 @ n25 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3418,zip_derived_cl535,zip_derived_cl84,zip_derived_cl534,zip_derived_cl83,zip_derived_cl299]) ).
thf(zip_derived_cl739_2346,plain,
( ( sum @ n20 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14694,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14201,zip_derived_cl739]) ).
thf(zip_derived_cl16_2347,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('353',plain,
( ( sk__1 != n6 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14694,zip_derived_cl16]) ).
thf(zip_derived_cl1535_2348,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2349,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3417,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n13 @ n6 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl3394]) ).
thf(zip_derived_cl504,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2350,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2351,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_2352,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14200,plain,
( ( sk__2
= ( sum @ n19 @ n24 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3417,zip_derived_cl504,zip_derived_cl83,zip_derived_cl503,zip_derived_cl82,zip_derived_cl298]) ).
thf(zip_derived_cl707_2353,plain,
( ( sum @ n19 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14531,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14200,zip_derived_cl707]) ).
thf(zip_derived_cl18_2354,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('354',plain,
( ( sk__1 != n6 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14531,zip_derived_cl18]) ).
thf(zip_derived_cl1534_2355,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2356,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3416,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n12 @ n6 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl3394]) ).
thf(zip_derived_cl473_2357,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2358,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2359,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_2360,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14199,plain,
( ( sk__2
= ( sum @ n18 @ n23 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3416,zip_derived_cl473,zip_derived_cl82,zip_derived_cl472,zip_derived_cl81,zip_derived_cl297]) ).
thf(zip_derived_cl675_2361,plain,
( ( sum @ n18 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14356,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14199,zip_derived_cl675]) ).
thf(zip_derived_cl20_2362,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('355',plain,
( ( sk__1 != n6 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14356,zip_derived_cl20]) ).
thf(zip_derived_cl1533_2363,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2364,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3415,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n11 @ n6 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl3394]) ).
thf(zip_derived_cl442_2365,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2366,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_2367,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2368,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_2369,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14198,plain,
( ( sk__2
= ( sum @ n17 @ n22 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3415,zip_derived_cl442,zip_derived_cl81,zip_derived_cl441,zip_derived_cl80,zip_derived_cl296]) ).
thf(zip_derived_cl643_2370,plain,
( ( sum @ n17 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14233,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14198,zip_derived_cl643]) ).
thf(zip_derived_cl22_2371,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('356',plain,
( ( sk_ != n11 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14233,zip_derived_cl22]) ).
thf(zip_derived_cl1532_2372,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2373,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3414,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n10 @ n6 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl3394]) ).
thf(zip_derived_cl411,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2374,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_2375,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2376,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_2377,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611_2378,plain,
( ( sum @ n16 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14196,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3414,zip_derived_cl411,zip_derived_cl80,zip_derived_cl410,zip_derived_cl79,zip_derived_cl295,zip_derived_cl611]) ).
thf(zip_derived_cl24_2379,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('357',plain,
( ( sk__1 != n6 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14196,zip_derived_cl24]) ).
thf(zip_derived_cl1531_2380,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2381,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3413,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n9 @ n6 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl3394]) ).
thf(zip_derived_cl380,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2382,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2383,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_2384,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579_2385,plain,
( ( sum @ n15 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14194,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3413,zip_derived_cl380,zip_derived_cl79,zip_derived_cl379,zip_derived_cl78,zip_derived_cl294,zip_derived_cl579]) ).
thf(zip_derived_cl26_2386,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('358',plain,
( ( sk__1 != n6 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14194,zip_derived_cl26]) ).
thf(zip_derived_cl1530_2387,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2388,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3412,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n8 @ n6 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl3394]) ).
thf(zip_derived_cl349_2389,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2390,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2391,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_2392,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547_2393,plain,
( ( sum @ n14 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14192,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3412,zip_derived_cl349,zip_derived_cl78,zip_derived_cl348,zip_derived_cl77,zip_derived_cl293,zip_derived_cl547]) ).
thf(zip_derived_cl28_2394,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('359',plain,
( ( sk__1 != n6 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14192,zip_derived_cl28]) ).
thf(zip_derived_cl1529_2395,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2396,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3411,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n7 @ n6 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl3394]) ).
thf(zip_derived_cl318_2397,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2398,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_2399,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2400,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_2401,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_2402,plain,
( ( sum @ n13 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14190,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n7 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3411,zip_derived_cl318,zip_derived_cl77,zip_derived_cl317,zip_derived_cl76,zip_derived_cl292,zip_derived_cl515]) ).
thf(zip_derived_cl30_2403,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('360',plain,
( ( sk__1 != n6 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14190,zip_derived_cl30]) ).
thf(zip_derived_cl1525_2404,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3394_2405,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl2144]) ).
thf(zip_derived_cl3407,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ n3 @ n6 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl3394]) ).
thf(zip_derived_cl194_2406,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2407,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_2408,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2409,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_2410,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_2411,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14182,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n3 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3407,zip_derived_cl194,zip_derived_cl73,zip_derived_cl193,zip_derived_cl72,zip_derived_cl288,zip_derived_cl387]) ).
thf(zip_derived_cl7_2412,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('361',plain,
( ( sk__1 != n6 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14182,zip_derived_cl7]) ).
thf(zip_derived_cl1551_2413,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_2414,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9457,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n29 @ n30 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl9427]) ).
thf(zip_derived_cl993,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2415,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1023_2416,plain,
( ( sum @ n29 @ n30 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_2417,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1051_2418,plain,
( ( sum @ n30 @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl988_2419,plain,
( ( sum @ n28 @ n26 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20774,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n29 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9457,zip_derived_cl993,zip_derived_cl92,zip_derived_cl1023,zip_derived_cl91,zip_derived_cl1051,zip_derived_cl988]) ).
thf(zip_derived_cl7_2420,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('362',plain,
( ( sk_ != n29 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20774,zip_derived_cl7]) ).
thf(zip_derived_cl1551_2421,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_2422,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9392,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n29 @ n29 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl9362]) ).
thf(zip_derived_cl1023_2423,plain,
( ( sum @ n29 @ n30 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_2424,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1022_2425,plain,
( ( sum @ n29 @ n29 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2426,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1019_2427,plain,
( ( sum @ n29 @ n26 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl955_2428,plain,
( ( sum @ n27 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20636,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n29 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9392,zip_derived_cl1023,zip_derived_cl91,zip_derived_cl1022,zip_derived_cl90,zip_derived_cl1019,zip_derived_cl955]) ).
thf(zip_derived_cl10_2429,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('363',plain,
( ( sk_ != n29 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20636,zip_derived_cl10]) ).
thf(zip_derived_cl1551_2430,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_2431,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9172,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n29 @ n26 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl9142]) ).
thf(zip_derived_cl1020_2432,plain,
( ( sum @ n29 @ n27 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2433,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1019_2434,plain,
( ( sum @ n29 @ n26 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2435,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl923_2436,plain,
( ( sum @ n26 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl856,plain,
( ( sum @ n24 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20228,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n29 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9172,zip_derived_cl1020,zip_derived_cl88,zip_derived_cl1019,zip_derived_cl87,zip_derived_cl923,zip_derived_cl856]) ).
thf(zip_derived_cl19_2437,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('364',plain,
( ( sk_ != n29 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20228,zip_derived_cl19]) ).
thf(zip_derived_cl1551_2438,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_2439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9107,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n29 @ n25 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl9077]) ).
thf(zip_derived_cl1019_2440,plain,
( ( sum @ n29 @ n26 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2441,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1018_2442,plain,
( ( sum @ n29 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2443,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl891,plain,
( ( sum @ n25 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl823_2444,plain,
( ( sum @ n23 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20092,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n29 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9107,zip_derived_cl1019,zip_derived_cl87,zip_derived_cl1018,zip_derived_cl86,zip_derived_cl891,zip_derived_cl823]) ).
thf(zip_derived_cl22_2445,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('365',plain,
( ( sk_ != n29 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20092,zip_derived_cl22]) ).
thf(zip_derived_cl1551_2446,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_2447,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9042,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n29 @ n24 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl9012]) ).
thf(zip_derived_cl1018_2448,plain,
( ( sum @ n29 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2449,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1017_2450,plain,
( ( sum @ n29 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2451,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl859,plain,
( ( sum @ n24 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl790,plain,
( ( sum @ n22 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19954,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n29 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9042,zip_derived_cl1018,zip_derived_cl86,zip_derived_cl1017,zip_derived_cl85,zip_derived_cl859,zip_derived_cl790]) ).
thf(zip_derived_cl25_2452,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('366',plain,
( ( sk_ != n29 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19954,zip_derived_cl25]) ).
thf(zip_derived_cl1551_2453,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_2454,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8912,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n29 @ n22 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl8882]) ).
thf(zip_derived_cl1016_2455,plain,
( ( sum @ n29 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2456,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1015_2457,plain,
( ( sum @ n29 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2458,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl795,plain,
( ( sum @ n22 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724,plain,
( ( sum @ n20 @ n10 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19682,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n29 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8912,zip_derived_cl1016,zip_derived_cl84,zip_derived_cl1015,zip_derived_cl83,zip_derived_cl795,zip_derived_cl724]) ).
thf(zip_derived_cl0_2459,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('367',plain,
( ( sk_ != n29 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19682,zip_derived_cl0]) ).
thf(zip_derived_cl1551_2460,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_2461,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8844,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n29 @ n21 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl8814]) ).
thf(zip_derived_cl1015_2462,plain,
( ( sum @ n29 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2463,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1014_2464,plain,
( ( sum @ n29 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2465,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl763,plain,
( ( sum @ n21 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl691,plain,
( ( sum @ n19 @ n8 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19546,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n29 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8844,zip_derived_cl1015,zip_derived_cl83,zip_derived_cl1014,zip_derived_cl82,zip_derived_cl763,zip_derived_cl691]) ).
thf(zip_derived_cl3_2466,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('368',plain,
( ( sk_ != n29 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19546,zip_derived_cl3]) ).
thf(zip_derived_cl1551_2467,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_2468,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8768,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n29 @ n20 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl8738]) ).
thf(zip_derived_cl1014_2469,plain,
( ( sum @ n29 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2470,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1013_2471,plain,
( ( sum @ n29 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2472,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731,plain,
( ( sum @ n20 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658_2473,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19410,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n29 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8768,zip_derived_cl1014,zip_derived_cl82,zip_derived_cl1013,zip_derived_cl81,zip_derived_cl731,zip_derived_cl658]) ).
thf(zip_derived_cl6_2474,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('369',plain,
( ( sk_ != n29 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19410,zip_derived_cl6]) ).
thf(zip_derived_cl1551_2475,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_2476,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8703,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n29 @ n19 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl8673]) ).
thf(zip_derived_cl1013_2477,plain,
( ( sum @ n29 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2478,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1012,plain,
( ( sum @ n29 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2479,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl699,plain,
( ( sum @ n19 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl625_2480,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19272,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n29 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8703,zip_derived_cl1013,zip_derived_cl81,zip_derived_cl1012,zip_derived_cl80,zip_derived_cl699,zip_derived_cl625]) ).
thf(zip_derived_cl9_2481,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('370',plain,
( ( sk_ != n29 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19272,zip_derived_cl9]) ).
thf(zip_derived_cl1551_2482,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_2483,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8628,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n29 @ n18 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl8598]) ).
thf(zip_derived_cl1012_2484,plain,
( ( sum @ n29 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2485,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1011,plain,
( ( sum @ n29 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2486,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667,plain,
( ( sum @ n18 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_2487,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19136,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n29 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8628,zip_derived_cl1012,zip_derived_cl80,zip_derived_cl1011,zip_derived_cl79,zip_derived_cl667,zip_derived_cl592]) ).
thf(zip_derived_cl12_2488,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('371',plain,
( ( sk_ != n29 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19136,zip_derived_cl12]) ).
thf(zip_derived_cl1551_2489,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_2490,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8559,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n29 @ n17 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl8529]) ).
thf(zip_derived_cl1011_2491,plain,
( ( sum @ n29 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2492,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1010,plain,
( ( sum @ n29 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2493,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635,plain,
( ( sum @ n17 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19000,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n29 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8559,zip_derived_cl1011,zip_derived_cl79,zip_derived_cl1010,zip_derived_cl78,zip_derived_cl635,zip_derived_cl559]) ).
thf(zip_derived_cl15_2494,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('372',plain,
( ( sk_ != n29 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19000,zip_derived_cl15]) ).
thf(zip_derived_cl1551_2495,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_2496,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8491,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n29 @ n16 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl8461]) ).
thf(zip_derived_cl1010_2497,plain,
( ( sum @ n29 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2498,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1009,plain,
( ( sum @ n29 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2499,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603,plain,
( ( sum @ n16 @ n13 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557_2500,plain,
( ( sum @ n14 @ n29 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18864,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n29 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8491,zip_derived_cl1010,zip_derived_cl78,zip_derived_cl1009,zip_derived_cl77,zip_derived_cl603,zip_derived_cl557]) ).
thf(zip_derived_cl18_2501,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('373',plain,
( ( sk_ != n29 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18864,zip_derived_cl18]) ).
thf(zip_derived_cl1568_2502,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1551_2503,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_2504,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2179,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n29 @ sk__1 ) ) ) ) )
<= ( sk_ = n29 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl31]) ).
thf(zip_derived_cl7815,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ ( succ @ n15 ) ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n29 @ n15 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1568,zip_derived_cl2179]) ).
thf(zip_derived_cl47_2505,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7908,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n29 @ n15 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7815,zip_derived_cl47]) ).
thf(zip_derived_cl1009_2506,plain,
( ( sum @ n29 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2507,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1008,plain,
( ( sum @ n29 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2508,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571,plain,
( ( sum @ n15 @ n12 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524_2509,plain,
( ( sum @ n13 @ n27 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18076,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n29 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7908,zip_derived_cl1009,zip_derived_cl77,zip_derived_cl1008,zip_derived_cl76,zip_derived_cl571,zip_derived_cl524]) ).
thf(zip_derived_cl21_2510,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('374',plain,
( ( sk_ != n29 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18076,zip_derived_cl21]) ).
thf(zip_derived_cl1567_2511,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2179_2512,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n29 @ sk__1 ) ) ) ) )
<= ( sk_ = n29 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl31]) ).
thf(zip_derived_cl7814,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n29 @ n14 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl2179]) ).
thf(zip_derived_cl46_2513,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7907,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n29 @ n14 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7814,zip_derived_cl46]) ).
thf(zip_derived_cl1008_2514,plain,
( ( sum @ n29 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2515,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1007,plain,
( ( sum @ n29 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2516,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl539,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491,plain,
( ( sum @ n12 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18074,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n29 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7907,zip_derived_cl1008,zip_derived_cl76,zip_derived_cl1007,zip_derived_cl75,zip_derived_cl539,zip_derived_cl491]) ).
thf(zip_derived_cl24_2517,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('375',plain,
( ( sk_ != n29 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18074,zip_derived_cl24]) ).
thf(zip_derived_cl1566_2518,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2179_2519,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n29 @ sk__1 ) ) ) ) )
<= ( sk_ = n29 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl31]) ).
thf(zip_derived_cl7813,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n29 @ n13 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2179]) ).
thf(zip_derived_cl45_2520,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7906,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n29 @ n13 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7813,zip_derived_cl45]) ).
thf(zip_derived_cl1007_2521,plain,
( ( sum @ n29 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2522,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1006,plain,
( ( sum @ n29 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2523,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458_2524,plain,
( ( sum @ n11 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18072,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n29 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7906,zip_derived_cl1007,zip_derived_cl75,zip_derived_cl1006,zip_derived_cl74,zip_derived_cl507,zip_derived_cl458]) ).
thf(zip_derived_cl27_2525,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('376',plain,
( ( sk_ != n29 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18072,zip_derived_cl27]) ).
thf(zip_derived_cl1565_2526,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2179_2527,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n29 @ sk__1 ) ) ) ) )
<= ( sk_ = n29 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl31]) ).
thf(zip_derived_cl7812,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n29 @ n12 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2179]) ).
thf(zip_derived_cl44_2528,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7905,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n29 @ n12 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7812,zip_derived_cl44]) ).
thf(zip_derived_cl1006_2529,plain,
( ( sum @ n29 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2530,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1005,plain,
( ( sum @ n29 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2531,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425,plain,
( ( sum @ n10 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18070,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n29 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7905,zip_derived_cl1006,zip_derived_cl74,zip_derived_cl1005,zip_derived_cl73,zip_derived_cl475,zip_derived_cl425]) ).
thf(zip_derived_cl30_2532,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('377',plain,
( ( sk_ != n29 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18070,zip_derived_cl30]) ).
thf(zip_derived_cl994_2533,plain,
( ( sum @ n29 @ n1 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2534,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_2535,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2757,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n29 @ n0 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl2727]) ).
thf(zip_derived_cl16331,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n0 @ ( pred @ ( sum @ n29 @ n0 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl994,zip_derived_cl2757]) ).
thf(zip_derived_cl93_2536,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl993_2537,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2538,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_2539,plain,
( ( sum @ n0 @ n28 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16336,plain,
( ( sk__2
= ( sum @ n29 @ n28 ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16331,zip_derived_cl93,zip_derived_cl993,zip_derived_cl92,zip_derived_cl122]) ).
thf(zip_derived_cl1021_2540,plain,
( ( sum @ n29 @ n28 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16538,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n29 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16336,zip_derived_cl1021]) ).
thf(zip_derived_cl4_2541,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('378',plain,
( ( sk_ != n29 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16538,zip_derived_cl4]) ).
thf(zip_derived_cl1005_2542,plain,
( ( sum @ n29 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2543,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_2544,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5451,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n29 @ n11 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl5421]) ).
thf(zip_derived_cl16446,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n11 @ ( pred @ ( sum @ n29 @ n11 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1005,zip_derived_cl5451]) ).
thf(zip_derived_cl73_2545,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1004,plain,
( ( sum @ n29 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2546,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392,plain,
( ( sum @ n9 @ n19 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16448,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n29 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16446,zip_derived_cl73,zip_derived_cl1004,zip_derived_cl72,zip_derived_cl443,zip_derived_cl392]) ).
thf(zip_derived_cl2_2547,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('379',plain,
( ( sk_ != n29 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16448,zip_derived_cl2]) ).
thf(zip_derived_cl1004_2548,plain,
( ( sum @ n29 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2549,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_2550,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n29 @ n10 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl4980]) ).
thf(zip_derived_cl16436,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n10 @ ( pred @ ( sum @ n29 @ n10 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1004,zip_derived_cl5010]) ).
thf(zip_derived_cl72_2551,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1003,plain,
( ( sum @ n29 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2552,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_2553,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16439,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n29 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16436,zip_derived_cl72,zip_derived_cl1003,zip_derived_cl71,zip_derived_cl411,zip_derived_cl359]) ).
thf(zip_derived_cl5_2554,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('380',plain,
( ( sk_ != n29 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16439,zip_derived_cl5]) ).
thf(zip_derived_cl1003_2555,plain,
( ( sum @ n29 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2556,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_2557,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4567,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n29 @ n9 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl4537]) ).
thf(zip_derived_cl16424,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n9 @ ( pred @ ( sum @ n29 @ n9 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1003,zip_derived_cl4567]) ).
thf(zip_derived_cl71_2558,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1002,plain,
( ( sum @ n29 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2559,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_2560,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16427,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n29 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16424,zip_derived_cl71,zip_derived_cl1002,zip_derived_cl70,zip_derived_cl379,zip_derived_cl326]) ).
thf(zip_derived_cl8_2561,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('381',plain,
( ( sk_ != n29 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16427,zip_derived_cl8]) ).
thf(zip_derived_cl1002_2562,plain,
( ( sum @ n29 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2563,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_2564,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4117,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n29 @ n8 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl4087]) ).
thf(zip_derived_cl16414,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n8 @ ( pred @ ( sum @ n29 @ n8 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1002,zip_derived_cl4117]) ).
thf(zip_derived_cl70_2565,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1001,plain,
( ( sum @ n29 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2566,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_2567,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_2568,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16417,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n29 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16414,zip_derived_cl70,zip_derived_cl1001,zip_derived_cl69,zip_derived_cl347,zip_derived_cl293]) ).
thf(zip_derived_cl11_2569,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('382',plain,
( ( sk_ != n29 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16417,zip_derived_cl11]) ).
thf(zip_derived_cl1001_2570,plain,
( ( sum @ n29 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2571,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_2572,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3696,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n29 @ n7 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl3666]) ).
thf(zip_derived_cl16403,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n7 @ ( pred @ ( sum @ n29 @ n7 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1001,zip_derived_cl3696]) ).
thf(zip_derived_cl69_2573,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1000_2574,plain,
( ( sum @ n29 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2575,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_2576,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_2577,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16407,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n29 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16403,zip_derived_cl69,zip_derived_cl1000,zip_derived_cl68,zip_derived_cl315,zip_derived_cl260]) ).
thf(zip_derived_cl14_2578,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('383',plain,
( ( sk_ != n29 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16407,zip_derived_cl14]) ).
thf(zip_derived_cl999_2579,plain,
( ( sum @ n29 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2580,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2581,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3137,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n29 @ n5 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl3103]) ).
thf(zip_derived_cl16381,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n5 @ ( pred @ ( sum @ n29 @ n5 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl999,zip_derived_cl3137]) ).
thf(zip_derived_cl67_2582,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl998_2583,plain,
( ( sum @ n29 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2584,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_2585,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_2586,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16385,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n29 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16381,zip_derived_cl67,zip_derived_cl998,zip_derived_cl66,zip_derived_cl251,zip_derived_cl194]) ).
thf(zip_derived_cl20_2587,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('384',plain,
( ( sk_ != n29 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16385,zip_derived_cl20]) ).
thf(zip_derived_cl997_2588,plain,
( ( sum @ n29 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1551_2589,plain,
( ( sk_ = n29 )
<= ( sk_ = n29 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_2590,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2964,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n29 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n29 @ n3 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl2932]) ).
thf(zip_derived_cl16359,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n3 @ ( pred @ ( sum @ n29 @ n3 ) ) ) ) )
<= ( ( sk_ = n29 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl997,zip_derived_cl2964]) ).
thf(zip_derived_cl65_2591,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl996_2592,plain,
( ( sum @ n29 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2593,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_2594,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_2595,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16363,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n29 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16359,zip_derived_cl65,zip_derived_cl996,zip_derived_cl64,zip_derived_cl187,zip_derived_cl128]) ).
thf(zip_derived_cl26_2596,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('385',plain,
( ( sk_ != n29 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16363,zip_derived_cl26]) ).
thf(zip_derived_cl1030_2597,plain,
( ( sum @ n30 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_2598,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2599,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3138,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n30 @ n5 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl3103]) ).
thf(zip_derived_cl16627,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n5 @ ( pred @ ( sum @ n30 @ n5 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1030,zip_derived_cl3138]) ).
thf(zip_derived_cl68_2600,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1029_2601,plain,
( ( sum @ n30 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2602,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_2603,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_2604,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16631,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n30 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16627,zip_derived_cl68,zip_derived_cl1029,zip_derived_cl67,zip_derived_cl252,zip_derived_cl226]) ).
thf(zip_derived_cl18_2605,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('386',plain,
( ( sk__1 != n5 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16631,zip_derived_cl18]) ).
thf(zip_derived_cl875_2606,plain,
( ( sum @ n25 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_2607,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2608,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3133,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n25 @ n5 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl3103]) ).
thf(zip_derived_cl15511,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n5 @ ( pred @ ( sum @ n25 @ n5 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl875,zip_derived_cl3133]) ).
thf(zip_derived_cl63_2609,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl874_2610,plain,
( ( sum @ n25 @ n5 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2611,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_2612,plain,
( ( sum @ n5 @ n29 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15513,plain,
( ( sk__2
= ( sum @ n30 @ n3 ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15511,zip_derived_cl63,zip_derived_cl874,zip_derived_cl93,zip_derived_cl278]) ).
thf(zip_derived_cl1027_2613,plain,
( ( sum @ n30 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16598,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n25 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15513,zip_derived_cl1027]) ).
thf(zip_derived_cl28_2614,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('387',plain,
( ( sk__1 != n5 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16598,zip_derived_cl28]) ).
thf(zip_derived_cl844_2615,plain,
( ( sum @ n24 @ n6 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_2616,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2617,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3132,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n24 @ n5 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl3103]) ).
thf(zip_derived_cl15289,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n5 @ ( pred @ ( sum @ n24 @ n5 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl844,zip_derived_cl3132]) ).
thf(zip_derived_cl93_2618,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl843_2619,plain,
( ( sum @ n24 @ n5 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2620,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_2621,plain,
( ( sum @ n5 @ n28 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15291,plain,
( ( sk__2
= ( sum @ n29 @ n2 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15289,zip_derived_cl93,zip_derived_cl843,zip_derived_cl92,zip_derived_cl277]) ).
thf(zip_derived_cl995_2622,plain,
( ( sum @ n29 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16341,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n24 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15291,zip_derived_cl995]) ).
thf(zip_derived_cl30_2623,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('388',plain,
( ( sk__1 != n5 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16341,zip_derived_cl30]) ).
thf(zip_derived_cl968_2624,plain,
( ( sum @ n28 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_2625,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2626,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3136,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n28 @ n5 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl3103]) ).
thf(zip_derived_cl16149,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n5 @ ( pred @ ( sum @ n28 @ n5 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl968,zip_derived_cl3136]) ).
thf(zip_derived_cl66_2627,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl967_2628,plain,
( ( sum @ n28 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2629,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_2630,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_2631,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16153,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n28 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16149,zip_derived_cl66,zip_derived_cl967,zip_derived_cl65,zip_derived_cl250,zip_derived_cl162]) ).
thf(zip_derived_cl22_2632,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('389',plain,
( ( sk__1 != n5 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16153,zip_derived_cl22]) ).
thf(zip_derived_cl813_2633,plain,
( ( sum @ n23 @ n6 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_2634,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2635,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3131,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n23 @ n5 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl3103]) ).
thf(zip_derived_cl15103,plain,
( ( sk__2
= ( sum @ ( pred @ n29 ) @ ( sum @ n5 @ ( pred @ ( sum @ n23 @ n5 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl813,zip_derived_cl3131]) ).
thf(zip_derived_cl92_2636,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl812_2637,plain,
( ( sum @ n23 @ n5 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_2638,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_2639,plain,
( ( sum @ n5 @ n27 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15105,plain,
( ( sk__2
= ( sum @ n28 @ n1 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15103,zip_derived_cl92,zip_derived_cl812,zip_derived_cl91,zip_derived_cl276]) ).
thf(zip_derived_cl963_2640,plain,
( ( sum @ n28 @ n1 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16107,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n23 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15105,zip_derived_cl963]) ).
thf(zip_derived_cl1_2641,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('390',plain,
( ( sk__1 != n5 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16107,zip_derived_cl1]) ).
thf(zip_derived_cl937_2642,plain,
( ( sum @ n27 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_2643,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2644,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3135,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n27 @ n5 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl3103]) ).
thf(zip_derived_cl15921,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n5 @ ( pred @ ( sum @ n27 @ n5 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl937,zip_derived_cl3135]) ).
thf(zip_derived_cl65_2645,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl936_2646,plain,
( ( sum @ n27 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2647,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_2648,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_2649,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15923,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n27 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15921,zip_derived_cl65,zip_derived_cl936,zip_derived_cl64,zip_derived_cl249,zip_derived_cl130]) ).
thf(zip_derived_cl24_2650,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('391',plain,
( ( sk__1 != n5 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15923,zip_derived_cl24]) ).
thf(zip_derived_cl782_2651,plain,
( ( sum @ n22 @ n6 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_2652,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2653,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3130,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n22 @ n5 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl3103]) ).
thf(zip_derived_cl14942,plain,
( ( sk__2
= ( sum @ ( pred @ n28 ) @ ( sum @ n5 @ ( pred @ ( sum @ n22 @ n5 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl782,zip_derived_cl3130]) ).
thf(zip_derived_cl91_2654,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl781_2655,plain,
( ( sum @ n22 @ n5 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2656,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_2657,plain,
( ( sum @ n5 @ n26 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14944,plain,
( ( sk__2
= ( sum @ n27 @ n0 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14942,zip_derived_cl91,zip_derived_cl781,zip_derived_cl90,zip_derived_cl275]) ).
thf(zip_derived_cl931_2658,plain,
( ( sum @ n27 @ n0 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15863,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n22 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14944,zip_derived_cl931]) ).
thf(zip_derived_cl3_2659,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('392',plain,
( ( sk__1 != n5 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15863,zip_derived_cl3]) ).
thf(zip_derived_cl751_2660,plain,
( ( sum @ n21 @ n6 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_2661,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2662,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3129,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n21 @ n5 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl3103]) ).
thf(zip_derived_cl14747,plain,
( ( sk__2
= ( sum @ ( pred @ n27 ) @ ( sum @ n5 @ ( pred @ ( sum @ n21 @ n5 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl751,zip_derived_cl3129]) ).
thf(zip_derived_cl90_2663,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl750_2664,plain,
( ( sum @ n21 @ n5 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_2665,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_2666,plain,
( ( sum @ n5 @ n25 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14749,plain,
( ( sk__2
= ( sum @ n26 @ n30 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14747,zip_derived_cl90,zip_derived_cl750,zip_derived_cl89,zip_derived_cl274]) ).
thf(zip_derived_cl930_2667,plain,
( ( sum @ n26 @ n30 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15854,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n21 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14749,zip_derived_cl930]) ).
thf(zip_derived_cl5_2668,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('393',plain,
( ( sk__1 != n5 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15854,zip_derived_cl5]) ).
thf(zip_derived_cl906_2669,plain,
( ( sum @ n26 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_2670,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2671,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3134,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n26 @ n5 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl3103]) ).
thf(zip_derived_cl15692,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n5 @ ( pred @ ( sum @ n26 @ n5 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl906,zip_derived_cl3134]) ).
thf(zip_derived_cl64_2672,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl905_2673,plain,
( ( sum @ n26 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2674,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_2675,plain,
( ( sum @ n5 @ n30 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_2676,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15694,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n26 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15692,zip_derived_cl64,zip_derived_cl905,zip_derived_cl63,zip_derived_cl279,zip_derived_cl98]) ).
thf(zip_derived_cl26_2677,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('394',plain,
( ( sk__1 != n5 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15694,zip_derived_cl26]) ).
thf(zip_derived_cl720_2678,plain,
( ( sum @ n20 @ n6 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_2679,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2680,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3128,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n20 @ n5 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl3103]) ).
thf(zip_derived_cl14610,plain,
( ( sk__2
= ( sum @ ( pred @ n26 ) @ ( sum @ n5 @ ( pred @ ( sum @ n20 @ n5 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl720,zip_derived_cl3128]) ).
thf(zip_derived_cl89_2681,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_2682,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2683,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_2684,plain,
( ( sum @ n5 @ n24 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14612,plain,
( ( sk__2
= ( sum @ n25 @ n29 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14610,zip_derived_cl89,zip_derived_cl719,zip_derived_cl88,zip_derived_cl273]) ).
thf(zip_derived_cl898_2685,plain,
( ( sum @ n25 @ n29 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15633,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14612,zip_derived_cl898]) ).
thf(zip_derived_cl7_2686,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('395',plain,
( ( sk__1 != n5 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15633,zip_derived_cl7]) ).
thf(zip_derived_cl689_2687,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_2688,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2689,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3127,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n19 @ n5 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl3103]) ).
thf(zip_derived_cl14413,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n5 @ ( pred @ ( sum @ n19 @ n5 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl689,zip_derived_cl3127]) ).
thf(zip_derived_cl88_2690,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl688_2691,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2692,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_2693,plain,
( ( sum @ n5 @ n23 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14416,plain,
( ( sk__2
= ( sum @ n24 @ n28 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14413,zip_derived_cl88,zip_derived_cl688,zip_derived_cl87,zip_derived_cl272]) ).
thf(zip_derived_cl866_2694,plain,
( ( sum @ n24 @ n28 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15440,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14416,zip_derived_cl866]) ).
thf(zip_derived_cl9_2695,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('396',plain,
( ( sk__1 != n5 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15440,zip_derived_cl9]) ).
thf(zip_derived_cl658_2696,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_2697,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2698,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3126,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n18 @ n5 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl3103]) ).
thf(zip_derived_cl14286,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n5 @ ( pred @ ( sum @ n18 @ n5 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl658,zip_derived_cl3126]) ).
thf(zip_derived_cl87_2699,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657_2700,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2701,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_2702,plain,
( ( sum @ n5 @ n22 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14288,plain,
( ( sk__2
= ( sum @ n23 @ n27 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14286,zip_derived_cl87,zip_derived_cl657,zip_derived_cl86,zip_derived_cl271]) ).
thf(zip_derived_cl834_2703,plain,
( ( sum @ n23 @ n27 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15211,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14288,zip_derived_cl834]) ).
thf(zip_derived_cl11_2704,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('397',plain,
( ( sk_ != n18 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15211,zip_derived_cl11]) ).
thf(zip_derived_cl627_2705,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_2706,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2707,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3125,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n17 @ n5 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl3103]) ).
thf(zip_derived_cl14173,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n5 @ ( pred @ ( sum @ n17 @ n5 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl3125]) ).
thf(zip_derived_cl86_2708,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_2709,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2710,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_2711,plain,
( ( sum @ n5 @ n21 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14174,plain,
( ( sk__2
= ( sum @ n22 @ n26 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14173,zip_derived_cl86,zip_derived_cl626,zip_derived_cl85,zip_derived_cl270]) ).
thf(zip_derived_cl802_2712,plain,
( ( sum @ n22 @ n26 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15054,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14174,zip_derived_cl802]) ).
thf(zip_derived_cl13_2713,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('398',plain,
( ( sk__1 != n5 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15054,zip_derived_cl13]) ).
thf(zip_derived_cl1538_2714,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2715,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3124,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n16 @ n5 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl3103]) ).
thf(zip_derived_cl596_2716,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2717,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl595_2718,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2719,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_2720,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14107,plain,
( ( sk__2
= ( sum @ n21 @ n25 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3124,zip_derived_cl596,zip_derived_cl85,zip_derived_cl595,zip_derived_cl84,zip_derived_cl269]) ).
thf(zip_derived_cl770_2721,plain,
( ( sum @ n21 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14858,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14107,zip_derived_cl770]) ).
thf(zip_derived_cl15_2722,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('399',plain,
( ( sk__1 != n5 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14858,zip_derived_cl15]) ).
thf(zip_derived_cl1537_2723,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2724,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3123,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n15 @ n5 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl3103]) ).
thf(zip_derived_cl565_2725,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2726,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl564_2727,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2728,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_2729,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14106,plain,
( ( sk__2
= ( sum @ n20 @ n24 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3123,zip_derived_cl565,zip_derived_cl84,zip_derived_cl564,zip_derived_cl83,zip_derived_cl268]) ).
thf(zip_derived_cl738_2730,plain,
( ( sum @ n20 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14687,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14106,zip_derived_cl738]) ).
thf(zip_derived_cl17_2731,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('400',plain,
( ( sk__1 != n5 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14687,zip_derived_cl17]) ).
thf(zip_derived_cl1536_2732,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2733,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3122,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n14 @ n5 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl3103]) ).
thf(zip_derived_cl534_2734,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2735,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533_2736,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2737,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_2738,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14105,plain,
( ( sk__2
= ( sum @ n19 @ n23 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3122,zip_derived_cl534,zip_derived_cl83,zip_derived_cl533,zip_derived_cl82,zip_derived_cl267]) ).
thf(zip_derived_cl706_2739,plain,
( ( sum @ n19 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14523,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14105,zip_derived_cl706]) ).
thf(zip_derived_cl19_2740,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('401',plain,
( ( sk__1 != n5 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14523,zip_derived_cl19]) ).
thf(zip_derived_cl1535_2741,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2742,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3121,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n13 @ n5 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl3103]) ).
thf(zip_derived_cl503_2743,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2744,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_2745,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2746,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_2747,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14104,plain,
( ( sk__2
= ( sum @ n18 @ n22 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3121,zip_derived_cl503,zip_derived_cl82,zip_derived_cl502,zip_derived_cl81,zip_derived_cl266]) ).
thf(zip_derived_cl674_2748,plain,
( ( sum @ n18 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14351,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14104,zip_derived_cl674]) ).
thf(zip_derived_cl21_2749,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('402',plain,
( ( sk__1 != n5 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14351,zip_derived_cl21]) ).
thf(zip_derived_cl1534_2750,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2751,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3120,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n12 @ n5 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl3103]) ).
thf(zip_derived_cl472_2752,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2753,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_2754,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2755,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_2756,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14101,plain,
( ( sk__2
= ( sum @ n17 @ n21 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3120,zip_derived_cl472,zip_derived_cl81,zip_derived_cl471,zip_derived_cl80,zip_derived_cl265]) ).
thf(zip_derived_cl642_2757,plain,
( ( sum @ n17 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14223,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14101,zip_derived_cl642]) ).
thf(zip_derived_cl23_2758,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('403',plain,
( ( sk__1 != n5 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14223,zip_derived_cl23]) ).
thf(zip_derived_cl1533_2759,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2760,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3119,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n11 @ n5 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl3103]) ).
thf(zip_derived_cl441_2761,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2762,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_2763,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2764,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_2765,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14100,plain,
( ( sk__2
= ( sum @ n16 @ n20 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3119,zip_derived_cl441,zip_derived_cl80,zip_derived_cl440,zip_derived_cl79,zip_derived_cl264]) ).
thf(zip_derived_cl610_2766,plain,
( ( sum @ n16 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14112,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14100,zip_derived_cl610]) ).
thf(zip_derived_cl25_2767,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('404',plain,
( ( sk_ != n11 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14112,zip_derived_cl25]) ).
thf(zip_derived_cl1532_2768,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2769,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3118,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n10 @ n5 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl3103]) ).
thf(zip_derived_cl410_2770,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2771,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_2772,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2773,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_2774,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_2775,plain,
( ( sum @ n15 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14098,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3118,zip_derived_cl410,zip_derived_cl79,zip_derived_cl409,zip_derived_cl78,zip_derived_cl263,zip_derived_cl578]) ).
thf(zip_derived_cl27_2776,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('405',plain,
( ( sk__1 != n5 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14098,zip_derived_cl27]) ).
thf(zip_derived_cl1531_2777,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2778,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3117,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n9 @ n5 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl3103]) ).
thf(zip_derived_cl379_2779,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2780,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_2781,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2782,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_2783,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_2784,plain,
( ( sum @ n14 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14094,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3117,zip_derived_cl379,zip_derived_cl78,zip_derived_cl378,zip_derived_cl77,zip_derived_cl262,zip_derived_cl546]) ).
thf(zip_derived_cl29_2785,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('406',plain,
( ( sk__1 != n5 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14094,zip_derived_cl29]) ).
thf(zip_derived_cl1530_2786,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2787,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3116,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n8 @ n5 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl3103]) ).
thf(zip_derived_cl348_2788,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2789,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_2790,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2791,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_2792,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_2793,plain,
( ( sum @ n13 @ n17 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14092,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3116,zip_derived_cl348,zip_derived_cl77,zip_derived_cl347,zip_derived_cl76,zip_derived_cl261,zip_derived_cl514]) ).
thf(zip_derived_cl0_2794,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('407',plain,
( ( sk__1 != n5 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14092,zip_derived_cl0]) ).
thf(zip_derived_cl1529_2795,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2796,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3115,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n7 @ n5 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl3103]) ).
thf(zip_derived_cl317_2797,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2798,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_2799,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2800,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_2801,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_2802,plain,
( ( sum @ n12 @ n16 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14090,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3115,zip_derived_cl317,zip_derived_cl76,zip_derived_cl316,zip_derived_cl75,zip_derived_cl260,zip_derived_cl482]) ).
thf(zip_derived_cl2_2803,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('408',plain,
( ( sk__1 != n5 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14090,zip_derived_cl2]) ).
thf(zip_derived_cl1525_2804,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3103_2805,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl37]) ).
thf(zip_derived_cl3111,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ n3 @ n5 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl3103]) ).
thf(zip_derived_cl193_2806,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2807,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_2808,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2809,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_2810,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_2811,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14080,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n3 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3111,zip_derived_cl193,zip_derived_cl72,zip_derived_cl192,zip_derived_cl71,zip_derived_cl256,zip_derived_cl354]) ).
thf(zip_derived_cl10_2812,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('409',plain,
( ( sk__1 != n5 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14080,zip_derived_cl10]) ).
thf(zip_derived_cl1530_2813,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_2814,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9436,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n8 @ n30 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl9427]) ).
thf(zip_derived_cl342,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2815,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_2816,plain,
( ( sum @ n8 @ n30 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2817,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1030_2818,plain,
( ( sum @ n30 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_2819,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20728,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n8 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9436,zip_derived_cl342,zip_derived_cl71,zip_derived_cl372,zip_derived_cl70,zip_derived_cl1030,zip_derived_cl316]) ).
thf(zip_derived_cl18_2820,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('410',plain,
( ( sk_ != n8 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20728,zip_derived_cl18]) ).
thf(zip_derived_cl1530_2821,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_2822,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9371,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n8 @ n29 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl9362]) ).
thf(zip_derived_cl372_2823,plain,
( ( sum @ n8 @ n30 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2824,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_2825,plain,
( ( sum @ n8 @ n29 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2826,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl998_2827,plain,
( ( sum @ n29 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_2828,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20590,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n8 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9371,zip_derived_cl372,zip_derived_cl70,zip_derived_cl371,zip_derived_cl69,zip_derived_cl998,zip_derived_cl283]) ).
thf(zip_derived_cl21_2829,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('411',plain,
( ( sk_ != n8 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20590,zip_derived_cl21]) ).
thf(zip_derived_cl1530_2830,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_2831,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9151,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n8 @ n26 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl9142]) ).
thf(zip_derived_cl369_2832,plain,
( ( sum @ n8 @ n27 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2833,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368,plain,
( ( sum @ n8 @ n26 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2834,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl902_2835,plain,
( ( sum @ n26 @ n2 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_2836,plain,
( ( sum @ n3 @ n28 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20182,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n8 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9151,zip_derived_cl369,zip_derived_cl67,zip_derived_cl368,zip_derived_cl66,zip_derived_cl902,zip_derived_cl215]) ).
thf(zip_derived_cl30_2837,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('412',plain,
( ( sk_ != n8 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20182,zip_derived_cl30]) ).
thf(zip_derived_cl1530_2838,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_2839,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9086,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n8 @ n25 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl9077]) ).
thf(zip_derived_cl368_2840,plain,
( ( sum @ n8 @ n26 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2841,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367,plain,
( ( sum @ n8 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2842,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl870_2843,plain,
( ( sum @ n25 @ n1 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_2844,plain,
( ( sum @ n2 @ n26 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20046,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n8 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9086,zip_derived_cl368,zip_derived_cl66,zip_derived_cl367,zip_derived_cl65,zip_derived_cl870,zip_derived_cl182]) ).
thf(zip_derived_cl2_2845,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('413',plain,
( ( sk_ != n8 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20046,zip_derived_cl2]) ).
thf(zip_derived_cl1530_2846,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_2847,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9021,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n8 @ n24 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl9012]) ).
thf(zip_derived_cl367_2848,plain,
( ( sum @ n8 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2849,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_2850,plain,
( ( sum @ n8 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2851,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl838,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_2852,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19908,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n8 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9021,zip_derived_cl367,zip_derived_cl65,zip_derived_cl366,zip_derived_cl64,zip_derived_cl838,zip_derived_cl149]) ).
thf(zip_derived_cl5_2853,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('414',plain,
( ( sk_ != n8 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19908,zip_derived_cl5]) ).
thf(zip_derived_cl1530_2854,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_2855,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8891,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n8 @ n22 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8882]) ).
thf(zip_derived_cl365_2856,plain,
( ( sum @ n8 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2857,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364,plain,
( ( sum @ n8 @ n22 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2858,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl805_2859,plain,
( ( sum @ n22 @ n29 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1044,plain,
( ( sum @ n30 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19636,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n8 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8891,zip_derived_cl365,zip_derived_cl63,zip_derived_cl364,zip_derived_cl93,zip_derived_cl805,zip_derived_cl1044]) ).
thf(zip_derived_cl11_2860,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('415',plain,
( ( sk_ != n8 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19636,zip_derived_cl11]) ).
thf(zip_derived_cl1530_2861,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_2862,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8823,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n8 @ n21 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8814]) ).
thf(zip_derived_cl364_2863,plain,
( ( sum @ n8 @ n22 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_2864,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363,plain,
( ( sum @ n8 @ n21 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2865,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl773_2866,plain,
( ( sum @ n21 @ n28 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1011_2867,plain,
( ( sum @ n29 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19500,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n8 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8823,zip_derived_cl364,zip_derived_cl93,zip_derived_cl363,zip_derived_cl92,zip_derived_cl773,zip_derived_cl1011]) ).
thf(zip_derived_cl14_2868,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('416',plain,
( ( sk_ != n8 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19500,zip_derived_cl14]) ).
thf(zip_derived_cl1530_2869,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_2870,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8747,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n8 @ n20 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8738]) ).
thf(zip_derived_cl363_2871,plain,
( ( sum @ n8 @ n21 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_2872,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362,plain,
( ( sum @ n8 @ n20 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_2873,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741_2874,plain,
( ( sum @ n20 @ n27 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl978_2875,plain,
( ( sum @ n28 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19364,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n8 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8747,zip_derived_cl363,zip_derived_cl92,zip_derived_cl362,zip_derived_cl91,zip_derived_cl741,zip_derived_cl978]) ).
thf(zip_derived_cl17_2876,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('417',plain,
( ( sk_ != n8 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19364,zip_derived_cl17]) ).
thf(zip_derived_cl1530_2877,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_2878,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8682,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n8 @ n19 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8673]) ).
thf(zip_derived_cl362_2879,plain,
( ( sum @ n8 @ n20 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_2880,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361,plain,
( ( sum @ n8 @ n19 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2881,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709,plain,
( ( sum @ n19 @ n26 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl945_2882,plain,
( ( sum @ n27 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19226,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n8 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8682,zip_derived_cl362,zip_derived_cl91,zip_derived_cl361,zip_derived_cl90,zip_derived_cl709,zip_derived_cl945]) ).
thf(zip_derived_cl20_2883,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('418',plain,
( ( sk_ != n8 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19226,zip_derived_cl20]) ).
thf(zip_derived_cl1530_2884,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_2885,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8607,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n8 @ n18 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8598]) ).
thf(zip_derived_cl361_2886,plain,
( ( sum @ n8 @ n19 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_2887,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360,plain,
( ( sum @ n8 @ n18 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_2888,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677,plain,
( ( sum @ n18 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl912,plain,
( ( sum @ n26 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19090,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n8 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8607,zip_derived_cl361,zip_derived_cl90,zip_derived_cl360,zip_derived_cl89,zip_derived_cl677,zip_derived_cl912]) ).
thf(zip_derived_cl23_2889,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('419',plain,
( ( sk_ != n8 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19090,zip_derived_cl23]) ).
thf(zip_derived_cl1530_2890,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_2891,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8538,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n8 @ n17 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8529]) ).
thf(zip_derived_cl360_2892,plain,
( ( sum @ n8 @ n18 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_2893,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_2894,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2895,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645_2896,plain,
( ( sum @ n17 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl879,plain,
( ( sum @ n25 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18954,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n8 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8538,zip_derived_cl360,zip_derived_cl89,zip_derived_cl359,zip_derived_cl88,zip_derived_cl645,zip_derived_cl879]) ).
thf(zip_derived_cl26_2897,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('420',plain,
( ( sk_ != n8 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18954,zip_derived_cl26]) ).
thf(zip_derived_cl1530_2898,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_2899,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8470,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n8 @ n16 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8461]) ).
thf(zip_derived_cl359_2900,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_2901,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2902,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613_2903,plain,
( ( sum @ n16 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl846,plain,
( ( sum @ n24 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18818,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n8 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8470,zip_derived_cl359,zip_derived_cl88,zip_derived_cl358,zip_derived_cl87,zip_derived_cl613,zip_derived_cl846]) ).
thf(zip_derived_cl29_2904,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('421',plain,
( ( sk_ != n8 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18818,zip_derived_cl29]) ).
thf(zip_derived_cl1530_2905,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_2906,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8405,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n8 @ n15 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8396]) ).
thf(zip_derived_cl358_2907,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_2908,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_2909,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2910,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581,plain,
( ( sum @ n15 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl813_2911,plain,
( ( sum @ n23 @ n6 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18682,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n8 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8405,zip_derived_cl358,zip_derived_cl87,zip_derived_cl357,zip_derived_cl86,zip_derived_cl581,zip_derived_cl813]) ).
thf(zip_derived_cl1_2912,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('422',plain,
( ( sk_ != n8 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18682,zip_derived_cl1]) ).
thf(zip_derived_cl1530_2913,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_2914,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8326,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n8 @ n14 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8317]) ).
thf(zip_derived_cl357_2915,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2916,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_2917,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2918,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549_2919,plain,
( ( sum @ n14 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl780_2920,plain,
( ( sum @ n22 @ n4 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18544,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n8 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8326,zip_derived_cl357,zip_derived_cl86,zip_derived_cl356,zip_derived_cl85,zip_derived_cl549,zip_derived_cl780]) ).
thf(zip_derived_cl4_2921,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('423',plain,
( ( sk_ != n8 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18544,zip_derived_cl4]) ).
thf(zip_derived_cl1530_2922,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_2923,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8261,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n8 @ n13 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8252]) ).
thf(zip_derived_cl356_2924,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2925,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_2926,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2927,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517_2928,plain,
( ( sum @ n13 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747_2929,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18408,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n8 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8261,zip_derived_cl356,zip_derived_cl85,zip_derived_cl355,zip_derived_cl84,zip_derived_cl517,zip_derived_cl747]) ).
thf(zip_derived_cl7_2930,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('424',plain,
( ( sk_ != n8 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18408,zip_derived_cl7]) ).
thf(zip_derived_cl1530_2931,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_2932,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8191,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n8 @ n12 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl8182]) ).
thf(zip_derived_cl355_2933,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2934,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_2935,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2936,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485_2937,plain,
( ( sum @ n12 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18272,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n8 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8191,zip_derived_cl355,zip_derived_cl84,zip_derived_cl354,zip_derived_cl83,zip_derived_cl485,zip_derived_cl714]) ).
thf(zip_derived_cl10_2938,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('425',plain,
( ( sk_ != n8 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18272,zip_derived_cl10]) ).
thf(zip_derived_cl1530_2939,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_2940,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n8 @ n11 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl5421]) ).
thf(zip_derived_cl354_2941,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_2942,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_2943,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2944,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453,plain,
( ( sum @ n11 @ n18 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl712_2945,plain,
( ( sum @ n19 @ n29 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16060,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n8 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5430,zip_derived_cl354,zip_derived_cl83,zip_derived_cl353,zip_derived_cl82,zip_derived_cl453,zip_derived_cl712]) ).
thf(zip_derived_cl13_2946,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('426',plain,
( ( sk_ != n8 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16060,zip_derived_cl13]) ).
thf(zip_derived_cl1530_2947,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_2948,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4989,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n8 @ n10 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl4980]) ).
thf(zip_derived_cl353_2949,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2950,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_2951,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2952,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_2953,plain,
( ( sum @ n10 @ n17 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679_2954,plain,
( ( sum @ n18 @ n27 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15541,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n8 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4989,zip_derived_cl353,zip_derived_cl82,zip_derived_cl352,zip_derived_cl81,zip_derived_cl421,zip_derived_cl679]) ).
thf(zip_derived_cl16_2955,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('427',plain,
( ( sk_ != n8 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15541,zip_derived_cl16]) ).
thf(zip_derived_cl1530_2956,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_2957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4546,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n8 @ n9 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl4537]) ).
thf(zip_derived_cl352_2958,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_2959,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_2960,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2961,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_2962,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646,plain,
( ( sum @ n17 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15015,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n8 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4546,zip_derived_cl352,zip_derived_cl81,zip_derived_cl351,zip_derived_cl80,zip_derived_cl389,zip_derived_cl646]) ).
thf(zip_derived_cl19_2963,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('428',plain,
( ( sk_ != n8 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15015,zip_derived_cl19]) ).
thf(zip_derived_cl1530_2964,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_2965,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4096,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n8 @ n8 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl4087]) ).
thf(zip_derived_cl351_2966,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_2967,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350_2968,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2969,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_2970,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613_2971,plain,
( ( sum @ n16 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14631,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n8 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4096,zip_derived_cl351,zip_derived_cl80,zip_derived_cl350,zip_derived_cl79,zip_derived_cl357,zip_derived_cl613]) ).
thf(zip_derived_cl22_2972,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('429',plain,
( ( sk_ != n8 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14631,zip_derived_cl22]) ).
thf(zip_derived_cl1530_2973,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_2974,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3675,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n8 @ n7 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl3666]) ).
thf(zip_derived_cl350_2975,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_2976,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349_2977,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2978,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580,plain,
( ( sum @ n15 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14303,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n8 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3675,zip_derived_cl350,zip_derived_cl79,zip_derived_cl349,zip_derived_cl78,zip_derived_cl325,zip_derived_cl580]) ).
thf(zip_derived_cl25_2979,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('430',plain,
( ( sk_ != n8 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14303,zip_derived_cl25]) ).
thf(zip_derived_cl1530_2980,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_2981,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2943,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n8 @ n3 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl2932]) ).
thf(zip_derived_cl346_2982,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2983,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_2984,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2985,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13921,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2943,zip_derived_cl346,zip_derived_cl75,zip_derived_cl345,zip_derived_cl74,zip_derived_cl197,zip_derived_cl448]) ).
thf(zip_derived_cl6_2986,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('431',plain,
( ( sk_ != n8 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13921,zip_derived_cl6]) ).
thf(zip_derived_cl1530_2987,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_2988,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2736,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n8 @ n0 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl2727]) ).
thf(zip_derived_cl343_2989,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2990,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_2991,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2992,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_2993,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349_2994,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13734,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2736,zip_derived_cl343,zip_derived_cl72,zip_derived_cl342,zip_derived_cl71,zip_derived_cl101,zip_derived_cl349]) ).
thf(zip_derived_cl15_2995,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('432',plain,
( ( sk_ != n8 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13734,zip_derived_cl15]) ).
thf(zip_derived_cl1548_2996,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_2997,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8423,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n26 @ n15 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8396]) ).
thf(zip_derived_cl916_2998,plain,
( ( sum @ n26 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2999,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl915_3000,plain,
( ( sum @ n26 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3001,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl568,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_3002,plain,
( ( sum @ n10 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18720,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n26 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8423,zip_derived_cl916,zip_derived_cl74,zip_derived_cl915,zip_derived_cl73,zip_derived_cl568,zip_derived_cl428]) ).
thf(zip_derived_cl27_3003,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('433',plain,
( ( sk__1 != n15 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18720,zip_derived_cl27]) ).
thf(zip_derived_cl1547_3004,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3005,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8422,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n25 @ n15 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8396]) ).
thf(zip_derived_cl885_3006,plain,
( ( sum @ n25 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3007,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl884,plain,
( ( sum @ n25 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3008,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_3009,plain,
( ( sum @ n9 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18718,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n25 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8422,zip_derived_cl885,zip_derived_cl73,zip_derived_cl884,zip_derived_cl72,zip_derived_cl567,zip_derived_cl396]) ).
thf(zip_derived_cl29_3010,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('434',plain,
( ( sk__1 != n15 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18718,zip_derived_cl29]) ).
thf(zip_derived_cl1546_3011,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3012,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8421,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n24 @ n15 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8396]) ).
thf(zip_derived_cl854_3013,plain,
( ( sum @ n24 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3014,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl853_3015,plain,
( ( sum @ n24 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3016,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl566_3017,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_3018,plain,
( ( sum @ n8 @ n22 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18716,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n24 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8421,zip_derived_cl854,zip_derived_cl72,zip_derived_cl853,zip_derived_cl71,zip_derived_cl566,zip_derived_cl364]) ).
thf(zip_derived_cl0_3019,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('435',plain,
( ( sk__1 != n15 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18716,zip_derived_cl0]) ).
thf(zip_derived_cl1545_3020,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3021,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8420,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n23 @ n15 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8396]) ).
thf(zip_derived_cl823_3022,plain,
( ( sum @ n23 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3023,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl822_3024,plain,
( ( sum @ n23 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3025,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl565_3026,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332,plain,
( ( sum @ n7 @ n21 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18714,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n23 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8420,zip_derived_cl823,zip_derived_cl71,zip_derived_cl822,zip_derived_cl70,zip_derived_cl565,zip_derived_cl332]) ).
thf(zip_derived_cl2_3027,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('436',plain,
( ( sk__1 != n15 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18714,zip_derived_cl2]) ).
thf(zip_derived_cl1544_3028,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3029,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8419,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n22 @ n15 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8396]) ).
thf(zip_derived_cl792,plain,
( ( sum @ n22 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3030,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl791,plain,
( ( sum @ n22 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3031,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl564_3032,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_3033,plain,
( ( sum @ n6 @ n20 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18712,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n22 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8419,zip_derived_cl792,zip_derived_cl70,zip_derived_cl791,zip_derived_cl69,zip_derived_cl564,zip_derived_cl300]) ).
thf(zip_derived_cl4_3034,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('437',plain,
( ( sk__1 != n15 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18712,zip_derived_cl4]) ).
thf(zip_derived_cl1543_3035,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3036,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8418,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n21 @ n15 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8396]) ).
thf(zip_derived_cl761_3037,plain,
( ( sum @ n21 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3038,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl760,plain,
( ( sum @ n21 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3039,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563_3040,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_3041,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18710,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n21 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8418,zip_derived_cl761,zip_derived_cl69,zip_derived_cl760,zip_derived_cl68,zip_derived_cl563,zip_derived_cl268]) ).
thf(zip_derived_cl6_3042,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('438',plain,
( ( sk__1 != n15 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18710,zip_derived_cl6]) ).
thf(zip_derived_cl1542_3043,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3044,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8417,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n20 @ n15 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8396]) ).
thf(zip_derived_cl730_3045,plain,
( ( sum @ n20 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3046,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_3047,plain,
( ( sum @ n20 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3048,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562_3049,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_3050,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18708,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n20 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8417,zip_derived_cl730,zip_derived_cl68,zip_derived_cl729,zip_derived_cl67,zip_derived_cl562,zip_derived_cl236]) ).
thf(zip_derived_cl8_3051,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('439',plain,
( ( sk__1 != n15 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18708,zip_derived_cl8]) ).
thf(zip_derived_cl1541_3052,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3053,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8416,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n19 @ n15 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8396]) ).
thf(zip_derived_cl699_3054,plain,
( ( sum @ n19 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3055,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698_3056,plain,
( ( sum @ n19 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3057,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561_3058,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18706,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n19 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8416,zip_derived_cl699,zip_derived_cl67,zip_derived_cl698,zip_derived_cl66,zip_derived_cl561,zip_derived_cl204]) ).
thf(zip_derived_cl10_3059,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('440',plain,
( ( sk__1 != n15 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18706,zip_derived_cl10]) ).
thf(zip_derived_cl1540_3060,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3061,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8415,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n18 @ n15 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8396]) ).
thf(zip_derived_cl668,plain,
( ( sum @ n18 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3062,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667_3063,plain,
( ( sum @ n18 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3064,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560_3065,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_3066,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18704,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n18 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8415,zip_derived_cl668,zip_derived_cl66,zip_derived_cl667,zip_derived_cl65,zip_derived_cl560,zip_derived_cl172]) ).
thf(zip_derived_cl12_3067,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('441',plain,
( ( sk_ != n18 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18704,zip_derived_cl12]) ).
thf(zip_derived_cl1539_3068,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3069,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8414,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n17 @ n15 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8396]) ).
thf(zip_derived_cl637_3070,plain,
( ( sum @ n17 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3071,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636,plain,
( ( sum @ n17 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3072,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559_3073,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_3074,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18700,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n17 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8414,zip_derived_cl637,zip_derived_cl65,zip_derived_cl636,zip_derived_cl64,zip_derived_cl559,zip_derived_cl140]) ).
thf(zip_derived_cl14_3075,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('442',plain,
( ( sk__1 != n15 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18700,zip_derived_cl14]) ).
thf(zip_derived_cl1538_3076,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3077,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8413,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n16 @ n15 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8396]) ).
thf(zip_derived_cl606_3078,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3079,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl605_3080,plain,
( ( sum @ n16 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3081,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589,plain,
( ( sum @ n15 @ n30 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_3082,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18698,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n16 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8413,zip_derived_cl606,zip_derived_cl64,zip_derived_cl605,zip_derived_cl63,zip_derived_cl589,zip_derived_cl108]) ).
thf(zip_derived_cl16_3083,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('443',plain,
( ( sk__1 != n15 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18698,zip_derived_cl16]) ).
thf(zip_derived_cl1537_3084,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3085,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8412,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n15 @ n15 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8396]) ).
thf(zip_derived_cl575_3086,plain,
( ( sum @ n15 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3087,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_3088,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3089,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588_3090,plain,
( ( sum @ n15 @ n29 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1037,plain,
( ( sum @ n30 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18696,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n15 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8412,zip_derived_cl575,zip_derived_cl63,zip_derived_cl574,zip_derived_cl93,zip_derived_cl588,zip_derived_cl1037]) ).
thf(zip_derived_cl18_3091,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('444',plain,
( ( sk__1 != n15 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18696,zip_derived_cl18]) ).
thf(zip_derived_cl1536_3092,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3093,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8411,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n14 @ n15 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8396]) ).
thf(zip_derived_cl544,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3094,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl543_3095,plain,
( ( sum @ n14 @ n15 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3096,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587_3097,plain,
( ( sum @ n15 @ n28 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1005_3098,plain,
( ( sum @ n29 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18694,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n14 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8411,zip_derived_cl544,zip_derived_cl93,zip_derived_cl543,zip_derived_cl92,zip_derived_cl587,zip_derived_cl1005]) ).
thf(zip_derived_cl20_3099,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('445',plain,
( ( sk__1 != n15 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18694,zip_derived_cl20]) ).
thf(zip_derived_cl1535_3100,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3101,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8410,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n13 @ n15 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8396]) ).
thf(zip_derived_cl513_3102,plain,
( ( sum @ n13 @ n16 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3103,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3104,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586_3105,plain,
( ( sum @ n15 @ n27 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl973_3106,plain,
( ( sum @ n28 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18692,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n13 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8410,zip_derived_cl513,zip_derived_cl92,zip_derived_cl512,zip_derived_cl91,zip_derived_cl586,zip_derived_cl973]) ).
thf(zip_derived_cl22_3107,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('446',plain,
( ( sk__1 != n15 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18692,zip_derived_cl22]) ).
thf(zip_derived_cl1534_3108,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3109,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8409,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n12 @ n15 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8396]) ).
thf(zip_derived_cl482_3110,plain,
( ( sum @ n12 @ n16 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3111,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481_3112,plain,
( ( sum @ n12 @ n15 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3113,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585,plain,
( ( sum @ n15 @ n26 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl941_3114,plain,
( ( sum @ n27 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18690,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n12 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8409,zip_derived_cl482,zip_derived_cl91,zip_derived_cl481,zip_derived_cl90,zip_derived_cl585,zip_derived_cl941]) ).
thf(zip_derived_cl24_3115,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('447',plain,
( ( sk__1 != n15 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18690,zip_derived_cl24]) ).
thf(zip_derived_cl1533_3116,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3117,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8408,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n11 @ n15 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8396]) ).
thf(zip_derived_cl451_3118,plain,
( ( sum @ n11 @ n16 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3119,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_3120,plain,
( ( sum @ n11 @ n15 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3121,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584_3122,plain,
( ( sum @ n15 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl909,plain,
( ( sum @ n26 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18688,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n11 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8408,zip_derived_cl451,zip_derived_cl90,zip_derived_cl450,zip_derived_cl89,zip_derived_cl584,zip_derived_cl909]) ).
thf(zip_derived_cl26_3123,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('448',plain,
( ( sk_ != n11 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18688,zip_derived_cl26]) ).
thf(zip_derived_cl1532_3124,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3125,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8407,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n10 @ n15 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8396]) ).
thf(zip_derived_cl420,plain,
( ( sum @ n10 @ n16 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3126,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_3127,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3128,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583_3129,plain,
( ( sum @ n15 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl877,plain,
( ( sum @ n25 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18686,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n10 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8407,zip_derived_cl420,zip_derived_cl89,zip_derived_cl419,zip_derived_cl88,zip_derived_cl583,zip_derived_cl877]) ).
thf(zip_derived_cl28_3130,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('449',plain,
( ( sk__1 != n15 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18686,zip_derived_cl28]) ).
thf(zip_derived_cl1531_3131,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3132,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8406,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n9 @ n15 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8396]) ).
thf(zip_derived_cl389_3133,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3134,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_3135,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3136,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582_3137,plain,
( ( sum @ n15 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl845_3138,plain,
( ( sum @ n24 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18684,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n9 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8406,zip_derived_cl389,zip_derived_cl88,zip_derived_cl388,zip_derived_cl87,zip_derived_cl582,zip_derived_cl845]) ).
thf(zip_derived_cl30_3139,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('450',plain,
( ( sk__1 != n15 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18684,zip_derived_cl30]) ).
thf(zip_derived_cl1529_3140,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3141,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8404,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n7 @ n15 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8396]) ).
thf(zip_derived_cl327,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_3142,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3143,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_3144,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580_3145,plain,
( ( sum @ n15 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl781_3146,plain,
( ( sum @ n22 @ n5 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18678,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n7 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8404,zip_derived_cl327,zip_derived_cl86,zip_derived_cl326,zip_derived_cl85,zip_derived_cl580,zip_derived_cl781]) ).
thf(zip_derived_cl3_3147,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('451',plain,
( ( sk__1 != n15 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18678,zip_derived_cl3]) ).
thf(zip_derived_cl1525_3148,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8396_3149,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl2286,zip_derived_cl47]) ).
thf(zip_derived_cl8400,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n3 @ n15 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8396]) ).
thf(zip_derived_cl203,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3150,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3151,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653_3152,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18670,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n3 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8400,zip_derived_cl203,zip_derived_cl82,zip_derived_cl202,zip_derived_cl81,zip_derived_cl576,zip_derived_cl653]) ).
thf(zip_derived_cl11_3153,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('452',plain,
( ( sk__1 != n15 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18670,zip_derived_cl11]) ).
thf(zip_derived_cl1568_3154,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1552_3155,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_3156,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2180,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n30 @ sk__1 ) ) ) ) )
<= ( sk_ = n30 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl31]) ).
thf(zip_derived_cl7956,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ ( succ @ n15 ) ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n30 @ n15 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1568,zip_derived_cl2180]) ).
thf(zip_derived_cl47_3157,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8049,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n30 @ n15 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7956,zip_derived_cl47]) ).
thf(zip_derived_cl1040,plain,
( ( sum @ n30 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3158,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1039,plain,
( ( sum @ n30 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3159,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572,plain,
( ( sum @ n15 @ n13 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556_3160,plain,
( ( sum @ n14 @ n28 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18182,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n30 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8049,zip_derived_cl1040,zip_derived_cl78,zip_derived_cl1039,zip_derived_cl77,zip_derived_cl572,zip_derived_cl556]) ).
thf(zip_derived_cl19_3161,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('453',plain,
( ( sk__1 != n15 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18182,zip_derived_cl19]) ).
thf(zip_derived_cl1568_3162,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1550_3163,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_3164,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2178,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n28 @ sk__1 ) ) ) ) )
<= ( sk_ = n28 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl31]) ).
thf(zip_derived_cl7674,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ ( succ @ n15 ) ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n28 @ n15 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1568,zip_derived_cl2178]) ).
thf(zip_derived_cl47_3165,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7767,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n28 @ n15 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7674,zip_derived_cl47]) ).
thf(zip_derived_cl978_3166,plain,
( ( sum @ n28 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3167,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl977_3168,plain,
( ( sum @ n28 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3169,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570_3170,plain,
( ( sum @ n15 @ n11 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492,plain,
( ( sum @ n12 @ n26 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17970,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n28 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7767,zip_derived_cl978,zip_derived_cl76,zip_derived_cl977,zip_derived_cl75,zip_derived_cl570,zip_derived_cl492]) ).
thf(zip_derived_cl23_3171,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('454',plain,
( ( sk__1 != n15 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17970,zip_derived_cl23]) ).
thf(zip_derived_cl1568_3172,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1549_3173,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_3174,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2177,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n27 @ sk__1 ) ) ) ) )
<= ( sk_ = n27 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl31]) ).
thf(zip_derived_cl7533,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ ( succ @ n15 ) ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n27 @ n15 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1568,zip_derived_cl2177]) ).
thf(zip_derived_cl47_3175,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7626,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ n27 @ n15 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7533,zip_derived_cl47]) ).
thf(zip_derived_cl947_3176,plain,
( ( sum @ n27 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3177,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl946_3178,plain,
( ( sum @ n27 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3179,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_3180,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460,plain,
( ( sum @ n11 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17864,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n27 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7626,zip_derived_cl947,zip_derived_cl75,zip_derived_cl946,zip_derived_cl74,zip_derived_cl569,zip_derived_cl460]) ).
thf(zip_derived_cl25_3181,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('455',plain,
( ( sk__1 != n15 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17864,zip_derived_cl25]) ).
thf(zip_derived_cl1529_3182,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3183,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9435,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n7 @ n30 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl9427]) ).
thf(zip_derived_cl311,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3184,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341,plain,
( ( sum @ n7 @ n30 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3185,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1029_3186,plain,
( ( sum @ n30 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_3187,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20724,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n7 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9435,zip_derived_cl311,zip_derived_cl70,zip_derived_cl341,zip_derived_cl69,zip_derived_cl1029,zip_derived_cl284]) ).
thf(zip_derived_cl20_3188,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('456',plain,
( ( sk_ != n7 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20724,zip_derived_cl20]) ).
thf(zip_derived_cl1529_3189,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_3190,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9370,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n7 @ n29 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl9362]) ).
thf(zip_derived_cl341_3191,plain,
( ( sum @ n7 @ n30 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3192,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_3193,plain,
( ( sum @ n7 @ n29 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3194,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl997_3195,plain,
( ( sum @ n29 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_3196,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20588,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n7 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9370,zip_derived_cl341,zip_derived_cl69,zip_derived_cl340,zip_derived_cl68,zip_derived_cl997,zip_derived_cl251]) ).
thf(zip_derived_cl23_3197,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('457',plain,
( ( sk_ != n7 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20588,zip_derived_cl23]) ).
thf(zip_derived_cl1529_3198,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_3199,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9150,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n7 @ n26 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl9142]) ).
thf(zip_derived_cl338_3200,plain,
( ( sum @ n7 @ n27 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3201,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337,plain,
( ( sum @ n7 @ n26 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3202,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl901_3203,plain,
( ( sum @ n26 @ n1 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_3204,plain,
( ( sum @ n2 @ n27 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20180,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n7 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9150,zip_derived_cl338,zip_derived_cl66,zip_derived_cl337,zip_derived_cl65,zip_derived_cl901,zip_derived_cl183]) ).
thf(zip_derived_cl1_3205,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('458',plain,
( ( sk_ != n7 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20180,zip_derived_cl1]) ).
thf(zip_derived_cl1529_3206,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_3207,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9085,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n7 @ n25 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl9077]) ).
thf(zip_derived_cl337_3208,plain,
( ( sum @ n7 @ n26 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3209,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336,plain,
( ( sum @ n7 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3210,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl869,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_3211,plain,
( ( sum @ n1 @ n25 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20042,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n7 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9085,zip_derived_cl337,zip_derived_cl65,zip_derived_cl336,zip_derived_cl64,zip_derived_cl869,zip_derived_cl150]) ).
thf(zip_derived_cl4_3212,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('459',plain,
( ( sk_ != n7 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20042,zip_derived_cl4]) ).
thf(zip_derived_cl1529_3213,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_3214,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9020,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n7 @ n24 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl9012]) ).
thf(zip_derived_cl336_3215,plain,
( ( sum @ n7 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3216,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_3217,plain,
( ( sum @ n7 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3218,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl868,plain,
( ( sum @ n24 @ n30 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_3219,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19906,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n7 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9020,zip_derived_cl336,zip_derived_cl64,zip_derived_cl335,zip_derived_cl63,zip_derived_cl868,zip_derived_cl117]) ).
thf(zip_derived_cl7_3220,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('460',plain,
( ( sk_ != n7 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19906,zip_derived_cl7]) ).
thf(zip_derived_cl1529_3221,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_3222,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8890,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n7 @ n22 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8882]) ).
thf(zip_derived_cl334_3223,plain,
( ( sum @ n7 @ n23 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3224,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333,plain,
( ( sum @ n7 @ n22 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3225,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl804_3226,plain,
( ( sum @ n22 @ n28 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1012_3227,plain,
( ( sum @ n29 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19634,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n7 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8890,zip_derived_cl334,zip_derived_cl93,zip_derived_cl333,zip_derived_cl92,zip_derived_cl804,zip_derived_cl1012]) ).
thf(zip_derived_cl13_3228,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('461',plain,
( ( sk_ != n7 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19634,zip_derived_cl13]) ).
thf(zip_derived_cl1529_3229,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_3230,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8822,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n7 @ n21 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8814]) ).
thf(zip_derived_cl333_3231,plain,
( ( sum @ n7 @ n22 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3232,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_3233,plain,
( ( sum @ n7 @ n21 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3234,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl772_3235,plain,
( ( sum @ n21 @ n27 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl979_3236,plain,
( ( sum @ n28 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19498,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n7 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8822,zip_derived_cl333,zip_derived_cl92,zip_derived_cl332,zip_derived_cl91,zip_derived_cl772,zip_derived_cl979]) ).
thf(zip_derived_cl16_3237,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('462',plain,
( ( sk_ != n7 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19498,zip_derived_cl16]) ).
thf(zip_derived_cl1529_3238,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_3239,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8746,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n7 @ n20 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8738]) ).
thf(zip_derived_cl332_3240,plain,
( ( sum @ n7 @ n21 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3241,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331,plain,
( ( sum @ n7 @ n20 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3242,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl740,plain,
( ( sum @ n20 @ n26 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl946_3243,plain,
( ( sum @ n27 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19360,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n7 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8746,zip_derived_cl332,zip_derived_cl91,zip_derived_cl331,zip_derived_cl90,zip_derived_cl740,zip_derived_cl946]) ).
thf(zip_derived_cl19_3244,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('463',plain,
( ( sk_ != n7 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19360,zip_derived_cl19]) ).
thf(zip_derived_cl1529_3245,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_3246,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8681,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n7 @ n19 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8673]) ).
thf(zip_derived_cl331_3247,plain,
( ( sum @ n7 @ n20 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3248,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330,plain,
( ( sum @ n7 @ n19 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3249,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl708,plain,
( ( sum @ n19 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl913,plain,
( ( sum @ n26 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19224,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n7 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8681,zip_derived_cl331,zip_derived_cl90,zip_derived_cl330,zip_derived_cl89,zip_derived_cl708,zip_derived_cl913]) ).
thf(zip_derived_cl22_3250,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('464',plain,
( ( sk_ != n7 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19224,zip_derived_cl22]) ).
thf(zip_derived_cl1529_3251,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_3252,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8606,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n7 @ n18 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8598]) ).
thf(zip_derived_cl330_3253,plain,
( ( sum @ n7 @ n19 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3254,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3255,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl676_3256,plain,
( ( sum @ n18 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl880,plain,
( ( sum @ n25 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19088,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n7 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8606,zip_derived_cl330,zip_derived_cl89,zip_derived_cl329,zip_derived_cl88,zip_derived_cl676,zip_derived_cl880]) ).
thf(zip_derived_cl25_3257,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('465',plain,
( ( sk_ != n7 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19088,zip_derived_cl25]) ).
thf(zip_derived_cl1529_3258,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_3259,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8537,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n7 @ n17 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8529]) ).
thf(zip_derived_cl329_3260,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3261,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3262,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644_3263,plain,
( ( sum @ n17 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl847,plain,
( ( sum @ n24 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18952,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n7 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8537,zip_derived_cl329,zip_derived_cl88,zip_derived_cl328,zip_derived_cl87,zip_derived_cl644,zip_derived_cl847]) ).
thf(zip_derived_cl28_3264,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('466',plain,
( ( sk_ != n7 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18952,zip_derived_cl28]) ).
thf(zip_derived_cl1529_3265,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_3266,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8469,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n7 @ n16 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8461]) ).
thf(zip_derived_cl328_3267,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3268,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_3269,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_3270,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612,plain,
( ( sum @ n16 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl814_3271,plain,
( ( sum @ n23 @ n7 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18816,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n7 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8469,zip_derived_cl328,zip_derived_cl87,zip_derived_cl327,zip_derived_cl86,zip_derived_cl612,zip_derived_cl814]) ).
thf(zip_derived_cl0_3272,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('467',plain,
( ( sk_ != n7 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18816,zip_derived_cl0]) ).
thf(zip_derived_cl1529_3273,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_3274,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8325,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n7 @ n14 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8317]) ).
thf(zip_derived_cl326_3275,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_3276,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_3277,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3278,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548,plain,
( ( sum @ n14 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl748_3279,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18542,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n7 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8325,zip_derived_cl326,zip_derived_cl85,zip_derived_cl325,zip_derived_cl84,zip_derived_cl548,zip_derived_cl748]) ).
thf(zip_derived_cl6_3280,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('468',plain,
( ( sk_ != n7 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18542,zip_derived_cl6]) ).
thf(zip_derived_cl1529_3281,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_3282,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8260,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n7 @ n13 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8252]) ).
thf(zip_derived_cl325_3283,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3284,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3285,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3286,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516_3287,plain,
( ( sum @ n13 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715_3288,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18406,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n7 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8260,zip_derived_cl325,zip_derived_cl84,zip_derived_cl324,zip_derived_cl83,zip_derived_cl516,zip_derived_cl715]) ).
thf(zip_derived_cl9_3289,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('469',plain,
( ( sk_ != n7 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18406,zip_derived_cl9]) ).
thf(zip_derived_cl1529_3290,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_3291,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8190,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n7 @ n12 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl8182]) ).
thf(zip_derived_cl324_3292,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3293,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_3294,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3295,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_3296,plain,
( ( sum @ n12 @ n18 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713,plain,
( ( sum @ n19 @ n30 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18270,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n7 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8190,zip_derived_cl324,zip_derived_cl83,zip_derived_cl323,zip_derived_cl82,zip_derived_cl484,zip_derived_cl713]) ).
thf(zip_derived_cl12_3297,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('470',plain,
( ( sk_ != n7 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18270,zip_derived_cl12]) ).
thf(zip_derived_cl1529_3298,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_3299,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5429,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n7 @ n11 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl5421]) ).
thf(zip_derived_cl323_3300,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3301,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_3302,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3303,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_3304,plain,
( ( sum @ n11 @ n17 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680_3305,plain,
( ( sum @ n18 @ n28 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16058,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n7 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5429,zip_derived_cl323,zip_derived_cl82,zip_derived_cl322,zip_derived_cl81,zip_derived_cl452,zip_derived_cl680]) ).
thf(zip_derived_cl15_3306,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('471',plain,
( ( sk_ != n7 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16058,zip_derived_cl15]) ).
thf(zip_derived_cl1529_3307,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_3308,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4988,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n7 @ n10 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl4980]) ).
thf(zip_derived_cl322_3309,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3310,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_3311,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_3312,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_3313,plain,
( ( sum @ n10 @ n16 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647,plain,
( ( sum @ n17 @ n26 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15539,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n7 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4988,zip_derived_cl322,zip_derived_cl81,zip_derived_cl321,zip_derived_cl80,zip_derived_cl420,zip_derived_cl647]) ).
thf(zip_derived_cl18_3314,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('472',plain,
( ( sk_ != n7 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15539,zip_derived_cl18]) ).
thf(zip_derived_cl1529_3315,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3316,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4545,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n7 @ n9 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl4537]) ).
thf(zip_derived_cl321_3317,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_3318,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_3319,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_3320,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_3321,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614_3322,plain,
( ( sum @ n16 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15011,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n7 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4545,zip_derived_cl321,zip_derived_cl80,zip_derived_cl320,zip_derived_cl79,zip_derived_cl388,zip_derived_cl614]) ).
thf(zip_derived_cl21_3323,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('473',plain,
( ( sk_ != n7 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15011,zip_derived_cl21]) ).
thf(zip_derived_cl1529_3324,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_3325,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4095,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n7 @ n8 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl4087]) ).
thf(zip_derived_cl320_3326,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_3327,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_3328,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3329,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_3330,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581_3331,plain,
( ( sum @ n15 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14629,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n7 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4095,zip_derived_cl320,zip_derived_cl79,zip_derived_cl319,zip_derived_cl78,zip_derived_cl356,zip_derived_cl581]) ).
thf(zip_derived_cl24_3332,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('474',plain,
( ( sk_ != n7 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14629,zip_derived_cl24]) ).
thf(zip_derived_cl1529_3333,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_3334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3674,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n7 @ n7 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl3666]) ).
thf(zip_derived_cl319_3335,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3336,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_3337,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3338,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3339,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548_3340,plain,
( ( sum @ n14 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14301,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n7 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3674,zip_derived_cl319,zip_derived_cl78,zip_derived_cl318,zip_derived_cl77,zip_derived_cl324,zip_derived_cl548]) ).
thf(zip_derived_cl27_3341,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('475',plain,
( ( sk_ != n7 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14301,zip_derived_cl27]) ).
thf(zip_derived_cl1529_3342,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_3343,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2942,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n7 @ n3 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl2932]) ).
thf(zip_derived_cl315_3344,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3345,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_3346,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3347,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13919,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2942,zip_derived_cl315,zip_derived_cl74,zip_derived_cl314,zip_derived_cl73,zip_derived_cl196,zip_derived_cl416]) ).
thf(zip_derived_cl8_3348,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('476',plain,
( ( sk_ != n7 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13919,zip_derived_cl8]) ).
thf(zip_derived_cl1529_3349,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_3350,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2735,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n7 @ n0 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl2727]) ).
thf(zip_derived_cl312_3351,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3352,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_3353,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3354,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_3355,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_3356,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13732,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2735,zip_derived_cl312,zip_derived_cl71,zip_derived_cl311,zip_derived_cl70,zip_derived_cl100,zip_derived_cl317]) ).
thf(zip_derived_cl17_3357,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('477',plain,
( ( sk_ != n7 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13732,zip_derived_cl17]) ).
thf(zip_derived_cl1552_3358,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3359,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9458,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n30 @ n30 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl9427]) ).
thf(zip_derived_cl1024_3360,plain,
( ( sum @ n30 @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3361,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1054_3362,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3363,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1052_3364,plain,
( ( sum @ n30 @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1020_3365,plain,
( ( sum @ n29 @ n27 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20776,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n30 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9458,zip_derived_cl1024,zip_derived_cl93,zip_derived_cl1054,zip_derived_cl92,zip_derived_cl1052,zip_derived_cl1020]) ).
thf(zip_derived_cl5_3366,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('478',plain,
( ( sk__1 != n30 )
| ( sk_ != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20776,zip_derived_cl5]) ).
thf(zip_derived_cl1550_3367,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3368,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9456,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n28 @ n30 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl9427]) ).
thf(zip_derived_cl962_3369,plain,
( ( sum @ n28 @ n0 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3370,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl992_3371,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3372,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1050_3373,plain,
( ( sum @ n30 @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl956_3374,plain,
( ( sum @ n27 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20772,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n28 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9456,zip_derived_cl962,zip_derived_cl91,zip_derived_cl992,zip_derived_cl90,zip_derived_cl1050,zip_derived_cl956]) ).
thf(zip_derived_cl9_3375,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('479',plain,
( ( sk__1 != n30 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20772,zip_derived_cl9]) ).
thf(zip_derived_cl1549_3376,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3377,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9455,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n27 @ n30 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl9427]) ).
thf(zip_derived_cl931_3378,plain,
( ( sum @ n27 @ n0 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3379,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl961_3380,plain,
( ( sum @ n27 @ n30 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3381,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1049_3382,plain,
( ( sum @ n30 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl924_3383,plain,
( ( sum @ n26 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20768,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n27 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9455,zip_derived_cl931,zip_derived_cl90,zip_derived_cl961,zip_derived_cl89,zip_derived_cl1049,zip_derived_cl924]) ).
thf(zip_derived_cl11_3384,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('480',plain,
( ( sk__1 != n30 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20768,zip_derived_cl11]) ).
thf(zip_derived_cl1548_3385,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3386,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9454,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n26 @ n30 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl9427]) ).
thf(zip_derived_cl900_3387,plain,
( ( sum @ n26 @ n0 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3388,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl930_3389,plain,
( ( sum @ n26 @ n30 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3390,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1048_3391,plain,
( ( sum @ n30 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl892_3392,plain,
( ( sum @ n25 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20766,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n26 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9454,zip_derived_cl900,zip_derived_cl89,zip_derived_cl930,zip_derived_cl88,zip_derived_cl1048,zip_derived_cl892]) ).
thf(zip_derived_cl13_3393,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('481',plain,
( ( sk__1 != n30 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20766,zip_derived_cl13]) ).
thf(zip_derived_cl1547_3394,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3395,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9453,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n25 @ n30 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl9427]) ).
thf(zip_derived_cl869_3396,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3397,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl899_3398,plain,
( ( sum @ n25 @ n30 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3399,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1047_3400,plain,
( ( sum @ n30 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl860,plain,
( ( sum @ n24 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20764,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n25 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9453,zip_derived_cl869,zip_derived_cl88,zip_derived_cl899,zip_derived_cl87,zip_derived_cl1047,zip_derived_cl860]) ).
thf(zip_derived_cl15_3401,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('482',plain,
( ( sk__1 != n30 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20764,zip_derived_cl15]) ).
thf(zip_derived_cl1546_3402,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3403,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9452,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n24 @ n30 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl9427]) ).
thf(zip_derived_cl838_3404,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3405,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl868_3406,plain,
( ( sum @ n24 @ n30 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_3407,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1046_3408,plain,
( ( sum @ n30 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl828_3409,plain,
( ( sum @ n23 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20762,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n24 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9452,zip_derived_cl838,zip_derived_cl87,zip_derived_cl868,zip_derived_cl86,zip_derived_cl1046,zip_derived_cl828]) ).
thf(zip_derived_cl17_3410,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('483',plain,
( ( sk__1 != n30 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20762,zip_derived_cl17]) ).
thf(zip_derived_cl1545_3411,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3412,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9451,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n23 @ n30 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl9427]) ).
thf(zip_derived_cl807_3413,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_3414,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl837_3415,plain,
( ( sum @ n23 @ n30 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_3416,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1045_3417,plain,
( ( sum @ n30 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl796,plain,
( ( sum @ n22 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20760,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n23 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9451,zip_derived_cl807,zip_derived_cl86,zip_derived_cl837,zip_derived_cl85,zip_derived_cl1045,zip_derived_cl796]) ).
thf(zip_derived_cl19_3418,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('484',plain,
( ( sk__1 != n30 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20760,zip_derived_cl19]) ).
thf(zip_derived_cl1544_3419,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3420,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9450,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n22 @ n30 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl9427]) ).
thf(zip_derived_cl776,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_3421,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl806,plain,
( ( sum @ n22 @ n30 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3422,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1044_3423,plain,
( ( sum @ n30 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl764,plain,
( ( sum @ n21 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20758,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n22 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9450,zip_derived_cl776,zip_derived_cl85,zip_derived_cl806,zip_derived_cl84,zip_derived_cl1044,zip_derived_cl764]) ).
thf(zip_derived_cl21_3424,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('485',plain,
( ( sk__1 != n30 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20758,zip_derived_cl21]) ).
thf(zip_derived_cl1543_3425,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3426,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9449,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n21 @ n30 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl9427]) ).
thf(zip_derived_cl745,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3427,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl775,plain,
( ( sum @ n21 @ n30 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3428,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1043,plain,
( ( sum @ n30 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732,plain,
( ( sum @ n20 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20756,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n21 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9449,zip_derived_cl745,zip_derived_cl84,zip_derived_cl775,zip_derived_cl83,zip_derived_cl1043,zip_derived_cl732]) ).
thf(zip_derived_cl23_3429,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('486',plain,
( ( sk__1 != n30 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20756,zip_derived_cl23]) ).
thf(zip_derived_cl1542_3430,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3431,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9448,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n20 @ n30 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl9427]) ).
thf(zip_derived_cl714_3432,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3433,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744,plain,
( ( sum @ n20 @ n30 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3434,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1042,plain,
( ( sum @ n30 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl700,plain,
( ( sum @ n19 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20754,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n20 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9448,zip_derived_cl714,zip_derived_cl83,zip_derived_cl744,zip_derived_cl82,zip_derived_cl1042,zip_derived_cl700]) ).
thf(zip_derived_cl25_3435,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('487',plain,
( ( sk__1 != n30 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20754,zip_derived_cl25]) ).
thf(zip_derived_cl1541_3436,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3437,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9447,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n19 @ n30 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl9427]) ).
thf(zip_derived_cl683_3438,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3439,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713_3440,plain,
( ( sum @ n19 @ n30 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3441,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1041,plain,
( ( sum @ n30 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668_3442,plain,
( ( sum @ n18 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20752,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n19 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9447,zip_derived_cl683,zip_derived_cl82,zip_derived_cl713,zip_derived_cl81,zip_derived_cl1041,zip_derived_cl668]) ).
thf(zip_derived_cl27_3443,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('488',plain,
( ( sk__1 != n30 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20752,zip_derived_cl27]) ).
thf(zip_derived_cl1540_3444,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3445,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9446,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n18 @ n30 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl9427]) ).
thf(zip_derived_cl652_3446,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3447,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682_3448,plain,
( ( sum @ n18 @ n30 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_3449,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1040_3450,plain,
( ( sum @ n30 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636_3451,plain,
( ( sum @ n17 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20750,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n18 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9446,zip_derived_cl652,zip_derived_cl81,zip_derived_cl682,zip_derived_cl80,zip_derived_cl1040,zip_derived_cl636]) ).
thf(zip_derived_cl29_3452,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('489',plain,
( ( sk_ != n18 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20750,zip_derived_cl29]) ).
thf(zip_derived_cl1539_3453,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3454,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9445,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n17 @ n30 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl9427]) ).
thf(zip_derived_cl621_3455,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_3456,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651,plain,
( ( sum @ n17 @ n30 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_3457,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1039_3458,plain,
( ( sum @ n30 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604,plain,
( ( sum @ n16 @ n14 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20746,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n17 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9445,zip_derived_cl621,zip_derived_cl80,zip_derived_cl651,zip_derived_cl79,zip_derived_cl1039,zip_derived_cl604]) ).
thf(zip_derived_cl0_3459,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('490',plain,
( ( sk__1 != n30 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20746,zip_derived_cl0]) ).
thf(zip_derived_cl1538_3460,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3461,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9444,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n16 @ n30 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl9427]) ).
thf(zip_derived_cl590_3462,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_3463,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl620_3464,plain,
( ( sum @ n16 @ n30 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3465,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1038,plain,
( ( sum @ n30 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572_3466,plain,
( ( sum @ n15 @ n13 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20744,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n16 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9444,zip_derived_cl590,zip_derived_cl79,zip_derived_cl620,zip_derived_cl78,zip_derived_cl1038,zip_derived_cl572]) ).
thf(zip_derived_cl2_3467,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('491',plain,
( ( sk__1 != n30 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20744,zip_derived_cl2]) ).
thf(zip_derived_cl1537_3468,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3469,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9443,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n15 @ n30 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl9427]) ).
thf(zip_derived_cl559_3470,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3471,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589_3472,plain,
( ( sum @ n15 @ n30 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3473,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1037_3474,plain,
( ( sum @ n30 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540,plain,
( ( sum @ n14 @ n12 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20742,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n15 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9443,zip_derived_cl559,zip_derived_cl78,zip_derived_cl589,zip_derived_cl77,zip_derived_cl1037,zip_derived_cl540]) ).
thf(zip_derived_cl4_3475,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('492',plain,
( ( sk__1 != n30 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20742,zip_derived_cl4]) ).
thf(zip_derived_cl1536_3476,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3477,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9442,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n14 @ n30 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl9427]) ).
thf(zip_derived_cl528,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3478,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558,plain,
( ( sum @ n14 @ n30 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3479,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1036,plain,
( ( sum @ n30 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20740,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n14 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9442,zip_derived_cl528,zip_derived_cl77,zip_derived_cl558,zip_derived_cl76,zip_derived_cl1036,zip_derived_cl508]) ).
thf(zip_derived_cl6_3480,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('493',plain,
( ( sk__1 != n30 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20740,zip_derived_cl6]) ).
thf(zip_derived_cl1535_3481,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3482,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9441,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n13 @ n30 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl9427]) ).
thf(zip_derived_cl497,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3483,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527,plain,
( ( sum @ n13 @ n30 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3484,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1035,plain,
( ( sum @ n30 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20738,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n13 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9441,zip_derived_cl497,zip_derived_cl76,zip_derived_cl527,zip_derived_cl75,zip_derived_cl1035,zip_derived_cl476]) ).
thf(zip_derived_cl8_3485,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('494',plain,
( ( sk__1 != n30 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20738,zip_derived_cl8]) ).
thf(zip_derived_cl1534_3486,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3487,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9440,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n12 @ n30 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl9427]) ).
thf(zip_derived_cl466,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3488,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496,plain,
( ( sum @ n12 @ n30 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3489,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1034,plain,
( ( sum @ n30 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20736,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n12 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9440,zip_derived_cl466,zip_derived_cl75,zip_derived_cl496,zip_derived_cl74,zip_derived_cl1034,zip_derived_cl444]) ).
thf(zip_derived_cl10_3490,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('495',plain,
( ( sk__1 != n30 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20736,zip_derived_cl10]) ).
thf(zip_derived_cl1533_3491,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3492,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n11 @ n30 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl9427]) ).
thf(zip_derived_cl435,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3493,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465,plain,
( ( sum @ n11 @ n30 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3494,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1033,plain,
( ( sum @ n30 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20734,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n11 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9439,zip_derived_cl435,zip_derived_cl74,zip_derived_cl465,zip_derived_cl73,zip_derived_cl1033,zip_derived_cl412]) ).
thf(zip_derived_cl12_3495,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('496',plain,
( ( sk_ != n11 )
| ( sk__1 != n30 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20734,zip_derived_cl12]) ).
thf(zip_derived_cl1532_3496,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3497,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9438,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n10 @ n30 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl9427]) ).
thf(zip_derived_cl404,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3498,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434,plain,
( ( sum @ n10 @ n30 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3499,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1032,plain,
( ( sum @ n30 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3500,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20732,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n10 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9438,zip_derived_cl404,zip_derived_cl73,zip_derived_cl434,zip_derived_cl72,zip_derived_cl1032,zip_derived_cl380]) ).
thf(zip_derived_cl14_3501,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('497',plain,
( ( sk__1 != n30 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20732,zip_derived_cl14]) ).
thf(zip_derived_cl1531_3502,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3503,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9437,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n9 @ n30 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl9427]) ).
thf(zip_derived_cl373_3504,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3505,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403,plain,
( ( sum @ n9 @ n30 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3506,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1031_3507,plain,
( ( sum @ n30 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348_3508,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20730,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n9 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9437,zip_derived_cl373,zip_derived_cl72,zip_derived_cl403,zip_derived_cl71,zip_derived_cl1031,zip_derived_cl348]) ).
thf(zip_derived_cl16_3509,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('498',plain,
( ( sk__1 != n30 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20730,zip_derived_cl16]) ).
thf(zip_derived_cl1525_3510,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9427_3511,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ sk_ @ n30 ) ) ) ) )
<= ( sk__1 = n30 ) ),
inference(demod,[status(thm)],[zip_derived_cl2694,zip_derived_cl62]) ).
thf(zip_derived_cl9431,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n0 ) ) @ ( sum @ n30 @ ( pred @ ( sum @ n3 @ n30 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n30 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl9427]) ).
thf(zip_derived_cl187_3512,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3513,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_3514,plain,
( ( sum @ n3 @ n30 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3515,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1025_3516,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_3517,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20716,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n3 )
& ( sk__1 = n30 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9431,zip_derived_cl187,zip_derived_cl66,zip_derived_cl217,zip_derived_cl65,zip_derived_cl1025,zip_derived_cl156]) ).
thf(zip_derived_cl28_3518,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('499',plain,
( ( sk__1 != n30 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20716,zip_derived_cl28]) ).
thf(zip_derived_cl1552_3519,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_3520,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9393,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n30 @ n29 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl9362]) ).
thf(zip_derived_cl1054_3521,plain,
( ( sum @ n30 @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3522,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1053_3523,plain,
( ( sum @ n30 @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3524,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1020_3525,plain,
( ( sum @ n29 @ n27 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl987_3526,plain,
( ( sum @ n28 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20640,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n30 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9393,zip_derived_cl1054,zip_derived_cl92,zip_derived_cl1053,zip_derived_cl91,zip_derived_cl1020,zip_derived_cl987]) ).
thf(zip_derived_cl8_3527,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('500',plain,
( ( sk_ != n30 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20640,zip_derived_cl8]) ).
thf(zip_derived_cl1552_3528,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_3529,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9173,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n30 @ n26 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl9142]) ).
thf(zip_derived_cl1051_3530,plain,
( ( sum @ n30 @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3531,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1050_3532,plain,
( ( sum @ n30 @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3533,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl924_3534,plain,
( ( sum @ n26 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl888,plain,
( ( sum @ n25 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20230,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n30 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9173,zip_derived_cl1051,zip_derived_cl89,zip_derived_cl1050,zip_derived_cl88,zip_derived_cl924,zip_derived_cl888]) ).
thf(zip_derived_cl17_3535,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('501',plain,
( ( sk_ != n30 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20230,zip_derived_cl17]) ).
thf(zip_derived_cl1552_3536,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_3537,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9108,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n30 @ n25 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl9077]) ).
thf(zip_derived_cl1050_3538,plain,
( ( sum @ n30 @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3539,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1049_3540,plain,
( ( sum @ n30 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3541,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl892_3542,plain,
( ( sum @ n25 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl855,plain,
( ( sum @ n24 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20094,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n30 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9108,zip_derived_cl1050,zip_derived_cl88,zip_derived_cl1049,zip_derived_cl87,zip_derived_cl892,zip_derived_cl855]) ).
thf(zip_derived_cl20_3543,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('502',plain,
( ( sk_ != n30 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20094,zip_derived_cl20]) ).
thf(zip_derived_cl1552_3544,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_3545,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9043,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n30 @ n24 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl9012]) ).
thf(zip_derived_cl1049_3546,plain,
( ( sum @ n30 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3547,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1048_3548,plain,
( ( sum @ n30 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_3549,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl860_3550,plain,
( ( sum @ n24 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl822_3551,plain,
( ( sum @ n23 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19958,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n30 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9043,zip_derived_cl1049,zip_derived_cl87,zip_derived_cl1048,zip_derived_cl86,zip_derived_cl860,zip_derived_cl822]) ).
thf(zip_derived_cl23_3552,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('503',plain,
( ( sk_ != n30 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19958,zip_derived_cl23]) ).
thf(zip_derived_cl1552_3553,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_3554,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8913,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n30 @ n22 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl8882]) ).
thf(zip_derived_cl1047_3555,plain,
( ( sum @ n30 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_3556,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1046_3557,plain,
( ( sum @ n30 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3558,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl796_3559,plain,
( ( sum @ n22 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl756,plain,
( ( sum @ n21 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19684,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n30 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8913,zip_derived_cl1047,zip_derived_cl85,zip_derived_cl1046,zip_derived_cl84,zip_derived_cl796,zip_derived_cl756]) ).
thf(zip_derived_cl29_3560,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('504',plain,
( ( sk_ != n30 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19684,zip_derived_cl29]) ).
thf(zip_derived_cl1552_3561,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_3562,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8845,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n30 @ n21 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl8814]) ).
thf(zip_derived_cl1046_3563,plain,
( ( sum @ n30 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3564,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1045_3565,plain,
( ( sum @ n30 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3566,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl764_3567,plain,
( ( sum @ n21 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723,plain,
( ( sum @ n20 @ n9 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19548,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n30 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8845,zip_derived_cl1046,zip_derived_cl84,zip_derived_cl1045,zip_derived_cl83,zip_derived_cl764,zip_derived_cl723]) ).
thf(zip_derived_cl1_3568,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('505',plain,
( ( sk_ != n30 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19548,zip_derived_cl1]) ).
thf(zip_derived_cl1552_3569,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_3570,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8769,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n30 @ n20 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl8738]) ).
thf(zip_derived_cl1045_3571,plain,
( ( sum @ n30 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3572,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1044_3573,plain,
( ( sum @ n30 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3574,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_3575,plain,
( ( sum @ n20 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl690_3576,plain,
( ( sum @ n19 @ n7 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19412,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n30 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8769,zip_derived_cl1045,zip_derived_cl83,zip_derived_cl1044,zip_derived_cl82,zip_derived_cl732,zip_derived_cl690]) ).
thf(zip_derived_cl4_3577,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('506',plain,
( ( sk_ != n30 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19412,zip_derived_cl4]) ).
thf(zip_derived_cl1552_3578,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_3579,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8704,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n30 @ n19 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl8673]) ).
thf(zip_derived_cl1044_3580,plain,
( ( sum @ n30 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3581,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1043_3582,plain,
( ( sum @ n30 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3583,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl700_3584,plain,
( ( sum @ n19 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657_3585,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19276,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n30 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8704,zip_derived_cl1044,zip_derived_cl82,zip_derived_cl1043,zip_derived_cl81,zip_derived_cl700,zip_derived_cl657]) ).
thf(zip_derived_cl7_3586,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('507',plain,
( ( sk_ != n30 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19276,zip_derived_cl7]) ).
thf(zip_derived_cl1552_3587,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_3588,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8629,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n30 @ n18 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl8598]) ).
thf(zip_derived_cl1043_3589,plain,
( ( sum @ n30 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3590,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1042_3591,plain,
( ( sum @ n30 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_3592,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668_3593,plain,
( ( sum @ n18 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl624_3594,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19138,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n30 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8629,zip_derived_cl1043,zip_derived_cl81,zip_derived_cl1042,zip_derived_cl80,zip_derived_cl668,zip_derived_cl624]) ).
thf(zip_derived_cl10_3595,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('508',plain,
( ( sk_ != n30 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19138,zip_derived_cl10]) ).
thf(zip_derived_cl1552_3596,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_3597,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8560,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n30 @ n17 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl8529]) ).
thf(zip_derived_cl1042_3598,plain,
( ( sum @ n30 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_3599,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1041_3600,plain,
( ( sum @ n30 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_3601,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636_3602,plain,
( ( sum @ n17 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591_3603,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19002,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n30 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8560,zip_derived_cl1042,zip_derived_cl80,zip_derived_cl1041,zip_derived_cl79,zip_derived_cl636,zip_derived_cl591]) ).
thf(zip_derived_cl13_3604,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('509',plain,
( ( sk_ != n30 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19002,zip_derived_cl13]) ).
thf(zip_derived_cl1552_3605,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_3606,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8492,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n30 @ n16 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl8461]) ).
thf(zip_derived_cl1041_3607,plain,
( ( sum @ n30 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_3608,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1040_3609,plain,
( ( sum @ n30 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3610,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604_3611,plain,
( ( sum @ n16 @ n14 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589_3612,plain,
( ( sum @ n15 @ n30 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18866,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n30 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8492,zip_derived_cl1041,zip_derived_cl79,zip_derived_cl1040,zip_derived_cl78,zip_derived_cl604,zip_derived_cl589]) ).
thf(zip_derived_cl16_3613,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('510',plain,
( ( sk_ != n30 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18866,zip_derived_cl16]) ).
thf(zip_derived_cl1567_3614,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2180_3615,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n30 @ sk__1 ) ) ) ) )
<= ( sk_ = n30 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl31]) ).
thf(zip_derived_cl7955,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n30 @ n14 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl2180]) ).
thf(zip_derived_cl46_3616,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8048,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n30 @ n14 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7955,zip_derived_cl46]) ).
thf(zip_derived_cl1039_3617,plain,
( ( sum @ n30 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3618,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1038_3619,plain,
( ( sum @ n30 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3620,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_3621,plain,
( ( sum @ n14 @ n12 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523,plain,
( ( sum @ n13 @ n26 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18180,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n30 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8048,zip_derived_cl1039,zip_derived_cl77,zip_derived_cl1038,zip_derived_cl76,zip_derived_cl540,zip_derived_cl523]) ).
thf(zip_derived_cl22_3622,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('511',plain,
( ( sk_ != n30 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18180,zip_derived_cl22]) ).
thf(zip_derived_cl1566_3623,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2180_3624,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n30 @ sk__1 ) ) ) ) )
<= ( sk_ = n30 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl31]) ).
thf(zip_derived_cl7954,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n30 @ n13 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2180]) ).
thf(zip_derived_cl45_3625,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8047,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n30 @ n13 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7954,zip_derived_cl45]) ).
thf(zip_derived_cl1038_3626,plain,
( ( sum @ n30 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3627,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1037_3628,plain,
( ( sum @ n30 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3629,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508_3630,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_3631,plain,
( ( sum @ n12 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18178,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n30 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8047,zip_derived_cl1038,zip_derived_cl76,zip_derived_cl1037,zip_derived_cl75,zip_derived_cl508,zip_derived_cl490]) ).
thf(zip_derived_cl25_3632,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('512',plain,
( ( sk_ != n30 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18178,zip_derived_cl25]) ).
thf(zip_derived_cl1565_3633,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2180_3634,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n30 @ sk__1 ) ) ) ) )
<= ( sk_ = n30 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl31]) ).
thf(zip_derived_cl7953,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n30 @ n12 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2180]) ).
thf(zip_derived_cl44_3635,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl8046,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n30 @ n12 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7953,zip_derived_cl44]) ).
thf(zip_derived_cl1037_3636,plain,
( ( sum @ n30 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3637,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1036_3638,plain,
( ( sum @ n30 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3639,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_3640,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457,plain,
( ( sum @ n11 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18176,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n30 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8046,zip_derived_cl1037,zip_derived_cl75,zip_derived_cl1036,zip_derived_cl74,zip_derived_cl476,zip_derived_cl457]) ).
thf(zip_derived_cl28_3641,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('513',plain,
( ( sk_ != n30 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18176,zip_derived_cl28]) ).
thf(zip_derived_cl1025_3642,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3643,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_3644,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2758,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n30 @ n0 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl2727]) ).
thf(zip_derived_cl16575,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n0 @ ( pred @ ( sum @ n30 @ n0 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1025,zip_derived_cl2758]) ).
thf(zip_derived_cl63_3645,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1024_3646,plain,
( ( sum @ n30 @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3647,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_3648,plain,
( ( sum @ n0 @ n29 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16580,plain,
( ( sk__2
= ( sum @ n30 @ n29 ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16575,zip_derived_cl63,zip_derived_cl1024,zip_derived_cl93,zip_derived_cl123]) ).
thf(zip_derived_cl1053_3649,plain,
( ( sum @ n30 @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16792,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n30 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16580,zip_derived_cl1053]) ).
thf(zip_derived_cl2_3650,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('514',plain,
( ( sk_ != n30 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16792,zip_derived_cl2]) ).
thf(zip_derived_cl1036_3651,plain,
( ( sum @ n30 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3652,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_3653,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5452,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n30 @ n11 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl5421]) ).
thf(zip_derived_cl16692,plain,
( ( sk__2
= ( sum @ ( pred @ n11 ) @ ( sum @ n11 @ ( pred @ ( sum @ n30 @ n11 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1036,zip_derived_cl5452]) ).
thf(zip_derived_cl74_3654,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1035_3655,plain,
( ( sum @ n30 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3656,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_3657,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424,plain,
( ( sum @ n10 @ n20 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16694,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n30 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16692,zip_derived_cl74,zip_derived_cl1035,zip_derived_cl73,zip_derived_cl444,zip_derived_cl424]) ).
thf(zip_derived_cl0_3658,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('515',plain,
( ( sk_ != n30 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16694,zip_derived_cl0]) ).
thf(zip_derived_cl1035_3659,plain,
( ( sum @ n30 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3660,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_3661,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5011,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n30 @ n10 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl4980]) ).
thf(zip_derived_cl16682,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n10 @ ( pred @ ( sum @ n30 @ n10 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1035,zip_derived_cl5011]) ).
thf(zip_derived_cl73_3662,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1034_3663,plain,
( ( sum @ n30 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3664,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_3665,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391,plain,
( ( sum @ n9 @ n18 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16685,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n30 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16682,zip_derived_cl73,zip_derived_cl1034,zip_derived_cl72,zip_derived_cl412,zip_derived_cl391]) ).
thf(zip_derived_cl3_3666,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('516',plain,
( ( sk_ != n30 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16685,zip_derived_cl3]) ).
thf(zip_derived_cl1034_3667,plain,
( ( sum @ n30 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3668,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3669,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4568,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n30 @ n9 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl4537]) ).
thf(zip_derived_cl16671,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n9 @ ( pred @ ( sum @ n30 @ n9 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1034,zip_derived_cl4568]) ).
thf(zip_derived_cl72_3670,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1033_3671,plain,
( ( sum @ n30 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3672,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3673,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_3674,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16673,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n30 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16671,zip_derived_cl72,zip_derived_cl1033,zip_derived_cl71,zip_derived_cl380,zip_derived_cl358]) ).
thf(zip_derived_cl6_3675,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('517',plain,
( ( sk_ != n30 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16673,zip_derived_cl6]) ).
thf(zip_derived_cl1033_3676,plain,
( ( sum @ n30 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3677,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_3678,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4118,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n30 @ n8 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl4087]) ).
thf(zip_derived_cl16661,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n8 @ ( pred @ ( sum @ n30 @ n8 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1033,zip_derived_cl4118]) ).
thf(zip_derived_cl71_3679,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1032_3680,plain,
( ( sum @ n30 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3681,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348_3682,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_3683,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16666,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n30 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16661,zip_derived_cl71,zip_derived_cl1032,zip_derived_cl70,zip_derived_cl348,zip_derived_cl325]) ).
thf(zip_derived_cl9_3684,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('518',plain,
( ( sk_ != n30 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16666,zip_derived_cl9]) ).
thf(zip_derived_cl1032_3685,plain,
( ( sum @ n30 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3686,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_3687,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3697,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n30 @ n7 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl3666]) ).
thf(zip_derived_cl16649,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n7 @ ( pred @ ( sum @ n30 @ n7 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1032,zip_derived_cl3697]) ).
thf(zip_derived_cl70_3688,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1031_3689,plain,
( ( sum @ n30 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3690,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_3691,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_3692,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16653,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n30 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16649,zip_derived_cl70,zip_derived_cl1031,zip_derived_cl69,zip_derived_cl316,zip_derived_cl292]) ).
thf(zip_derived_cl12_3693,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('519',plain,
( ( sk_ != n30 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16653,zip_derived_cl12]) ).
thf(zip_derived_cl1028_3694,plain,
( ( sum @ n30 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1552_3695,plain,
( ( sk_ = n30 )
<= ( sk_ = n30 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_3696,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2965,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n30 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n30 @ n3 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1552,zip_derived_cl2932]) ).
thf(zip_derived_cl16605,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n3 @ ( pred @ ( sum @ n30 @ n3 ) ) ) ) )
<= ( ( sk_ = n30 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1028,zip_derived_cl2965]) ).
thf(zip_derived_cl66_3697,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1027_3698,plain,
( ( sum @ n30 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3699,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_3700,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_3701,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16609,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n30 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16605,zip_derived_cl66,zip_derived_cl1027,zip_derived_cl65,zip_derived_cl188,zip_derived_cl160]) ).
thf(zip_derived_cl24_3702,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('520',plain,
( ( sk_ != n30 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16609,zip_derived_cl24]) ).
thf(zip_derived_cl1543_3703,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3704,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4559,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n21 @ n9 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl4537]) ).
thf(zip_derived_cl755_3705,plain,
( ( sum @ n21 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3706,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl754_3707,plain,
( ( sum @ n21 @ n9 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3708,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_3709,plain,
( ( sum @ n9 @ n29 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15058,plain,
( ( sk__2
= ( sum @ n30 @ n7 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4559,zip_derived_cl755,zip_derived_cl63,zip_derived_cl754,zip_derived_cl93,zip_derived_cl402]) ).
thf(zip_derived_cl1031_3710,plain,
( ( sum @ n30 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16642,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n21 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15058,zip_derived_cl1031]) ).
thf(zip_derived_cl24_3711,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('521',plain,
( ( sk__1 != n9 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16642,zip_derived_cl24]) ).
thf(zip_derived_cl1542_3712,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3713,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4558,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n20 @ n9 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl4537]) ).
thf(zip_derived_cl724_3714,plain,
( ( sum @ n20 @ n10 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3715,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_3716,plain,
( ( sum @ n20 @ n9 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3717,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_3718,plain,
( ( sum @ n9 @ n28 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15051,plain,
( ( sk__2
= ( sum @ n29 @ n6 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4558,zip_derived_cl724,zip_derived_cl93,zip_derived_cl723,zip_derived_cl92,zip_derived_cl401]) ).
thf(zip_derived_cl999_3719,plain,
( ( sum @ n29 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16383,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n20 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15051,zip_derived_cl999]) ).
thf(zip_derived_cl26_3720,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('522',plain,
( ( sk__1 != n9 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16383,zip_derived_cl26]) ).
thf(zip_derived_cl972_3721,plain,
( ( sum @ n28 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_3722,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3723,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4566,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n28 @ n9 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl4537]) ).
thf(zip_derived_cl16192,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n9 @ ( pred @ ( sum @ n28 @ n9 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl972,zip_derived_cl4566]) ).
thf(zip_derived_cl70_3724,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl971_3725,plain,
( ( sum @ n28 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3726,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_3727,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_3728,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16195,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n28 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16192,zip_derived_cl70,zip_derived_cl971,zip_derived_cl69,zip_derived_cl378,zip_derived_cl294]) ).
thf(zip_derived_cl10_3729,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('523',plain,
( ( sk__1 != n9 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16195,zip_derived_cl10]) ).
thf(zip_derived_cl1541_3730,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3731,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4557,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n19 @ n9 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl4537]) ).
thf(zip_derived_cl693_3732,plain,
( ( sum @ n19 @ n10 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3733,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl692,plain,
( ( sum @ n19 @ n9 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3734,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_3735,plain,
( ( sum @ n9 @ n27 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15048,plain,
( ( sk__2
= ( sum @ n28 @ n5 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4557,zip_derived_cl693,zip_derived_cl92,zip_derived_cl692,zip_derived_cl91,zip_derived_cl400]) ).
thf(zip_derived_cl967_3736,plain,
( ( sum @ n28 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16142,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n19 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15048,zip_derived_cl967]) ).
thf(zip_derived_cl28_3737,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('524',plain,
( ( sk__1 != n9 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16142,zip_derived_cl28]) ).
thf(zip_derived_cl941_3738,plain,
( ( sum @ n27 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_3739,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3740,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4565,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n27 @ n9 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl4537]) ).
thf(zip_derived_cl15960,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n9 @ ( pred @ ( sum @ n27 @ n9 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl941,zip_derived_cl4565]) ).
thf(zip_derived_cl69_3741,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl940_3742,plain,
( ( sum @ n27 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3743,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377_3744,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_3745,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15963,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n27 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15960,zip_derived_cl69,zip_derived_cl940,zip_derived_cl68,zip_derived_cl377,zip_derived_cl262]) ).
thf(zip_derived_cl12_3746,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('525',plain,
( ( sk__1 != n9 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15963,zip_derived_cl12]) ).
thf(zip_derived_cl1540_3747,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3748,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4556,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n18 @ n9 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl4537]) ).
thf(zip_derived_cl662,plain,
( ( sum @ n18 @ n10 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3749,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661_3750,plain,
( ( sum @ n18 @ n9 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3751,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399,plain,
( ( sum @ n9 @ n26 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15045,plain,
( ( sk__2
= ( sum @ n27 @ n4 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4556,zip_derived_cl662,zip_derived_cl91,zip_derived_cl661,zip_derived_cl90,zip_derived_cl399]) ).
thf(zip_derived_cl935_3752,plain,
( ( sum @ n27 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15901,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n18 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15045,zip_derived_cl935]) ).
thf(zip_derived_cl30_3753,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('526',plain,
( ( sk_ != n18 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15901,zip_derived_cl30]) ).
thf(zip_derived_cl910,plain,
( ( sum @ n26 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_3754,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3755,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4564,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n26 @ n9 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl4537]) ).
thf(zip_derived_cl15724,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n9 @ ( pred @ ( sum @ n26 @ n9 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl4564]) ).
thf(zip_derived_cl68_3756,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl909_3757,plain,
( ( sum @ n26 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3758,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_3759,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_3760,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15727,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n26 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15724,zip_derived_cl68,zip_derived_cl909,zip_derived_cl67,zip_derived_cl376,zip_derived_cl230]) ).
thf(zip_derived_cl14_3761,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('527',plain,
( ( sk__1 != n9 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15727,zip_derived_cl14]) ).
thf(zip_derived_cl1539_3762,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3763,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4555,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n17 @ n9 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl4537]) ).
thf(zip_derived_cl631,plain,
( ( sum @ n17 @ n10 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3764,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630,plain,
( ( sum @ n17 @ n9 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3765,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398,plain,
( ( sum @ n9 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15038,plain,
( ( sk__2
= ( sum @ n26 @ n3 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4555,zip_derived_cl631,zip_derived_cl90,zip_derived_cl630,zip_derived_cl89,zip_derived_cl398]) ).
thf(zip_derived_cl903_3766,plain,
( ( sum @ n26 @ n3 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15673,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n17 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15038,zip_derived_cl903]) ).
thf(zip_derived_cl1_3767,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('528',plain,
( ( sk__1 != n9 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15673,zip_derived_cl1]) ).
thf(zip_derived_cl879_3768,plain,
( ( sum @ n25 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_3769,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3770,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4563,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n25 @ n9 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl4537]) ).
thf(zip_derived_cl15543,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n9 @ ( pred @ ( sum @ n25 @ n9 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl879,zip_derived_cl4563]) ).
thf(zip_derived_cl67_3771,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl878,plain,
( ( sum @ n25 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3772,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_3773,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15545,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n25 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15543,zip_derived_cl67,zip_derived_cl878,zip_derived_cl66,zip_derived_cl375,zip_derived_cl198]) ).
thf(zip_derived_cl16_3774,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('529',plain,
( ( sk__1 != n9 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15545,zip_derived_cl16]) ).
thf(zip_derived_cl1538_3775,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3776,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4554,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n16 @ n9 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl4537]) ).
thf(zip_derived_cl600,plain,
( ( sum @ n16 @ n10 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3777,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3778,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_3779,plain,
( ( sum @ n9 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15035,plain,
( ( sk__2
= ( sum @ n25 @ n2 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4554,zip_derived_cl600,zip_derived_cl89,zip_derived_cl599,zip_derived_cl88,zip_derived_cl397]) ).
thf(zip_derived_cl871_3780,plain,
( ( sum @ n25 @ n2 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15489,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n16 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15035,zip_derived_cl871]) ).
thf(zip_derived_cl3_3781,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('530',plain,
( ( sk__1 != n9 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15489,zip_derived_cl3]) ).
thf(zip_derived_cl848_3782,plain,
( ( sum @ n24 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_3783,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3784,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4562,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n24 @ n9 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl4537]) ).
thf(zip_derived_cl15321,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n9 @ ( pred @ ( sum @ n24 @ n9 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl848,zip_derived_cl4562]) ).
thf(zip_derived_cl66_3785,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl847_3786,plain,
( ( sum @ n24 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3787,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_3788,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_3789,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15322,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n24 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15321,zip_derived_cl66,zip_derived_cl847,zip_derived_cl65,zip_derived_cl374,zip_derived_cl166]) ).
thf(zip_derived_cl18_3790,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('531',plain,
( ( sk__1 != n9 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15322,zip_derived_cl18]) ).
thf(zip_derived_cl1537_3791,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3792,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4553,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n15 @ n9 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl4537]) ).
thf(zip_derived_cl569_3793,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3794,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl568_3795,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3796,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_3797,plain,
( ( sum @ n9 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15032,plain,
( ( sk__2
= ( sum @ n24 @ n1 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4553,zip_derived_cl569,zip_derived_cl88,zip_derived_cl568,zip_derived_cl87,zip_derived_cl396]) ).
thf(zip_derived_cl839_3798,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15261,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n15 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15032,zip_derived_cl839]) ).
thf(zip_derived_cl5_3799,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('532',plain,
( ( sk__1 != n9 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15261,zip_derived_cl5]) ).
thf(zip_derived_cl817_3800,plain,
( ( sum @ n23 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_3801,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3802,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4561,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n23 @ n9 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl4537]) ).
thf(zip_derived_cl15129,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n9 @ ( pred @ ( sum @ n23 @ n9 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl817,zip_derived_cl4561]) ).
thf(zip_derived_cl65_3803,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl816_3804,plain,
( ( sum @ n23 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3805,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_3806,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_3807,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15130,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n23 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15129,zip_derived_cl65,zip_derived_cl816,zip_derived_cl64,zip_derived_cl373,zip_derived_cl134]) ).
thf(zip_derived_cl20_3808,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('533',plain,
( ( sk__1 != n9 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15130,zip_derived_cl20]) ).
thf(zip_derived_cl1536_3809,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3810,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4552,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n14 @ n9 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl4537]) ).
thf(zip_derived_cl538_3811,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3812,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl537_3813,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_3814,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395,plain,
( ( sum @ n9 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15030,plain,
( ( sk__2
= ( sum @ n23 @ n0 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4552,zip_derived_cl538,zip_derived_cl87,zip_derived_cl537,zip_derived_cl86,zip_derived_cl395]) ).
thf(zip_derived_cl807_3815,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15070,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n14 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15030,zip_derived_cl807]) ).
thf(zip_derived_cl7_3816,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('534',plain,
( ( sk__1 != n9 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15070,zip_derived_cl7]) ).
thf(zip_derived_cl1535_3817,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3818,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4551,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n13 @ n9 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl4537]) ).
thf(zip_derived_cl507_3819,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_3820,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506_3821,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_3822,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394,plain,
( ( sum @ n9 @ n21 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15027,plain,
( ( sk__2
= ( sum @ n22 @ n30 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4551,zip_derived_cl507,zip_derived_cl86,zip_derived_cl506,zip_derived_cl85,zip_derived_cl394]) ).
thf(zip_derived_cl806_3823,plain,
( ( sum @ n22 @ n30 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15067,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n13 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15027,zip_derived_cl806]) ).
thf(zip_derived_cl9_3824,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('535',plain,
( ( sk__1 != n9 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15067,zip_derived_cl9]) ).
thf(zip_derived_cl1544_3825,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3826,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4560,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n22 @ n9 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl4537]) ).
thf(zip_derived_cl786_3827,plain,
( ( sum @ n22 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3828,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl785,plain,
( ( sum @ n22 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3829,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_3830,plain,
( ( sum @ n9 @ n30 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_3831,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15061,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n22 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4560,zip_derived_cl786,zip_derived_cl64,zip_derived_cl785,zip_derived_cl63,zip_derived_cl403,zip_derived_cl102]) ).
thf(zip_derived_cl22_3832,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('536',plain,
( ( sk__1 != n9 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15061,zip_derived_cl22]) ).
thf(zip_derived_cl1534_3833,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3834,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4550,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n12 @ n9 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl4537]) ).
thf(zip_derived_cl476_3835,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_3836,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475_3837,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3838,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393,plain,
( ( sum @ n9 @ n20 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl774_3839,plain,
( ( sum @ n21 @ n29 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15025,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n12 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4550,zip_derived_cl476,zip_derived_cl85,zip_derived_cl475,zip_derived_cl84,zip_derived_cl393,zip_derived_cl774]) ).
thf(zip_derived_cl11_3840,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('537',plain,
( ( sk__1 != n9 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15025,zip_derived_cl11]) ).
thf(zip_derived_cl1533_3841,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3842,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4549,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n11 @ n9 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl4537]) ).
thf(zip_derived_cl445_3843,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_3844,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_3845,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3846,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_3847,plain,
( ( sum @ n9 @ n19 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742_3848,plain,
( ( sum @ n20 @ n28 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15023,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n11 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4549,zip_derived_cl445,zip_derived_cl84,zip_derived_cl444,zip_derived_cl83,zip_derived_cl392,zip_derived_cl742]) ).
thf(zip_derived_cl13_3849,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('538',plain,
( ( sk_ != n11 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15023,zip_derived_cl13]) ).
thf(zip_derived_cl1532_3850,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3851,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4548,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n10 @ n9 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl4537]) ).
thf(zip_derived_cl414_3852,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_3853,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_3854,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3855,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391_3856,plain,
( ( sum @ n9 @ n18 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710_3857,plain,
( ( sum @ n19 @ n27 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15019,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n10 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4548,zip_derived_cl414,zip_derived_cl83,zip_derived_cl413,zip_derived_cl82,zip_derived_cl391,zip_derived_cl710]) ).
thf(zip_derived_cl15_3858,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('539',plain,
( ( sk__1 != n9 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15019,zip_derived_cl15]) ).
thf(zip_derived_cl1531_3859,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3860,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4547,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n9 @ n9 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl4537]) ).
thf(zip_derived_cl383_3861,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_3862,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_3863,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_3864,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_3865,plain,
( ( sum @ n9 @ n17 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678,plain,
( ( sum @ n18 @ n26 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15017,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n9 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4547,zip_derived_cl383,zip_derived_cl82,zip_derived_cl382,zip_derived_cl81,zip_derived_cl390,zip_derived_cl678]) ).
thf(zip_derived_cl17_3866,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('540',plain,
( ( sk__1 != n9 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15017,zip_derived_cl17]) ).
thf(zip_derived_cl1525_3867,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4537_3868,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2147]) ).
thf(zip_derived_cl4541,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ n3 @ n9 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl4537]) ).
thf(zip_derived_cl197_3869,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3870,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_3871,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3872,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_3873,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486,plain,
( ( sum @ n12 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15003,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n3 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4541,zip_derived_cl197,zip_derived_cl76,zip_derived_cl196,zip_derived_cl75,zip_derived_cl384,zip_derived_cl486]) ).
thf(zip_derived_cl29_3874,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('541',plain,
( ( sk__1 != n9 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15003,zip_derived_cl29]) ).
thf(zip_derived_cl1535_3875,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_3876,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9376,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n13 @ n29 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl9362]) ).
thf(zip_derived_cl527_3877,plain,
( ( sum @ n13 @ n30 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3878,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526_3879,plain,
( ( sum @ n13 @ n29 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3880,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1003_3881,plain,
( ( sum @ n29 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_3882,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20602,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n13 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9376,zip_derived_cl527,zip_derived_cl75,zip_derived_cl526,zip_derived_cl74,zip_derived_cl1003,zip_derived_cl443]) ).
thf(zip_derived_cl11_3883,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('542',plain,
( ( sk_ != n13 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20602,zip_derived_cl11]) ).
thf(zip_derived_cl1535_3884,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_3885,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9156,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n13 @ n26 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl9142]) ).
thf(zip_derived_cl524_3886,plain,
( ( sum @ n13 @ n27 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3887,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523_3888,plain,
( ( sum @ n13 @ n26 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3889,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl907_3890,plain,
( ( sum @ n26 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_3891,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20192,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n13 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9156,zip_derived_cl524,zip_derived_cl72,zip_derived_cl523,zip_derived_cl71,zip_derived_cl907,zip_derived_cl344]) ).
thf(zip_derived_cl20_3892,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('543',plain,
( ( sk_ != n13 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20192,zip_derived_cl20]) ).
thf(zip_derived_cl1535_3893,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_3894,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9091,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n13 @ n25 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl9077]) ).
thf(zip_derived_cl523_3895,plain,
( ( sum @ n13 @ n26 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3896,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_3897,plain,
( ( sum @ n13 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3898,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl875_3899,plain,
( ( sum @ n25 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_3900,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20056,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n13 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9091,zip_derived_cl523,zip_derived_cl71,zip_derived_cl522,zip_derived_cl70,zip_derived_cl875,zip_derived_cl311]) ).
thf(zip_derived_cl23_3901,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('544',plain,
( ( sk_ != n13 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20056,zip_derived_cl23]) ).
thf(zip_derived_cl1535_3902,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_3903,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9026,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n13 @ n24 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl9012]) ).
thf(zip_derived_cl522_3904,plain,
( ( sum @ n13 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3905,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521_3906,plain,
( ( sum @ n13 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3907,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl843_3908,plain,
( ( sum @ n24 @ n5 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309_3909,plain,
( ( sum @ n6 @ n29 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19920,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n13 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9026,zip_derived_cl522,zip_derived_cl70,zip_derived_cl521,zip_derived_cl69,zip_derived_cl843,zip_derived_cl309]) ).
thf(zip_derived_cl26_3910,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('545',plain,
( ( sk_ != n13 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19920,zip_derived_cl26]) ).
thf(zip_derived_cl1535_3911,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_3912,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8896,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n13 @ n22 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8882]) ).
thf(zip_derived_cl520_3913,plain,
( ( sum @ n13 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3914,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519,plain,
( ( sum @ n13 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3915,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl779_3916,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_3917,plain,
( ( sum @ n4 @ n25 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19646,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n13 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8896,zip_derived_cl520,zip_derived_cl68,zip_derived_cl519,zip_derived_cl67,zip_derived_cl779,zip_derived_cl243]) ).
thf(zip_derived_cl1_3918,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('546',plain,
( ( sk_ != n13 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19646,zip_derived_cl1]) ).
thf(zip_derived_cl1535_3919,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_3920,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8828,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n13 @ n21 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8814]) ).
thf(zip_derived_cl519_3921,plain,
( ( sum @ n13 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3922,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518_3923,plain,
( ( sum @ n13 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3924,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747_3925,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_3926,plain,
( ( sum @ n3 @ n23 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19510,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n13 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8828,zip_derived_cl519,zip_derived_cl67,zip_derived_cl518,zip_derived_cl66,zip_derived_cl747,zip_derived_cl210]) ).
thf(zip_derived_cl4_3927,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('547',plain,
( ( sk_ != n13 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19510,zip_derived_cl4]) ).
thf(zip_derived_cl1535_3928,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_3929,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8752,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n13 @ n20 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8738]) ).
thf(zip_derived_cl518_3930,plain,
( ( sum @ n13 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3931,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517_3932,plain,
( ( sum @ n13 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3933,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715_3934,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_3935,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19374,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n13 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8752,zip_derived_cl518,zip_derived_cl66,zip_derived_cl517,zip_derived_cl65,zip_derived_cl715,zip_derived_cl177]) ).
thf(zip_derived_cl7_3936,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('548',plain,
( ( sk_ != n13 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19374,zip_derived_cl7]) ).
thf(zip_derived_cl1535_3937,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_3938,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8687,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n13 @ n19 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8673]) ).
thf(zip_derived_cl517_3939,plain,
( ( sum @ n13 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3940,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516_3941,plain,
( ( sum @ n13 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3942,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl683_3943,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_3944,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19238,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n13 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8687,zip_derived_cl517,zip_derived_cl65,zip_derived_cl516,zip_derived_cl64,zip_derived_cl683,zip_derived_cl144]) ).
thf(zip_derived_cl10_3945,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('549',plain,
( ( sk_ != n13 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19238,zip_derived_cl10]) ).
thf(zip_derived_cl1535_3946,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_3947,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8612,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n13 @ n18 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8598]) ).
thf(zip_derived_cl516_3948,plain,
( ( sum @ n13 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3949,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_3950,plain,
( ( sum @ n13 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3951,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682_3952,plain,
( ( sum @ n18 @ n30 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_3953,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19102,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n13 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8612,zip_derived_cl516,zip_derived_cl64,zip_derived_cl515,zip_derived_cl63,zip_derived_cl682,zip_derived_cl111]) ).
thf(zip_derived_cl13_3954,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('550',plain,
( ( sk_ != n13 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19102,zip_derived_cl13]) ).
thf(zip_derived_cl1535_3955,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_3956,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8543,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n13 @ n17 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8529]) ).
thf(zip_derived_cl515_3957,plain,
( ( sum @ n13 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3958,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_3959,plain,
( ( sum @ n13 @ n17 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3960,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_3961,plain,
( ( sum @ n17 @ n29 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1039_3962,plain,
( ( sum @ n30 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18964,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n13 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8543,zip_derived_cl515,zip_derived_cl63,zip_derived_cl514,zip_derived_cl93,zip_derived_cl650,zip_derived_cl1039]) ).
thf(zip_derived_cl16_3963,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('551',plain,
( ( sk_ != n13 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18964,zip_derived_cl16]) ).
thf(zip_derived_cl1535_3964,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_3965,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8475,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n13 @ n16 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8461]) ).
thf(zip_derived_cl514_3966,plain,
( ( sum @ n13 @ n17 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3967,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_3968,plain,
( ( sum @ n13 @ n16 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_3969,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618_3970,plain,
( ( sum @ n16 @ n28 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1006_3971,plain,
( ( sum @ n29 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18828,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n13 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8475,zip_derived_cl514,zip_derived_cl93,zip_derived_cl513,zip_derived_cl92,zip_derived_cl618,zip_derived_cl1006]) ).
thf(zip_derived_cl19_3972,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('552',plain,
( ( sk_ != n13 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18828,zip_derived_cl19]) ).
thf(zip_derived_cl1535_3973,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_3974,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8331,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n13 @ n14 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8317]) ).
thf(zip_derived_cl512_3975,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_3976,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl511_3977,plain,
( ( sum @ n13 @ n14 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3978,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554_3979,plain,
( ( sum @ n14 @ n26 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl940_3980,plain,
( ( sum @ n27 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18556,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n13 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8331,zip_derived_cl512,zip_derived_cl91,zip_derived_cl511,zip_derived_cl90,zip_derived_cl554,zip_derived_cl940]) ).
thf(zip_derived_cl25_3981,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('553',plain,
( ( sk_ != n13 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18556,zip_derived_cl25]) ).
thf(zip_derived_cl1535_3982,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_3983,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8266,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n13 @ n13 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8252]) ).
thf(zip_derived_cl511_3984,plain,
( ( sum @ n13 @ n14 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3985,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl510_3986,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3987,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_3988,plain,
( ( sum @ n13 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl907_3989,plain,
( ( sum @ n26 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18420,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n13 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8266,zip_derived_cl511,zip_derived_cl90,zip_derived_cl510,zip_derived_cl89,zip_derived_cl522,zip_derived_cl907]) ).
thf(zip_derived_cl28_3990,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('554',plain,
( ( sk_ != n13 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18420,zip_derived_cl28]) ).
thf(zip_derived_cl1535_3991,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_3992,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8196,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n13 @ n12 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl8182]) ).
thf(zip_derived_cl510_3993,plain,
( ( sum @ n13 @ n13 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_3994,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl509_3995,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3996,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_3997,plain,
( ( sum @ n12 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl874_3998,plain,
( ( sum @ n25 @ n5 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18282,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n13 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8196,zip_derived_cl510,zip_derived_cl89,zip_derived_cl509,zip_derived_cl88,zip_derived_cl490,zip_derived_cl874]) ).
thf(zip_derived_cl0_3999,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('555',plain,
( ( sk_ != n13 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18282,zip_derived_cl0]) ).
thf(zip_derived_cl1535_4000,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_4001,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5435,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n13 @ n11 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl5421]) ).
thf(zip_derived_cl509_4002,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_4003,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508_4004,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4005,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458_4006,plain,
( ( sum @ n11 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl841_4007,plain,
( ( sum @ n24 @ n3 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16074,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n13 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5435,zip_derived_cl509,zip_derived_cl88,zip_derived_cl508,zip_derived_cl87,zip_derived_cl458,zip_derived_cl841]) ).
thf(zip_derived_cl3_4008,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('556',plain,
( ( sk_ != n13 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16074,zip_derived_cl3]) ).
thf(zip_derived_cl1535_4009,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4994,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n13 @ n10 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl4980]) ).
thf(zip_derived_cl508_4011,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4012,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507_4013,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_4014,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426,plain,
( ( sum @ n10 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl808_4015,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15557,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n13 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4994,zip_derived_cl508,zip_derived_cl87,zip_derived_cl507,zip_derived_cl86,zip_derived_cl426,zip_derived_cl808]) ).
thf(zip_derived_cl6_4016,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('557',plain,
( ( sk_ != n13 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15557,zip_derived_cl6]) ).
thf(zip_derived_cl1535_4017,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_4018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4101,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n13 @ n8 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl4087]) ).
thf(zip_derived_cl506_4019,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_4020,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505_4021,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4022,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_4023,plain,
( ( sum @ n8 @ n20 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14640,plain,
( ( sk__2
= ( sum @ n21 @ n28 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4101,zip_derived_cl506,zip_derived_cl85,zip_derived_cl505,zip_derived_cl84,zip_derived_cl362]) ).
thf(zip_derived_cl773_4024,plain,
( ( sum @ n21 @ n28 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14884,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n13 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14640,zip_derived_cl773]) ).
thf(zip_derived_cl12_4025,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('558',plain,
( ( sk_ != n13 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14884,zip_derived_cl12]) ).
thf(zip_derived_cl1535_4026,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_4027,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3680,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n13 @ n7 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl3666]) ).
thf(zip_derived_cl505_4028,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4029,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504_4030,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4031,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_4032,plain,
( ( sum @ n7 @ n19 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14311,plain,
( ( sk__2
= ( sum @ n20 @ n26 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3680,zip_derived_cl505,zip_derived_cl84,zip_derived_cl504,zip_derived_cl83,zip_derived_cl330]) ).
thf(zip_derived_cl740_4033,plain,
( ( sum @ n20 @ n26 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14700,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14311,zip_derived_cl740]) ).
thf(zip_derived_cl15_4034,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('559',plain,
( ( sk_ != n13 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14700,zip_derived_cl15]) ).
thf(zip_derived_cl1535_4035,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_4036,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2948,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n13 @ n3 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl2932]) ).
thf(zip_derived_cl501_4037,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_4038,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500_4039,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_4040,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_4041,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13930,plain,
( ( sk__2
= ( sum @ n16 @ n18 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2948,zip_derived_cl501,zip_derived_cl80,zip_derived_cl500,zip_derived_cl79,zip_derived_cl202]) ).
thf(zip_derived_cl608,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14108,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13930,zip_derived_cl608]) ).
thf(zip_derived_cl27_4042,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('560',plain,
( ( sk_ != n13 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14108,zip_derived_cl27]) ).
thf(zip_derived_cl498_4043,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1535_4044,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_4045,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2741,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n13 @ n0 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl2727]) ).
thf(zip_derived_cl13772,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n0 @ ( pred @ ( sum @ n13 @ n0 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl498,zip_derived_cl2741]) ).
thf(zip_derived_cl77_4046,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_4047,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4048,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_4049,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13774,plain,
( ( sk__2
= ( sum @ n13 @ n12 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13772,zip_derived_cl77,zip_derived_cl497,zip_derived_cl76,zip_derived_cl106]) ).
thf(zip_derived_cl509_4050,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13802,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13774,zip_derived_cl509]) ).
thf(zip_derived_cl5_4051,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('561',plain,
( ( sk_ != n13 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13802,zip_derived_cl5]) ).
thf(zip_derived_cl1542_4052,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4053,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5001,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n20 @ n10 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl4980]) ).
thf(zip_derived_cl725_4054,plain,
( ( sum @ n20 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4055,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_4056,plain,
( ( sum @ n20 @ n10 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4057,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_4058,plain,
( ( sum @ n10 @ n29 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15575,plain,
( ( sk__2
= ( sum @ n30 @ n8 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5001,zip_derived_cl725,zip_derived_cl63,zip_derived_cl724,zip_derived_cl93,zip_derived_cl433]) ).
thf(zip_derived_cl1032_4059,plain,
( ( sum @ n30 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16651,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n20 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15575,zip_derived_cl1032]) ).
thf(zip_derived_cl23_4060,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('562',plain,
( ( sk__1 != n10 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16651,zip_derived_cl23]) ).
thf(zip_derived_cl1541_4061,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4062,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5000,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n19 @ n10 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl4980]) ).
thf(zip_derived_cl694,plain,
( ( sum @ n19 @ n11 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4063,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl693_4064,plain,
( ( sum @ n19 @ n10 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4065,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_4066,plain,
( ( sum @ n10 @ n28 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15572,plain,
( ( sk__2
= ( sum @ n29 @ n7 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5000,zip_derived_cl694,zip_derived_cl93,zip_derived_cl693,zip_derived_cl92,zip_derived_cl432]) ).
thf(zip_derived_cl1000_4067,plain,
( ( sum @ n29 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16396,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n19 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15572,zip_derived_cl1000]) ).
thf(zip_derived_cl25_4068,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('563',plain,
( ( sk__1 != n10 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16396,zip_derived_cl25]) ).
thf(zip_derived_cl973_4069,plain,
( ( sum @ n28 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_4070,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4071,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5009,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n28 @ n10 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl4980]) ).
thf(zip_derived_cl16202,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n10 @ ( pred @ ( sum @ n28 @ n10 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl973,zip_derived_cl5009]) ).
thf(zip_derived_cl71_4072,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl972_4073,plain,
( ( sum @ n28 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4074,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_4075,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_4076,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16205,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n28 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16202,zip_derived_cl71,zip_derived_cl972,zip_derived_cl70,zip_derived_cl410,zip_derived_cl327]) ).
thf(zip_derived_cl7_4077,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('564',plain,
( ( sk__1 != n10 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16205,zip_derived_cl7]) ).
thf(zip_derived_cl1540_4078,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4079,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4999,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n18 @ n10 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl4980]) ).
thf(zip_derived_cl663,plain,
( ( sum @ n18 @ n11 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4080,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662_4081,plain,
( ( sum @ n18 @ n10 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4082,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_4083,plain,
( ( sum @ n10 @ n27 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15569,plain,
( ( sk__2
= ( sum @ n28 @ n6 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4999,zip_derived_cl663,zip_derived_cl92,zip_derived_cl662,zip_derived_cl91,zip_derived_cl431]) ).
thf(zip_derived_cl968_4084,plain,
( ( sum @ n28 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16151,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n18 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15569,zip_derived_cl968]) ).
thf(zip_derived_cl27_4085,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('565',plain,
( ( sk_ != n18 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16151,zip_derived_cl27]) ).
thf(zip_derived_cl942_4086,plain,
( ( sum @ n27 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_4087,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4088,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5008,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n27 @ n10 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl4980]) ).
thf(zip_derived_cl15972,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n10 @ ( pred @ ( sum @ n27 @ n10 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl942,zip_derived_cl5008]) ).
thf(zip_derived_cl70_4089,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl941_4090,plain,
( ( sum @ n27 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4091,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_4092,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_4093,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15974,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n27 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15972,zip_derived_cl70,zip_derived_cl941,zip_derived_cl69,zip_derived_cl409,zip_derived_cl295]) ).
thf(zip_derived_cl9_4094,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('566',plain,
( ( sk__1 != n10 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15974,zip_derived_cl9]) ).
thf(zip_derived_cl1539_4095,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4096,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4998,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n17 @ n10 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl4980]) ).
thf(zip_derived_cl632,plain,
( ( sum @ n17 @ n11 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4097,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631_4098,plain,
( ( sum @ n17 @ n10 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4099,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430,plain,
( ( sum @ n10 @ n26 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15566,plain,
( ( sk__2
= ( sum @ n27 @ n5 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4998,zip_derived_cl632,zip_derived_cl91,zip_derived_cl631,zip_derived_cl90,zip_derived_cl430]) ).
thf(zip_derived_cl936_4100,plain,
( ( sum @ n27 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15914,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n17 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15566,zip_derived_cl936]) ).
thf(zip_derived_cl29_4101,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('567',plain,
( ( sk__1 != n10 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15914,zip_derived_cl29]) ).
thf(zip_derived_cl911,plain,
( ( sum @ n26 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_4102,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5007,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n26 @ n10 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl4980]) ).
thf(zip_derived_cl15736,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n10 @ ( pred @ ( sum @ n26 @ n10 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl911,zip_derived_cl5007]) ).
thf(zip_derived_cl69_4104,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl910_4105,plain,
( ( sum @ n26 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4106,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_4107,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_4108,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15738,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n26 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15736,zip_derived_cl69,zip_derived_cl910,zip_derived_cl68,zip_derived_cl408,zip_derived_cl263]) ).
thf(zip_derived_cl11_4109,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('568',plain,
( ( sk__1 != n10 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15738,zip_derived_cl11]) ).
thf(zip_derived_cl1538_4110,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4111,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4997,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n16 @ n10 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl4980]) ).
thf(zip_derived_cl601_4112,plain,
( ( sum @ n16 @ n11 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4113,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600_4114,plain,
( ( sum @ n16 @ n10 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_4115,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429,plain,
( ( sum @ n10 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15563,plain,
( ( sk__2
= ( sum @ n26 @ n4 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4997,zip_derived_cl601,zip_derived_cl90,zip_derived_cl600,zip_derived_cl89,zip_derived_cl429]) ).
thf(zip_derived_cl904_4116,plain,
( ( sum @ n26 @ n4 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15682,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n16 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15563,zip_derived_cl904]) ).
thf(zip_derived_cl0_4117,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('569',plain,
( ( sk__1 != n10 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15682,zip_derived_cl0]) ).
thf(zip_derived_cl1547_4118,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4119,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5006,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n25 @ n10 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl4980]) ).
thf(zip_derived_cl880_4120,plain,
( ( sum @ n25 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4121,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl879_4122,plain,
( ( sum @ n25 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4123,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4124,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_4125,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15586,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n25 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5006,zip_derived_cl880,zip_derived_cl68,zip_derived_cl879,zip_derived_cl67,zip_derived_cl407,zip_derived_cl231]) ).
thf(zip_derived_cl13_4126,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('570',plain,
( ( sk__1 != n10 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15586,zip_derived_cl13]) ).
thf(zip_derived_cl1546_4127,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4128,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5005,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n24 @ n10 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl4980]) ).
thf(zip_derived_cl849_4129,plain,
( ( sum @ n24 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4130,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl848_4131,plain,
( ( sum @ n24 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4132,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_4133,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15584,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n24 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5005,zip_derived_cl849,zip_derived_cl67,zip_derived_cl848,zip_derived_cl66,zip_derived_cl406,zip_derived_cl199]) ).
thf(zip_derived_cl15_4134,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('571',plain,
( ( sk__1 != n10 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15584,zip_derived_cl15]) ).
thf(zip_derived_cl1545_4135,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4136,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5004,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n23 @ n10 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl4980]) ).
thf(zip_derived_cl818_4137,plain,
( ( sum @ n23 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4138,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl817_4139,plain,
( ( sum @ n23 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4140,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_4141,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_4142,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15582,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n23 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5004,zip_derived_cl818,zip_derived_cl66,zip_derived_cl817,zip_derived_cl65,zip_derived_cl405,zip_derived_cl167]) ).
thf(zip_derived_cl17_4143,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('572',plain,
( ( sk__1 != n10 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15582,zip_derived_cl17]) ).
thf(zip_derived_cl1544_4144,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4145,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5003,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n22 @ n10 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl4980]) ).
thf(zip_derived_cl787_4146,plain,
( ( sum @ n22 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4147,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl786_4148,plain,
( ( sum @ n22 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4149,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_4150,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_4151,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15580,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n22 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5003,zip_derived_cl787,zip_derived_cl65,zip_derived_cl786,zip_derived_cl64,zip_derived_cl404,zip_derived_cl135]) ).
thf(zip_derived_cl19_4152,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('573',plain,
( ( sk__1 != n10 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15580,zip_derived_cl19]) ).
thf(zip_derived_cl1543_4153,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4154,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl5002,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n21 @ n10 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl4980]) ).
thf(zip_derived_cl756_4155,plain,
( ( sum @ n21 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4156,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl755_4157,plain,
( ( sum @ n21 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4158,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4159,plain,
( ( sum @ n10 @ n30 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_4160,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15578,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n21 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5002,zip_derived_cl756,zip_derived_cl64,zip_derived_cl755,zip_derived_cl63,zip_derived_cl434,zip_derived_cl103]) ).
thf(zip_derived_cl21_4161,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('574',plain,
( ( sk__1 != n10 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15578,zip_derived_cl21]) ).
thf(zip_derived_cl1537_4162,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4163,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4996,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n15 @ n10 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl4980]) ).
thf(zip_derived_cl570_4164,plain,
( ( sum @ n15 @ n11 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_4165,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_4166,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_4167,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_4168,plain,
( ( sum @ n10 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl872_4169,plain,
( ( sum @ n25 @ n3 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15561,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n15 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4996,zip_derived_cl570,zip_derived_cl89,zip_derived_cl569,zip_derived_cl88,zip_derived_cl428,zip_derived_cl872]) ).
thf(zip_derived_cl2_4170,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('575',plain,
( ( sk__1 != n10 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15561,zip_derived_cl2]) ).
thf(zip_derived_cl1536_4171,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4172,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4995,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n14 @ n10 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl4980]) ).
thf(zip_derived_cl539_4173,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_4174,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538_4175,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4176,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_4177,plain,
( ( sum @ n10 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl840_4178,plain,
( ( sum @ n24 @ n2 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15559,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n14 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4995,zip_derived_cl539,zip_derived_cl88,zip_derived_cl538,zip_derived_cl87,zip_derived_cl427,zip_derived_cl840]) ).
thf(zip_derived_cl4_4179,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('576',plain,
( ( sk__1 != n10 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15559,zip_derived_cl4]) ).
thf(zip_derived_cl1534_4180,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4181,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4993,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n12 @ n10 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl4980]) ).
thf(zip_derived_cl477_4182,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_4183,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_4184,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_4185,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_4186,plain,
( ( sum @ n10 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl776_4187,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15555,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n12 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4993,zip_derived_cl477,zip_derived_cl86,zip_derived_cl476,zip_derived_cl85,zip_derived_cl425,zip_derived_cl776]) ).
thf(zip_derived_cl8_4188,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('577',plain,
( ( sk__1 != n10 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15555,zip_derived_cl8]) ).
thf(zip_derived_cl1533_4189,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4190,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4992,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n11 @ n10 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl4980]) ).
thf(zip_derived_cl446_4191,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_4192,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_4193,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4194,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_4195,plain,
( ( sum @ n10 @ n20 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl775_4196,plain,
( ( sum @ n21 @ n30 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15553,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n11 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4992,zip_derived_cl446,zip_derived_cl85,zip_derived_cl445,zip_derived_cl84,zip_derived_cl424,zip_derived_cl775]) ).
thf(zip_derived_cl10_4197,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('578',plain,
( ( sk_ != n11 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15553,zip_derived_cl10]) ).
thf(zip_derived_cl1532_4198,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4199,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4991,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n10 @ n10 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl4980]) ).
thf(zip_derived_cl415_4200,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4201,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_4202,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4203,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423_4204,plain,
( ( sum @ n10 @ n19 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743_4205,plain,
( ( sum @ n20 @ n29 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15551,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n10 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4991,zip_derived_cl415,zip_derived_cl84,zip_derived_cl414,zip_derived_cl83,zip_derived_cl423,zip_derived_cl743]) ).
thf(zip_derived_cl12_4206,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('579',plain,
( ( sk__1 != n10 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15551,zip_derived_cl12]) ).
thf(zip_derived_cl1531_4207,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4208,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4990,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n9 @ n10 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl4980]) ).
thf(zip_derived_cl384_4209,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4210,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383_4211,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_4212,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_4213,plain,
( ( sum @ n10 @ n18 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711_4214,plain,
( ( sum @ n19 @ n28 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15549,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n9 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4990,zip_derived_cl384,zip_derived_cl83,zip_derived_cl383,zip_derived_cl82,zip_derived_cl422,zip_derived_cl711]) ).
thf(zip_derived_cl14_4215,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('580',plain,
( ( sk__1 != n10 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15549,zip_derived_cl14]) ).
thf(zip_derived_cl1525_4216,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4980_4217,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl2148]) ).
thf(zip_derived_cl4984,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ n3 @ n10 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl4980]) ).
thf(zip_derived_cl198_4218,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_4219,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_4220,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4221,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_4222,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519_4223,plain,
( ( sum @ n13 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15464,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n3 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4984,zip_derived_cl198,zip_derived_cl77,zip_derived_cl197,zip_derived_cl76,zip_derived_cl416,zip_derived_cl519]) ).
thf(zip_derived_cl26_4224,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('581',plain,
( ( sk__1 != n10 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15464,zip_derived_cl26]) ).
thf(zip_derived_cl1532_4225,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_4226,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9373,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n10 @ n29 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl9362]) ).
thf(zip_derived_cl434_4227,plain,
( ( sum @ n10 @ n30 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4228,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_4229,plain,
( ( sum @ n10 @ n29 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4230,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1000_4231,plain,
( ( sum @ n29 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_4232,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20596,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n10 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9373,zip_derived_cl434,zip_derived_cl72,zip_derived_cl433,zip_derived_cl71,zip_derived_cl1000,zip_derived_cl347]) ).
thf(zip_derived_cl17_4233,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('582',plain,
( ( sk_ != n10 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20596,zip_derived_cl17]) ).
thf(zip_derived_cl1532_4234,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_4235,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9153,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n10 @ n26 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl9142]) ).
thf(zip_derived_cl431_4236,plain,
( ( sum @ n10 @ n27 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4237,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_4238,plain,
( ( sum @ n10 @ n26 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4239,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl904_4240,plain,
( ( sum @ n26 @ n4 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_4241,plain,
( ( sum @ n5 @ n30 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20186,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n10 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9153,zip_derived_cl431,zip_derived_cl69,zip_derived_cl430,zip_derived_cl68,zip_derived_cl904,zip_derived_cl279]) ).
thf(zip_derived_cl26_4242,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('583',plain,
( ( sk_ != n10 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20186,zip_derived_cl26]) ).
thf(zip_derived_cl1532_4243,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_4244,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9088,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n10 @ n25 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl9077]) ).
thf(zip_derived_cl430_4245,plain,
( ( sum @ n10 @ n26 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4246,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_4247,plain,
( ( sum @ n10 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4248,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl872_4249,plain,
( ( sum @ n25 @ n3 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_4250,plain,
( ( sum @ n4 @ n28 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20050,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n10 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9088,zip_derived_cl430,zip_derived_cl68,zip_derived_cl429,zip_derived_cl67,zip_derived_cl872,zip_derived_cl246]) ).
thf(zip_derived_cl29_4251,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('584',plain,
( ( sk_ != n10 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20050,zip_derived_cl29]) ).
thf(zip_derived_cl1532_4252,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9023,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n10 @ n24 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl9012]) ).
thf(zip_derived_cl429_4254,plain,
( ( sum @ n10 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4255,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_4256,plain,
( ( sum @ n10 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4257,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl840_4258,plain,
( ( sum @ n24 @ n2 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213,plain,
( ( sum @ n3 @ n26 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19914,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n10 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9023,zip_derived_cl429,zip_derived_cl67,zip_derived_cl428,zip_derived_cl66,zip_derived_cl840,zip_derived_cl213]) ).
thf(zip_derived_cl1_4259,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('585',plain,
( ( sk_ != n10 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19914,zip_derived_cl1]) ).
thf(zip_derived_cl1532_4260,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_4261,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8893,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n10 @ n22 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8882]) ).
thf(zip_derived_cl427_4262,plain,
( ( sum @ n10 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4263,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_4264,plain,
( ( sum @ n10 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4265,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl776_4266,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_4267,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19640,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n10 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8893,zip_derived_cl427,zip_derived_cl65,zip_derived_cl426,zip_derived_cl64,zip_derived_cl776,zip_derived_cl147]) ).
thf(zip_derived_cl7_4268,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('586',plain,
( ( sk_ != n10 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19640,zip_derived_cl7]) ).
thf(zip_derived_cl1532_4269,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_4270,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8825,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n10 @ n21 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8814]) ).
thf(zip_derived_cl426_4271,plain,
( ( sum @ n10 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4272,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_4273,plain,
( ( sum @ n10 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4274,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl775_4275,plain,
( ( sum @ n21 @ n30 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_4276,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19504,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n10 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8825,zip_derived_cl426,zip_derived_cl64,zip_derived_cl425,zip_derived_cl63,zip_derived_cl775,zip_derived_cl114]) ).
thf(zip_derived_cl10_4277,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('587',plain,
( ( sk_ != n10 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19504,zip_derived_cl10]) ).
thf(zip_derived_cl1532_4278,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_4279,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8749,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n10 @ n20 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8738]) ).
thf(zip_derived_cl425_4280,plain,
( ( sum @ n10 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4281,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_4282,plain,
( ( sum @ n10 @ n20 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4283,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743_4284,plain,
( ( sum @ n20 @ n29 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1042_4285,plain,
( ( sum @ n30 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19368,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n10 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8749,zip_derived_cl425,zip_derived_cl63,zip_derived_cl424,zip_derived_cl93,zip_derived_cl743,zip_derived_cl1042]) ).
thf(zip_derived_cl13_4286,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('588',plain,
( ( sk_ != n10 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19368,zip_derived_cl13]) ).
thf(zip_derived_cl1532_4287,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_4288,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8684,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n10 @ n19 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8673]) ).
thf(zip_derived_cl424_4289,plain,
( ( sum @ n10 @ n20 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4290,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423_4291,plain,
( ( sum @ n10 @ n19 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4292,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711_4293,plain,
( ( sum @ n19 @ n28 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1009_4294,plain,
( ( sum @ n29 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19232,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n10 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8684,zip_derived_cl424,zip_derived_cl93,zip_derived_cl423,zip_derived_cl92,zip_derived_cl711,zip_derived_cl1009]) ).
thf(zip_derived_cl16_4295,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('589',plain,
( ( sk_ != n10 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19232,zip_derived_cl16]) ).
thf(zip_derived_cl1532_4296,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_4297,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8609,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n10 @ n18 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8598]) ).
thf(zip_derived_cl423_4298,plain,
( ( sum @ n10 @ n19 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4299,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_4300,plain,
( ( sum @ n10 @ n18 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4301,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679_4302,plain,
( ( sum @ n18 @ n27 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl976_4303,plain,
( ( sum @ n28 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19094,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n10 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8609,zip_derived_cl423,zip_derived_cl92,zip_derived_cl422,zip_derived_cl91,zip_derived_cl679,zip_derived_cl976]) ).
thf(zip_derived_cl19_4304,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('590',plain,
( ( sk_ != n10 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19094,zip_derived_cl19]) ).
thf(zip_derived_cl1532_4305,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_4306,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8540,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n10 @ n17 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8529]) ).
thf(zip_derived_cl422_4307,plain,
( ( sum @ n10 @ n18 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4308,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_4309,plain,
( ( sum @ n10 @ n17 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4310,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647_4311,plain,
( ( sum @ n17 @ n26 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl943_4312,plain,
( ( sum @ n27 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18958,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n10 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8540,zip_derived_cl422,zip_derived_cl91,zip_derived_cl421,zip_derived_cl90,zip_derived_cl647,zip_derived_cl943]) ).
thf(zip_derived_cl22_4313,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('591',plain,
( ( sk_ != n10 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18958,zip_derived_cl22]) ).
thf(zip_derived_cl1532_4314,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_4315,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8472,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n10 @ n16 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8461]) ).
thf(zip_derived_cl421_4316,plain,
( ( sum @ n10 @ n17 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4317,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_4318,plain,
( ( sum @ n10 @ n16 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_4319,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615_4320,plain,
( ( sum @ n16 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl910_4321,plain,
( ( sum @ n26 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18822,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n10 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8472,zip_derived_cl421,zip_derived_cl90,zip_derived_cl420,zip_derived_cl89,zip_derived_cl615,zip_derived_cl910]) ).
thf(zip_derived_cl25_4322,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('592',plain,
( ( sk_ != n10 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18822,zip_derived_cl25]) ).
thf(zip_derived_cl1532_4323,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_4324,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8328,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n10 @ n14 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8317]) ).
thf(zip_derived_cl419_4325,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_4326,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_4327,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4328,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551_4329,plain,
( ( sum @ n14 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl844_4330,plain,
( ( sum @ n24 @ n6 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18550,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n10 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8328,zip_derived_cl419,zip_derived_cl88,zip_derived_cl418,zip_derived_cl87,zip_derived_cl551,zip_derived_cl844]) ).
thf(zip_derived_cl0_4331,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('593',plain,
( ( sk_ != n10 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18550,zip_derived_cl0]) ).
thf(zip_derived_cl1532_4332,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_4333,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8263,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n10 @ n13 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8252]) ).
thf(zip_derived_cl418_4334,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4335,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417_4336,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_4337,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519_4338,plain,
( ( sum @ n13 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl811_4339,plain,
( ( sum @ n23 @ n4 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18412,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n10 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8263,zip_derived_cl418,zip_derived_cl87,zip_derived_cl417,zip_derived_cl86,zip_derived_cl519,zip_derived_cl811]) ).
thf(zip_derived_cl3_4340,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('594',plain,
( ( sk_ != n10 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18412,zip_derived_cl3]) ).
thf(zip_derived_cl1532_4341,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_4342,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8193,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n10 @ n12 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl8182]) ).
thf(zip_derived_cl417_4343,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_4344,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_4345,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_4346,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487_4347,plain,
( ( sum @ n12 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl778_4348,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18276,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n10 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8193,zip_derived_cl417,zip_derived_cl86,zip_derived_cl416,zip_derived_cl85,zip_derived_cl487,zip_derived_cl778]) ).
thf(zip_derived_cl6_4349,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('595',plain,
( ( sk_ != n10 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18276,zip_derived_cl6]) ).
thf(zip_derived_cl1532_4350,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_4351,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5432,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n10 @ n11 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl5421]) ).
thf(zip_derived_cl416_4352,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_4353,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_4354,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4355,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455_4356,plain,
( ( sum @ n11 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745_4357,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16066,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n10 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5432,zip_derived_cl416,zip_derived_cl85,zip_derived_cl415,zip_derived_cl84,zip_derived_cl455,zip_derived_cl745]) ).
thf(zip_derived_cl9_4358,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('596',plain,
( ( sk_ != n10 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16066,zip_derived_cl9]) ).
thf(zip_derived_cl1532_4359,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_4360,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4098,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n10 @ n8 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl4087]) ).
thf(zip_derived_cl413_4361,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_4362,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_4363,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4364,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_4365,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_4366,plain,
( ( sum @ n18 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14635,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n10 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4098,zip_derived_cl413,zip_derived_cl82,zip_derived_cl412,zip_derived_cl81,zip_derived_cl359,zip_derived_cl677]) ).
thf(zip_derived_cl18_4367,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('597',plain,
( ( sk_ != n10 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14635,zip_derived_cl18]) ).
thf(zip_derived_cl1532_4368,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_4369,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3677,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n10 @ n7 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl3666]) ).
thf(zip_derived_cl412_4370,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4371,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_4372,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_4373,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_4374,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644_4375,plain,
( ( sum @ n17 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14307,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3677,zip_derived_cl412,zip_derived_cl81,zip_derived_cl411,zip_derived_cl80,zip_derived_cl327,zip_derived_cl644]) ).
thf(zip_derived_cl21_4376,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('598',plain,
( ( sk_ != n10 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14307,zip_derived_cl21]) ).
thf(zip_derived_cl1532_4377,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_4378,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2945,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n10 @ n3 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl2932]) ).
thf(zip_derived_cl408_4379,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_4380,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4381,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4382,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_4383,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_4384,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13925,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2945,zip_derived_cl408,zip_derived_cl77,zip_derived_cl407,zip_derived_cl76,zip_derived_cl199,zip_derived_cl512]) ).
thf(zip_derived_cl2_4385,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('599',plain,
( ( sk_ != n10 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13925,zip_derived_cl2]) ).
thf(zip_derived_cl1532_4386,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_4387,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2738,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n10 @ n0 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl2727]) ).
thf(zip_derived_cl405_4388,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_4389,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_4390,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4391,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_4392,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_4393,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13738,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2738,zip_derived_cl405,zip_derived_cl74,zip_derived_cl404,zip_derived_cl73,zip_derived_cl103,zip_derived_cl413]) ).
thf(zip_derived_cl11_4394,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('600',plain,
( ( sk_ != n10 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13738,zip_derived_cl11]) ).
thf(zip_derived_cl1550_4395,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4396,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9041,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n28 @ n24 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl9012]) ).
thf(zip_derived_cl987_4397,plain,
( ( sum @ n28 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_4398,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl986_4399,plain,
( ( sum @ n28 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4400,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl858_4401,plain,
( ( sum @ n24 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl758,plain,
( ( sum @ n21 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19952,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n28 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9041,zip_derived_cl987,zip_derived_cl85,zip_derived_cl986,zip_derived_cl84,zip_derived_cl858,zip_derived_cl758]) ).
thf(zip_derived_cl27_4402,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('601',plain,
( ( sk__1 != n24 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19952,zip_derived_cl27]) ).
thf(zip_derived_cl1549_4403,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4404,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9040,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n27 @ n24 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl9012]) ).
thf(zip_derived_cl956_4405,plain,
( ( sum @ n27 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4406,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl955_4407,plain,
( ( sum @ n27 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4408,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl857_4409,plain,
( ( sum @ n24 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726,plain,
( ( sum @ n20 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19950,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n27 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9040,zip_derived_cl956,zip_derived_cl84,zip_derived_cl955,zip_derived_cl83,zip_derived_cl857,zip_derived_cl726]) ).
thf(zip_derived_cl29_4410,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('602',plain,
( ( sk__1 != n24 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19950,zip_derived_cl29]) ).
thf(zip_derived_cl1548_4411,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4412,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9039,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n26 @ n24 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl9012]) ).
thf(zip_derived_cl925_4413,plain,
( ( sum @ n26 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_4414,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl924_4415,plain,
( ( sum @ n26 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_4416,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl856_4417,plain,
( ( sum @ n24 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl694_4418,plain,
( ( sum @ n19 @ n11 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19948,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n26 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9039,zip_derived_cl925,zip_derived_cl83,zip_derived_cl924,zip_derived_cl82,zip_derived_cl856,zip_derived_cl694]) ).
thf(zip_derived_cl0_4419,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('603',plain,
( ( sk__1 != n24 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19948,zip_derived_cl0]) ).
thf(zip_derived_cl1547_4420,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4421,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9038,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n25 @ n24 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl9012]) ).
thf(zip_derived_cl894_4422,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_4423,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl893_4424,plain,
( ( sum @ n25 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4425,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl855_4426,plain,
( ( sum @ n24 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662_4427,plain,
( ( sum @ n18 @ n10 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19946,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n25 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9038,zip_derived_cl894,zip_derived_cl82,zip_derived_cl893,zip_derived_cl81,zip_derived_cl855,zip_derived_cl662]) ).
thf(zip_derived_cl2_4428,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('604',plain,
( ( sk__1 != n24 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19946,zip_derived_cl2]) ).
thf(zip_derived_cl1546_4429,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9037,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n24 @ n24 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl9012]) ).
thf(zip_derived_cl863_4431,plain,
( ( sum @ n24 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4432,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl862_4433,plain,
( ( sum @ n24 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_4434,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl854_4435,plain,
( ( sum @ n24 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630_4436,plain,
( ( sum @ n17 @ n9 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19944,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n24 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9037,zip_derived_cl863,zip_derived_cl81,zip_derived_cl862,zip_derived_cl80,zip_derived_cl854,zip_derived_cl630]) ).
thf(zip_derived_cl4_4437,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('605',plain,
( ( sk__1 != n24 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19944,zip_derived_cl4]) ).
thf(zip_derived_cl1545_4438,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9036,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n23 @ n24 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl9012]) ).
thf(zip_derived_cl832_4440,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_4441,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl831_4442,plain,
( ( sum @ n23 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_4443,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl853_4444,plain,
( ( sum @ n24 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19942,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n23 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9036,zip_derived_cl832,zip_derived_cl80,zip_derived_cl831,zip_derived_cl79,zip_derived_cl853,zip_derived_cl598]) ).
thf(zip_derived_cl6_4445,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('606',plain,
( ( sk__1 != n24 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19942,zip_derived_cl6]) ).
thf(zip_derived_cl1544_4446,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4447,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9035,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n22 @ n24 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl9012]) ).
thf(zip_derived_cl801_4448,plain,
( ( sum @ n22 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_4449,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_4450,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4451,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl852_4452,plain,
( ( sum @ n24 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl566_4453,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19940,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n22 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9035,zip_derived_cl801,zip_derived_cl79,zip_derived_cl800,zip_derived_cl78,zip_derived_cl852,zip_derived_cl566]) ).
thf(zip_derived_cl8_4454,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('607',plain,
( ( sk__1 != n24 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19940,zip_derived_cl8]) ).
thf(zip_derived_cl1543_4455,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4456,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9034,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n21 @ n24 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl9012]) ).
thf(zip_derived_cl770_4457,plain,
( ( sum @ n21 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4458,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl769_4459,plain,
( ( sum @ n21 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_4460,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl851,plain,
( ( sum @ n24 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534_4461,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19938,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n21 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9034,zip_derived_cl770,zip_derived_cl78,zip_derived_cl769,zip_derived_cl77,zip_derived_cl851,zip_derived_cl534]) ).
thf(zip_derived_cl10_4462,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('608',plain,
( ( sk__1 != n24 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19938,zip_derived_cl10]) ).
thf(zip_derived_cl1542_4463,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4464,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9033,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n20 @ n24 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl9012]) ).
thf(zip_derived_cl739_4465,plain,
( ( sum @ n20 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_4466,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_4467,plain,
( ( sum @ n20 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4468,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl850_4469,plain,
( ( sum @ n24 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_4470,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19936,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n20 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9033,zip_derived_cl739,zip_derived_cl77,zip_derived_cl738,zip_derived_cl76,zip_derived_cl850,zip_derived_cl502]) ).
thf(zip_derived_cl12_4471,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('609',plain,
( ( sk__1 != n24 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19936,zip_derived_cl12]) ).
thf(zip_derived_cl1541_4472,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4473,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9032,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n19 @ n24 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl9012]) ).
thf(zip_derived_cl708_4474,plain,
( ( sum @ n19 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4475,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl707_4476,plain,
( ( sum @ n19 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_4477,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl849_4478,plain,
( ( sum @ n24 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_4479,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19932,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n19 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9032,zip_derived_cl708,zip_derived_cl76,zip_derived_cl707,zip_derived_cl75,zip_derived_cl849,zip_derived_cl470]) ).
thf(zip_derived_cl14_4480,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('610',plain,
( ( sk__1 != n24 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19932,zip_derived_cl14]) ).
thf(zip_derived_cl1540_4481,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4482,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9031,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n18 @ n24 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl9012]) ).
thf(zip_derived_cl677_4483,plain,
( ( sum @ n18 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_4484,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl676_4485,plain,
( ( sum @ n18 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_4486,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl848_4487,plain,
( ( sum @ n24 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_4488,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19930,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n18 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9031,zip_derived_cl677,zip_derived_cl75,zip_derived_cl676,zip_derived_cl74,zip_derived_cl848,zip_derived_cl438]) ).
thf(zip_derived_cl16_4489,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('611',plain,
( ( sk_ != n18 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19930,zip_derived_cl16]) ).
thf(zip_derived_cl1539_4490,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4491,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9030,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n17 @ n24 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl9012]) ).
thf(zip_derived_cl646_4492,plain,
( ( sum @ n17 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_4493,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645_4494,plain,
( ( sum @ n17 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4495,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl847_4496,plain,
( ( sum @ n24 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_4497,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19928,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n17 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9030,zip_derived_cl646,zip_derived_cl74,zip_derived_cl645,zip_derived_cl73,zip_derived_cl847,zip_derived_cl406]) ).
thf(zip_derived_cl18_4498,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('612',plain,
( ( sk__1 != n24 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19928,zip_derived_cl18]) ).
thf(zip_derived_cl1538_4499,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4500,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9029,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n16 @ n24 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl9012]) ).
thf(zip_derived_cl615_4501,plain,
( ( sum @ n16 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4502,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614_4503,plain,
( ( sum @ n16 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4504,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl846_4505,plain,
( ( sum @ n24 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_4506,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19926,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n16 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9029,zip_derived_cl615,zip_derived_cl73,zip_derived_cl614,zip_derived_cl72,zip_derived_cl846,zip_derived_cl374]) ).
thf(zip_derived_cl20_4507,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('613',plain,
( ( sk__1 != n24 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19926,zip_derived_cl20]) ).
thf(zip_derived_cl1537_4508,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4509,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9028,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n15 @ n24 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl9012]) ).
thf(zip_derived_cl584_4510,plain,
( ( sum @ n15 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4511,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583_4512,plain,
( ( sum @ n15 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4513,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl845_4514,plain,
( ( sum @ n24 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_4515,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19924,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n15 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9028,zip_derived_cl584,zip_derived_cl72,zip_derived_cl583,zip_derived_cl71,zip_derived_cl845,zip_derived_cl342]) ).
thf(zip_derived_cl22_4516,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('614',plain,
( ( sk__1 != n24 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19924,zip_derived_cl22]) ).
thf(zip_derived_cl1536_4517,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4518,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9027,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n14 @ n24 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl9012]) ).
thf(zip_derived_cl553_4519,plain,
( ( sum @ n14 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4520,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552_4521,plain,
( ( sum @ n14 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4522,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl844_4523,plain,
( ( sum @ n24 @ n6 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_4524,plain,
( ( sum @ n7 @ n30 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19922,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n14 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9027,zip_derived_cl553,zip_derived_cl71,zip_derived_cl552,zip_derived_cl70,zip_derived_cl844,zip_derived_cl341]) ).
thf(zip_derived_cl24_4525,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('615',plain,
( ( sk__1 != n24 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19922,zip_derived_cl24]) ).
thf(zip_derived_cl1534_4526,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4527,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9025,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n12 @ n24 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl9012]) ).
thf(zip_derived_cl491_4528,plain,
( ( sum @ n12 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4529,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_4530,plain,
( ( sum @ n12 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4531,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl842_4532,plain,
( ( sum @ n24 @ n4 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_4533,plain,
( ( sum @ n5 @ n28 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19918,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n12 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9025,zip_derived_cl491,zip_derived_cl69,zip_derived_cl490,zip_derived_cl68,zip_derived_cl842,zip_derived_cl277]) ).
thf(zip_derived_cl28_4534,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('616',plain,
( ( sk__1 != n24 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19918,zip_derived_cl28]) ).
thf(zip_derived_cl1533_4535,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4536,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9024,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n11 @ n24 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl9012]) ).
thf(zip_derived_cl460_4537,plain,
( ( sum @ n11 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4538,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_4539,plain,
( ( sum @ n11 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4540,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl841_4541,plain,
( ( sum @ n24 @ n3 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_4542,plain,
( ( sum @ n4 @ n27 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19916,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n11 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9024,zip_derived_cl460,zip_derived_cl68,zip_derived_cl459,zip_derived_cl67,zip_derived_cl841,zip_derived_cl245]) ).
thf(zip_derived_cl30_4543,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('617',plain,
( ( sk_ != n11 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19916,zip_derived_cl30]) ).
thf(zip_derived_cl1531_4544,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4545,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9022,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n9 @ n24 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl9012]) ).
thf(zip_derived_cl398_4546,plain,
( ( sum @ n9 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4547,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_4548,plain,
( ( sum @ n9 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4549,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl839_4550,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_4551,plain,
( ( sum @ n2 @ n25 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19910,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n9 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9022,zip_derived_cl398,zip_derived_cl66,zip_derived_cl397,zip_derived_cl65,zip_derived_cl839,zip_derived_cl181]) ).
thf(zip_derived_cl3_4552,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('618',plain,
( ( sk__1 != n24 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19910,zip_derived_cl3]) ).
thf(zip_derived_cl1525_4553,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9012_4554,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl2513,zip_derived_cl56]) ).
thf(zip_derived_cl9016,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ n3 @ n24 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl9012]) ).
thf(zip_derived_cl212_4555,plain,
( ( sum @ n3 @ n25 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4556,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_4557,plain,
( ( sum @ n3 @ n24 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4558,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl864,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl950_4559,plain,
( ( sum @ n27 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19898,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n3 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9016,zip_derived_cl212,zip_derived_cl91,zip_derived_cl211,zip_derived_cl90,zip_derived_cl864,zip_derived_cl950]) ).
thf(zip_derived_cl15_4560,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('619',plain,
( ( sk__1 != n24 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19898,zip_derived_cl15]) ).
thf(zip_derived_cl1537_4561,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_4562,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9378,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n15 @ n29 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl9362]) ).
thf(zip_derived_cl589_4563,plain,
( ( sum @ n15 @ n30 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_4564,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588_4565,plain,
( ( sum @ n15 @ n29 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4566,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1005_4567,plain,
( ( sum @ n29 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507_4568,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20606,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n15 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9378,zip_derived_cl589,zip_derived_cl77,zip_derived_cl588,zip_derived_cl76,zip_derived_cl1005,zip_derived_cl507]) ).
thf(zip_derived_cl7_4569,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('620',plain,
( ( sk_ != n15 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20606,zip_derived_cl7]) ).
thf(zip_derived_cl1537_4570,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_4571,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9158,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n15 @ n26 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl9142]) ).
thf(zip_derived_cl586_4572,plain,
( ( sum @ n15 @ n27 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_4573,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585_4574,plain,
( ( sum @ n15 @ n26 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4575,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl909_4576,plain,
( ( sum @ n26 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_4577,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20196,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n15 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9158,zip_derived_cl586,zip_derived_cl74,zip_derived_cl585,zip_derived_cl73,zip_derived_cl909,zip_derived_cl408]) ).
thf(zip_derived_cl16_4578,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('621',plain,
( ( sk_ != n15 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20196,zip_derived_cl16]) ).
thf(zip_derived_cl1537_4579,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_4580,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9093,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n15 @ n25 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl9077]) ).
thf(zip_derived_cl585_4581,plain,
( ( sum @ n15 @ n26 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4582,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584_4583,plain,
( ( sum @ n15 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4584,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl877_4585,plain,
( ( sum @ n25 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_4586,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20060,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n15 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9093,zip_derived_cl585,zip_derived_cl73,zip_derived_cl584,zip_derived_cl72,zip_derived_cl877,zip_derived_cl375]) ).
thf(zip_derived_cl19_4587,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('622',plain,
( ( sk_ != n15 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20060,zip_derived_cl19]) ).
thf(zip_derived_cl1537_4588,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_4589,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8898,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n15 @ n22 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8882]) ).
thf(zip_derived_cl582_4590,plain,
( ( sum @ n15 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4591,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581_4592,plain,
( ( sum @ n15 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4593,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl781_4594,plain,
( ( sum @ n22 @ n5 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307_4595,plain,
( ( sum @ n6 @ n27 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19652,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n15 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8898,zip_derived_cl582,zip_derived_cl70,zip_derived_cl581,zip_derived_cl69,zip_derived_cl781,zip_derived_cl307]) ).
thf(zip_derived_cl28_4596,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('623',plain,
( ( sk_ != n15 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19652,zip_derived_cl28]) ).
thf(zip_derived_cl1537_4597,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_4598,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8830,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n15 @ n21 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8814]) ).
thf(zip_derived_cl581_4599,plain,
( ( sum @ n15 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4600,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580_4601,plain,
( ( sum @ n15 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4602,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl749_4603,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_4604,plain,
( ( sum @ n5 @ n25 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19514,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n15 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8830,zip_derived_cl581,zip_derived_cl69,zip_derived_cl580,zip_derived_cl68,zip_derived_cl749,zip_derived_cl274]) ).
thf(zip_derived_cl0_4605,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('624',plain,
( ( sk_ != n15 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19514,zip_derived_cl0]) ).
thf(zip_derived_cl1537_4606,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_4607,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8754,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n15 @ n20 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8738]) ).
thf(zip_derived_cl580_4608,plain,
( ( sum @ n15 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4609,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579_4610,plain,
( ( sum @ n15 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4611,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_4612,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_4613,plain,
( ( sum @ n4 @ n23 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19378,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n15 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8754,zip_derived_cl580,zip_derived_cl68,zip_derived_cl579,zip_derived_cl67,zip_derived_cl717,zip_derived_cl241]) ).
thf(zip_derived_cl3_4614,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('625',plain,
( ( sk_ != n15 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19378,zip_derived_cl3]) ).
thf(zip_derived_cl1537_4615,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_4616,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8689,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n15 @ n19 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8673]) ).
thf(zip_derived_cl579_4617,plain,
( ( sum @ n15 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4618,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_4619,plain,
( ( sum @ n15 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4620,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl685_4621,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19242,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n15 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8689,zip_derived_cl579,zip_derived_cl67,zip_derived_cl578,zip_derived_cl66,zip_derived_cl685,zip_derived_cl208]) ).
thf(zip_derived_cl6_4622,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('626',plain,
( ( sk_ != n15 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19242,zip_derived_cl6]) ).
thf(zip_derived_cl1537_4623,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_4624,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8614,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n15 @ n18 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8598]) ).
thf(zip_derived_cl578_4625,plain,
( ( sum @ n15 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4626,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577_4627,plain,
( ( sum @ n15 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4628,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653_4629,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_4630,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19106,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n15 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8614,zip_derived_cl578,zip_derived_cl66,zip_derived_cl577,zip_derived_cl65,zip_derived_cl653,zip_derived_cl175]) ).
thf(zip_derived_cl9_4631,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('627',plain,
( ( sk_ != n15 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19106,zip_derived_cl9]) ).
thf(zip_derived_cl1537_4632,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_4633,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8545,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n15 @ n17 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8529]) ).
thf(zip_derived_cl577_4634,plain,
( ( sum @ n15 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4635,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_4636,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4637,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_4638,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_4639,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18970,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n15 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8545,zip_derived_cl577,zip_derived_cl65,zip_derived_cl576,zip_derived_cl64,zip_derived_cl621,zip_derived_cl142]) ).
thf(zip_derived_cl12_4640,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('628',plain,
( ( sk_ != n15 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18970,zip_derived_cl12]) ).
thf(zip_derived_cl1537_4641,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_4642,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8477,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n15 @ n16 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8461]) ).
thf(zip_derived_cl576_4643,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4644,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575_4645,plain,
( ( sum @ n15 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4646,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl620_4647,plain,
( ( sum @ n16 @ n30 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_4648,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18832,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n15 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8477,zip_derived_cl576,zip_derived_cl64,zip_derived_cl575,zip_derived_cl63,zip_derived_cl620,zip_derived_cl109]) ).
thf(zip_derived_cl15_4649,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('629',plain,
( ( sk_ != n15 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18832,zip_derived_cl15]) ).
thf(zip_derived_cl1537_4650,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_4651,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8333,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n15 @ n14 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8317]) ).
thf(zip_derived_cl574_4652,plain,
( ( sum @ n15 @ n15 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4653,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl573_4654,plain,
( ( sum @ n15 @ n14 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4655,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556_4656,plain,
( ( sum @ n14 @ n28 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1004_4657,plain,
( ( sum @ n29 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18560,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n15 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8333,zip_derived_cl574,zip_derived_cl93,zip_derived_cl573,zip_derived_cl92,zip_derived_cl556,zip_derived_cl1004]) ).
thf(zip_derived_cl21_4658,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('630',plain,
( ( sk_ != n15 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18560,zip_derived_cl21]) ).
thf(zip_derived_cl1537_4659,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_4660,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8268,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n15 @ n13 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl8252]) ).
thf(zip_derived_cl573_4661,plain,
( ( sum @ n15 @ n14 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4662,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572_4663,plain,
( ( sum @ n15 @ n13 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4664,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524_4665,plain,
( ( sum @ n13 @ n27 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl971_4666,plain,
( ( sum @ n28 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18424,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n15 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8268,zip_derived_cl573,zip_derived_cl92,zip_derived_cl572,zip_derived_cl91,zip_derived_cl524,zip_derived_cl971]) ).
thf(zip_derived_cl24_4667,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('631',plain,
( ( sk_ != n15 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18424,zip_derived_cl24]) ).
thf(zip_derived_cl1565_4668,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1537_4669,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4670,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2165,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n15 @ sk__1 ) ) ) ) )
<= ( sk_ = n15 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl31]) ).
thf(zip_derived_cl5883,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n15 @ n12 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2165]) ).
thf(zip_derived_cl44_4671,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5976,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n15 @ n12 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5883,zip_derived_cl44]) ).
thf(zip_derived_cl572_4672,plain,
( ( sum @ n15 @ n13 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4673,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571_4674,plain,
( ( sum @ n15 @ n12 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4675,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_4676,plain,
( ( sum @ n12 @ n26 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl938_4677,plain,
( ( sum @ n27 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16750,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n15 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5976,zip_derived_cl572,zip_derived_cl91,zip_derived_cl571,zip_derived_cl90,zip_derived_cl492,zip_derived_cl938]) ).
thf(zip_derived_cl27_4678,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('632',plain,
( ( sk_ != n15 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16750,zip_derived_cl27]) ).
thf(zip_derived_cl1537_4679,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_4680,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5437,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n15 @ n11 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl5421]) ).
thf(zip_derived_cl571_4681,plain,
( ( sum @ n15 @ n12 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4682,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570_4683,plain,
( ( sum @ n15 @ n11 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_4684,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460_4685,plain,
( ( sum @ n11 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl905_4686,plain,
( ( sum @ n26 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16078,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n15 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5437,zip_derived_cl571,zip_derived_cl90,zip_derived_cl570,zip_derived_cl89,zip_derived_cl460,zip_derived_cl905]) ).
thf(zip_derived_cl30_4687,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('633',plain,
( ( sk_ != n15 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16078,zip_derived_cl30]) ).
thf(zip_derived_cl1537_4688,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_4689,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n15 @ n8 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl4087]) ).
thf(zip_derived_cl568_4690,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4691,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_4692,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_4693,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_4694,plain,
( ( sum @ n8 @ n22 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14642,plain,
( ( sk__2
= ( sum @ n23 @ n30 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4103,zip_derived_cl568,zip_derived_cl87,zip_derived_cl567,zip_derived_cl86,zip_derived_cl364]) ).
thf(zip_derived_cl837_4695,plain,
( ( sum @ n23 @ n30 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15239,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14642,zip_derived_cl837]) ).
thf(zip_derived_cl8_4696,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('634',plain,
( ( sk_ != n15 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15239,zip_derived_cl8]) ).
thf(zip_derived_cl1537_4697,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_4698,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3682,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n15 @ n7 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl3666]) ).
thf(zip_derived_cl567_4699,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_4700,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl566_4701,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_4702,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_4703,plain,
( ( sum @ n7 @ n21 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14313,plain,
( ( sk__2
= ( sum @ n22 @ n28 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3682,zip_derived_cl567,zip_derived_cl86,zip_derived_cl566,zip_derived_cl85,zip_derived_cl332]) ).
thf(zip_derived_cl804_4704,plain,
( ( sum @ n22 @ n28 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15063,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14313,zip_derived_cl804]) ).
thf(zip_derived_cl11_4705,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('635',plain,
( ( sk_ != n15 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15063,zip_derived_cl11]) ).
thf(zip_derived_cl563_4706,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_4707,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_4708,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2950,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n15 @ n3 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl2932]) ).
thf(zip_derived_cl13951,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n3 @ ( pred @ ( sum @ n15 @ n3 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl563,zip_derived_cl2950]) ).
thf(zip_derived_cl82_4709,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562_4710,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_4711,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_4712,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13952,plain,
( ( sk__2
= ( sum @ n18 @ n20 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13951,zip_derived_cl82,zip_derived_cl562,zip_derived_cl81,zip_derived_cl204]) ).
thf(zip_derived_cl672,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14334,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13952,zip_derived_cl672]) ).
thf(zip_derived_cl23_4713,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('636',plain,
( ( sk_ != n15 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14334,zip_derived_cl23]) ).
thf(zip_derived_cl560_4714,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1537_4715,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_4716,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2743,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n15 @ n0 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl2727]) ).
thf(zip_derived_cl13934,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n0 @ ( pred @ ( sum @ n15 @ n0 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl560,zip_derived_cl2743]) ).
thf(zip_derived_cl79_4717,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559_4718,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4719,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_4720,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13936,plain,
( ( sk__2
= ( sum @ n15 @ n14 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13934,zip_derived_cl79,zip_derived_cl559,zip_derived_cl78,zip_derived_cl108]) ).
thf(zip_derived_cl573_4721,plain,
( ( sum @ n15 @ n14 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13982,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13936,zip_derived_cl573]) ).
thf(zip_derived_cl1_4722,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('637',plain,
( ( sk_ != n15 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13982,zip_derived_cl1]) ).
thf(zip_derived_cl1536_4723,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_4724,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8197,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n14 @ n12 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8182]) ).
thf(zip_derived_cl541_4725,plain,
( ( sum @ n14 @ n13 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4726,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_4727,plain,
( ( sum @ n14 @ n12 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_4728,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_4729,plain,
( ( sum @ n12 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl906_4730,plain,
( ( sum @ n26 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18286,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n14 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8197,zip_derived_cl541,zip_derived_cl90,zip_derived_cl540,zip_derived_cl89,zip_derived_cl491,zip_derived_cl906]) ).
thf(zip_derived_cl29_4731,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('638',plain,
( ( sk__1 != n12 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18286,zip_derived_cl29]) ).
thf(zip_derived_cl1534_4732,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_4733,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8195,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n12 @ n12 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8182]) ).
thf(zip_derived_cl479_4734,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_4735,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_4736,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4737,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489_4738,plain,
( ( sum @ n12 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl842_4739,plain,
( ( sum @ n24 @ n4 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18280,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n12 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8195,zip_derived_cl479,zip_derived_cl88,zip_derived_cl478,zip_derived_cl87,zip_derived_cl489,zip_derived_cl842]) ).
thf(zip_derived_cl2_4740,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('639',plain,
( ( sk__1 != n12 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18280,zip_derived_cl2]) ).
thf(zip_derived_cl1533_4741,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_4742,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8194,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n11 @ n12 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8182]) ).
thf(zip_derived_cl448_4743,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_4744,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447_4745,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_4746,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_4747,plain,
( ( sum @ n12 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl810_4748,plain,
( ( sum @ n23 @ n3 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18278,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n11 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8194,zip_derived_cl448,zip_derived_cl87,zip_derived_cl447,zip_derived_cl86,zip_derived_cl488,zip_derived_cl810]) ).
thf(zip_derived_cl4_4749,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('640',plain,
( ( sk_ != n11 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18278,zip_derived_cl4]) ).
thf(zip_derived_cl1531_4750,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_4751,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8192,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n9 @ n12 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8182]) ).
thf(zip_derived_cl386_4752,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_4753,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_4754,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_4755,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_4756,plain,
( ( sum @ n12 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746_4757,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18274,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n9 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8192,zip_derived_cl386,zip_derived_cl85,zip_derived_cl385,zip_derived_cl84,zip_derived_cl486,zip_derived_cl746]) ).
thf(zip_derived_cl8_4758,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('641',plain,
( ( sk__1 != n12 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18274,zip_derived_cl8]) ).
thf(zip_derived_cl1525_4759,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8182_4760,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2238,zip_derived_cl44]) ).
thf(zip_derived_cl8186,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n3 @ n12 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8182]) ).
thf(zip_derived_cl200,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_4761,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_4762,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4763,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585_4764,plain,
( ( sum @ n15 @ n26 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18260,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n3 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8186,zip_derived_cl200,zip_derived_cl79,zip_derived_cl199,zip_derived_cl78,zip_derived_cl480,zip_derived_cl585]) ).
thf(zip_derived_cl20_4765,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('642',plain,
( ( sk__1 != n12 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18260,zip_derived_cl20]) ).
thf(zip_derived_cl1565_4766,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2178_4767,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n28 @ sk__1 ) ) ) ) )
<= ( sk_ = n28 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl31]) ).
thf(zip_derived_cl7671,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n28 @ n12 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2178]) ).
thf(zip_derived_cl44_4768,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7764,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n28 @ n12 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7671,zip_derived_cl44]) ).
thf(zip_derived_cl975_4769,plain,
( ( sum @ n28 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4770,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl974_4771,plain,
( ( sum @ n28 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4772,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_4773,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_4774,plain,
( ( sum @ n9 @ n20 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17964,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n28 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7764,zip_derived_cl975,zip_derived_cl73,zip_derived_cl974,zip_derived_cl72,zip_derived_cl474,zip_derived_cl393]) ).
thf(zip_derived_cl1_4775,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('643',plain,
( ( sk__1 != n12 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17964,zip_derived_cl1]) ).
thf(zip_derived_cl1565_4776,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2177_4777,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n27 @ sk__1 ) ) ) ) )
<= ( sk_ = n27 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl31]) ).
thf(zip_derived_cl7530,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n27 @ n12 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2177]) ).
thf(zip_derived_cl44_4778,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7623,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n27 @ n12 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7530,zip_derived_cl44]) ).
thf(zip_derived_cl944_4779,plain,
( ( sum @ n27 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4780,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl943_4781,plain,
( ( sum @ n27 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4782,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_4783,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_4784,plain,
( ( sum @ n8 @ n19 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17858,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n27 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7623,zip_derived_cl944,zip_derived_cl72,zip_derived_cl943,zip_derived_cl71,zip_derived_cl473,zip_derived_cl361]) ).
thf(zip_derived_cl3_4785,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('644',plain,
( ( sk__1 != n12 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17858,zip_derived_cl3]) ).
thf(zip_derived_cl1565_4786,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1548_4787,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4788,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2176,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n26 @ sk__1 ) ) ) ) )
<= ( sk_ = n26 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl31]) ).
thf(zip_derived_cl7380,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n26 @ n12 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2176]) ).
thf(zip_derived_cl44_4789,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7473,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n26 @ n12 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7380,zip_derived_cl44]) ).
thf(zip_derived_cl913_4790,plain,
( ( sum @ n26 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4791,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl912_4792,plain,
( ( sum @ n26 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4793,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_4794,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_4795,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17760,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n26 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7473,zip_derived_cl913,zip_derived_cl71,zip_derived_cl912,zip_derived_cl70,zip_derived_cl472,zip_derived_cl329]) ).
thf(zip_derived_cl5_4796,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('645',plain,
( ( sk__1 != n12 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17760,zip_derived_cl5]) ).
thf(zip_derived_cl1565_4797,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1547_4798,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4799,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2175,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n25 @ sk__1 ) ) ) ) )
<= ( sk_ = n25 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl31]) ).
thf(zip_derived_cl7242,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n25 @ n12 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2175]) ).
thf(zip_derived_cl44_4800,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7335,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n25 @ n12 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7242,zip_derived_cl44]) ).
thf(zip_derived_cl882_4801,plain,
( ( sum @ n25 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4802,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl881_4803,plain,
( ( sum @ n25 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4804,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_4805,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_4806,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17660,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n25 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7335,zip_derived_cl882,zip_derived_cl70,zip_derived_cl881,zip_derived_cl69,zip_derived_cl471,zip_derived_cl297]) ).
thf(zip_derived_cl7_4807,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('646',plain,
( ( sk__1 != n12 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17660,zip_derived_cl7]) ).
thf(zip_derived_cl1565_4808,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1546_4809,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4810,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2174,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n24 @ sk__1 ) ) ) ) )
<= ( sk_ = n24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl31]) ).
thf(zip_derived_cl7104,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n24 @ n12 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2174]) ).
thf(zip_derived_cl44_4811,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7197,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n24 @ n12 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7104,zip_derived_cl44]) ).
thf(zip_derived_cl851_4812,plain,
( ( sum @ n24 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4813,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl850_4814,plain,
( ( sum @ n24 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4815,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_4816,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_4817,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17562,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n24 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7197,zip_derived_cl851,zip_derived_cl69,zip_derived_cl850,zip_derived_cl68,zip_derived_cl470,zip_derived_cl265]) ).
thf(zip_derived_cl9_4818,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('647',plain,
( ( sk__1 != n12 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17562,zip_derived_cl9]) ).
thf(zip_derived_cl1565_4819,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1545_4820,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4821,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2173,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n23 @ sk__1 ) ) ) ) )
<= ( sk_ = n23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl31]) ).
thf(zip_derived_cl6966,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n23 @ n12 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2173]) ).
thf(zip_derived_cl44_4822,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7059,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n23 @ n12 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6966,zip_derived_cl44]) ).
thf(zip_derived_cl820_4823,plain,
( ( sum @ n23 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4824,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl819_4825,plain,
( ( sum @ n23 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4826,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469_4827,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_4828,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17462,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n23 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7059,zip_derived_cl820,zip_derived_cl68,zip_derived_cl819,zip_derived_cl67,zip_derived_cl469,zip_derived_cl233]) ).
thf(zip_derived_cl11_4829,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('648',plain,
( ( sk__1 != n12 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17462,zip_derived_cl11]) ).
thf(zip_derived_cl1565_4830,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1544_4831,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4832,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2172,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n22 @ sk__1 ) ) ) ) )
<= ( sk_ = n22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl31]) ).
thf(zip_derived_cl6831,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n22 @ n12 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2172]) ).
thf(zip_derived_cl44_4833,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6924,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n22 @ n12 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6831,zip_derived_cl44]) ).
thf(zip_derived_cl789_4834,plain,
( ( sum @ n22 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4835,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl788_4836,plain,
( ( sum @ n22 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4837,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_4838,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17370,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n22 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6924,zip_derived_cl789,zip_derived_cl67,zip_derived_cl788,zip_derived_cl66,zip_derived_cl468,zip_derived_cl201]) ).
thf(zip_derived_cl13_4839,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('649',plain,
( ( sk__1 != n12 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17370,zip_derived_cl13]) ).
thf(zip_derived_cl1565_4840,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1543_4841,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4842,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2171,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n21 @ sk__1 ) ) ) ) )
<= ( sk_ = n21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl31]) ).
thf(zip_derived_cl6696,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n21 @ n12 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2171]) ).
thf(zip_derived_cl44_4843,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6789,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n21 @ n12 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6696,zip_derived_cl44]) ).
thf(zip_derived_cl758_4844,plain,
( ( sum @ n21 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4845,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl757_4846,plain,
( ( sum @ n21 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4847,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_4848,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_4849,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17278,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n21 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6789,zip_derived_cl758,zip_derived_cl66,zip_derived_cl757,zip_derived_cl65,zip_derived_cl467,zip_derived_cl169]) ).
thf(zip_derived_cl15_4850,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('650',plain,
( ( sk__1 != n12 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17278,zip_derived_cl15]) ).
thf(zip_derived_cl1565_4851,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1542_4852,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4853,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2170,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n20 @ sk__1 ) ) ) ) )
<= ( sk_ = n20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl31]) ).
thf(zip_derived_cl6561,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n20 @ n12 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2170]) ).
thf(zip_derived_cl44_4854,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6654,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n20 @ n12 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6561,zip_derived_cl44]) ).
thf(zip_derived_cl727,plain,
( ( sum @ n20 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4855,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_4856,plain,
( ( sum @ n20 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4857,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_4858,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_4859,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17186,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n20 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6654,zip_derived_cl727,zip_derived_cl65,zip_derived_cl726,zip_derived_cl64,zip_derived_cl466,zip_derived_cl137]) ).
thf(zip_derived_cl17_4860,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('651',plain,
( ( sk__1 != n12 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17186,zip_derived_cl17]) ).
thf(zip_derived_cl1565_4861,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1541_4862,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4863,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2169,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n19 @ sk__1 ) ) ) ) )
<= ( sk_ = n19 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl31]) ).
thf(zip_derived_cl6426,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n19 @ n12 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2169]) ).
thf(zip_derived_cl44_4864,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6519,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n19 @ n12 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6426,zip_derived_cl44]) ).
thf(zip_derived_cl696,plain,
( ( sum @ n19 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4865,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl695,plain,
( ( sum @ n19 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4866,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_4867,plain,
( ( sum @ n12 @ n30 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_4868,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17092,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n19 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6519,zip_derived_cl696,zip_derived_cl64,zip_derived_cl695,zip_derived_cl63,zip_derived_cl496,zip_derived_cl105]) ).
thf(zip_derived_cl19_4869,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('652',plain,
( ( sk__1 != n12 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17092,zip_derived_cl19]) ).
thf(zip_derived_cl1565_4870,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1540_4871,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4872,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2168,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n18 @ sk__1 ) ) ) ) )
<= ( sk_ = n18 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl31]) ).
thf(zip_derived_cl6279,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n18 @ n12 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2168]) ).
thf(zip_derived_cl44_4873,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6372,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n18 @ n12 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6279,zip_derived_cl44]) ).
thf(zip_derived_cl665_4874,plain,
( ( sum @ n18 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4875,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664,plain,
( ( sum @ n18 @ n12 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4876,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_4877,plain,
( ( sum @ n12 @ n29 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1034_4878,plain,
( ( sum @ n30 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17006,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n18 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6372,zip_derived_cl665,zip_derived_cl63,zip_derived_cl664,zip_derived_cl93,zip_derived_cl495,zip_derived_cl1034]) ).
thf(zip_derived_cl21_4879,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('653',plain,
( ( sk_ != n18 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17006,zip_derived_cl21]) ).
thf(zip_derived_cl1565_4880,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1539_4881,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4882,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2167,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n17 @ sk__1 ) ) ) ) )
<= ( sk_ = n17 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl31]) ).
thf(zip_derived_cl6147,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n17 @ n12 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2167]) ).
thf(zip_derived_cl44_4883,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6240,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n17 @ n12 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6147,zip_derived_cl44]) ).
thf(zip_derived_cl634_4884,plain,
( ( sum @ n17 @ n13 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4885,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633_4886,plain,
( ( sum @ n17 @ n12 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4887,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_4888,plain,
( ( sum @ n12 @ n28 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1002_4889,plain,
( ( sum @ n29 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16922,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n17 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6240,zip_derived_cl634,zip_derived_cl93,zip_derived_cl633,zip_derived_cl92,zip_derived_cl494,zip_derived_cl1002]) ).
thf(zip_derived_cl23_4890,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('654',plain,
( ( sk__1 != n12 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16922,zip_derived_cl23]) ).
thf(zip_derived_cl1565_4891,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1538_4892,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl31_4893,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2166,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n16 @ sk__1 ) ) ) ) )
<= ( sk_ = n16 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl31]) ).
thf(zip_derived_cl6015,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ ( succ @ n12 ) ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n16 @ n12 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl2166]) ).
thf(zip_derived_cl44_4894,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6108,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n16 @ n12 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6015,zip_derived_cl44]) ).
thf(zip_derived_cl603_4895,plain,
( ( sum @ n16 @ n13 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4896,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602_4897,plain,
( ( sum @ n16 @ n12 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4898,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493_4899,plain,
( ( sum @ n12 @ n27 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl970_4900,plain,
( ( sum @ n28 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16836,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n16 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6108,zip_derived_cl603,zip_derived_cl92,zip_derived_cl602,zip_derived_cl91,zip_derived_cl493,zip_derived_cl970]) ).
thf(zip_derived_cl25_4901,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('655',plain,
( ( sk__1 != n12 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16836,zip_derived_cl25]) ).
thf(zip_derived_cl1534_4902,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_4903,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9375,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n12 @ n29 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl9362]) ).
thf(zip_derived_cl496_4904,plain,
( ( sum @ n12 @ n30 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_4905,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_4906,plain,
( ( sum @ n12 @ n29 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4907,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1002_4908,plain,
( ( sum @ n29 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_4909,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20600,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n12 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9375,zip_derived_cl496,zip_derived_cl74,zip_derived_cl495,zip_derived_cl73,zip_derived_cl1002,zip_derived_cl411]) ).
thf(zip_derived_cl13_4910,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('656',plain,
( ( sk_ != n12 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20600,zip_derived_cl13]) ).
thf(zip_derived_cl1534_4911,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_4912,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9155,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n12 @ n26 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl9142]) ).
thf(zip_derived_cl493_4913,plain,
( ( sum @ n12 @ n27 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4914,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_4915,plain,
( ( sum @ n12 @ n26 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4916,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl906_4917,plain,
( ( sum @ n26 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_4918,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20190,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n12 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9155,zip_derived_cl493,zip_derived_cl71,zip_derived_cl492,zip_derived_cl70,zip_derived_cl906,zip_derived_cl312]) ).
thf(zip_derived_cl22_4919,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('657',plain,
( ( sk_ != n12 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20190,zip_derived_cl22]) ).
thf(zip_derived_cl1534_4920,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_4921,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9090,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n12 @ n25 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl9077]) ).
thf(zip_derived_cl492_4922,plain,
( ( sum @ n12 @ n26 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4923,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_4924,plain,
( ( sum @ n12 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4925,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl874_4926,plain,
( ( sum @ n25 @ n5 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_4927,plain,
( ( sum @ n6 @ n30 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20054,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n12 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9090,zip_derived_cl492,zip_derived_cl70,zip_derived_cl491,zip_derived_cl69,zip_derived_cl874,zip_derived_cl310]) ).
thf(zip_derived_cl25_4928,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('658',plain,
( ( sk_ != n12 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20054,zip_derived_cl25]) ).
thf(zip_derived_cl1534_4929,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_4930,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8895,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n12 @ n22 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8882]) ).
thf(zip_derived_cl489_4931,plain,
( ( sum @ n12 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4932,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_4933,plain,
( ( sum @ n12 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4934,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl778_4935,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_4936,plain,
( ( sum @ n3 @ n24 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19644,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n12 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8895,zip_derived_cl489,zip_derived_cl67,zip_derived_cl488,zip_derived_cl66,zip_derived_cl778,zip_derived_cl211]) ).
thf(zip_derived_cl3_4937,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('659',plain,
( ( sk_ != n12 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19644,zip_derived_cl3]) ).
thf(zip_derived_cl1534_4938,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_4939,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8827,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n12 @ n21 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8814]) ).
thf(zip_derived_cl488_4940,plain,
( ( sum @ n12 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4941,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487_4942,plain,
( ( sum @ n12 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4943,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746_4944,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_4945,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19508,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n12 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8827,zip_derived_cl488,zip_derived_cl66,zip_derived_cl487,zip_derived_cl65,zip_derived_cl746,zip_derived_cl178]) ).
thf(zip_derived_cl6_4946,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('660',plain,
( ( sk_ != n12 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19508,zip_derived_cl6]) ).
thf(zip_derived_cl1534_4947,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_4948,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8751,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n12 @ n20 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8738]) ).
thf(zip_derived_cl487_4949,plain,
( ( sum @ n12 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4950,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_4951,plain,
( ( sum @ n12 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4952,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714_4953,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_4954,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19372,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n12 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8751,zip_derived_cl487,zip_derived_cl65,zip_derived_cl486,zip_derived_cl64,zip_derived_cl714,zip_derived_cl145]) ).
thf(zip_derived_cl9_4955,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('661',plain,
( ( sk_ != n12 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19372,zip_derived_cl9]) ).
thf(zip_derived_cl1534_4956,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_4957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8686,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n12 @ n19 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8673]) ).
thf(zip_derived_cl486_4958,plain,
( ( sum @ n12 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4959,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485_4960,plain,
( ( sum @ n12 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4961,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713_4962,plain,
( ( sum @ n19 @ n30 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_4963,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19236,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n12 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8686,zip_derived_cl486,zip_derived_cl64,zip_derived_cl485,zip_derived_cl63,zip_derived_cl713,zip_derived_cl112]) ).
thf(zip_derived_cl12_4964,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('662',plain,
( ( sk_ != n12 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19236,zip_derived_cl12]) ).
thf(zip_derived_cl1534_4965,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_4966,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8611,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n12 @ n18 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8598]) ).
thf(zip_derived_cl485_4967,plain,
( ( sum @ n12 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4968,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_4969,plain,
( ( sum @ n12 @ n18 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4970,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl681_4971,plain,
( ( sum @ n18 @ n29 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1040_4972,plain,
( ( sum @ n30 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19100,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n12 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8611,zip_derived_cl485,zip_derived_cl63,zip_derived_cl484,zip_derived_cl93,zip_derived_cl681,zip_derived_cl1040]) ).
thf(zip_derived_cl15_4973,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('663',plain,
( ( sk_ != n12 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19100,zip_derived_cl15]) ).
thf(zip_derived_cl1534_4974,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_4975,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8542,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n12 @ n17 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8529]) ).
thf(zip_derived_cl484_4976,plain,
( ( sum @ n12 @ n18 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_4977,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483_4978,plain,
( ( sum @ n12 @ n17 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4979,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649_4980,plain,
( ( sum @ n17 @ n28 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1007_4981,plain,
( ( sum @ n29 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18962,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n12 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8542,zip_derived_cl484,zip_derived_cl93,zip_derived_cl483,zip_derived_cl92,zip_derived_cl649,zip_derived_cl1007]) ).
thf(zip_derived_cl18_4982,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('664',plain,
( ( sk_ != n12 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18962,zip_derived_cl18]) ).
thf(zip_derived_cl1534_4983,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_4984,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8474,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n12 @ n16 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8461]) ).
thf(zip_derived_cl483_4985,plain,
( ( sum @ n12 @ n17 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4986,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_4987,plain,
( ( sum @ n12 @ n16 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4988,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617_4989,plain,
( ( sum @ n16 @ n27 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl974_4990,plain,
( ( sum @ n28 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18826,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n12 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8474,zip_derived_cl483,zip_derived_cl92,zip_derived_cl482,zip_derived_cl91,zip_derived_cl617,zip_derived_cl974]) ).
thf(zip_derived_cl21_4991,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('665',plain,
( ( sk_ != n12 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18826,zip_derived_cl21]) ).
thf(zip_derived_cl1534_4992,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_4993,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8330,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n12 @ n14 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8317]) ).
thf(zip_derived_cl481_4994,plain,
( ( sum @ n12 @ n15 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_4995,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_4996,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_4997,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553_4998,plain,
( ( sum @ n14 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl908,plain,
( ( sum @ n26 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18554,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n12 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8330,zip_derived_cl481,zip_derived_cl90,zip_derived_cl480,zip_derived_cl89,zip_derived_cl553,zip_derived_cl908]) ).
thf(zip_derived_cl27_4999,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('666',plain,
( ( sk_ != n12 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18554,zip_derived_cl27]) ).
thf(zip_derived_cl1534_5000,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_5001,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8265,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n12 @ n13 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl8252]) ).
thf(zip_derived_cl480_5002,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_5003,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479_5004,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_5005,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521_5006,plain,
( ( sum @ n13 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl875_5007,plain,
( ( sum @ n25 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18418,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n12 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8265,zip_derived_cl480,zip_derived_cl89,zip_derived_cl479,zip_derived_cl88,zip_derived_cl521,zip_derived_cl875]) ).
thf(zip_derived_cl30_5008,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('667',plain,
( ( sk_ != n12 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18418,zip_derived_cl30]) ).
thf(zip_derived_cl1534_5009,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_5010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5434,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n12 @ n11 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl5421]) ).
thf(zip_derived_cl478_5011,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_5012,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477_5013,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_5014,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_5015,plain,
( ( sum @ n11 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl809_5016,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16070,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n12 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5434,zip_derived_cl478,zip_derived_cl87,zip_derived_cl477,zip_derived_cl86,zip_derived_cl457,zip_derived_cl809]) ).
thf(zip_derived_cl5_5017,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('668',plain,
( ( sk_ != n12 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16070,zip_derived_cl5]) ).
thf(zip_derived_cl1534_5018,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_5019,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4100,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n12 @ n8 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl4087]) ).
thf(zip_derived_cl475_5020,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_5021,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_5022,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5023,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_5024,plain,
( ( sum @ n8 @ n19 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14639,plain,
( ( sk__2
= ( sum @ n20 @ n27 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4100,zip_derived_cl475,zip_derived_cl84,zip_derived_cl474,zip_derived_cl83,zip_derived_cl361]) ).
thf(zip_derived_cl741_5025,plain,
( ( sum @ n20 @ n27 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14705,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14639,zip_derived_cl741]) ).
thf(zip_derived_cl14_5026,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('669',plain,
( ( sk_ != n12 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14705,zip_derived_cl14]) ).
thf(zip_derived_cl1534_5027,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_5028,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3679,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n12 @ n7 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl3666]) ).
thf(zip_derived_cl474_5029,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5030,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_5031,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_5032,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_5033,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14310,plain,
( ( sk__2
= ( sum @ n19 @ n25 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3679,zip_derived_cl474,zip_derived_cl83,zip_derived_cl473,zip_derived_cl82,zip_derived_cl329]) ).
thf(zip_derived_cl708_5034,plain,
( ( sum @ n19 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14541,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14310,zip_derived_cl708]) ).
thf(zip_derived_cl17_5035,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('670',plain,
( ( sk_ != n12 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14541,zip_derived_cl17]) ).
thf(zip_derived_cl1534_5036,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_5037,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2947,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n12 @ n3 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl2932]) ).
thf(zip_derived_cl470_5038,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_5039,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469_5040,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5041,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_5042,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13929,plain,
( ( sk__2
= ( sum @ n15 @ n17 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2947,zip_derived_cl470,zip_derived_cl79,zip_derived_cl469,zip_derived_cl78,zip_derived_cl201]) ).
thf(zip_derived_cl576_5043,plain,
( ( sum @ n15 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13988,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13929,zip_derived_cl576]) ).
thf(zip_derived_cl29_5044,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('671',plain,
( ( sk_ != n12 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13988,zip_derived_cl29]) ).
thf(zip_derived_cl1534_5045,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5046,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2740,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n12 @ n0 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1534,zip_derived_cl2727]) ).
thf(zip_derived_cl467_5047,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5048,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_5049,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5050,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_5051,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477_5052,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13742,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2740,zip_derived_cl467,zip_derived_cl76,zip_derived_cl466,zip_derived_cl75,zip_derived_cl105,zip_derived_cl477]) ).
thf(zip_derived_cl7_5053,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('672',plain,
( ( sk_ != n12 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13742,zip_derived_cl7]) ).
thf(zip_derived_cl1550_5054,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5055,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8911,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n28 @ n22 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl8882]) ).
thf(zip_derived_cl985_5056,plain,
( ( sum @ n28 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5057,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl984_5058,plain,
( ( sum @ n28 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_5059,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl794_5060,plain,
( ( sum @ n22 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl692_5061,plain,
( ( sum @ n19 @ n9 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19680,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n28 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8911,zip_derived_cl985,zip_derived_cl83,zip_derived_cl984,zip_derived_cl82,zip_derived_cl794,zip_derived_cl692]) ).
thf(zip_derived_cl2_5062,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('673',plain,
( ( sk__1 != n22 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19680,zip_derived_cl2]) ).
thf(zip_derived_cl1549_5063,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5064,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8910,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n27 @ n22 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl8882]) ).
thf(zip_derived_cl954_5065,plain,
( ( sum @ n27 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_5066,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl953_5067,plain,
( ( sum @ n27 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5068,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl793_5069,plain,
( ( sum @ n22 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660,plain,
( ( sum @ n18 @ n8 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19678,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n27 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8910,zip_derived_cl954,zip_derived_cl82,zip_derived_cl953,zip_derived_cl81,zip_derived_cl793,zip_derived_cl660]) ).
thf(zip_derived_cl4_5070,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('674',plain,
( ( sk__1 != n22 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19678,zip_derived_cl4]) ).
thf(zip_derived_cl1548_5071,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5072,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8909,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n26 @ n22 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8882]) ).
thf(zip_derived_cl923_5073,plain,
( ( sum @ n26 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5074,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl922_5075,plain,
( ( sum @ n26 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_5076,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl792_5077,plain,
( ( sum @ n22 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_5078,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19676,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n26 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8909,zip_derived_cl923,zip_derived_cl81,zip_derived_cl922,zip_derived_cl80,zip_derived_cl792,zip_derived_cl628]) ).
thf(zip_derived_cl6_5079,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('675',plain,
( ( sk__1 != n22 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19676,zip_derived_cl6]) ).
thf(zip_derived_cl1547_5080,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5081,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8908,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n25 @ n22 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8882]) ).
thf(zip_derived_cl892_5082,plain,
( ( sum @ n25 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_5083,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl891_5084,plain,
( ( sum @ n25 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_5085,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl791_5086,plain,
( ( sum @ n22 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_5087,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19674,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n25 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8908,zip_derived_cl892,zip_derived_cl80,zip_derived_cl891,zip_derived_cl79,zip_derived_cl791,zip_derived_cl596]) ).
thf(zip_derived_cl8_5088,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('676',plain,
( ( sk__1 != n22 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19674,zip_derived_cl8]) ).
thf(zip_derived_cl1546_5089,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5090,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8907,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n24 @ n22 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8882]) ).
thf(zip_derived_cl861_5091,plain,
( ( sum @ n24 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_5092,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl860_5093,plain,
( ( sum @ n24 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5094,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl790_5095,plain,
( ( sum @ n22 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl564_5096,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19672,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n24 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8907,zip_derived_cl861,zip_derived_cl79,zip_derived_cl860,zip_derived_cl78,zip_derived_cl790,zip_derived_cl564]) ).
thf(zip_derived_cl10_5097,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('677',plain,
( ( sk__1 != n22 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19672,zip_derived_cl10]) ).
thf(zip_derived_cl1545_5098,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5099,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8906,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n23 @ n22 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8882]) ).
thf(zip_derived_cl830_5100,plain,
( ( sum @ n23 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5101,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl829_5102,plain,
( ( sum @ n23 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5103,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl789_5104,plain,
( ( sum @ n22 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532_5105,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19668,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n23 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8906,zip_derived_cl830,zip_derived_cl78,zip_derived_cl829,zip_derived_cl77,zip_derived_cl789,zip_derived_cl532]) ).
thf(zip_derived_cl12_5106,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('678',plain,
( ( sk__1 != n22 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19668,zip_derived_cl12]) ).
thf(zip_derived_cl1544_5107,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5108,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8905,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n22 @ n22 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8882]) ).
thf(zip_derived_cl799_5109,plain,
( ( sum @ n22 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5110,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl798_5111,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5112,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl788_5113,plain,
( ( sum @ n22 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500_5114,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19666,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n22 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8905,zip_derived_cl799,zip_derived_cl77,zip_derived_cl798,zip_derived_cl76,zip_derived_cl788,zip_derived_cl500]) ).
thf(zip_derived_cl14_5115,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('679',plain,
( ( sk__1 != n22 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19666,zip_derived_cl14]) ).
thf(zip_derived_cl1543_5116,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5117,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8904,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n21 @ n22 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8882]) ).
thf(zip_derived_cl768_5118,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5119,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl767_5120,plain,
( ( sum @ n21 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5121,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl787_5122,plain,
( ( sum @ n22 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_5123,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19664,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n21 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8904,zip_derived_cl768,zip_derived_cl76,zip_derived_cl767,zip_derived_cl75,zip_derived_cl787,zip_derived_cl468]) ).
thf(zip_derived_cl16_5124,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('680',plain,
( ( sk__1 != n22 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19664,zip_derived_cl16]) ).
thf(zip_derived_cl1542_5125,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5126,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8903,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n20 @ n22 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8882]) ).
thf(zip_derived_cl737_5127,plain,
( ( sum @ n20 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5128,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5129,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl786_5130,plain,
( ( sum @ n22 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_5131,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19662,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n20 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8903,zip_derived_cl737,zip_derived_cl75,zip_derived_cl736,zip_derived_cl74,zip_derived_cl786,zip_derived_cl436]) ).
thf(zip_derived_cl18_5132,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('681',plain,
( ( sk__1 != n22 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19662,zip_derived_cl18]) ).
thf(zip_derived_cl1541_5133,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5134,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8902,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n19 @ n22 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8882]) ).
thf(zip_derived_cl706_5135,plain,
( ( sum @ n19 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5136,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_5137,plain,
( ( sum @ n19 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5138,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl785_5139,plain,
( ( sum @ n22 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_5140,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19660,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n19 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8902,zip_derived_cl706,zip_derived_cl74,zip_derived_cl705,zip_derived_cl73,zip_derived_cl785,zip_derived_cl404]) ).
thf(zip_derived_cl20_5141,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('682',plain,
( ( sk__1 != n22 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19660,zip_derived_cl20]) ).
thf(zip_derived_cl1540_5142,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5143,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8901,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n18 @ n22 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8882]) ).
thf(zip_derived_cl675_5144,plain,
( ( sum @ n18 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5145,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_5146,plain,
( ( sum @ n18 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5147,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl784_5148,plain,
( ( sum @ n22 @ n8 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_5149,plain,
( ( sum @ n9 @ n30 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19658,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n18 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8901,zip_derived_cl675,zip_derived_cl73,zip_derived_cl674,zip_derived_cl72,zip_derived_cl784,zip_derived_cl403]) ).
thf(zip_derived_cl22_5150,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('683',plain,
( ( sk_ != n18 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19658,zip_derived_cl22]) ).
thf(zip_derived_cl1539_5151,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5152,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8900,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n17 @ n22 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8882]) ).
thf(zip_derived_cl644_5153,plain,
( ( sum @ n17 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5154,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643_5155,plain,
( ( sum @ n17 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5156,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl783_5157,plain,
( ( sum @ n22 @ n7 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_5158,plain,
( ( sum @ n8 @ n29 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19656,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n17 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8900,zip_derived_cl644,zip_derived_cl72,zip_derived_cl643,zip_derived_cl71,zip_derived_cl783,zip_derived_cl371]) ).
thf(zip_derived_cl24_5159,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('684',plain,
( ( sk__1 != n22 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19656,zip_derived_cl24]) ).
thf(zip_derived_cl1538_5160,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5161,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8899,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n16 @ n22 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8882]) ).
thf(zip_derived_cl613_5162,plain,
( ( sum @ n16 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5163,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612_5164,plain,
( ( sum @ n16 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5165,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl782_5166,plain,
( ( sum @ n22 @ n6 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339_5167,plain,
( ( sum @ n7 @ n28 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19654,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n16 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8899,zip_derived_cl613,zip_derived_cl71,zip_derived_cl612,zip_derived_cl70,zip_derived_cl782,zip_derived_cl339]) ).
thf(zip_derived_cl26_5168,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('685',plain,
( ( sk__1 != n22 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19654,zip_derived_cl26]) ).
thf(zip_derived_cl1536_5169,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5170,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8897,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n14 @ n22 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8882]) ).
thf(zip_derived_cl551_5171,plain,
( ( sum @ n14 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5172,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550_5173,plain,
( ( sum @ n14 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5174,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl780_5175,plain,
( ( sum @ n22 @ n4 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_5176,plain,
( ( sum @ n5 @ n26 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19650,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n14 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8897,zip_derived_cl551,zip_derived_cl69,zip_derived_cl550,zip_derived_cl68,zip_derived_cl780,zip_derived_cl275]) ).
thf(zip_derived_cl30_5177,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('686',plain,
( ( sk__1 != n22 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19650,zip_derived_cl30]) ).
thf(zip_derived_cl1533_5178,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5179,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8894,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n11 @ n22 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8882]) ).
thf(zip_derived_cl458_5180,plain,
( ( sum @ n11 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5181,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_5182,plain,
( ( sum @ n11 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5183,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl777_5184,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_5185,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19642,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n11 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8894,zip_derived_cl458,zip_derived_cl66,zip_derived_cl457,zip_derived_cl65,zip_derived_cl777,zip_derived_cl179]) ).
thf(zip_derived_cl5_5186,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('687',plain,
( ( sk_ != n11 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19642,zip_derived_cl5]) ).
thf(zip_derived_cl1531_5187,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5188,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8892,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n9 @ n22 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8882]) ).
thf(zip_derived_cl396_5189,plain,
( ( sum @ n9 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5190,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_5191,plain,
( ( sum @ n9 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5192,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl806_5193,plain,
( ( sum @ n22 @ n30 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_5194,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19638,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n9 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8892,zip_derived_cl396,zip_derived_cl64,zip_derived_cl395,zip_derived_cl63,zip_derived_cl806,zip_derived_cl115]) ).
thf(zip_derived_cl9_5195,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('688',plain,
( ( sk__1 != n22 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19638,zip_derived_cl9]) ).
thf(zip_derived_cl1525_5196,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8882_5197,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2449,zip_derived_cl54]) ).
thf(zip_derived_cl8886,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ n3 @ n22 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8882]) ).
thf(zip_derived_cl210_5198,plain,
( ( sum @ n3 @ n23 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_5199,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_5200,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl800_5201,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl884_5202,plain,
( ( sum @ n25 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19624,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n3 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8886,zip_derived_cl210,zip_derived_cl89,zip_derived_cl209,zip_derived_cl88,zip_derived_cl800,zip_derived_cl884]) ).
thf(zip_derived_cl21_5203,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('689',plain,
( ( sk__1 != n22 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19624,zip_derived_cl21]) ).
thf(zip_derived_cl1541_5204,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_5205,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9382,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n19 @ n29 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl9362]) ).
thf(zip_derived_cl713_5206,plain,
( ( sum @ n19 @ n30 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5207,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl712_5208,plain,
( ( sum @ n19 @ n29 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_5209,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1009_5210,plain,
( ( sum @ n29 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635_5211,plain,
( ( sum @ n17 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20614,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n19 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9382,zip_derived_cl713,zip_derived_cl81,zip_derived_cl712,zip_derived_cl80,zip_derived_cl1009,zip_derived_cl635]) ).
thf(zip_derived_cl30_5212,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('690',plain,
( ( sk_ != n19 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20614,zip_derived_cl30]) ).
thf(zip_derived_cl1541_5213,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_5214,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9162,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n19 @ n26 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl9142]) ).
thf(zip_derived_cl710_5215,plain,
( ( sum @ n19 @ n27 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5216,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709_5217,plain,
( ( sum @ n19 @ n26 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5218,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl913_5219,plain,
( ( sum @ n26 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20206,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n19 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9162,zip_derived_cl710,zip_derived_cl78,zip_derived_cl709,zip_derived_cl77,zip_derived_cl913,zip_derived_cl536]) ).
thf(zip_derived_cl8_5220,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('691',plain,
( ( sk_ != n19 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20206,zip_derived_cl8]) ).
thf(zip_derived_cl1541_5221,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_5222,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9097,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n19 @ n25 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl9077]) ).
thf(zip_derived_cl709_5223,plain,
( ( sum @ n19 @ n26 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5224,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl708_5225,plain,
( ( sum @ n19 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5226,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl881_5227,plain,
( ( sum @ n25 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503_5228,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20070,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n19 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9097,zip_derived_cl709,zip_derived_cl77,zip_derived_cl708,zip_derived_cl76,zip_derived_cl881,zip_derived_cl503]) ).
thf(zip_derived_cl11_5229,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('692',plain,
( ( sk_ != n19 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20070,zip_derived_cl11]) ).
thf(zip_derived_cl1541_5230,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_5231,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8834,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n19 @ n21 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8814]) ).
thf(zip_derived_cl705_5232,plain,
( ( sum @ n19 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5233,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5234,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl753_5235,plain,
( ( sum @ n21 @ n8 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_5236,plain,
( ( sum @ n9 @ n29 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19524,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n19 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8834,zip_derived_cl705,zip_derived_cl73,zip_derived_cl704,zip_derived_cl72,zip_derived_cl753,zip_derived_cl402]) ).
thf(zip_derived_cl23_5237,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('693',plain,
( ( sk_ != n19 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19524,zip_derived_cl23]) ).
thf(zip_derived_cl1541_5238,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_5239,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8758,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n19 @ n20 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8738]) ).
thf(zip_derived_cl704_5240,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5241,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl703_5242,plain,
( ( sum @ n19 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5243,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_5244,plain,
( ( sum @ n20 @ n7 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_5245,plain,
( ( sum @ n8 @ n27 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19388,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n19 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8758,zip_derived_cl704,zip_derived_cl72,zip_derived_cl703,zip_derived_cl71,zip_derived_cl721,zip_derived_cl369]) ).
thf(zip_derived_cl26_5246,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('694',plain,
( ( sk_ != n19 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19388,zip_derived_cl26]) ).
thf(zip_derived_cl1541_5247,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_5248,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8693,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n19 @ n19 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8673]) ).
thf(zip_derived_cl703_5249,plain,
( ( sum @ n19 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5250,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702_5251,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5252,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl689_5253,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_5254,plain,
( ( sum @ n7 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19250,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n19 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8693,zip_derived_cl703,zip_derived_cl71,zip_derived_cl702,zip_derived_cl70,zip_derived_cl689,zip_derived_cl336]) ).
thf(zip_derived_cl29_5255,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('695',plain,
( ( sk_ != n19 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19250,zip_derived_cl29]) ).
thf(zip_derived_cl1541_5256,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_5257,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8618,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n19 @ n18 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8598]) ).
thf(zip_derived_cl702_5258,plain,
( ( sum @ n19 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5259,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl701_5260,plain,
( ( sum @ n19 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5261,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657_5262,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_5263,plain,
( ( sum @ n6 @ n23 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19114,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n19 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8618,zip_derived_cl702,zip_derived_cl70,zip_derived_cl701,zip_derived_cl69,zip_derived_cl657,zip_derived_cl303]) ).
thf(zip_derived_cl1_5264,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('696',plain,
( ( sk_ != n19 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19114,zip_derived_cl1]) ).
thf(zip_derived_cl1541_5265,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5266,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8549,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n19 @ n17 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8529]) ).
thf(zip_derived_cl701_5267,plain,
( ( sum @ n19 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5268,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl700_5269,plain,
( ( sum @ n19 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5270,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl625_5271,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_5272,plain,
( ( sum @ n5 @ n21 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18978,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n19 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8549,zip_derived_cl701,zip_derived_cl69,zip_derived_cl700,zip_derived_cl68,zip_derived_cl625,zip_derived_cl270]) ).
thf(zip_derived_cl4_5273,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('697',plain,
( ( sk_ != n19 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18978,zip_derived_cl4]) ).
thf(zip_derived_cl1541_5274,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5275,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8481,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n19 @ n16 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8461]) ).
thf(zip_derived_cl700_5276,plain,
( ( sum @ n19 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5277,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl699_5278,plain,
( ( sum @ n19 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5279,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl593_5280,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_5281,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18842,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n19 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8481,zip_derived_cl700,zip_derived_cl68,zip_derived_cl699,zip_derived_cl67,zip_derived_cl593,zip_derived_cl237]) ).
thf(zip_derived_cl7_5282,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('698',plain,
( ( sk_ != n19 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18842,zip_derived_cl7]) ).
thf(zip_derived_cl1541_5283,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_5284,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8337,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n19 @ n14 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl8317]) ).
thf(zip_derived_cl698_5285,plain,
( ( sum @ n19 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5286,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697_5287,plain,
( ( sum @ n19 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5288,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529_5289,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_5290,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18568,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n19 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8337,zip_derived_cl698,zip_derived_cl66,zip_derived_cl697,zip_derived_cl65,zip_derived_cl529,zip_derived_cl171]) ).
thf(zip_derived_cl13_5291,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('699',plain,
( ( sk_ != n19 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18568,zip_derived_cl13]) ).
thf(zip_derived_cl1566_5292,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2169_5293,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n19 @ sk__1 ) ) ) ) )
<= ( sk_ = n19 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl31]) ).
thf(zip_derived_cl6427,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n19 @ n13 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2169]) ).
thf(zip_derived_cl45_5294,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6520,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n19 @ n13 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6427,zip_derived_cl45]) ).
thf(zip_derived_cl697_5295,plain,
( ( sum @ n19 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5296,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_5297,plain,
( ( sum @ n19 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5298,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_5299,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_5300,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17094,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n19 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6520,zip_derived_cl697,zip_derived_cl65,zip_derived_cl696,zip_derived_cl64,zip_derived_cl497,zip_derived_cl138]) ).
thf(zip_derived_cl16_5301,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('700',plain,
( ( sk_ != n19 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17094,zip_derived_cl16]) ).
thf(zip_derived_cl1541_5302,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_5303,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5441,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n19 @ n11 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl5421]) ).
thf(zip_derived_cl695_5304,plain,
( ( sum @ n19 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5305,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl694_5306,plain,
( ( sum @ n19 @ n11 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_5307,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_5308,plain,
( ( sum @ n11 @ n29 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16090,plain,
( ( sk__2
= ( sum @ n30 @ n9 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5441,zip_derived_cl695,zip_derived_cl63,zip_derived_cl694,zip_derived_cl93,zip_derived_cl464]) ).
thf(zip_derived_cl1033_5309,plain,
( ( sum @ n30 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16664,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n19 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16090,zip_derived_cl1033]) ).
thf(zip_derived_cl22_5310,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('701',plain,
( ( sk_ != n19 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16664,zip_derived_cl22]) ).
thf(zip_derived_cl1541_5311,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_5312,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4107,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n19 @ n8 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl4087]) ).
thf(zip_derived_cl692_5313,plain,
( ( sum @ n19 @ n9 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_5314,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl691_5315,plain,
( ( sum @ n19 @ n8 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_5316,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_5317,plain,
( ( sum @ n8 @ n26 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14651,plain,
( ( sk__2
= ( sum @ n27 @ n3 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4107,zip_derived_cl692,zip_derived_cl91,zip_derived_cl691,zip_derived_cl90,zip_derived_cl368]) ).
thf(zip_derived_cl934_5318,plain,
( ( sum @ n27 @ n3 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15894,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n19 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14651,zip_derived_cl934]) ).
thf(zip_derived_cl0_5319,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('702',plain,
( ( sk_ != n19 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15894,zip_derived_cl0]) ).
thf(zip_derived_cl691_5320,plain,
( ( sum @ n19 @ n8 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_5321,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_5322,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3686,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n19 @ n7 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl3666]) ).
thf(zip_derived_cl14424,plain,
( ( sk__2
= ( sum @ ( pred @ n27 ) @ ( sum @ n7 @ ( pred @ ( sum @ n19 @ n7 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl691,zip_derived_cl3686]) ).
thf(zip_derived_cl90_5323,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl690_5324,plain,
( ( sum @ n19 @ n7 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_5325,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_5326,plain,
( ( sum @ n7 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14425,plain,
( ( sk__2
= ( sum @ n26 @ n1 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14424,zip_derived_cl90,zip_derived_cl690,zip_derived_cl89,zip_derived_cl336]) ).
thf(zip_derived_cl901_5327,plain,
( ( sum @ n26 @ n1 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15657,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14425,zip_derived_cl901]) ).
thf(zip_derived_cl3_5328,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('703',plain,
( ( sk_ != n19 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15657,zip_derived_cl3]) ).
thf(zip_derived_cl687_5329,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_5330,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_5331,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2954,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n19 @ n3 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl2932]) ).
thf(zip_derived_cl14401,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n3 @ ( pred @ ( sum @ n19 @ n3 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl687,zip_derived_cl2954]) ).
thf(zip_derived_cl86_5332,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl686_5333,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_5334,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_5335,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14403,plain,
( ( sk__2
= ( sum @ n22 @ n24 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14401,zip_derived_cl86,zip_derived_cl686,zip_derived_cl85,zip_derived_cl208]) ).
thf(zip_derived_cl800_5336,plain,
( ( sum @ n22 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15041,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14403,zip_derived_cl800]) ).
thf(zip_derived_cl15_5337,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('704',plain,
( ( sk_ != n19 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15041,zip_derived_cl15]) ).
thf(zip_derived_cl684_5338,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1541_5339,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5340,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2747,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n19 @ n0 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl2727]) ).
thf(zip_derived_cl14380,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n0 @ ( pred @ ( sum @ n19 @ n0 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl684,zip_derived_cl2747]) ).
thf(zip_derived_cl83_5341,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl683_5342,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_5343,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_5344,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14382,plain,
( ( sk__2
= ( sum @ n19 @ n18 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14380,zip_derived_cl83,zip_derived_cl683,zip_derived_cl82,zip_derived_cl112]) ).
thf(zip_derived_cl701_5345,plain,
( ( sum @ n19 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14477,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14382,zip_derived_cl701]) ).
thf(zip_derived_cl24_5346,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('705',plain,
( ( sk_ != n19 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14477,zip_derived_cl24]) ).
thf(zip_derived_cl963_5347,plain,
( ( sum @ n28 @ n1 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_5348,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5349,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2756,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n28 @ n0 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl2727]) ).
thf(zip_derived_cl16104,plain,
( ( sk__2
= ( sum @ ( pred @ n29 ) @ ( sum @ n0 @ ( pred @ ( sum @ n28 @ n0 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl963,zip_derived_cl2756]) ).
thf(zip_derived_cl92_5350,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl962_5351,plain,
( ( sum @ n28 @ n0 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_5352,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_5353,plain,
( ( sum @ n0 @ n27 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16109,plain,
( ( sk__2
= ( sum @ n28 @ n27 ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16104,zip_derived_cl92,zip_derived_cl962,zip_derived_cl91,zip_derived_cl121]) ).
thf(zip_derived_cl989_5354,plain,
( ( sum @ n28 @ n27 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16286,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n28 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16109,zip_derived_cl989]) ).
thf(zip_derived_cl6_5355,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('706',plain,
( ( sk__1 != n0 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16286,zip_derived_cl6]) ).
thf(zip_derived_cl932_5356,plain,
( ( sum @ n27 @ n1 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_5357,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5358,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2755,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n27 @ n0 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl2727]) ).
thf(zip_derived_cl15873,plain,
( ( sk__2
= ( sum @ ( pred @ n28 ) @ ( sum @ n0 @ ( pred @ ( sum @ n27 @ n0 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl932,zip_derived_cl2755]) ).
thf(zip_derived_cl91_5359,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl931_5360,plain,
( ( sum @ n27 @ n0 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_5361,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_5362,plain,
( ( sum @ n0 @ n26 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15878,plain,
( ( sk__2
= ( sum @ n27 @ n26 ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15873,zip_derived_cl91,zip_derived_cl931,zip_derived_cl90,zip_derived_cl120]) ).
thf(zip_derived_cl957_5363,plain,
( ( sum @ n27 @ n26 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16054,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n27 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15878,zip_derived_cl957]) ).
thf(zip_derived_cl8_5364,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('707',plain,
( ( sk__1 != n0 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16054,zip_derived_cl8]) ).
thf(zip_derived_cl901_5365,plain,
( ( sum @ n26 @ n1 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_5366,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5367,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2754,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n26 @ n0 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl2727]) ).
thf(zip_derived_cl15654,plain,
( ( sk__2
= ( sum @ ( pred @ n27 ) @ ( sum @ n0 @ ( pred @ ( sum @ n26 @ n0 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl2754]) ).
thf(zip_derived_cl90_5368,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl900_5369,plain,
( ( sum @ n26 @ n0 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_5370,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_5371,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15659,plain,
( ( sk__2
= ( sum @ n26 @ n25 ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15654,zip_derived_cl90,zip_derived_cl900,zip_derived_cl89,zip_derived_cl119]) ).
thf(zip_derived_cl925_5372,plain,
( ( sum @ n26 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15810,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n26 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15659,zip_derived_cl925]) ).
thf(zip_derived_cl10_5373,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('708',plain,
( ( sk__1 != n0 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15810,zip_derived_cl10]) ).
thf(zip_derived_cl870_5374,plain,
( ( sum @ n25 @ n1 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_5375,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5376,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2753,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n25 @ n0 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl2727]) ).
thf(zip_derived_cl15475,plain,
( ( sk__2
= ( sum @ ( pred @ n26 ) @ ( sum @ n0 @ ( pred @ ( sum @ n25 @ n0 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl870,zip_derived_cl2753]) ).
thf(zip_derived_cl89_5377,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl869_5378,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_5379,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_5380,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15480,plain,
( ( sk__2
= ( sum @ n25 @ n24 ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15475,zip_derived_cl89,zip_derived_cl869,zip_derived_cl88,zip_derived_cl118]) ).
thf(zip_derived_cl893_5381,plain,
( ( sum @ n25 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15592,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n25 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15480,zip_derived_cl893]) ).
thf(zip_derived_cl12_5382,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('709',plain,
( ( sk__1 != n0 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15592,zip_derived_cl12]) ).
thf(zip_derived_cl839_5383,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_5384,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5385,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2752,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n24 @ n0 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl2727]) ).
thf(zip_derived_cl15258,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n0 @ ( pred @ ( sum @ n24 @ n0 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl839,zip_derived_cl2752]) ).
thf(zip_derived_cl88_5386,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl838_5387,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_5388,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_5389,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15263,plain,
( ( sk__2
= ( sum @ n24 @ n23 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15258,zip_derived_cl88,zip_derived_cl838,zip_derived_cl87,zip_derived_cl117]) ).
thf(zip_derived_cl861_5390,plain,
( ( sum @ n24 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15396,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n24 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15263,zip_derived_cl861]) ).
thf(zip_derived_cl14_5391,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('710',plain,
( ( sk__1 != n0 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15396,zip_derived_cl14]) ).
thf(zip_derived_cl808_5392,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_5393,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5394,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2751,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n23 @ n0 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl2727]) ).
thf(zip_derived_cl15073,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n0 @ ( pred @ ( sum @ n23 @ n0 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl808,zip_derived_cl2751]) ).
thf(zip_derived_cl87_5395,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl807_5396,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_5397,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_5398,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15076,plain,
( ( sk__2
= ( sum @ n23 @ n22 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15073,zip_derived_cl87,zip_derived_cl807,zip_derived_cl86,zip_derived_cl116]) ).
thf(zip_derived_cl829_5399,plain,
( ( sum @ n23 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15175,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n23 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15076,zip_derived_cl829]) ).
thf(zip_derived_cl16_5400,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('711',plain,
( ( sk__1 != n0 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15175,zip_derived_cl16]) ).
thf(zip_derived_cl777_5401,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_5402,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5403,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2750,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n22 @ n0 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl2727]) ).
thf(zip_derived_cl14910,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n0 @ ( pred @ ( sum @ n22 @ n0 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl777,zip_derived_cl2750]) ).
thf(zip_derived_cl86_5404,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl776_5405,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_5406,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_5407,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14913,plain,
( ( sk__2
= ( sum @ n22 @ n21 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14910,zip_derived_cl86,zip_derived_cl776,zip_derived_cl85,zip_derived_cl115]) ).
thf(zip_derived_cl797_5408,plain,
( ( sum @ n22 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15013,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n22 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14913,zip_derived_cl797]) ).
thf(zip_derived_cl18_5409,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('712',plain,
( ( sk__1 != n0 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15013,zip_derived_cl18]) ).
thf(zip_derived_cl746_5410,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_5411,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5412,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2749,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n21 @ n0 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl2727]) ).
thf(zip_derived_cl14718,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n0 @ ( pred @ ( sum @ n21 @ n0 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl2749]) ).
thf(zip_derived_cl85_5413,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745_5414,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_5415,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_5416,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14721,plain,
( ( sk__2
= ( sum @ n21 @ n20 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14718,zip_derived_cl85,zip_derived_cl745,zip_derived_cl84,zip_derived_cl114]) ).
thf(zip_derived_cl765_5417,plain,
( ( sum @ n21 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14814,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n21 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14721,zip_derived_cl765]) ).
thf(zip_derived_cl20_5418,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('713',plain,
( ( sk__1 != n0 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14814,zip_derived_cl20]) ).
thf(zip_derived_cl715_5419,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_5420,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5421,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2748,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n20 @ n0 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl2727]) ).
thf(zip_derived_cl14581,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n0 @ ( pred @ ( sum @ n20 @ n0 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl715,zip_derived_cl2748]) ).
thf(zip_derived_cl84_5422,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714_5423,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5424,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_5425,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14584,plain,
( ( sk__2
= ( sum @ n20 @ n19 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14581,zip_derived_cl84,zip_derived_cl714,zip_derived_cl83,zip_derived_cl113]) ).
thf(zip_derived_cl733_5426,plain,
( ( sum @ n20 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14657,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14584,zip_derived_cl733]) ).
thf(zip_derived_cl22_5427,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('714',plain,
( ( sk__1 != n0 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14657,zip_derived_cl22]) ).
thf(zip_derived_cl653_5428,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_5429,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2746,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n18 @ n0 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl2727]) ).
thf(zip_derived_cl14257,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n0 @ ( pred @ ( sum @ n18 @ n0 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl2746]) ).
thf(zip_derived_cl82_5431,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl652_5432,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5433,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_5434,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14260,plain,
( ( sk__2
= ( sum @ n18 @ n17 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14257,zip_derived_cl82,zip_derived_cl652,zip_derived_cl81,zip_derived_cl111]) ).
thf(zip_derived_cl669_5435,plain,
( ( sum @ n18 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14318,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14260,zip_derived_cl669]) ).
thf(zip_derived_cl26_5436,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('715',plain,
( ( sk_ != n18 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14318,zip_derived_cl26]) ).
thf(zip_derived_cl622_5437,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_5438,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2745,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n17 @ n0 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl2727]) ).
thf(zip_derived_cl14145,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n0 @ ( pred @ ( sum @ n17 @ n0 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl622,zip_derived_cl2745]) ).
thf(zip_derived_cl81_5440,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_5441,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_5442,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5443,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14148,plain,
( ( sk__2
= ( sum @ n17 @ n16 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14145,zip_derived_cl81,zip_derived_cl621,zip_derived_cl80,zip_derived_cl110]) ).
thf(zip_derived_cl637_5444,plain,
( ( sum @ n17 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14205,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14148,zip_derived_cl637]) ).
thf(zip_derived_cl28_5445,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('716',plain,
( ( sk__1 != n0 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14205,zip_derived_cl28]) ).
thf(zip_derived_cl591_5446,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_5447,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5448,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2744,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n16 @ n0 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl2727]) ).
thf(zip_derived_cl14038,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n0 @ ( pred @ ( sum @ n16 @ n0 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl591,zip_derived_cl2744]) ).
thf(zip_derived_cl80_5449,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590_5450,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_5451,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_5452,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14040,plain,
( ( sk__2
= ( sum @ n16 @ n15 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14038,zip_derived_cl80,zip_derived_cl590,zip_derived_cl79,zip_derived_cl109]) ).
thf(zip_derived_cl605_5453,plain,
( ( sum @ n16 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14086,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14040,zip_derived_cl605]) ).
thf(zip_derived_cl30_5454,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('717',plain,
( ( sk__1 != n0 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14086,zip_derived_cl30]) ).
thf(zip_derived_cl529_5455,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1536_5456,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5457,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2742,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n14 @ n0 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl2727]) ).
thf(zip_derived_cl13857,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n0 @ ( pred @ ( sum @ n14 @ n0 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl529,zip_derived_cl2742]) ).
thf(zip_derived_cl78_5458,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528_5459,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5460,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_5461,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13860,plain,
( ( sk__2
= ( sum @ n14 @ n13 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13857,zip_derived_cl78,zip_derived_cl528,zip_derived_cl77,zip_derived_cl107]) ).
thf(zip_derived_cl541_5462,plain,
( ( sum @ n14 @ n13 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13886,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13860,zip_derived_cl541]) ).
thf(zip_derived_cl3_5463,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('718',plain,
( ( sk__1 != n0 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13886,zip_derived_cl3]) ).
thf(zip_derived_cl1533_5464,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5465,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2739,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n11 @ n0 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl2727]) ).
thf(zip_derived_cl436_5466,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5467,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_5468,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5469,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_5470,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_5471,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13740,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2739,zip_derived_cl436,zip_derived_cl75,zip_derived_cl435,zip_derived_cl74,zip_derived_cl104,zip_derived_cl445]) ).
thf(zip_derived_cl9_5472,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('719',plain,
( ( sk_ != n11 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13740,zip_derived_cl9]) ).
thf(zip_derived_cl1531_5473,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5474,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2737,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n9 @ n0 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl2727]) ).
thf(zip_derived_cl374_5475,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5476,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_5477,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5478,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_5479,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_5480,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13736,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2737,zip_derived_cl374,zip_derived_cl73,zip_derived_cl373,zip_derived_cl72,zip_derived_cl102,zip_derived_cl381]) ).
thf(zip_derived_cl13_5481,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('720',plain,
( ( sk__1 != n0 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13736,zip_derived_cl13]) ).
thf(zip_derived_cl1525_5482,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2727_5483,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl32]) ).
thf(zip_derived_cl2731,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ n3 @ n0 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl2727]) ).
thf(zip_derived_cl188_5484,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5485,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_5486,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5487,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_5488,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_5489,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13724,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2731,zip_derived_cl188,zip_derived_cl67,zip_derived_cl187,zip_derived_cl66,zip_derived_cl96,zip_derived_cl189]) ).
thf(zip_derived_cl25_5490,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('721',plain,
( ( sk__1 != n0 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13724,zip_derived_cl25]) ).
thf(zip_derived_cl1542_5491,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_5492,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9383,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n20 @ n29 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl9362]) ).
thf(zip_derived_cl744_5493,plain,
( ( sum @ n20 @ n30 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_5494,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743_5495,plain,
( ( sum @ n20 @ n29 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_5496,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1010_5497,plain,
( ( sum @ n29 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667_5498,plain,
( ( sum @ n18 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20618,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n20 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9383,zip_derived_cl744,zip_derived_cl82,zip_derived_cl743,zip_derived_cl81,zip_derived_cl1010,zip_derived_cl667]) ).
thf(zip_derived_cl28_5499,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('722',plain,
( ( sk_ != n20 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20618,zip_derived_cl28]) ).
thf(zip_derived_cl1542_5500,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_5501,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9163,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n20 @ n26 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl9142]) ).
thf(zip_derived_cl741_5502,plain,
( ( sum @ n20 @ n27 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_5503,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl740_5504,plain,
( ( sum @ n20 @ n26 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5505,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl914_5506,plain,
( ( sum @ n26 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl568_5507,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20208,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n20 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9163,zip_derived_cl741,zip_derived_cl79,zip_derived_cl740,zip_derived_cl78,zip_derived_cl914,zip_derived_cl568]) ).
thf(zip_derived_cl6_5508,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('723',plain,
( ( sk_ != n20 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20208,zip_derived_cl6]) ).
thf(zip_derived_cl1542_5509,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_5510,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9098,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n20 @ n25 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl9077]) ).
thf(zip_derived_cl740_5511,plain,
( ( sum @ n20 @ n26 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5512,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl739_5513,plain,
( ( sum @ n20 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5514,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl882_5515,plain,
( ( sum @ n25 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535_5516,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20072,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n20 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9098,zip_derived_cl740,zip_derived_cl78,zip_derived_cl739,zip_derived_cl77,zip_derived_cl882,zip_derived_cl535]) ).
thf(zip_derived_cl9_5517,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('724',plain,
( ( sk_ != n20 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20072,zip_derived_cl9]) ).
thf(zip_derived_cl1542_5518,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_5519,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8835,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n20 @ n21 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8814]) ).
thf(zip_derived_cl736_5520,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5521,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_5522,plain,
( ( sum @ n20 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5523,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl754_5524,plain,
( ( sum @ n21 @ n9 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_5525,plain,
( ( sum @ n10 @ n30 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19526,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n20 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8835,zip_derived_cl736,zip_derived_cl74,zip_derived_cl735,zip_derived_cl73,zip_derived_cl754,zip_derived_cl434]) ).
thf(zip_derived_cl21_5526,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('725',plain,
( ( sk_ != n20 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19526,zip_derived_cl21]) ).
thf(zip_derived_cl1542_5527,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_5528,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8759,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n20 @ n20 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8738]) ).
thf(zip_derived_cl735_5529,plain,
( ( sum @ n20 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5530,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_5531,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5532,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_5533,plain,
( ( sum @ n20 @ n8 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_5534,plain,
( ( sum @ n9 @ n28 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19390,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n20 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8759,zip_derived_cl735,zip_derived_cl73,zip_derived_cl734,zip_derived_cl72,zip_derived_cl722,zip_derived_cl401]) ).
thf(zip_derived_cl24_5535,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('726',plain,
( ( sk_ != n20 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19390,zip_derived_cl24]) ).
thf(zip_derived_cl1542_5536,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_5537,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8694,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n20 @ n19 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8673]) ).
thf(zip_derived_cl734_5538,plain,
( ( sum @ n20 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5539,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_5540,plain,
( ( sum @ n20 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5541,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl690_5542,plain,
( ( sum @ n19 @ n7 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_5543,plain,
( ( sum @ n8 @ n26 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19254,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n20 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8694,zip_derived_cl734,zip_derived_cl72,zip_derived_cl733,zip_derived_cl71,zip_derived_cl690,zip_derived_cl368]) ).
thf(zip_derived_cl27_5544,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('727',plain,
( ( sk_ != n20 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19254,zip_derived_cl27]) ).
thf(zip_derived_cl1542_5545,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_5546,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8619,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n20 @ n18 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8598]) ).
thf(zip_derived_cl733_5547,plain,
( ( sum @ n20 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5548,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_5549,plain,
( ( sum @ n20 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5550,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658_5551,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_5552,plain,
( ( sum @ n7 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19116,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n20 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8619,zip_derived_cl733,zip_derived_cl71,zip_derived_cl732,zip_derived_cl70,zip_derived_cl658,zip_derived_cl335]) ).
thf(zip_derived_cl30_5553,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('728',plain,
( ( sk_ != n20 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19116,zip_derived_cl30]) ).
thf(zip_derived_cl1542_5554,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5555,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8550,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n20 @ n17 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8529]) ).
thf(zip_derived_cl732_5556,plain,
( ( sum @ n20 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5557,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_5558,plain,
( ( sum @ n20 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5559,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_5560,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_5561,plain,
( ( sum @ n6 @ n22 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18980,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n20 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8550,zip_derived_cl732,zip_derived_cl70,zip_derived_cl731,zip_derived_cl69,zip_derived_cl626,zip_derived_cl302]) ).
thf(zip_derived_cl2_5562,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('729',plain,
( ( sk_ != n20 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18980,zip_derived_cl2]) ).
thf(zip_derived_cl1542_5563,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5564,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8482,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n20 @ n16 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8461]) ).
thf(zip_derived_cl731_5565,plain,
( ( sum @ n20 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5566,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_5567,plain,
( ( sum @ n20 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5568,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_5569,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_5570,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18844,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n20 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8482,zip_derived_cl731,zip_derived_cl69,zip_derived_cl730,zip_derived_cl68,zip_derived_cl594,zip_derived_cl269]) ).
thf(zip_derived_cl5_5571,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('730',plain,
( ( sk_ != n20 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18844,zip_derived_cl5]) ).
thf(zip_derived_cl1542_5572,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_5573,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8338,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n20 @ n14 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl8317]) ).
thf(zip_derived_cl729_5574,plain,
( ( sum @ n20 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5575,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728,plain,
( ( sum @ n20 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5576,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_5577,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_5578,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18572,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n20 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8338,zip_derived_cl729,zip_derived_cl67,zip_derived_cl728,zip_derived_cl66,zip_derived_cl530,zip_derived_cl203]) ).
thf(zip_derived_cl11_5579,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('731',plain,
( ( sk_ != n20 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18572,zip_derived_cl11]) ).
thf(zip_derived_cl1566_5580,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2170_5581,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n20 @ sk__1 ) ) ) ) )
<= ( sk_ = n20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl31]) ).
thf(zip_derived_cl6562,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n20 @ n13 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2170]) ).
thf(zip_derived_cl45_5582,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6655,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n20 @ n13 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6562,zip_derived_cl45]) ).
thf(zip_derived_cl728_5583,plain,
( ( sum @ n20 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5584,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_5585,plain,
( ( sum @ n20 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5586,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_5587,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_5588,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17188,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n20 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6655,zip_derived_cl728,zip_derived_cl66,zip_derived_cl727,zip_derived_cl65,zip_derived_cl498,zip_derived_cl170]) ).
thf(zip_derived_cl14_5589,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('732',plain,
( ( sk_ != n20 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17188,zip_derived_cl14]) ).
thf(zip_derived_cl1542_5590,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_5591,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4108,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n20 @ n8 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl4087]) ).
thf(zip_derived_cl723_5592,plain,
( ( sum @ n20 @ n9 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_5593,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_5594,plain,
( ( sum @ n20 @ n8 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_5595,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_5596,plain,
( ( sum @ n8 @ n27 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14654,plain,
( ( sk__2
= ( sum @ n28 @ n4 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4108,zip_derived_cl723,zip_derived_cl92,zip_derived_cl722,zip_derived_cl91,zip_derived_cl369]) ).
thf(zip_derived_cl966_5597,plain,
( ( sum @ n28 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16129,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n20 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14654,zip_derived_cl966]) ).
thf(zip_derived_cl29_5598,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('733',plain,
( ( sk_ != n20 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16129,zip_derived_cl29]) ).
thf(zip_derived_cl1542_5599,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_5600,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5442,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n20 @ n11 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl5421]) ).
thf(zip_derived_cl726_5601,plain,
( ( sum @ n20 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5602,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_5603,plain,
( ( sum @ n20 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5604,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_5605,plain,
( ( sum @ n11 @ n30 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_5606,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16100,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n20 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5442,zip_derived_cl726,zip_derived_cl64,zip_derived_cl725,zip_derived_cl63,zip_derived_cl465,zip_derived_cl104]) ).
thf(zip_derived_cl20_5607,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('734',plain,
( ( sk_ != n20 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16100,zip_derived_cl20]) ).
thf(zip_derived_cl722_5608,plain,
( ( sum @ n20 @ n8 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_5609,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_5610,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3687,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n20 @ n7 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl3666]) ).
thf(zip_derived_cl14623,plain,
( ( sk__2
= ( sum @ ( pred @ n28 ) @ ( sum @ n7 @ ( pred @ ( sum @ n20 @ n7 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl3687]) ).
thf(zip_derived_cl91_5611,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_5612,plain,
( ( sum @ n20 @ n7 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_5613,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_5614,plain,
( ( sum @ n7 @ n26 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14624,plain,
( ( sk__2
= ( sum @ n27 @ n2 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14623,zip_derived_cl91,zip_derived_cl721,zip_derived_cl90,zip_derived_cl337]) ).
thf(zip_derived_cl933_5615,plain,
( ( sum @ n27 @ n2 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15883,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14624,zip_derived_cl933]) ).
thf(zip_derived_cl1_5616,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('735',plain,
( ( sk_ != n20 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15883,zip_derived_cl1]) ).
thf(zip_derived_cl718_5617,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1542_5618,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_5619,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2955,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n20 @ n3 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1542,zip_derived_cl2932]) ).
thf(zip_derived_cl14599,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n3 @ ( pred @ ( sum @ n20 @ n3 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl2955]) ).
thf(zip_derived_cl87_5620,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_5621,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_5622,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_5623,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14602,plain,
( ( sk__2
= ( sum @ n23 @ n25 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14599,zip_derived_cl87,zip_derived_cl717,zip_derived_cl86,zip_derived_cl209]) ).
thf(zip_derived_cl832_5624,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15193,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14602,zip_derived_cl832]) ).
thf(zip_derived_cl13_5625,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('736',plain,
( ( sk_ != n20 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15193,zip_derived_cl13]) ).
thf(zip_derived_cl1550_5626,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5627,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8490,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n28 @ n16 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl8461]) ).
thf(zip_derived_cl979_5628,plain,
( ( sum @ n28 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5629,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl978_5630,plain,
( ( sum @ n28 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5631,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602_5632,plain,
( ( sum @ n16 @ n12 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525_5633,plain,
( ( sum @ n13 @ n28 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18862,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n28 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8490,zip_derived_cl979,zip_derived_cl77,zip_derived_cl978,zip_derived_cl76,zip_derived_cl602,zip_derived_cl525]) ).
thf(zip_derived_cl20_5634,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('737',plain,
( ( sk__1 != n16 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18862,zip_derived_cl20]) ).
thf(zip_derived_cl1549_5635,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5636,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8489,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n27 @ n16 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl8461]) ).
thf(zip_derived_cl948_5637,plain,
( ( sum @ n27 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5638,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl947_5639,plain,
( ( sum @ n27 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5640,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601_5641,plain,
( ( sum @ n16 @ n11 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493_5642,plain,
( ( sum @ n12 @ n27 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18860,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n27 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8489,zip_derived_cl948,zip_derived_cl76,zip_derived_cl947,zip_derived_cl75,zip_derived_cl601,zip_derived_cl493]) ).
thf(zip_derived_cl22_5643,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('738',plain,
( ( sk__1 != n16 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18860,zip_derived_cl22]) ).
thf(zip_derived_cl1548_5644,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5645,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8488,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n26 @ n16 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8461]) ).
thf(zip_derived_cl917_5646,plain,
( ( sum @ n26 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5647,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl916_5648,plain,
( ( sum @ n26 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5649,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600_5650,plain,
( ( sum @ n16 @ n10 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_5651,plain,
( ( sum @ n11 @ n26 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18858,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n26 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8488,zip_derived_cl917,zip_derived_cl75,zip_derived_cl916,zip_derived_cl74,zip_derived_cl600,zip_derived_cl461]) ).
thf(zip_derived_cl24_5652,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('739',plain,
( ( sk__1 != n16 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18858,zip_derived_cl24]) ).
thf(zip_derived_cl1547_5653,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5654,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8487,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n25 @ n16 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8461]) ).
thf(zip_derived_cl886_5655,plain,
( ( sum @ n25 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5656,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl885_5657,plain,
( ( sum @ n25 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5658,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599_5659,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_5660,plain,
( ( sum @ n10 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18854,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n25 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8487,zip_derived_cl886,zip_derived_cl74,zip_derived_cl885,zip_derived_cl73,zip_derived_cl599,zip_derived_cl429]) ).
thf(zip_derived_cl26_5661,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('740',plain,
( ( sk__1 != n16 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18854,zip_derived_cl26]) ).
thf(zip_derived_cl1546_5662,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5663,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8486,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n24 @ n16 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8461]) ).
thf(zip_derived_cl855_5664,plain,
( ( sum @ n24 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5665,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl854_5666,plain,
( ( sum @ n24 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5667,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_5668,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_5669,plain,
( ( sum @ n9 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18852,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n24 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8486,zip_derived_cl855,zip_derived_cl73,zip_derived_cl854,zip_derived_cl72,zip_derived_cl598,zip_derived_cl397]) ).
thf(zip_derived_cl28_5670,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('741',plain,
( ( sk__1 != n16 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18852,zip_derived_cl28]) ).
thf(zip_derived_cl1545_5671,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5672,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8485,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n23 @ n16 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8461]) ).
thf(zip_derived_cl824_5673,plain,
( ( sum @ n23 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5674,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl823_5675,plain,
( ( sum @ n23 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5676,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597_5677,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_5678,plain,
( ( sum @ n8 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18850,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n23 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8485,zip_derived_cl824,zip_derived_cl72,zip_derived_cl823,zip_derived_cl71,zip_derived_cl597,zip_derived_cl365]) ).
thf(zip_derived_cl30_5679,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('742',plain,
( ( sk__1 != n16 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18850,zip_derived_cl30]) ).
thf(zip_derived_cl1544_5680,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5681,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8484,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n22 @ n16 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8461]) ).
thf(zip_derived_cl793_5682,plain,
( ( sum @ n22 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5683,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl792_5684,plain,
( ( sum @ n22 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5685,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_5686,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_5687,plain,
( ( sum @ n7 @ n22 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18848,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n22 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8484,zip_derived_cl793,zip_derived_cl71,zip_derived_cl792,zip_derived_cl70,zip_derived_cl596,zip_derived_cl333]) ).
thf(zip_derived_cl1_5688,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('743',plain,
( ( sk__1 != n16 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18848,zip_derived_cl1]) ).
thf(zip_derived_cl1543_5689,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5690,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8483,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n21 @ n16 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8461]) ).
thf(zip_derived_cl762_5691,plain,
( ( sum @ n21 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5692,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl761_5693,plain,
( ( sum @ n21 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5694,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl595_5695,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_5696,plain,
( ( sum @ n6 @ n21 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18846,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n21 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8483,zip_derived_cl762,zip_derived_cl70,zip_derived_cl761,zip_derived_cl69,zip_derived_cl595,zip_derived_cl301]) ).
thf(zip_derived_cl3_5697,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('744',plain,
( ( sk__1 != n16 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18846,zip_derived_cl3]) ).
thf(zip_derived_cl1540_5698,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5699,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8480,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n18 @ n16 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8461]) ).
thf(zip_derived_cl669_5700,plain,
( ( sum @ n18 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5701,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668_5702,plain,
( ( sum @ n18 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5703,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_5704,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18840,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n18 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8480,zip_derived_cl669,zip_derived_cl67,zip_derived_cl668,zip_derived_cl66,zip_derived_cl592,zip_derived_cl205]) ).
thf(zip_derived_cl9_5705,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('745',plain,
( ( sk_ != n18 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18840,zip_derived_cl9]) ).
thf(zip_derived_cl1539_5706,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5707,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8479,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n17 @ n16 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8461]) ).
thf(zip_derived_cl638_5708,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5709,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl637_5710,plain,
( ( sum @ n17 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5711,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591_5712,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_5713,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18838,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n17 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8479,zip_derived_cl638,zip_derived_cl66,zip_derived_cl637,zip_derived_cl65,zip_derived_cl591,zip_derived_cl173]) ).
thf(zip_derived_cl11_5714,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('746',plain,
( ( sk__1 != n16 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18838,zip_derived_cl11]) ).
thf(zip_derived_cl1538_5715,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5716,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8478,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n16 @ n16 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8461]) ).
thf(zip_derived_cl607_5717,plain,
( ( sum @ n16 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5718,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl606_5719,plain,
( ( sum @ n16 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5720,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590_5721,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_5722,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18836,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n16 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8478,zip_derived_cl607,zip_derived_cl65,zip_derived_cl606,zip_derived_cl64,zip_derived_cl590,zip_derived_cl141]) ).
thf(zip_derived_cl13_5723,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('747',plain,
( ( sk__1 != n16 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18836,zip_derived_cl13]) ).
thf(zip_derived_cl1536_5724,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5725,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8476,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n14 @ n16 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8461]) ).
thf(zip_derived_cl545_5726,plain,
( ( sum @ n14 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5727,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_5728,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_5729,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619_5730,plain,
( ( sum @ n16 @ n29 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1038_5731,plain,
( ( sum @ n30 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18830,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n14 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8476,zip_derived_cl545,zip_derived_cl63,zip_derived_cl544,zip_derived_cl93,zip_derived_cl619,zip_derived_cl1038]) ).
thf(zip_derived_cl17_5732,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('748',plain,
( ( sk__1 != n16 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18830,zip_derived_cl17]) ).
thf(zip_derived_cl1533_5733,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5734,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8473,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n11 @ n16 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8461]) ).
thf(zip_derived_cl452_5735,plain,
( ( sum @ n11 @ n17 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_5736,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_5737,plain,
( ( sum @ n11 @ n16 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_5738,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616_5739,plain,
( ( sum @ n16 @ n26 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl942_5740,plain,
( ( sum @ n27 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18824,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n11 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8473,zip_derived_cl452,zip_derived_cl91,zip_derived_cl451,zip_derived_cl90,zip_derived_cl616,zip_derived_cl942]) ).
thf(zip_derived_cl23_5741,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('749',plain,
( ( sk_ != n11 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18824,zip_derived_cl23]) ).
thf(zip_derived_cl1531_5742,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5743,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8471,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n9 @ n16 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8461]) ).
thf(zip_derived_cl390_5744,plain,
( ( sum @ n9 @ n17 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_5745,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_5746,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_5747,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614_5748,plain,
( ( sum @ n16 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl878_5749,plain,
( ( sum @ n25 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18820,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n9 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8471,zip_derived_cl390,zip_derived_cl89,zip_derived_cl389,zip_derived_cl88,zip_derived_cl614,zip_derived_cl878]) ).
thf(zip_derived_cl27_5750,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('750',plain,
( ( sk__1 != n16 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18820,zip_derived_cl27]) ).
thf(zip_derived_cl1525_5751,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8461_5752,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2314,zip_derived_cl48]) ).
thf(zip_derived_cl8465,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ n3 @ n16 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8461]) ).
thf(zip_derived_cl204_5753,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5754,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_5755,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_5756,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_5757,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl686_5758,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18806,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n3 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8465,zip_derived_cl204,zip_derived_cl83,zip_derived_cl203,zip_derived_cl82,zip_derived_cl608,zip_derived_cl686]) ).
thf(zip_derived_cl8_5759,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('751',plain,
( ( sk__1 != n16 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18806,zip_derived_cl8]) ).
thf(zip_derived_cl1539_5760,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_5761,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9380,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n17 @ n29 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl9362]) ).
thf(zip_derived_cl651_5762,plain,
( ( sum @ n17 @ n30 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_5763,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_5764,plain,
( ( sum @ n17 @ n29 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5765,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1007_5766,plain,
( ( sum @ n29 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571_5767,plain,
( ( sum @ n15 @ n12 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20610,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n17 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9380,zip_derived_cl651,zip_derived_cl79,zip_derived_cl650,zip_derived_cl78,zip_derived_cl1007,zip_derived_cl571]) ).
thf(zip_derived_cl3_5768,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('752',plain,
( ( sk_ != n17 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20610,zip_derived_cl3]) ).
thf(zip_derived_cl1539_5769,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_5770,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9160,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n17 @ n26 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl9142]) ).
thf(zip_derived_cl648_5771,plain,
( ( sum @ n17 @ n27 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5772,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647_5773,plain,
( ( sum @ n17 @ n26 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5774,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl911_5775,plain,
( ( sum @ n26 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_5776,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20202,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n17 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9160,zip_derived_cl648,zip_derived_cl76,zip_derived_cl647,zip_derived_cl75,zip_derived_cl911,zip_derived_cl472]) ).
thf(zip_derived_cl12_5777,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('753',plain,
( ( sk_ != n17 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20202,zip_derived_cl12]) ).
thf(zip_derived_cl1539_5778,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_5779,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9095,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n17 @ n25 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl9077]) ).
thf(zip_derived_cl647_5780,plain,
( ( sum @ n17 @ n26 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5781,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_5782,plain,
( ( sum @ n17 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5783,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl879_5784,plain,
( ( sum @ n25 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_5785,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20064,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n17 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9095,zip_derived_cl647,zip_derived_cl75,zip_derived_cl646,zip_derived_cl74,zip_derived_cl879,zip_derived_cl439]) ).
thf(zip_derived_cl15_5786,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('754',plain,
( ( sk_ != n17 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20064,zip_derived_cl15]) ).
thf(zip_derived_cl1539_5787,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_5788,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8832,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n17 @ n21 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8814]) ).
thf(zip_derived_cl643_5789,plain,
( ( sum @ n17 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5790,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_5791,plain,
( ( sum @ n17 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5792,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl751_5793,plain,
( ( sum @ n21 @ n6 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_5794,plain,
( ( sum @ n7 @ n27 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19520,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n17 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8832,zip_derived_cl643,zip_derived_cl71,zip_derived_cl642,zip_derived_cl70,zip_derived_cl751,zip_derived_cl338]) ).
thf(zip_derived_cl27_5795,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('755',plain,
( ( sk_ != n17 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19520,zip_derived_cl27]) ).
thf(zip_derived_cl1539_5796,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_5797,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8756,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n17 @ n20 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8738]) ).
thf(zip_derived_cl642_5798,plain,
( ( sum @ n17 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5799,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl641_5800,plain,
( ( sum @ n17 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5801,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_5802,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305_5803,plain,
( ( sum @ n6 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19382,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n17 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8756,zip_derived_cl642,zip_derived_cl70,zip_derived_cl641,zip_derived_cl69,zip_derived_cl719,zip_derived_cl305]) ).
thf(zip_derived_cl30_5804,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('756',plain,
( ( sk_ != n17 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19382,zip_derived_cl30]) ).
thf(zip_derived_cl1539_5805,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_5806,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8691,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n17 @ n19 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8673]) ).
thf(zip_derived_cl641_5807,plain,
( ( sum @ n17 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5808,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5809,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl687_5810,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_5811,plain,
( ( sum @ n5 @ n23 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19246,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n17 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8691,zip_derived_cl641,zip_derived_cl69,zip_derived_cl640,zip_derived_cl68,zip_derived_cl687,zip_derived_cl272]) ).
thf(zip_derived_cl2_5812,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('757',plain,
( ( sk_ != n17 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19246,zip_derived_cl2]) ).
thf(zip_derived_cl1539_5813,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_5814,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8616,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n17 @ n18 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8598]) ).
thf(zip_derived_cl640_5815,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5816,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl639_5817,plain,
( ( sum @ n17 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5818,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl655_5819,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_5820,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19110,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n17 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8616,zip_derived_cl640,zip_derived_cl68,zip_derived_cl639,zip_derived_cl67,zip_derived_cl655,zip_derived_cl239]) ).
thf(zip_derived_cl5_5821,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('758',plain,
( ( sk_ != n17 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19110,zip_derived_cl5]) ).
thf(zip_derived_cl1539_5822,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5823,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8547,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n17 @ n17 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8529]) ).
thf(zip_derived_cl639_5824,plain,
( ( sum @ n17 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5825,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638_5826,plain,
( ( sum @ n17 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5827,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_5828,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18974,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n17 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8547,zip_derived_cl639,zip_derived_cl67,zip_derived_cl638,zip_derived_cl66,zip_derived_cl623,zip_derived_cl206]) ).
thf(zip_derived_cl8_5829,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('759',plain,
( ( sk_ != n17 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18974,zip_derived_cl8]) ).
thf(zip_derived_cl1539_5830,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_5831,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8335,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n17 @ n14 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8317]) ).
thf(zip_derived_cl636_5832,plain,
( ( sum @ n17 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5833,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635_5834,plain,
( ( sum @ n17 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5835,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558_5836,plain,
( ( sum @ n14 @ n30 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_5837,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18564,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n17 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8335,zip_derived_cl636,zip_derived_cl64,zip_derived_cl635,zip_derived_cl63,zip_derived_cl558,zip_derived_cl107]) ).
thf(zip_derived_cl17_5838,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('760',plain,
( ( sk_ != n17 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18564,zip_derived_cl17]) ).
thf(zip_derived_cl1539_5839,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_5840,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8270,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n17 @ n13 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl8252]) ).
thf(zip_derived_cl635_5841,plain,
( ( sum @ n17 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5842,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634_5843,plain,
( ( sum @ n17 @ n13 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_5844,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526_5845,plain,
( ( sum @ n13 @ n29 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1035_5846,plain,
( ( sum @ n30 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18428,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n17 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8270,zip_derived_cl635,zip_derived_cl63,zip_derived_cl634,zip_derived_cl93,zip_derived_cl526,zip_derived_cl1035]) ).
thf(zip_derived_cl20_5847,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('761',plain,
( ( sk_ != n17 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18428,zip_derived_cl20]) ).
thf(zip_derived_cl1539_5848,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_5849,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n17 @ n11 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl5421]) ).
thf(zip_derived_cl633_5850,plain,
( ( sum @ n17 @ n12 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_5851,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_5852,plain,
( ( sum @ n17 @ n11 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_5853,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_5854,plain,
( ( sum @ n11 @ n27 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16084,plain,
( ( sk__2
= ( sum @ n28 @ n7 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5439,zip_derived_cl633,zip_derived_cl92,zip_derived_cl632,zip_derived_cl91,zip_derived_cl462]) ).
thf(zip_derived_cl969_5855,plain,
( ( sum @ n28 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16164,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n17 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16084,zip_derived_cl969]) ).
thf(zip_derived_cl26_5856,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('762',plain,
( ( sk_ != n17 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16164,zip_derived_cl26]) ).
thf(zip_derived_cl1539_5857,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_5858,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4105,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n17 @ n8 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl4087]) ).
thf(zip_derived_cl630_5859,plain,
( ( sum @ n17 @ n9 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_5860,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629_5861,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_5862,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_5863,plain,
( ( sum @ n8 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14645,plain,
( ( sk__2
= ( sum @ n25 @ n1 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4105,zip_derived_cl630,zip_derived_cl89,zip_derived_cl629,zip_derived_cl88,zip_derived_cl366]) ).
thf(zip_derived_cl870_5864,plain,
( ( sum @ n25 @ n1 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15478,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n17 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14645,zip_derived_cl870]) ).
thf(zip_derived_cl4_5865,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('763',plain,
( ( sk_ != n17 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15478,zip_derived_cl4]) ).
thf(zip_derived_cl1539_5866,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_5867,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3684,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n17 @ n7 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl3666]) ).
thf(zip_derived_cl629_5868,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_5869,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_5870,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_5871,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_5872,plain,
( ( sum @ n7 @ n23 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14315,plain,
( ( sk__2
= ( sum @ n24 @ n30 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3684,zip_derived_cl629,zip_derived_cl88,zip_derived_cl628,zip_derived_cl87,zip_derived_cl334]) ).
thf(zip_derived_cl868_5873,plain,
( ( sum @ n24 @ n30 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15458,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n17 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14315,zip_derived_cl868]) ).
thf(zip_derived_cl7_5874,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('764',plain,
( ( sk_ != n17 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15458,zip_derived_cl7]) ).
thf(zip_derived_cl625_5875,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1539_5876,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_5877,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2952,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n17 @ n3 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl2932]) ).
thf(zip_derived_cl14162,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n3 @ ( pred @ ( sum @ n17 @ n3 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl625,zip_derived_cl2952]) ).
thf(zip_derived_cl84_5878,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl624_5879,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_5880,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_5881,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14164,plain,
( ( sk__2
= ( sum @ n20 @ n22 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14162,zip_derived_cl84,zip_derived_cl624,zip_derived_cl83,zip_derived_cl206]) ).
thf(zip_derived_cl736_5882,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14669,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14164,zip_derived_cl736]) ).
thf(zip_derived_cl19_5883,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('765',plain,
( ( sk_ != n17 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14669,zip_derived_cl19]) ).
thf(zip_derived_cl1550_5884,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5885,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8558,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n28 @ n17 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl8529]) ).
thf(zip_derived_cl980_5886,plain,
( ( sum @ n28 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5887,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl979_5888,plain,
( ( sum @ n28 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5889,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634_5890,plain,
( ( sum @ n17 @ n13 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558_5891,plain,
( ( sum @ n14 @ n30 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18998,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n28 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8558,zip_derived_cl980,zip_derived_cl78,zip_derived_cl979,zip_derived_cl77,zip_derived_cl634,zip_derived_cl558]) ).
thf(zip_derived_cl17_5892,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('766',plain,
( ( sk__1 != n17 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18998,zip_derived_cl17]) ).
thf(zip_derived_cl1549_5893,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5894,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8557,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n27 @ n17 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl8529]) ).
thf(zip_derived_cl949_5895,plain,
( ( sum @ n27 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5896,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl948_5897,plain,
( ( sum @ n27 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5898,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633_5899,plain,
( ( sum @ n17 @ n12 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526_5900,plain,
( ( sum @ n13 @ n29 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18996,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n27 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8557,zip_derived_cl949,zip_derived_cl77,zip_derived_cl948,zip_derived_cl76,zip_derived_cl633,zip_derived_cl526]) ).
thf(zip_derived_cl19_5901,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('767',plain,
( ( sk__1 != n17 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18996,zip_derived_cl19]) ).
thf(zip_derived_cl1548_5902,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5903,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8556,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n26 @ n17 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8529]) ).
thf(zip_derived_cl918_5904,plain,
( ( sum @ n26 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5905,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl917_5906,plain,
( ( sum @ n26 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5907,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_5908,plain,
( ( sum @ n17 @ n11 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_5909,plain,
( ( sum @ n12 @ n28 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18994,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n26 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8556,zip_derived_cl918,zip_derived_cl76,zip_derived_cl917,zip_derived_cl75,zip_derived_cl632,zip_derived_cl494]) ).
thf(zip_derived_cl21_5910,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('768',plain,
( ( sk__1 != n17 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18994,zip_derived_cl21]) ).
thf(zip_derived_cl1547_5911,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5912,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8555,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n25 @ n17 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8529]) ).
thf(zip_derived_cl887_5913,plain,
( ( sum @ n25 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5914,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl886_5915,plain,
( ( sum @ n25 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5916,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631_5917,plain,
( ( sum @ n17 @ n10 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_5918,plain,
( ( sum @ n11 @ n27 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18992,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n25 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8555,zip_derived_cl887,zip_derived_cl75,zip_derived_cl886,zip_derived_cl74,zip_derived_cl631,zip_derived_cl462]) ).
thf(zip_derived_cl23_5919,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('769',plain,
( ( sk__1 != n17 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18992,zip_derived_cl23]) ).
thf(zip_derived_cl1546_5920,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5921,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8554,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n24 @ n17 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8529]) ).
thf(zip_derived_cl856_5922,plain,
( ( sum @ n24 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5923,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl855_5924,plain,
( ( sum @ n24 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5925,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630_5926,plain,
( ( sum @ n17 @ n9 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_5927,plain,
( ( sum @ n10 @ n26 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18990,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n24 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8554,zip_derived_cl856,zip_derived_cl74,zip_derived_cl855,zip_derived_cl73,zip_derived_cl630,zip_derived_cl430]) ).
thf(zip_derived_cl25_5928,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('770',plain,
( ( sk__1 != n17 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18990,zip_derived_cl25]) ).
thf(zip_derived_cl1545_5929,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5930,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8553,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n23 @ n17 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8529]) ).
thf(zip_derived_cl825_5931,plain,
( ( sum @ n23 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5932,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl824_5933,plain,
( ( sum @ n23 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5934,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629_5935,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_5936,plain,
( ( sum @ n9 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18986,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n23 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8553,zip_derived_cl825,zip_derived_cl73,zip_derived_cl824,zip_derived_cl72,zip_derived_cl629,zip_derived_cl398]) ).
thf(zip_derived_cl27_5937,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('771',plain,
( ( sk__1 != n17 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18986,zip_derived_cl27]) ).
thf(zip_derived_cl1544_5938,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5939,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8552,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n22 @ n17 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8529]) ).
thf(zip_derived_cl794_5940,plain,
( ( sum @ n22 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5941,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl793_5942,plain,
( ( sum @ n22 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5943,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_5944,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_5945,plain,
( ( sum @ n8 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18984,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n22 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8552,zip_derived_cl794,zip_derived_cl72,zip_derived_cl793,zip_derived_cl71,zip_derived_cl628,zip_derived_cl366]) ).
thf(zip_derived_cl29_5946,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('772',plain,
( ( sk__1 != n17 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18984,zip_derived_cl29]) ).
thf(zip_derived_cl1543_5947,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5948,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8551,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n21 @ n17 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8529]) ).
thf(zip_derived_cl763_5949,plain,
( ( sum @ n21 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5950,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl762_5951,plain,
( ( sum @ n21 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5952,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl627_5953,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_5954,plain,
( ( sum @ n7 @ n23 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18982,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n21 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8551,zip_derived_cl763,zip_derived_cl71,zip_derived_cl762,zip_derived_cl70,zip_derived_cl627,zip_derived_cl334]) ).
thf(zip_derived_cl0_5955,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('773',plain,
( ( sk__1 != n17 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18982,zip_derived_cl0]) ).
thf(zip_derived_cl1540_5956,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8548,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n18 @ n17 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8529]) ).
thf(zip_derived_cl670_5958,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5959,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl669_5960,plain,
( ( sum @ n18 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5961,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl624_5962,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_5963,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18976,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n18 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8548,zip_derived_cl670,zip_derived_cl68,zip_derived_cl669,zip_derived_cl67,zip_derived_cl624,zip_derived_cl238]) ).
thf(zip_derived_cl6_5964,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('774',plain,
( ( sk_ != n18 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18976,zip_derived_cl6]) ).
thf(zip_derived_cl1538_5965,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5966,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8546,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n16 @ n17 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8529]) ).
thf(zip_derived_cl608_5967,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5968,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl607_5969,plain,
( ( sum @ n16 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5970,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622_5971,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_5972,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18972,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n16 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8546,zip_derived_cl608,zip_derived_cl66,zip_derived_cl607,zip_derived_cl65,zip_derived_cl622,zip_derived_cl174]) ).
thf(zip_derived_cl10_5973,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('775',plain,
( ( sk__1 != n17 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18972,zip_derived_cl10]) ).
thf(zip_derived_cl1536_5974,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5975,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8544,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n14 @ n17 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8529]) ).
thf(zip_derived_cl546_5976,plain,
( ( sum @ n14 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5977,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545_5978,plain,
( ( sum @ n14 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5979,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651_5980,plain,
( ( sum @ n17 @ n30 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_5981,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18968,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n14 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8544,zip_derived_cl546,zip_derived_cl64,zip_derived_cl545,zip_derived_cl63,zip_derived_cl651,zip_derived_cl110]) ).
thf(zip_derived_cl14_5982,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('776',plain,
( ( sk__1 != n17 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18968,zip_derived_cl14]) ).
thf(zip_derived_cl1533_5983,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5984,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8541,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n11 @ n17 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8529]) ).
thf(zip_derived_cl453_5985,plain,
( ( sum @ n11 @ n18 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_5986,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_5987,plain,
( ( sum @ n11 @ n17 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_5988,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_5989,plain,
( ( sum @ n17 @ n27 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl975_5990,plain,
( ( sum @ n28 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18960,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n11 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8541,zip_derived_cl453,zip_derived_cl92,zip_derived_cl452,zip_derived_cl91,zip_derived_cl648,zip_derived_cl975]) ).
thf(zip_derived_cl20_5991,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('777',plain,
( ( sk_ != n11 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18960,zip_derived_cl20]) ).
thf(zip_derived_cl1531_5992,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_5993,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8539,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n9 @ n17 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8529]) ).
thf(zip_derived_cl391_5994,plain,
( ( sum @ n9 @ n18 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_5995,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_5996,plain,
( ( sum @ n9 @ n17 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_5997,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_5998,plain,
( ( sum @ n17 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl911_5999,plain,
( ( sum @ n26 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18956,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n9 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8539,zip_derived_cl391,zip_derived_cl90,zip_derived_cl390,zip_derived_cl89,zip_derived_cl646,zip_derived_cl911]) ).
thf(zip_derived_cl24_6000,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('778',plain,
( ( sk__1 != n17 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18956,zip_derived_cl24]) ).
thf(zip_derived_cl1525_6001,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8529_6002,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl2333,zip_derived_cl49]) ).
thf(zip_derived_cl8533,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ n3 @ n17 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8529]) ).
thf(zip_derived_cl205_6003,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_6004,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_6005,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_6006,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_6007,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_6008,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18942,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n3 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8533,zip_derived_cl205,zip_derived_cl84,zip_derived_cl204,zip_derived_cl83,zip_derived_cl640,zip_derived_cl719]) ).
thf(zip_derived_cl5_6009,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('779',plain,
( ( sk__1 != n17 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18942,zip_derived_cl5]) ).
thf(zip_derived_cl1531_6010,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_6011,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9372,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n9 @ n29 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl9362]) ).
thf(zip_derived_cl403_6012,plain,
( ( sum @ n9 @ n30 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_6013,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_6014,plain,
( ( sum @ n9 @ n29 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_6015,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl999_6016,plain,
( ( sum @ n29 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_6017,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20592,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n9 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9372,zip_derived_cl403,zip_derived_cl71,zip_derived_cl402,zip_derived_cl70,zip_derived_cl999,zip_derived_cl315]) ).
thf(zip_derived_cl19_6018,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('780',plain,
( ( sk_ != n9 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20592,zip_derived_cl19]) ).
thf(zip_derived_cl1531_6019,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_6020,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9152,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n9 @ n26 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl9142]) ).
thf(zip_derived_cl400_6021,plain,
( ( sum @ n9 @ n27 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6022,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_6023,plain,
( ( sum @ n9 @ n26 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6024,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl903_6025,plain,
( ( sum @ n26 @ n3 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_6026,plain,
( ( sum @ n4 @ n29 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20184,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n9 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9152,zip_derived_cl400,zip_derived_cl68,zip_derived_cl399,zip_derived_cl67,zip_derived_cl903,zip_derived_cl247]) ).
thf(zip_derived_cl28_6027,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('781',plain,
( ( sk_ != n9 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20184,zip_derived_cl28]) ).
thf(zip_derived_cl1531_6028,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_6029,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9087,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n9 @ n25 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl9077]) ).
thf(zip_derived_cl399_6030,plain,
( ( sum @ n9 @ n26 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6031,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_6032,plain,
( ( sum @ n9 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_6033,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl871_6034,plain,
( ( sum @ n25 @ n2 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_6035,plain,
( ( sum @ n3 @ n27 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20048,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n9 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9087,zip_derived_cl399,zip_derived_cl67,zip_derived_cl398,zip_derived_cl66,zip_derived_cl871,zip_derived_cl214]) ).
thf(zip_derived_cl0_6036,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('782',plain,
( ( sk_ != n9 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20048,zip_derived_cl0]) ).
thf(zip_derived_cl1531_6037,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6038,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8824,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n9 @ n21 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8814]) ).
thf(zip_derived_cl395_6039,plain,
( ( sum @ n9 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_6040,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_6041,plain,
( ( sum @ n9 @ n21 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6042,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl774_6043,plain,
( ( sum @ n21 @ n29 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1043_6044,plain,
( ( sum @ n30 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19502,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n9 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8824,zip_derived_cl395,zip_derived_cl63,zip_derived_cl394,zip_derived_cl93,zip_derived_cl774,zip_derived_cl1043]) ).
thf(zip_derived_cl12_6045,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('783',plain,
( ( sk_ != n9 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19502,zip_derived_cl12]) ).
thf(zip_derived_cl1531_6046,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6047,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8748,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n9 @ n20 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8738]) ).
thf(zip_derived_cl394_6048,plain,
( ( sum @ n9 @ n21 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6049,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_6050,plain,
( ( sum @ n9 @ n20 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6051,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742_6052,plain,
( ( sum @ n20 @ n28 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1010_6053,plain,
( ( sum @ n29 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19366,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n9 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8748,zip_derived_cl394,zip_derived_cl93,zip_derived_cl393,zip_derived_cl92,zip_derived_cl742,zip_derived_cl1010]) ).
thf(zip_derived_cl15_6054,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('784',plain,
( ( sk_ != n9 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19366,zip_derived_cl15]) ).
thf(zip_derived_cl1531_6055,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6056,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8683,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n9 @ n19 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8673]) ).
thf(zip_derived_cl393_6057,plain,
( ( sum @ n9 @ n20 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6058,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_6059,plain,
( ( sum @ n9 @ n19 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_6060,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710_6061,plain,
( ( sum @ n19 @ n27 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl977_6062,plain,
( ( sum @ n28 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19228,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n9 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8683,zip_derived_cl393,zip_derived_cl92,zip_derived_cl392,zip_derived_cl91,zip_derived_cl710,zip_derived_cl977]) ).
thf(zip_derived_cl18_6063,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('785',plain,
( ( sk_ != n9 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19228,zip_derived_cl18]) ).
thf(zip_derived_cl1531_6064,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_6065,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8608,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n9 @ n18 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8598]) ).
thf(zip_derived_cl392_6066,plain,
( ( sum @ n9 @ n19 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_6067,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391_6068,plain,
( ( sum @ n9 @ n18 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_6069,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_6070,plain,
( ( sum @ n18 @ n26 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl944_6071,plain,
( ( sum @ n27 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19092,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n9 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8608,zip_derived_cl392,zip_derived_cl91,zip_derived_cl391,zip_derived_cl90,zip_derived_cl678,zip_derived_cl944]) ).
thf(zip_derived_cl21_6072,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('786',plain,
( ( sk_ != n9 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19092,zip_derived_cl21]) ).
thf(zip_derived_cl1531_6073,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_6074,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8327,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n9 @ n14 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8317]) ).
thf(zip_derived_cl388_6075,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_6076,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_6077,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_6078,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550_6079,plain,
( ( sum @ n14 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl812_6080,plain,
( ( sum @ n23 @ n5 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18546,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n9 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8327,zip_derived_cl388,zip_derived_cl87,zip_derived_cl387,zip_derived_cl86,zip_derived_cl550,zip_derived_cl812]) ).
thf(zip_derived_cl2_6081,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('787',plain,
( ( sk_ != n9 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18546,zip_derived_cl2]) ).
thf(zip_derived_cl1531_6082,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_6083,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8262,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n9 @ n13 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl8252]) ).
thf(zip_derived_cl387_6084,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_6085,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_6086,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_6087,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518_6088,plain,
( ( sum @ n13 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl779_6089,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18410,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n9 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8262,zip_derived_cl387,zip_derived_cl86,zip_derived_cl386,zip_derived_cl85,zip_derived_cl518,zip_derived_cl779]) ).
thf(zip_derived_cl5_6090,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('788',plain,
( ( sk_ != n9 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18410,zip_derived_cl5]) ).
thf(zip_derived_cl1531_6091,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6092,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5431,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n9 @ n11 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl5421]) ).
thf(zip_derived_cl385_6093,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_6094,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_6095,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_6096,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_6097,plain,
( ( sum @ n11 @ n19 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744_6098,plain,
( ( sum @ n20 @ n30 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16064,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n9 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5431,zip_derived_cl385,zip_derived_cl84,zip_derived_cl384,zip_derived_cl83,zip_derived_cl454,zip_derived_cl744]) ).
thf(zip_derived_cl11_6099,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('789',plain,
( ( sk_ != n9 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16064,zip_derived_cl11]) ).
thf(zip_derived_cl1531_6100,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_6101,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4097,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n9 @ n8 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl4087]) ).
thf(zip_derived_cl382_6102,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6103,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_6104,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6105,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_6106,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645_6107,plain,
( ( sum @ n17 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14633,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n9 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4097,zip_derived_cl382,zip_derived_cl81,zip_derived_cl381,zip_derived_cl80,zip_derived_cl358,zip_derived_cl645]) ).
thf(zip_derived_cl20_6108,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('790',plain,
( ( sk_ != n9 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14633,zip_derived_cl20]) ).
thf(zip_derived_cl1531_6109,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_6110,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3676,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n9 @ n7 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl3666]) ).
thf(zip_derived_cl381_6111,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6112,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_6113,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6114,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_6115,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612_6116,plain,
( ( sum @ n16 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14305,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n9 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3676,zip_derived_cl381,zip_derived_cl80,zip_derived_cl380,zip_derived_cl79,zip_derived_cl326,zip_derived_cl612]) ).
thf(zip_derived_cl23_6117,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('791',plain,
( ( sk_ != n9 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14305,zip_derived_cl23]) ).
thf(zip_derived_cl1531_6118,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6119,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2944,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n9 @ n3 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl2932]) ).
thf(zip_derived_cl377_6120,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6121,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_6122,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6123,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_6124,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_6125,plain,
( ( sum @ n12 @ n14 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13923,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2944,zip_derived_cl377,zip_derived_cl76,zip_derived_cl376,zip_derived_cl75,zip_derived_cl198,zip_derived_cl480]) ).
thf(zip_derived_cl4_6126,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('792',plain,
( ( sk_ != n9 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13923,zip_derived_cl4]) ).
thf(zip_derived_cl935_6127,plain,
( ( sum @ n27 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_6128,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6129,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2962,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n27 @ n3 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl2932]) ).
thf(zip_derived_cl15899,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n3 @ ( pred @ ( sum @ n27 @ n3 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl935,zip_derived_cl2962]) ).
thf(zip_derived_cl63_6130,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl934_6131,plain,
( ( sum @ n27 @ n3 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6132,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_6133,plain,
( ( sum @ n3 @ n29 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15903,plain,
( ( sk__2
= ( sum @ n30 @ n1 ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15899,zip_derived_cl63,zip_derived_cl934,zip_derived_cl93,zip_derived_cl216]) ).
thf(zip_derived_cl1025_6134,plain,
( ( sum @ n30 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16578,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n27 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15903,zip_derived_cl1025]) ).
thf(zip_derived_cl30_6135,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('793',plain,
( ( sk__1 != n3 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16578,zip_derived_cl30]) ).
thf(zip_derived_cl904_6136,plain,
( ( sum @ n26 @ n4 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_6137,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6138,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2961,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n26 @ n3 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl2932]) ).
thf(zip_derived_cl15679,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n3 @ ( pred @ ( sum @ n26 @ n3 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl904,zip_derived_cl2961]) ).
thf(zip_derived_cl93_6139,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl903_6140,plain,
( ( sum @ n26 @ n3 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6141,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_6142,plain,
( ( sum @ n3 @ n28 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15684,plain,
( ( sk__2
= ( sum @ n29 @ n0 ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15679,zip_derived_cl93,zip_derived_cl903,zip_derived_cl92,zip_derived_cl215]) ).
thf(zip_derived_cl993_6143,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16321,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n26 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15684,zip_derived_cl993]) ).
thf(zip_derived_cl1_6144,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('794',plain,
( ( sk__1 != n3 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16321,zip_derived_cl1]) ).
thf(zip_derived_cl873_6145,plain,
( ( sum @ n25 @ n4 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_6146,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6147,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2960,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n25 @ n3 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl2932]) ).
thf(zip_derived_cl15498,plain,
( ( sk__2
= ( sum @ ( pred @ n29 ) @ ( sum @ n3 @ ( pred @ ( sum @ n25 @ n3 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl873,zip_derived_cl2960]) ).
thf(zip_derived_cl92_6148,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl872_6149,plain,
( ( sum @ n25 @ n3 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_6150,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_6151,plain,
( ( sum @ n3 @ n27 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15500,plain,
( ( sk__2
= ( sum @ n28 @ n30 ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15498,zip_derived_cl92,zip_derived_cl872,zip_derived_cl91,zip_derived_cl214]) ).
thf(zip_derived_cl992_6152,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16312,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n25 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15500,zip_derived_cl992]) ).
thf(zip_derived_cl3_6153,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('795',plain,
( ( sk__1 != n3 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16312,zip_derived_cl3]) ).
thf(zip_derived_cl966_6154,plain,
( ( sum @ n28 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_6155,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6156,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2963,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n28 @ n3 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl2932]) ).
thf(zip_derived_cl16127,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n3 @ ( pred @ ( sum @ n28 @ n3 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl966,zip_derived_cl2963]) ).
thf(zip_derived_cl64_6157,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl965_6158,plain,
( ( sum @ n28 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_6159,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_6160,plain,
( ( sum @ n3 @ n30 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_6161,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16131,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n28 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16127,zip_derived_cl64,zip_derived_cl965,zip_derived_cl63,zip_derived_cl217,zip_derived_cl96]) ).
thf(zip_derived_cl28_6162,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('796',plain,
( ( sk__1 != n3 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16131,zip_derived_cl28]) ).
thf(zip_derived_cl842_6163,plain,
( ( sum @ n24 @ n4 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_6164,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6165,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2959,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n24 @ n3 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl2932]) ).
thf(zip_derived_cl15276,plain,
( ( sk__2
= ( sum @ ( pred @ n28 ) @ ( sum @ n3 @ ( pred @ ( sum @ n24 @ n3 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl842,zip_derived_cl2959]) ).
thf(zip_derived_cl91_6166,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl841_6167,plain,
( ( sum @ n24 @ n3 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_6168,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_6169,plain,
( ( sum @ n3 @ n26 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15278,plain,
( ( sk__2
= ( sum @ n27 @ n29 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15276,zip_derived_cl91,zip_derived_cl841,zip_derived_cl90,zip_derived_cl213]) ).
thf(zip_derived_cl960_6170,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16080,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n24 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15278,zip_derived_cl960]) ).
thf(zip_derived_cl5_6171,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('797',plain,
( ( sk__1 != n3 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16080,zip_derived_cl5]) ).
thf(zip_derived_cl811_6172,plain,
( ( sum @ n23 @ n4 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_6173,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6174,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2958,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n23 @ n3 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl2932]) ).
thf(zip_derived_cl15090,plain,
( ( sk__2
= ( sum @ ( pred @ n27 ) @ ( sum @ n3 @ ( pred @ ( sum @ n23 @ n3 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl811,zip_derived_cl2958]) ).
thf(zip_derived_cl90_6175,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl810_6176,plain,
( ( sum @ n23 @ n3 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_6177,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_6178,plain,
( ( sum @ n3 @ n25 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15092,plain,
( ( sk__2
= ( sum @ n26 @ n28 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15090,zip_derived_cl90,zip_derived_cl810,zip_derived_cl89,zip_derived_cl212]) ).
thf(zip_derived_cl928_6179,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15836,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n23 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15092,zip_derived_cl928]) ).
thf(zip_derived_cl7_6180,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('798',plain,
( ( sk__1 != n3 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15836,zip_derived_cl7]) ).
thf(zip_derived_cl780_6181,plain,
( ( sum @ n22 @ n4 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_6182,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6183,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n22 @ n3 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl2932]) ).
thf(zip_derived_cl14929,plain,
( ( sk__2
= ( sum @ ( pred @ n26 ) @ ( sum @ n3 @ ( pred @ ( sum @ n22 @ n3 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl780,zip_derived_cl2957]) ).
thf(zip_derived_cl89_6184,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl779_6185,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_6186,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_6187,plain,
( ( sum @ n3 @ n24 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14931,plain,
( ( sk__2
= ( sum @ n25 @ n27 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14929,zip_derived_cl89,zip_derived_cl779,zip_derived_cl88,zip_derived_cl211]) ).
thf(zip_derived_cl896_6188,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15618,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n22 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14931,zip_derived_cl896]) ).
thf(zip_derived_cl9_6189,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('799',plain,
( ( sk__1 != n3 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15618,zip_derived_cl9]) ).
thf(zip_derived_cl749_6190,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_6191,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6192,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2956,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n21 @ n3 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl2932]) ).
thf(zip_derived_cl14736,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n3 @ ( pred @ ( sum @ n21 @ n3 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl749,zip_derived_cl2956]) ).
thf(zip_derived_cl88_6193,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl748_6194,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_6195,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_6196,plain,
( ( sum @ n3 @ n23 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14739,plain,
( ( sk__2
= ( sum @ n24 @ n26 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14736,zip_derived_cl88,zip_derived_cl748,zip_derived_cl87,zip_derived_cl210]) ).
thf(zip_derived_cl864_6197,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15422,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n21 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14739,zip_derived_cl864]) ).
thf(zip_derived_cl11_6198,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('800',plain,
( ( sk__1 != n3 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15422,zip_derived_cl11]) ).
thf(zip_derived_cl656_6199,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1540_6200,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6201,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2953,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n18 @ n3 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl2932]) ).
thf(zip_derived_cl14275,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n3 @ ( pred @ ( sum @ n18 @ n3 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl656,zip_derived_cl2953]) ).
thf(zip_derived_cl85_6202,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl655_6203,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_6204,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14278,plain,
( ( sk__2
= ( sum @ n21 @ n23 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14275,zip_derived_cl85,zip_derived_cl655,zip_derived_cl84,zip_derived_cl207]) ).
thf(zip_derived_cl768_6205,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14840,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14278,zip_derived_cl768]) ).
thf(zip_derived_cl17_6206,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('801',plain,
( ( sk_ != n18 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14840,zip_derived_cl17]) ).
thf(zip_derived_cl594_6207,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1538_6208,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6209,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2951,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n16 @ n3 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl2932]) ).
thf(zip_derived_cl14059,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n3 @ ( pred @ ( sum @ n16 @ n3 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl594,zip_derived_cl2951]) ).
thf(zip_derived_cl83_6210,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl593_6211,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_6212,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_6213,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14061,plain,
( ( sk__2
= ( sum @ n19 @ n21 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14059,zip_derived_cl83,zip_derived_cl593,zip_derived_cl82,zip_derived_cl205]) ).
thf(zip_derived_cl704_6214,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14505,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14061,zip_derived_cl704]) ).
thf(zip_derived_cl21_6215,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('802',plain,
( ( sk__1 != n3 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14505,zip_derived_cl21]) ).
thf(zip_derived_cl1536_6216,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6217,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2949,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n14 @ n3 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl2932]) ).
thf(zip_derived_cl532_6218,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6219,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531_6220,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6221,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_6222,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13931,plain,
( ( sk__2
= ( sum @ n17 @ n19 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2949,zip_derived_cl532,zip_derived_cl81,zip_derived_cl531,zip_derived_cl80,zip_derived_cl203]) ).
thf(zip_derived_cl640_6223,plain,
( ( sum @ n17 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14211,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13931,zip_derived_cl640]) ).
thf(zip_derived_cl25_6224,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('803',plain,
( ( sk__1 != n3 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14211,zip_derived_cl25]) ).
thf(zip_derived_cl1533_6225,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6226,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2946,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n11 @ n3 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl2932]) ).
thf(zip_derived_cl439_6227,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6228,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_6229,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6230,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_6231,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_6232,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13927,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2946,zip_derived_cl439,zip_derived_cl78,zip_derived_cl438,zip_derived_cl77,zip_derived_cl200,zip_derived_cl544]) ).
thf(zip_derived_cl0_6233,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('804',plain,
( ( sk_ != n11 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13927,zip_derived_cl0]) ).
thf(zip_derived_cl1525_6234,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl2932_6235,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl35]) ).
thf(zip_derived_cl2938,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ n3 @ n3 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl2932]) ).
thf(zip_derived_cl191_6236,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_6237,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_6238,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_6239,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_6240,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_6241,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13911,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n3 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2938,zip_derived_cl191,zip_derived_cl70,zip_derived_cl190,zip_derived_cl69,zip_derived_cl192,zip_derived_cl288]) ).
thf(zip_derived_cl16_6242,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('805',plain,
( ( sk__1 != n3 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13911,zip_derived_cl16]) ).
thf(zip_derived_cl1525_6243,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_6244,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9366,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n3 @ n29 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl9362]) ).
thf(zip_derived_cl217_6245,plain,
( ( sum @ n3 @ n30 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_6246,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_6247,plain,
( ( sum @ n3 @ n29 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_6248,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl993_6249,plain,
( ( sum @ n29 @ n0 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_6250,plain,
( ( sum @ n1 @ n29 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20580,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n3 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9366,zip_derived_cl217,zip_derived_cl65,zip_derived_cl216,zip_derived_cl64,zip_derived_cl993,zip_derived_cl154]) ).
thf(zip_derived_cl0_6251,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('806',plain,
( ( sk_ != n3 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20580,zip_derived_cl0]) ).
thf(zip_derived_cl1525_6252,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_6253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9146,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n3 @ n26 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl9142]) ).
thf(zip_derived_cl214_6254,plain,
( ( sum @ n3 @ n27 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6255,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_6256,plain,
( ( sum @ n3 @ n26 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6257,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl928_6258,plain,
( ( sum @ n26 @ n28 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1016_6259,plain,
( ( sum @ n29 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20170,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n3 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9146,zip_derived_cl214,zip_derived_cl93,zip_derived_cl213,zip_derived_cl92,zip_derived_cl928,zip_derived_cl1016]) ).
thf(zip_derived_cl9_6260,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('807',plain,
( ( sk_ != n3 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20170,zip_derived_cl9]) ).
thf(zip_derived_cl1525_6261,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_6262,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9081,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n3 @ n25 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl9077]) ).
thf(zip_derived_cl213_6263,plain,
( ( sum @ n3 @ n26 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6264,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_6265,plain,
( ( sum @ n3 @ n25 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_6266,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl896_6267,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl983_6268,plain,
( ( sum @ n28 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20034,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n3 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9081,zip_derived_cl213,zip_derived_cl92,zip_derived_cl212,zip_derived_cl91,zip_derived_cl896,zip_derived_cl983]) ).
thf(zip_derived_cl12_6269,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('808',plain,
( ( sk_ != n3 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20034,zip_derived_cl12]) ).
thf(zip_derived_cl1525_6270,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6271,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8818,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n3 @ n21 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8814]) ).
thf(zip_derived_cl209_6272,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_6273,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_6274,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_6275,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl768_6276,plain,
( ( sum @ n21 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl851_6277,plain,
( ( sum @ n24 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19488,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n3 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8818,zip_derived_cl209,zip_derived_cl88,zip_derived_cl208,zip_derived_cl87,zip_derived_cl768,zip_derived_cl851]) ).
thf(zip_derived_cl24_6278,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('809',plain,
( ( sk_ != n3 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19488,zip_derived_cl24]) ).
thf(zip_derived_cl1525_6279,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6280,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8742,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n3 @ n20 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8738]) ).
thf(zip_derived_cl208_6281,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_6282,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_6283,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_6284,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_6285,plain,
( ( sum @ n20 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl818_6286,plain,
( ( sum @ n23 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19352,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n3 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8742,zip_derived_cl208,zip_derived_cl87,zip_derived_cl207,zip_derived_cl86,zip_derived_cl736,zip_derived_cl818]) ).
thf(zip_derived_cl27_6287,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('810',plain,
( ( sk_ != n3 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19352,zip_derived_cl27]) ).
thf(zip_derived_cl1525_6288,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6289,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8677,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n3 @ n19 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8673]) ).
thf(zip_derived_cl207_6290,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_6291,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_6292,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_6293,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_6294,plain,
( ( sum @ n19 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl785_6295,plain,
( ( sum @ n22 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19216,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n3 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8677,zip_derived_cl207,zip_derived_cl86,zip_derived_cl206,zip_derived_cl85,zip_derived_cl704,zip_derived_cl785]) ).
thf(zip_derived_cl30_6296,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('811',plain,
( ( sk_ != n3 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19216,zip_derived_cl30]) ).
thf(zip_derived_cl1525_6297,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_6298,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8602,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n3 @ n18 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8598]) ).
thf(zip_derived_cl206_6299,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_6300,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_6301,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_6302,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_6303,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl752_6304,plain,
( ( sum @ n21 @ n7 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19080,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n3 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8602,zip_derived_cl206,zip_derived_cl85,zip_derived_cl205,zip_derived_cl84,zip_derived_cl672,zip_derived_cl752]) ).
thf(zip_derived_cl2_6305,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('812',plain,
( ( sk_ != n3 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19080,zip_derived_cl2]) ).
thf(zip_derived_cl1525_6306,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_6307,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8321,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n3 @ n14 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8317]) ).
thf(zip_derived_cl202_6308,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6309,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_6310,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6311,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_6312,plain,
( ( sum @ n14 @ n16 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651_6313,plain,
( ( sum @ n17 @ n30 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18534,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n3 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8321,zip_derived_cl202,zip_derived_cl81,zip_derived_cl201,zip_derived_cl80,zip_derived_cl544,zip_derived_cl651]) ).
thf(zip_derived_cl14_6314,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('813',plain,
( ( sk_ != n3 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18534,zip_derived_cl14]) ).
thf(zip_derived_cl1525_6315,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_6316,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8256,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n3 @ n13 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl8252]) ).
thf(zip_derived_cl201_6317,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6318,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_6319,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6320,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_6321,plain,
( ( sum @ n13 @ n15 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618_6322,plain,
( ( sum @ n16 @ n28 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18398,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n3 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8256,zip_derived_cl201,zip_derived_cl80,zip_derived_cl200,zip_derived_cl79,zip_derived_cl512,zip_derived_cl618]) ).
thf(zip_derived_cl17_6323,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('814',plain,
( ( sk_ != n3 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18398,zip_derived_cl17]) ).
thf(zip_derived_cl1525_6324,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6325,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5425,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n3 @ n11 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl5421]) ).
thf(zip_derived_cl199_6326,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6327,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_6328,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6329,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_6330,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552_6331,plain,
( ( sum @ n14 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16048,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n3 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5425,zip_derived_cl199,zip_derived_cl78,zip_derived_cl198,zip_derived_cl77,zip_derived_cl448,zip_derived_cl552]) ).
thf(zip_derived_cl23_6332,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('815',plain,
( ( sk_ != n3 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16048,zip_derived_cl23]) ).
thf(zip_derived_cl1525_6333,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_6334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4091,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n3 @ n8 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl4087]) ).
thf(zip_derived_cl196_6335,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6336,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_6337,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6338,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_6339,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_6340,plain,
( ( sum @ n11 @ n18 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14577,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n3 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4091,zip_derived_cl196,zip_derived_cl75,zip_derived_cl195,zip_derived_cl74,zip_derived_cl352,zip_derived_cl453]) ).
thf(zip_derived_cl1_6341,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('816',plain,
( ( sk_ != n3 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14577,zip_derived_cl1]) ).
thf(zip_derived_cl1525_6342,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_6343,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3670,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n3 @ n7 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl3666]) ).
thf(zip_derived_cl195_6344,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6345,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_6346,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_6347,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_6348,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_6349,plain,
( ( sum @ n10 @ n16 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14273,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n3 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3670,zip_derived_cl195,zip_derived_cl74,zip_derived_cl194,zip_derived_cl73,zip_derived_cl320,zip_derived_cl420]) ).
thf(zip_derived_cl4_6350,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('817',plain,
( ( sk_ != n3 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14273,zip_derived_cl4]) ).
thf(zip_derived_cl1540_6351,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6352,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5440,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n18 @ n11 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl5421]) ).
thf(zip_derived_cl664_6353,plain,
( ( sum @ n18 @ n12 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6354,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663_6355,plain,
( ( sum @ n18 @ n11 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6356,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463_6357,plain,
( ( sum @ n11 @ n28 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16087,plain,
( ( sk__2
= ( sum @ n29 @ n8 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5440,zip_derived_cl664,zip_derived_cl93,zip_derived_cl663,zip_derived_cl92,zip_derived_cl463]) ).
thf(zip_derived_cl1001_6358,plain,
( ( sum @ n29 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16405,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n18 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16087,zip_derived_cl1001]) ).
thf(zip_derived_cl24_6359,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('818',plain,
( ( sk_ != n18 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16405,zip_derived_cl24]) ).
thf(zip_derived_cl974_6360,plain,
( ( sum @ n28 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_6361,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6362,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5450,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n28 @ n11 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl5421]) ).
thf(zip_derived_cl16210,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n11 @ ( pred @ ( sum @ n28 @ n11 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl974,zip_derived_cl5450]) ).
thf(zip_derived_cl72_6363,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl973_6364,plain,
( ( sum @ n28 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_6365,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_6366,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_6367,plain,
( ( sum @ n8 @ n18 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16212,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n28 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl72,zip_derived_cl973,zip_derived_cl71,zip_derived_cl442,zip_derived_cl360]) ).
thf(zip_derived_cl4_6368,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('819',plain,
( ( sk__1 != n11 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16212,zip_derived_cl4]) ).
thf(zip_derived_cl1549_6369,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6370,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5449,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n27 @ n11 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl5421]) ).
thf(zip_derived_cl943_6371,plain,
( ( sum @ n27 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_6372,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl942_6373,plain,
( ( sum @ n27 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_6374,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_6375,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_6376,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16200,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n27 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5449,zip_derived_cl943,zip_derived_cl71,zip_derived_cl942,zip_derived_cl70,zip_derived_cl441,zip_derived_cl328]) ).
thf(zip_derived_cl6_6377,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('820',plain,
( ( sk__1 != n11 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16200,zip_derived_cl6]) ).
thf(zip_derived_cl1548_6378,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6379,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5448,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n26 @ n11 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl5421]) ).
thf(zip_derived_cl912_6380,plain,
( ( sum @ n26 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_6381,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl911_6382,plain,
( ( sum @ n26 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_6383,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_6384,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_6385,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16190,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n26 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5448,zip_derived_cl912,zip_derived_cl70,zip_derived_cl911,zip_derived_cl69,zip_derived_cl440,zip_derived_cl296]) ).
thf(zip_derived_cl8_6386,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('821',plain,
( ( sk__1 != n11 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16190,zip_derived_cl8]) ).
thf(zip_derived_cl1547_6387,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6388,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5447,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n25 @ n11 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl5421]) ).
thf(zip_derived_cl881_6389,plain,
( ( sum @ n25 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_6390,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl880_6391,plain,
( ( sum @ n25 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6392,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_6393,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_6394,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16180,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n25 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5447,zip_derived_cl881,zip_derived_cl69,zip_derived_cl880,zip_derived_cl68,zip_derived_cl439,zip_derived_cl264]) ).
thf(zip_derived_cl10_6395,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('822',plain,
( ( sk__1 != n11 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16180,zip_derived_cl10]) ).
thf(zip_derived_cl1546_6396,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6397,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5446,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n24 @ n11 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl5421]) ).
thf(zip_derived_cl850_6398,plain,
( ( sum @ n24 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6399,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl849_6400,plain,
( ( sum @ n24 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6401,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_6402,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_6403,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16178,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n24 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5446,zip_derived_cl850,zip_derived_cl68,zip_derived_cl849,zip_derived_cl67,zip_derived_cl438,zip_derived_cl232]) ).
thf(zip_derived_cl12_6404,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('823',plain,
( ( sk__1 != n11 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16178,zip_derived_cl12]) ).
thf(zip_derived_cl1545_6405,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6406,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5445,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n23 @ n11 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl5421]) ).
thf(zip_derived_cl819_6407,plain,
( ( sum @ n23 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6408,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl818_6409,plain,
( ( sum @ n23 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_6410,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_6411,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_6412,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16159,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n23 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5445,zip_derived_cl819,zip_derived_cl67,zip_derived_cl818,zip_derived_cl66,zip_derived_cl437,zip_derived_cl200]) ).
thf(zip_derived_cl14_6413,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('824',plain,
( ( sk__1 != n11 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16159,zip_derived_cl14]) ).
thf(zip_derived_cl1544_6414,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6415,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5444,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n22 @ n11 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl5421]) ).
thf(zip_derived_cl788_6416,plain,
( ( sum @ n22 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_6417,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl787_6418,plain,
( ( sum @ n22 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_6419,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_6420,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_6421,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16137,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n22 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5444,zip_derived_cl788,zip_derived_cl66,zip_derived_cl787,zip_derived_cl65,zip_derived_cl436,zip_derived_cl168]) ).
thf(zip_derived_cl16_6422,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('825',plain,
( ( sk__1 != n11 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16137,zip_derived_cl16]) ).
thf(zip_derived_cl1543_6423,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6424,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5443,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n21 @ n11 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl5421]) ).
thf(zip_derived_cl757_6425,plain,
( ( sum @ n21 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_6426,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl756_6427,plain,
( ( sum @ n21 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_6428,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_6429,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_6430,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16102,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n21 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5443,zip_derived_cl757,zip_derived_cl65,zip_derived_cl756,zip_derived_cl64,zip_derived_cl435,zip_derived_cl136]) ).
thf(zip_derived_cl18_6431,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('826',plain,
( ( sk__1 != n11 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16102,zip_derived_cl18]) ).
thf(zip_derived_cl1538_6432,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6433,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5438,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n16 @ n11 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl5421]) ).
thf(zip_derived_cl602_6434,plain,
( ( sum @ n16 @ n12 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_6435,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601_6436,plain,
( ( sum @ n16 @ n11 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_6437,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_6438,plain,
( ( sum @ n11 @ n26 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl937_6439,plain,
( ( sum @ n27 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16082,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n16 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5438,zip_derived_cl602,zip_derived_cl91,zip_derived_cl601,zip_derived_cl90,zip_derived_cl461,zip_derived_cl937]) ).
thf(zip_derived_cl28_6440,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('827',plain,
( ( sk__1 != n11 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16082,zip_derived_cl28]) ).
thf(zip_derived_cl1536_6441,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6442,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5436,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n14 @ n11 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl5421]) ).
thf(zip_derived_cl540_6443,plain,
( ( sum @ n14 @ n12 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_6444,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl539_6445,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_6446,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_6447,plain,
( ( sum @ n11 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl873_6448,plain,
( ( sum @ n25 @ n4 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16076,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n14 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5436,zip_derived_cl540,zip_derived_cl89,zip_derived_cl539,zip_derived_cl88,zip_derived_cl459,zip_derived_cl873]) ).
thf(zip_derived_cl1_6449,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('828',plain,
( ( sk__1 != n11 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16076,zip_derived_cl1]) ).
thf(zip_derived_cl1533_6450,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl5421_6451,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2149]) ).
thf(zip_derived_cl5433,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ n11 @ n11 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl5421]) ).
thf(zip_derived_cl447_6452,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_6453,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_6454,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_6455,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456_6456,plain,
( ( sum @ n11 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl777_6457,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16068,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n11 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5433,zip_derived_cl447,zip_derived_cl86,zip_derived_cl446,zip_derived_cl85,zip_derived_cl456,zip_derived_cl777]) ).
thf(zip_derived_cl7_6458,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('829',plain,
( ( sk_ != n11 )
| ( sk__1 != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16068,zip_derived_cl7]) ).
thf(zip_derived_cl1536_6459,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_6460,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9377,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n14 @ n29 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl9362]) ).
thf(zip_derived_cl558_6461,plain,
( ( sum @ n14 @ n30 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6462,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557_6463,plain,
( ( sum @ n14 @ n29 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6464,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1004_6465,plain,
( ( sum @ n29 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475_6466,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20604,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n14 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9377,zip_derived_cl558,zip_derived_cl76,zip_derived_cl557,zip_derived_cl75,zip_derived_cl1004,zip_derived_cl475]) ).
thf(zip_derived_cl9_6467,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('830',plain,
( ( sk_ != n14 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20604,zip_derived_cl9]) ).
thf(zip_derived_cl1536_6468,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_6469,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9157,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n14 @ n26 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl9142]) ).
thf(zip_derived_cl555_6470,plain,
( ( sum @ n14 @ n27 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_6471,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554_6472,plain,
( ( sum @ n14 @ n26 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_6473,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl908_6474,plain,
( ( sum @ n26 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_6475,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20194,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n14 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9157,zip_derived_cl555,zip_derived_cl73,zip_derived_cl554,zip_derived_cl72,zip_derived_cl908,zip_derived_cl376]) ).
thf(zip_derived_cl18_6476,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('831',plain,
( ( sk_ != n14 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20194,zip_derived_cl18]) ).
thf(zip_derived_cl1536_6477,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_6478,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9092,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n14 @ n25 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl9077]) ).
thf(zip_derived_cl554_6479,plain,
( ( sum @ n14 @ n26 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_6480,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553_6481,plain,
( ( sum @ n14 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_6482,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl876_6483,plain,
( ( sum @ n25 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_6484,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20058,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n14 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9092,zip_derived_cl554,zip_derived_cl72,zip_derived_cl553,zip_derived_cl71,zip_derived_cl876,zip_derived_cl343]) ).
thf(zip_derived_cl21_6485,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('832',plain,
( ( sk_ != n14 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20058,zip_derived_cl21]) ).
thf(zip_derived_cl1536_6486,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6487,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8829,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n14 @ n21 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8814]) ).
thf(zip_derived_cl550_6488,plain,
( ( sum @ n14 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6489,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549_6490,plain,
( ( sum @ n14 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6491,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl748_6492,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_6493,plain,
( ( sum @ n4 @ n24 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19512,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n14 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8829,zip_derived_cl550,zip_derived_cl68,zip_derived_cl549,zip_derived_cl67,zip_derived_cl748,zip_derived_cl242]) ).
thf(zip_derived_cl2_6494,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('833',plain,
( ( sk_ != n14 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19512,zip_derived_cl2]) ).
thf(zip_derived_cl1536_6495,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6496,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8753,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n14 @ n20 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8738]) ).
thf(zip_derived_cl549_6497,plain,
( ( sum @ n14 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6498,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548_6499,plain,
( ( sum @ n14 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_6500,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716_6501,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_6502,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19376,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n14 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8753,zip_derived_cl549,zip_derived_cl67,zip_derived_cl548,zip_derived_cl66,zip_derived_cl716,zip_derived_cl209]) ).
thf(zip_derived_cl5_6503,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('834',plain,
( ( sk_ != n14 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19376,zip_derived_cl5]) ).
thf(zip_derived_cl1536_6504,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6505,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8688,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n14 @ n19 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8673]) ).
thf(zip_derived_cl548_6506,plain,
( ( sum @ n14 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_6507,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547_6508,plain,
( ( sum @ n14 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_6509,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684_6510,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_6511,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19240,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n14 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8688,zip_derived_cl548,zip_derived_cl66,zip_derived_cl547,zip_derived_cl65,zip_derived_cl684,zip_derived_cl176]) ).
thf(zip_derived_cl8_6512,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('835',plain,
( ( sk_ != n14 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19240,zip_derived_cl8]) ).
thf(zip_derived_cl1536_6513,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_6514,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8613,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n14 @ n18 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8598]) ).
thf(zip_derived_cl547_6515,plain,
( ( sum @ n14 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_6516,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_6517,plain,
( ( sum @ n14 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_6518,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl652_6519,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_6520,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19104,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n14 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8613,zip_derived_cl547,zip_derived_cl65,zip_derived_cl546,zip_derived_cl64,zip_derived_cl652,zip_derived_cl143]) ).
thf(zip_derived_cl11_6521,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('836',plain,
( ( sk_ != n14 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19104,zip_derived_cl11]) ).
thf(zip_derived_cl1536_6522,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_6523,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8332,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n14 @ n14 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8317]) ).
thf(zip_derived_cl543_6524,plain,
( ( sum @ n14 @ n15 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6525,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_6526,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_6527,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555_6528,plain,
( ( sum @ n14 @ n27 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl972_6529,plain,
( ( sum @ n28 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18558,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n14 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8332,zip_derived_cl543,zip_derived_cl92,zip_derived_cl542,zip_derived_cl91,zip_derived_cl555,zip_derived_cl972]) ).
thf(zip_derived_cl23_6530,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('837',plain,
( ( sk_ != n14 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18558,zip_derived_cl23]) ).
thf(zip_derived_cl1536_6531,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_6532,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8267,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n14 @ n13 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl8252]) ).
thf(zip_derived_cl542_6533,plain,
( ( sum @ n14 @ n14 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_6534,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl541_6535,plain,
( ( sum @ n14 @ n13 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_6536,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523_6537,plain,
( ( sum @ n13 @ n26 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl939_6538,plain,
( ( sum @ n27 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18422,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n14 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8267,zip_derived_cl542,zip_derived_cl91,zip_derived_cl541,zip_derived_cl90,zip_derived_cl523,zip_derived_cl939]) ).
thf(zip_derived_cl26_6539,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('838',plain,
( ( sk_ != n14 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18422,zip_derived_cl26]) ).
thf(zip_derived_cl1536_6540,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_6541,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4102,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n14 @ n8 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl4087]) ).
thf(zip_derived_cl537_6542,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_6543,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_6544,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_6545,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_6546,plain,
( ( sum @ n8 @ n21 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14641,plain,
( ( sk__2
= ( sum @ n22 @ n29 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4102,zip_derived_cl537,zip_derived_cl86,zip_derived_cl536,zip_derived_cl85,zip_derived_cl363]) ).
thf(zip_derived_cl805_6547,plain,
( ( sum @ n22 @ n29 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15065,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n14 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14641,zip_derived_cl805]) ).
thf(zip_derived_cl10_6548,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('839',plain,
( ( sk_ != n14 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15065,zip_derived_cl10]) ).
thf(zip_derived_cl1536_6549,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_6550,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3681,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n14 @ n7 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1536,zip_derived_cl3666]) ).
thf(zip_derived_cl536_6551,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_6552,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535_6553,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_6554,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_6555,plain,
( ( sum @ n7 @ n20 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14312,plain,
( ( sk__2
= ( sum @ n21 @ n27 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3681,zip_derived_cl536,zip_derived_cl85,zip_derived_cl535,zip_derived_cl84,zip_derived_cl331]) ).
thf(zip_derived_cl772_6556,plain,
( ( sum @ n21 @ n27 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14876,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14312,zip_derived_cl772]) ).
thf(zip_derived_cl13_6557,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('840',plain,
( ( sk_ != n14 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14876,zip_derived_cl13]) ).
thf(zip_derived_cl1550_6558,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6559,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8702,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n28 @ n19 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl8673]) ).
thf(zip_derived_cl982_6560,plain,
( ( sum @ n28 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6561,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl981_6562,plain,
( ( sum @ n28 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6563,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698_6564,plain,
( ( sum @ n19 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl593_6565,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19270,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n28 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8702,zip_derived_cl982,zip_derived_cl80,zip_derived_cl981,zip_derived_cl79,zip_derived_cl698,zip_derived_cl593]) ).
thf(zip_derived_cl11_6566,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('841',plain,
( ( sk__1 != n19 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19270,zip_derived_cl11]) ).
thf(zip_derived_cl1549_6567,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6568,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8701,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n27 @ n19 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl8673]) ).
thf(zip_derived_cl951_6569,plain,
( ( sum @ n27 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6570,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl950_6571,plain,
( ( sum @ n27 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6572,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697_6573,plain,
( ( sum @ n19 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561_6574,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19268,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n27 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8701,zip_derived_cl951,zip_derived_cl79,zip_derived_cl950,zip_derived_cl78,zip_derived_cl697,zip_derived_cl561]) ).
thf(zip_derived_cl13_6575,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('842',plain,
( ( sk__1 != n19 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19268,zip_derived_cl13]) ).
thf(zip_derived_cl1548_6576,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6577,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8700,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n26 @ n19 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8673]) ).
thf(zip_derived_cl920_6578,plain,
( ( sum @ n26 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6579,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl919_6580,plain,
( ( sum @ n26 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6581,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_6582,plain,
( ( sum @ n19 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529_6583,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19266,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n26 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8700,zip_derived_cl920,zip_derived_cl78,zip_derived_cl919,zip_derived_cl77,zip_derived_cl696,zip_derived_cl529]) ).
thf(zip_derived_cl15_6584,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('843',plain,
( ( sk__1 != n19 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19266,zip_derived_cl15]) ).
thf(zip_derived_cl1547_6585,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6586,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8699,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n25 @ n19 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8673]) ).
thf(zip_derived_cl889_6587,plain,
( ( sum @ n25 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6588,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl888_6589,plain,
( ( sum @ n25 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6590,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl695_6591,plain,
( ( sum @ n19 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_6592,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19264,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n25 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8699,zip_derived_cl889,zip_derived_cl77,zip_derived_cl888,zip_derived_cl76,zip_derived_cl695,zip_derived_cl497]) ).
thf(zip_derived_cl17_6593,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('844',plain,
( ( sk__1 != n19 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19264,zip_derived_cl17]) ).
thf(zip_derived_cl1546_6594,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6595,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8698,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n24 @ n19 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8673]) ).
thf(zip_derived_cl858_6596,plain,
( ( sum @ n24 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6597,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl857_6598,plain,
( ( sum @ n24 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6599,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl694_6600,plain,
( ( sum @ n19 @ n11 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_6601,plain,
( ( sum @ n12 @ n30 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19262,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n24 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8698,zip_derived_cl858,zip_derived_cl76,zip_derived_cl857,zip_derived_cl75,zip_derived_cl694,zip_derived_cl496]) ).
thf(zip_derived_cl19_6602,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('845',plain,
( ( sk__1 != n19 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19262,zip_derived_cl19]) ).
thf(zip_derived_cl1545_6603,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6604,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8697,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n23 @ n19 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8673]) ).
thf(zip_derived_cl827_6605,plain,
( ( sum @ n23 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6606,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl826_6607,plain,
( ( sum @ n23 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6608,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl693_6609,plain,
( ( sum @ n19 @ n10 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_6610,plain,
( ( sum @ n11 @ n29 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19260,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n23 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8697,zip_derived_cl827,zip_derived_cl75,zip_derived_cl826,zip_derived_cl74,zip_derived_cl693,zip_derived_cl464]) ).
thf(zip_derived_cl21_6611,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('846',plain,
( ( sk__1 != n19 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19260,zip_derived_cl21]) ).
thf(zip_derived_cl1544_6612,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6613,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8696,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n22 @ n19 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8673]) ).
thf(zip_derived_cl796_6614,plain,
( ( sum @ n22 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6615,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl795_6616,plain,
( ( sum @ n22 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_6617,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl692_6618,plain,
( ( sum @ n19 @ n9 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_6619,plain,
( ( sum @ n10 @ n28 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19258,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n22 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8696,zip_derived_cl796,zip_derived_cl74,zip_derived_cl795,zip_derived_cl73,zip_derived_cl692,zip_derived_cl432]) ).
thf(zip_derived_cl23_6620,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('847',plain,
( ( sk__1 != n19 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19258,zip_derived_cl23]) ).
thf(zip_derived_cl1543_6621,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6622,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8695,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n21 @ n19 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8673]) ).
thf(zip_derived_cl765_6623,plain,
( ( sum @ n21 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_6624,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl764_6625,plain,
( ( sum @ n21 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_6626,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl691_6627,plain,
( ( sum @ n19 @ n8 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_6628,plain,
( ( sum @ n9 @ n27 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19256,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n21 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8695,zip_derived_cl765,zip_derived_cl73,zip_derived_cl764,zip_derived_cl72,zip_derived_cl691,zip_derived_cl400]) ).
thf(zip_derived_cl25_6629,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('848',plain,
( ( sk__1 != n19 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19256,zip_derived_cl25]) ).
thf(zip_derived_cl1540_6630,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6631,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8692,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n18 @ n19 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8673]) ).
thf(zip_derived_cl672_6632,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_6633,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl671_6634,plain,
( ( sum @ n18 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_6635,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl688_6636,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_6637,plain,
( ( sum @ n6 @ n24 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19248,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n18 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8692,zip_derived_cl672,zip_derived_cl70,zip_derived_cl671,zip_derived_cl69,zip_derived_cl688,zip_derived_cl304]) ).
thf(zip_derived_cl0_6638,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('849',plain,
( ( sk_ != n18 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19248,zip_derived_cl0]) ).
thf(zip_derived_cl1538_6639,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6640,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8690,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n16 @ n19 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8673]) ).
thf(zip_derived_cl610_6641,plain,
( ( sum @ n16 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6642,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl609_6643,plain,
( ( sum @ n16 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6644,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl686_6645,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_6646,plain,
( ( sum @ n4 @ n22 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19244,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n16 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8690,zip_derived_cl610,zip_derived_cl68,zip_derived_cl609,zip_derived_cl67,zip_derived_cl686,zip_derived_cl240]) ).
thf(zip_derived_cl4_6647,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('850',plain,
( ( sk__1 != n19 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19244,zip_derived_cl4]) ).
thf(zip_derived_cl1533_6648,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8673_6649,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl2374,zip_derived_cl51]) ).
thf(zip_derived_cl8685,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ n11 @ n19 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8673]) ).
thf(zip_derived_cl455_6650,plain,
( ( sum @ n11 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_6651,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_6652,plain,
( ( sum @ n11 @ n19 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6653,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl712_6654,plain,
( ( sum @ n19 @ n29 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1041_6655,plain,
( ( sum @ n30 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19234,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n11 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8685,zip_derived_cl455,zip_derived_cl63,zip_derived_cl454,zip_derived_cl93,zip_derived_cl712,zip_derived_cl1041]) ).
thf(zip_derived_cl14_6656,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('851',plain,
( ( sk_ != n11 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19234,zip_derived_cl14]) ).
thf(zip_derived_cl1544_6657,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_6658,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9385,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n22 @ n29 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl9362]) ).
thf(zip_derived_cl806_6659,plain,
( ( sum @ n22 @ n30 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_6660,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl805_6661,plain,
( ( sum @ n22 @ n29 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_6662,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1012_6663,plain,
( ( sum @ n29 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_6664,plain,
( ( sum @ n20 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20622,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n22 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9385,zip_derived_cl806,zip_derived_cl84,zip_derived_cl805,zip_derived_cl83,zip_derived_cl1012,zip_derived_cl731]) ).
thf(zip_derived_cl24_6665,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('852',plain,
( ( sk_ != n22 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20622,zip_derived_cl24]) ).
thf(zip_derived_cl1544_6666,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_6667,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9165,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n22 @ n26 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl9142]) ).
thf(zip_derived_cl803_6668,plain,
( ( sum @ n22 @ n27 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6669,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl802_6670,plain,
( ( sum @ n22 @ n26 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6671,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl916_6672,plain,
( ( sum @ n26 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_6673,plain,
( ( sum @ n17 @ n11 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20212,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n22 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9165,zip_derived_cl803,zip_derived_cl81,zip_derived_cl802,zip_derived_cl80,zip_derived_cl916,zip_derived_cl632]) ).
thf(zip_derived_cl2_6674,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('853',plain,
( ( sk_ != n22 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20212,zip_derived_cl2]) ).
thf(zip_derived_cl1544_6675,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_6676,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9100,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n22 @ n25 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl9077]) ).
thf(zip_derived_cl802_6677,plain,
( ( sum @ n22 @ n26 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6678,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl801_6679,plain,
( ( sum @ n22 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6680,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl884_6681,plain,
( ( sum @ n25 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599_6682,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20076,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n22 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9100,zip_derived_cl802,zip_derived_cl80,zip_derived_cl801,zip_derived_cl79,zip_derived_cl884,zip_derived_cl599]) ).
thf(zip_derived_cl5_6683,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('854',plain,
( ( sk_ != n22 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20076,zip_derived_cl5]) ).
thf(zip_derived_cl1544_6684,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6685,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8837,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n22 @ n21 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8814]) ).
thf(zip_derived_cl798_6686,plain,
( ( sum @ n22 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6687,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl797_6688,plain,
( ( sum @ n22 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6689,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl756_6690,plain,
( ( sum @ n21 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_6691,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19530,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n22 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8837,zip_derived_cl798,zip_derived_cl76,zip_derived_cl797,zip_derived_cl75,zip_derived_cl756,zip_derived_cl467]) ).
thf(zip_derived_cl17_6692,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('855',plain,
( ( sk_ != n22 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19530,zip_derived_cl17]) ).
thf(zip_derived_cl1544_6693,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6694,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8761,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n22 @ n20 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8738]) ).
thf(zip_derived_cl797_6695,plain,
( ( sum @ n22 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6696,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl796_6697,plain,
( ( sum @ n22 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6698,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_6699,plain,
( ( sum @ n20 @ n10 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_6700,plain,
( ( sum @ n11 @ n30 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19394,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n22 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8761,zip_derived_cl797,zip_derived_cl75,zip_derived_cl796,zip_derived_cl74,zip_derived_cl724,zip_derived_cl465]) ).
thf(zip_derived_cl20_6701,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('856',plain,
( ( sk_ != n22 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19394,zip_derived_cl20]) ).
thf(zip_derived_cl1544_6702,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_6703,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8621,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n22 @ n18 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8598]) ).
thf(zip_derived_cl795_6704,plain,
( ( sum @ n22 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_6705,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl794_6706,plain,
( ( sum @ n22 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_6707,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660_6708,plain,
( ( sum @ n18 @ n8 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_6709,plain,
( ( sum @ n9 @ n26 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19122,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n22 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8621,zip_derived_cl795,zip_derived_cl73,zip_derived_cl794,zip_derived_cl72,zip_derived_cl660,zip_derived_cl399]) ).
thf(zip_derived_cl26_6710,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('857',plain,
( ( sk_ != n22 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19122,zip_derived_cl26]) ).
thf(zip_derived_cl1544_6711,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_6712,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8340,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n22 @ n14 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl8317]) ).
thf(zip_derived_cl791_6713,plain,
( ( sum @ n22 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_6714,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl790_6715,plain,
( ( sum @ n22 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6716,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532_6717,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_6718,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18576,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n22 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8340,zip_derived_cl791,zip_derived_cl69,zip_derived_cl790,zip_derived_cl68,zip_derived_cl532,zip_derived_cl267]) ).
thf(zip_derived_cl7_6719,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('858',plain,
( ( sk_ != n22 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18576,zip_derived_cl7]) ).
thf(zip_derived_cl1566_6720,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2172_6721,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n22 @ sk__1 ) ) ) ) )
<= ( sk_ = n22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl31]) ).
thf(zip_derived_cl6832,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n22 @ n13 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2172]) ).
thf(zip_derived_cl45_6722,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6925,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n22 @ n13 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6832,zip_derived_cl45]) ).
thf(zip_derived_cl790_6723,plain,
( ( sum @ n22 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6724,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl789_6725,plain,
( ( sum @ n22 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6726,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500_6727,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_6728,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17372,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n22 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6925,zip_derived_cl790,zip_derived_cl68,zip_derived_cl789,zip_derived_cl67,zip_derived_cl500,zip_derived_cl234]) ).
thf(zip_derived_cl10_6729,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('859',plain,
( ( sk_ != n22 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17372,zip_derived_cl10]) ).
thf(zip_derived_cl785_6730,plain,
( ( sum @ n22 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_6731,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_6732,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4110,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n22 @ n8 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl4087]) ).
thf(zip_derived_cl14958,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n8 @ ( pred @ ( sum @ n22 @ n8 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl785,zip_derived_cl4110]) ).
thf(zip_derived_cl63_6733,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl784_6734,plain,
( ( sum @ n22 @ n8 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6735,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_6736,plain,
( ( sum @ n8 @ n29 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14959,plain,
( ( sk__2
= ( sum @ n30 @ n6 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14958,zip_derived_cl63,zip_derived_cl784,zip_derived_cl93,zip_derived_cl371]) ).
thf(zip_derived_cl1030_6737,plain,
( ( sum @ n30 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16629,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n22 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14959,zip_derived_cl1030]) ).
thf(zip_derived_cl25_6738,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('860',plain,
( ( sk_ != n22 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16629,zip_derived_cl25]) ).
thf(zip_derived_cl784_6739,plain,
( ( sum @ n22 @ n8 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1544_6740,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_6741,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3689,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n22 @ n7 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl3666]) ).
thf(zip_derived_cl14954,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n7 @ ( pred @ ( sum @ n22 @ n7 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl784,zip_derived_cl3689]) ).
thf(zip_derived_cl93_6742,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl783_6743,plain,
( ( sum @ n22 @ n7 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6744,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339_6745,plain,
( ( sum @ n7 @ n28 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14956,plain,
( ( sk__2
= ( sum @ n29 @ n4 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14954,zip_derived_cl93,zip_derived_cl783,zip_derived_cl92,zip_derived_cl339]) ).
thf(zip_derived_cl997_6746,plain,
( ( sum @ n29 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16361,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n22 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14956,zip_derived_cl997]) ).
thf(zip_derived_cl28_6747,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('861',plain,
( ( sk_ != n22 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16361,zip_derived_cl28]) ).
thf(zip_derived_cl1550_6748,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6749,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8767,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n28 @ n20 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl8738]) ).
thf(zip_derived_cl983_6750,plain,
( ( sum @ n28 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6751,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl982_6752,plain,
( ( sum @ n28 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6753,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_6754,plain,
( ( sum @ n20 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_6755,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19408,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n28 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8767,zip_derived_cl983,zip_derived_cl81,zip_derived_cl982,zip_derived_cl80,zip_derived_cl730,zip_derived_cl626]) ).
thf(zip_derived_cl8_6756,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('862',plain,
( ( sk__1 != n20 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19408,zip_derived_cl8]) ).
thf(zip_derived_cl1549_6757,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6758,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8766,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n27 @ n20 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl8738]) ).
thf(zip_derived_cl952_6759,plain,
( ( sum @ n27 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6760,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl951_6761,plain,
( ( sum @ n27 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6762,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_6763,plain,
( ( sum @ n20 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_6764,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19404,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n27 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8766,zip_derived_cl952,zip_derived_cl80,zip_derived_cl951,zip_derived_cl79,zip_derived_cl729,zip_derived_cl594]) ).
thf(zip_derived_cl10_6765,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('863',plain,
( ( sk__1 != n20 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19404,zip_derived_cl10]) ).
thf(zip_derived_cl1548_6766,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6767,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8765,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n26 @ n20 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8738]) ).
thf(zip_derived_cl921_6768,plain,
( ( sum @ n26 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6769,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl920_6770,plain,
( ( sum @ n26 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6771,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_6772,plain,
( ( sum @ n20 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562_6773,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19402,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n26 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8765,zip_derived_cl921,zip_derived_cl79,zip_derived_cl920,zip_derived_cl78,zip_derived_cl728,zip_derived_cl562]) ).
thf(zip_derived_cl12_6774,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('864',plain,
( ( sk__1 != n20 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19402,zip_derived_cl12]) ).
thf(zip_derived_cl1547_6775,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6776,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8764,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n25 @ n20 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8738]) ).
thf(zip_derived_cl890_6777,plain,
( ( sum @ n25 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6778,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl889_6779,plain,
( ( sum @ n25 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6780,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_6781,plain,
( ( sum @ n20 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_6782,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19400,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n25 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8764,zip_derived_cl890,zip_derived_cl78,zip_derived_cl889,zip_derived_cl77,zip_derived_cl727,zip_derived_cl530]) ).
thf(zip_derived_cl14_6783,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('865',plain,
( ( sk__1 != n20 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19400,zip_derived_cl14]) ).
thf(zip_derived_cl1546_6784,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6785,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8763,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n24 @ n20 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8738]) ).
thf(zip_derived_cl859_6786,plain,
( ( sum @ n24 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6787,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl858_6788,plain,
( ( sum @ n24 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6789,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_6790,plain,
( ( sum @ n20 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_6791,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19398,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n24 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8763,zip_derived_cl859,zip_derived_cl77,zip_derived_cl858,zip_derived_cl76,zip_derived_cl726,zip_derived_cl498]) ).
thf(zip_derived_cl16_6792,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('866',plain,
( ( sk__1 != n20 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19398,zip_derived_cl16]) ).
thf(zip_derived_cl1545_6793,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6794,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8762,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n23 @ n20 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8738]) ).
thf(zip_derived_cl828_6795,plain,
( ( sum @ n23 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6796,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl827_6797,plain,
( ( sum @ n23 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6798,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_6799,plain,
( ( sum @ n20 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_6800,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19396,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n23 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8762,zip_derived_cl828,zip_derived_cl76,zip_derived_cl827,zip_derived_cl75,zip_derived_cl725,zip_derived_cl466]) ).
thf(zip_derived_cl18_6801,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('867',plain,
( ( sk__1 != n20 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19396,zip_derived_cl18]) ).
thf(zip_derived_cl1543_6802,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6803,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8760,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n21 @ n20 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8738]) ).
thf(zip_derived_cl766_6804,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6805,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl765_6806,plain,
( ( sum @ n21 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_6807,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_6808,plain,
( ( sum @ n20 @ n9 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_6809,plain,
( ( sum @ n10 @ n29 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19392,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n21 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8760,zip_derived_cl766,zip_derived_cl74,zip_derived_cl765,zip_derived_cl73,zip_derived_cl723,zip_derived_cl433]) ).
thf(zip_derived_cl22_6810,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('868',plain,
( ( sk__1 != n20 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19392,zip_derived_cl22]) ).
thf(zip_derived_cl1540_6811,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6812,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8757,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n18 @ n20 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8738]) ).
thf(zip_derived_cl673_6813,plain,
( ( sum @ n18 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_6814,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_6815,plain,
( ( sum @ n18 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_6816,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_6817,plain,
( ( sum @ n20 @ n6 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_6818,plain,
( ( sum @ n7 @ n26 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19386,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n18 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8757,zip_derived_cl673,zip_derived_cl71,zip_derived_cl672,zip_derived_cl70,zip_derived_cl720,zip_derived_cl337]) ).
thf(zip_derived_cl28_6819,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('869',plain,
( ( sk_ != n18 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19386,zip_derived_cl28]) ).
thf(zip_derived_cl1538_6820,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6821,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8755,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n16 @ n20 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8738]) ).
thf(zip_derived_cl611_6822,plain,
( ( sum @ n16 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_6823,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_6824,plain,
( ( sum @ n16 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_6825,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_6826,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_6827,plain,
( ( sum @ n5 @ n24 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19380,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n16 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8755,zip_derived_cl611,zip_derived_cl69,zip_derived_cl610,zip_derived_cl68,zip_derived_cl718,zip_derived_cl273]) ).
thf(zip_derived_cl1_6828,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('870',plain,
( ( sk__1 != n20 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19380,zip_derived_cl1]) ).
thf(zip_derived_cl1533_6829,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8738_6830,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2402,zip_derived_cl52]) ).
thf(zip_derived_cl8750,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ n11 @ n20 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8738]) ).
thf(zip_derived_cl456_6831,plain,
( ( sum @ n11 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_6832,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455_6833,plain,
( ( sum @ n11 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_6834,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744_6835,plain,
( ( sum @ n20 @ n30 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_6836,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19370,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n11 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8750,zip_derived_cl456,zip_derived_cl64,zip_derived_cl455,zip_derived_cl63,zip_derived_cl744,zip_derived_cl113]) ).
thf(zip_derived_cl11_6837,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('871',plain,
( ( sk_ != n11 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19370,zip_derived_cl11]) ).
thf(zip_derived_cl1538_6838,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_6839,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9379,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n16 @ n29 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl9362]) ).
thf(zip_derived_cl620_6840,plain,
( ( sum @ n16 @ n30 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6841,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619_6842,plain,
( ( sum @ n16 @ n29 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6843,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1006_6844,plain,
( ( sum @ n29 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl539_6845,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20608,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n16 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9379,zip_derived_cl620,zip_derived_cl78,zip_derived_cl619,zip_derived_cl77,zip_derived_cl1006,zip_derived_cl539]) ).
thf(zip_derived_cl5_6846,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('872',plain,
( ( sk_ != n16 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20608,zip_derived_cl5]) ).
thf(zip_derived_cl1538_6847,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_6848,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9159,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n16 @ n26 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl9142]) ).
thf(zip_derived_cl617_6849,plain,
( ( sum @ n16 @ n27 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6850,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616_6851,plain,
( ( sum @ n16 @ n26 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6852,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl910_6853,plain,
( ( sum @ n26 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_6854,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20200,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n16 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9159,zip_derived_cl617,zip_derived_cl75,zip_derived_cl616,zip_derived_cl74,zip_derived_cl910,zip_derived_cl440]) ).
thf(zip_derived_cl14_6855,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('873',plain,
( ( sk_ != n16 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20200,zip_derived_cl14]) ).
thf(zip_derived_cl1538_6856,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_6857,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9094,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n16 @ n25 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl9077]) ).
thf(zip_derived_cl616_6858,plain,
( ( sum @ n16 @ n26 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6859,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615_6860,plain,
( ( sum @ n16 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_6861,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl878_6862,plain,
( ( sum @ n25 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_6863,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20062,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n16 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9094,zip_derived_cl616,zip_derived_cl74,zip_derived_cl615,zip_derived_cl73,zip_derived_cl878,zip_derived_cl407]) ).
thf(zip_derived_cl17_6864,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('874',plain,
( ( sk_ != n16 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20062,zip_derived_cl17]) ).
thf(zip_derived_cl1538_6865,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6866,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8831,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n16 @ n21 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8814]) ).
thf(zip_derived_cl612_6867,plain,
( ( sum @ n16 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_6868,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611_6869,plain,
( ( sum @ n16 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_6870,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl750_6871,plain,
( ( sum @ n21 @ n5 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306_6872,plain,
( ( sum @ n6 @ n26 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19518,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n16 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8831,zip_derived_cl612,zip_derived_cl70,zip_derived_cl611,zip_derived_cl69,zip_derived_cl750,zip_derived_cl306]) ).
thf(zip_derived_cl29_6873,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('875',plain,
( ( sk_ != n16 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19518,zip_derived_cl29]) ).
thf(zip_derived_cl1538_6874,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_6875,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8615,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n16 @ n18 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8598]) ).
thf(zip_derived_cl609_6876,plain,
( ( sum @ n16 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_6877,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_6878,plain,
( ( sum @ n16 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_6879,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654_6880,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_6881,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19108,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n16 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8615,zip_derived_cl609,zip_derived_cl67,zip_derived_cl608,zip_derived_cl66,zip_derived_cl654,zip_derived_cl207]) ).
thf(zip_derived_cl7_6882,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('876',plain,
( ( sk_ != n16 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19108,zip_derived_cl7]) ).
thf(zip_derived_cl1538_6883,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_6884,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8334,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n16 @ n14 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8317]) ).
thf(zip_derived_cl605_6885,plain,
( ( sum @ n16 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_6886,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604_6887,plain,
( ( sum @ n16 @ n14 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6888,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557_6889,plain,
( ( sum @ n14 @ n29 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1036_6890,plain,
( ( sum @ n30 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18562,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n16 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8334,zip_derived_cl605,zip_derived_cl63,zip_derived_cl604,zip_derived_cl93,zip_derived_cl557,zip_derived_cl1036]) ).
thf(zip_derived_cl19_6891,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('877',plain,
( ( sk_ != n16 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18562,zip_derived_cl19]) ).
thf(zip_derived_cl1538_6892,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_6893,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8269,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n16 @ n13 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl8252]) ).
thf(zip_derived_cl604_6894,plain,
( ( sum @ n16 @ n14 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_6895,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603_6896,plain,
( ( sum @ n16 @ n13 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_6897,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525_6898,plain,
( ( sum @ n13 @ n28 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1003_6899,plain,
( ( sum @ n29 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18426,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n16 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8269,zip_derived_cl604,zip_derived_cl93,zip_derived_cl603,zip_derived_cl92,zip_derived_cl525,zip_derived_cl1003]) ).
thf(zip_derived_cl22_6900,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('878',plain,
( ( sk_ != n16 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18426,zip_derived_cl22]) ).
thf(zip_derived_cl1538_6901,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_6902,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4104,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n16 @ n8 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl4087]) ).
thf(zip_derived_cl599_6903,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_6904,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_6905,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_6906,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_6907,plain,
( ( sum @ n8 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14643,plain,
( ( sk__2
= ( sum @ n24 @ n0 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4104,zip_derived_cl599,zip_derived_cl88,zip_derived_cl598,zip_derived_cl87,zip_derived_cl365]) ).
thf(zip_derived_cl838_6908,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15248,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n16 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14643,zip_derived_cl838]) ).
thf(zip_derived_cl6_6909,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('879',plain,
( ( sk_ != n16 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15248,zip_derived_cl6]) ).
thf(zip_derived_cl1538_6910,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_6911,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3683,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n16 @ n7 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1538,zip_derived_cl3666]) ).
thf(zip_derived_cl598_6912,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_6913,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597_6914,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_6915,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_6916,plain,
( ( sum @ n7 @ n22 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14314,plain,
( ( sk__2
= ( sum @ n23 @ n29 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3683,zip_derived_cl598,zip_derived_cl87,zip_derived_cl597,zip_derived_cl86,zip_derived_cl333]) ).
thf(zip_derived_cl836_6917,plain,
( ( sum @ n23 @ n29 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15229,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n16 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14314,zip_derived_cl836]) ).
thf(zip_derived_cl9_6918,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('880',plain,
( ( sk_ != n16 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15229,zip_derived_cl9]) ).
thf(zip_derived_cl1550_6919,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6920,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8843,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n28 @ n21 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl8814]) ).
thf(zip_derived_cl984_6921,plain,
( ( sum @ n28 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_6922,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl983_6923,plain,
( ( sum @ n28 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6924,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl762_6925,plain,
( ( sum @ n21 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659_6926,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19544,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n28 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8843,zip_derived_cl984,zip_derived_cl82,zip_derived_cl983,zip_derived_cl81,zip_derived_cl762,zip_derived_cl659]) ).
thf(zip_derived_cl5_6927,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('881',plain,
( ( sk__1 != n21 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19544,zip_derived_cl5]) ).
thf(zip_derived_cl1549_6928,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6929,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8842,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n27 @ n21 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl8814]) ).
thf(zip_derived_cl953_6930,plain,
( ( sum @ n27 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_6931,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl952_6932,plain,
( ( sum @ n27 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6933,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl761_6934,plain,
( ( sum @ n21 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl627_6935,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19542,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n27 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8842,zip_derived_cl953,zip_derived_cl81,zip_derived_cl952,zip_derived_cl80,zip_derived_cl761,zip_derived_cl627]) ).
thf(zip_derived_cl7_6936,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('882',plain,
( ( sk__1 != n21 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19542,zip_derived_cl7]) ).
thf(zip_derived_cl1548_6937,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6938,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8841,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n26 @ n21 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8814]) ).
thf(zip_derived_cl922_6939,plain,
( ( sum @ n26 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_6940,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl921_6941,plain,
( ( sum @ n26 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6942,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl760_6943,plain,
( ( sum @ n21 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl595_6944,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19540,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n26 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8841,zip_derived_cl922,zip_derived_cl80,zip_derived_cl921,zip_derived_cl79,zip_derived_cl760,zip_derived_cl595]) ).
thf(zip_derived_cl9_6945,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('883',plain,
( ( sk__1 != n21 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19540,zip_derived_cl9]) ).
thf(zip_derived_cl1547_6946,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6947,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8840,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n25 @ n21 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8814]) ).
thf(zip_derived_cl891_6948,plain,
( ( sum @ n25 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_6949,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl890_6950,plain,
( ( sum @ n25 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6951,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl759,plain,
( ( sum @ n21 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563_6952,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19536,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n25 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8840,zip_derived_cl891,zip_derived_cl79,zip_derived_cl890,zip_derived_cl78,zip_derived_cl759,zip_derived_cl563]) ).
thf(zip_derived_cl11_6953,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('884',plain,
( ( sk__1 != n21 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19536,zip_derived_cl11]) ).
thf(zip_derived_cl1546_6954,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6955,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8839,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n24 @ n21 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8814]) ).
thf(zip_derived_cl860_6956,plain,
( ( sum @ n24 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_6957,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl859_6958,plain,
( ( sum @ n24 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6959,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl758_6960,plain,
( ( sum @ n21 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531_6961,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19534,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n24 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8839,zip_derived_cl860,zip_derived_cl78,zip_derived_cl859,zip_derived_cl77,zip_derived_cl758,zip_derived_cl531]) ).
thf(zip_derived_cl13_6962,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('885',plain,
( ( sk__1 != n21 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19534,zip_derived_cl13]) ).
thf(zip_derived_cl1545_6963,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6964,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8838,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n23 @ n21 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8814]) ).
thf(zip_derived_cl829_6965,plain,
( ( sum @ n23 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_6966,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl828_6967,plain,
( ( sum @ n23 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_6968,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl757_6969,plain,
( ( sum @ n21 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_6970,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19532,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n23 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8838,zip_derived_cl829,zip_derived_cl77,zip_derived_cl828,zip_derived_cl76,zip_derived_cl757,zip_derived_cl499]) ).
thf(zip_derived_cl15_6971,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('886',plain,
( ( sk__1 != n21 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19532,zip_derived_cl15]) ).
thf(zip_derived_cl1543_6972,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6973,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8836,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n21 @ n21 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8814]) ).
thf(zip_derived_cl767_6974,plain,
( ( sum @ n21 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_6975,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl766_6976,plain,
( ( sum @ n21 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_6977,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl755_6978,plain,
( ( sum @ n21 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_6979,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19528,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n21 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8836,zip_derived_cl767,zip_derived_cl75,zip_derived_cl766,zip_derived_cl74,zip_derived_cl755,zip_derived_cl435]) ).
thf(zip_derived_cl19_6980,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('887',plain,
( ( sk__1 != n21 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19528,zip_derived_cl19]) ).
thf(zip_derived_cl1540_6981,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6982,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8833,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n18 @ n21 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8814]) ).
thf(zip_derived_cl674_6983,plain,
( ( sum @ n18 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_6984,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl673_6985,plain,
( ( sum @ n18 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_6986,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl752_6987,plain,
( ( sum @ n21 @ n7 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_6988,plain,
( ( sum @ n8 @ n28 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19522,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n18 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8833,zip_derived_cl674,zip_derived_cl72,zip_derived_cl673,zip_derived_cl71,zip_derived_cl752,zip_derived_cl370]) ).
thf(zip_derived_cl25_6989,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('888',plain,
( ( sk_ != n18 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19522,zip_derived_cl25]) ).
thf(zip_derived_cl1533_6990,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8814_6991,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2425,zip_derived_cl53]) ).
thf(zip_derived_cl8826,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ n11 @ n21 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8814]) ).
thf(zip_derived_cl457_6992,plain,
( ( sum @ n11 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_6993,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456_6994,plain,
( ( sum @ n11 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_6995,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745_6996,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_6997,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19506,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n11 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8826,zip_derived_cl457,zip_derived_cl65,zip_derived_cl456,zip_derived_cl64,zip_derived_cl745,zip_derived_cl146]) ).
thf(zip_derived_cl8_6998,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('889',plain,
( ( sk_ != n11 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19506,zip_derived_cl8]) ).
thf(zip_derived_cl1543_6999,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7000,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9384,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n21 @ n29 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl9362]) ).
thf(zip_derived_cl775_7001,plain,
( ( sum @ n21 @ n30 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_7002,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl774_7003,plain,
( ( sum @ n21 @ n29 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_7004,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1011_7005,plain,
( ( sum @ n29 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl699_7006,plain,
( ( sum @ n19 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20620,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n21 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9384,zip_derived_cl775,zip_derived_cl83,zip_derived_cl774,zip_derived_cl82,zip_derived_cl1011,zip_derived_cl699]) ).
thf(zip_derived_cl26_7007,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('890',plain,
( ( sk_ != n21 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20620,zip_derived_cl26]) ).
thf(zip_derived_cl1543_7008,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_7009,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9164,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n21 @ n26 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl9142]) ).
thf(zip_derived_cl772_7010,plain,
( ( sum @ n21 @ n27 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_7011,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl771_7012,plain,
( ( sum @ n21 @ n26 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_7013,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl915_7014,plain,
( ( sum @ n26 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600_7015,plain,
( ( sum @ n16 @ n10 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20210,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n21 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9164,zip_derived_cl772,zip_derived_cl80,zip_derived_cl771,zip_derived_cl79,zip_derived_cl915,zip_derived_cl600]) ).
thf(zip_derived_cl4_7016,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('891',plain,
( ( sk_ != n21 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20210,zip_derived_cl4]) ).
thf(zip_derived_cl1543_7017,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9099,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n21 @ n25 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl9077]) ).
thf(zip_derived_cl771_7019,plain,
( ( sum @ n21 @ n26 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_7020,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl770_7021,plain,
( ( sum @ n21 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_7022,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl883_7023,plain,
( ( sum @ n25 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_7024,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20074,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n21 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9099,zip_derived_cl771,zip_derived_cl79,zip_derived_cl770,zip_derived_cl78,zip_derived_cl883,zip_derived_cl567]) ).
thf(zip_derived_cl7_7025,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('892',plain,
( ( sk_ != n21 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20074,zip_derived_cl7]) ).
thf(zip_derived_cl1543_7026,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7027,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8620,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n21 @ n18 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8598]) ).
thf(zip_derived_cl764_7028,plain,
( ( sum @ n21 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_7029,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl763_7030,plain,
( ( sum @ n21 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_7031,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659_7032,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_7033,plain,
( ( sum @ n8 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19118,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n21 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8620,zip_derived_cl764,zip_derived_cl72,zip_derived_cl763,zip_derived_cl71,zip_derived_cl659,zip_derived_cl367]) ).
thf(zip_derived_cl28_7034,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('893',plain,
( ( sk_ != n21 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19118,zip_derived_cl28]) ).
thf(zip_derived_cl1543_7035,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_7036,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8339,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n21 @ n14 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl8317]) ).
thf(zip_derived_cl760_7037,plain,
( ( sum @ n21 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_7038,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl759_7039,plain,
( ( sum @ n21 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_7040,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531_7041,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_7042,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18574,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n21 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8339,zip_derived_cl760,zip_derived_cl68,zip_derived_cl759,zip_derived_cl67,zip_derived_cl531,zip_derived_cl235]) ).
thf(zip_derived_cl9_7043,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('894',plain,
( ( sk_ != n21 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18574,zip_derived_cl9]) ).
thf(zip_derived_cl1566_7044,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2171_7045,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n21 @ sk__1 ) ) ) ) )
<= ( sk_ = n21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl31]) ).
thf(zip_derived_cl6697,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n21 @ n13 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2171]) ).
thf(zip_derived_cl45_7046,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6790,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n21 @ n13 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6697,zip_derived_cl45]) ).
thf(zip_derived_cl759_7047,plain,
( ( sum @ n21 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_7048,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl758_7049,plain,
( ( sum @ n21 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_7050,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_7051,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_7052,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17280,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n21 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6790,zip_derived_cl759,zip_derived_cl67,zip_derived_cl758,zip_derived_cl66,zip_derived_cl499,zip_derived_cl202]) ).
thf(zip_derived_cl12_7053,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('895',plain,
( ( sk_ != n21 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17280,zip_derived_cl12]) ).
thf(zip_derived_cl754_7054,plain,
( ( sum @ n21 @ n9 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_7055,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7056,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4109,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n21 @ n8 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl4087]) ).
thf(zip_derived_cl14769,plain,
( ( sk__2
= ( sum @ ( pred @ n30 ) @ ( sum @ n8 @ ( pred @ ( sum @ n21 @ n8 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl754,zip_derived_cl4109]) ).
thf(zip_derived_cl93_7057,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl753_7058,plain,
( ( sum @ n21 @ n8 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_7059,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_7060,plain,
( ( sum @ n8 @ n28 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14770,plain,
( ( sk__2
= ( sum @ n29 @ n5 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14769,zip_derived_cl93,zip_derived_cl753,zip_derived_cl92,zip_derived_cl370]) ).
thf(zip_derived_cl998_7061,plain,
( ( sum @ n29 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16374,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n21 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14770,zip_derived_cl998]) ).
thf(zip_derived_cl27_7062,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('896',plain,
( ( sk_ != n21 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16374,zip_derived_cl27]) ).
thf(zip_derived_cl753_7063,plain,
( ( sum @ n21 @ n8 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1543_7064,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7065,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3688,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n21 @ n7 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl3666]) ).
thf(zip_derived_cl14760,plain,
( ( sk__2
= ( sum @ ( pred @ n29 ) @ ( sum @ n7 @ ( pred @ ( sum @ n21 @ n7 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl753,zip_derived_cl3688]) ).
thf(zip_derived_cl92_7066,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl752_7067,plain,
( ( sum @ n21 @ n7 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_7068,plain,
( ( pred @ n28 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_7069,plain,
( ( sum @ n7 @ n27 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14762,plain,
( ( sk__2
= ( sum @ n28 @ n3 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14760,zip_derived_cl92,zip_derived_cl752,zip_derived_cl91,zip_derived_cl338]) ).
thf(zip_derived_cl965_7070,plain,
( ( sum @ n28 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16121,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n21 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14762,zip_derived_cl965]) ).
thf(zip_derived_cl30_7071,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('897',plain,
( ( sk_ != n21 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16121,zip_derived_cl30]) ).
thf(zip_derived_cl1550_7072,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7073,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8627,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n28 @ n18 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl8598]) ).
thf(zip_derived_cl981_7074,plain,
( ( sum @ n28 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_7075,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl980_7076,plain,
( ( sum @ n28 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_7077,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666_7078,plain,
( ( sum @ n18 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560_7079,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19134,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n28 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8627,zip_derived_cl981,zip_derived_cl79,zip_derived_cl980,zip_derived_cl78,zip_derived_cl666,zip_derived_cl560]) ).
thf(zip_derived_cl14_7080,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('898',plain,
( ( sk__1 != n18 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19134,zip_derived_cl14]) ).
thf(zip_derived_cl1549_7081,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7082,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8626,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n27 @ n18 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl8598]) ).
thf(zip_derived_cl950_7083,plain,
( ( sum @ n27 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_7084,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl949_7085,plain,
( ( sum @ n27 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_7086,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665_7087,plain,
( ( sum @ n18 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528_7088,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19132,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n27 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8626,zip_derived_cl950,zip_derived_cl78,zip_derived_cl949,zip_derived_cl77,zip_derived_cl665,zip_derived_cl528]) ).
thf(zip_derived_cl16_7089,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('899',plain,
( ( sk__1 != n18 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19132,zip_derived_cl16]) ).
thf(zip_derived_cl1548_7090,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7091,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8625,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n26 @ n18 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl8598]) ).
thf(zip_derived_cl919_7092,plain,
( ( sum @ n26 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_7093,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl918_7094,plain,
( ( sum @ n26 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_7095,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664_7096,plain,
( ( sum @ n18 @ n12 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527_7097,plain,
( ( sum @ n13 @ n30 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19130,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n26 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8625,zip_derived_cl919,zip_derived_cl77,zip_derived_cl918,zip_derived_cl76,zip_derived_cl664,zip_derived_cl527]) ).
thf(zip_derived_cl18_7098,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('900',plain,
( ( sk__1 != n18 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19130,zip_derived_cl18]) ).
thf(zip_derived_cl1547_7099,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7100,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8624,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n25 @ n18 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl8598]) ).
thf(zip_derived_cl888_7101,plain,
( ( sum @ n25 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_7102,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl887_7103,plain,
( ( sum @ n25 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_7104,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663_7105,plain,
( ( sum @ n18 @ n11 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_7106,plain,
( ( sum @ n12 @ n29 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19128,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n25 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8624,zip_derived_cl888,zip_derived_cl76,zip_derived_cl887,zip_derived_cl75,zip_derived_cl663,zip_derived_cl495]) ).
thf(zip_derived_cl20_7107,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('901',plain,
( ( sk__1 != n18 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19128,zip_derived_cl20]) ).
thf(zip_derived_cl1546_7108,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7109,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8623,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n24 @ n18 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl8598]) ).
thf(zip_derived_cl857_7110,plain,
( ( sum @ n24 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_7111,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl856_7112,plain,
( ( sum @ n24 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_7113,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662_7114,plain,
( ( sum @ n18 @ n10 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463_7115,plain,
( ( sum @ n11 @ n28 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19126,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n24 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8623,zip_derived_cl857,zip_derived_cl75,zip_derived_cl856,zip_derived_cl74,zip_derived_cl662,zip_derived_cl463]) ).
thf(zip_derived_cl22_7116,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('902',plain,
( ( sk__1 != n18 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19126,zip_derived_cl22]) ).
thf(zip_derived_cl1545_7117,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7118,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8622,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n23 @ n18 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl8598]) ).
thf(zip_derived_cl826_7119,plain,
( ( sum @ n23 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_7120,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl825_7121,plain,
( ( sum @ n23 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_7122,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661_7123,plain,
( ( sum @ n18 @ n9 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_7124,plain,
( ( sum @ n10 @ n27 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19124,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n23 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8622,zip_derived_cl826,zip_derived_cl74,zip_derived_cl825,zip_derived_cl73,zip_derived_cl661,zip_derived_cl431]) ).
thf(zip_derived_cl24_7125,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('903',plain,
( ( sk__1 != n18 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19124,zip_derived_cl24]) ).
thf(zip_derived_cl1540_7126,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7127,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8617,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n18 @ n18 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8598]) ).
thf(zip_derived_cl671_7128,plain,
( ( sum @ n18 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_7129,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl670_7130,plain,
( ( sum @ n18 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_7131,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656_7132,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_7133,plain,
( ( sum @ n5 @ n22 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19112,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n18 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8617,zip_derived_cl671,zip_derived_cl69,zip_derived_cl670,zip_derived_cl68,zip_derived_cl656,zip_derived_cl271]) ).
thf(zip_derived_cl3_7134,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('904',plain,
( ( sk_ != n18 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19112,zip_derived_cl3]) ).
thf(zip_derived_cl1533_7135,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8598_7136,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl2353,zip_derived_cl50]) ).
thf(zip_derived_cl8610,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ n11 @ n18 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n18 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8598]) ).
thf(zip_derived_cl454_7137,plain,
( ( sum @ n11 @ n19 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_7138,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_7139,plain,
( ( sum @ n11 @ n18 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_7140,plain,
( ( pred @ n29 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680_7141,plain,
( ( sum @ n18 @ n28 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1008_7142,plain,
( ( sum @ n29 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl19096,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n11 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8610,zip_derived_cl454,zip_derived_cl93,zip_derived_cl453,zip_derived_cl92,zip_derived_cl680,zip_derived_cl1008]) ).
thf(zip_derived_cl17_7143,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('905',plain,
( ( sk_ != n11 )
| ( sk__1 != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19096,zip_derived_cl17]) ).
thf(zip_derived_cl1547_7144,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7145,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9388,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n25 @ n29 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl9362]) ).
thf(zip_derived_cl899_7146,plain,
( ( sum @ n25 @ n30 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_7147,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl898_7148,plain,
( ( sum @ n25 @ n29 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_7149,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1015_7150,plain,
( ( sum @ n29 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl827_7151,plain,
( ( sum @ n23 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20628,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n25 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9388,zip_derived_cl899,zip_derived_cl87,zip_derived_cl898,zip_derived_cl86,zip_derived_cl1015,zip_derived_cl827]) ).
thf(zip_derived_cl18_7152,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('906',plain,
( ( sk_ != n25 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20628,zip_derived_cl18]) ).
thf(zip_derived_cl1547_7153,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_7154,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9168,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n25 @ n26 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl9142]) ).
thf(zip_derived_cl896_7155,plain,
( ( sum @ n25 @ n27 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_7156,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl895_7157,plain,
( ( sum @ n25 @ n26 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_7158,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl919_7159,plain,
( ( sum @ n26 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_7160,plain,
( ( sum @ n20 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20218,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n25 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9168,zip_derived_cl896,zip_derived_cl84,zip_derived_cl895,zip_derived_cl83,zip_derived_cl919,zip_derived_cl728]) ).
thf(zip_derived_cl27_7161,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('907',plain,
( ( sk_ != n25 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20218,zip_derived_cl27]) ).
thf(zip_derived_cl1547_7162,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7163,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n25 @ n25 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl9077]) ).
thf(zip_derived_cl895_7164,plain,
( ( sum @ n25 @ n26 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_7165,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl894_7166,plain,
( ( sum @ n25 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_7167,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl887_7168,plain,
( ( sum @ n25 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl695_7169,plain,
( ( sum @ n19 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20082,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n25 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9103,zip_derived_cl895,zip_derived_cl83,zip_derived_cl894,zip_derived_cl82,zip_derived_cl887,zip_derived_cl695]) ).
thf(zip_derived_cl30_7170,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('908',plain,
( ( sk_ != n25 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20082,zip_derived_cl30]) ).
thf(zip_derived_cl1567_7171,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2175_7172,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n25 @ sk__1 ) ) ) ) )
<= ( sk_ = n25 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl31]) ).
thf(zip_derived_cl7244,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n25 @ n14 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl2175]) ).
thf(zip_derived_cl46_7173,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7337,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n25 @ n14 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7244,zip_derived_cl46]) ).
thf(zip_derived_cl884_7174,plain,
( ( sum @ n25 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_7175,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl883_7176,plain,
( ( sum @ n25 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_7177,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535_7178,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_7179,plain,
( ( sum @ n8 @ n21 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17664,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n25 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7337,zip_derived_cl884,zip_derived_cl72,zip_derived_cl883,zip_derived_cl71,zip_derived_cl535,zip_derived_cl363]) ).
thf(zip_derived_cl1_7180,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('909',plain,
( ( sk_ != n25 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17664,zip_derived_cl1]) ).
thf(zip_derived_cl1566_7181,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2175_7182,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n25 @ sk__1 ) ) ) ) )
<= ( sk_ = n25 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl31]) ).
thf(zip_derived_cl7243,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n25 @ n13 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2175]) ).
thf(zip_derived_cl45_7183,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7336,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n25 @ n13 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7243,zip_derived_cl45]) ).
thf(zip_derived_cl883_7184,plain,
( ( sum @ n25 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_7185,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl882_7186,plain,
( ( sum @ n25 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_7187,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503_7188,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_7189,plain,
( ( sum @ n7 @ n19 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17662,plain,
( ( sk__2 = n26 )
<= ( ( sk_ = n25 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7336,zip_derived_cl883,zip_derived_cl71,zip_derived_cl882,zip_derived_cl70,zip_derived_cl503,zip_derived_cl330]) ).
thf(zip_derived_cl4_7190,plain,
sk__2 != n26,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('910',plain,
( ( sk_ != n25 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17662,zip_derived_cl4]) ).
thf(zip_derived_cl878_7191,plain,
( ( sum @ n25 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_7192,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7193,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4113,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n25 @ n8 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl4087]) ).
thf(zip_derived_cl15532,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n8 @ ( pred @ ( sum @ n25 @ n8 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl878,zip_derived_cl4113]) ).
thf(zip_derived_cl66_7194,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl877_7195,plain,
( ( sum @ n25 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_7196,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_7197,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_7198,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15534,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n25 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15532,zip_derived_cl66,zip_derived_cl877,zip_derived_cl65,zip_derived_cl343,zip_derived_cl165]) ).
thf(zip_derived_cl19_7199,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('911',plain,
( ( sk_ != n25 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15534,zip_derived_cl19]) ).
thf(zip_derived_cl877_7200,plain,
( ( sum @ n25 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1547_7201,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7202,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3692,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n25 @ n7 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl3666]) ).
thf(zip_derived_cl15525,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n7 @ ( pred @ ( sum @ n25 @ n7 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl877,zip_derived_cl3692]) ).
thf(zip_derived_cl65_7203,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl876_7204,plain,
( ( sum @ n25 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_7205,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_7206,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_7207,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15527,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n25 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15525,zip_derived_cl65,zip_derived_cl876,zip_derived_cl64,zip_derived_cl311,zip_derived_cl132]) ).
thf(zip_derived_cl22_7208,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('912',plain,
( ( sk_ != n25 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15527,zip_derived_cl22]) ).
thf(zip_derived_cl1550_7209,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7210,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9106,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n28 @ n25 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl9077]) ).
thf(zip_derived_cl988_7211,plain,
( ( sum @ n28 @ n26 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_7212,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl987_7213,plain,
( ( sum @ n28 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_7214,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl890_7215,plain,
( ( sum @ n25 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl791_7216,plain,
( ( sum @ n22 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20090,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n28 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9106,zip_derived_cl988,zip_derived_cl86,zip_derived_cl987,zip_derived_cl85,zip_derived_cl890,zip_derived_cl791]) ).
thf(zip_derived_cl24_7217,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('913',plain,
( ( sk__1 != n25 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20090,zip_derived_cl24]) ).
thf(zip_derived_cl1549_7218,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7219,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9105,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n27 @ n25 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl9077]) ).
thf(zip_derived_cl957_7220,plain,
( ( sum @ n27 @ n26 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_7221,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl956_7222,plain,
( ( sum @ n27 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_7223,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl889_7224,plain,
( ( sum @ n25 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl759_7225,plain,
( ( sum @ n21 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20086,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n27 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9105,zip_derived_cl957,zip_derived_cl85,zip_derived_cl956,zip_derived_cl84,zip_derived_cl889,zip_derived_cl759]) ).
thf(zip_derived_cl26_7226,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('914',plain,
( ( sk__1 != n25 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20086,zip_derived_cl26]) ).
thf(zip_derived_cl1548_7227,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7228,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9104,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n26 @ n25 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl9077]) ).
thf(zip_derived_cl926_7229,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_7230,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl925_7231,plain,
( ( sum @ n26 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_7232,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl888_7233,plain,
( ( sum @ n25 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_7234,plain,
( ( sum @ n20 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20084,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n26 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9104,zip_derived_cl926,zip_derived_cl84,zip_derived_cl925,zip_derived_cl83,zip_derived_cl888,zip_derived_cl727]) ).
thf(zip_derived_cl28_7235,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('915',plain,
( ( sk__1 != n25 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20084,zip_derived_cl28]) ).
thf(zip_derived_cl1546_7236,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7237,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9102,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n24 @ n25 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl9077]) ).
thf(zip_derived_cl864_7238,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_7239,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl863_7240,plain,
( ( sum @ n24 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_7241,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl886_7242,plain,
( ( sum @ n25 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663_7243,plain,
( ( sum @ n18 @ n11 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20080,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n24 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9102,zip_derived_cl864,zip_derived_cl82,zip_derived_cl863,zip_derived_cl81,zip_derived_cl886,zip_derived_cl663]) ).
thf(zip_derived_cl1_7244,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('916',plain,
( ( sk__1 != n25 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20080,zip_derived_cl1]) ).
thf(zip_derived_cl1545_7245,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7246,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9101,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n23 @ n25 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl9077]) ).
thf(zip_derived_cl833_7247,plain,
( ( sum @ n23 @ n26 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_7248,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl832_7249,plain,
( ( sum @ n23 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_7250,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl885_7251,plain,
( ( sum @ n25 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631_7252,plain,
( ( sum @ n17 @ n10 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20078,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n23 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9101,zip_derived_cl833,zip_derived_cl81,zip_derived_cl832,zip_derived_cl80,zip_derived_cl885,zip_derived_cl631]) ).
thf(zip_derived_cl3_7253,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('917',plain,
( ( sk__1 != n25 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20078,zip_derived_cl3]) ).
thf(zip_derived_cl1540_7254,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7255,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9096,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n18 @ n25 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl9077]) ).
thf(zip_derived_cl678_7256,plain,
( ( sum @ n18 @ n26 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_7257,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_7258,plain,
( ( sum @ n18 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_7259,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl880_7260,plain,
( ( sum @ n25 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_7261,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20068,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n18 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9096,zip_derived_cl678,zip_derived_cl76,zip_derived_cl677,zip_derived_cl75,zip_derived_cl880,zip_derived_cl471]) ).
thf(zip_derived_cl13_7262,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('918',plain,
( ( sk_ != n18 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20068,zip_derived_cl13]) ).
thf(zip_derived_cl1533_7263,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9077_7264,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl57]) ).
thf(zip_derived_cl9089,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n26 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n11 @ n25 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl9077]) ).
thf(zip_derived_cl461_7265,plain,
( ( sum @ n11 @ n26 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_7266,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460_7267,plain,
( ( sum @ n11 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_7268,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl873_7269,plain,
( ( sum @ n25 @ n4 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_7270,plain,
( ( sum @ n5 @ n29 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20052,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n11 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9089,zip_derived_cl461,zip_derived_cl69,zip_derived_cl460,zip_derived_cl68,zip_derived_cl873,zip_derived_cl278]) ).
thf(zip_derived_cl27_7271,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('919',plain,
( ( sk_ != n11 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20052,zip_derived_cl27]) ).
thf(zip_derived_cl1545_7272,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7273,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9386,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n23 @ n29 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl9362]) ).
thf(zip_derived_cl837_7274,plain,
( ( sum @ n23 @ n30 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_7275,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl836_7276,plain,
( ( sum @ n23 @ n29 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_7277,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1013_7278,plain,
( ( sum @ n29 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl763_7279,plain,
( ( sum @ n21 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20624,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n23 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9386,zip_derived_cl837,zip_derived_cl85,zip_derived_cl836,zip_derived_cl84,zip_derived_cl1013,zip_derived_cl763]) ).
thf(zip_derived_cl22_7280,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('920',plain,
( ( sk_ != n23 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20624,zip_derived_cl22]) ).
thf(zip_derived_cl1545_7281,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_7282,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9166,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n23 @ n26 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl9142]) ).
thf(zip_derived_cl834_7283,plain,
( ( sum @ n23 @ n27 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_7284,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl833_7285,plain,
( ( sum @ n23 @ n26 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_7286,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl917_7287,plain,
( ( sum @ n26 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664_7288,plain,
( ( sum @ n18 @ n12 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20214,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n23 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9166,zip_derived_cl834,zip_derived_cl82,zip_derived_cl833,zip_derived_cl81,zip_derived_cl917,zip_derived_cl664]) ).
thf(zip_derived_cl0_7289,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('921',plain,
( ( sk_ != n23 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20214,zip_derived_cl0]) ).
thf(zip_derived_cl1567_7290,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2173_7291,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n23 @ sk__1 ) ) ) ) )
<= ( sk_ = n23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl31]) ).
thf(zip_derived_cl6968,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n23 @ n14 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl2173]) ).
thf(zip_derived_cl46_7292,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7061,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n23 @ n14 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6968,zip_derived_cl46]) ).
thf(zip_derived_cl822_7293,plain,
( ( sum @ n23 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_7294,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl821_7295,plain,
( ( sum @ n23 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_7296,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533_7297,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_7298,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17466,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n23 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7061,zip_derived_cl822,zip_derived_cl70,zip_derived_cl821,zip_derived_cl69,zip_derived_cl533,zip_derived_cl299]) ).
thf(zip_derived_cl5_7299,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('922',plain,
( ( sk_ != n23 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17466,zip_derived_cl5]) ).
thf(zip_derived_cl1566_7300,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2173_7301,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n23 @ sk__1 ) ) ) ) )
<= ( sk_ = n23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl31]) ).
thf(zip_derived_cl6967,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n23 @ n13 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2173]) ).
thf(zip_derived_cl45_7302,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7060,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n23 @ n13 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6967,zip_derived_cl45]) ).
thf(zip_derived_cl821_7303,plain,
( ( sum @ n23 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_7304,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl820_7305,plain,
( ( sum @ n23 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_7306,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501_7307,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_7308,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17464,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n23 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7060,zip_derived_cl821,zip_derived_cl69,zip_derived_cl820,zip_derived_cl68,zip_derived_cl501,zip_derived_cl266]) ).
thf(zip_derived_cl8_7309,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('923',plain,
( ( sk_ != n23 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17464,zip_derived_cl8]) ).
thf(zip_derived_cl815_7310,plain,
( ( sum @ n23 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_7311,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7312,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3690,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n23 @ n7 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl3666]) ).
thf(zip_derived_cl15116,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n7 @ ( pred @ ( sum @ n23 @ n7 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl815,zip_derived_cl3690]) ).
thf(zip_derived_cl63_7313,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl814_7314,plain,
( ( sum @ n23 @ n7 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_7315,plain,
( ( pred @ n30 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_7316,plain,
( ( sum @ n7 @ n29 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15118,plain,
( ( sk__2
= ( sum @ n30 @ n5 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15116,zip_derived_cl63,zip_derived_cl814,zip_derived_cl93,zip_derived_cl340]) ).
thf(zip_derived_cl1029_7317,plain,
( ( sum @ n30 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16620,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n23 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15118,zip_derived_cl1029]) ).
thf(zip_derived_cl26_7318,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('924',plain,
( ( sk_ != n23 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16620,zip_derived_cl26]) ).
thf(zip_derived_cl816_7319,plain,
( ( sum @ n23 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1545_7320,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7321,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4111,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n23 @ n8 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl4087]) ).
thf(zip_derived_cl15120,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n8 @ ( pred @ ( sum @ n23 @ n8 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl816,zip_derived_cl4111]) ).
thf(zip_derived_cl64_7322,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl815_7323,plain,
( ( sum @ n23 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_7324,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_7325,plain,
( ( sum @ n8 @ n30 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_7326,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15122,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n23 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15120,zip_derived_cl64,zip_derived_cl815,zip_derived_cl63,zip_derived_cl372,zip_derived_cl101]) ).
thf(zip_derived_cl23_7327,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('925',plain,
( ( sk_ != n23 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15122,zip_derived_cl23]) ).
thf(zip_derived_cl970_7328,plain,
( ( sum @ n28 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_7329,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7330,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3695,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n28 @ n7 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl3666]) ).
thf(zip_derived_cl16171,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n7 @ ( pred @ ( sum @ n28 @ n7 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl970,zip_derived_cl3695]) ).
thf(zip_derived_cl68_7331,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl969_7332,plain,
( ( sum @ n28 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_7333,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_7334,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_7335,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16173,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n28 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16171,zip_derived_cl68,zip_derived_cl969,zip_derived_cl67,zip_derived_cl314,zip_derived_cl228]) ).
thf(zip_derived_cl16_7336,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('926',plain,
( ( sk__1 != n7 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16173,zip_derived_cl16]) ).
thf(zip_derived_cl939_7337,plain,
( ( sum @ n27 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_7338,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7339,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3694,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n27 @ n7 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl3666]) ).
thf(zip_derived_cl15938,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n7 @ ( pred @ ( sum @ n27 @ n7 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl939,zip_derived_cl3694]) ).
thf(zip_derived_cl67_7340,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl938_7341,plain,
( ( sum @ n27 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_7342,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_7343,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_7344,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15941,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n27 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15938,zip_derived_cl67,zip_derived_cl938,zip_derived_cl66,zip_derived_cl313,zip_derived_cl196]) ).
thf(zip_derived_cl18_7345,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('927',plain,
( ( sk__1 != n7 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15941,zip_derived_cl18]) ).
thf(zip_derived_cl908_7346,plain,
( ( sum @ n26 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_7347,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7348,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3693,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n26 @ n7 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl3666]) ).
thf(zip_derived_cl15707,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n7 @ ( pred @ ( sum @ n26 @ n7 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl908,zip_derived_cl3693]) ).
thf(zip_derived_cl66_7349,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl907_7350,plain,
( ( sum @ n26 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_7351,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_7352,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_7353,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15709,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n26 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15707,zip_derived_cl66,zip_derived_cl907,zip_derived_cl65,zip_derived_cl312,zip_derived_cl164]) ).
thf(zip_derived_cl20_7354,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('928',plain,
( ( sk__1 != n7 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15709,zip_derived_cl20]) ).
thf(zip_derived_cl1540_7355,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7356,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3685,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n18 @ n7 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl3666]) ).
thf(zip_derived_cl660_7357,plain,
( ( sum @ n18 @ n8 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_7358,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659_7359,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_7360,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_7361,plain,
( ( sum @ n7 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14316,plain,
( ( sk__2
= ( sum @ n25 @ n0 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3685,zip_derived_cl660,zip_derived_cl89,zip_derived_cl659,zip_derived_cl88,zip_derived_cl335]) ).
thf(zip_derived_cl869_7362,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15469,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14316,zip_derived_cl869]) ).
thf(zip_derived_cl5_7363,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('929',plain,
( ( sk_ != n18 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15469,zip_derived_cl5]) ).
thf(zip_derived_cl846_7364,plain,
( ( sum @ n24 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_7365,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7366,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3691,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n24 @ n7 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl3666]) ).
thf(zip_derived_cl15303,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n7 @ ( pred @ ( sum @ n24 @ n7 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl846,zip_derived_cl3691]) ).
thf(zip_derived_cl64_7367,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl845_7368,plain,
( ( sum @ n24 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_7369,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_7370,plain,
( ( sum @ n7 @ n30 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_7371,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15305,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n24 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15303,zip_derived_cl64,zip_derived_cl845,zip_derived_cl63,zip_derived_cl341,zip_derived_cl100]) ).
thf(zip_derived_cl24_7372,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('930',plain,
( ( sk__1 != n7 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15305,zip_derived_cl24]) ).
thf(zip_derived_cl1533_7373,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl3666_7374,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl2145]) ).
thf(zip_derived_cl3678,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ n11 @ n7 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl3666]) ).
thf(zip_derived_cl443_7375,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_7376,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_7377,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_7378,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_7379,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14309,plain,
( ( sk__2
= ( sum @ n18 @ n24 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3678,zip_derived_cl443,zip_derived_cl82,zip_derived_cl442,zip_derived_cl81,zip_derived_cl328]) ).
thf(zip_derived_cl676_7380,plain,
( ( sum @ n18 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14362,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14309,zip_derived_cl676]) ).
thf(zip_derived_cl19_7381,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('931',plain,
( ( sk_ != n11 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14362,zip_derived_cl19]) ).
thf(zip_derived_cl1546_7382,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7383,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9387,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n24 @ n29 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl9362]) ).
thf(zip_derived_cl868_7384,plain,
( ( sum @ n24 @ n30 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_7385,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl867_7386,plain,
( ( sum @ n24 @ n29 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_7387,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1014_7388,plain,
( ( sum @ n29 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl795_7389,plain,
( ( sum @ n22 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20626,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n24 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9387,zip_derived_cl868,zip_derived_cl86,zip_derived_cl867,zip_derived_cl85,zip_derived_cl1014,zip_derived_cl795]) ).
thf(zip_derived_cl20_7390,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('932',plain,
( ( sk_ != n24 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20626,zip_derived_cl20]) ).
thf(zip_derived_cl1546_7391,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_7392,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9167,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n24 @ n26 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl9142]) ).
thf(zip_derived_cl865_7393,plain,
( ( sum @ n24 @ n27 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_7394,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl864_7395,plain,
( ( sum @ n24 @ n26 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_7396,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl918_7397,plain,
( ( sum @ n26 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_7398,plain,
( ( sum @ n19 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20216,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n24 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9167,zip_derived_cl865,zip_derived_cl83,zip_derived_cl864,zip_derived_cl82,zip_derived_cl918,zip_derived_cl696]) ).
thf(zip_derived_cl29_7399,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('933',plain,
( ( sk_ != n24 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20216,zip_derived_cl29]) ).
thf(zip_derived_cl1567_7400,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2174_7401,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n24 @ sk__1 ) ) ) ) )
<= ( sk_ = n24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl31]) ).
thf(zip_derived_cl7106,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n24 @ n14 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl2174]) ).
thf(zip_derived_cl46_7402,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7199,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n24 @ n14 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7106,zip_derived_cl46]) ).
thf(zip_derived_cl853_7403,plain,
( ( sum @ n24 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_7404,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl852_7405,plain,
( ( sum @ n24 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_7406,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534_7407,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_7408,plain,
( ( sum @ n7 @ n20 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17566,plain,
( ( sk__2 = n27 )
<= ( ( sk_ = n24 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7199,zip_derived_cl853,zip_derived_cl71,zip_derived_cl852,zip_derived_cl70,zip_derived_cl534,zip_derived_cl331]) ).
thf(zip_derived_cl3_7409,plain,
sk__2 != n27,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('934',plain,
( ( sk_ != n24 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17566,zip_derived_cl3]) ).
thf(zip_derived_cl1566_7410,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2174_7411,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n24 @ sk__1 ) ) ) ) )
<= ( sk_ = n24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl31]) ).
thf(zip_derived_cl7105,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n24 @ n13 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2174]) ).
thf(zip_derived_cl45_7412,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7198,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n24 @ n13 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7105,zip_derived_cl45]) ).
thf(zip_derived_cl852_7413,plain,
( ( sum @ n24 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_7414,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl851_7415,plain,
( ( sum @ n24 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_7416,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_7417,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_7418,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17564,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n24 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7198,zip_derived_cl852,zip_derived_cl70,zip_derived_cl851,zip_derived_cl69,zip_derived_cl502,zip_derived_cl298]) ).
thf(zip_derived_cl6_7419,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('935',plain,
( ( sk_ != n24 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17564,zip_derived_cl6]) ).
thf(zip_derived_cl847_7420,plain,
( ( sum @ n24 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1546_7421,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7422,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4112,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n24 @ n8 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1546,zip_derived_cl4087]) ).
thf(zip_derived_cl15313,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n8 @ ( pred @ ( sum @ n24 @ n8 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl847,zip_derived_cl4112]) ).
thf(zip_derived_cl65_7423,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl846_7424,plain,
( ( sum @ n24 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_7425,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_7426,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_7427,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15316,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n24 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15313,zip_derived_cl65,zip_derived_cl846,zip_derived_cl64,zip_derived_cl342,zip_derived_cl133]) ).
thf(zip_derived_cl21_7428,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('936',plain,
( ( sk_ != n24 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15316,zip_derived_cl21]) ).
thf(zip_derived_cl1540_7429,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_7430,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8271,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n18 @ n13 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8252]) ).
thf(zip_derived_cl666_7431,plain,
( ( sum @ n18 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_7432,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665_7433,plain,
( ( sum @ n18 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_7434,plain,
( ( pred @ n0 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527_7435,plain,
( ( sum @ n13 @ n30 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_7436,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18430,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n18 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8271,zip_derived_cl666,zip_derived_cl64,zip_derived_cl665,zip_derived_cl63,zip_derived_cl527,zip_derived_cl106]) ).
thf(zip_derived_cl18_7437,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('937',plain,
( ( sk_ != n18 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18430,zip_derived_cl18]) ).
thf(zip_derived_cl1533_7438,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8252_7439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl45]) ).
thf(zip_derived_cl8264,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n11 @ n13 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8252]) ).
thf(zip_derived_cl449_7440,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_7441,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_7442,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_7443,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520_7444,plain,
( ( sum @ n13 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl843_7445,plain,
( ( sum @ n24 @ n5 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18414,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n11 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8264,zip_derived_cl449,zip_derived_cl88,zip_derived_cl448,zip_derived_cl87,zip_derived_cl520,zip_derived_cl843]) ).
thf(zip_derived_cl1_7446,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('938',plain,
( ( sk_ != n11 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18414,zip_derived_cl1]) ).
thf(zip_derived_cl1566_7447,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2178_7448,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n28 @ sk__1 ) ) ) ) )
<= ( sk_ = n28 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl31]) ).
thf(zip_derived_cl7672,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n28 @ n13 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2178]) ).
thf(zip_derived_cl45_7449,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7765,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n28 @ n13 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7672,zip_derived_cl45]) ).
thf(zip_derived_cl976_7450,plain,
( ( sum @ n28 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_7451,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl975_7452,plain,
( ( sum @ n28 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_7453,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506_7454,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_7455,plain,
( ( sum @ n10 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17966,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n28 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7765,zip_derived_cl976,zip_derived_cl74,zip_derived_cl975,zip_derived_cl73,zip_derived_cl506,zip_derived_cl426]) ).
thf(zip_derived_cl29_7456,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('939',plain,
( ( sk__1 != n13 )
| ( sk_ != n28 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17966,zip_derived_cl29]) ).
thf(zip_derived_cl1566_7457,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2177_7458,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n27 @ sk__1 ) ) ) ) )
<= ( sk_ = n27 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl31]) ).
thf(zip_derived_cl7531,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n27 @ n13 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2177]) ).
thf(zip_derived_cl45_7459,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7624,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n27 @ n13 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7531,zip_derived_cl45]) ).
thf(zip_derived_cl945_7460,plain,
( ( sum @ n27 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_7461,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl944_7462,plain,
( ( sum @ n27 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_7463,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505_7464,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_7465,plain,
( ( sum @ n9 @ n21 )
= n30 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17860,plain,
( ( sk__2 = n30 )
<= ( ( sk_ = n27 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7624,zip_derived_cl945,zip_derived_cl73,zip_derived_cl944,zip_derived_cl72,zip_derived_cl505,zip_derived_cl394]) ).
thf(zip_derived_cl0_7466,plain,
sk__2 != n30,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('940',plain,
( ( sk__1 != n13 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17860,zip_derived_cl0]) ).
thf(zip_derived_cl1566_7467,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2176_7468,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n26 @ sk__1 ) ) ) ) )
<= ( sk_ = n26 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl31]) ).
thf(zip_derived_cl7381,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ ( succ @ n13 ) ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n26 @ n13 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1566,zip_derived_cl2176]) ).
thf(zip_derived_cl45_7469,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7474,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n26 @ n13 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7381,zip_derived_cl45]) ).
thf(zip_derived_cl914_7470,plain,
( ( sum @ n26 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_7471,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl913_7472,plain,
( ( sum @ n26 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_7473,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504_7474,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_7475,plain,
( ( sum @ n8 @ n20 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17762,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n26 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7474,zip_derived_cl914,zip_derived_cl72,zip_derived_cl913,zip_derived_cl71,zip_derived_cl504,zip_derived_cl362]) ).
thf(zip_derived_cl2_7476,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('941',plain,
( ( sk__1 != n13 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17762,zip_derived_cl2]) ).
thf(zip_derived_cl1550_7477,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7478,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9391,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n28 @ n29 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl9362]) ).
thf(zip_derived_cl992_7479,plain,
( ( sum @ n28 @ n30 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_7480,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl991_7481,plain,
( ( sum @ n28 @ n29 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_7482,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1018_7483,plain,
( ( sum @ n29 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl923_7484,plain,
( ( sum @ n26 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20634,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n28 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9391,zip_derived_cl992,zip_derived_cl90,zip_derived_cl991,zip_derived_cl89,zip_derived_cl1018,zip_derived_cl923]) ).
thf(zip_derived_cl12_7485,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('942',plain,
( ( sk_ != n28 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20634,zip_derived_cl12]) ).
thf(zip_derived_cl1550_7486,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_7487,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9171,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n28 @ n26 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl9142]) ).
thf(zip_derived_cl989_7488,plain,
( ( sum @ n28 @ n27 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_7489,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl988_7490,plain,
( ( sum @ n28 @ n26 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_7491,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl922_7492,plain,
( ( sum @ n26 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl824_7493,plain,
( ( sum @ n23 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20226,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n28 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9171,zip_derived_cl989,zip_derived_cl87,zip_derived_cl988,zip_derived_cl86,zip_derived_cl922,zip_derived_cl824]) ).
thf(zip_derived_cl21_7494,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('943',plain,
( ( sk_ != n28 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20226,zip_derived_cl21]) ).
thf(zip_derived_cl1567_7495,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2178_7496,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n28 @ sk__1 ) ) ) ) )
<= ( sk_ = n28 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl31]) ).
thf(zip_derived_cl7673,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n28 @ n14 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl2178]) ).
thf(zip_derived_cl46_7497,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7766,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n28 @ n14 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7673,zip_derived_cl46]) ).
thf(zip_derived_cl977_7498,plain,
( ( sum @ n28 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_7499,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl976_7500,plain,
( ( sum @ n28 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_7501,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538_7502,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_7503,plain,
( ( sum @ n11 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17968,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n28 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7766,zip_derived_cl977,zip_derived_cl75,zip_derived_cl976,zip_derived_cl74,zip_derived_cl538,zip_derived_cl459]) ).
thf(zip_derived_cl26_7504,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('944',plain,
( ( sk_ != n28 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17968,zip_derived_cl26]) ).
thf(zip_derived_cl971_7505,plain,
( ( sum @ n28 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1550_7506,plain,
( ( sk_ = n28 )
<= ( sk_ = n28 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7507,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4116,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n28 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n28 @ n8 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl4087]) ).
thf(zip_derived_cl16182,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n8 @ ( pred @ ( sum @ n28 @ n8 ) ) ) ) )
<= ( ( sk_ = n28 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl971,zip_derived_cl4116]) ).
thf(zip_derived_cl69_7508,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl970_7509,plain,
( ( sum @ n28 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_7510,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346_7511,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_7512,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl16185,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n28 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16182,zip_derived_cl69,zip_derived_cl970,zip_derived_cl68,zip_derived_cl346,zip_derived_cl261]) ).
thf(zip_derived_cl13_7513,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('945',plain,
( ( sk_ != n28 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16185,zip_derived_cl13]) ).
thf(zip_derived_cl1549_7514,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7515,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9390,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n27 @ n29 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl9362]) ).
thf(zip_derived_cl961_7516,plain,
( ( sum @ n27 @ n30 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_7517,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl960_7518,plain,
( ( sum @ n27 @ n29 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_7519,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1017_7520,plain,
( ( sum @ n29 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl891_7521,plain,
( ( sum @ n25 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20632,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n27 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9390,zip_derived_cl961,zip_derived_cl89,zip_derived_cl960,zip_derived_cl88,zip_derived_cl1017,zip_derived_cl891]) ).
thf(zip_derived_cl14_7522,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('946',plain,
( ( sk__1 != n29 )
| ( sk_ != n27 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20632,zip_derived_cl14]) ).
thf(zip_derived_cl1548_7523,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7524,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9389,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n26 @ n29 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl9362]) ).
thf(zip_derived_cl930_7525,plain,
( ( sum @ n26 @ n30 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_7526,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl929_7527,plain,
( ( sum @ n26 @ n29 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_7528,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1016_7529,plain,
( ( sum @ n29 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl859_7530,plain,
( ( sum @ n24 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20630,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n26 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9389,zip_derived_cl930,zip_derived_cl88,zip_derived_cl929,zip_derived_cl87,zip_derived_cl1016,zip_derived_cl859]) ).
thf(zip_derived_cl16_7531,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('947',plain,
( ( sk__1 != n29 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20630,zip_derived_cl16]) ).
thf(zip_derived_cl1540_7532,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7533,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9381,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n18 @ n29 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl9362]) ).
thf(zip_derived_cl682_7534,plain,
( ( sum @ n18 @ n30 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_7535,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl681_7536,plain,
( ( sum @ n18 @ n29 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_7537,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1008_7538,plain,
( ( sum @ n29 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603_7539,plain,
( ( sum @ n16 @ n13 )
= n29 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20612,plain,
( ( sk__2 = n29 )
<= ( ( sk_ = n18 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9381,zip_derived_cl682,zip_derived_cl80,zip_derived_cl681,zip_derived_cl79,zip_derived_cl1008,zip_derived_cl603]) ).
thf(zip_derived_cl1_7540,plain,
sk__2 != n29,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('948',plain,
( ( sk_ != n18 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20612,zip_derived_cl1]) ).
thf(zip_derived_cl1533_7541,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9362_7542,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ sk_ @ n29 ) ) ) ) )
<= ( sk__1 = n29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl61]) ).
thf(zip_derived_cl9374,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n30 ) ) @ ( sum @ n29 @ ( pred @ ( sum @ n11 @ n29 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n29 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl9362]) ).
thf(zip_derived_cl465_7543,plain,
( ( sum @ n11 @ n30 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_7544,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_7545,plain,
( ( sum @ n11 @ n29 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_7546,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1001_7547,plain,
( ( sum @ n29 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_7548,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20598,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n11 )
& ( sk__1 = n29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9374,zip_derived_cl465,zip_derived_cl73,zip_derived_cl464,zip_derived_cl72,zip_derived_cl1001,zip_derived_cl379]) ).
thf(zip_derived_cl15_7549,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('949',plain,
( ( sk_ != n11 )
| ( sk__1 != n29 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20598,zip_derived_cl15]) ).
thf(zip_derived_cl1549_7550,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_7551,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9170,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n27 @ n26 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl9142]) ).
thf(zip_derived_cl958_7552,plain,
( ( sum @ n27 @ n27 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_7553,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl957_7554,plain,
( ( sum @ n27 @ n26 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_7555,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl921_7556,plain,
( ( sum @ n26 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl792_7557,plain,
( ( sum @ n22 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20224,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n27 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9170,zip_derived_cl958,zip_derived_cl86,zip_derived_cl957,zip_derived_cl85,zip_derived_cl921,zip_derived_cl792]) ).
thf(zip_derived_cl23_7558,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('950',plain,
( ( sk_ != n27 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20224,zip_derived_cl23]) ).
thf(zip_derived_cl1567_7559,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2177_7560,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n27 @ sk__1 ) ) ) ) )
<= ( sk_ = n27 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl31]) ).
thf(zip_derived_cl7532,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n27 @ n14 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl2177]) ).
thf(zip_derived_cl46_7561,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7625,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n27 @ n14 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7532,zip_derived_cl46]) ).
thf(zip_derived_cl946_7562,plain,
( ( sum @ n27 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_7563,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl945_7564,plain,
( ( sum @ n27 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_7565,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl537_7566,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_7567,plain,
( ( sum @ n10 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17862,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n27 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7625,zip_derived_cl946,zip_derived_cl74,zip_derived_cl945,zip_derived_cl73,zip_derived_cl537,zip_derived_cl427]) ).
thf(zip_derived_cl28_7568,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('951',plain,
( ( sk_ != n27 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17862,zip_derived_cl28]) ).
thf(zip_derived_cl940_7569,plain,
( ( sum @ n27 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1549_7570,plain,
( ( sk_ = n27 )
<= ( sk_ = n27 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7571,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4115,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n27 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n27 @ n8 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1549,zip_derived_cl4087]) ).
thf(zip_derived_cl15950,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n8 @ ( pred @ ( sum @ n27 @ n8 ) ) ) ) )
<= ( ( sk_ = n27 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl940,zip_derived_cl4115]) ).
thf(zip_derived_cl68_7572,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl939_7573,plain,
( ( sum @ n27 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_7574,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_7575,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_7576,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15953,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n27 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15950,zip_derived_cl68,zip_derived_cl939,zip_derived_cl67,zip_derived_cl345,zip_derived_cl229]) ).
thf(zip_derived_cl15_7577,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('952',plain,
( ( sk_ != n27 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15953,zip_derived_cl15]) ).
thf(zip_derived_cl1540_7578,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_7579,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8336,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n18 @ n14 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl8317]) ).
thf(zip_derived_cl667_7580,plain,
( ( sum @ n18 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_7581,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666_7582,plain,
( ( sum @ n18 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_7583,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528_7584,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_7585,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18566,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n18 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8336,zip_derived_cl667,zip_derived_cl65,zip_derived_cl666,zip_derived_cl64,zip_derived_cl528,zip_derived_cl139]) ).
thf(zip_derived_cl15_7586,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('953',plain,
( ( sk_ != n18 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18566,zip_derived_cl15]) ).
thf(zip_derived_cl1533_7587,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl8317_7588,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl2269,zip_derived_cl46]) ).
thf(zip_derived_cl8329,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n11 @ n14 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl8317]) ).
thf(zip_derived_cl450_7589,plain,
( ( sum @ n11 @ n15 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_7590,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_7591,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_7592,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552_7593,plain,
( ( sum @ n14 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl876_7594,plain,
( ( sum @ n25 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl18552,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n11 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8329,zip_derived_cl450,zip_derived_cl89,zip_derived_cl449,zip_derived_cl88,zip_derived_cl552,zip_derived_cl876]) ).
thf(zip_derived_cl29_7595,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('954',plain,
( ( sk_ != n11 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18552,zip_derived_cl29]) ).
thf(zip_derived_cl1567_7596,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl2176_7597,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ n26 @ sk__1 ) ) ) ) )
<= ( sk_ = n26 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl31]) ).
thf(zip_derived_cl7382,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ ( succ @ n14 ) ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n26 @ n14 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl2176]) ).
thf(zip_derived_cl46_7598,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl7475,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n26 @ n14 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7382,zip_derived_cl46]) ).
thf(zip_derived_cl915_7599,plain,
( ( sum @ n26 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_7600,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl914_7601,plain,
( ( sum @ n26 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_7602,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_7603,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_7604,plain,
( ( sum @ n9 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl17764,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n26 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7475,zip_derived_cl915,zip_derived_cl73,zip_derived_cl914,zip_derived_cl72,zip_derived_cl536,zip_derived_cl395]) ).
thf(zip_derived_cl30_7605,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('955',plain,
( ( sk__1 != n14 )
| ( sk_ != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17764,zip_derived_cl30]) ).
thf(zip_derived_cl1548_7606,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_7607,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9169,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n26 @ n26 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl9142]) ).
thf(zip_derived_cl927_7608,plain,
( ( sum @ n26 @ n27 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_7609,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl926_7610,plain,
( ( sum @ n26 @ n26 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_7611,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl920_7612,plain,
( ( sum @ n26 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl760_7613,plain,
( ( sum @ n21 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20222,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n26 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9169,zip_derived_cl927,zip_derived_cl85,zip_derived_cl926,zip_derived_cl84,zip_derived_cl920,zip_derived_cl760]) ).
thf(zip_derived_cl25_7614,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('956',plain,
( ( sk_ != n26 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20222,zip_derived_cl25]) ).
thf(zip_derived_cl909_7615,plain,
( ( sum @ n26 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1548_7616,plain,
( ( sk_ = n26 )
<= ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7617,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4114,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n26 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n26 @ n8 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1548,zip_derived_cl4087]) ).
thf(zip_derived_cl15716,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n8 @ ( pred @ ( sum @ n26 @ n8 ) ) ) ) )
<= ( ( sk_ = n26 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl909,zip_derived_cl4114]) ).
thf(zip_derived_cl67_7618,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl908_7619,plain,
( ( sum @ n26 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_7620,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_7621,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_7622,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15719,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n26 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15716,zip_derived_cl67,zip_derived_cl908,zip_derived_cl66,zip_derived_cl344,zip_derived_cl197]) ).
thf(zip_derived_cl17_7623,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('957',plain,
( ( sk_ != n26 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15719,zip_derived_cl17]) ).
thf(zip_derived_cl1540_7624,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7625,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4106,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n18 @ n8 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl4087]) ).
thf(zip_derived_cl661_7626,plain,
( ( sum @ n18 @ n9 )
= n27 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_7627,plain,
( ( pred @ n27 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660_7628,plain,
( ( sum @ n18 @ n8 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_7629,plain,
( ( pred @ n26 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_7630,plain,
( ( sum @ n8 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14648,plain,
( ( sk__2
= ( sum @ n26 @ n2 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4106,zip_derived_cl661,zip_derived_cl90,zip_derived_cl660,zip_derived_cl89,zip_derived_cl367]) ).
thf(zip_derived_cl902_7631,plain,
( ( sum @ n26 @ n2 )
= n28 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl15666,plain,
( ( sk__2 = n28 )
<= ( ( sk_ = n18 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14648,zip_derived_cl902]) ).
thf(zip_derived_cl2_7632,plain,
sk__2 != n28,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('958',plain,
( ( sk_ != n18 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15666,zip_derived_cl2]) ).
thf(zip_derived_cl1533_7633,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl4087_7634,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl2146]) ).
thf(zip_derived_cl4099,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ n11 @ n8 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl4087]) ).
thf(zip_derived_cl444_7635,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_7636,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_7637,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_7638,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_7639,plain,
( ( sum @ n8 @ n18 )
= n26 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709_7640,plain,
( ( sum @ n19 @ n26 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14637,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n11 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4099,zip_derived_cl444,zip_derived_cl83,zip_derived_cl443,zip_derived_cl82,zip_derived_cl360,zip_derived_cl709]) ).
thf(zip_derived_cl16_7641,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('959',plain,
( ( sk_ != n11 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14637,zip_derived_cl16]) ).
thf('960',plain,
( ( sk__1 = n26 )
| ( sk__1 = n8 )
| ( sk__1 = n28 )
| ( sk__1 = n1 )
| ( sk__1 = n27 )
| ( sk__1 = n2 )
| ( sk__1 = n23 )
| ( sk__1 = n4 )
| ( sk__1 = n6 )
| ( sk__1 = n5 )
| ( sk__1 = n15 )
| ( sk__1 = n30 )
| ( sk__1 = n9 )
| ( sk__1 = n10 )
| ( sk__1 = n24 )
| ( sk__1 = n12 )
| ( sk__1 = n22 )
| ( sk__1 = n0 )
| ( sk__1 = n16 )
| ( sk__1 = n17 )
| ( sk__1 = n3 )
| ( sk__1 = n11 )
| ( sk__1 = n19 )
| ( sk__1 = n20 )
| ( sk__1 = n21 )
| ( sk__1 = n18 )
| ( sk__1 = n25 )
| ( sk__1 = n7 )
| ( sk__1 = n13 )
| ( sk__1 = n29 )
| ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl1056]) ).
thf(zip_derived_cl1540_7642,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl9142_7643,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ sk_ @ n26 ) ) ) ) )
<= ( sk__1 = n26 ) ),
inference(demod,[status(thm)],[zip_derived_cl2568,zip_derived_cl58]) ).
thf(zip_derived_cl9161,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n27 ) ) @ ( sum @ n26 @ ( pred @ ( sum @ n18 @ n26 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n26 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1540,zip_derived_cl9142]) ).
thf(zip_derived_cl679_7644,plain,
( ( sum @ n18 @ n27 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_7645,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_7646,plain,
( ( sum @ n18 @ n26 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_7647,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl912_7648,plain,
( ( sum @ n26 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504_7649,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl20204,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n18 )
& ( sk__1 = n26 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9161,zip_derived_cl679,zip_derived_cl77,zip_derived_cl678,zip_derived_cl76,zip_derived_cl912,zip_derived_cl504]) ).
thf(zip_derived_cl10_7650,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('961',plain,
( ( sk_ != n18 )
| ( sk__1 != n26 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20204,zip_derived_cl10]) ).
thf('962',plain,
( ( sk_ = n18 )
| ( sk_ = n11 )
| ( sk_ = n0 )
| ( sk_ = n1 )
| ( sk_ = n5 )
| ( sk_ = n2 )
| ( sk_ = n6 )
| ( sk_ = n4 )
| ( sk_ = n29 )
| ( sk_ = n8 )
| ( sk_ = n7 )
| ( sk_ = n30 )
| ( sk_ = n13 )
| ( sk_ = n10 )
| ( sk_ = n15 )
| ( sk_ = n12 )
| ( sk_ = n19 )
| ( sk_ = n20 )
| ( sk_ = n17 )
| ( sk_ = n9 )
| ( sk_ = n3 )
| ( sk_ = n14 )
| ( sk_ = n22 )
| ( sk_ = n16 )
| ( sk_ = n21 )
| ( sk_ = n25 )
| ( sk_ = n23 )
| ( sk_ = n24 )
| ( sk_ = n28 )
| ( sk_ = n27 )
| ( sk_ = n26 ) ),
inference(split,[status(esa)],[zip_derived_cl1055]) ).
thf(zip_derived_cl20778,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','84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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM375+1.030 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5kN1rhriqL true
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:40:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.42/0.58 % Total configuration time : 435
% 0.42/0.58 % Estimated wc time : 1092
% 0.42/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 51.18/7.91 % Solved by fo/fo1_av.sh.
% 51.18/7.91 % done 8445 iterations in 4.246s
% 51.18/7.91 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 51.18/7.91 % SZS output start Refutation
% See solution above
% 51.72/7.99
% 51.72/7.99
% 51.72/7.99 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 51.72/7.99 % Terminating...
% 51.72/8.03 % Runner terminated.
% 51.76/8.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------