%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM375+1.025 : 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.6HSFIQYdRM true
% Computer : n023.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 04:46:16 PM UTC 2025
% Result : Unsatisfiable 30.91s 5.05s
% Output : Refutation 31.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 8476 (4796 unt; 0 typ; 0 def)
% Number of atoms : 14972 (14971 equ; 0 cnn)
% Maximal formula atoms : 1132 ( 1 avg)
% Number of connectives : 32449 (2379 ~; 826 |;2671 &;23574 @)
% ( 0 <=>; 0 =>;2999 <=; 0 <~>)
% Maximal formula depth : 1085 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 30 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(n22_type,type,
n22: $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(sk__2_type,type,
sk__2: $i ).
thf(n7_type,type,
n7: $i ).
thf(n23_type,type,
n23: $i ).
thf(n4_type,type,
n4: $i ).
thf(n18_type,type,
n18: $i ).
thf(n13_type,type,
n13: $i ).
thf(n25_type,type,
n25: $i ).
thf(n10_type,type,
n10: $i ).
thf(sk__type,type,
sk_: $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(sk__1_type,type,
sk__1: $i ).
thf(n0_type,type,
n0: $i ).
thf(n8_type,type,
n8: $i ).
thf(pred_type,type,
pred: $i > $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] :
( ( n24 != n25 )
& ( n23 != n25 )
& ( n23 != n24 )
& ( n22 != n25 )
& ( n22 != n24 )
& ( n22 != n23 )
& ( n21 != n25 )
& ( n21 != n24 )
& ( n21 != n23 )
& ( n21 != n22 )
& ( n20 != n25 )
& ( n20 != n24 )
& ( n20 != n23 )
& ( n20 != n22 )
& ( n20 != n21 )
& ( n19 != n25 )
& ( n19 != n24 )
& ( n19 != n23 )
& ( n19 != n22 )
& ( n19 != n21 )
& ( n19 != n20 )
& ( n18 != n25 )
& ( n18 != n24 )
& ( n18 != n23 )
& ( n18 != n22 )
& ( n18 != n21 )
& ( n18 != n20 )
& ( n18 != n19 )
& ( n17 != n25 )
& ( n17 != n24 )
& ( n17 != n23 )
& ( n17 != n22 )
& ( n17 != n21 )
& ( n17 != n20 )
& ( n17 != n19 )
& ( n17 != n18 )
& ( n16 != n25 )
& ( n16 != n24 )
& ( n16 != n23 )
& ( n16 != n22 )
& ( n16 != n21 )
& ( n16 != n20 )
& ( n16 != n19 )
& ( n16 != n18 )
& ( n16 != n17 )
& ( n15 != n25 )
& ( n15 != n24 )
& ( n15 != n23 )
& ( n15 != n22 )
& ( n15 != n21 )
& ( n15 != n20 )
& ( n15 != n19 )
& ( n15 != n18 )
& ( n15 != n17 )
& ( n15 != n16 )
& ( n14 != n25 )
& ( n14 != n24 )
& ( n14 != n23 )
& ( n14 != n22 )
& ( n14 != n21 )
& ( n14 != n20 )
& ( n14 != n19 )
& ( n14 != n18 )
& ( n14 != n17 )
& ( n14 != n16 )
& ( n14 != n15 )
& ( n13 != n25 )
& ( n13 != n24 )
& ( n13 != n23 )
& ( n13 != n22 )
& ( n13 != n21 )
& ( n13 != n20 )
& ( n13 != n19 )
& ( n13 != n18 )
& ( n13 != n17 )
& ( n13 != n16 )
& ( n13 != n15 )
& ( n13 != n14 )
& ( n12 != n25 )
& ( n12 != n24 )
& ( n12 != n23 )
& ( n12 != n22 )
& ( n12 != n21 )
& ( n12 != n20 )
& ( n12 != n19 )
& ( n12 != n18 )
& ( n12 != n17 )
& ( n12 != n16 )
& ( n12 != n15 )
& ( n12 != n14 )
& ( n12 != n13 )
& ( n11 != n25 )
& ( n11 != n24 )
& ( n11 != n23 )
& ( n11 != n22 )
& ( n11 != n21 )
& ( n11 != n20 )
& ( n11 != n19 )
& ( n11 != n18 )
& ( n11 != n17 )
& ( n11 != n16 )
& ( n11 != n15 )
& ( n11 != n14 )
& ( n11 != n13 )
& ( n11 != n12 )
& ( n10 != n25 )
& ( n10 != n24 )
& ( n10 != n23 )
& ( n10 != n22 )
& ( n10 != n21 )
& ( n10 != n20 )
& ( n10 != n19 )
& ( n10 != n18 )
& ( n10 != n17 )
& ( n10 != n16 )
& ( n10 != n15 )
& ( n10 != n14 )
& ( n10 != n13 )
& ( n10 != n12 )
& ( n10 != n11 )
& ( n9 != n25 )
& ( n9 != n24 )
& ( n9 != n23 )
& ( n9 != n22 )
& ( n9 != n21 )
& ( n9 != n20 )
& ( n9 != n19 )
& ( n9 != n18 )
& ( n9 != n17 )
& ( n9 != n16 )
& ( n9 != n15 )
& ( n9 != n14 )
& ( n9 != n13 )
& ( n9 != n12 )
& ( n9 != n11 )
& ( n9 != n10 )
& ( n8 != n25 )
& ( n8 != n24 )
& ( n8 != n23 )
& ( n8 != n22 )
& ( n8 != n21 )
& ( n8 != n20 )
& ( n8 != n19 )
& ( n8 != n18 )
& ( n8 != n17 )
& ( n8 != n16 )
& ( n8 != n15 )
& ( n8 != n14 )
& ( n8 != n13 )
& ( n8 != n12 )
& ( n8 != n11 )
& ( n8 != n10 )
& ( n8 != n9 )
& ( n7 != n25 )
& ( n7 != n24 )
& ( n7 != n23 )
& ( n7 != n22 )
& ( n7 != n21 )
& ( n7 != n20 )
& ( n7 != n19 )
& ( n7 != n18 )
& ( n7 != n17 )
& ( n7 != n16 )
& ( n7 != n15 )
& ( n7 != n14 )
& ( n7 != n13 )
& ( n7 != n12 )
& ( n7 != n11 )
& ( n7 != n10 )
& ( n7 != n9 )
& ( n7 != n8 )
& ( n6 != n25 )
& ( n6 != n24 )
& ( n6 != n23 )
& ( n6 != n22 )
& ( n6 != n21 )
& ( n6 != n20 )
& ( n6 != n19 )
& ( n6 != n18 )
& ( n6 != n17 )
& ( n6 != n16 )
& ( n6 != n15 )
& ( n6 != n14 )
& ( n6 != n13 )
& ( n6 != n12 )
& ( n6 != n11 )
& ( n6 != n10 )
& ( n6 != n9 )
& ( n6 != n8 )
& ( n6 != n7 )
& ( n5 != n25 )
& ( n5 != n24 )
& ( n5 != n23 )
& ( n5 != n22 )
& ( n5 != n21 )
& ( n5 != n20 )
& ( n5 != n19 )
& ( n5 != n18 )
& ( n5 != n17 )
& ( n5 != n16 )
& ( n5 != n15 )
& ( n5 != n14 )
& ( n5 != n13 )
& ( n5 != n12 )
& ( n5 != n11 )
& ( n5 != n10 )
& ( n5 != n9 )
& ( n5 != n8 )
& ( n5 != n7 )
& ( n5 != n6 )
& ( n4 != n25 )
& ( n4 != n24 )
& ( n4 != n23 )
& ( n4 != n22 )
& ( n4 != n21 )
& ( n4 != n20 )
& ( n4 != n19 )
& ( n4 != n18 )
& ( n4 != n17 )
& ( n4 != n16 )
& ( n4 != n15 )
& ( n4 != n14 )
& ( n4 != n13 )
& ( n4 != n12 )
& ( n4 != n11 )
& ( n4 != n10 )
& ( n4 != n9 )
& ( n4 != n8 )
& ( n4 != n7 )
& ( n4 != n6 )
& ( n4 != n5 )
& ( n3 != n25 )
& ( n3 != n24 )
& ( n3 != n23 )
& ( n3 != n22 )
& ( n3 != n21 )
& ( n3 != n20 )
& ( n3 != n19 )
& ( n3 != n18 )
& ( n3 != n17 )
& ( n3 != n16 )
& ( n3 != n15 )
& ( n3 != n14 )
& ( n3 != n13 )
& ( n3 != n12 )
& ( n3 != n11 )
& ( n3 != n10 )
& ( n3 != n9 )
& ( n3 != n8 )
& ( n3 != n7 )
& ( n3 != n6 )
& ( n3 != n5 )
& ( n3 != n4 )
& ( n2 != n25 )
& ( n2 != n24 )
& ( n2 != n23 )
& ( n2 != n22 )
& ( n2 != n21 )
& ( n2 != n20 )
& ( n2 != n19 )
& ( n2 != n18 )
& ( n2 != n17 )
& ( n2 != n16 )
& ( n2 != n15 )
& ( n2 != n14 )
& ( n2 != n13 )
& ( n2 != n12 )
& ( n2 != n11 )
& ( n2 != n10 )
& ( n2 != n9 )
& ( n2 != n8 )
& ( n2 != n7 )
& ( n2 != n6 )
& ( n2 != n5 )
& ( n2 != n4 )
& ( n2 != n3 )
& ( n1 != n25 )
& ( n1 != n24 )
& ( n1 != n23 )
& ( n1 != n22 )
& ( n1 != n21 )
& ( n1 != n20 )
& ( n1 != n19 )
& ( n1 != n18 )
& ( n1 != n17 )
& ( n1 != n16 )
& ( n1 != n15 )
& ( n1 != n14 )
& ( n1 != n13 )
& ( n1 != n12 )
& ( n1 != n11 )
& ( n1 != n10 )
& ( n1 != n9 )
& ( n1 != n8 )
& ( n1 != n7 )
& ( n1 != n6 )
& ( n1 != n5 )
& ( n1 != n4 )
& ( n1 != n3 )
& ( n1 != n2 )
& ( n0 != n25 )
& ( n0 != n24 )
& ( n0 != n23 )
& ( n0 != n22 )
& ( n0 != n21 )
& ( n0 != n20 )
& ( n0 != n19 )
& ( n0 != n18 )
& ( n0 != n17 )
& ( n0 != n16 )
& ( n0 != n15 )
& ( n0 != n14 )
& ( n0 != n13 )
& ( n0 != n12 )
& ( n0 != n11 )
& ( n0 != n10 )
& ( n0 != n9 )
& ( n0 != n8 )
& ( n0 != n7 )
& ( n0 != n6 )
& ( n0 != n5 )
& ( n0 != n4 )
& ( n0 != n3 )
& ( n0 != n2 )
& ( n0 != n1 )
& ( 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 = n25 )
| ( Y = n24 )
| ( Y = n23 )
| ( Y = n22 )
| ( Y = n21 )
| ( Y = n20 )
| ( Y = n19 )
| ( Y = n18 )
| ( Y = n17 )
| ( Y = n16 )
| ( Y = n15 )
| ( Y = n14 )
| ( Y = n13 )
| ( Y = n12 )
| ( Y = n11 )
| ( Y = n10 )
| ( Y = n9 )
| ( Y = n8 )
| ( Y = n7 )
| ( Y = n6 )
| ( Y = n5 )
| ( Y = n4 )
| ( Y = n3 )
| ( Y = n2 )
| ( Y = n1 )
| ( Y = n0 ) )
& ( ( X = n25 )
| ( X = n24 )
| ( X = n23 )
| ( X = n22 )
| ( X = n21 )
| ( X = n20 )
| ( X = n19 )
| ( X = n18 )
| ( X = n17 )
| ( X = n16 )
| ( X = n15 )
| ( X = n14 )
| ( X = n13 )
| ( X = n12 )
| ( X = n11 )
| ( X = n10 )
| ( X = n9 )
| ( X = n8 )
| ( X = n7 )
| ( X = n6 )
| ( X = n5 )
| ( X = n4 )
| ( X = n3 )
| ( X = n2 )
| ( X = n1 )
| ( X = n0 ) )
& ( ( sum @ n25 @ n25 )
= n24 )
& ( ( sum @ n25 @ n24 )
= n23 )
& ( ( sum @ n25 @ n23 )
= n22 )
& ( ( sum @ n25 @ n22 )
= n21 )
& ( ( sum @ n25 @ n21 )
= n20 )
& ( ( sum @ n25 @ n20 )
= n19 )
& ( ( sum @ n25 @ n19 )
= n18 )
& ( ( sum @ n25 @ n18 )
= n17 )
& ( ( sum @ n25 @ n17 )
= n16 )
& ( ( sum @ n25 @ n16 )
= n15 )
& ( ( sum @ n25 @ n15 )
= n14 )
& ( ( sum @ n25 @ n14 )
= n13 )
& ( ( sum @ n25 @ n13 )
= n12 )
& ( ( sum @ n25 @ n12 )
= n11 )
& ( ( sum @ n25 @ n11 )
= n10 )
& ( ( sum @ n25 @ n10 )
= n9 )
& ( ( sum @ n25 @ n9 )
= n8 )
& ( ( sum @ n25 @ n8 )
= n7 )
& ( ( sum @ n25 @ n7 )
= n6 )
& ( ( sum @ n25 @ n6 )
= n5 )
& ( ( sum @ n25 @ n5 )
= n4 )
& ( ( sum @ n25 @ n4 )
= n3 )
& ( ( sum @ n25 @ n3 )
= n2 )
& ( ( sum @ n25 @ n2 )
= n1 )
& ( ( sum @ n25 @ n1 )
= n0 )
& ( ( sum @ n25 @ n0 )
= n25 )
& ( ( sum @ n24 @ n25 )
= n23 )
& ( ( sum @ n24 @ n24 )
= n22 )
& ( ( sum @ n24 @ n23 )
= n21 )
& ( ( sum @ n24 @ n22 )
= n20 )
& ( ( sum @ n24 @ n21 )
= n19 )
& ( ( sum @ n24 @ n20 )
= n18 )
& ( ( sum @ n24 @ n19 )
= n17 )
& ( ( sum @ n24 @ n18 )
= n16 )
& ( ( sum @ n24 @ n17 )
= n15 )
& ( ( sum @ n24 @ n16 )
= n14 )
& ( ( sum @ n24 @ n15 )
= n13 )
& ( ( sum @ n24 @ n14 )
= n12 )
& ( ( sum @ n24 @ n13 )
= n11 )
& ( ( sum @ n24 @ n12 )
= n10 )
& ( ( sum @ n24 @ n11 )
= n9 )
& ( ( sum @ n24 @ n10 )
= n8 )
& ( ( sum @ n24 @ n9 )
= n7 )
& ( ( sum @ n24 @ n8 )
= n6 )
& ( ( sum @ n24 @ n7 )
= n5 )
& ( ( sum @ n24 @ n6 )
= n4 )
& ( ( sum @ n24 @ n5 )
= n3 )
& ( ( sum @ n24 @ n4 )
= n2 )
& ( ( sum @ n24 @ n3 )
= n1 )
& ( ( sum @ n24 @ n2 )
= n0 )
& ( ( sum @ n24 @ n1 )
= n25 )
& ( ( sum @ n24 @ n0 )
= n24 )
& ( ( sum @ n23 @ n25 )
= n22 )
& ( ( sum @ n23 @ n24 )
= n21 )
& ( ( sum @ n23 @ n23 )
= n20 )
& ( ( sum @ n23 @ n22 )
= n19 )
& ( ( sum @ n23 @ n21 )
= n18 )
& ( ( sum @ n23 @ n20 )
= n17 )
& ( ( sum @ n23 @ n19 )
= n16 )
& ( ( sum @ n23 @ n18 )
= n15 )
& ( ( sum @ n23 @ n17 )
= n14 )
& ( ( sum @ n23 @ n16 )
= n13 )
& ( ( sum @ n23 @ n15 )
= n12 )
& ( ( sum @ n23 @ n14 )
= n11 )
& ( ( sum @ n23 @ n13 )
= n10 )
& ( ( sum @ n23 @ n12 )
= n9 )
& ( ( sum @ n23 @ n11 )
= n8 )
& ( ( sum @ n23 @ n10 )
= n7 )
& ( ( sum @ n23 @ n9 )
= n6 )
& ( ( sum @ n23 @ n8 )
= n5 )
& ( ( sum @ n23 @ n7 )
= n4 )
& ( ( sum @ n23 @ n6 )
= n3 )
& ( ( sum @ n23 @ n5 )
= n2 )
& ( ( sum @ n23 @ n4 )
= n1 )
& ( ( sum @ n23 @ n3 )
= n0 )
& ( ( sum @ n23 @ n2 )
= n25 )
& ( ( sum @ n23 @ n1 )
= n24 )
& ( ( sum @ n23 @ n0 )
= n23 )
& ( ( sum @ n22 @ n25 )
= n21 )
& ( ( sum @ n22 @ n24 )
= n20 )
& ( ( sum @ n22 @ n23 )
= n19 )
& ( ( sum @ n22 @ n22 )
= n18 )
& ( ( sum @ n22 @ n21 )
= n17 )
& ( ( sum @ n22 @ n20 )
= n16 )
& ( ( sum @ n22 @ n19 )
= n15 )
& ( ( sum @ n22 @ n18 )
= n14 )
& ( ( sum @ n22 @ n17 )
= n13 )
& ( ( sum @ n22 @ n16 )
= n12 )
& ( ( sum @ n22 @ n15 )
= n11 )
& ( ( sum @ n22 @ n14 )
= n10 )
& ( ( sum @ n22 @ n13 )
= n9 )
& ( ( sum @ n22 @ n12 )
= n8 )
& ( ( sum @ n22 @ n11 )
= n7 )
& ( ( sum @ n22 @ n10 )
= n6 )
& ( ( sum @ n22 @ n9 )
= n5 )
& ( ( sum @ n22 @ n8 )
= n4 )
& ( ( sum @ n22 @ n7 )
= n3 )
& ( ( sum @ n22 @ n6 )
= n2 )
& ( ( sum @ n22 @ n5 )
= n1 )
& ( ( sum @ n22 @ n4 )
= n0 )
& ( ( sum @ n22 @ n3 )
= n25 )
& ( ( sum @ n22 @ n2 )
= n24 )
& ( ( sum @ n22 @ n1 )
= n23 )
& ( ( sum @ n22 @ n0 )
= n22 )
& ( ( sum @ n21 @ n25 )
= n20 )
& ( ( sum @ n21 @ n24 )
= n19 )
& ( ( sum @ n21 @ n23 )
= n18 )
& ( ( sum @ n21 @ n22 )
= n17 )
& ( ( sum @ n21 @ n21 )
= n16 )
& ( ( sum @ n21 @ n20 )
= n15 )
& ( ( sum @ n21 @ n19 )
= n14 )
& ( ( sum @ n21 @ n18 )
= n13 )
& ( ( sum @ n21 @ n17 )
= n12 )
& ( ( sum @ n21 @ n16 )
= n11 )
& ( ( sum @ n21 @ n15 )
= n10 )
& ( ( sum @ n21 @ n14 )
= n9 )
& ( ( sum @ n21 @ n13 )
= n8 )
& ( ( sum @ n21 @ n12 )
= n7 )
& ( ( sum @ n21 @ n11 )
= n6 )
& ( ( sum @ n21 @ n10 )
= n5 )
& ( ( sum @ n21 @ n9 )
= n4 )
& ( ( sum @ n21 @ n8 )
= n3 )
& ( ( sum @ n21 @ n7 )
= n2 )
& ( ( sum @ n21 @ n6 )
= n1 )
& ( ( sum @ n21 @ n5 )
= n0 )
& ( ( sum @ n21 @ n4 )
= n25 )
& ( ( sum @ n21 @ n3 )
= n24 )
& ( ( sum @ n21 @ n2 )
= n23 )
& ( ( sum @ n21 @ n1 )
= n22 )
& ( ( sum @ n21 @ n0 )
= n21 )
& ( ( sum @ n20 @ n25 )
= n19 )
& ( ( sum @ n20 @ n24 )
= n18 )
& ( ( sum @ n20 @ n23 )
= n17 )
& ( ( sum @ n20 @ n22 )
= n16 )
& ( ( sum @ n20 @ n21 )
= n15 )
& ( ( sum @ n20 @ n20 )
= n14 )
& ( ( sum @ n20 @ n19 )
= n13 )
& ( ( sum @ n20 @ n18 )
= n12 )
& ( ( sum @ n20 @ n17 )
= n11 )
& ( ( sum @ n20 @ n16 )
= n10 )
& ( ( sum @ n20 @ n15 )
= n9 )
& ( ( sum @ n20 @ n14 )
= n8 )
& ( ( sum @ n20 @ n13 )
= n7 )
& ( ( sum @ n20 @ n12 )
= n6 )
& ( ( sum @ n20 @ n11 )
= n5 )
& ( ( sum @ n20 @ n10 )
= n4 )
& ( ( sum @ n20 @ n9 )
= n3 )
& ( ( sum @ n20 @ n8 )
= n2 )
& ( ( sum @ n20 @ n7 )
= n1 )
& ( ( sum @ n20 @ n6 )
= n0 )
& ( ( sum @ n20 @ n5 )
= n25 )
& ( ( sum @ n20 @ n4 )
= n24 )
& ( ( sum @ n20 @ n3 )
= n23 )
& ( ( sum @ n20 @ n2 )
= n22 )
& ( ( sum @ n20 @ n1 )
= n21 )
& ( ( sum @ n20 @ n0 )
= n20 )
& ( ( sum @ n19 @ n25 )
= n18 )
& ( ( sum @ n19 @ n24 )
= n17 )
& ( ( sum @ n19 @ n23 )
= n16 )
& ( ( sum @ n19 @ n22 )
= n15 )
& ( ( sum @ n19 @ n21 )
= n14 )
& ( ( sum @ n19 @ n20 )
= n13 )
& ( ( sum @ n19 @ n19 )
= n12 )
& ( ( sum @ n19 @ n18 )
= n11 )
& ( ( sum @ n19 @ n17 )
= n10 )
& ( ( sum @ n19 @ n16 )
= n9 )
& ( ( sum @ n19 @ n15 )
= n8 )
& ( ( sum @ n19 @ n14 )
= n7 )
& ( ( sum @ n19 @ n13 )
= n6 )
& ( ( sum @ n19 @ n12 )
= n5 )
& ( ( sum @ n19 @ n11 )
= n4 )
& ( ( sum @ n19 @ n10 )
= n3 )
& ( ( sum @ n19 @ n9 )
= n2 )
& ( ( sum @ n19 @ n8 )
= n1 )
& ( ( sum @ n19 @ n7 )
= n0 )
& ( ( sum @ n19 @ n6 )
= n25 )
& ( ( sum @ n19 @ n5 )
= n24 )
& ( ( sum @ n19 @ n4 )
= n23 )
& ( ( sum @ n19 @ n3 )
= n22 )
& ( ( sum @ n19 @ n2 )
= n21 )
& ( ( sum @ n19 @ n1 )
= n20 )
& ( ( sum @ n19 @ n0 )
= n19 )
& ( ( sum @ n18 @ n25 )
= n17 )
& ( ( sum @ n18 @ n24 )
= n16 )
& ( ( sum @ n18 @ n23 )
= n15 )
& ( ( sum @ n18 @ n22 )
= n14 )
& ( ( sum @ n18 @ n21 )
= n13 )
& ( ( sum @ n18 @ n20 )
= n12 )
& ( ( sum @ n18 @ n19 )
= n11 )
& ( ( sum @ n18 @ n18 )
= n10 )
& ( ( sum @ n18 @ n17 )
= n9 )
& ( ( sum @ n18 @ n16 )
= n8 )
& ( ( sum @ n18 @ n15 )
= n7 )
& ( ( sum @ n18 @ n14 )
= n6 )
& ( ( sum @ n18 @ n13 )
= n5 )
& ( ( sum @ n18 @ n12 )
= n4 )
& ( ( sum @ n18 @ n11 )
= n3 )
& ( ( sum @ n18 @ n10 )
= n2 )
& ( ( sum @ n18 @ n9 )
= n1 )
& ( ( sum @ n18 @ n8 )
= n0 )
& ( ( sum @ n18 @ n7 )
= n25 )
& ( ( sum @ n18 @ n6 )
= n24 )
& ( ( sum @ n18 @ n5 )
= n23 )
& ( ( sum @ n18 @ n4 )
= n22 )
& ( ( sum @ n18 @ n3 )
= n21 )
& ( ( sum @ n18 @ n2 )
= n20 )
& ( ( sum @ n18 @ n1 )
= n19 )
& ( ( sum @ n18 @ n0 )
= n18 )
& ( ( sum @ n17 @ n25 )
= n16 )
& ( ( sum @ n17 @ n24 )
= n15 )
& ( ( sum @ n17 @ n23 )
= n14 )
& ( ( sum @ n17 @ n22 )
= n13 )
& ( ( sum @ n17 @ n21 )
= n12 )
& ( ( sum @ n17 @ n20 )
= n11 )
& ( ( sum @ n17 @ n19 )
= n10 )
& ( ( sum @ n17 @ n18 )
= n9 )
& ( ( sum @ n17 @ n17 )
= n8 )
& ( ( sum @ n17 @ n16 )
= n7 )
& ( ( sum @ n17 @ n15 )
= n6 )
& ( ( sum @ n17 @ n14 )
= n5 )
& ( ( sum @ n17 @ n13 )
= n4 )
& ( ( sum @ n17 @ n12 )
= n3 )
& ( ( sum @ n17 @ n11 )
= n2 )
& ( ( sum @ n17 @ n10 )
= n1 )
& ( ( sum @ n17 @ n9 )
= n0 )
& ( ( sum @ n17 @ n8 )
= n25 )
& ( ( sum @ n17 @ n7 )
= n24 )
& ( ( sum @ n17 @ n6 )
= n23 )
& ( ( sum @ n17 @ n5 )
= n22 )
& ( ( sum @ n17 @ n4 )
= n21 )
& ( ( sum @ n17 @ n3 )
= n20 )
& ( ( sum @ n17 @ n2 )
= n19 )
& ( ( sum @ n17 @ n1 )
= n18 )
& ( ( sum @ n17 @ n0 )
= n17 )
& ( ( sum @ n16 @ n25 )
= n15 )
& ( ( sum @ n16 @ n24 )
= n14 )
& ( ( sum @ n16 @ n23 )
= n13 )
& ( ( sum @ n16 @ n22 )
= n12 )
& ( ( sum @ n16 @ n21 )
= n11 )
& ( ( sum @ n16 @ n20 )
= n10 )
& ( ( sum @ n16 @ n19 )
= n9 )
& ( ( sum @ n16 @ n18 )
= n8 )
& ( ( sum @ n16 @ n17 )
= n7 )
& ( ( sum @ n16 @ n16 )
= n6 )
& ( ( sum @ n16 @ n15 )
= n5 )
& ( ( sum @ n16 @ n14 )
= n4 )
& ( ( sum @ n16 @ n13 )
= n3 )
& ( ( sum @ n16 @ n12 )
= n2 )
& ( ( sum @ n16 @ n11 )
= n1 )
& ( ( sum @ n16 @ n10 )
= n0 )
& ( ( sum @ n16 @ n9 )
= n25 )
& ( ( sum @ n16 @ n8 )
= n24 )
& ( ( sum @ n16 @ n7 )
= n23 )
& ( ( sum @ n16 @ n6 )
= n22 )
& ( ( sum @ n16 @ n5 )
= n21 )
& ( ( sum @ n16 @ n4 )
= n20 )
& ( ( sum @ n16 @ n3 )
= n19 )
& ( ( sum @ n16 @ n2 )
= n18 )
& ( ( sum @ n16 @ n1 )
= n17 )
& ( ( sum @ n16 @ n0 )
= n16 )
& ( ( sum @ n15 @ n25 )
= n14 )
& ( ( sum @ n15 @ n24 )
= n13 )
& ( ( sum @ n15 @ n23 )
= n12 )
& ( ( sum @ n15 @ n22 )
= n11 )
& ( ( sum @ n15 @ n21 )
= n10 )
& ( ( sum @ n15 @ n20 )
= n9 )
& ( ( sum @ n15 @ n19 )
= n8 )
& ( ( sum @ n15 @ n18 )
= n7 )
& ( ( sum @ n15 @ n17 )
= n6 )
& ( ( sum @ n15 @ n16 )
= n5 )
& ( ( sum @ n15 @ n15 )
= n4 )
& ( ( sum @ n15 @ n14 )
= n3 )
& ( ( sum @ n15 @ n13 )
= n2 )
& ( ( sum @ n15 @ n12 )
= n1 )
& ( ( sum @ n15 @ n11 )
= n0 )
& ( ( sum @ n15 @ n10 )
= n25 )
& ( ( sum @ n15 @ n9 )
= n24 )
& ( ( sum @ n15 @ n8 )
= n23 )
& ( ( sum @ n15 @ n7 )
= n22 )
& ( ( sum @ n15 @ n6 )
= n21 )
& ( ( sum @ n15 @ n5 )
= n20 )
& ( ( sum @ n15 @ n4 )
= n19 )
& ( ( sum @ n15 @ n3 )
= n18 )
& ( ( sum @ n15 @ n2 )
= n17 )
& ( ( sum @ n15 @ n1 )
= n16 )
& ( ( sum @ n15 @ n0 )
= n15 )
& ( ( sum @ n14 @ n25 )
= n13 )
& ( ( sum @ n14 @ n24 )
= n12 )
& ( ( sum @ n14 @ n23 )
= n11 )
& ( ( sum @ n14 @ n22 )
= n10 )
& ( ( sum @ n14 @ n21 )
= n9 )
& ( ( sum @ n14 @ n20 )
= n8 )
& ( ( sum @ n14 @ n19 )
= n7 )
& ( ( sum @ n14 @ n18 )
= n6 )
& ( ( sum @ n14 @ n17 )
= n5 )
& ( ( sum @ n14 @ n16 )
= n4 )
& ( ( sum @ n14 @ n15 )
= n3 )
& ( ( sum @ n14 @ n14 )
= n2 )
& ( ( sum @ n14 @ n13 )
= n1 )
& ( ( sum @ n14 @ n12 )
= n0 )
& ( ( sum @ n14 @ n11 )
= n25 )
& ( ( sum @ n14 @ n10 )
= n24 )
& ( ( sum @ n14 @ n9 )
= n23 )
& ( ( sum @ n14 @ n8 )
= n22 )
& ( ( sum @ n14 @ n7 )
= n21 )
& ( ( sum @ n14 @ n6 )
= n20 )
& ( ( sum @ n14 @ n5 )
= n19 )
& ( ( sum @ n14 @ n4 )
= n18 )
& ( ( sum @ n14 @ n3 )
= n17 )
& ( ( sum @ n14 @ n2 )
= n16 )
& ( ( sum @ n14 @ n1 )
= n15 )
& ( ( sum @ n14 @ n0 )
= n14 )
& ( ( sum @ n13 @ n25 )
= n12 )
& ( ( sum @ n13 @ n24 )
= n11 )
& ( ( sum @ n13 @ n23 )
= n10 )
& ( ( sum @ n13 @ n22 )
= n9 )
& ( ( sum @ n13 @ n21 )
= n8 )
& ( ( sum @ n13 @ n20 )
= n7 )
& ( ( sum @ n13 @ n19 )
= n6 )
& ( ( sum @ n13 @ n18 )
= n5 )
& ( ( sum @ n13 @ n17 )
= n4 )
& ( ( sum @ n13 @ n16 )
= n3 )
& ( ( sum @ n13 @ n15 )
= n2 )
& ( ( sum @ n13 @ n14 )
= n1 )
& ( ( sum @ n13 @ n13 )
= n0 )
& ( ( sum @ n13 @ n12 )
= n25 )
& ( ( sum @ n13 @ n11 )
= n24 )
& ( ( sum @ n13 @ n10 )
= n23 )
& ( ( sum @ n13 @ n9 )
= n22 )
& ( ( sum @ n13 @ n8 )
= n21 )
& ( ( sum @ n13 @ n7 )
= n20 )
& ( ( sum @ n13 @ n6 )
= n19 )
& ( ( sum @ n13 @ n5 )
= n18 )
& ( ( sum @ n13 @ n4 )
= n17 )
& ( ( sum @ n13 @ n3 )
= n16 )
& ( ( sum @ n13 @ n2 )
= n15 )
& ( ( sum @ n13 @ n1 )
= n14 )
& ( ( sum @ n13 @ n0 )
= n13 )
& ( ( sum @ n12 @ n25 )
= n11 )
& ( ( sum @ n12 @ n24 )
= n10 )
& ( ( sum @ n12 @ n23 )
= n9 )
& ( ( sum @ n12 @ n22 )
= n8 )
& ( ( sum @ n12 @ n21 )
= n7 )
& ( ( sum @ n12 @ n20 )
= n6 )
& ( ( sum @ n12 @ n19 )
= n5 )
& ( ( sum @ n12 @ n18 )
= n4 )
& ( ( sum @ n12 @ n17 )
= n3 )
& ( ( sum @ n12 @ n16 )
= n2 )
& ( ( sum @ n12 @ n15 )
= n1 )
& ( ( sum @ n12 @ n14 )
= n0 )
& ( ( sum @ n12 @ n13 )
= n25 )
& ( ( sum @ n12 @ n12 )
= n24 )
& ( ( sum @ n12 @ n11 )
= n23 )
& ( ( sum @ n12 @ n10 )
= n22 )
& ( ( sum @ n12 @ n9 )
= n21 )
& ( ( sum @ n12 @ n8 )
= n20 )
& ( ( sum @ n12 @ n7 )
= n19 )
& ( ( sum @ n12 @ n6 )
= n18 )
& ( ( sum @ n12 @ n5 )
= n17 )
& ( ( sum @ n12 @ n4 )
= n16 )
& ( ( sum @ n12 @ n3 )
= n15 )
& ( ( sum @ n12 @ n2 )
= n14 )
& ( ( sum @ n12 @ n1 )
= n13 )
& ( ( sum @ n12 @ n0 )
= n12 )
& ( ( sum @ n11 @ n25 )
= n10 )
& ( ( sum @ n11 @ n24 )
= n9 )
& ( ( sum @ n11 @ n23 )
= n8 )
& ( ( sum @ n11 @ n22 )
= n7 )
& ( ( sum @ n11 @ n21 )
= n6 )
& ( ( sum @ n11 @ n20 )
= n5 )
& ( ( sum @ n11 @ n19 )
= n4 )
& ( ( sum @ n11 @ n18 )
= n3 )
& ( ( sum @ n11 @ n17 )
= n2 )
& ( ( sum @ n11 @ n16 )
= n1 )
& ( ( sum @ n11 @ n15 )
= n0 )
& ( ( sum @ n11 @ n14 )
= n25 )
& ( ( sum @ n11 @ n13 )
= n24 )
& ( ( sum @ n11 @ n12 )
= n23 )
& ( ( sum @ n11 @ n11 )
= n22 )
& ( ( sum @ n11 @ n10 )
= n21 )
& ( ( sum @ n11 @ n9 )
= n20 )
& ( ( sum @ n11 @ n8 )
= n19 )
& ( ( sum @ n11 @ n7 )
= n18 )
& ( ( sum @ n11 @ n6 )
= n17 )
& ( ( sum @ n11 @ n5 )
= n16 )
& ( ( sum @ n11 @ n4 )
= n15 )
& ( ( sum @ n11 @ n3 )
= n14 )
& ( ( sum @ n11 @ n2 )
= n13 )
& ( ( sum @ n11 @ n1 )
= n12 )
& ( ( sum @ n11 @ n0 )
= n11 )
& ( ( sum @ n10 @ n25 )
= n9 )
& ( ( sum @ n10 @ n24 )
= n8 )
& ( ( sum @ n10 @ n23 )
= n7 )
& ( ( sum @ n10 @ n22 )
= n6 )
& ( ( sum @ n10 @ n21 )
= n5 )
& ( ( sum @ n10 @ n20 )
= n4 )
& ( ( sum @ n10 @ n19 )
= n3 )
& ( ( sum @ n10 @ n18 )
= n2 )
& ( ( sum @ n10 @ n17 )
= n1 )
& ( ( sum @ n10 @ n16 )
= n0 )
& ( ( sum @ n10 @ n15 )
= n25 )
& ( ( sum @ n10 @ n14 )
= n24 )
& ( ( sum @ n10 @ n13 )
= n23 )
& ( ( sum @ n10 @ n12 )
= n22 )
& ( ( sum @ n10 @ n11 )
= n21 )
& ( ( sum @ n10 @ n10 )
= n20 )
& ( ( sum @ n10 @ n9 )
= n19 )
& ( ( sum @ n10 @ n8 )
= n18 )
& ( ( sum @ n10 @ n7 )
= n17 )
& ( ( sum @ n10 @ n6 )
= n16 )
& ( ( sum @ n10 @ n5 )
= n15 )
& ( ( sum @ n10 @ n4 )
= n14 )
& ( ( sum @ n10 @ n3 )
= n13 )
& ( ( sum @ n10 @ n2 )
= n12 )
& ( ( sum @ n10 @ n1 )
= n11 )
& ( ( sum @ n10 @ n0 )
= n10 )
& ( ( sum @ n9 @ n25 )
= n8 )
& ( ( sum @ n9 @ n24 )
= n7 )
& ( ( sum @ n9 @ n23 )
= n6 )
& ( ( sum @ n9 @ n22 )
= n5 )
& ( ( sum @ n9 @ n21 )
= n4 )
& ( ( sum @ n9 @ n20 )
= n3 )
& ( ( sum @ n9 @ n19 )
= n2 )
& ( ( sum @ n9 @ n18 )
= n1 )
& ( ( sum @ n9 @ n17 )
= n0 )
& ( ( sum @ n9 @ n16 )
= n25 )
& ( ( sum @ n9 @ n15 )
= n24 )
& ( ( sum @ n9 @ n14 )
= n23 )
& ( ( sum @ n9 @ n13 )
= n22 )
& ( ( sum @ n9 @ n12 )
= n21 )
& ( ( sum @ n9 @ n11 )
= n20 )
& ( ( sum @ n9 @ n10 )
= n19 )
& ( ( sum @ n9 @ n9 )
= n18 )
& ( ( sum @ n9 @ n8 )
= n17 )
& ( ( sum @ n9 @ n7 )
= n16 )
& ( ( sum @ n9 @ n6 )
= n15 )
& ( ( sum @ n9 @ n5 )
= n14 )
& ( ( sum @ n9 @ n4 )
= n13 )
& ( ( sum @ n9 @ n3 )
= n12 )
& ( ( sum @ n9 @ n2 )
= n11 )
& ( ( sum @ n9 @ n1 )
= n10 )
& ( ( sum @ n9 @ n0 )
= n9 )
& ( ( sum @ n8 @ n25 )
= n7 )
& ( ( sum @ n8 @ n24 )
= n6 )
& ( ( sum @ n8 @ n23 )
= n5 )
& ( ( sum @ n8 @ n22 )
= n4 )
& ( ( sum @ n8 @ n21 )
= n3 )
& ( ( sum @ n8 @ n20 )
= n2 )
& ( ( sum @ n8 @ n19 )
= n1 )
& ( ( sum @ n8 @ n18 )
= n0 )
& ( ( sum @ n8 @ n17 )
= n25 )
& ( ( sum @ n8 @ n16 )
= n24 )
& ( ( sum @ n8 @ n15 )
= n23 )
& ( ( sum @ n8 @ n14 )
= n22 )
& ( ( sum @ n8 @ n13 )
= n21 )
& ( ( sum @ n8 @ n12 )
= n20 )
& ( ( sum @ n8 @ n11 )
= n19 )
& ( ( sum @ n8 @ n10 )
= n18 )
& ( ( sum @ n8 @ n9 )
= n17 )
& ( ( sum @ n8 @ n8 )
= n16 )
& ( ( sum @ n8 @ n7 )
= n15 )
& ( ( sum @ n8 @ n6 )
= n14 )
& ( ( sum @ n8 @ n5 )
= n13 )
& ( ( sum @ n8 @ n4 )
= n12 )
& ( ( sum @ n8 @ n3 )
= n11 )
& ( ( sum @ n8 @ n2 )
= n10 )
& ( ( sum @ n8 @ n1 )
= n9 )
& ( ( sum @ n8 @ n0 )
= n8 )
& ( ( sum @ n7 @ n25 )
= n6 )
& ( ( sum @ n7 @ n24 )
= n5 )
& ( ( sum @ n7 @ n23 )
= n4 )
& ( ( sum @ n7 @ n22 )
= n3 )
& ( ( sum @ n7 @ n21 )
= n2 )
& ( ( sum @ n7 @ n20 )
= n1 )
& ( ( sum @ n7 @ n19 )
= n0 )
& ( ( sum @ n7 @ n18 )
= n25 )
& ( ( sum @ n7 @ n17 )
= n24 )
& ( ( sum @ n7 @ n16 )
= n23 )
& ( ( sum @ n7 @ n15 )
= n22 )
& ( ( sum @ n7 @ n14 )
= n21 )
& ( ( sum @ n7 @ n13 )
= n20 )
& ( ( sum @ n7 @ n12 )
= n19 )
& ( ( sum @ n7 @ n11 )
= n18 )
& ( ( sum @ n7 @ n10 )
= n17 )
& ( ( sum @ n7 @ n9 )
= n16 )
& ( ( sum @ n7 @ n8 )
= n15 )
& ( ( sum @ n7 @ n7 )
= n14 )
& ( ( sum @ n7 @ n6 )
= n13 )
& ( ( sum @ n7 @ n5 )
= n12 )
& ( ( sum @ n7 @ n4 )
= n11 )
& ( ( sum @ n7 @ n3 )
= n10 )
& ( ( sum @ n7 @ n2 )
= n9 )
& ( ( sum @ n7 @ n1 )
= n8 )
& ( ( sum @ n7 @ n0 )
= n7 )
& ( ( sum @ n6 @ n25 )
= n5 )
& ( ( sum @ n6 @ n24 )
= n4 )
& ( ( sum @ n6 @ n23 )
= n3 )
& ( ( sum @ n6 @ n22 )
= n2 )
& ( ( sum @ n6 @ n21 )
= n1 )
& ( ( sum @ n6 @ n20 )
= n0 )
& ( ( sum @ n6 @ n19 )
= n25 )
& ( ( sum @ n6 @ n18 )
= n24 )
& ( ( sum @ n6 @ n17 )
= n23 )
& ( ( sum @ n6 @ n16 )
= n22 )
& ( ( sum @ n6 @ n15 )
= n21 )
& ( ( sum @ n6 @ n14 )
= n20 )
& ( ( sum @ n6 @ n13 )
= n19 )
& ( ( sum @ n6 @ n12 )
= n18 )
& ( ( sum @ n6 @ n11 )
= n17 )
& ( ( sum @ n6 @ n10 )
= n16 )
& ( ( sum @ n6 @ n9 )
= n15 )
& ( ( sum @ n6 @ n8 )
= n14 )
& ( ( sum @ n6 @ n7 )
= n13 )
& ( ( sum @ n6 @ n6 )
= n12 )
& ( ( sum @ n6 @ n5 )
= n11 )
& ( ( sum @ n6 @ n4 )
= n10 )
& ( ( sum @ n6 @ n3 )
= n9 )
& ( ( sum @ n6 @ n2 )
= n8 )
& ( ( sum @ n6 @ n1 )
= n7 )
& ( ( sum @ n6 @ n0 )
= n6 )
& ( ( sum @ n5 @ n25 )
= n4 )
& ( ( sum @ n5 @ n24 )
= n3 )
& ( ( sum @ n5 @ n23 )
= n2 )
& ( ( sum @ n5 @ n22 )
= n1 )
& ( ( sum @ n5 @ n21 )
= n0 )
& ( ( sum @ n5 @ n20 )
= n25 )
& ( ( sum @ n5 @ n19 )
= n24 )
& ( ( sum @ n5 @ n18 )
= n23 )
& ( ( sum @ n5 @ n17 )
= n22 )
& ( ( sum @ n5 @ n16 )
= n21 )
& ( ( sum @ n5 @ n15 )
= n20 )
& ( ( sum @ n5 @ n14 )
= n19 )
& ( ( sum @ n5 @ n13 )
= n18 )
& ( ( sum @ n5 @ n12 )
= n17 )
& ( ( sum @ n5 @ n11 )
= n16 )
& ( ( sum @ n5 @ n10 )
= n15 )
& ( ( sum @ n5 @ n9 )
= n14 )
& ( ( sum @ n5 @ n8 )
= n13 )
& ( ( sum @ n5 @ n7 )
= n12 )
& ( ( sum @ n5 @ n6 )
= n11 )
& ( ( sum @ n5 @ n5 )
= n10 )
& ( ( sum @ n5 @ n4 )
= n9 )
& ( ( sum @ n5 @ n3 )
= n8 )
& ( ( sum @ n5 @ n2 )
= n7 )
& ( ( sum @ n5 @ n1 )
= n6 )
& ( ( sum @ n5 @ n0 )
= n5 )
& ( ( sum @ n4 @ n25 )
= n3 )
& ( ( sum @ n4 @ n24 )
= n2 )
& ( ( sum @ n4 @ n23 )
= n1 )
& ( ( sum @ n4 @ n22 )
= n0 )
& ( ( sum @ n4 @ n21 )
= n25 )
& ( ( sum @ n4 @ n20 )
= n24 )
& ( ( sum @ n4 @ n19 )
= n23 )
& ( ( sum @ n4 @ n18 )
= n22 )
& ( ( sum @ n4 @ n17 )
= n21 )
& ( ( sum @ n4 @ n16 )
= n20 )
& ( ( sum @ n4 @ n15 )
= n19 )
& ( ( sum @ n4 @ n14 )
= n18 )
& ( ( sum @ n4 @ n13 )
= n17 )
& ( ( sum @ n4 @ n12 )
= n16 )
& ( ( sum @ n4 @ n11 )
= n15 )
& ( ( sum @ n4 @ n10 )
= n14 )
& ( ( sum @ n4 @ n9 )
= n13 )
& ( ( sum @ n4 @ n8 )
= n12 )
& ( ( sum @ n4 @ n7 )
= n11 )
& ( ( sum @ n4 @ n6 )
= n10 )
& ( ( sum @ n4 @ n5 )
= n9 )
& ( ( sum @ n4 @ n4 )
= n8 )
& ( ( sum @ n4 @ n3 )
= n7 )
& ( ( sum @ n4 @ n2 )
= n6 )
& ( ( sum @ n4 @ n1 )
= n5 )
& ( ( sum @ n4 @ n0 )
= n4 )
& ( ( sum @ n3 @ n25 )
= n2 )
& ( ( sum @ n3 @ n24 )
= n1 )
& ( ( sum @ n3 @ n23 )
= n0 )
& ( ( sum @ n3 @ n22 )
= n25 )
& ( ( sum @ n3 @ n21 )
= n24 )
& ( ( sum @ n3 @ n20 )
= n23 )
& ( ( sum @ n3 @ n19 )
= n22 )
& ( ( sum @ n3 @ n18 )
= n21 )
& ( ( sum @ n3 @ n17 )
= n20 )
& ( ( sum @ n3 @ n16 )
= n19 )
& ( ( sum @ n3 @ n15 )
= n18 )
& ( ( sum @ n3 @ n14 )
= n17 )
& ( ( sum @ n3 @ n13 )
= n16 )
& ( ( sum @ n3 @ n12 )
= n15 )
& ( ( sum @ n3 @ n11 )
= n14 )
& ( ( sum @ n3 @ n10 )
= n13 )
& ( ( sum @ n3 @ n9 )
= n12 )
& ( ( sum @ n3 @ n8 )
= n11 )
& ( ( sum @ n3 @ n7 )
= n10 )
& ( ( sum @ n3 @ n6 )
= n9 )
& ( ( sum @ n3 @ n5 )
= n8 )
& ( ( sum @ n3 @ n4 )
= n7 )
& ( ( sum @ n3 @ n3 )
= n6 )
& ( ( sum @ n3 @ n2 )
= n5 )
& ( ( sum @ n3 @ n1 )
= n4 )
& ( ( sum @ n3 @ n0 )
= n3 )
& ( ( sum @ n2 @ n25 )
= n1 )
& ( ( sum @ n2 @ n24 )
= n0 )
& ( ( sum @ n2 @ n23 )
= n25 )
& ( ( sum @ n2 @ n22 )
= n24 )
& ( ( sum @ n2 @ n21 )
= n23 )
& ( ( sum @ n2 @ n20 )
= n22 )
& ( ( sum @ n2 @ n19 )
= n21 )
& ( ( sum @ n2 @ n18 )
= n20 )
& ( ( sum @ n2 @ n17 )
= n19 )
& ( ( sum @ n2 @ n16 )
= n18 )
& ( ( sum @ n2 @ n15 )
= n17 )
& ( ( sum @ n2 @ n14 )
= n16 )
& ( ( sum @ n2 @ n13 )
= n15 )
& ( ( sum @ n2 @ n12 )
= n14 )
& ( ( sum @ n2 @ n11 )
= n13 )
& ( ( sum @ n2 @ n10 )
= n12 )
& ( ( sum @ n2 @ n9 )
= n11 )
& ( ( sum @ n2 @ n8 )
= n10 )
& ( ( sum @ n2 @ n7 )
= n9 )
& ( ( sum @ n2 @ n6 )
= n8 )
& ( ( sum @ n2 @ n5 )
= n7 )
& ( ( sum @ n2 @ n4 )
= n6 )
& ( ( sum @ n2 @ n3 )
= n5 )
& ( ( sum @ n2 @ n2 )
= n4 )
& ( ( sum @ n2 @ n1 )
= n3 )
& ( ( sum @ n2 @ n0 )
= n2 )
& ( ( sum @ n1 @ n25 )
= n0 )
& ( ( sum @ n1 @ n24 )
= n25 )
& ( ( sum @ n1 @ n23 )
= n24 )
& ( ( sum @ n1 @ n22 )
= n23 )
& ( ( sum @ n1 @ n21 )
= n22 )
& ( ( sum @ n1 @ n20 )
= n21 )
& ( ( sum @ n1 @ n19 )
= n20 )
& ( ( sum @ n1 @ n18 )
= n19 )
& ( ( sum @ n1 @ n17 )
= n18 )
& ( ( sum @ n1 @ n16 )
= n17 )
& ( ( sum @ n1 @ n15 )
= n16 )
& ( ( sum @ n1 @ n14 )
= n15 )
& ( ( sum @ n1 @ n13 )
= n14 )
& ( ( sum @ n1 @ n12 )
= n13 )
& ( ( sum @ n1 @ n11 )
= n12 )
& ( ( sum @ n1 @ n10 )
= n11 )
& ( ( sum @ n1 @ n9 )
= n10 )
& ( ( sum @ n1 @ n8 )
= n9 )
& ( ( sum @ n1 @ n7 )
= n8 )
& ( ( sum @ n1 @ n6 )
= n7 )
& ( ( sum @ n1 @ n5 )
= n6 )
& ( ( sum @ n1 @ n4 )
= n5 )
& ( ( sum @ n1 @ n3 )
= n4 )
& ( ( sum @ n1 @ n2 )
= n3 )
& ( ( sum @ n1 @ n1 )
= n2 )
& ( ( sum @ n1 @ n0 )
= n1 )
& ( ( sum @ n0 @ n25 )
= n25 )
& ( ( sum @ n0 @ n24 )
= n24 )
& ( ( sum @ n0 @ n23 )
= n23 )
& ( ( sum @ n0 @ n22 )
= n22 )
& ( ( sum @ n0 @ n21 )
= n21 )
& ( ( sum @ n0 @ n20 )
= n20 )
& ( ( sum @ n0 @ n19 )
= n19 )
& ( ( sum @ n0 @ n18 )
= n18 )
& ( ( sum @ n0 @ n17 )
= n17 )
& ( ( sum @ n0 @ n16 )
= n16 )
& ( ( sum @ n0 @ n15 )
= n15 )
& ( ( sum @ n0 @ n14 )
= n14 )
& ( ( sum @ n0 @ n13 )
= n13 )
& ( ( sum @ n0 @ n12 )
= n12 )
& ( ( sum @ n0 @ n11 )
= n11 )
& ( ( sum @ n0 @ n10 )
= n10 )
& ( ( sum @ n0 @ n9 )
= n9 )
& ( ( sum @ n0 @ n8 )
= n8 )
& ( ( sum @ n0 @ n7 )
= n7 )
& ( ( sum @ n0 @ n6 )
= n6 )
& ( ( sum @ n0 @ n5 )
= n5 )
& ( ( sum @ n0 @ n4 )
= n4 )
& ( ( sum @ n0 @ n3 )
= n3 )
& ( ( sum @ n0 @ n2 )
= n2 )
& ( ( sum @ n0 @ n1 )
= n1 )
& ( ( sum @ n0 @ n0 )
= n0 )
& ( ( pred @ n25 )
= n24 )
& ( ( pred @ n24 )
= n23 )
& ( ( pred @ n23 )
= n22 )
& ( ( pred @ n22 )
= n21 )
& ( ( pred @ n21 )
= n20 )
& ( ( pred @ n20 )
= n19 )
& ( ( pred @ n19 )
= n18 )
& ( ( pred @ n18 )
= n17 )
& ( ( pred @ n17 )
= n16 )
& ( ( pred @ n16 )
= n15 )
& ( ( pred @ n15 )
= n14 )
& ( ( pred @ n14 )
= n13 )
& ( ( pred @ n13 )
= n12 )
& ( ( pred @ n12 )
= n11 )
& ( ( pred @ n11 )
= n10 )
& ( ( pred @ n10 )
= n9 )
& ( ( pred @ n9 )
= n8 )
& ( ( pred @ n8 )
= n7 )
& ( ( pred @ n7 )
= n6 )
& ( ( pred @ n6 )
= n5 )
& ( ( pred @ n5 )
= n4 )
& ( ( pred @ n4 )
= n3 )
& ( ( pred @ n3 )
= n2 )
& ( ( pred @ n2 )
= n1 )
& ( ( pred @ n1 )
= n0 )
& ( ( pred @ n0 )
= n25 )
& ( ( succ @ n25 )
= n0 )
& ( ( succ @ n24 )
= n25 )
& ( ( succ @ n23 )
= n24 )
& ( ( succ @ n22 )
= n23 )
& ( ( succ @ n21 )
= n22 )
& ( ( succ @ n20 )
= n21 )
& ( ( succ @ n19 )
= n20 )
& ( ( succ @ n18 )
= n19 )
& ( ( succ @ n17 )
= n18 )
& ( ( succ @ n16 )
= n17 )
& ( ( succ @ n15 )
= n16 )
& ( ( succ @ n14 )
= n15 )
& ( ( succ @ n13 )
= n14 )
& ( ( succ @ n12 )
= n13 )
& ( ( succ @ n11 )
= n12 )
& ( ( succ @ n10 )
= n11 )
& ( ( succ @ n9 )
= n10 )
& ( ( succ @ n8 )
= n9 )
& ( ( succ @ n7 )
= n8 )
& ( ( succ @ n6 )
= n7 )
& ( ( succ @ n5 )
= n6 )
& ( ( succ @ n4 )
= n5 )
& ( ( succ @ n3 )
= n4 )
& ( ( succ @ n2 )
= n3 )
& ( ( succ @ n1 )
= n2 )
& ( ( succ @ n0 )
= n1 ) ) ).
thf(zip_derived_cl755,plain,
( ( sk_ = n25 )
| ( sk_ = n24 )
| ( sk_ = n23 )
| ( sk_ = n22 )
| ( sk_ = n21 )
| ( sk_ = n20 )
| ( sk_ = n19 )
| ( sk_ = n18 )
| ( sk_ = n17 )
| ( sk_ = n16 )
| ( sk_ = n15 )
| ( sk_ = n14 )
| ( sk_ = n13 )
| ( sk_ = n12 )
| ( sk_ = n11 )
| ( sk_ = n10 )
| ( sk_ = n9 )
| ( sk_ = n8 )
| ( sk_ = n7 )
| ( sk_ = n6 )
| ( sk_ = n5 )
| ( sk_ = n4 )
| ( sk_ = n3 )
| ( sk_ = n2 )
| ( sk_ = n1 )
| ( sk_ = n0 ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl38,plain,
( ( succ @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl756,plain,
( ( sk__1 = n25 )
| ( sk__1 = n24 )
| ( sk__1 = n23 )
| ( sk__1 = n22 )
| ( sk__1 = n21 )
| ( sk__1 = n20 )
| ( sk__1 = n19 )
| ( sk__1 = n18 )
| ( sk__1 = n17 )
| ( sk__1 = n16 )
| ( sk__1 = n15 )
| ( sk__1 = n14 )
| ( sk__1 = n13 )
| ( sk__1 = n12 )
| ( sk__1 = n11 )
| ( sk__1 = n10 )
| ( sk__1 = n9 )
| ( sk__1 = n8 )
| ( sk__1 = n7 )
| ( sk__1 = n6 )
| ( sk__1 = n5 )
| ( sk__1 = n4 )
| ( sk__1 = n3 )
| ( sk__1 = n2 )
| ( sk__1 = n1 )
| ( sk__1 = n0 ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1119,plain,
( ( sk__1 = n11 )
<= ( sk__1 = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26,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_cl1573,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_cl1119,zip_derived_cl26]) ).
thf(zip_derived_cl4768,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4780,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_cl1093,zip_derived_cl4768]) ).
thf(zip_derived_cl377,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386,plain,
( ( sum @ n11 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12306,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n11 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4780,zip_derived_cl377,zip_derived_cl76,zip_derived_cl376,zip_derived_cl75,zip_derived_cl386,zip_derived_cl657]) ).
thf(zip_derived_cl23,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('0',plain,
( ( sk__1 != n11 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12306,zip_derived_cl23]) ).
thf(zip_derived_cl1105,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1133,plain,
( ( sk__1 = n25 )
<= ( sk__1 = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_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_cl1928,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_cl1133,zip_derived_cl26]) ).
thf(zip_derived_cl52,plain,
( ( succ @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6998,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7022,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n23 @ n25 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1105,zip_derived_cl6998]) ).
thf(zip_derived_cl677,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_002,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_003,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl750,plain,
( ( sum @ n25 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl671,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14898,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n23 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7022,zip_derived_cl677,zip_derived_cl76,zip_derived_cl702,zip_derived_cl75,zip_derived_cl750,zip_derived_cl671]) ).
thf(zip_derived_cl9,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('1',plain,
( ( sk_ != n23 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14898,zip_derived_cl9]) ).
thf(zip_derived_cl1105_004,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1132,plain,
( ( sk__1 = n24 )
<= ( sk__1 = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_005,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_cl1899,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_cl1132,zip_derived_cl26]) ).
thf(zip_derived_cl51,plain,
( ( succ @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6920,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6944,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_cl1105,zip_derived_cl6920]) ).
thf(zip_derived_cl702_006,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_007,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl701,plain,
( ( sum @ n23 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643,plain,
( ( sum @ n21 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14784,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n23 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6944,zip_derived_cl702,zip_derived_cl75,zip_derived_cl701,zip_derived_cl74,zip_derived_cl723,zip_derived_cl643]) ).
thf(zip_derived_cl12,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('2',plain,
( ( sk_ != n23 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14784,zip_derived_cl12]) ).
thf(zip_derived_cl1105_008,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1131,plain,
( ( sk__1 = n23 )
<= ( sk__1 = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_009,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_cl1873,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_cl1131,zip_derived_cl26]) ).
thf(zip_derived_cl50,plain,
( ( succ @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6865,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6889,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_cl1105,zip_derived_cl6865]) ).
thf(zip_derived_cl701_010,plain,
( ( sum @ n23 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_011,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl700,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696,plain,
( ( sum @ n23 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14670,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n23 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6889,zip_derived_cl701,zip_derived_cl74,zip_derived_cl700,zip_derived_cl73,zip_derived_cl696,zip_derived_cl615]) ).
thf(zip_derived_cl15,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('3',plain,
( ( sk_ != n23 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14670,zip_derived_cl15]) ).
thf(zip_derived_cl1105_012,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1130,plain,
( ( sk__1 = n22 )
<= ( sk__1 = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_013,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_cl1848,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_cl1130,zip_derived_cl26]) ).
thf(zip_derived_cl49,plain,
( ( succ @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6810,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6834,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_cl1105,zip_derived_cl6810]) ).
thf(zip_derived_cl700_014,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_015,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl699,plain,
( ( sum @ n23 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl669,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587,plain,
( ( sum @ n19 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14554,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n23 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6834,zip_derived_cl700,zip_derived_cl73,zip_derived_cl699,zip_derived_cl72,zip_derived_cl669,zip_derived_cl587]) ).
thf(zip_derived_cl18,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('4',plain,
( ( sk_ != n23 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14554,zip_derived_cl18]) ).
thf(zip_derived_cl1105_016,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1129,plain,
( ( sk__1 = n21 )
<= ( sk__1 = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_017,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_cl1824,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_cl1129,zip_derived_cl26]) ).
thf(zip_derived_cl48,plain,
( ( succ @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6731,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6755,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_cl1105,zip_derived_cl6731]) ).
thf(zip_derived_cl699_018,plain,
( ( sum @ n23 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_019,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698,plain,
( ( sum @ n23 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642,plain,
( ( sum @ n21 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14440,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n23 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6755,zip_derived_cl699,zip_derived_cl72,zip_derived_cl698,zip_derived_cl71,zip_derived_cl642,zip_derived_cl559]) ).
thf(zip_derived_cl21,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('5',plain,
( ( sk_ != n23 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14440,zip_derived_cl21]) ).
thf(zip_derived_cl1105_020,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1128,plain,
( ( sk__1 = n20 )
<= ( sk__1 = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_021,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_cl1801,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_cl1128,zip_derived_cl26]) ).
thf(zip_derived_cl47,plain,
( ( succ @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6674,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6698,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_cl1105,zip_derived_cl6674]) ).
thf(zip_derived_cl698_022,plain,
( ( sum @ n23 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_023,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697,plain,
( ( sum @ n23 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615_024,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531,plain,
( ( sum @ n17 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14326,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n23 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6698,zip_derived_cl698,zip_derived_cl71,zip_derived_cl697,zip_derived_cl70,zip_derived_cl615,zip_derived_cl531]) ).
thf(zip_derived_cl24,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('6',plain,
( ( sk_ != n23 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14326,zip_derived_cl24]) ).
thf(zip_derived_cl1105_025,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1127,plain,
( ( sk__1 = n19 )
<= ( sk__1 = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_026,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_cl1779,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_cl1127,zip_derived_cl26]) ).
thf(zip_derived_cl46,plain,
( ( succ @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6616,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6640,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_cl1105,zip_derived_cl6616]) ).
thf(zip_derived_cl697_027,plain,
( ( sum @ n23 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_028,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_029,plain,
( ( sum @ n23 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588,plain,
( ( sum @ n19 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14212,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n23 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6640,zip_derived_cl697,zip_derived_cl70,zip_derived_cl696,zip_derived_cl69,zip_derived_cl588,zip_derived_cl503]) ).
thf(zip_derived_cl1,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('7',plain,
( ( sk_ != n23 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14212,zip_derived_cl1]) ).
thf(zip_derived_cl1105_030,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1126,plain,
( ( sk__1 = n18 )
<= ( sk__1 = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_031,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_cl1758,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_cl1126,zip_derived_cl26]) ).
thf(zip_derived_cl45,plain,
( ( succ @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6561,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6585,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_cl1105,zip_derived_cl6561]) ).
thf(zip_derived_cl696_032,plain,
( ( sum @ n23 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_033,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl695,plain,
( ( sum @ n23 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14098,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n23 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6585,zip_derived_cl696,zip_derived_cl69,zip_derived_cl695,zip_derived_cl68,zip_derived_cl561,zip_derived_cl475]) ).
thf(zip_derived_cl4,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('8',plain,
( ( sk__1 != n18 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14098,zip_derived_cl4]) ).
thf(zip_derived_cl1105_034,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1125,plain,
( ( sk__1 = n17 )
<= ( sk__1 = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_035,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_cl1738,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_cl1125,zip_derived_cl26]) ).
thf(zip_derived_cl44,plain,
( ( succ @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6501,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6525,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_cl1105,zip_derived_cl6501]) ).
thf(zip_derived_cl695_036,plain,
( ( sum @ n23 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_037,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl694,plain,
( ( sum @ n23 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534,plain,
( ( sum @ n17 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13982,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n23 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6525,zip_derived_cl695,zip_derived_cl68,zip_derived_cl694,zip_derived_cl67,zip_derived_cl534,zip_derived_cl447]) ).
thf(zip_derived_cl7,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('9',plain,
( ( sk_ != n23 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13982,zip_derived_cl7]) ).
thf(zip_derived_cl1105_038,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1124,plain,
( ( sk__1 = n16 )
<= ( sk__1 = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_039,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_cl1708,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_cl1124,zip_derived_cl26]) ).
thf(zip_derived_cl43,plain,
( ( succ @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6463,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_cl1105,zip_derived_cl6439]) ).
thf(zip_derived_cl694_040,plain,
( ( sum @ n23 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_041,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl693,plain,
( ( sum @ n23 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13868,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n23 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6463,zip_derived_cl694,zip_derived_cl67,zip_derived_cl693,zip_derived_cl66,zip_derived_cl507,zip_derived_cl419]) ).
thf(zip_derived_cl10,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('10',plain,
( ( sk_ != n23 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13868,zip_derived_cl10]) ).
thf(zip_derived_cl1105_042,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1123,plain,
( ( sk__1 = n15 )
<= ( sk__1 = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_043,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_cl1690,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_cl1123,zip_derived_cl26]) ).
thf(zip_derived_cl42,plain,
( ( succ @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6384,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6408,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_cl1105,zip_derived_cl6384]) ).
thf(zip_derived_cl693_044,plain,
( ( sum @ n23 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_045,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl692,plain,
( ( sum @ n23 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480,plain,
( ( sum @ n15 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13754,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n23 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6408,zip_derived_cl693,zip_derived_cl66,zip_derived_cl692,zip_derived_cl65,zip_derived_cl480,zip_derived_cl391]) ).
thf(zip_derived_cl13,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('11',plain,
( ( sk_ != n23 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13754,zip_derived_cl13]) ).
thf(zip_derived_cl1105_046,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1122,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_047,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_cl1673,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_cl1122,zip_derived_cl26]) ).
thf(zip_derived_cl41,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6329,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6353,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n23 @ n14 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1105,zip_derived_cl6329]) ).
thf(zip_derived_cl692_048,plain,
( ( sum @ n23 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_049,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl691,plain,
( ( sum @ n23 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389,plain,
( ( sum @ n11 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13640,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n23 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6353,zip_derived_cl692,zip_derived_cl65,zip_derived_cl691,zip_derived_cl64,zip_derived_cl453,zip_derived_cl389]) ).
thf(zip_derived_cl16,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('12',plain,
( ( sk_ != n23 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13640,zip_derived_cl16]) ).
thf(zip_derived_cl1121,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl1105_050,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl26_051,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_cl1598,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_cl1105,zip_derived_cl26]) ).
thf(zip_derived_cl5837,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_cl1121,zip_derived_cl1598]) ).
thf(zip_derived_cl40,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5915,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_cl5837,zip_derived_cl40]) ).
thf(zip_derived_cl691_052,plain,
( ( sum @ n23 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_053,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl690,plain,
( ( sum @ n23 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13220,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n23 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5915,zip_derived_cl691,zip_derived_cl64,zip_derived_cl690,zip_derived_cl63,zip_derived_cl426,zip_derived_cl361]) ).
thf(zip_derived_cl19,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('13',plain,
( ( sk_ != n23 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13220,zip_derived_cl19]) ).
thf(zip_derived_cl1105_054,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl39,plain,
( ( succ @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1120,plain,
( ( sk__1 = n12 )
<= ( sk__1 = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_055,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_cl1574,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_cl1120,zip_derived_cl26]) ).
thf(zip_derived_cl5176,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5200,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n23 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n23 @ n12 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1105,zip_derived_cl5176]) ).
thf(zip_derived_cl690_056,plain,
( ( sum @ n23 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_057,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl689,plain,
( ( sum @ n23 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333,plain,
( ( sum @ n9 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12684,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n23 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5200,zip_derived_cl690,zip_derived_cl63,zip_derived_cl689,zip_derived_cl62,zip_derived_cl399,zip_derived_cl333]) ).
thf(zip_derived_cl22,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('14',plain,
( ( sk_ != n23 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12684,zip_derived_cl22]) ).
thf(zip_derived_cl1105_058,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_059,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4792,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_cl1105,zip_derived_cl4768]) ).
thf(zip_derived_cl689_060,plain,
( ( sum @ n23 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_061,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl688,plain,
( ( sum @ n23 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12332,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n23 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4792,zip_derived_cl689,zip_derived_cl62,zip_derived_cl688,zip_derived_cl61,zip_derived_cl372,zip_derived_cl305]) ).
thf(zip_derived_cl25,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('15',plain,
( ( sk__1 != n11 )
| ( sk_ != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12332,zip_derived_cl25]) ).
thf(zip_derived_cl680,plain,
( ( sum @ n23 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_062,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1110,plain,
( ( sk__1 = n2 )
<= ( sk__1 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_063,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_cl1564,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_cl1110,zip_derived_cl26]) ).
thf(zip_derived_cl29,plain,
( ( succ @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2064,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2089,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_cl1105,zip_derived_cl2064]) ).
thf(zip_derived_cl11564,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n2 @ ( pred @ ( sum @ n23 @ n2 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl680,zip_derived_cl2089]) ).
thf(zip_derived_cl53,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11568,plain,
( ( sk__2
= ( sum @ n25 @ n0 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11564,zip_derived_cl53,zip_derived_cl679,zip_derived_cl78,zip_derived_cl155]) ).
thf(zip_derived_cl729,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11941,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n23 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11568,zip_derived_cl729]) ).
thf(zip_derived_cl0,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('16',plain,
( ( sk_ != n23 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11941,zip_derived_cl0]) ).
thf(zip_derived_cl679_064,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_065,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1109,plain,
( ( sk__1 = n1 )
<= ( sk__1 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_066,plain,
( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ ( succ @ sk__1 ) ) ) @ ( sum @ sk__1 @ ( pred @ ( sum @ sk_ @ sk__1 ) ) ) ) ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1563,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_cl1109,zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
( ( succ @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2009,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2033,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_cl1105,zip_derived_cl2009]) ).
thf(zip_derived_cl11556,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n1 @ ( pred @ ( sum @ n23 @ n1 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl679,zip_derived_cl2033]) ).
thf(zip_derived_cl78_067,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11561,plain,
( ( sk__2
= ( sum @ n24 @ n24 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11556,zip_derived_cl78,zip_derived_cl678,zip_derived_cl77,zip_derived_cl128]) ).
thf(zip_derived_cl727,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11922,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n23 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11561,zip_derived_cl727]) ).
thf(zip_derived_cl3,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('17',plain,
( ( sk_ != n23 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11922,zip_derived_cl3]) ).
thf(zip_derived_cl1105_068,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl37,plain,
( ( succ @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1118,plain,
( ( sk__1 = n10 )
<= ( sk__1 = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_069,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_cl1572,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_cl1118,zip_derived_cl26]) ).
thf(zip_derived_cl4365,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4389,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_cl1105,zip_derived_cl4365]) ).
thf(zip_derived_cl688_070,plain,
( ( sum @ n23 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_071,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl687,plain,
( ( sum @ n23 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11902,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n23 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4389,zip_derived_cl688,zip_derived_cl61,zip_derived_cl687,zip_derived_cl60,zip_derived_cl345,zip_derived_cl277]) ).
thf(zip_derived_cl2,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('18',plain,
( ( sk_ != n23 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11902,zip_derived_cl2]) ).
thf(zip_derived_cl678_072,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_073,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1108,plain,
( ( sk__1 = n0 )
<= ( sk__1 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_074,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_cl1562,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_cl1108,zip_derived_cl26]) ).
thf(zip_derived_cl27,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1956,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1980,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_cl1105,zip_derived_cl1956]) ).
thf(zip_derived_cl11545,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n0 @ ( pred @ ( sum @ n23 @ n0 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl678,zip_derived_cl1980]) ).
thf(zip_derived_cl77_075,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_076,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_077,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11550,plain,
( ( sk__2
= ( sum @ n23 @ n22 ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11545,zip_derived_cl77,zip_derived_cl677,zip_derived_cl76,zip_derived_cl101]) ).
thf(zip_derived_cl699_078,plain,
( ( sum @ n23 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11704,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n23 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11550,zip_derived_cl699]) ).
thf(zip_derived_cl6,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('19',plain,
( ( sk_ != n23 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11704,zip_derived_cl6]) ).
thf(zip_derived_cl687_079,plain,
( ( sum @ n23 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_080,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl36,plain,
( ( succ @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1117,plain,
( ( sk__1 = n9 )
<= ( sk__1 = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_081,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_cl1571,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_cl1117,zip_derived_cl26]) ).
thf(zip_derived_cl3988,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4012,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_cl1105,zip_derived_cl3988]) ).
thf(zip_derived_cl11638,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n9 @ ( pred @ ( sum @ n23 @ n9 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl687,zip_derived_cl4012]) ).
thf(zip_derived_cl60_082,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl686,plain,
( ( sum @ n23 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11640,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n23 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11638,zip_derived_cl60,zip_derived_cl686,zip_derived_cl59,zip_derived_cl318,zip_derived_cl249]) ).
thf(zip_derived_cl5,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('20',plain,
( ( sk_ != n23 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11640,zip_derived_cl5]) ).
thf(zip_derived_cl686_083,plain,
( ( sum @ n23 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_084,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl35,plain,
( ( succ @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1116,plain,
( ( sk__1 = n8 )
<= ( sk__1 = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_085,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_cl1570,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_cl1116,zip_derived_cl26]) ).
thf(zip_derived_cl3620,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3644,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_cl1105,zip_derived_cl3620]) ).
thf(zip_derived_cl11626,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n8 @ ( pred @ ( sum @ n23 @ n8 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl686,zip_derived_cl3644]) ).
thf(zip_derived_cl59_086,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl685,plain,
( ( sum @ n23 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11629,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n23 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11626,zip_derived_cl59,zip_derived_cl685,zip_derived_cl58,zip_derived_cl291,zip_derived_cl221]) ).
thf(zip_derived_cl8,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('21',plain,
( ( sk_ != n23 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11629,zip_derived_cl8]) ).
thf(zip_derived_cl685_087,plain,
( ( sum @ n23 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_088,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl34,plain,
( ( succ @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1115,plain,
( ( sk__1 = n7 )
<= ( sk__1 = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_089,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_cl1569,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_cl1115,zip_derived_cl26]) ).
thf(zip_derived_cl3238,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3262,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_cl1105,zip_derived_cl3238]) ).
thf(zip_derived_cl11616,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n7 @ ( pred @ ( sum @ n23 @ n7 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl685,zip_derived_cl3262]) ).
thf(zip_derived_cl58_090,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684,plain,
( ( sum @ n23 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11619,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n23 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11616,zip_derived_cl58,zip_derived_cl684,zip_derived_cl57,zip_derived_cl264,zip_derived_cl193]) ).
thf(zip_derived_cl11,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('22',plain,
( ( sk_ != n23 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11619,zip_derived_cl11]) ).
thf(zip_derived_cl684_091,plain,
( ( sum @ n23 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_092,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl33,plain,
( ( succ @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1114,plain,
( ( sk__1 = n6 )
<= ( sk__1 = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_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_cl1568,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_cl1114,zip_derived_cl26]) ).
thf(zip_derived_cl2877,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2901,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_cl1105,zip_derived_cl2877]) ).
thf(zip_derived_cl11604,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n6 @ ( pred @ ( sum @ n23 @ n6 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl684,zip_derived_cl2901]) ).
thf(zip_derived_cl57_094,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl683,plain,
( ( sum @ n23 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11607,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n23 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11604,zip_derived_cl57,zip_derived_cl683,zip_derived_cl56,zip_derived_cl237,zip_derived_cl165]) ).
thf(zip_derived_cl14,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('23',plain,
( ( sk_ != n23 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11607,zip_derived_cl14]) ).
thf(zip_derived_cl683_095,plain,
( ( sum @ n23 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_096,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl32,plain,
( ( succ @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1113,plain,
( ( sk__1 = n5 )
<= ( sk__1 = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_097,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_cl1567,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_cl1113,zip_derived_cl26]) ).
thf(zip_derived_cl2639,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2675,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_cl1105,zip_derived_cl2639]) ).
thf(zip_derived_cl11594,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n5 @ ( pred @ ( sum @ n23 @ n5 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl683,zip_derived_cl2675]) ).
thf(zip_derived_cl56_098,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682,plain,
( ( sum @ n23 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11597,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n23 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11594,zip_derived_cl56,zip_derived_cl682,zip_derived_cl55,zip_derived_cl210,zip_derived_cl137]) ).
thf(zip_derived_cl17,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('24',plain,
( ( sk_ != n23 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11597,zip_derived_cl17]) ).
thf(zip_derived_cl682_099,plain,
( ( sum @ n23 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_100,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl31,plain,
( ( succ @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1112,plain,
( ( sk__1 = n4 )
<= ( sk__1 = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_101,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_cl1566,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_cl1112,zip_derived_cl26]) ).
thf(zip_derived_cl2399,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2432,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_cl1105,zip_derived_cl2399]) ).
thf(zip_derived_cl11585,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n4 @ ( pred @ ( sum @ n23 @ n4 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl682,zip_derived_cl2432]) ).
thf(zip_derived_cl55_102,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl681,plain,
( ( sum @ n23 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11589,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n23 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11585,zip_derived_cl55,zip_derived_cl681,zip_derived_cl54,zip_derived_cl183,zip_derived_cl109]) ).
thf(zip_derived_cl20,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('25',plain,
( ( sk_ != n23 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11589,zip_derived_cl20]) ).
thf(zip_derived_cl681_103,plain,
( ( sum @ n23 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1105_104,plain,
( ( sk_ = n23 )
<= ( sk_ = n23 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1111,plain,
( ( sk__1 = n3 )
<= ( sk__1 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_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_cl1565,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_cl1111,zip_derived_cl26]) ).
thf(zip_derived_cl30,plain,
( ( succ @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl2132,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2158,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_cl1105,zip_derived_cl2132]) ).
thf(zip_derived_cl11575,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n3 @ ( pred @ ( sum @ n23 @ n3 ) ) ) ) )
<= ( ( sk_ = n23 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl681,zip_derived_cl2158]) ).
thf(zip_derived_cl54_106,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680_107,plain,
( ( sum @ n23 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_108,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182,plain,
( ( sum @ n3 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11580,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n23 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11575,zip_derived_cl54,zip_derived_cl680,zip_derived_cl53,zip_derived_cl182,zip_derived_cl81]) ).
thf(zip_derived_cl23_109,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('26',plain,
( ( sk_ != n23 )
| ( sk__1 != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11580,zip_derived_cl23]) ).
thf(zip_derived_cl733,plain,
( ( sum @ n25 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_110,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2160,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_cl1107,zip_derived_cl2132]) ).
thf(zip_derived_cl11979,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n3 @ ( pred @ ( sum @ n25 @ n3 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl2160]) ).
thf(zip_derived_cl56_111,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732,plain,
( ( sum @ n25 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_112,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11984,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n25 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11979,zip_derived_cl56,zip_derived_cl732,zip_derived_cl55,zip_derived_cl158,zip_derived_cl135]) ).
thf(zip_derived_cl19_113,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('27',plain,
( ( sk__1 != n3 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11984,zip_derived_cl19]) ).
thf(zip_derived_cl655,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_114,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2157,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_cl1104,zip_derived_cl2132]) ).
thf(zip_derived_cl11379,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n3 @ ( pred @ ( sum @ n22 @ n3 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl655,zip_derived_cl2157]) ).
thf(zip_derived_cl53_115,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_116,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181,plain,
( ( sum @ n3 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11383,plain,
( ( sk__2
= ( sum @ n25 @ n1 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11379,zip_derived_cl53,zip_derived_cl654,zip_derived_cl78,zip_derived_cl181]) ).
thf(zip_derived_cl730,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11950,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n22 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11383,zip_derived_cl730]) ).
thf(zip_derived_cl25_117,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('28',plain,
( ( sk__1 != n3 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11950,zip_derived_cl25]) ).
thf(zip_derived_cl707,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_118,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2159,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_cl1106,zip_derived_cl2132]) ).
thf(zip_derived_cl11778,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n3 @ ( pred @ ( sum @ n24 @ n3 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl707,zip_derived_cl2159]) ).
thf(zip_derived_cl55_119,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706,plain,
( ( sum @ n24 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_120,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11783,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n24 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11778,zip_derived_cl55,zip_derived_cl706,zip_derived_cl54,zip_derived_cl157,zip_derived_cl108]) ).
thf(zip_derived_cl21_121,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('29',plain,
( ( sk__1 != n3 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11783,zip_derived_cl21]) ).
thf(zip_derived_cl629,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_122,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2156,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_cl1103,zip_derived_cl2132]) ).
thf(zip_derived_cl11192,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n3 @ ( pred @ ( sum @ n21 @ n3 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl629,zip_derived_cl2156]) ).
thf(zip_derived_cl78_123,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_124,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180,plain,
( ( sum @ n3 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11195,plain,
( ( sk__2
= ( sum @ n24 @ n0 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11192,zip_derived_cl78,zip_derived_cl628,zip_derived_cl77,zip_derived_cl180]) ).
thf(zip_derived_cl703,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11741,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n21 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11195,zip_derived_cl703]) ).
thf(zip_derived_cl1_125,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('30',plain,
( ( sk__1 != n3 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11741,zip_derived_cl1]) ).
thf(zip_derived_cl603,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_126,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2155,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_cl1102,zip_derived_cl2132]) ).
thf(zip_derived_cl11010,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n3 @ ( pred @ ( sum @ n20 @ n3 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl603,zip_derived_cl2155]) ).
thf(zip_derived_cl77_127,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_128,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11012,plain,
( ( sk__2
= ( sum @ n23 @ n25 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11010,zip_derived_cl77,zip_derived_cl602,zip_derived_cl76,zip_derived_cl179]) ).
thf(zip_derived_cl702_129,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11730,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n20 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11012,zip_derived_cl702]) ).
thf(zip_derived_cl3_130,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('31',plain,
( ( sk__1 != n3 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11730,zip_derived_cl3]) ).
thf(zip_derived_cl577,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_131,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2154,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_cl1101,zip_derived_cl2132]) ).
thf(zip_derived_cl10866,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n3 @ ( pred @ ( sum @ n19 @ n3 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl577,zip_derived_cl2154]) ).
thf(zip_derived_cl76_132,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_133,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10868,plain,
( ( sk__2
= ( sum @ n22 @ n24 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10866,zip_derived_cl76,zip_derived_cl576,zip_derived_cl75,zip_derived_cl178]) ).
thf(zip_derived_cl675,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11520,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n19 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10868,zip_derived_cl675]) ).
thf(zip_derived_cl5_134,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('32',plain,
( ( sk__1 != n3 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11520,zip_derived_cl5]) ).
thf(zip_derived_cl551,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_135,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2153,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_cl1100,zip_derived_cl2132]) ).
thf(zip_derived_cl10699,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n3 @ ( pred @ ( sum @ n18 @ n3 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl551,zip_derived_cl2153]) ).
thf(zip_derived_cl75_136,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_137,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10701,plain,
( ( sk__2
= ( sum @ n21 @ n23 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10699,zip_derived_cl75,zip_derived_cl550,zip_derived_cl74,zip_derived_cl177]) ).
thf(zip_derived_cl648,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11330,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n18 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10701,zip_derived_cl648]) ).
thf(zip_derived_cl7_138,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('33',plain,
( ( sk__1 != n3 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11330,zip_derived_cl7]) ).
thf(zip_derived_cl525,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_139,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2152,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_cl1099,zip_derived_cl2132]) ).
thf(zip_derived_cl10557,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n3 @ ( pred @ ( sum @ n17 @ n3 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl525,zip_derived_cl2152]) ).
thf(zip_derived_cl74_140,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_141,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10559,plain,
( ( sk__2
= ( sum @ n20 @ n22 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10557,zip_derived_cl74,zip_derived_cl524,zip_derived_cl73,zip_derived_cl176]) ).
thf(zip_derived_cl621,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11120,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n17 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10559,zip_derived_cl621]) ).
thf(zip_derived_cl9_142,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('34',plain,
( ( sk__1 != n3 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11120,zip_derived_cl9]) ).
thf(zip_derived_cl499,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_143,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2151,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_cl1098,zip_derived_cl2132]) ).
thf(zip_derived_cl10418,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n3 @ ( pred @ ( sum @ n16 @ n3 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl499,zip_derived_cl2151]) ).
thf(zip_derived_cl73_144,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_145,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10420,plain,
( ( sk__2
= ( sum @ n19 @ n21 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10418,zip_derived_cl73,zip_derived_cl498,zip_derived_cl72,zip_derived_cl175]) ).
thf(zip_derived_cl594,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10943,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n16 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10420,zip_derived_cl594]) ).
thf(zip_derived_cl11_146,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('35',plain,
( ( sk__1 != n3 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10943,zip_derived_cl11]) ).
thf(zip_derived_cl473,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_147,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2150,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_cl1097,zip_derived_cl2132]) ).
thf(zip_derived_cl10282,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n3 @ ( pred @ ( sum @ n15 @ n3 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl473,zip_derived_cl2150]) ).
thf(zip_derived_cl72_148,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_149,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10285,plain,
( ( sk__2
= ( sum @ n18 @ n20 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10282,zip_derived_cl72,zip_derived_cl472,zip_derived_cl71,zip_derived_cl174]) ).
thf(zip_derived_cl567,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10795,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n15 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10285,zip_derived_cl567]) ).
thf(zip_derived_cl13_150,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('36',plain,
( ( sk__1 != n3 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10795,zip_derived_cl13]) ).
thf(zip_derived_cl447_151,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_152,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2149,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_cl1096,zip_derived_cl2132]) ).
thf(zip_derived_cl10170,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n3 @ ( pred @ ( sum @ n14 @ n3 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl447,zip_derived_cl2149]) ).
thf(zip_derived_cl71_153,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_154,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10173,plain,
( ( sk__2
= ( sum @ n17 @ n19 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10170,zip_derived_cl71,zip_derived_cl446,zip_derived_cl70,zip_derived_cl173]) ).
thf(zip_derived_cl540,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10620,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n14 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10173,zip_derived_cl540]) ).
thf(zip_derived_cl15_155,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('37',plain,
( ( sk__1 != n3 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10620,zip_derived_cl15]) ).
thf(zip_derived_cl421,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_156,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2148,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_cl1095,zip_derived_cl2132]) ).
thf(zip_derived_cl10087,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n3 @ ( pred @ ( sum @ n13 @ n3 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl421,zip_derived_cl2148]) ).
thf(zip_derived_cl70_157,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_158,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10089,plain,
( ( sk__2
= ( sum @ n16 @ n18 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10087,zip_derived_cl70,zip_derived_cl420,zip_derived_cl69,zip_derived_cl172]) ).
thf(zip_derived_cl513,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10499,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n13 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10089,zip_derived_cl513]) ).
thf(zip_derived_cl17_159,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('38',plain,
( ( sk__1 != n3 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10499,zip_derived_cl17]) ).
thf(zip_derived_cl1094,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_160,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2147,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_cl1094,zip_derived_cl2132]) ).
thf(zip_derived_cl395,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_161,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_162,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10014,plain,
( ( sk__2
= ( sum @ n15 @ n17 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2147,zip_derived_cl395,zip_derived_cl69,zip_derived_cl394,zip_derived_cl68,zip_derived_cl171]) ).
thf(zip_derived_cl486,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10331,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n12 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10014,zip_derived_cl486]) ).
thf(zip_derived_cl19_163,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('39',plain,
( ( sk__1 != n3 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10331,zip_derived_cl19]) ).
thf(zip_derived_cl1093_164,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_165,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2146,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_cl1093,zip_derived_cl2132]) ).
thf(zip_derived_cl369,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_166,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_167,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10013,plain,
( ( sk__2
= ( sum @ n14 @ n16 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2146,zip_derived_cl369,zip_derived_cl68,zip_derived_cl368,zip_derived_cl67,zip_derived_cl170]) ).
thf(zip_derived_cl459,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10218,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n11 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10013,zip_derived_cl459]) ).
thf(zip_derived_cl21_168,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('40',plain,
( ( sk__1 != n3 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10218,zip_derived_cl21]) ).
thf(zip_derived_cl1092,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_169,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2145,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_cl1092,zip_derived_cl2132]) ).
thf(zip_derived_cl343,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_170,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_171,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10012,plain,
( ( sk__2
= ( sum @ n13 @ n15 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2145,zip_derived_cl343,zip_derived_cl67,zip_derived_cl342,zip_derived_cl66,zip_derived_cl169]) ).
thf(zip_derived_cl432,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10125,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n10 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10012,zip_derived_cl432]) ).
thf(zip_derived_cl23_172,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('41',plain,
( ( sk__1 != n3 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10125,zip_derived_cl23]) ).
thf(zip_derived_cl1091,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_173,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2144,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_cl1091,zip_derived_cl2132]) ).
thf(zip_derived_cl317,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_174,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_175,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10011,plain,
( ( sk__2
= ( sum @ n12 @ n14 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2144,zip_derived_cl317,zip_derived_cl66,zip_derived_cl316,zip_derived_cl65,zip_derived_cl168]) ).
thf(zip_derived_cl405,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10035,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n9 )
& ( sk__1 = n3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10011,zip_derived_cl405]) ).
thf(zip_derived_cl25_176,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('42',plain,
( ( sk__1 != n3 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10035,zip_derived_cl25]) ).
thf(zip_derived_cl1090,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_177,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2143,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_cl1090,zip_derived_cl2132]) ).
thf(zip_derived_cl291_178,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_179,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_180,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10009,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n8 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2143,zip_derived_cl291,zip_derived_cl65,zip_derived_cl290,zip_derived_cl64,zip_derived_cl167,zip_derived_cl378]) ).
thf(zip_derived_cl1_181,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('43',plain,
( ( sk__1 != n3 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10009,zip_derived_cl1]) ).
thf(zip_derived_cl1089,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_182,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2142,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_cl1089,zip_derived_cl2132]) ).
thf(zip_derived_cl265,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_183,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_184,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_185,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10007,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n7 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2142,zip_derived_cl265,zip_derived_cl64,zip_derived_cl264,zip_derived_cl63,zip_derived_cl166,zip_derived_cl351]) ).
thf(zip_derived_cl3_186,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('44',plain,
( ( sk__1 != n3 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10007,zip_derived_cl3]) ).
thf(zip_derived_cl1088,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_187,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2141,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_cl1088,zip_derived_cl2132]) ).
thf(zip_derived_cl239,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_188,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_189,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_190,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10005,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n6 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl239,zip_derived_cl63,zip_derived_cl238,zip_derived_cl62,zip_derived_cl165,zip_derived_cl324]) ).
thf(zip_derived_cl5_191,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('45',plain,
( ( sk__1 != n3 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10005,zip_derived_cl5]) ).
thf(zip_derived_cl1087,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_192,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2140,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_cl1087,zip_derived_cl2132]) ).
thf(zip_derived_cl213,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_193,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_194,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10003,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n5 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl213,zip_derived_cl62,zip_derived_cl212,zip_derived_cl61,zip_derived_cl164,zip_derived_cl297]) ).
thf(zip_derived_cl7_195,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('46',plain,
( ( sk__1 != n3 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10003,zip_derived_cl7]) ).
thf(zip_derived_cl1086,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_196,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2139,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_cl1086,zip_derived_cl2132]) ).
thf(zip_derived_cl187,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_197,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_198,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9997,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n4 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2139,zip_derived_cl187,zip_derived_cl61,zip_derived_cl186,zip_derived_cl60,zip_derived_cl163,zip_derived_cl270]) ).
thf(zip_derived_cl9_199,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('47',plain,
( ( sk__1 != n3 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9997,zip_derived_cl9]) ).
thf(zip_derived_cl1085,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_200,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2138,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_cl1085,zip_derived_cl2132]) ).
thf(zip_derived_cl161,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_201,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_202,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9989,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n3 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2138,zip_derived_cl161,zip_derived_cl60,zip_derived_cl160,zip_derived_cl59,zip_derived_cl162,zip_derived_cl243]) ).
thf(zip_derived_cl11_203,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('48',plain,
( ( sk__1 != n3 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9989,zip_derived_cl11]) ).
thf(zip_derived_cl1084,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_204,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2137,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_cl1084,zip_derived_cl2132]) ).
thf(zip_derived_cl135_205,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_206,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_207,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_208,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9980,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n2 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2137,zip_derived_cl135,zip_derived_cl59,zip_derived_cl134,zip_derived_cl58,zip_derived_cl161,zip_derived_cl216]) ).
thf(zip_derived_cl13_209,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('49',plain,
( ( sk__1 != n3 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9980,zip_derived_cl13]) ).
thf(zip_derived_cl1083,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_210,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2136,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_cl1083,zip_derived_cl2132]) ).
thf(zip_derived_cl109_211,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_212,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_213,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_214,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_215,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9978,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n1 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2136,zip_derived_cl109,zip_derived_cl58,zip_derived_cl108,zip_derived_cl57,zip_derived_cl160,zip_derived_cl189]) ).
thf(zip_derived_cl15_216,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('50',plain,
( ( sk__1 != n3 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9978,zip_derived_cl15]) ).
thf(zip_derived_cl1082,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2132_217,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n4 ) ) @ ( sum @ n3 @ ( pred @ ( sum @ sk_ @ n3 ) ) ) ) )
<= ( sk__1 = n3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1565,zip_derived_cl30]) ).
thf(zip_derived_cl2135,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_cl1082,zip_derived_cl2132]) ).
thf(zip_derived_cl83,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_218,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_219,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_220,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9976,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n0 )
& ( sk__1 = n3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2135,zip_derived_cl83,zip_derived_cl57,zip_derived_cl82,zip_derived_cl56,zip_derived_cl159,zip_derived_cl162]) ).
thf(zip_derived_cl17_221,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('51',plain,
( ( sk__1 != n3 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9976,zip_derived_cl17]) ).
thf(zip_derived_cl1082_222,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_223,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl6999,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n0 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n0 @ n25 ) ) ) ) )
<= ( ( sk_ = n0 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1082,zip_derived_cl6998]) ).
thf(zip_derived_cl79,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_224,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_225,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl753,plain,
( ( sum @ n25 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl752,plain,
( ( sum @ n25 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14848,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n0 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6999,zip_derived_cl79,zip_derived_cl53,zip_derived_cl104,zip_derived_cl78,zip_derived_cl753,zip_derived_cl752]) ).
thf(zip_derived_cl3_226,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('52',plain,
( ( sk_ != n0 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14848,zip_derived_cl3]) ).
thf(zip_derived_cl1082_227,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_228,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6921,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_cl1082,zip_derived_cl6920]) ).
thf(zip_derived_cl104_229,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_230,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_231,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726,plain,
( ( sum @ n24 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724,plain,
( ( sum @ n24 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14734,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n0 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6921,zip_derived_cl104,zip_derived_cl78,zip_derived_cl103,zip_derived_cl77,zip_derived_cl726,zip_derived_cl724]) ).
thf(zip_derived_cl6_232,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('53',plain,
( ( sk_ != n0 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14734,zip_derived_cl6]) ).
thf(zip_derived_cl1082_233,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_234,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6866,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_cl1082,zip_derived_cl6865]) ).
thf(zip_derived_cl103_235,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_236,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_237,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl699_238,plain,
( ( sum @ n23 @ n22 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl696_239,plain,
( ( sum @ n23 @ n19 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14618,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n0 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6866,zip_derived_cl103,zip_derived_cl77,zip_derived_cl102,zip_derived_cl76,zip_derived_cl699,zip_derived_cl696]) ).
thf(zip_derived_cl9_240,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('54',plain,
( ( sk_ != n0 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14618,zip_derived_cl9]) ).
thf(zip_derived_cl1082_241,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_242,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6811,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_cl1082,zip_derived_cl6810]) ).
thf(zip_derived_cl102_243,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_244,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_245,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_246,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672,plain,
( ( sum @ n22 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668,plain,
( ( sum @ n22 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14504,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n0 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6811,zip_derived_cl102,zip_derived_cl76,zip_derived_cl101,zip_derived_cl75,zip_derived_cl672,zip_derived_cl668]) ).
thf(zip_derived_cl12_247,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('55',plain,
( ( sk_ != n0 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14504,zip_derived_cl12]) ).
thf(zip_derived_cl1082_248,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_249,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6732,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_cl1082,zip_derived_cl6731]) ).
thf(zip_derived_cl101_250,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_251,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_252,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645,plain,
( ( sum @ n21 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640,plain,
( ( sum @ n21 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14390,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n0 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6732,zip_derived_cl101,zip_derived_cl75,zip_derived_cl100,zip_derived_cl74,zip_derived_cl645,zip_derived_cl640]) ).
thf(zip_derived_cl15_253,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('56',plain,
( ( sk_ != n0 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14390,zip_derived_cl15]) ).
thf(zip_derived_cl1082_254,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_255,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6675,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_cl1082,zip_derived_cl6674]) ).
thf(zip_derived_cl100_256,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_257,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_258,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618,plain,
( ( sum @ n20 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612,plain,
( ( sum @ n20 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14276,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n0 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6675,zip_derived_cl100,zip_derived_cl74,zip_derived_cl99,zip_derived_cl73,zip_derived_cl618,zip_derived_cl612]) ).
thf(zip_derived_cl18_259,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('57',plain,
( ( sk_ != n0 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14276,zip_derived_cl18]) ).
thf(zip_derived_cl1082_260,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_261,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6617,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_cl1082,zip_derived_cl6616]) ).
thf(zip_derived_cl99_262,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_263,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_264,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591,plain,
( ( sum @ n19 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584,plain,
( ( sum @ n19 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14162,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n0 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6617,zip_derived_cl99,zip_derived_cl73,zip_derived_cl98,zip_derived_cl72,zip_derived_cl591,zip_derived_cl584]) ).
thf(zip_derived_cl21_265,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('58',plain,
( ( sk_ != n0 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14162,zip_derived_cl21]) ).
thf(zip_derived_cl1082_266,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_267,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6562,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_cl1082,zip_derived_cl6561]) ).
thf(zip_derived_cl98_268,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_269,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_270,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl564,plain,
( ( sum @ n18 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556,plain,
( ( sum @ n18 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14046,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n0 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6562,zip_derived_cl98,zip_derived_cl72,zip_derived_cl97,zip_derived_cl71,zip_derived_cl564,zip_derived_cl556]) ).
thf(zip_derived_cl24_271,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('59',plain,
( ( sk__1 != n18 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14046,zip_derived_cl24]) ).
thf(zip_derived_cl1082_272,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_273,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6502,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_cl1082,zip_derived_cl6501]) ).
thf(zip_derived_cl97_274,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_275,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_276,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl537,plain,
( ( sum @ n17 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13932,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n0 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6502,zip_derived_cl97,zip_derived_cl71,zip_derived_cl96,zip_derived_cl70,zip_derived_cl537,zip_derived_cl528]) ).
thf(zip_derived_cl1_277,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('60',plain,
( ( sk_ != n0 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13932,zip_derived_cl1]) ).
thf(zip_derived_cl1082_278,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_279,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6440,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_cl1082,zip_derived_cl6439]) ).
thf(zip_derived_cl96_280,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_281,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_282,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl510,plain,
( ( sum @ n16 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13818,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n0 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6440,zip_derived_cl96,zip_derived_cl70,zip_derived_cl95,zip_derived_cl69,zip_derived_cl510,zip_derived_cl500]) ).
thf(zip_derived_cl4_283,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('61',plain,
( ( sk_ != n0 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13818,zip_derived_cl4]) ).
thf(zip_derived_cl1082_284,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_285,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6385,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_cl1082,zip_derived_cl6384]) ).
thf(zip_derived_cl95_286,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_287,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_288,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483,plain,
( ( sum @ n15 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_289,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13704,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n0 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6385,zip_derived_cl95,zip_derived_cl69,zip_derived_cl94,zip_derived_cl68,zip_derived_cl483,zip_derived_cl472]) ).
thf(zip_derived_cl7_290,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('62',plain,
( ( sk_ != n0 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13704,zip_derived_cl7]) ).
thf(zip_derived_cl1082_291,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_292,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6330,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_cl1082,zip_derived_cl6329]) ).
thf(zip_derived_cl94_293,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_294,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_295,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456,plain,
( ( sum @ n14 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13590,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n0 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6330,zip_derived_cl94,zip_derived_cl68,zip_derived_cl93,zip_derived_cl67,zip_derived_cl456,zip_derived_cl444]) ).
thf(zip_derived_cl10_296,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('63',plain,
( ( sk_ != n0 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13590,zip_derived_cl10]) ).
thf(zip_derived_cl1082_297,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1121_298,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl26_299,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_cl1657,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_cl1121,zip_derived_cl26]) ).
thf(zip_derived_cl40_300,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6269,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6270,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_cl1082,zip_derived_cl6269]) ).
thf(zip_derived_cl93_301,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_302,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_303,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442,plain,
( ( sum @ n13 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13474,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n0 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6270,zip_derived_cl93,zip_derived_cl67,zip_derived_cl92,zip_derived_cl66,zip_derived_cl429,zip_derived_cl442]) ).
thf(zip_derived_cl13_304,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('64',plain,
( ( sk_ != n0 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13474,zip_derived_cl13]) ).
thf(zip_derived_cl1082_305,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_306,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5177,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_cl1082,zip_derived_cl5176]) ).
thf(zip_derived_cl92_307,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_308,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_309,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414,plain,
( ( sum @ n12 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12634,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n0 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5177,zip_derived_cl92,zip_derived_cl66,zip_derived_cl91,zip_derived_cl65,zip_derived_cl402,zip_derived_cl414]) ).
thf(zip_derived_cl16_310,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('65',plain,
( ( sk_ != n0 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12634,zip_derived_cl16]) ).
thf(zip_derived_cl1082_311,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_312,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4769,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_cl1082,zip_derived_cl4768]) ).
thf(zip_derived_cl91_313,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_314,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_315,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_316,plain,
( ( sum @ n11 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12282,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n0 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4769,zip_derived_cl91,zip_derived_cl65,zip_derived_cl90,zip_derived_cl64,zip_derived_cl375,zip_derived_cl386]) ).
thf(zip_derived_cl19_317,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('66',plain,
( ( sk__1 != n11 )
| ( sk_ != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12282,zip_derived_cl19]) ).
thf(zip_derived_cl1082_318,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_319,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4366,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_cl1082,zip_derived_cl4365]) ).
thf(zip_derived_cl90_320,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_321,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_322,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358,plain,
( ( sum @ n10 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11855,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n0 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4366,zip_derived_cl90,zip_derived_cl64,zip_derived_cl89,zip_derived_cl63,zip_derived_cl348,zip_derived_cl358]) ).
thf(zip_derived_cl22_323,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('67',plain,
( ( sk_ != n0 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11855,zip_derived_cl22]) ).
thf(zip_derived_cl1082_324,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_325,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3989,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_cl1082,zip_derived_cl3988]) ).
thf(zip_derived_cl89_326,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_327,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_328,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330,plain,
( ( sum @ n9 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11292,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n0 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3989,zip_derived_cl89,zip_derived_cl63,zip_derived_cl88,zip_derived_cl62,zip_derived_cl321,zip_derived_cl330]) ).
thf(zip_derived_cl25_329,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('68',plain,
( ( sk_ != n0 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11292,zip_derived_cl25]) ).
thf(zip_derived_cl1082_330,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_331,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3621,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_cl1082,zip_derived_cl3620]) ).
thf(zip_derived_cl88_332,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_333,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_334,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10841,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n0 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3621,zip_derived_cl88,zip_derived_cl62,zip_derived_cl87,zip_derived_cl61,zip_derived_cl294,zip_derived_cl302]) ).
thf(zip_derived_cl2_335,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('69',plain,
( ( sk_ != n0 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10841,zip_derived_cl2]) ).
thf(zip_derived_cl1082_336,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_337,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3239,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_cl1082,zip_derived_cl3238]) ).
thf(zip_derived_cl87_338,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_339,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_340,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10495,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n0 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3239,zip_derived_cl87,zip_derived_cl61,zip_derived_cl86,zip_derived_cl60,zip_derived_cl267,zip_derived_cl274]) ).
thf(zip_derived_cl5_341,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('70',plain,
( ( sk_ != n0 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10495,zip_derived_cl5]) ).
thf(zip_derived_cl1082_342,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_343,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2878,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_cl1082,zip_derived_cl2877]) ).
thf(zip_derived_cl86_344,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_345,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_346,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10214,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n0 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2878,zip_derived_cl86,zip_derived_cl60,zip_derived_cl85,zip_derived_cl59,zip_derived_cl240,zip_derived_cl246]) ).
thf(zip_derived_cl8_347,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('71',plain,
( ( sk_ != n0 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10214,zip_derived_cl8]) ).
thf(zip_derived_cl1082_348,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_349,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2652,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_cl1082,zip_derived_cl2639]) ).
thf(zip_derived_cl85_350,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_351,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_352,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_353,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10129,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n0 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2652,zip_derived_cl85,zip_derived_cl59,zip_derived_cl84,zip_derived_cl58,zip_derived_cl213,zip_derived_cl218]) ).
thf(zip_derived_cl11_354,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('72',plain,
( ( sk_ != n0 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10129,zip_derived_cl11]) ).
thf(zip_derived_cl1082_355,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_356,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2409,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_cl1082,zip_derived_cl2399]) ).
thf(zip_derived_cl84_357,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_358,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_359,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_360,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_361,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10046,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n0 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2409,zip_derived_cl84,zip_derived_cl58,zip_derived_cl83,zip_derived_cl57,zip_derived_cl186,zip_derived_cl190]) ).
thf(zip_derived_cl14_362,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('73',plain,
( ( sk_ != n0 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10046,zip_derived_cl14]) ).
thf(zip_derived_cl1082_363,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_364,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2066,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_cl1082,zip_derived_cl2064]) ).
thf(zip_derived_cl82_365,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_366,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_367,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_368,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_369,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9927,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n0 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2066,zip_derived_cl82,zip_derived_cl56,zip_derived_cl81,zip_derived_cl55,zip_derived_cl132,zip_derived_cl134]) ).
thf(zip_derived_cl20_370,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('74',plain,
( ( sk_ != n0 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9927,zip_derived_cl20]) ).
thf(zip_derived_cl1082_371,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_372,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2010,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_cl1082,zip_derived_cl2009]) ).
thf(zip_derived_cl81_373,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_374,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_375,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9874,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n0 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2010,zip_derived_cl81,zip_derived_cl55,zip_derived_cl80,zip_derived_cl54,zip_derived_cl105,zip_derived_cl106]) ).
thf(zip_derived_cl23_376,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('75',plain,
( ( sk_ != n0 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9874,zip_derived_cl23]) ).
thf(zip_derived_cl1082_377,plain,
( ( sk_ = n0 )
<= ( sk_ = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_378,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1957,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_cl1082,zip_derived_cl1956]) ).
thf(zip_derived_cl80_379,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_380,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_381,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_382,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_383,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl104_384,plain,
( ( sum @ n0 @ n25 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9826,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n0 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1957,zip_derived_cl80,zip_derived_cl54,zip_derived_cl79,zip_derived_cl53,zip_derived_cl104,zip_derived_cl104]) ).
thf(zip_derived_cl0_385,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('76',plain,
( ( sk_ != n0 )
| ( sk__1 != n0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9826,zip_derived_cl0]) ).
thf(zip_derived_cl730_386,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_387,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_388,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1982,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_cl1107,zip_derived_cl1956]) ).
thf(zip_derived_cl11947,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n0 @ ( pred @ ( sum @ n25 @ n0 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl1982]) ).
thf(zip_derived_cl53_389,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_390,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_391,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_392,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11952,plain,
( ( sk__2
= ( sum @ n25 @ n24 ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11947,zip_derived_cl53,zip_derived_cl729,zip_derived_cl78,zip_derived_cl103]) ).
thf(zip_derived_cl753_393,plain,
( ( sum @ n25 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12130,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n25 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11952,zip_derived_cl753]) ).
thf(zip_derived_cl2_394,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('77',plain,
( ( sk__1 != n0 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12130,zip_derived_cl2]) ).
thf(zip_derived_cl704,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_395,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_396,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1981,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_cl1106,zip_derived_cl1956]) ).
thf(zip_derived_cl11747,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n0 @ ( pred @ ( sum @ n24 @ n0 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl704,zip_derived_cl1981]) ).
thf(zip_derived_cl78_397,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl703_398,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_399,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_400,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11752,plain,
( ( sk__2
= ( sum @ n24 @ n23 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11747,zip_derived_cl78,zip_derived_cl703,zip_derived_cl77,zip_derived_cl102]) ).
thf(zip_derived_cl726_401,plain,
( ( sum @ n24 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11912,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n24 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11752,zip_derived_cl726]) ).
thf(zip_derived_cl4_402,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('78',plain,
( ( sk__1 != n0 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11912,zip_derived_cl4]) ).
thf(zip_derived_cl652,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_403,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_404,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1979,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_cl1104,zip_derived_cl1956]) ).
thf(zip_derived_cl11353,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n0 @ ( pred @ ( sum @ n22 @ n0 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl652,zip_derived_cl1979]) ).
thf(zip_derived_cl76_405,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_406,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_407,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11358,plain,
( ( sk__2
= ( sum @ n22 @ n21 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11353,zip_derived_cl76,zip_derived_cl651,zip_derived_cl75,zip_derived_cl100]) ).
thf(zip_derived_cl672_408,plain,
( ( sum @ n22 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11492,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n22 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11358,zip_derived_cl672]) ).
thf(zip_derived_cl8_409,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('79',plain,
( ( sk__1 != n0 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11492,zip_derived_cl8]) ).
thf(zip_derived_cl626,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_410,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_411,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1978,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_cl1103,zip_derived_cl1956]) ).
thf(zip_derived_cl11167,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n0 @ ( pred @ ( sum @ n21 @ n0 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl626,zip_derived_cl1978]) ).
thf(zip_derived_cl75_412,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl625,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_413,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_414,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11172,plain,
( ( sk__2
= ( sum @ n21 @ n20 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11167,zip_derived_cl75,zip_derived_cl625,zip_derived_cl74,zip_derived_cl99]) ).
thf(zip_derived_cl645_415,plain,
( ( sum @ n21 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11300,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n21 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11172,zip_derived_cl645]) ).
thf(zip_derived_cl10_416,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('80',plain,
( ( sk__1 != n0 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11300,zip_derived_cl10]) ).
thf(zip_derived_cl600,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_417,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_418,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1977,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_cl1102,zip_derived_cl1956]) ).
thf(zip_derived_cl10990,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n0 @ ( pred @ ( sum @ n20 @ n0 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl600,zip_derived_cl1977]) ).
thf(zip_derived_cl74_419,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_420,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_421,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10995,plain,
( ( sk__2
= ( sum @ n20 @ n19 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10990,zip_derived_cl74,zip_derived_cl599,zip_derived_cl73,zip_derived_cl98]) ).
thf(zip_derived_cl618_422,plain,
( ( sum @ n20 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11094,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n20 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10995,zip_derived_cl618]) ).
thf(zip_derived_cl12_423,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('81',plain,
( ( sk__1 != n0 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11094,zip_derived_cl12]) ).
thf(zip_derived_cl574,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_424,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_425,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1976,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_cl1101,zip_derived_cl1956]) ).
thf(zip_derived_cl10847,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n0 @ ( pred @ ( sum @ n19 @ n0 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl1976]) ).
thf(zip_derived_cl73_426,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl573,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_427,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_428,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10850,plain,
( ( sk__2
= ( sum @ n19 @ n18 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10847,zip_derived_cl73,zip_derived_cl573,zip_derived_cl72,zip_derived_cl97]) ).
thf(zip_derived_cl591_429,plain,
( ( sum @ n19 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10935,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n19 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10850,zip_derived_cl591]) ).
thf(zip_derived_cl14_430,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('82',plain,
( ( sk__1 != n0 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10935,zip_derived_cl14]) ).
thf(zip_derived_cl548,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_431,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_432,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1975,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_cl1100,zip_derived_cl1956]) ).
thf(zip_derived_cl10680,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n0 @ ( pred @ ( sum @ n18 @ n0 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl548,zip_derived_cl1975]) ).
thf(zip_derived_cl72_433,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_434,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_435,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10683,plain,
( ( sk__2
= ( sum @ n18 @ n17 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10680,zip_derived_cl72,zip_derived_cl547,zip_derived_cl71,zip_derived_cl96]) ).
thf(zip_derived_cl564_436,plain,
( ( sum @ n18 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10767,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n18 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10683,zip_derived_cl564]) ).
thf(zip_derived_cl16_437,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('83',plain,
( ( sk__1 != n0 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10767,zip_derived_cl16]) ).
thf(zip_derived_cl522,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_438,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_439,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1974,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_cl1099,zip_derived_cl1956]) ).
thf(zip_derived_cl10540,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n0 @ ( pred @ ( sum @ n17 @ n0 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl522,zip_derived_cl1974]) ).
thf(zip_derived_cl71_440,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_441,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_442,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10543,plain,
( ( sk__2
= ( sum @ n17 @ n16 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10540,zip_derived_cl71,zip_derived_cl521,zip_derived_cl70,zip_derived_cl95]) ).
thf(zip_derived_cl537_443,plain,
( ( sum @ n17 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10611,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n17 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10543,zip_derived_cl537]) ).
thf(zip_derived_cl18_444,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('84',plain,
( ( sk__1 != n0 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10611,zip_derived_cl18]) ).
thf(zip_derived_cl496,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_445,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_446,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1973,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_cl1098,zip_derived_cl1956]) ).
thf(zip_derived_cl10399,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n0 @ ( pred @ ( sum @ n16 @ n0 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl496,zip_derived_cl1973]) ).
thf(zip_derived_cl70_447,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_448,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_449,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10402,plain,
( ( sk__2
= ( sum @ n16 @ n15 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10399,zip_derived_cl70,zip_derived_cl495,zip_derived_cl69,zip_derived_cl94]) ).
thf(zip_derived_cl510_450,plain,
( ( sum @ n16 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10473,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n16 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10402,zip_derived_cl510]) ).
thf(zip_derived_cl20_451,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('85',plain,
( ( sk__1 != n0 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10473,zip_derived_cl20]) ).
thf(zip_derived_cl470,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_452,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_453,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1972,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_cl1097,zip_derived_cl1956]) ).
thf(zip_derived_cl10265,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n0 @ ( pred @ ( sum @ n15 @ n0 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl1972]) ).
thf(zip_derived_cl69_454,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_455,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_456,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10268,plain,
( ( sk__2
= ( sum @ n15 @ n14 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10265,zip_derived_cl69,zip_derived_cl469,zip_derived_cl68,zip_derived_cl93]) ).
thf(zip_derived_cl483_457,plain,
( ( sum @ n15 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10309,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n15 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10268,zip_derived_cl483]) ).
thf(zip_derived_cl22_458,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('86',plain,
( ( sk__1 != n0 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10309,zip_derived_cl22]) ).
thf(zip_derived_cl444_459,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_460,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_461,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1971,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_cl1096,zip_derived_cl1956]) ).
thf(zip_derived_cl10154,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n0 @ ( pred @ ( sum @ n14 @ n0 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl444,zip_derived_cl1971]) ).
thf(zip_derived_cl68_462,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_463,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_464,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10157,plain,
( ( sk__2
= ( sum @ n14 @ n13 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10154,zip_derived_cl68,zip_derived_cl443,zip_derived_cl67,zip_derived_cl92]) ).
thf(zip_derived_cl456_465,plain,
( ( sum @ n14 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10208,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n14 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10157,zip_derived_cl456]) ).
thf(zip_derived_cl24_466,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('87',plain,
( ( sk__1 != n0 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10208,zip_derived_cl24]) ).
thf(zip_derived_cl418,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_467,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_468,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1970,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_cl1095,zip_derived_cl1956]) ).
thf(zip_derived_cl10070,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n0 @ ( pred @ ( sum @ n13 @ n0 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl1970]) ).
thf(zip_derived_cl67_469,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_470,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_471,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10073,plain,
( ( sk__2
= ( sum @ n13 @ n12 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10070,zip_derived_cl67,zip_derived_cl417,zip_derived_cl66,zip_derived_cl91]) ).
thf(zip_derived_cl429_472,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10108,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n13 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10073,zip_derived_cl429]) ).
thf(zip_derived_cl0_473,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('88',plain,
( ( sk__1 != n0 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10108,zip_derived_cl0]) ).
thf(zip_derived_cl392,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_474,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_475,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1969,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_cl1094,zip_derived_cl1956]) ).
thf(zip_derived_cl9984,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n0 @ ( pred @ ( sum @ n12 @ n0 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl392,zip_derived_cl1969]) ).
thf(zip_derived_cl66_476,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391_477,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_478,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_479,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9986,plain,
( ( sk__2
= ( sum @ n12 @ n11 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9984,zip_derived_cl66,zip_derived_cl391,zip_derived_cl65,zip_derived_cl90]) ).
thf(zip_derived_cl402_480,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10015,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n12 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9986,zip_derived_cl402]) ).
thf(zip_derived_cl2_481,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('89',plain,
( ( sk__1 != n0 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10015,zip_derived_cl2]) ).
thf(zip_derived_cl366,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_482,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_483,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1968,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_cl1093,zip_derived_cl1956]) ).
thf(zip_derived_cl9918,plain,
( ( sk__2
= ( sum @ ( pred @ n12 ) @ ( sum @ n0 @ ( pred @ ( sum @ n11 @ n0 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl1968]) ).
thf(zip_derived_cl65_484,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_485,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_486,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9920,plain,
( ( sk__2
= ( sum @ n11 @ n10 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9918,zip_derived_cl65,zip_derived_cl365,zip_derived_cl64,zip_derived_cl89]) ).
thf(zip_derived_cl375_487,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9945,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n11 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9920,zip_derived_cl375]) ).
thf(zip_derived_cl4_488,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('90',plain,
( ( sk__1 != n0 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9945,zip_derived_cl4]) ).
thf(zip_derived_cl340,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1092_489,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_490,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1967,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_cl1092,zip_derived_cl1956]) ).
thf(zip_derived_cl9848,plain,
( ( sk__2
= ( sum @ ( pred @ n11 ) @ ( sum @ n0 @ ( pred @ ( sum @ n10 @ n0 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl340,zip_derived_cl1967]) ).
thf(zip_derived_cl64_491,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_492,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_493,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9849,plain,
( ( sk__2
= ( sum @ n10 @ n9 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9848,zip_derived_cl64,zip_derived_cl339,zip_derived_cl63,zip_derived_cl88]) ).
thf(zip_derived_cl348_494,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9872,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n10 )
& ( sk__1 = n0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9849,zip_derived_cl348]) ).
thf(zip_derived_cl6_495,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('91',plain,
( ( sk__1 != n0 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9872,zip_derived_cl6]) ).
thf(zip_derived_cl1091_496,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_497,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1966,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_cl1091,zip_derived_cl1956]) ).
thf(zip_derived_cl314,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_498,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_499,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_500,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_501,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9844,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n9 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1966,zip_derived_cl314,zip_derived_cl63,zip_derived_cl313,zip_derived_cl62,zip_derived_cl87,zip_derived_cl321]) ).
thf(zip_derived_cl8_502,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('92',plain,
( ( sk__1 != n0 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9844,zip_derived_cl8]) ).
thf(zip_derived_cl1090_503,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_504,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1965,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_cl1090,zip_derived_cl1956]) ).
thf(zip_derived_cl288,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_505,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_506,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_507,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_508,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9842,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n8 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1965,zip_derived_cl288,zip_derived_cl62,zip_derived_cl287,zip_derived_cl61,zip_derived_cl86,zip_derived_cl294]) ).
thf(zip_derived_cl10_509,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('93',plain,
( ( sk__1 != n0 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9842,zip_derived_cl10]) ).
thf(zip_derived_cl1089_510,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_511,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1964,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_cl1089,zip_derived_cl1956]) ).
thf(zip_derived_cl262,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_512,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_513,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_514,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_515,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9840,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n7 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1964,zip_derived_cl262,zip_derived_cl61,zip_derived_cl261,zip_derived_cl60,zip_derived_cl85,zip_derived_cl267]) ).
thf(zip_derived_cl12_516,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('94',plain,
( ( sk__1 != n0 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9840,zip_derived_cl12]) ).
thf(zip_derived_cl1088_517,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_518,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1963,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_cl1088,zip_derived_cl1956]) ).
thf(zip_derived_cl236,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_519,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_520,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_521,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_522,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9838,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n6 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1963,zip_derived_cl236,zip_derived_cl60,zip_derived_cl235,zip_derived_cl59,zip_derived_cl84,zip_derived_cl240]) ).
thf(zip_derived_cl14_523,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('95',plain,
( ( sk__1 != n0 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9838,zip_derived_cl14]) ).
thf(zip_derived_cl1087_524,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_525,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1962,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_cl1087,zip_derived_cl1956]) ).
thf(zip_derived_cl210_526,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_527,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_528,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_529,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_530,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9836,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n5 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1962,zip_derived_cl210,zip_derived_cl59,zip_derived_cl209,zip_derived_cl58,zip_derived_cl83,zip_derived_cl213]) ).
thf(zip_derived_cl16_531,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('96',plain,
( ( sk__1 != n0 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9836,zip_derived_cl16]) ).
thf(zip_derived_cl1086_532,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_533,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1961,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_cl1086,zip_derived_cl1956]) ).
thf(zip_derived_cl184,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_534,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_535,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_536,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_537,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl186_538,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9834,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n4 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1961,zip_derived_cl184,zip_derived_cl58,zip_derived_cl183,zip_derived_cl57,zip_derived_cl82,zip_derived_cl186]) ).
thf(zip_derived_cl18_539,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('97',plain,
( ( sk__1 != n0 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9834,zip_derived_cl18]) ).
thf(zip_derived_cl1085_540,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_541,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1960,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_cl1085,zip_derived_cl1956]) ).
thf(zip_derived_cl158_542,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_543,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_544,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_545,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl81_546,plain,
( ( sum @ n0 @ n2 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_547,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9832,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n3 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1960,zip_derived_cl158,zip_derived_cl57,zip_derived_cl157,zip_derived_cl56,zip_derived_cl81,zip_derived_cl159]) ).
thf(zip_derived_cl20_548,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('98',plain,
( ( sk__1 != n0 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9832,zip_derived_cl20]) ).
thf(zip_derived_cl1084_549,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_550,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1959,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_cl1084,zip_derived_cl1956]) ).
thf(zip_derived_cl132_551,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_552,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_553,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_554,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_555,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9830,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n2 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1959,zip_derived_cl132,zip_derived_cl56,zip_derived_cl131,zip_derived_cl55,zip_derived_cl80,zip_derived_cl132]) ).
thf(zip_derived_cl22_556,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('99',plain,
( ( sk__1 != n0 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9830,zip_derived_cl22]) ).
thf(zip_derived_cl1083_557,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1956_558,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n1 ) ) @ ( sum @ n0 @ ( pred @ ( sum @ sk_ @ n0 ) ) ) ) )
<= ( sk__1 = n0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl27]) ).
thf(zip_derived_cl1958,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_cl1083,zip_derived_cl1956]) ).
thf(zip_derived_cl106_559,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_560,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_561,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_562,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_563,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl105_564,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9828,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n1 )
& ( sk__1 = n0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1958,zip_derived_cl106,zip_derived_cl55,zip_derived_cl105,zip_derived_cl54,zip_derived_cl79,zip_derived_cl105]) ).
thf(zip_derived_cl24_565,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('100',plain,
( ( sk__1 != n0 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9828,zip_derived_cl24]) ).
thf(zip_derived_cl1083_566,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_567,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7000,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n1 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n1 @ n25 ) ) ) ) )
<= ( ( sk_ = n1 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1083,zip_derived_cl6998]) ).
thf(zip_derived_cl105_568,plain,
( ( sum @ n1 @ n0 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_569,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130,plain,
( ( sum @ n1 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_570,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl754,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl103_571,plain,
( ( sum @ n0 @ n24 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14850,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n1 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7000,zip_derived_cl105,zip_derived_cl54,zip_derived_cl130,zip_derived_cl53,zip_derived_cl754,zip_derived_cl103]) ).
thf(zip_derived_cl1_572,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('101',plain,
( ( sk_ != n1 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14850,zip_derived_cl1]) ).
thf(zip_derived_cl1083_573,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_574,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6922,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_cl1083,zip_derived_cl6920]) ).
thf(zip_derived_cl130_575,plain,
( ( sum @ n1 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_576,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_577,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_578,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl751,plain,
( ( sum @ n25 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14736,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n1 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6922,zip_derived_cl130,zip_derived_cl53,zip_derived_cl129,zip_derived_cl78,zip_derived_cl727,zip_derived_cl751]) ).
thf(zip_derived_cl4_579,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('102',plain,
( ( sk_ != n1 )
| ( sk__1 != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14736,zip_derived_cl4]) ).
thf(zip_derived_cl1083_580,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_581,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6867,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_cl1083,zip_derived_cl6865]) ).
thf(zip_derived_cl129_582,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_583,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_584,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_585,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl700_586,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_587,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14620,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n1 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6867,zip_derived_cl129,zip_derived_cl78,zip_derived_cl128,zip_derived_cl77,zip_derived_cl700,zip_derived_cl723]) ).
thf(zip_derived_cl7_588,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('103',plain,
( ( sk_ != n1 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14620,zip_derived_cl7]) ).
thf(zip_derived_cl1083_589,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_590,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6812,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_cl1083,zip_derived_cl6810]) ).
thf(zip_derived_cl128_591,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_592,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_593,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl673,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl695_594,plain,
( ( sum @ n23 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14506,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n1 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6812,zip_derived_cl128,zip_derived_cl77,zip_derived_cl127,zip_derived_cl76,zip_derived_cl673,zip_derived_cl695]) ).
thf(zip_derived_cl10_595,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('104',plain,
( ( sk_ != n1 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14506,zip_derived_cl10]) ).
thf(zip_derived_cl1083_596,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_597,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6733,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_cl1083,zip_derived_cl6731]) ).
thf(zip_derived_cl127_598,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_599,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_600,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14392,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n1 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6733,zip_derived_cl127,zip_derived_cl76,zip_derived_cl126,zip_derived_cl75,zip_derived_cl646,zip_derived_cl667]) ).
thf(zip_derived_cl13_601,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('105',plain,
( ( sk_ != n1 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14392,zip_derived_cl13]) ).
thf(zip_derived_cl1083_602,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_603,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6676,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_cl1083,zip_derived_cl6674]) ).
thf(zip_derived_cl126_604,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_605,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_606,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl639,plain,
( ( sum @ n21 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14278,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n1 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6676,zip_derived_cl126,zip_derived_cl75,zip_derived_cl125,zip_derived_cl74,zip_derived_cl619,zip_derived_cl639]) ).
thf(zip_derived_cl16_607,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('106',plain,
( ( sk_ != n1 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14278,zip_derived_cl16]) ).
thf(zip_derived_cl1083_608,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_609,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6618,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_cl1083,zip_derived_cl6616]) ).
thf(zip_derived_cl125_610,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_611,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_612,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14164,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n1 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6618,zip_derived_cl125,zip_derived_cl74,zip_derived_cl124,zip_derived_cl73,zip_derived_cl592,zip_derived_cl611]) ).
thf(zip_derived_cl19_613,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('107',plain,
( ( sk_ != n1 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14164,zip_derived_cl19]) ).
thf(zip_derived_cl1083_614,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_615,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6563,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_cl1083,zip_derived_cl6561]) ).
thf(zip_derived_cl124_616,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_617,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_618,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl565,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583,plain,
( ( sum @ n19 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14048,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n1 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6563,zip_derived_cl124,zip_derived_cl73,zip_derived_cl123,zip_derived_cl72,zip_derived_cl565,zip_derived_cl583]) ).
thf(zip_derived_cl22_619,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('108',plain,
( ( sk__1 != n18 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14048,zip_derived_cl22]) ).
thf(zip_derived_cl1083_620,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_621,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6503,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_cl1083,zip_derived_cl6501]) ).
thf(zip_derived_cl123_622,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_623,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_624,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13934,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n1 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6503,zip_derived_cl123,zip_derived_cl72,zip_derived_cl122,zip_derived_cl71,zip_derived_cl538,zip_derived_cl555]) ).
thf(zip_derived_cl25_625,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('109',plain,
( ( sk_ != n1 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13934,zip_derived_cl25]) ).
thf(zip_derived_cl1083_626,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_627,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6441,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_cl1083,zip_derived_cl6439]) ).
thf(zip_derived_cl122_628,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_629,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_630,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl511,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13820,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n1 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6441,zip_derived_cl122,zip_derived_cl71,zip_derived_cl121,zip_derived_cl70,zip_derived_cl511,zip_derived_cl527]) ).
thf(zip_derived_cl2_631,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('110',plain,
( ( sk_ != n1 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13820,zip_derived_cl2]) ).
thf(zip_derived_cl1083_632,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_633,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6386,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_cl1083,zip_derived_cl6384]) ).
thf(zip_derived_cl121_634,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_635,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_636,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_637,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13706,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n1 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6386,zip_derived_cl121,zip_derived_cl70,zip_derived_cl120,zip_derived_cl69,zip_derived_cl484,zip_derived_cl499]) ).
thf(zip_derived_cl5_638,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('111',plain,
( ( sk_ != n1 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13706,zip_derived_cl5]) ).
thf(zip_derived_cl1083_639,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_640,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6331,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_cl1083,zip_derived_cl6329]) ).
thf(zip_derived_cl120_641,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_642,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_643,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13592,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n1 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6331,zip_derived_cl120,zip_derived_cl69,zip_derived_cl119,zip_derived_cl68,zip_derived_cl457,zip_derived_cl471]) ).
thf(zip_derived_cl8_644,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('112',plain,
( ( sk_ != n1 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13592,zip_derived_cl8]) ).
thf(zip_derived_cl1083_645,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_646,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6271,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_cl1083,zip_derived_cl6269]) ).
thf(zip_derived_cl119_647,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_648,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_649,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_650,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13476,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n1 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6271,zip_derived_cl119,zip_derived_cl68,zip_derived_cl118,zip_derived_cl67,zip_derived_cl430,zip_derived_cl443]) ).
thf(zip_derived_cl11_651,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('113',plain,
( ( sk_ != n1 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13476,zip_derived_cl11]) ).
thf(zip_derived_cl1083_652,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_653,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5178,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_cl1083,zip_derived_cl5176]) ).
thf(zip_derived_cl118_654,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_655,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_656,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441,plain,
( ( sum @ n13 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12636,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n1 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5178,zip_derived_cl118,zip_derived_cl67,zip_derived_cl117,zip_derived_cl66,zip_derived_cl403,zip_derived_cl441]) ).
thf(zip_derived_cl14_657,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('114',plain,
( ( sk_ != n1 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12636,zip_derived_cl14]) ).
thf(zip_derived_cl1083_658,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_659,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4770,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_cl1083,zip_derived_cl4768]) ).
thf(zip_derived_cl117_660,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_661,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_662,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl376_663,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12284,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n1 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4770,zip_derived_cl117,zip_derived_cl66,zip_derived_cl116,zip_derived_cl65,zip_derived_cl376,zip_derived_cl413]) ).
thf(zip_derived_cl17_664,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('115',plain,
( ( sk__1 != n11 )
| ( sk_ != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12284,zip_derived_cl17]) ).
thf(zip_derived_cl1083_665,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_666,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4367,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_cl1083,zip_derived_cl4365]) ).
thf(zip_derived_cl116_667,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_668,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_669,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385,plain,
( ( sum @ n11 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11857,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n1 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4367,zip_derived_cl116,zip_derived_cl65,zip_derived_cl115,zip_derived_cl64,zip_derived_cl349,zip_derived_cl385]) ).
thf(zip_derived_cl20_670,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('116',plain,
( ( sk_ != n1 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11857,zip_derived_cl20]) ).
thf(zip_derived_cl1083_671,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_672,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3990,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_cl1083,zip_derived_cl3988]) ).
thf(zip_derived_cl115_673,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_674,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_675,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11294,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n1 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3990,zip_derived_cl115,zip_derived_cl64,zip_derived_cl114,zip_derived_cl63,zip_derived_cl322,zip_derived_cl357]) ).
thf(zip_derived_cl23_676,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('117',plain,
( ( sk_ != n1 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11294,zip_derived_cl23]) ).
thf(zip_derived_cl1083_677,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_678,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3622,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_cl1083,zip_derived_cl3620]) ).
thf(zip_derived_cl114_679,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_680,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_681,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10843,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n1 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3622,zip_derived_cl114,zip_derived_cl63,zip_derived_cl113,zip_derived_cl62,zip_derived_cl295,zip_derived_cl329]) ).
thf(zip_derived_cl0_682,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('118',plain,
( ( sk_ != n1 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10843,zip_derived_cl0]) ).
thf(zip_derived_cl1083_683,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_684,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3240,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_cl1083,zip_derived_cl3238]) ).
thf(zip_derived_cl113_685,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_686,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_687,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10497,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n1 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3240,zip_derived_cl113,zip_derived_cl62,zip_derived_cl112,zip_derived_cl61,zip_derived_cl268,zip_derived_cl301]) ).
thf(zip_derived_cl3_688,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('119',plain,
( ( sk_ != n1 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10497,zip_derived_cl3]) ).
thf(zip_derived_cl1083_689,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_690,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2879,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_cl1083,zip_derived_cl2877]) ).
thf(zip_derived_cl112_691,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_692,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_693,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10216,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n1 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2879,zip_derived_cl112,zip_derived_cl61,zip_derived_cl111,zip_derived_cl60,zip_derived_cl241,zip_derived_cl273]) ).
thf(zip_derived_cl6_694,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('120',plain,
( ( sk_ != n1 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10216,zip_derived_cl6]) ).
thf(zip_derived_cl1083_695,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_696,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2653,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_cl1083,zip_derived_cl2639]) ).
thf(zip_derived_cl111_697,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_698,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_699,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10131,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n1 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2653,zip_derived_cl111,zip_derived_cl60,zip_derived_cl110,zip_derived_cl59,zip_derived_cl214,zip_derived_cl245]) ).
thf(zip_derived_cl9_700,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('121',plain,
( ( sk_ != n1 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10131,zip_derived_cl9]) ).
thf(zip_derived_cl1083_701,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_702,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2410,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_cl1083,zip_derived_cl2399]) ).
thf(zip_derived_cl110_703,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_704,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_705,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_706,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_707,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10048,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n1 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2410,zip_derived_cl110,zip_derived_cl59,zip_derived_cl109,zip_derived_cl58,zip_derived_cl187,zip_derived_cl217]) ).
thf(zip_derived_cl12_708,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('122',plain,
( ( sk_ != n1 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10048,zip_derived_cl12]) ).
thf(zip_derived_cl1083_709,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_710,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2067,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_cl1083,zip_derived_cl2064]) ).
thf(zip_derived_cl108_711,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_712,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_713,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_714,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9929,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n1 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl108,zip_derived_cl57,zip_derived_cl107,zip_derived_cl56,zip_derived_cl133,zip_derived_cl161]) ).
thf(zip_derived_cl18_715,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('123',plain,
( ( sk_ != n1 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9929,zip_derived_cl18]) ).
thf(zip_derived_cl1083_716,plain,
( ( sk_ = n1 )
<= ( sk_ = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_717,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2011,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_cl1083,zip_derived_cl2009]) ).
thf(zip_derived_cl107_718,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_719,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_720,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_721,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl106_722,plain,
( ( sum @ n1 @ n1 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_723,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9876,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n1 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2011,zip_derived_cl107,zip_derived_cl56,zip_derived_cl106,zip_derived_cl55,zip_derived_cl106,zip_derived_cl133]) ).
thf(zip_derived_cl21_724,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('124',plain,
( ( sk_ != n1 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9876,zip_derived_cl21]) ).
thf(zip_derived_cl1107_725,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_726,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6946,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_cl1107,zip_derived_cl6920]) ).
thf(zip_derived_cl754_727,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_728,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl753_729,plain,
( ( sum @ n25 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_730,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697_731,plain,
( ( sum @ n23 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14788,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n25 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6946,zip_derived_cl754,zip_derived_cl77,zip_derived_cl753,zip_derived_cl76,zip_derived_cl725,zip_derived_cl697]) ).
thf(zip_derived_cl8_732,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('125',plain,
( ( sk__1 != n24 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14788,zip_derived_cl8]) ).
thf(zip_derived_cl1106_733,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_734,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6945,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_cl1106,zip_derived_cl6920]) ).
thf(zip_derived_cl728,plain,
( ( sum @ n24 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_735,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl727_736,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_737,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_738,plain,
( ( sum @ n24 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl670,plain,
( ( sum @ n22 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14786,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n24 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6945,zip_derived_cl728,zip_derived_cl76,zip_derived_cl727,zip_derived_cl75,zip_derived_cl724,zip_derived_cl670]) ).
thf(zip_derived_cl10_739,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('126',plain,
( ( sk__1 != n24 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14786,zip_derived_cl10]) ).
thf(zip_derived_cl1104_740,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_741,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6943,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_cl1104,zip_derived_cl6920]) ).
thf(zip_derived_cl676,plain,
( ( sum @ n22 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_742,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675_743,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_744,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722,plain,
( ( sum @ n24 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616,plain,
( ( sum @ n20 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14782,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n22 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6943,zip_derived_cl676,zip_derived_cl74,zip_derived_cl675,zip_derived_cl73,zip_derived_cl722,zip_derived_cl616]) ).
thf(zip_derived_cl14_745,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('127',plain,
( ( sk__1 != n24 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14782,zip_derived_cl14]) ).
thf(zip_derived_cl1103_746,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_747,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6942,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_cl1103,zip_derived_cl6920]) ).
thf(zip_derived_cl650,plain,
( ( sum @ n21 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_748,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649,plain,
( ( sum @ n21 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_749,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589,plain,
( ( sum @ n19 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14780,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n21 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6942,zip_derived_cl650,zip_derived_cl73,zip_derived_cl649,zip_derived_cl72,zip_derived_cl721,zip_derived_cl589]) ).
thf(zip_derived_cl16_750,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('128',plain,
( ( sk__1 != n24 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14780,zip_derived_cl16]) ).
thf(zip_derived_cl1102_751,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_752,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6941,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_cl1102,zip_derived_cl6920]) ).
thf(zip_derived_cl624,plain,
( ( sum @ n20 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_753,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_754,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720,plain,
( ( sum @ n24 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562,plain,
( ( sum @ n18 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14778,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n20 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6941,zip_derived_cl624,zip_derived_cl72,zip_derived_cl623,zip_derived_cl71,zip_derived_cl720,zip_derived_cl562]) ).
thf(zip_derived_cl18_755,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('129',plain,
( ( sk__1 != n24 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14778,zip_derived_cl18]) ).
thf(zip_derived_cl1101_756,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_757,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6940,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_cl1101,zip_derived_cl6920]) ).
thf(zip_derived_cl598,plain,
( ( sum @ n19 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_758,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597,plain,
( ( sum @ n19 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_759,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535,plain,
( ( sum @ n17 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14774,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n19 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6940,zip_derived_cl598,zip_derived_cl71,zip_derived_cl597,zip_derived_cl70,zip_derived_cl719,zip_derived_cl535]) ).
thf(zip_derived_cl20_760,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('130',plain,
( ( sk__1 != n24 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14774,zip_derived_cl20]) ).
thf(zip_derived_cl1100_761,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_762,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6939,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_cl1100,zip_derived_cl6920]) ).
thf(zip_derived_cl572,plain,
( ( sum @ n18 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_763,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_764,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718,plain,
( ( sum @ n24 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508,plain,
( ( sum @ n16 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14772,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n18 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6939,zip_derived_cl572,zip_derived_cl70,zip_derived_cl571,zip_derived_cl69,zip_derived_cl718,zip_derived_cl508]) ).
thf(zip_derived_cl22_765,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('131',plain,
( ( sk__1 != n24 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14772,zip_derived_cl22]) ).
thf(zip_derived_cl1099_766,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_767,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6938,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_cl1099,zip_derived_cl6920]) ).
thf(zip_derived_cl546,plain,
( ( sum @ n17 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_768,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545,plain,
( ( sum @ n17 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_769,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481,plain,
( ( sum @ n15 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14770,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n17 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6938,zip_derived_cl546,zip_derived_cl69,zip_derived_cl545,zip_derived_cl68,zip_derived_cl717,zip_derived_cl481]) ).
thf(zip_derived_cl24_770,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('132',plain,
( ( sk__1 != n24 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14770,zip_derived_cl24]) ).
thf(zip_derived_cl1098_771,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_772,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6937,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_cl1098,zip_derived_cl6920]) ).
thf(zip_derived_cl520,plain,
( ( sum @ n16 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_773,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_774,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716,plain,
( ( sum @ n24 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14768,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n16 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6937,zip_derived_cl520,zip_derived_cl68,zip_derived_cl519,zip_derived_cl67,zip_derived_cl716,zip_derived_cl454]) ).
thf(zip_derived_cl0_775,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('133',plain,
( ( sk__1 != n24 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14768,zip_derived_cl0]) ).
thf(zip_derived_cl1097_776,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_777,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6936,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_cl1097,zip_derived_cl6920]) ).
thf(zip_derived_cl494,plain,
( ( sum @ n15 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_778,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493,plain,
( ( sum @ n15 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_779,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14766,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n15 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6936,zip_derived_cl494,zip_derived_cl67,zip_derived_cl493,zip_derived_cl66,zip_derived_cl715,zip_derived_cl427]) ).
thf(zip_derived_cl2_780,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('134',plain,
( ( sk__1 != n24 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14766,zip_derived_cl2]) ).
thf(zip_derived_cl1096_781,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_782,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6935,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_cl1096,zip_derived_cl6920]) ).
thf(zip_derived_cl468,plain,
( ( sum @ n14 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_783,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_784,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714,plain,
( ( sum @ n24 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14764,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n14 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6935,zip_derived_cl468,zip_derived_cl66,zip_derived_cl467,zip_derived_cl65,zip_derived_cl714,zip_derived_cl400]) ).
thf(zip_derived_cl4_785,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('135',plain,
( ( sk__1 != n24 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14764,zip_derived_cl4]) ).
thf(zip_derived_cl1095_786,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_787,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6934,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_cl1095,zip_derived_cl6920]) ).
thf(zip_derived_cl442_788,plain,
( ( sum @ n13 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_789,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_790,plain,
( ( sum @ n13 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_791,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14762,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n13 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6934,zip_derived_cl442,zip_derived_cl65,zip_derived_cl441,zip_derived_cl64,zip_derived_cl713,zip_derived_cl373]) ).
thf(zip_derived_cl6_792,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('136',plain,
( ( sk__1 != n24 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14762,zip_derived_cl6]) ).
thf(zip_derived_cl1094_793,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_794,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6933,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_cl1094,zip_derived_cl6920]) ).
thf(zip_derived_cl416,plain,
( ( sum @ n12 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_795,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_796,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl712,plain,
( ( sum @ n24 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14760,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n12 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6933,zip_derived_cl416,zip_derived_cl64,zip_derived_cl415,zip_derived_cl63,zip_derived_cl712,zip_derived_cl346]) ).
thf(zip_derived_cl8_797,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('137',plain,
( ( sk__1 != n24 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14760,zip_derived_cl8]) ).
thf(zip_derived_cl1093_798,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_799,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6932,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_cl1093,zip_derived_cl6920]) ).
thf(zip_derived_cl390,plain,
( ( sum @ n11 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_800,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_801,plain,
( ( sum @ n11 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_802,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14758,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n11 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6932,zip_derived_cl390,zip_derived_cl63,zip_derived_cl389,zip_derived_cl62,zip_derived_cl711,zip_derived_cl319]) ).
thf(zip_derived_cl10_803,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('138',plain,
( ( sk__1 != n24 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14758,zip_derived_cl10]) ).
thf(zip_derived_cl1092_804,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_805,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6931,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_cl1092,zip_derived_cl6920]) ).
thf(zip_derived_cl364,plain,
( ( sum @ n10 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_806,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_807,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710,plain,
( ( sum @ n24 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14756,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n10 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6931,zip_derived_cl364,zip_derived_cl62,zip_derived_cl363,zip_derived_cl61,zip_derived_cl710,zip_derived_cl292]) ).
thf(zip_derived_cl12_808,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('139',plain,
( ( sk__1 != n24 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14756,zip_derived_cl12]) ).
thf(zip_derived_cl1091_809,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_810,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6930,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_cl1091,zip_derived_cl6920]) ).
thf(zip_derived_cl338,plain,
( ( sum @ n9 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_811,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337,plain,
( ( sum @ n9 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_812,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_813,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14752,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n9 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6930,zip_derived_cl338,zip_derived_cl61,zip_derived_cl337,zip_derived_cl60,zip_derived_cl709,zip_derived_cl265]) ).
thf(zip_derived_cl14_814,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('140',plain,
( ( sk__1 != n24 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14752,zip_derived_cl14]) ).
thf(zip_derived_cl1090_815,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_816,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6929,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_cl1090,zip_derived_cl6920]) ).
thf(zip_derived_cl312,plain,
( ( sum @ n8 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_817,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_818,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl708,plain,
( ( sum @ n24 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_819,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14750,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n8 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6929,zip_derived_cl312,zip_derived_cl60,zip_derived_cl311,zip_derived_cl59,zip_derived_cl708,zip_derived_cl238]) ).
thf(zip_derived_cl16_820,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('141',plain,
( ( sk__1 != n24 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14750,zip_derived_cl16]) ).
thf(zip_derived_cl1089_821,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_822,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6928,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_cl1089,zip_derived_cl6920]) ).
thf(zip_derived_cl286,plain,
( ( sum @ n7 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_823,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285,plain,
( ( sum @ n7 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_824,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl707_825,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14748,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n7 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6928,zip_derived_cl286,zip_derived_cl59,zip_derived_cl285,zip_derived_cl58,zip_derived_cl707,zip_derived_cl211]) ).
thf(zip_derived_cl18_826,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('142',plain,
( ( sk__1 != n24 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14748,zip_derived_cl18]) ).
thf(zip_derived_cl1088_827,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_828,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6927,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_cl1088,zip_derived_cl6920]) ).
thf(zip_derived_cl260,plain,
( ( sum @ n6 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_829,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_830,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl706_831,plain,
( ( sum @ n24 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_832,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14746,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n6 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6927,zip_derived_cl260,zip_derived_cl58,zip_derived_cl259,zip_derived_cl57,zip_derived_cl706,zip_derived_cl184]) ).
thf(zip_derived_cl20_833,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('143',plain,
( ( sk__1 != n24 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14746,zip_derived_cl20]) ).
thf(zip_derived_cl1087_834,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_835,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6926,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_cl1087,zip_derived_cl6920]) ).
thf(zip_derived_cl234,plain,
( ( sum @ n5 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_836,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233,plain,
( ( sum @ n5 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_837,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl157_838,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14744,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n5 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6926,zip_derived_cl234,zip_derived_cl57,zip_derived_cl233,zip_derived_cl56,zip_derived_cl705,zip_derived_cl157]) ).
thf(zip_derived_cl22_839,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('144',plain,
( ( sk__1 != n24 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14744,zip_derived_cl22]) ).
thf(zip_derived_cl1086_840,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_841,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6925,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_cl1086,zip_derived_cl6920]) ).
thf(zip_derived_cl208,plain,
( ( sum @ n4 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_842,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_843,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_844,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156,plain,
( ( sum @ n2 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14742,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n4 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6925,zip_derived_cl208,zip_derived_cl56,zip_derived_cl207,zip_derived_cl55,zip_derived_cl704,zip_derived_cl156]) ).
thf(zip_derived_cl24_845,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('145',plain,
( ( sk__1 != n24 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14742,zip_derived_cl24]) ).
thf(zip_derived_cl1085_846,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_847,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6924,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_cl1085,zip_derived_cl6920]) ).
thf(zip_derived_cl182_848,plain,
( ( sum @ n3 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_849,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_850,plain,
( ( sum @ n3 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_851,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl703_852,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_853,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14740,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n3 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6924,zip_derived_cl182,zip_derived_cl55,zip_derived_cl181,zip_derived_cl54,zip_derived_cl703,zip_derived_cl129]) ).
thf(zip_derived_cl0_854,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('146',plain,
( ( sk__1 != n24 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14740,zip_derived_cl0]) ).
thf(zip_derived_cl1084_855,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6920_856,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n25 ) ) @ ( sum @ n24 @ ( pred @ ( sum @ sk_ @ n24 ) ) ) ) )
<= ( sk__1 = n24 ) ),
inference(demod,[status(thm)],[zip_derived_cl1899,zip_derived_cl51]) ).
thf(zip_derived_cl6923,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_cl1084,zip_derived_cl6920]) ).
thf(zip_derived_cl156_857,plain,
( ( sum @ n2 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_858,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_859,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_860,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_861,plain,
( ( sum @ n24 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl102_862,plain,
( ( sum @ n0 @ n23 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14738,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n2 )
& ( sk__1 = n24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6923,zip_derived_cl156,zip_derived_cl54,zip_derived_cl155,zip_derived_cl53,zip_derived_cl728,zip_derived_cl102]) ).
thf(zip_derived_cl2_863,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('147',plain,
( ( sk__1 != n24 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14738,zip_derived_cl2]) ).
thf(zip_derived_cl1084_864,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_865,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7001,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n2 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n2 @ n25 ) ) ) ) )
<= ( ( sk_ = n2 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1084,zip_derived_cl6998]) ).
thf(zip_derived_cl131_866,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_867,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_868,plain,
( ( sum @ n2 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_869,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl729_870,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_871,plain,
( ( sum @ n1 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14852,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n2 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7001,zip_derived_cl131,zip_derived_cl55,zip_derived_cl156,zip_derived_cl54,zip_derived_cl729,zip_derived_cl130]) ).
thf(zip_derived_cl25_872,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('148',plain,
( ( sk_ != n2 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14852,zip_derived_cl25]) ).
thf(zip_derived_cl1084_873,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_874,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6868,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_cl1084,zip_derived_cl6865]) ).
thf(zip_derived_cl155_875,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_876,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_877,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl701_878,plain,
( ( sum @ n23 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl750_879,plain,
( ( sum @ n25 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14624,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n2 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6868,zip_derived_cl155,zip_derived_cl53,zip_derived_cl154,zip_derived_cl78,zip_derived_cl701,zip_derived_cl750]) ).
thf(zip_derived_cl5_880,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('149',plain,
( ( sk_ != n2 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14624,zip_derived_cl5]) ).
thf(zip_derived_cl1084_881,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_882,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6813,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_cl1084,zip_derived_cl6810]) ).
thf(zip_derived_cl154_883,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_884,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_885,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674,plain,
( ( sum @ n22 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_886,plain,
( ( sum @ n24 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14508,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n2 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6813,zip_derived_cl154,zip_derived_cl78,zip_derived_cl153,zip_derived_cl77,zip_derived_cl674,zip_derived_cl722]) ).
thf(zip_derived_cl8_887,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('150',plain,
( ( sk_ != n2 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14508,zip_derived_cl8]) ).
thf(zip_derived_cl1084_888,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_889,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6734,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_cl1084,zip_derived_cl6731]) ).
thf(zip_derived_cl153_890,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_891,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_892,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647,plain,
( ( sum @ n21 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl694_893,plain,
( ( sum @ n23 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14394,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n2 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6734,zip_derived_cl153,zip_derived_cl77,zip_derived_cl152,zip_derived_cl76,zip_derived_cl647,zip_derived_cl694]) ).
thf(zip_derived_cl11_894,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('151',plain,
( ( sk_ != n2 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14394,zip_derived_cl11]) ).
thf(zip_derived_cl1084_895,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_896,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6677,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_cl1084,zip_derived_cl6674]) ).
thf(zip_derived_cl152_897,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_898,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_899,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl620,plain,
( ( sum @ n20 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666,plain,
( ( sum @ n22 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14280,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n2 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6677,zip_derived_cl152,zip_derived_cl76,zip_derived_cl151,zip_derived_cl75,zip_derived_cl620,zip_derived_cl666]) ).
thf(zip_derived_cl14_900,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('152',plain,
( ( sk_ != n2 )
| ( sk__1 != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14280,zip_derived_cl14]) ).
thf(zip_derived_cl1084_901,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_902,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6619,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_cl1084,zip_derived_cl6616]) ).
thf(zip_derived_cl151_903,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_904,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_905,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl593,plain,
( ( sum @ n19 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638,plain,
( ( sum @ n21 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14166,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n2 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6619,zip_derived_cl151,zip_derived_cl75,zip_derived_cl150,zip_derived_cl74,zip_derived_cl593,zip_derived_cl638]) ).
thf(zip_derived_cl17_906,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('153',plain,
( ( sk_ != n2 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14166,zip_derived_cl17]) ).
thf(zip_derived_cl1084_907,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_908,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6564,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_cl1084,zip_derived_cl6561]) ).
thf(zip_derived_cl150_909,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_910,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_911,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl566,plain,
( ( sum @ n18 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610,plain,
( ( sum @ n20 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14052,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n2 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6564,zip_derived_cl150,zip_derived_cl74,zip_derived_cl149,zip_derived_cl73,zip_derived_cl566,zip_derived_cl610]) ).
thf(zip_derived_cl20_912,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('154',plain,
( ( sk__1 != n18 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14052,zip_derived_cl20]) ).
thf(zip_derived_cl1084_913,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_914,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6504,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_cl1084,zip_derived_cl6501]) ).
thf(zip_derived_cl149_915,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_916,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_917,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl539,plain,
( ( sum @ n17 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582,plain,
( ( sum @ n19 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13936,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n2 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6504,zip_derived_cl149,zip_derived_cl73,zip_derived_cl148,zip_derived_cl72,zip_derived_cl539,zip_derived_cl582]) ).
thf(zip_derived_cl23_918,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('155',plain,
( ( sk_ != n2 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13936,zip_derived_cl23]) ).
thf(zip_derived_cl1084_919,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_920,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6442,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_cl1084,zip_derived_cl6439]) ).
thf(zip_derived_cl148_921,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_922,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_923,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512,plain,
( ( sum @ n16 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13822,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n2 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6442,zip_derived_cl148,zip_derived_cl72,zip_derived_cl147,zip_derived_cl71,zip_derived_cl512,zip_derived_cl554]) ).
thf(zip_derived_cl0_924,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('156',plain,
( ( sk_ != n2 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13822,zip_derived_cl0]) ).
thf(zip_derived_cl1084_925,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_926,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6387,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_cl1084,zip_derived_cl6384]) ).
thf(zip_derived_cl147_927,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_928,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_929,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485,plain,
( ( sum @ n15 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13708,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n2 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6387,zip_derived_cl147,zip_derived_cl71,zip_derived_cl146,zip_derived_cl70,zip_derived_cl485,zip_derived_cl526]) ).
thf(zip_derived_cl3_930,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('157',plain,
( ( sk_ != n2 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13708,zip_derived_cl3]) ).
thf(zip_derived_cl1084_931,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_932,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6332,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_cl1084,zip_derived_cl6329]) ).
thf(zip_derived_cl146_933,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_934,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_935,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458,plain,
( ( sum @ n14 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_936,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13594,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n2 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6332,zip_derived_cl146,zip_derived_cl70,zip_derived_cl145,zip_derived_cl69,zip_derived_cl458,zip_derived_cl498]) ).
thf(zip_derived_cl6_937,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('158',plain,
( ( sk_ != n2 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13594,zip_derived_cl6]) ).
thf(zip_derived_cl1084_938,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_939,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6272,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_cl1084,zip_derived_cl6269]) ).
thf(zip_derived_cl145_940,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_941,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_942,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431,plain,
( ( sum @ n13 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_943,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13480,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n2 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6272,zip_derived_cl145,zip_derived_cl69,zip_derived_cl144,zip_derived_cl68,zip_derived_cl431,zip_derived_cl470]) ).
thf(zip_derived_cl9_944,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('159',plain,
( ( sk_ != n2 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13480,zip_derived_cl9]) ).
thf(zip_derived_cl1084_945,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_946,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5179,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_cl1084,zip_derived_cl5176]) ).
thf(zip_derived_cl144_947,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_948,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_949,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_950,plain,
( ( sum @ n14 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12638,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n2 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5179,zip_derived_cl144,zip_derived_cl68,zip_derived_cl143,zip_derived_cl67,zip_derived_cl404,zip_derived_cl468]) ).
thf(zip_derived_cl12_951,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('160',plain,
( ( sk_ != n2 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12638,zip_derived_cl12]) ).
thf(zip_derived_cl1084_952,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_953,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4771,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_cl1084,zip_derived_cl4768]) ).
thf(zip_derived_cl143_954,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_955,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_956,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377_957,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440,plain,
( ( sum @ n13 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12286,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n2 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4771,zip_derived_cl143,zip_derived_cl67,zip_derived_cl142,zip_derived_cl66,zip_derived_cl377,zip_derived_cl440]) ).
thf(zip_derived_cl15_958,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('161',plain,
( ( sk__1 != n11 )
| ( sk_ != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12286,zip_derived_cl15]) ).
thf(zip_derived_cl1084_959,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_960,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4368,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_cl1084,zip_derived_cl4365]) ).
thf(zip_derived_cl142_961,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_962,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_963,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412,plain,
( ( sum @ n12 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11859,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n2 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4368,zip_derived_cl142,zip_derived_cl66,zip_derived_cl141,zip_derived_cl65,zip_derived_cl350,zip_derived_cl412]) ).
thf(zip_derived_cl18_964,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('162',plain,
( ( sk_ != n2 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11859,zip_derived_cl18]) ).
thf(zip_derived_cl1084_965,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_966,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3991,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_cl1084,zip_derived_cl3988]) ).
thf(zip_derived_cl141_967,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_968,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_969,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384,plain,
( ( sum @ n11 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11296,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n2 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3991,zip_derived_cl141,zip_derived_cl65,zip_derived_cl140,zip_derived_cl64,zip_derived_cl323,zip_derived_cl384]) ).
thf(zip_derived_cl21_970,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('163',plain,
( ( sk_ != n2 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11296,zip_derived_cl21]) ).
thf(zip_derived_cl1084_971,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_972,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3623,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_cl1084,zip_derived_cl3620]) ).
thf(zip_derived_cl140_973,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_974,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_975,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356,plain,
( ( sum @ n10 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10845,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n2 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3623,zip_derived_cl140,zip_derived_cl64,zip_derived_cl139,zip_derived_cl63,zip_derived_cl296,zip_derived_cl356]) ).
thf(zip_derived_cl24_976,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('164',plain,
( ( sk_ != n2 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10845,zip_derived_cl24]) ).
thf(zip_derived_cl1084_977,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_978,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3241,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_cl1084,zip_derived_cl3238]) ).
thf(zip_derived_cl139_979,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_980,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_981,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10501,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n2 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3241,zip_derived_cl139,zip_derived_cl63,zip_derived_cl138,zip_derived_cl62,zip_derived_cl269,zip_derived_cl328]) ).
thf(zip_derived_cl1_982,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('165',plain,
( ( sk_ != n2 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10501,zip_derived_cl1]) ).
thf(zip_derived_cl1084_983,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_984,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2880,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_cl1084,zip_derived_cl2877]) ).
thf(zip_derived_cl138_985,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_986,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_987,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_988,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10220,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n2 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2880,zip_derived_cl138,zip_derived_cl62,zip_derived_cl137,zip_derived_cl61,zip_derived_cl242,zip_derived_cl300]) ).
thf(zip_derived_cl4_989,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('166',plain,
( ( sk_ != n2 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10220,zip_derived_cl4]) ).
thf(zip_derived_cl1084_990,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_991,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2654,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_cl1084,zip_derived_cl2639]) ).
thf(zip_derived_cl137_992,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_993,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_994,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10133,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n2 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2654,zip_derived_cl137,zip_derived_cl61,zip_derived_cl136,zip_derived_cl60,zip_derived_cl215,zip_derived_cl272]) ).
thf(zip_derived_cl7_995,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('167',plain,
( ( sk_ != n2 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10133,zip_derived_cl7]) ).
thf(zip_derived_cl1084_996,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_997,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2411,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_cl1084,zip_derived_cl2399]) ).
thf(zip_derived_cl136_998,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_999,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_1000,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1001,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10050,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n2 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2411,zip_derived_cl136,zip_derived_cl60,zip_derived_cl135,zip_derived_cl59,zip_derived_cl188,zip_derived_cl244]) ).
thf(zip_derived_cl10_1002,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('168',plain,
( ( sk_ != n2 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10050,zip_derived_cl10]) ).
thf(zip_derived_cl1084_1003,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_1004,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2068,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_cl1084,zip_derived_cl2064]) ).
thf(zip_derived_cl134_1005,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1006,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl133_1007,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1008,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl134_1009,plain,
( ( sum @ n2 @ n3 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_1010,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9931,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n2 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2068,zip_derived_cl134,zip_derived_cl58,zip_derived_cl133,zip_derived_cl57,zip_derived_cl134,zip_derived_cl188]) ).
thf(zip_derived_cl16_1011,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('169',plain,
( ( sk_ != n2 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9931,zip_derived_cl16]) ).
thf(zip_derived_cl1084_1012,plain,
( ( sk_ = n2 )
<= ( sk_ = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_1013,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2012,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_cl1084,zip_derived_cl2009]) ).
thf(zip_derived_cl133_1014,plain,
( ( sum @ n2 @ n2 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1015,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl132_1016,plain,
( ( sum @ n2 @ n1 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1017,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_1018,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl160_1019,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9878,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n2 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2012,zip_derived_cl133,zip_derived_cl57,zip_derived_cl132,zip_derived_cl56,zip_derived_cl107,zip_derived_cl160]) ).
thf(zip_derived_cl19_1020,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('170',plain,
( ( sk_ != n2 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9878,zip_derived_cl19]) ).
thf(zip_derived_cl1107_1021,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1022,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6700,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_cl1107,zip_derived_cl6674]) ).
thf(zip_derived_cl750_1023,plain,
( ( sum @ n25 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1024,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl749,plain,
( ( sum @ n25 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1025,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585,plain,
( ( sum @ n19 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14330,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n25 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6700,zip_derived_cl750,zip_derived_cl73,zip_derived_cl749,zip_derived_cl72,zip_derived_cl617,zip_derived_cl585]) ).
thf(zip_derived_cl20_1026,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('171',plain,
( ( sk__1 != n20 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14330,zip_derived_cl20]) ).
thf(zip_derived_cl1106_1027,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1028,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6699,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_cl1106,zip_derived_cl6674]) ).
thf(zip_derived_cl724_1029,plain,
( ( sum @ n24 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1030,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl723_1031,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1032,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616_1033,plain,
( ( sum @ n20 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558,plain,
( ( sum @ n18 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14328,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n24 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6699,zip_derived_cl724,zip_derived_cl72,zip_derived_cl723,zip_derived_cl71,zip_derived_cl616,zip_derived_cl558]) ).
thf(zip_derived_cl22_1034,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('172',plain,
( ( sk__1 != n20 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14328,zip_derived_cl22]) ).
thf(zip_derived_cl1104_1035,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1036,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6697,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_cl1104,zip_derived_cl6674]) ).
thf(zip_derived_cl672_1037,plain,
( ( sum @ n22 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1038,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl671_1039,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1040,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614,plain,
( ( sum @ n20 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14324,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n22 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6697,zip_derived_cl672,zip_derived_cl70,zip_derived_cl671,zip_derived_cl69,zip_derived_cl614,zip_derived_cl504]) ).
thf(zip_derived_cl0_1041,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('173',plain,
( ( sk__1 != n20 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14324,zip_derived_cl0]) ).
thf(zip_derived_cl1103_1042,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1043,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6696,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_cl1103,zip_derived_cl6674]) ).
thf(zip_derived_cl646_1044,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1045,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl645_1046,plain,
( ( sum @ n21 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1047,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14322,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n21 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6696,zip_derived_cl646,zip_derived_cl69,zip_derived_cl645,zip_derived_cl68,zip_derived_cl613,zip_derived_cl477]) ).
thf(zip_derived_cl2_1048,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('174',plain,
( ( sk__1 != n20 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14322,zip_derived_cl2]) ).
thf(zip_derived_cl1102_1049,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1050,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6695,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_cl1102,zip_derived_cl6674]) ).
thf(zip_derived_cl620_1051,plain,
( ( sum @ n20 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1052,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl619_1053,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1054,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612_1055,plain,
( ( sum @ n20 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14320,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n20 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6695,zip_derived_cl620,zip_derived_cl68,zip_derived_cl619,zip_derived_cl67,zip_derived_cl612,zip_derived_cl450]) ).
thf(zip_derived_cl4_1056,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('175',plain,
( ( sk__1 != n20 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14320,zip_derived_cl4]) ).
thf(zip_derived_cl1101_1057,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1058,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6694,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_cl1101,zip_derived_cl6674]) ).
thf(zip_derived_cl594_1059,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1060,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl593_1061,plain,
( ( sum @ n19 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1062,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611_1063,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14318,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n19 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6694,zip_derived_cl594,zip_derived_cl67,zip_derived_cl593,zip_derived_cl66,zip_derived_cl611,zip_derived_cl423]) ).
thf(zip_derived_cl6_1064,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('176',plain,
( ( sk__1 != n20 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14318,zip_derived_cl6]) ).
thf(zip_derived_cl1100_1065,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1066,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6693,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_cl1100,zip_derived_cl6674]) ).
thf(zip_derived_cl568,plain,
( ( sum @ n18 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1067,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_1068,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1069,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_1070,plain,
( ( sum @ n20 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14316,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n18 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6693,zip_derived_cl568,zip_derived_cl66,zip_derived_cl567,zip_derived_cl65,zip_derived_cl610,zip_derived_cl396]) ).
thf(zip_derived_cl8_1071,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('177',plain,
( ( sk__1 != n20 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14316,zip_derived_cl8]) ).
thf(zip_derived_cl1099_1072,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1073,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6692,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_cl1099,zip_derived_cl6674]) ).
thf(zip_derived_cl542,plain,
( ( sum @ n17 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1074,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl541,plain,
( ( sum @ n17 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1075,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl609,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_1076,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14312,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n17 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6692,zip_derived_cl542,zip_derived_cl65,zip_derived_cl541,zip_derived_cl64,zip_derived_cl609,zip_derived_cl369]) ).
thf(zip_derived_cl10_1077,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('178',plain,
( ( sk__1 != n20 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14312,zip_derived_cl10]) ).
thf(zip_derived_cl1098_1078,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1079,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6691,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_cl1098,zip_derived_cl6674]) ).
thf(zip_derived_cl516,plain,
( ( sum @ n16 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1080,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1081,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608,plain,
( ( sum @ n20 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_1082,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14310,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n16 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6691,zip_derived_cl516,zip_derived_cl64,zip_derived_cl515,zip_derived_cl63,zip_derived_cl608,zip_derived_cl342]) ).
thf(zip_derived_cl12_1083,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('179',plain,
( ( sk__1 != n20 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14310,zip_derived_cl12]) ).
thf(zip_derived_cl1097_1084,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1085,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6690,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_cl1097,zip_derived_cl6674]) ).
thf(zip_derived_cl490,plain,
( ( sum @ n15 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1086,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489,plain,
( ( sum @ n15 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1087,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl607,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14308,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n15 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6690,zip_derived_cl490,zip_derived_cl63,zip_derived_cl489,zip_derived_cl62,zip_derived_cl607,zip_derived_cl315]) ).
thf(zip_derived_cl14_1088,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('180',plain,
( ( sk__1 != n20 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14308,zip_derived_cl14]) ).
thf(zip_derived_cl1096_1089,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1090,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6689,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_cl1096,zip_derived_cl6674]) ).
thf(zip_derived_cl464,plain,
( ( sum @ n14 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1091,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1092,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl606,plain,
( ( sum @ n20 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_1093,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14306,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n14 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6689,zip_derived_cl464,zip_derived_cl62,zip_derived_cl463,zip_derived_cl61,zip_derived_cl606,zip_derived_cl288]) ).
thf(zip_derived_cl16_1094,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('181',plain,
( ( sk__1 != n20 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14306,zip_derived_cl16]) ).
thf(zip_derived_cl1095_1095,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1096,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6688,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_cl1095,zip_derived_cl6674]) ).
thf(zip_derived_cl438,plain,
( ( sum @ n13 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1097,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437,plain,
( ( sum @ n13 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1098,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl605,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_1099,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14304,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n13 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6688,zip_derived_cl438,zip_derived_cl61,zip_derived_cl437,zip_derived_cl60,zip_derived_cl605,zip_derived_cl261]) ).
thf(zip_derived_cl18_1100,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('182',plain,
( ( sk__1 != n20 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14304,zip_derived_cl18]) ).
thf(zip_derived_cl1094_1101,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1102,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6687,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_cl1094,zip_derived_cl6674]) ).
thf(zip_derived_cl412_1103,plain,
( ( sum @ n12 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1104,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1105,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_1106,plain,
( ( sum @ n6 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14302,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n12 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6687,zip_derived_cl412,zip_derived_cl60,zip_derived_cl411,zip_derived_cl59,zip_derived_cl604,zip_derived_cl260]) ).
thf(zip_derived_cl20_1107,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('183',plain,
( ( sk__1 != n20 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14302,zip_derived_cl20]) ).
thf(zip_derived_cl1093_1108,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1109,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6686,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_cl1093,zip_derived_cl6674]) ).
thf(zip_derived_cl386_1110,plain,
( ( sum @ n11 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1111,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_1112,plain,
( ( sum @ n11 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1113,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603_1114,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_1115,plain,
( ( sum @ n5 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14300,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n11 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6686,zip_derived_cl386,zip_derived_cl59,zip_derived_cl385,zip_derived_cl58,zip_derived_cl603,zip_derived_cl233]) ).
thf(zip_derived_cl22_1116,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('184',plain,
( ( sk__1 != n20 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14300,zip_derived_cl22]) ).
thf(zip_derived_cl1092_1117,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1118,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6685,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_cl1092,zip_derived_cl6674]) ).
thf(zip_derived_cl360,plain,
( ( sum @ n10 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1119,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1120,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602_1121,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206,plain,
( ( sum @ n4 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14298,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n10 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6685,zip_derived_cl360,zip_derived_cl58,zip_derived_cl359,zip_derived_cl57,zip_derived_cl602,zip_derived_cl206]) ).
thf(zip_derived_cl24_1122,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('185',plain,
( ( sk__1 != n20 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14298,zip_derived_cl24]) ).
thf(zip_derived_cl1091_1123,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1124,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6684,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_cl1091,zip_derived_cl6674]) ).
thf(zip_derived_cl334,plain,
( ( sum @ n9 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1125,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_1126,plain,
( ( sum @ n9 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1127,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_1128,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14296,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n9 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6684,zip_derived_cl334,zip_derived_cl57,zip_derived_cl333,zip_derived_cl56,zip_derived_cl601,zip_derived_cl179]) ).
thf(zip_derived_cl0_1129,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('186',plain,
( ( sk__1 != n20 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14296,zip_derived_cl0]) ).
thf(zip_derived_cl1090_1130,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1131,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6683,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_cl1090,zip_derived_cl6674]) ).
thf(zip_derived_cl308,plain,
( ( sum @ n8 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1132,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1133,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600_1134,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_1135,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14294,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n8 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6683,zip_derived_cl308,zip_derived_cl56,zip_derived_cl307,zip_derived_cl55,zip_derived_cl600,zip_derived_cl152]) ).
thf(zip_derived_cl2_1136,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('187',plain,
( ( sk__1 != n20 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14294,zip_derived_cl2]) ).
thf(zip_derived_cl1089_1137,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1138,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6682,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_cl1089,zip_derived_cl6674]) ).
thf(zip_derived_cl282,plain,
( ( sum @ n7 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1139,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281,plain,
( ( sum @ n7 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1140,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl599_1141,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_1142,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14290,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n7 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6682,zip_derived_cl282,zip_derived_cl55,zip_derived_cl281,zip_derived_cl54,zip_derived_cl599,zip_derived_cl125]) ).
thf(zip_derived_cl4_1143,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('188',plain,
( ( sk__1 != n20 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14290,zip_derived_cl4]) ).
thf(zip_derived_cl1088_1144,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1145,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6681,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_cl1088,zip_derived_cl6674]) ).
thf(zip_derived_cl256,plain,
( ( sum @ n6 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1146,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1147,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl624_1148,plain,
( ( sum @ n20 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl98_1149,plain,
( ( sum @ n0 @ n19 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14288,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n6 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6681,zip_derived_cl256,zip_derived_cl54,zip_derived_cl255,zip_derived_cl53,zip_derived_cl624,zip_derived_cl98]) ).
thf(zip_derived_cl6_1150,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('189',plain,
( ( sk__1 != n20 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14288,zip_derived_cl6]) ).
thf(zip_derived_cl1087_1151,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1152,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6680,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_cl1087,zip_derived_cl6674]) ).
thf(zip_derived_cl230,plain,
( ( sum @ n5 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1153,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1154,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl623_1155,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747,plain,
( ( sum @ n25 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14286,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n5 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6680,zip_derived_cl230,zip_derived_cl53,zip_derived_cl229,zip_derived_cl78,zip_derived_cl623,zip_derived_cl747]) ).
thf(zip_derived_cl8_1156,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('190',plain,
( ( sk__1 != n20 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14286,zip_derived_cl8]) ).
thf(zip_derived_cl1086_1157,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1158,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6679,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_cl1086,zip_derived_cl6674]) ).
thf(zip_derived_cl204,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1159,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1160,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622,plain,
( ( sum @ n20 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_1161,plain,
( ( sum @ n24 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14284,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n4 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6679,zip_derived_cl204,zip_derived_cl78,zip_derived_cl203,zip_derived_cl77,zip_derived_cl622,zip_derived_cl720]) ).
thf(zip_derived_cl10_1162,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('191',plain,
( ( sk__1 != n20 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14284,zip_derived_cl10]) ).
thf(zip_derived_cl1085_1163,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6674_1164,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n21 ) ) @ ( sum @ n20 @ ( pred @ ( sum @ sk_ @ n20 ) ) ) ) )
<= ( sk__1 = n20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl47]) ).
thf(zip_derived_cl6678,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_cl1085,zip_derived_cl6674]) ).
thf(zip_derived_cl178_1165,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1166,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_1167,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1168,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_1169,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl693_1170,plain,
( ( sum @ n23 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14282,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n3 )
& ( sk__1 = n20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6678,zip_derived_cl178,zip_derived_cl77,zip_derived_cl177,zip_derived_cl76,zip_derived_cl621,zip_derived_cl693]) ).
thf(zip_derived_cl12_1171,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('192',plain,
( ( sk__1 != n20 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14282,zip_derived_cl12]) ).
thf(zip_derived_cl1107_1172,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1173,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7024,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n25 @ n25 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1107,zip_derived_cl6998]) ).
thf(zip_derived_cl729_1174,plain,
( ( sum @ n25 @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1175,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl754_1176,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1177,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl752_1178,plain,
( ( sum @ n25 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_1179,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14902,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n25 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7024,zip_derived_cl729,zip_derived_cl78,zip_derived_cl754,zip_derived_cl77,zip_derived_cl752,zip_derived_cl725]) ).
thf(zip_derived_cl5_1180,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('193',plain,
( ( sk_ != n25 )
| ( sk__1 != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14902,zip_derived_cl5]) ).
thf(zip_derived_cl1107_1181,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_1182,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6891,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_cl1107,zip_derived_cl6865]) ).
thf(zip_derived_cl753_1183,plain,
( ( sum @ n25 @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1184,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl752_1185,plain,
( ( sum @ n25 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1186,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698_1187,plain,
( ( sum @ n23 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl669_1188,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14674,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n25 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6891,zip_derived_cl753,zip_derived_cl76,zip_derived_cl752,zip_derived_cl75,zip_derived_cl698,zip_derived_cl669]) ).
thf(zip_derived_cl11_1189,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('194',plain,
( ( sk_ != n25 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14674,zip_derived_cl11]) ).
thf(zip_derived_cl1107_1190,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_1191,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6836,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_cl1107,zip_derived_cl6810]) ).
thf(zip_derived_cl752_1192,plain,
( ( sum @ n25 @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1193,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl751_1194,plain,
( ( sum @ n25 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1195,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl671_1196,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl641,plain,
( ( sum @ n21 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14560,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n25 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6836,zip_derived_cl752,zip_derived_cl75,zip_derived_cl751,zip_derived_cl74,zip_derived_cl671,zip_derived_cl641]) ).
thf(zip_derived_cl14_1197,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('195',plain,
( ( sk_ != n25 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14560,zip_derived_cl14]) ).
thf(zip_derived_cl1107_1198,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_1199,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6757,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_cl1107,zip_derived_cl6731]) ).
thf(zip_derived_cl751_1200,plain,
( ( sum @ n25 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1201,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl750_1202,plain,
( ( sum @ n25 @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1203,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644,plain,
( ( sum @ n21 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613_1204,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14444,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n25 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6757,zip_derived_cl751,zip_derived_cl74,zip_derived_cl750,zip_derived_cl73,zip_derived_cl644,zip_derived_cl613]) ).
thf(zip_derived_cl17_1205,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('196',plain,
( ( sk_ != n25 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14444,zip_derived_cl17]) ).
thf(zip_derived_cl1107_1206,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_1207,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6642,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_cl1107,zip_derived_cl6616]) ).
thf(zip_derived_cl749_1208,plain,
( ( sum @ n25 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1209,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl748,plain,
( ( sum @ n25 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1210,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590,plain,
( ( sum @ n19 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14216,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n25 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6642,zip_derived_cl749,zip_derived_cl72,zip_derived_cl748,zip_derived_cl71,zip_derived_cl590,zip_derived_cl557]) ).
thf(zip_derived_cl23_1211,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('197',plain,
( ( sk_ != n25 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14216,zip_derived_cl23]) ).
thf(zip_derived_cl1107_1212,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_1213,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6587,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_cl1107,zip_derived_cl6561]) ).
thf(zip_derived_cl748_1214,plain,
( ( sum @ n25 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1215,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747_1216,plain,
( ( sum @ n25 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1217,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14102,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n25 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6587,zip_derived_cl748,zip_derived_cl71,zip_derived_cl747,zip_derived_cl70,zip_derived_cl563,zip_derived_cl529]) ).
thf(zip_derived_cl0_1218,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('198',plain,
( ( sk__1 != n18 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14102,zip_derived_cl0]) ).
thf(zip_derived_cl1107_1219,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_1220,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6527,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_cl1107,zip_derived_cl6501]) ).
thf(zip_derived_cl747_1221,plain,
( ( sum @ n25 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1222,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746,plain,
( ( sum @ n25 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1223,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536,plain,
( ( sum @ n17 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13988,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n25 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6527,zip_derived_cl747,zip_derived_cl70,zip_derived_cl746,zip_derived_cl69,zip_derived_cl536,zip_derived_cl501]) ).
thf(zip_derived_cl3_1224,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('199',plain,
( ( sk_ != n25 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13988,zip_derived_cl3]) ).
thf(zip_derived_cl1107_1225,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_1226,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6465,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_cl1107,zip_derived_cl6439]) ).
thf(zip_derived_cl746_1227,plain,
( ( sum @ n25 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1228,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745,plain,
( ( sum @ n25 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1229,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl509,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_1230,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13872,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n25 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6465,zip_derived_cl746,zip_derived_cl69,zip_derived_cl745,zip_derived_cl68,zip_derived_cl509,zip_derived_cl473]) ).
thf(zip_derived_cl6_1231,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('200',plain,
( ( sk_ != n25 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13872,zip_derived_cl6]) ).
thf(zip_derived_cl1107_1232,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_1233,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6410,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_cl1107,zip_derived_cl6384]) ).
thf(zip_derived_cl745_1234,plain,
( ( sum @ n25 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1235,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744,plain,
( ( sum @ n25 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1236,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482,plain,
( ( sum @ n15 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13758,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n25 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6410,zip_derived_cl745,zip_derived_cl68,zip_derived_cl744,zip_derived_cl67,zip_derived_cl482,zip_derived_cl445]) ).
thf(zip_derived_cl9_1237,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('201',plain,
( ( sk_ != n25 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13758,zip_derived_cl9]) ).
thf(zip_derived_cl1122_1238,plain,
( ( sk__1 = n14 )
<= ( sk__1 = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl1107_1239,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl26_1240,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_cl1600,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_cl1107,zip_derived_cl26]) ).
thf(zip_derived_cl6084,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_cl1122,zip_derived_cl1600]) ).
thf(zip_derived_cl41_1241,plain,
( ( succ @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6162,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_cl6084,zip_derived_cl41]) ).
thf(zip_derived_cl744_1242,plain,
( ( sum @ n25 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1243,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743,plain,
( ( sum @ n25 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1244,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417_1245,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13406,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n25 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6162,zip_derived_cl744,zip_derived_cl67,zip_derived_cl743,zip_derived_cl66,zip_derived_cl455,zip_derived_cl417]) ).
thf(zip_derived_cl12_1246,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('202',plain,
( ( sk_ != n25 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13406,zip_derived_cl12]) ).
thf(zip_derived_cl1121_1247,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl1600_1248,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_cl1107,zip_derived_cl26]) ).
thf(zip_derived_cl6083,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_cl1121,zip_derived_cl1600]) ).
thf(zip_derived_cl40_1249,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6161,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_cl6083,zip_derived_cl40]) ).
thf(zip_derived_cl743_1250,plain,
( ( sum @ n25 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1251,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742,plain,
( ( sum @ n25 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1252,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_1253,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13404,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n25 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6161,zip_derived_cl743,zip_derived_cl66,zip_derived_cl742,zip_derived_cl65,zip_derived_cl428,zip_derived_cl415]) ).
thf(zip_derived_cl15_1254,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('203',plain,
( ( sk_ != n25 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13404,zip_derived_cl15]) ).
thf(zip_derived_cl1107_1255,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_1256,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5202,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n25 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n25 @ n12 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1107,zip_derived_cl5176]) ).
thf(zip_derived_cl742_1257,plain,
( ( sum @ n25 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1258,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741,plain,
( ( sum @ n25 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1259,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387,plain,
( ( sum @ n11 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12690,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n25 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5202,zip_derived_cl742,zip_derived_cl65,zip_derived_cl741,zip_derived_cl64,zip_derived_cl401,zip_derived_cl387]) ).
thf(zip_derived_cl18_1260,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('204',plain,
( ( sk_ != n25 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12690,zip_derived_cl18]) ).
thf(zip_derived_cl1107_1261,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_1262,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4794,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_cl1107,zip_derived_cl4768]) ).
thf(zip_derived_cl741_1263,plain,
( ( sum @ n25 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1264,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl740,plain,
( ( sum @ n25 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1265,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_1266,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12338,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n25 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4794,zip_derived_cl741,zip_derived_cl64,zip_derived_cl740,zip_derived_cl63,zip_derived_cl374,zip_derived_cl359]) ).
thf(zip_derived_cl21_1267,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('205',plain,
( ( sk__1 != n11 )
| ( sk_ != n25 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12338,zip_derived_cl21]) ).
thf(zip_derived_cl740_1268,plain,
( ( sum @ n25 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1269,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_1270,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4391,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_cl1107,zip_derived_cl4365]) ).
thf(zip_derived_cl12054,plain,
( ( sk__2
= ( sum @ ( pred @ n10 ) @ ( sum @ n10 @ ( pred @ ( sum @ n25 @ n10 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl740,zip_derived_cl4391]) ).
thf(zip_derived_cl63_1271,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl739,plain,
( ( sum @ n25 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1272,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331,plain,
( ( sum @ n9 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12056,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n25 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12054,zip_derived_cl63,zip_derived_cl739,zip_derived_cl62,zip_derived_cl347,zip_derived_cl331]) ).
thf(zip_derived_cl24_1273,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('206',plain,
( ( sk_ != n25 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12056,zip_derived_cl24]) ).
thf(zip_derived_cl739_1274,plain,
( ( sum @ n25 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1275,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_1276,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4014,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_cl1107,zip_derived_cl3988]) ).
thf(zip_derived_cl12044,plain,
( ( sk__2
= ( sum @ ( pred @ n9 ) @ ( sum @ n9 @ ( pred @ ( sum @ n25 @ n9 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl739,zip_derived_cl4014]) ).
thf(zip_derived_cl62_1277,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738,plain,
( ( sum @ n25 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1278,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12047,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n25 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12044,zip_derived_cl62,zip_derived_cl738,zip_derived_cl61,zip_derived_cl320,zip_derived_cl303]) ).
thf(zip_derived_cl1_1279,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('207',plain,
( ( sk_ != n25 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12047,zip_derived_cl1]) ).
thf(zip_derived_cl738_1280,plain,
( ( sum @ n25 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1281,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_1282,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3646,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_cl1107,zip_derived_cl3620]) ).
thf(zip_derived_cl12033,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n8 @ ( pred @ ( sum @ n25 @ n8 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl738,zip_derived_cl3646]) ).
thf(zip_derived_cl61_1283,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737,plain,
( ( sum @ n25 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1284,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12035,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n25 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12033,zip_derived_cl61,zip_derived_cl737,zip_derived_cl60,zip_derived_cl293,zip_derived_cl275]) ).
thf(zip_derived_cl4_1285,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('208',plain,
( ( sk_ != n25 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12035,zip_derived_cl4]) ).
thf(zip_derived_cl737_1286,plain,
( ( sum @ n25 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1287,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_1288,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3264,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_cl1107,zip_derived_cl3238]) ).
thf(zip_derived_cl12023,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n7 @ ( pred @ ( sum @ n25 @ n7 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl3264]) ).
thf(zip_derived_cl60_1289,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736,plain,
( ( sum @ n25 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1290,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12028,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n25 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12023,zip_derived_cl60,zip_derived_cl736,zip_derived_cl59,zip_derived_cl266,zip_derived_cl247]) ).
thf(zip_derived_cl7_1291,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('209',plain,
( ( sk_ != n25 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12028,zip_derived_cl7]) ).
thf(zip_derived_cl736_1292,plain,
( ( sum @ n25 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1293,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_1294,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2903,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_cl1107,zip_derived_cl2877]) ).
thf(zip_derived_cl12011,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n6 @ ( pred @ ( sum @ n25 @ n6 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl736,zip_derived_cl2903]) ).
thf(zip_derived_cl59_1295,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735,plain,
( ( sum @ n25 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1296,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_1297,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12015,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n25 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12011,zip_derived_cl59,zip_derived_cl735,zip_derived_cl58,zip_derived_cl239,zip_derived_cl219]) ).
thf(zip_derived_cl10_1298,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('210',plain,
( ( sk_ != n25 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12015,zip_derived_cl10]) ).
thf(zip_derived_cl735_1299,plain,
( ( sum @ n25 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1300,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1301,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2677,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_cl1107,zip_derived_cl2639]) ).
thf(zip_derived_cl12001,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n5 @ ( pred @ ( sum @ n25 @ n5 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl2677]) ).
thf(zip_derived_cl58_1302,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734,plain,
( ( sum @ n25 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1303,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_1304,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12006,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n25 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12001,zip_derived_cl58,zip_derived_cl734,zip_derived_cl57,zip_derived_cl212,zip_derived_cl191]) ).
thf(zip_derived_cl13_1305,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('211',plain,
( ( sk_ != n25 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12006,zip_derived_cl13]) ).
thf(zip_derived_cl734_1306,plain,
( ( sum @ n25 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1307,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_1308,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2434,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_cl1107,zip_derived_cl2399]) ).
thf(zip_derived_cl11989,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n4 @ ( pred @ ( sum @ n25 @ n4 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl2434]) ).
thf(zip_derived_cl57_1309,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_1310,plain,
( ( sum @ n25 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1311,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_1312,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11993,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n25 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11989,zip_derived_cl57,zip_derived_cl733,zip_derived_cl56,zip_derived_cl185,zip_derived_cl163]) ).
thf(zip_derived_cl16_1313,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('212',plain,
( ( sk_ != n25 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11993,zip_derived_cl16]) ).
thf(zip_derived_cl732_1314,plain,
( ( sum @ n25 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1315,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_1316,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2091,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_cl1107,zip_derived_cl2064]) ).
thf(zip_derived_cl11967,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n2 @ ( pred @ ( sum @ n25 @ n2 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl2091]) ).
thf(zip_derived_cl55_1317,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731,plain,
( ( sum @ n25 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1318,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_1319,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl107_1320,plain,
( ( sum @ n1 @ n2 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11971,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n25 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11967,zip_derived_cl55,zip_derived_cl731,zip_derived_cl54,zip_derived_cl131,zip_derived_cl107]) ).
thf(zip_derived_cl22_1321,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('213',plain,
( ( sk_ != n25 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11971,zip_derived_cl22]) ).
thf(zip_derived_cl731_1322,plain,
( ( sum @ n25 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1107_1323,plain,
( ( sk_ = n25 )
<= ( sk_ = n25 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_1324,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2035,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_cl1107,zip_derived_cl2009]) ).
thf(zip_derived_cl11957,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n1 @ ( pred @ ( sum @ n25 @ n1 ) ) ) ) )
<= ( ( sk_ = n25 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl2035]) ).
thf(zip_derived_cl54_1325,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_1326,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1327,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl130_1328,plain,
( ( sum @ n1 @ n25 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl79_1329,plain,
( ( sum @ n0 @ n0 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11962,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n25 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11957,zip_derived_cl54,zip_derived_cl730,zip_derived_cl53,zip_derived_cl130,zip_derived_cl79]) ).
thf(zip_derived_cl25_1330,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('214',plain,
( ( sk_ != n25 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11962,zip_derived_cl25]) ).
thf(zip_derived_cl1106_1331,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1332,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7023,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n24 @ n25 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1106,zip_derived_cl6998]) ).
thf(zip_derived_cl703_1333,plain,
( ( sum @ n24 @ n0 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1334,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl728_1335,plain,
( ( sum @ n24 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1336,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl751_1337,plain,
( ( sum @ n25 @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl698_1338,plain,
( ( sum @ n23 @ n21 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14900,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n24 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7023,zip_derived_cl703,zip_derived_cl77,zip_derived_cl728,zip_derived_cl76,zip_derived_cl751,zip_derived_cl698]) ).
thf(zip_derived_cl7_1339,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('215',plain,
( ( sk__1 != n25 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14900,zip_derived_cl7]) ).
thf(zip_derived_cl1104_1340,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1341,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7021,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n22 @ n25 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1104,zip_derived_cl6998]) ).
thf(zip_derived_cl651_1342,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1343,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl676_1344,plain,
( ( sum @ n22 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1345,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl749_1346,plain,
( ( sum @ n25 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644_1347,plain,
( ( sum @ n21 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14896,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n22 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7021,zip_derived_cl651,zip_derived_cl75,zip_derived_cl676,zip_derived_cl74,zip_derived_cl749,zip_derived_cl644]) ).
thf(zip_derived_cl11_1348,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('216',plain,
( ( sk__1 != n25 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14896,zip_derived_cl11]) ).
thf(zip_derived_cl1103_1349,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1350,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7020,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n21 @ n25 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1103,zip_derived_cl6998]) ).
thf(zip_derived_cl625_1351,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1352,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_1353,plain,
( ( sum @ n21 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1354,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl748_1355,plain,
( ( sum @ n25 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617_1356,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14894,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n21 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7020,zip_derived_cl625,zip_derived_cl74,zip_derived_cl650,zip_derived_cl73,zip_derived_cl748,zip_derived_cl617]) ).
thf(zip_derived_cl13_1357,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('217',plain,
( ( sk__1 != n25 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14894,zip_derived_cl13]) ).
thf(zip_derived_cl1102_1358,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1359,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7019,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n20 @ n25 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1102,zip_derived_cl6998]) ).
thf(zip_derived_cl599_1360,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1361,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl624_1362,plain,
( ( sum @ n20 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1363,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl747_1364,plain,
( ( sum @ n25 @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590_1365,plain,
( ( sum @ n19 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14892,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n20 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7019,zip_derived_cl599,zip_derived_cl73,zip_derived_cl624,zip_derived_cl72,zip_derived_cl747,zip_derived_cl590]) ).
thf(zip_derived_cl15_1366,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('218',plain,
( ( sk__1 != n25 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14892,zip_derived_cl15]) ).
thf(zip_derived_cl1101_1367,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1368,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7018,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n19 @ n25 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1101,zip_derived_cl6998]) ).
thf(zip_derived_cl573_1369,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1370,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_1371,plain,
( ( sum @ n19 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1372,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746_1373,plain,
( ( sum @ n25 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563_1374,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14890,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n19 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7018,zip_derived_cl573,zip_derived_cl72,zip_derived_cl598,zip_derived_cl71,zip_derived_cl746,zip_derived_cl563]) ).
thf(zip_derived_cl17_1375,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('219',plain,
( ( sk__1 != n25 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14890,zip_derived_cl17]) ).
thf(zip_derived_cl1100_1376,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1377,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7017,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n18 @ n25 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1100,zip_derived_cl6998]) ).
thf(zip_derived_cl547_1378,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1379,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572_1380,plain,
( ( sum @ n18 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1381,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745_1382,plain,
( ( sum @ n25 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_1383,plain,
( ( sum @ n17 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14888,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n18 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7017,zip_derived_cl547,zip_derived_cl71,zip_derived_cl572,zip_derived_cl70,zip_derived_cl745,zip_derived_cl536]) ).
thf(zip_derived_cl19_1384,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('220',plain,
( ( sk__1 != n25 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14888,zip_derived_cl19]) ).
thf(zip_derived_cl1099_1385,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1386,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7016,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n17 @ n25 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1099,zip_derived_cl6998]) ).
thf(zip_derived_cl521_1387,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1388,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_1389,plain,
( ( sum @ n17 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1390,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744_1391,plain,
( ( sum @ n25 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl509_1392,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14884,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n17 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7016,zip_derived_cl521,zip_derived_cl70,zip_derived_cl546,zip_derived_cl69,zip_derived_cl744,zip_derived_cl509]) ).
thf(zip_derived_cl21_1393,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('221',plain,
( ( sk__1 != n25 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14884,zip_derived_cl21]) ).
thf(zip_derived_cl1098_1394,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1395,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7015,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n16 @ n25 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl6998]) ).
thf(zip_derived_cl495_1396,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1397,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520_1398,plain,
( ( sum @ n16 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1399,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743_1400,plain,
( ( sum @ n25 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_1401,plain,
( ( sum @ n15 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14882,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n16 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7015,zip_derived_cl495,zip_derived_cl69,zip_derived_cl520,zip_derived_cl68,zip_derived_cl743,zip_derived_cl482]) ).
thf(zip_derived_cl23_1402,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('222',plain,
( ( sk__1 != n25 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14882,zip_derived_cl23]) ).
thf(zip_derived_cl1097_1403,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1404,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7014,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n15 @ n25 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1097,zip_derived_cl6998]) ).
thf(zip_derived_cl469_1405,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1406,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_1407,plain,
( ( sum @ n15 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1408,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742_1409,plain,
( ( sum @ n25 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455_1410,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14880,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n15 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7014,zip_derived_cl469,zip_derived_cl68,zip_derived_cl494,zip_derived_cl67,zip_derived_cl742,zip_derived_cl455]) ).
thf(zip_derived_cl25_1411,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('223',plain,
( ( sk__1 != n25 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14880,zip_derived_cl25]) ).
thf(zip_derived_cl1096_1412,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1413,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7013,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n14 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n14 @ n25 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1096,zip_derived_cl6998]) ).
thf(zip_derived_cl443_1414,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1415,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_1416,plain,
( ( sum @ n14 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1417,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741_1418,plain,
( ( sum @ n25 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_1419,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14878,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n14 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7013,zip_derived_cl443,zip_derived_cl67,zip_derived_cl468,zip_derived_cl66,zip_derived_cl741,zip_derived_cl428]) ).
thf(zip_derived_cl1_1420,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('224',plain,
( ( sk__1 != n25 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14878,zip_derived_cl1]) ).
thf(zip_derived_cl1095_1421,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1422,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7012,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n13 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n13 @ n25 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1095,zip_derived_cl6998]) ).
thf(zip_derived_cl417_1423,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1424,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_1425,plain,
( ( sum @ n13 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1426,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl740_1427,plain,
( ( sum @ n25 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_1428,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14876,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n13 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7012,zip_derived_cl417,zip_derived_cl66,zip_derived_cl442,zip_derived_cl65,zip_derived_cl740,zip_derived_cl401]) ).
thf(zip_derived_cl3_1429,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('225',plain,
( ( sk__1 != n25 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14876,zip_derived_cl3]) ).
thf(zip_derived_cl1094_1430,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1431,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7011,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n12 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n12 @ n25 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1094,zip_derived_cl6998]) ).
thf(zip_derived_cl391_1432,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1433,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_1434,plain,
( ( sum @ n12 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1435,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl739_1436,plain,
( ( sum @ n25 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_1437,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14874,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n12 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7011,zip_derived_cl391,zip_derived_cl65,zip_derived_cl416,zip_derived_cl64,zip_derived_cl739,zip_derived_cl374]) ).
thf(zip_derived_cl5_1438,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('226',plain,
( ( sk__1 != n25 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14874,zip_derived_cl5]) ).
thf(zip_derived_cl1093_1439,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1440,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n11 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n11 @ n25 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1093,zip_derived_cl6998]) ).
thf(zip_derived_cl365_1441,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1442,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_1443,plain,
( ( sum @ n11 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1444,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_1445,plain,
( ( sum @ n25 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_1446,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14872,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n11 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7010,zip_derived_cl365,zip_derived_cl64,zip_derived_cl390,zip_derived_cl63,zip_derived_cl738,zip_derived_cl347]) ).
thf(zip_derived_cl7_1447,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('227',plain,
( ( sk__1 != n25 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14872,zip_derived_cl7]) ).
thf(zip_derived_cl1092_1448,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1449,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7009,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n10 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n10 @ n25 ) ) ) ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1092,zip_derived_cl6998]) ).
thf(zip_derived_cl339_1450,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1451,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_1452,plain,
( ( sum @ n10 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1453,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl737_1454,plain,
( ( sum @ n25 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_1455,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14870,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n10 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7009,zip_derived_cl339,zip_derived_cl63,zip_derived_cl364,zip_derived_cl62,zip_derived_cl737,zip_derived_cl320]) ).
thf(zip_derived_cl9_1456,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('228',plain,
( ( sk__1 != n25 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14870,zip_derived_cl9]) ).
thf(zip_derived_cl1091_1457,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1458,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7008,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n9 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n9 @ n25 ) ) ) ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1091,zip_derived_cl6998]) ).
thf(zip_derived_cl313_1459,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1460,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_1461,plain,
( ( sum @ n9 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1462,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl736_1463,plain,
( ( sum @ n25 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_1464,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14868,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n9 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7008,zip_derived_cl313,zip_derived_cl62,zip_derived_cl338,zip_derived_cl61,zip_derived_cl736,zip_derived_cl293]) ).
thf(zip_derived_cl11_1465,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('229',plain,
( ( sk__1 != n25 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14868,zip_derived_cl11]) ).
thf(zip_derived_cl1090_1466,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1467,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7007,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n8 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n8 @ n25 ) ) ) ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1090,zip_derived_cl6998]) ).
thf(zip_derived_cl287_1468,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1469,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_1470,plain,
( ( sum @ n8 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1471,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl735_1472,plain,
( ( sum @ n25 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_1473,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14866,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n8 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7007,zip_derived_cl287,zip_derived_cl61,zip_derived_cl312,zip_derived_cl60,zip_derived_cl735,zip_derived_cl266]) ).
thf(zip_derived_cl13_1474,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('230',plain,
( ( sk__1 != n25 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14866,zip_derived_cl13]) ).
thf(zip_derived_cl1089_1475,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1476,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7006,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n7 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n7 @ n25 ) ) ) ) )
<= ( ( sk_ = n7 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1089,zip_derived_cl6998]) ).
thf(zip_derived_cl261_1477,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1478,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_1479,plain,
( ( sum @ n7 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1480,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl734_1481,plain,
( ( sum @ n25 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_1482,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14862,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n7 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7006,zip_derived_cl261,zip_derived_cl60,zip_derived_cl286,zip_derived_cl59,zip_derived_cl734,zip_derived_cl239]) ).
thf(zip_derived_cl15_1483,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('231',plain,
( ( sk__1 != n25 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14862,zip_derived_cl15]) ).
thf(zip_derived_cl1088_1484,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1485,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7005,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n6 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n6 @ n25 ) ) ) ) )
<= ( ( sk_ = n6 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1088,zip_derived_cl6998]) ).
thf(zip_derived_cl235_1486,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1487,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_1488,plain,
( ( sum @ n6 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1489,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl733_1490,plain,
( ( sum @ n25 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl212_1491,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14860,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n6 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7005,zip_derived_cl235,zip_derived_cl59,zip_derived_cl260,zip_derived_cl58,zip_derived_cl733,zip_derived_cl212]) ).
thf(zip_derived_cl17_1492,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('232',plain,
( ( sk__1 != n25 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14860,zip_derived_cl17]) ).
thf(zip_derived_cl1087_1493,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1494,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7004,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n5 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n5 @ n25 ) ) ) ) )
<= ( ( sk_ = n5 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1087,zip_derived_cl6998]) ).
thf(zip_derived_cl209_1495,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1496,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_1497,plain,
( ( sum @ n5 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1498,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl732_1499,plain,
( ( sum @ n25 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_1500,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14858,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n5 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7004,zip_derived_cl209,zip_derived_cl58,zip_derived_cl234,zip_derived_cl57,zip_derived_cl732,zip_derived_cl185]) ).
thf(zip_derived_cl19_1501,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('233',plain,
( ( sk__1 != n25 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14858,zip_derived_cl19]) ).
thf(zip_derived_cl1086_1502,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1503,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7003,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n4 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n4 @ n25 ) ) ) ) )
<= ( ( sk_ = n4 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1086,zip_derived_cl6998]) ).
thf(zip_derived_cl183_1504,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_1505,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_1506,plain,
( ( sum @ n4 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1507,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl731_1508,plain,
( ( sum @ n25 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_1509,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14856,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n4 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7003,zip_derived_cl183,zip_derived_cl57,zip_derived_cl208,zip_derived_cl56,zip_derived_cl731,zip_derived_cl158]) ).
thf(zip_derived_cl21_1510,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('234',plain,
( ( sk__1 != n25 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14856,zip_derived_cl21]) ).
thf(zip_derived_cl1085_1511,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6998_1512,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ sk_ @ n25 ) ) ) ) )
<= ( sk__1 = n25 ) ),
inference(demod,[status(thm)],[zip_derived_cl1928,zip_derived_cl52]) ).
thf(zip_derived_cl7002,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n3 @ n0 ) ) @ ( sum @ n25 @ ( pred @ ( sum @ n3 @ n25 ) ) ) ) )
<= ( ( sk_ = n3 )
& ( sk__1 = n25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1085,zip_derived_cl6998]) ).
thf(zip_derived_cl157_1513,plain,
( ( sum @ n3 @ n0 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1514,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_1515,plain,
( ( sum @ n3 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1516,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl730_1517,plain,
( ( sum @ n25 @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl131_1518,plain,
( ( sum @ n2 @ n0 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14854,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n3 )
& ( sk__1 = n25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7002,zip_derived_cl157,zip_derived_cl56,zip_derived_cl182,zip_derived_cl55,zip_derived_cl730,zip_derived_cl131]) ).
thf(zip_derived_cl23_1519,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('235',plain,
( ( sk__1 != n25 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14854,zip_derived_cl23]) ).
thf(zip_derived_cl1086_1520,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_1521,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6870,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_cl1086,zip_derived_cl6865]) ).
thf(zip_derived_cl207_1522,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1523,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_1524,plain,
( ( sum @ n4 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1525,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl677_1526,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl128_1527,plain,
( ( sum @ n1 @ n23 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14628,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n4 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6870,zip_derived_cl207,zip_derived_cl55,zip_derived_cl206,zip_derived_cl54,zip_derived_cl677,zip_derived_cl128]) ).
thf(zip_derived_cl1_1528,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('236',plain,
( ( sk_ != n4 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14628,zip_derived_cl1]) ).
thf(zip_derived_cl1086_1529,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_1530,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6815,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_cl1086,zip_derived_cl6810]) ).
thf(zip_derived_cl206_1531,plain,
( ( sum @ n4 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1532,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1533,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl676_1534,plain,
( ( sum @ n22 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl100_1535,plain,
( ( sum @ n0 @ n21 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14514,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n4 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6815,zip_derived_cl206,zip_derived_cl54,zip_derived_cl205,zip_derived_cl53,zip_derived_cl676,zip_derived_cl100]) ).
thf(zip_derived_cl4_1536,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('237',plain,
( ( sk_ != n4 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14514,zip_derived_cl4]) ).
thf(zip_derived_cl1086_1537,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_1538,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6736,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_cl1086,zip_derived_cl6731]) ).
thf(zip_derived_cl205_1539,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1540,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_1541,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1542,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl649_1543,plain,
( ( sum @ n21 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl748_1544,plain,
( ( sum @ n25 @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14398,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n4 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6736,zip_derived_cl205,zip_derived_cl53,zip_derived_cl204,zip_derived_cl78,zip_derived_cl649,zip_derived_cl748]) ).
thf(zip_derived_cl7_1545,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('238',plain,
( ( sk_ != n4 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14398,zip_derived_cl7]) ).
thf(zip_derived_cl1086_1546,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_1547,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6621,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_cl1086,zip_derived_cl6616]) ).
thf(zip_derived_cl203_1548,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1549,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1550,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl595,plain,
( ( sum @ n19 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl692_1551,plain,
( ( sum @ n23 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14170,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n4 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6621,zip_derived_cl203,zip_derived_cl77,zip_derived_cl202,zip_derived_cl76,zip_derived_cl595,zip_derived_cl692]) ).
thf(zip_derived_cl13_1552,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('239',plain,
( ( sk_ != n4 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14170,zip_derived_cl13]) ).
thf(zip_derived_cl1086_1553,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_1554,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6566,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_cl1086,zip_derived_cl6561]) ).
thf(zip_derived_cl202_1555,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1556,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1557,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl568_1558,plain,
( ( sum @ n18 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664,plain,
( ( sum @ n22 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14056,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n4 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6566,zip_derived_cl202,zip_derived_cl76,zip_derived_cl201,zip_derived_cl75,zip_derived_cl568,zip_derived_cl664]) ).
thf(zip_derived_cl16_1559,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('240',plain,
( ( sk__1 != n18 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14056,zip_derived_cl16]) ).
thf(zip_derived_cl1086_1560,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_1561,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6506,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_cl1086,zip_derived_cl6501]) ).
thf(zip_derived_cl201_1562,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1563,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1564,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl541_1565,plain,
( ( sum @ n17 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636,plain,
( ( sum @ n21 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13942,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n4 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6506,zip_derived_cl201,zip_derived_cl75,zip_derived_cl200,zip_derived_cl74,zip_derived_cl541,zip_derived_cl636]) ).
thf(zip_derived_cl19_1566,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('241',plain,
( ( sk_ != n4 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13942,zip_derived_cl19]) ).
thf(zip_derived_cl1086_1567,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_1568,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6444,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_cl1086,zip_derived_cl6439]) ).
thf(zip_derived_cl200_1569,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1570,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1571,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514,plain,
( ( sum @ n16 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_1572,plain,
( ( sum @ n20 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13826,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n4 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6444,zip_derived_cl200,zip_derived_cl74,zip_derived_cl199,zip_derived_cl73,zip_derived_cl514,zip_derived_cl608]) ).
thf(zip_derived_cl22_1573,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('242',plain,
( ( sk_ != n4 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13826,zip_derived_cl22]) ).
thf(zip_derived_cl1086_1574,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_1575,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6389,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_cl1086,zip_derived_cl6384]) ).
thf(zip_derived_cl199_1576,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1577,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1578,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487,plain,
( ( sum @ n15 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580,plain,
( ( sum @ n19 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13712,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n4 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6389,zip_derived_cl199,zip_derived_cl73,zip_derived_cl198,zip_derived_cl72,zip_derived_cl487,zip_derived_cl580]) ).
thf(zip_derived_cl25_1579,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('243',plain,
( ( sk_ != n4 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13712,zip_derived_cl25]) ).
thf(zip_derived_cl1086_1580,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_1581,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6334,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_cl1086,zip_derived_cl6329]) ).
thf(zip_derived_cl198_1582,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1583,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1584,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460,plain,
( ( sum @ n14 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13598,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n4 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6334,zip_derived_cl198,zip_derived_cl72,zip_derived_cl197,zip_derived_cl71,zip_derived_cl460,zip_derived_cl552]) ).
thf(zip_derived_cl2_1585,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('244',plain,
( ( sk_ != n4 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13598,zip_derived_cl2]) ).
thf(zip_derived_cl1086_1586,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_1587,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6274,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_cl1086,zip_derived_cl6269]) ).
thf(zip_derived_cl197_1588,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1589,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1590,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433,plain,
( ( sum @ n13 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524_1591,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13484,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n4 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6274,zip_derived_cl197,zip_derived_cl71,zip_derived_cl196,zip_derived_cl70,zip_derived_cl433,zip_derived_cl524]) ).
thf(zip_derived_cl5_1592,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('245',plain,
( ( sk_ != n4 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13484,zip_derived_cl5]) ).
thf(zip_derived_cl1086_1593,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_1594,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5181,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_cl1086,zip_derived_cl5176]) ).
thf(zip_derived_cl196_1595,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1596,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1597,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406,plain,
( ( sum @ n12 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_1598,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12644,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n4 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5181,zip_derived_cl196,zip_derived_cl70,zip_derived_cl195,zip_derived_cl69,zip_derived_cl406,zip_derived_cl496]) ).
thf(zip_derived_cl8_1599,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('246',plain,
( ( sk_ != n4 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12644,zip_derived_cl8]) ).
thf(zip_derived_cl1086_1600,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_1601,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4773,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_cl1086,zip_derived_cl4768]) ).
thf(zip_derived_cl195_1602,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1603,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1604,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_1605,plain,
( ( sum @ n15 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12292,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n4 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4773,zip_derived_cl195,zip_derived_cl69,zip_derived_cl194,zip_derived_cl68,zip_derived_cl379,zip_derived_cl494]) ).
thf(zip_derived_cl11_1606,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('247',plain,
( ( sk__1 != n11 )
| ( sk_ != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12292,zip_derived_cl11]) ).
thf(zip_derived_cl1086_1607,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_1608,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4370,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_cl1086,zip_derived_cl4365]) ).
thf(zip_derived_cl194_1609,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1610,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_1611,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1612,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466,plain,
( ( sum @ n14 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11863,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n4 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4370,zip_derived_cl194,zip_derived_cl68,zip_derived_cl193,zip_derived_cl67,zip_derived_cl352,zip_derived_cl466]) ).
thf(zip_derived_cl14_1613,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('248',plain,
( ( sk_ != n4 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11863,zip_derived_cl14]) ).
thf(zip_derived_cl1086_1614,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_1615,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3993,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_cl1086,zip_derived_cl3988]) ).
thf(zip_derived_cl193_1616,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1617,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1618,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_1619,plain,
( ( sum @ n13 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11302,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n4 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3993,zip_derived_cl193,zip_derived_cl67,zip_derived_cl192,zip_derived_cl66,zip_derived_cl325,zip_derived_cl438]) ).
thf(zip_derived_cl17_1620,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('249',plain,
( ( sk_ != n4 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11302,zip_derived_cl17]) ).
thf(zip_derived_cl1086_1621,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_1622,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3625,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_cl1086,zip_derived_cl3620]) ).
thf(zip_derived_cl192_1623,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1624,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1625,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1626,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410,plain,
( ( sum @ n12 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10871,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n4 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3625,zip_derived_cl192,zip_derived_cl66,zip_derived_cl191,zip_derived_cl65,zip_derived_cl298,zip_derived_cl410]) ).
thf(zip_derived_cl20_1627,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('250',plain,
( ( sk_ != n4 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10871,zip_derived_cl20]) ).
thf(zip_derived_cl1086_1628,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_1629,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3243,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_cl1086,zip_derived_cl3238]) ).
thf(zip_derived_cl191_1630,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1631,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_1632,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1633,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382,plain,
( ( sum @ n11 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10505,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n4 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3243,zip_derived_cl191,zip_derived_cl65,zip_derived_cl190,zip_derived_cl64,zip_derived_cl271,zip_derived_cl382]) ).
thf(zip_derived_cl23_1634,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('251',plain,
( ( sk_ != n4 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10505,zip_derived_cl23]) ).
thf(zip_derived_cl1086_1635,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_1636,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2882,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_cl1086,zip_derived_cl2877]) ).
thf(zip_derived_cl190_1637,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1638,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_1639,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1640,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_1641,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10224,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n4 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2882,zip_derived_cl190,zip_derived_cl64,zip_derived_cl189,zip_derived_cl63,zip_derived_cl244,zip_derived_cl354]) ).
thf(zip_derived_cl0_1642,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('252',plain,
( ( sk_ != n4 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10224,zip_derived_cl0]) ).
thf(zip_derived_cl1086_1643,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1644,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2656,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_cl1086,zip_derived_cl2639]) ).
thf(zip_derived_cl189_1645,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1646,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl188_1647,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1648,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_1649,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10137,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n4 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2656,zip_derived_cl189,zip_derived_cl63,zip_derived_cl188,zip_derived_cl62,zip_derived_cl217,zip_derived_cl326]) ).
thf(zip_derived_cl3_1650,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('253',plain,
( ( sk_ != n4 )
| ( sk__1 != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10137,zip_derived_cl3]) ).
thf(zip_derived_cl1086_1651,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_1652,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2413,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_cl1086,zip_derived_cl2399]) ).
thf(zip_derived_cl188_1653,plain,
( ( sum @ n4 @ n5 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1654,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_1655,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1656,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl190_1657,plain,
( ( sum @ n4 @ n7 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_1658,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10054,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n4 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2413,zip_derived_cl188,zip_derived_cl62,zip_derived_cl187,zip_derived_cl61,zip_derived_cl190,zip_derived_cl298]) ).
thf(zip_derived_cl6_1659,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('254',plain,
( ( sk_ != n4 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10054,zip_derived_cl6]) ).
thf(zip_derived_cl1086_1660,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_1661,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2070,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_cl1086,zip_derived_cl2064]) ).
thf(zip_derived_cl186_1662,plain,
( ( sum @ n4 @ n3 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1663,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl185_1664,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1665,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_1666,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_1667,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9935,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n4 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2070,zip_derived_cl186,zip_derived_cl60,zip_derived_cl185,zip_derived_cl59,zip_derived_cl136,zip_derived_cl242]) ).
thf(zip_derived_cl12_1668,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('255',plain,
( ( sk_ != n4 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9935,zip_derived_cl12]) ).
thf(zip_derived_cl1086_1669,plain,
( ( sk_ = n4 )
<= ( sk_ = n4 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_1670,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2014,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_cl1086,zip_derived_cl2009]) ).
thf(zip_derived_cl185_1671,plain,
( ( sum @ n4 @ n2 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1672,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_1673,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_1674,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl109_1675,plain,
( ( sum @ n1 @ n4 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_1676,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9882,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n4 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2014,zip_derived_cl185,zip_derived_cl59,zip_derived_cl184,zip_derived_cl58,zip_derived_cl109,zip_derived_cl214]) ).
thf(zip_derived_cl15_1677,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('256',plain,
( ( sk_ != n4 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9882,zip_derived_cl15]) ).
thf(zip_derived_cl605_1678,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_1679,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1680,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2672,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_cl1102,zip_derived_cl2639]) ).
thf(zip_derived_cl11022,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n5 @ ( pred @ ( sum @ n20 @ n5 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl605,zip_derived_cl2672]) ).
thf(zip_derived_cl53_1681,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604_1682,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1683,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl233_1684,plain,
( ( sum @ n5 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11024,plain,
( ( sk__2
= ( sum @ n25 @ n3 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11022,zip_derived_cl53,zip_derived_cl604,zip_derived_cl78,zip_derived_cl233]) ).
thf(zip_derived_cl732_1685,plain,
( ( sum @ n25 @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11969,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n20 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11024,zip_derived_cl732]) ).
thf(zip_derived_cl23_1686,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('257',plain,
( ( sk__1 != n5 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11969,zip_derived_cl23]) ).
thf(zip_derived_cl709_1687,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_1688,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1689,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2676,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_cl1106,zip_derived_cl2639]) ).
thf(zip_derived_cl11800,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n5 @ ( pred @ ( sum @ n24 @ n5 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl709,zip_derived_cl2676]) ).
thf(zip_derived_cl57_1690,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl708_1691,plain,
( ( sum @ n24 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1692,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_1693,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_1694,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11805,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n24 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11800,zip_derived_cl57,zip_derived_cl708,zip_derived_cl56,zip_derived_cl211,zip_derived_cl164]) ).
thf(zip_derived_cl15_1695,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('258',plain,
( ( sk__1 != n5 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11805,zip_derived_cl15]) ).
thf(zip_derived_cl579,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_1696,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1697,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2671,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_cl1101,zip_derived_cl2639]) ).
thf(zip_derived_cl10879,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n5 @ ( pred @ ( sum @ n19 @ n5 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl579,zip_derived_cl2671]) ).
thf(zip_derived_cl78_1698,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1699,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232,plain,
( ( sum @ n5 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10881,plain,
( ( sk__2
= ( sum @ n24 @ n2 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10879,zip_derived_cl78,zip_derived_cl578,zip_derived_cl77,zip_derived_cl232]) ).
thf(zip_derived_cl705_1700,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11761,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n19 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10881,zip_derived_cl705]) ).
thf(zip_derived_cl25_1701,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('259',plain,
( ( sk__1 != n5 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11761,zip_derived_cl25]) ).
thf(zip_derived_cl553,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_1702,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1703,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2670,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_cl1100,zip_derived_cl2639]) ).
thf(zip_derived_cl10712,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n5 @ ( pred @ ( sum @ n18 @ n5 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl553,zip_derived_cl2670]) ).
thf(zip_derived_cl77_1704,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552_1705,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1706,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231,plain,
( ( sum @ n5 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10714,plain,
( ( sk__2
= ( sum @ n23 @ n1 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10712,zip_derived_cl77,zip_derived_cl552,zip_derived_cl76,zip_derived_cl231]) ).
thf(zip_derived_cl678_1707,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11548,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n18 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10714,zip_derived_cl678]) ).
thf(zip_derived_cl1_1708,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('260',plain,
( ( sk__1 != n5 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11548,zip_derived_cl1]) ).
thf(zip_derived_cl657_1709,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_1710,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1711,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2674,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_cl1104,zip_derived_cl2639]) ).
thf(zip_derived_cl11398,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n5 @ ( pred @ ( sum @ n22 @ n5 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl657,zip_derived_cl2674]) ).
thf(zip_derived_cl55_1712,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656,plain,
( ( sum @ n22 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1713,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_1714,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1715,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11400,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n22 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11398,zip_derived_cl55,zip_derived_cl656,zip_derived_cl54,zip_derived_cl209,zip_derived_cl110]) ).
thf(zip_derived_cl19_1716,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('261',plain,
( ( sk__1 != n5 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11400,zip_derived_cl19]) ).
thf(zip_derived_cl527_1717,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_1718,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1719,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2669,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_cl1099,zip_derived_cl2639]) ).
thf(zip_derived_cl10568,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n5 @ ( pred @ ( sum @ n17 @ n5 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl527,zip_derived_cl2669]) ).
thf(zip_derived_cl76_1720,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526_1721,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1722,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_1723,plain,
( ( sum @ n5 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10570,plain,
( ( sk__2
= ( sum @ n22 @ n0 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10568,zip_derived_cl76,zip_derived_cl526,zip_derived_cl75,zip_derived_cl230]) ).
thf(zip_derived_cl651_1724,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11345,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n17 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10570,zip_derived_cl651]) ).
thf(zip_derived_cl3_1725,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('262',plain,
( ( sk__1 != n5 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11345,zip_derived_cl3]) ).
thf(zip_derived_cl501_1726,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_1727,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1728,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2668,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_cl1098,zip_derived_cl2639]) ).
thf(zip_derived_cl10431,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n5 @ ( pred @ ( sum @ n16 @ n5 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl501,zip_derived_cl2668]) ).
thf(zip_derived_cl75_1729,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500_1730,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1731,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_1732,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10433,plain,
( ( sk__2
= ( sum @ n21 @ n25 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10431,zip_derived_cl75,zip_derived_cl500,zip_derived_cl74,zip_derived_cl229]) ).
thf(zip_derived_cl650_1733,plain,
( ( sum @ n21 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11342,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n16 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10433,zip_derived_cl650]) ).
thf(zip_derived_cl5_1734,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('263',plain,
( ( sk__1 != n5 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11342,zip_derived_cl5]) ).
thf(zip_derived_cl631,plain,
( ( sum @ n21 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_1735,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1736,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2673,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_cl1103,zip_derived_cl2639]) ).
thf(zip_derived_cl11206,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n5 @ ( pred @ ( sum @ n21 @ n5 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl631,zip_derived_cl2673]) ).
thf(zip_derived_cl54_1737,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630,plain,
( ( sum @ n21 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1738,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_1739,plain,
( ( sum @ n5 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl83_1740,plain,
( ( sum @ n0 @ n4 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11208,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n21 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11206,zip_derived_cl54,zip_derived_cl630,zip_derived_cl53,zip_derived_cl234,zip_derived_cl83]) ).
thf(zip_derived_cl21_1741,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('264',plain,
( ( sk__1 != n5 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11208,zip_derived_cl21]) ).
thf(zip_derived_cl475_1742,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_1743,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1744,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2667,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_cl1097,zip_derived_cl2639]) ).
thf(zip_derived_cl10293,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n5 @ ( pred @ ( sum @ n15 @ n5 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl475,zip_derived_cl2667]) ).
thf(zip_derived_cl74_1745,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1746,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10295,plain,
( ( sk__2
= ( sum @ n20 @ n24 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10293,zip_derived_cl74,zip_derived_cl474,zip_derived_cl73,zip_derived_cl228]) ).
thf(zip_derived_cl623_1747,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11138,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n15 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10295,zip_derived_cl623]) ).
thf(zip_derived_cl7_1748,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('265',plain,
( ( sk__1 != n5 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11138,zip_derived_cl7]) ).
thf(zip_derived_cl449,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_1749,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1750,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2666,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_cl1096,zip_derived_cl2639]) ).
thf(zip_derived_cl10181,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n5 @ ( pred @ ( sum @ n14 @ n5 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl449,zip_derived_cl2666]) ).
thf(zip_derived_cl73_1751,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1752,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10182,plain,
( ( sk__2
= ( sum @ n19 @ n23 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10181,zip_derived_cl73,zip_derived_cl448,zip_derived_cl72,zip_derived_cl227]) ).
thf(zip_derived_cl596,plain,
( ( sum @ n19 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10961,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n14 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10182,zip_derived_cl596]) ).
thf(zip_derived_cl9_1753,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('266',plain,
( ( sk__1 != n5 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10961,zip_derived_cl9]) ).
thf(zip_derived_cl1095_1754,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1755,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2665,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_cl1095,zip_derived_cl2639]) ).
thf(zip_derived_cl423_1756,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1757,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1758,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10151,plain,
( ( sk__2
= ( sum @ n18 @ n22 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2665,zip_derived_cl423,zip_derived_cl72,zip_derived_cl422,zip_derived_cl71,zip_derived_cl226]) ).
thf(zip_derived_cl569,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10813,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n13 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10151,zip_derived_cl569]) ).
thf(zip_derived_cl11_1759,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('267',plain,
( ( sk__1 != n5 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10813,zip_derived_cl11]) ).
thf(zip_derived_cl1094_1760,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1761,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2664,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_cl1094,zip_derived_cl2639]) ).
thf(zip_derived_cl397,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1762,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_1763,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1764,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10150,plain,
( ( sk__2
= ( sum @ n17 @ n21 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2664,zip_derived_cl397,zip_derived_cl71,zip_derived_cl396,zip_derived_cl70,zip_derived_cl225]) ).
thf(zip_derived_cl542_1765,plain,
( ( sum @ n17 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10636,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n12 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10150,zip_derived_cl542]) ).
thf(zip_derived_cl13_1766,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('268',plain,
( ( sk__1 != n5 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10636,zip_derived_cl13]) ).
thf(zip_derived_cl1093_1767,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1768,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2663,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_cl1093,zip_derived_cl2639]) ).
thf(zip_derived_cl371,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1769,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1770,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10149,plain,
( ( sk__2
= ( sum @ n16 @ n20 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2663,zip_derived_cl371,zip_derived_cl70,zip_derived_cl370,zip_derived_cl69,zip_derived_cl224]) ).
thf(zip_derived_cl515_1771,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10517,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n11 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10149,zip_derived_cl515]) ).
thf(zip_derived_cl15_1772,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('269',plain,
( ( sk__1 != n5 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10517,zip_derived_cl15]) ).
thf(zip_derived_cl1092_1773,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1774,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2662,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_cl1092,zip_derived_cl2639]) ).
thf(zip_derived_cl345_1775,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1776,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1777,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10148,plain,
( ( sk__2
= ( sum @ n15 @ n19 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl345,zip_derived_cl69,zip_derived_cl344,zip_derived_cl68,zip_derived_cl223]) ).
thf(zip_derived_cl488,plain,
( ( sum @ n15 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10349,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n10 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10148,zip_derived_cl488]) ).
thf(zip_derived_cl17_1778,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('270',plain,
( ( sk__1 != n5 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10349,zip_derived_cl17]) ).
thf(zip_derived_cl1091_1779,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1780,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2661,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_cl1091,zip_derived_cl2639]) ).
thf(zip_derived_cl319_1781,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1782,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_1783,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1784,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10147,plain,
( ( sk__2
= ( sum @ n14 @ n18 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2661,zip_derived_cl319,zip_derived_cl68,zip_derived_cl318,zip_derived_cl67,zip_derived_cl222]) ).
thf(zip_derived_cl461,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10235,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n9 )
& ( sk__1 = n5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10147,zip_derived_cl461]) ).
thf(zip_derived_cl19_1785,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('271',plain,
( ( sk__1 != n5 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10235,zip_derived_cl19]) ).
thf(zip_derived_cl1090_1786,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1787,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2660,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_cl1090,zip_derived_cl2639]) ).
thf(zip_derived_cl293_1788,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1789,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_1790,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1791,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_1792,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434,plain,
( ( sum @ n13 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10145,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n8 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2660,zip_derived_cl293,zip_derived_cl67,zip_derived_cl292,zip_derived_cl66,zip_derived_cl221,zip_derived_cl434]) ).
thf(zip_derived_cl21_1793,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('272',plain,
( ( sk__1 != n5 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10145,zip_derived_cl21]) ).
thf(zip_derived_cl1089_1794,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1795,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2659,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_cl1089,zip_derived_cl2639]) ).
thf(zip_derived_cl267_1796,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1797,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl266_1798,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1799,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10143,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n7 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2659,zip_derived_cl267,zip_derived_cl66,zip_derived_cl266,zip_derived_cl65,zip_derived_cl220,zip_derived_cl407]) ).
thf(zip_derived_cl23_1800,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('273',plain,
( ( sk__1 != n5 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10143,zip_derived_cl23]) ).
thf(zip_derived_cl1088_1801,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1802,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2658,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_cl1088,zip_derived_cl2639]) ).
thf(zip_derived_cl241_1803,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1804,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl240_1805,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1806,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_1807,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380,plain,
( ( sum @ n11 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10141,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n6 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2658,zip_derived_cl241,zip_derived_cl65,zip_derived_cl240,zip_derived_cl64,zip_derived_cl219,zip_derived_cl380]) ).
thf(zip_derived_cl25_1808,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('274',plain,
( ( sk__1 != n5 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10141,zip_derived_cl25]) ).
thf(zip_derived_cl1087_1809,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1810,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2657,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_cl1087,zip_derived_cl2639]) ).
thf(zip_derived_cl215_1811,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1812,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl214_1813,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1814,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1815,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10139,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n5 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2657,zip_derived_cl215,zip_derived_cl64,zip_derived_cl214,zip_derived_cl63,zip_derived_cl218,zip_derived_cl353]) ).
thf(zip_derived_cl1_1816,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('275',plain,
( ( sk__1 != n5 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10139,zip_derived_cl1]) ).
thf(zip_derived_cl1085_1817,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2639_1818,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n6 ) ) @ ( sum @ n5 @ ( pred @ ( sum @ sk_ @ n5 ) ) ) ) )
<= ( sk__1 = n5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl1567]) ).
thf(zip_derived_cl2655,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_cl1085,zip_derived_cl2639]) ).
thf(zip_derived_cl163_1819,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1820,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl162_1821,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1822,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1823,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10135,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n3 )
& ( sk__1 = n5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2655,zip_derived_cl163,zip_derived_cl62,zip_derived_cl162,zip_derived_cl61,zip_derived_cl216,zip_derived_cl299]) ).
thf(zip_derived_cl5_1824,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('276',plain,
( ( sk__1 != n5 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10135,zip_derived_cl5]) ).
thf(zip_derived_cl1087_1825,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_1826,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6871,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_cl1087,zip_derived_cl6865]) ).
thf(zip_derived_cl233_1827,plain,
( ( sum @ n5 @ n24 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_1828,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_1829,plain,
( ( sum @ n5 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1830,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl678_1831,plain,
( ( sum @ n23 @ n1 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl155_1832,plain,
( ( sum @ n2 @ n24 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14630,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n5 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6871,zip_derived_cl233,zip_derived_cl56,zip_derived_cl232,zip_derived_cl55,zip_derived_cl678,zip_derived_cl155]) ).
thf(zip_derived_cl25_1833,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('277',plain,
( ( sk_ != n5 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14630,zip_derived_cl25]) ).
thf(zip_derived_cl1087_1834,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_1835,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6816,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_cl1087,zip_derived_cl6810]) ).
thf(zip_derived_cl232_1836,plain,
( ( sum @ n5 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_1837,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_1838,plain,
( ( sum @ n5 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1839,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl651_1840,plain,
( ( sum @ n22 @ n0 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_1841,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14516,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n5 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6816,zip_derived_cl232,zip_derived_cl55,zip_derived_cl231,zip_derived_cl54,zip_derived_cl651,zip_derived_cl127]) ).
thf(zip_derived_cl2_1842,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('278',plain,
( ( sk_ != n5 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14516,zip_derived_cl2]) ).
thf(zip_derived_cl1087_1843,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_1844,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6737,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_cl1087,zip_derived_cl6731]) ).
thf(zip_derived_cl231_1845,plain,
( ( sum @ n5 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_1846,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_1847,plain,
( ( sum @ n5 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_1848,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl650_1849,plain,
( ( sum @ n21 @ n25 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl99_1850,plain,
( ( sum @ n0 @ n20 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14400,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n5 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6737,zip_derived_cl231,zip_derived_cl54,zip_derived_cl230,zip_derived_cl53,zip_derived_cl650,zip_derived_cl99]) ).
thf(zip_derived_cl5_1851,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('279',plain,
( ( sk_ != n5 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14400,zip_derived_cl5]) ).
thf(zip_derived_cl1087_1852,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_1853,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6622,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_cl1087,zip_derived_cl6616]) ).
thf(zip_derived_cl229_1854,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_1855,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_1856,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1857,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_1858,plain,
( ( sum @ n19 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_1859,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14172,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n5 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6622,zip_derived_cl229,zip_derived_cl78,zip_derived_cl228,zip_derived_cl77,zip_derived_cl596,zip_derived_cl719]) ).
thf(zip_derived_cl11_1860,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('280',plain,
( ( sk_ != n5 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14172,zip_derived_cl11]) ).
thf(zip_derived_cl1087_1861,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_1862,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6567,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_cl1087,zip_derived_cl6561]) ).
thf(zip_derived_cl228_1863,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_1864,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_1865,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1866,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_1867,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl691_1868,plain,
( ( sum @ n23 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14058,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n5 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6567,zip_derived_cl228,zip_derived_cl77,zip_derived_cl227,zip_derived_cl76,zip_derived_cl569,zip_derived_cl691]) ).
thf(zip_derived_cl14_1869,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('281',plain,
( ( sk__1 != n18 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14058,zip_derived_cl14]) ).
thf(zip_derived_cl1087_1870,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_1871,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6507,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_cl1087,zip_derived_cl6501]) ).
thf(zip_derived_cl227_1872,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_1873,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_1874,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1875,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_1876,plain,
( ( sum @ n17 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13944,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n5 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6507,zip_derived_cl227,zip_derived_cl76,zip_derived_cl226,zip_derived_cl75,zip_derived_cl542,zip_derived_cl663]) ).
thf(zip_derived_cl17_1877,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('282',plain,
( ( sk_ != n5 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13944,zip_derived_cl17]) ).
thf(zip_derived_cl1087_1878,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_1879,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6445,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_cl1087,zip_derived_cl6439]) ).
thf(zip_derived_cl226_1880,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_1881,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_1882,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1883,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl515_1884,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635,plain,
( ( sum @ n21 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13828,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n5 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6445,zip_derived_cl226,zip_derived_cl75,zip_derived_cl225,zip_derived_cl74,zip_derived_cl515,zip_derived_cl635]) ).
thf(zip_derived_cl20_1885,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('283',plain,
( ( sk_ != n5 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13828,zip_derived_cl20]) ).
thf(zip_derived_cl1087_1886,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_1887,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6390,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_cl1087,zip_derived_cl6384]) ).
thf(zip_derived_cl225_1888,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_1889,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_1890,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1891,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_1892,plain,
( ( sum @ n15 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl607_1893,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13714,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n5 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6390,zip_derived_cl225,zip_derived_cl74,zip_derived_cl224,zip_derived_cl73,zip_derived_cl488,zip_derived_cl607]) ).
thf(zip_derived_cl23_1894,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('284',plain,
( ( sk_ != n5 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13714,zip_derived_cl23]) ).
thf(zip_derived_cl1087_1895,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_1896,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6335,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_cl1087,zip_derived_cl6329]) ).
thf(zip_derived_cl224_1897,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_1898,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_1899,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1900,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_1901,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579_1902,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13600,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n5 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6335,zip_derived_cl224,zip_derived_cl73,zip_derived_cl223,zip_derived_cl72,zip_derived_cl461,zip_derived_cl579]) ).
thf(zip_derived_cl0_1903,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('285',plain,
( ( sk_ != n5 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13600,zip_derived_cl0]) ).
thf(zip_derived_cl1087_1904,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_1905,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6275,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_cl1087,zip_derived_cl6269]) ).
thf(zip_derived_cl223_1906,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_1907,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_1908,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1909,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_1910,plain,
( ( sum @ n13 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551_1911,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13486,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n5 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6275,zip_derived_cl223,zip_derived_cl72,zip_derived_cl222,zip_derived_cl71,zip_derived_cl434,zip_derived_cl551]) ).
thf(zip_derived_cl3_1912,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('286',plain,
( ( sk_ != n5 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13486,zip_derived_cl3]) ).
thf(zip_derived_cl1087_1913,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_1914,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5182,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_cl1087,zip_derived_cl5176]) ).
thf(zip_derived_cl222_1915,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_1916,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl221_1917,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1918,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_1919,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12646,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n5 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5182,zip_derived_cl222,zip_derived_cl71,zip_derived_cl221,zip_derived_cl70,zip_derived_cl407,zip_derived_cl523]) ).
thf(zip_derived_cl6_1920,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('287',plain,
( ( sk_ != n5 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12646,zip_derived_cl6]) ).
thf(zip_derived_cl1087_1921,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_1922,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4774,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_cl1087,zip_derived_cl4768]) ).
thf(zip_derived_cl221_1923,plain,
( ( sum @ n5 @ n12 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_1924,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_1925,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1926,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_1927,plain,
( ( sum @ n11 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_1928,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12294,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n5 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4774,zip_derived_cl221,zip_derived_cl70,zip_derived_cl220,zip_derived_cl69,zip_derived_cl380,zip_derived_cl495]) ).
thf(zip_derived_cl9_1929,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('288',plain,
( ( sk__1 != n11 )
| ( sk_ != n5 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12294,zip_derived_cl9]) ).
thf(zip_derived_cl1087_1930,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_1931,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4371,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_cl1087,zip_derived_cl4365]) ).
thf(zip_derived_cl220_1932,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_1933,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl219_1934,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1935,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_1936,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493_1937,plain,
( ( sum @ n15 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11865,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n5 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4371,zip_derived_cl220,zip_derived_cl69,zip_derived_cl219,zip_derived_cl68,zip_derived_cl353,zip_derived_cl493]) ).
thf(zip_derived_cl12_1938,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('289',plain,
( ( sk_ != n5 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11865,zip_derived_cl12]) ).
thf(zip_derived_cl1087_1939,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_1940,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3994,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_cl1087,zip_derived_cl3988]) ).
thf(zip_derived_cl219_1941,plain,
( ( sum @ n5 @ n10 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_1942,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl218_1943,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1944,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_1945,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11304,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n5 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3994,zip_derived_cl219,zip_derived_cl68,zip_derived_cl218,zip_derived_cl67,zip_derived_cl326,zip_derived_cl465]) ).
thf(zip_derived_cl15_1946,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('290',plain,
( ( sk_ != n5 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11304,zip_derived_cl15]) ).
thf(zip_derived_cl1087_1947,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_1948,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3626,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_cl1087,zip_derived_cl3620]) ).
thf(zip_derived_cl218_1949,plain,
( ( sum @ n5 @ n9 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_1950,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl217_1951,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1952,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_1953,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_1954,plain,
( ( sum @ n13 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10899,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n5 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3626,zip_derived_cl218,zip_derived_cl67,zip_derived_cl217,zip_derived_cl66,zip_derived_cl299,zip_derived_cl437]) ).
thf(zip_derived_cl18_1955,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('291',plain,
( ( sk_ != n5 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10899,zip_derived_cl18]) ).
thf(zip_derived_cl1087_1956,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_1957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3244,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_cl1087,zip_derived_cl3238]) ).
thf(zip_derived_cl217_1958,plain,
( ( sum @ n5 @ n8 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_1959,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl216_1960,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1961,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_1962,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10509,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n5 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3244,zip_derived_cl217,zip_derived_cl66,zip_derived_cl216,zip_derived_cl65,zip_derived_cl272,zip_derived_cl409]) ).
thf(zip_derived_cl21_1963,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('292',plain,
( ( sk_ != n5 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10509,zip_derived_cl21]) ).
thf(zip_derived_cl1087_1964,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_1965,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2883,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_cl1087,zip_derived_cl2877]) ).
thf(zip_derived_cl216_1966,plain,
( ( sum @ n5 @ n7 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_1967,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_1968,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_1969,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_1970,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381,plain,
( ( sum @ n11 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10228,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n5 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2883,zip_derived_cl216,zip_derived_cl65,zip_derived_cl215,zip_derived_cl64,zip_derived_cl245,zip_derived_cl381]) ).
thf(zip_derived_cl24_1971,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('293',plain,
( ( sk_ != n5 )
| ( sk__1 != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10228,zip_derived_cl24]) ).
thf(zip_derived_cl1087_1972,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_1973,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2414,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_cl1087,zip_derived_cl2399]) ).
thf(zip_derived_cl214_1974,plain,
( ( sum @ n5 @ n5 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_1975,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl213_1976,plain,
( ( sum @ n5 @ n4 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_1977,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl191_1978,plain,
( ( sum @ n4 @ n8 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_1979,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10056,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n5 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2414,zip_derived_cl214,zip_derived_cl63,zip_derived_cl213,zip_derived_cl62,zip_derived_cl191,zip_derived_cl325]) ).
thf(zip_derived_cl4_1980,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('294',plain,
( ( sk_ != n5 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10056,zip_derived_cl4]) ).
thf(zip_derived_cl1087_1981,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_1982,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2071,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_cl1087,zip_derived_cl2064]) ).
thf(zip_derived_cl212_1983,plain,
( ( sum @ n5 @ n3 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_1984,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl211_1985,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1986,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl137_1987,plain,
( ( sum @ n2 @ n6 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_1988,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9937,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n5 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2071,zip_derived_cl212,zip_derived_cl61,zip_derived_cl211,zip_derived_cl60,zip_derived_cl137,zip_derived_cl269]) ).
thf(zip_derived_cl10_1989,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('295',plain,
( ( sk_ != n5 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9937,zip_derived_cl10]) ).
thf(zip_derived_cl1087_1990,plain,
( ( sk_ = n5 )
<= ( sk_ = n5 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_1991,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2015,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_cl1087,zip_derived_cl2009]) ).
thf(zip_derived_cl211_1992,plain,
( ( sum @ n5 @ n2 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_1993,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_1994,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_1995,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl110_1996,plain,
( ( sum @ n1 @ n5 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_1997,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9884,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n5 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2015,zip_derived_cl211,zip_derived_cl60,zip_derived_cl210,zip_derived_cl59,zip_derived_cl110,zip_derived_cl241]) ).
thf(zip_derived_cl13_1998,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('296',plain,
( ( sk_ != n5 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9884,zip_derived_cl13]) ).
thf(zip_derived_cl580_1999,plain,
( ( sum @ n19 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_2000,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2001,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2897,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_cl1101,zip_derived_cl2877]) ).
thf(zip_derived_cl10887,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n6 @ ( pred @ ( sum @ n19 @ n6 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl580,zip_derived_cl2897]) ).
thf(zip_derived_cl53_2002,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579_2003,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2004,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_2005,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10889,plain,
( ( sk__2
= ( sum @ n25 @ n4 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10887,zip_derived_cl53,zip_derived_cl579,zip_derived_cl78,zip_derived_cl259]) ).
thf(zip_derived_cl733_2006,plain,
( ( sum @ n25 @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11982,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n19 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10889,zip_derived_cl733]) ).
thf(zip_derived_cl22_2007,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('297',plain,
( ( sk__1 != n6 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11982,zip_derived_cl22]) ).
thf(zip_derived_cl710_2008,plain,
( ( sum @ n24 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_2009,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2010,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2902,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_cl1106,zip_derived_cl2877]) ).
thf(zip_derived_cl11810,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n6 @ ( pred @ ( sum @ n24 @ n6 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl710,zip_derived_cl2902]) ).
thf(zip_derived_cl58_2011,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl709_2012,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2013,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl238_2014,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_2015,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11812,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n24 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11810,zip_derived_cl58,zip_derived_cl709,zip_derived_cl57,zip_derived_cl238,zip_derived_cl192]) ).
thf(zip_derived_cl12_2016,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('298',plain,
( ( sk__1 != n6 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11812,zip_derived_cl12]) ).
thf(zip_derived_cl554_2017,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_2018,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2019,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2896,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_cl1100,zip_derived_cl2877]) ).
thf(zip_derived_cl10719,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n6 @ ( pred @ ( sum @ n18 @ n6 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl554,zip_derived_cl2896]) ).
thf(zip_derived_cl78_2020,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553_2021,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2022,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258,plain,
( ( sum @ n6 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10721,plain,
( ( sk__2
= ( sum @ n24 @ n3 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10719,zip_derived_cl78,zip_derived_cl553,zip_derived_cl77,zip_derived_cl258]) ).
thf(zip_derived_cl706_2023,plain,
( ( sum @ n24 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11768,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n18 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10721,zip_derived_cl706]) ).
thf(zip_derived_cl24_2024,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('299',plain,
( ( sk__1 != n6 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11768,zip_derived_cl24]) ).
thf(zip_derived_cl528_2025,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_2026,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2027,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2895,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_cl1099,zip_derived_cl2877]) ).
thf(zip_derived_cl10574,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n6 @ ( pred @ ( sum @ n17 @ n6 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl528,zip_derived_cl2895]) ).
thf(zip_derived_cl77_2028,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527_2029,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2030,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10576,plain,
( ( sk__2
= ( sum @ n23 @ n2 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10574,zip_derived_cl77,zip_derived_cl527,zip_derived_cl76,zip_derived_cl257]) ).
thf(zip_derived_cl679_2031,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11559,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n17 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10576,zip_derived_cl679]) ).
thf(zip_derived_cl0_2032,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('300',plain,
( ( sk__1 != n6 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11559,zip_derived_cl0]) ).
thf(zip_derived_cl658,plain,
( ( sum @ n22 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2033,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2034,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2900,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_cl1104,zip_derived_cl2877]) ).
thf(zip_derived_cl11405,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n6 @ ( pred @ ( sum @ n22 @ n6 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl658,zip_derived_cl2900]) ).
thf(zip_derived_cl56_2035,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657_2036,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2037,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_2038,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_2039,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11408,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n22 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11405,zip_derived_cl56,zip_derived_cl657,zip_derived_cl55,zip_derived_cl236,zip_derived_cl138]) ).
thf(zip_derived_cl16_2040,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('301',plain,
( ( sk__1 != n6 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11408,zip_derived_cl16]) ).
thf(zip_derived_cl502,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_2041,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2042,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2894,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_cl1098,zip_derived_cl2877]) ).
thf(zip_derived_cl10436,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n6 @ ( pred @ ( sum @ n16 @ n6 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl502,zip_derived_cl2894]) ).
thf(zip_derived_cl76_2043,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501_2044,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2045,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_2046,plain,
( ( sum @ n6 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10437,plain,
( ( sk__2
= ( sum @ n22 @ n1 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10436,zip_derived_cl76,zip_derived_cl501,zip_derived_cl75,zip_derived_cl256]) ).
thf(zip_derived_cl652_2047,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11356,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n16 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10437,zip_derived_cl652]) ).
thf(zip_derived_cl2_2048,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('302',plain,
( ( sk__1 != n6 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11356,zip_derived_cl2]) ).
thf(zip_derived_cl632,plain,
( ( sum @ n21 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_2049,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2050,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2899,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_cl1103,zip_derived_cl2877]) ).
thf(zip_derived_cl11211,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n6 @ ( pred @ ( sum @ n21 @ n6 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl632,zip_derived_cl2899]) ).
thf(zip_derived_cl55_2051,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631_2052,plain,
( ( sum @ n21 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2053,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_2054,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_2055,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11213,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n21 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11211,zip_derived_cl55,zip_derived_cl631,zip_derived_cl54,zip_derived_cl235,zip_derived_cl111]) ).
thf(zip_derived_cl18_2056,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('303',plain,
( ( sk__1 != n6 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11213,zip_derived_cl18]) ).
thf(zip_derived_cl476,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_2057,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2058,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2893,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_cl1097,zip_derived_cl2877]) ).
thf(zip_derived_cl10299,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n6 @ ( pred @ ( sum @ n15 @ n6 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl476,zip_derived_cl2893]) ).
thf(zip_derived_cl75_2059,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475_2060,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2061,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_2062,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10301,plain,
( ( sk__2
= ( sum @ n21 @ n0 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10299,zip_derived_cl75,zip_derived_cl475,zip_derived_cl74,zip_derived_cl255]) ).
thf(zip_derived_cl625_2063,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11157,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n15 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10301,zip_derived_cl625]) ).
thf(zip_derived_cl4_2064,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('304',plain,
( ( sk__1 != n6 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11157,zip_derived_cl4]) ).
thf(zip_derived_cl1096_2065,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2066,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2892,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_cl1096,zip_derived_cl2877]) ).
thf(zip_derived_cl450_2067,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2068,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_2069,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2070,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10244,plain,
( ( sk__2
= ( sum @ n20 @ n25 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2892,zip_derived_cl450,zip_derived_cl74,zip_derived_cl449,zip_derived_cl73,zip_derived_cl254]) ).
thf(zip_derived_cl624_2071,plain,
( ( sum @ n20 @ n25 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11148,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n14 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10244,zip_derived_cl624]) ).
thf(zip_derived_cl6_2072,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('305',plain,
( ( sk__1 != n6 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11148,zip_derived_cl6]) ).
thf(zip_derived_cl606_2073,plain,
( ( sum @ n20 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_2074,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2075,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2898,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_cl1102,zip_derived_cl2877]) ).
thf(zip_derived_cl11026,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n6 @ ( pred @ ( sum @ n20 @ n6 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl606,zip_derived_cl2898]) ).
thf(zip_derived_cl54_2076,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl605_2077,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2078,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl260_2079,plain,
( ( sum @ n6 @ n25 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl84_2080,plain,
( ( sum @ n0 @ n5 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11028,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n20 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11026,zip_derived_cl54,zip_derived_cl605,zip_derived_cl53,zip_derived_cl260,zip_derived_cl84]) ).
thf(zip_derived_cl20_2081,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('306',plain,
( ( sk__1 != n6 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11028,zip_derived_cl20]) ).
thf(zip_derived_cl1095_2082,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2083,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2891,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_cl1095,zip_derived_cl2877]) ).
thf(zip_derived_cl424,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2084,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423_2085,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2086,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10243,plain,
( ( sk__2
= ( sum @ n19 @ n24 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2891,zip_derived_cl424,zip_derived_cl73,zip_derived_cl423,zip_derived_cl72,zip_derived_cl253]) ).
thf(zip_derived_cl597_2087,plain,
( ( sum @ n19 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10971,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n13 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10243,zip_derived_cl597]) ).
thf(zip_derived_cl8_2088,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('307',plain,
( ( sk__1 != n6 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10971,zip_derived_cl8]) ).
thf(zip_derived_cl1094_2089,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2090,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2890,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_cl1094,zip_derived_cl2877]) ).
thf(zip_derived_cl398,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2091,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_2092,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2093,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10242,plain,
( ( sk__2
= ( sum @ n18 @ n23 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2890,zip_derived_cl398,zip_derived_cl72,zip_derived_cl397,zip_derived_cl71,zip_derived_cl252]) ).
thf(zip_derived_cl570,plain,
( ( sum @ n18 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10821,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n12 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10242,zip_derived_cl570]) ).
thf(zip_derived_cl10_2094,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('308',plain,
( ( sk__1 != n6 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10821,zip_derived_cl10]) ).
thf(zip_derived_cl1093_2095,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2096,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2889,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_cl1093,zip_derived_cl2877]) ).
thf(zip_derived_cl372_2097,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2098,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_2099,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2100,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10239,plain,
( ( sk__2
= ( sum @ n17 @ n22 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2889,zip_derived_cl372,zip_derived_cl71,zip_derived_cl371,zip_derived_cl70,zip_derived_cl251]) ).
thf(zip_derived_cl543,plain,
( ( sum @ n17 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10646,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n11 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10239,zip_derived_cl543]) ).
thf(zip_derived_cl12_2101,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('309',plain,
( ( sk__1 != n6 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10646,zip_derived_cl12]) ).
thf(zip_derived_cl1092_2102,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2888,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_cl1092,zip_derived_cl2877]) ).
thf(zip_derived_cl346_2104,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2105,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_2106,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2107,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10238,plain,
( ( sk__2
= ( sum @ n16 @ n21 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2888,zip_derived_cl346,zip_derived_cl70,zip_derived_cl345,zip_derived_cl69,zip_derived_cl250]) ).
thf(zip_derived_cl516_2108,plain,
( ( sum @ n16 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10522,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n10 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10238,zip_derived_cl516]) ).
thf(zip_derived_cl14_2109,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('310',plain,
( ( sk__1 != n6 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10522,zip_derived_cl14]) ).
thf(zip_derived_cl1091_2110,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2111,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2887,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_cl1091,zip_derived_cl2877]) ).
thf(zip_derived_cl320_2112,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2113,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_2114,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2115,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_2116,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10237,plain,
( ( sk__2
= ( sum @ n15 @ n20 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2887,zip_derived_cl320,zip_derived_cl69,zip_derived_cl319,zip_derived_cl68,zip_derived_cl249]) ).
thf(zip_derived_cl489_2117,plain,
( ( sum @ n15 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10357,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n9 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10237,zip_derived_cl489]) ).
thf(zip_derived_cl16_2118,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('311',plain,
( ( sk__1 != n6 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10357,zip_derived_cl16]) ).
thf(zip_derived_cl1090_2119,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2120,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2886,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_cl1090,zip_derived_cl2877]) ).
thf(zip_derived_cl294_2121,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2122,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl293_2123,plain,
( ( sum @ n8 @ n6 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2124,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10234,plain,
( ( sk__2
= ( sum @ n14 @ n19 ) )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2886,zip_derived_cl294,zip_derived_cl68,zip_derived_cl293,zip_derived_cl67,zip_derived_cl248]) ).
thf(zip_derived_cl462,plain,
( ( sum @ n14 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10240,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n8 )
& ( sk__1 = n6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10234,zip_derived_cl462]) ).
thf(zip_derived_cl18_2125,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('312',plain,
( ( sk__1 != n6 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10240,zip_derived_cl18]) ).
thf(zip_derived_cl1089_2126,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2127,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2885,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_cl1089,zip_derived_cl2877]) ).
thf(zip_derived_cl268_2128,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2129,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl267_2130,plain,
( ( sum @ n7 @ n6 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2131,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_2132,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435,plain,
( ( sum @ n13 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10232,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n7 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2885,zip_derived_cl268,zip_derived_cl67,zip_derived_cl267,zip_derived_cl66,zip_derived_cl247,zip_derived_cl435]) ).
thf(zip_derived_cl20_2133,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('313',plain,
( ( sk__1 != n6 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10232,zip_derived_cl20]) ).
thf(zip_derived_cl1088_2134,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2135,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2884,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_cl1088,zip_derived_cl2877]) ).
thf(zip_derived_cl242_2136,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2137,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl241_2138,plain,
( ( sum @ n6 @ n6 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2139,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_2140,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408,plain,
( ( sum @ n12 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10230,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n6 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2884,zip_derived_cl242,zip_derived_cl66,zip_derived_cl241,zip_derived_cl65,zip_derived_cl246,zip_derived_cl408]) ).
thf(zip_derived_cl22_2141,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('314',plain,
( ( sk__1 != n6 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10230,zip_derived_cl22]) ).
thf(zip_derived_cl1085_2142,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2877_2143,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n7 ) ) @ ( sum @ n6 @ ( pred @ ( sum @ sk_ @ n6 ) ) ) ) )
<= ( sk__1 = n6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl1568]) ).
thf(zip_derived_cl2881,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_cl1085,zip_derived_cl2877]) ).
thf(zip_derived_cl164_2144,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2145,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl163_2146,plain,
( ( sum @ n3 @ n6 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2147,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2148,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10222,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n3 )
& ( sk__1 = n6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2881,zip_derived_cl164,zip_derived_cl63,zip_derived_cl163,zip_derived_cl62,zip_derived_cl243,zip_derived_cl327]) ).
thf(zip_derived_cl2_2149,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('315',plain,
( ( sk__1 != n6 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10222,zip_derived_cl2]) ).
thf(zip_derived_cl1088_2150,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_2151,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6872,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_cl1088,zip_derived_cl6865]) ).
thf(zip_derived_cl259_2152,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2153,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_2154,plain,
( ( sum @ n6 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2155,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl679_2156,plain,
( ( sum @ n23 @ n2 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl182_2157,plain,
( ( sum @ n3 @ n25 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14632,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n6 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6872,zip_derived_cl259,zip_derived_cl57,zip_derived_cl258,zip_derived_cl56,zip_derived_cl679,zip_derived_cl182]) ).
thf(zip_derived_cl23_2158,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('316',plain,
( ( sk_ != n6 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14632,zip_derived_cl23]) ).
thf(zip_derived_cl1088_2159,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_2160,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6817,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_cl1088,zip_derived_cl6810]) ).
thf(zip_derived_cl258_2161,plain,
( ( sum @ n6 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2162,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_2163,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2164,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl652_2165,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_2166,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14518,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n6 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6817,zip_derived_cl258,zip_derived_cl56,zip_derived_cl257,zip_derived_cl55,zip_derived_cl652,zip_derived_cl154]) ).
thf(zip_derived_cl0_2167,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('317',plain,
( ( sk_ != n6 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14518,zip_derived_cl0]) ).
thf(zip_derived_cl1088_2168,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_2169,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6738,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_cl1088,zip_derived_cl6731]) ).
thf(zip_derived_cl257_2170,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2171,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_2172,plain,
( ( sum @ n6 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2173,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl625_2174,plain,
( ( sum @ n21 @ n0 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_2175,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14404,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n6 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6738,zip_derived_cl257,zip_derived_cl55,zip_derived_cl256,zip_derived_cl54,zip_derived_cl625,zip_derived_cl126]) ).
thf(zip_derived_cl3_2176,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('318',plain,
( ( sk_ != n6 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14404,zip_derived_cl3]) ).
thf(zip_derived_cl1088_2177,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_2178,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6623,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_cl1088,zip_derived_cl6616]) ).
thf(zip_derived_cl255_2179,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2180,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_2181,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2182,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl597_2183,plain,
( ( sum @ n19 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl746_2184,plain,
( ( sum @ n25 @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14174,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n6 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6623,zip_derived_cl255,zip_derived_cl53,zip_derived_cl254,zip_derived_cl78,zip_derived_cl597,zip_derived_cl746]) ).
thf(zip_derived_cl9_2185,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('319',plain,
( ( sk_ != n6 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14174,zip_derived_cl9]) ).
thf(zip_derived_cl1088_2186,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_2187,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6568,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_cl1088,zip_derived_cl6561]) ).
thf(zip_derived_cl254_2188,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2189,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_2190,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2191,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570_2192,plain,
( ( sum @ n18 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_2193,plain,
( ( sum @ n24 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14060,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n6 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6568,zip_derived_cl254,zip_derived_cl78,zip_derived_cl253,zip_derived_cl77,zip_derived_cl570,zip_derived_cl718]) ).
thf(zip_derived_cl12_2194,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('320',plain,
( ( sk__1 != n18 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14060,zip_derived_cl12]) ).
thf(zip_derived_cl1088_2195,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_2196,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6508,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_cl1088,zip_derived_cl6501]) ).
thf(zip_derived_cl253_2197,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2198,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_2199,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2200,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl543_2201,plain,
( ( sum @ n17 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl690_2202,plain,
( ( sum @ n23 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13946,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n6 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6508,zip_derived_cl253,zip_derived_cl77,zip_derived_cl252,zip_derived_cl76,zip_derived_cl543,zip_derived_cl690]) ).
thf(zip_derived_cl15_2203,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('321',plain,
( ( sk_ != n6 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13946,zip_derived_cl15]) ).
thf(zip_derived_cl1088_2204,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_2205,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6446,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_cl1088,zip_derived_cl6439]) ).
thf(zip_derived_cl252_2206,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2207,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_2208,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2209,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516_2210,plain,
( ( sum @ n16 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662,plain,
( ( sum @ n22 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13832,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n6 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6446,zip_derived_cl252,zip_derived_cl76,zip_derived_cl251,zip_derived_cl75,zip_derived_cl516,zip_derived_cl662]) ).
thf(zip_derived_cl18_2211,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('322',plain,
( ( sk_ != n6 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13832,zip_derived_cl18]) ).
thf(zip_derived_cl1088_2212,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_2213,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6391,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_cl1088,zip_derived_cl6384]) ).
thf(zip_derived_cl251_2214,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2215,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_2216,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2217,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl489_2218,plain,
( ( sum @ n15 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634,plain,
( ( sum @ n21 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13716,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n6 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6391,zip_derived_cl251,zip_derived_cl75,zip_derived_cl250,zip_derived_cl74,zip_derived_cl489,zip_derived_cl634]) ).
thf(zip_derived_cl21_2219,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('323',plain,
( ( sk_ != n6 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13716,zip_derived_cl21]) ).
thf(zip_derived_cl1088_2220,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_2221,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6336,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_cl1088,zip_derived_cl6329]) ).
thf(zip_derived_cl250_2222,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2223,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl249_2224,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2225,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_2226,plain,
( ( sum @ n14 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl606_2227,plain,
( ( sum @ n20 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13602,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n6 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6336,zip_derived_cl250,zip_derived_cl74,zip_derived_cl249,zip_derived_cl73,zip_derived_cl462,zip_derived_cl606]) ).
thf(zip_derived_cl24_2228,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('324',plain,
( ( sk_ != n6 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13602,zip_derived_cl24]) ).
thf(zip_derived_cl1088_2229,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_2230,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6276,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_cl1088,zip_derived_cl6269]) ).
thf(zip_derived_cl249_2231,plain,
( ( sum @ n6 @ n14 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2232,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_2233,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2234,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_2235,plain,
( ( sum @ n13 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_2236,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13488,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n6 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6276,zip_derived_cl249,zip_derived_cl73,zip_derived_cl248,zip_derived_cl72,zip_derived_cl435,zip_derived_cl578]) ).
thf(zip_derived_cl1_2237,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('325',plain,
( ( sk_ != n6 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13488,zip_derived_cl1]) ).
thf(zip_derived_cl1088_2238,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_2239,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5183,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_cl1088,zip_derived_cl5176]) ).
thf(zip_derived_cl248_2240,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2241,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl247_2242,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2243,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_2244,plain,
( ( sum @ n12 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550_2245,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12648,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n6 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5183,zip_derived_cl248,zip_derived_cl72,zip_derived_cl247,zip_derived_cl71,zip_derived_cl408,zip_derived_cl550]) ).
thf(zip_derived_cl4_2246,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('326',plain,
( ( sk_ != n6 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12648,zip_derived_cl4]) ).
thf(zip_derived_cl1088_2247,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_2248,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4775,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_cl1088,zip_derived_cl4768]) ).
thf(zip_derived_cl247_2249,plain,
( ( sum @ n6 @ n12 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2250,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl246_2251,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2252,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_2253,plain,
( ( sum @ n11 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_2254,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12296,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n6 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4775,zip_derived_cl247,zip_derived_cl71,zip_derived_cl246,zip_derived_cl70,zip_derived_cl381,zip_derived_cl522]) ).
thf(zip_derived_cl7_2255,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('327',plain,
( ( sk__1 != n11 )
| ( sk_ != n6 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12296,zip_derived_cl7]) ).
thf(zip_derived_cl1088_2256,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_2257,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4372,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_cl1088,zip_derived_cl4365]) ).
thf(zip_derived_cl246_2258,plain,
( ( sum @ n6 @ n11 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2259,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl245_2260,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2261,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_2262,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520_2263,plain,
( ( sum @ n16 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11867,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n6 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4372,zip_derived_cl246,zip_derived_cl70,zip_derived_cl245,zip_derived_cl69,zip_derived_cl354,zip_derived_cl520]) ).
thf(zip_derived_cl10_2264,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('328',plain,
( ( sk_ != n6 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11867,zip_derived_cl10]) ).
thf(zip_derived_cl1088_2265,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_2266,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3995,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_cl1088,zip_derived_cl3988]) ).
thf(zip_derived_cl245_2267,plain,
( ( sum @ n6 @ n10 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2268,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl244_2269,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2270,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_2271,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492,plain,
( ( sum @ n15 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11306,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n6 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3995,zip_derived_cl245,zip_derived_cl69,zip_derived_cl244,zip_derived_cl68,zip_derived_cl327,zip_derived_cl492]) ).
thf(zip_derived_cl13_2272,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('329',plain,
( ( sk_ != n6 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11306,zip_derived_cl13]) ).
thf(zip_derived_cl1088_2273,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2274,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3627,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_cl1088,zip_derived_cl3620]) ).
thf(zip_derived_cl244_2275,plain,
( ( sum @ n6 @ n9 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2276,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl243_2277,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2278,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_2279,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_2280,plain,
( ( sum @ n14 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10901,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n6 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3627,zip_derived_cl244,zip_derived_cl68,zip_derived_cl243,zip_derived_cl67,zip_derived_cl300,zip_derived_cl464]) ).
thf(zip_derived_cl16_2281,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('330',plain,
( ( sk_ != n6 )
| ( sk__1 != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10901,zip_derived_cl16]) ).
thf(zip_derived_cl1088_2282,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2283,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3245,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_cl1088,zip_derived_cl3238]) ).
thf(zip_derived_cl243_2284,plain,
( ( sum @ n6 @ n8 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2285,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl242_2286,plain,
( ( sum @ n6 @ n7 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2287,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_2288,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436,plain,
( ( sum @ n13 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10511,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n6 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3245,zip_derived_cl243,zip_derived_cl67,zip_derived_cl242,zip_derived_cl66,zip_derived_cl273,zip_derived_cl436]) ).
thf(zip_derived_cl19_2289,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('331',plain,
( ( sk_ != n6 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10511,zip_derived_cl19]) ).
thf(zip_derived_cl1088_2290,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2291,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2415,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_cl1088,zip_derived_cl2399]) ).
thf(zip_derived_cl240_2292,plain,
( ( sum @ n6 @ n5 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2293,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl239_2294,plain,
( ( sum @ n6 @ n4 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2295,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl192_2296,plain,
( ( sum @ n4 @ n9 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_2297,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10058,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n6 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2415,zip_derived_cl240,zip_derived_cl64,zip_derived_cl239,zip_derived_cl63,zip_derived_cl192,zip_derived_cl352]) ).
thf(zip_derived_cl2_2298,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('332',plain,
( ( sk_ != n6 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10058,zip_derived_cl2]) ).
thf(zip_derived_cl1088_2299,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_2300,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2072,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_cl1088,zip_derived_cl2064]) ).
thf(zip_derived_cl238_2301,plain,
( ( sum @ n6 @ n3 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2302,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_2303,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2304,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl138_2305,plain,
( ( sum @ n2 @ n7 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_2306,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9939,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n6 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2072,zip_derived_cl238,zip_derived_cl62,zip_derived_cl237,zip_derived_cl61,zip_derived_cl138,zip_derived_cl296]) ).
thf(zip_derived_cl8_2307,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('333',plain,
( ( sk_ != n6 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9939,zip_derived_cl8]) ).
thf(zip_derived_cl1088_2308,plain,
( ( sk_ = n6 )
<= ( sk_ = n6 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_2309,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2016,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_cl1088,zip_derived_cl2009]) ).
thf(zip_derived_cl237_2310,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2311,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_2312,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_2313,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl111_2314,plain,
( ( sum @ n1 @ n6 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_2315,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9886,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n6 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2016,zip_derived_cl237,zip_derived_cl61,zip_derived_cl236,zip_derived_cl60,zip_derived_cl111,zip_derived_cl268]) ).
thf(zip_derived_cl11_2316,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('334',plain,
( ( sk_ != n6 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9886,zip_derived_cl11]) ).
thf(zip_derived_cl1099_2317,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2318,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3638,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_cl1099,zip_derived_cl3620]) ).
thf(zip_derived_cl530,plain,
( ( sum @ n17 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2319,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529_2320,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2321,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_2322,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10928,plain,
( ( sk__2
= ( sum @ n25 @ n6 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3638,zip_derived_cl530,zip_derived_cl53,zip_derived_cl529,zip_derived_cl78,zip_derived_cl311]) ).
thf(zip_derived_cl735_2323,plain,
( ( sum @ n25 @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12004,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n17 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10928,zip_derived_cl735]) ).
thf(zip_derived_cl20_2324,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('335',plain,
( ( sk__1 != n8 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12004,zip_derived_cl20]) ).
thf(zip_derived_cl712_2325,plain,
( ( sum @ n24 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_2326,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2327,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3645,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_cl1106,zip_derived_cl3620]) ).
thf(zip_derived_cl11831,plain,
( ( sk__2
= ( sum @ ( pred @ n7 ) @ ( sum @ n8 @ ( pred @ ( sum @ n24 @ n8 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl712,zip_derived_cl3645]) ).
thf(zip_derived_cl60_2328,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711_2329,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2330,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl292_2331,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl248_2332,plain,
( ( sum @ n6 @ n13 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11834,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n24 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11831,zip_derived_cl60,zip_derived_cl711,zip_derived_cl59,zip_derived_cl292,zip_derived_cl248]) ).
thf(zip_derived_cl6_2333,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('336',plain,
( ( sk__1 != n8 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11834,zip_derived_cl6]) ).
thf(zip_derived_cl1098_2334,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2335,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3637,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_cl1098,zip_derived_cl3620]) ).
thf(zip_derived_cl504_2336,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2337,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503_2338,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2339,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310,plain,
( ( sum @ n8 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10925,plain,
( ( sk__2
= ( sum @ n24 @ n5 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3637,zip_derived_cl504,zip_derived_cl78,zip_derived_cl503,zip_derived_cl77,zip_derived_cl310]) ).
thf(zip_derived_cl708_2340,plain,
( ( sum @ n24 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11790,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n16 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10925,zip_derived_cl708]) ).
thf(zip_derived_cl22_2341,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('337',plain,
( ( sk__1 != n8 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11790,zip_derived_cl22]) ).
thf(zip_derived_cl1097_2342,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2343,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3636,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_cl1097,zip_derived_cl3620]) ).
thf(zip_derived_cl478,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2344,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477_2345,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2346,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10922,plain,
( ( sk__2
= ( sum @ n23 @ n4 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3636,zip_derived_cl478,zip_derived_cl77,zip_derived_cl477,zip_derived_cl76,zip_derived_cl309]) ).
thf(zip_derived_cl681_2347,plain,
( ( sum @ n23 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11578,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n15 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10922,zip_derived_cl681]) ).
thf(zip_derived_cl24_2348,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('338',plain,
( ( sk__1 != n8 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11578,zip_derived_cl24]) ).
thf(zip_derived_cl660,plain,
( ( sum @ n22 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2349,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2350,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3643,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_cl1104,zip_derived_cl3620]) ).
thf(zip_derived_cl11423,plain,
( ( sk__2
= ( sum @ ( pred @ n5 ) @ ( sum @ n8 @ ( pred @ ( sum @ n22 @ n8 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl660,zip_derived_cl3643]) ).
thf(zip_derived_cl58_2351,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2352,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_2353,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_2354,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11426,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n22 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11423,zip_derived_cl58,zip_derived_cl659,zip_derived_cl57,zip_derived_cl290,zip_derived_cl194]) ).
thf(zip_derived_cl10_2355,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('339',plain,
( ( sk__1 != n8 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11426,zip_derived_cl10]) ).
thf(zip_derived_cl1096_2356,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2357,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3635,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_cl1096,zip_derived_cl3620]) ).
thf(zip_derived_cl452,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2358,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2359,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_2360,plain,
( ( sum @ n8 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10919,plain,
( ( sk__2
= ( sum @ n22 @ n3 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3635,zip_derived_cl452,zip_derived_cl76,zip_derived_cl451,zip_derived_cl75,zip_derived_cl308]) ).
thf(zip_derived_cl654_2361,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11374,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n14 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10919,zip_derived_cl654]) ).
thf(zip_derived_cl0_2362,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('340',plain,
( ( sk__1 != n8 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11374,zip_derived_cl0]) ).
thf(zip_derived_cl634_2363,plain,
( ( sum @ n21 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_2364,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2365,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3642,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_cl1103,zip_derived_cl3620]) ).
thf(zip_derived_cl11232,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n8 @ ( pred @ ( sum @ n21 @ n8 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl634,zip_derived_cl3642]) ).
thf(zip_derived_cl57_2366,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633,plain,
( ( sum @ n21 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2367,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_2368,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11234,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n21 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11232,zip_derived_cl57,zip_derived_cl633,zip_derived_cl56,zip_derived_cl289,zip_derived_cl167]) ).
thf(zip_derived_cl12_2369,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('341',plain,
( ( sk__1 != n8 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11234,zip_derived_cl12]) ).
thf(zip_derived_cl1095_2370,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2371,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3634,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_cl1095,zip_derived_cl3620]) ).
thf(zip_derived_cl426_2372,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2373,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2374,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307_2375,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10916,plain,
( ( sk__2
= ( sum @ n21 @ n2 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3634,zip_derived_cl426,zip_derived_cl75,zip_derived_cl425,zip_derived_cl74,zip_derived_cl307]) ).
thf(zip_derived_cl627,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11177,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n13 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10916,zip_derived_cl627]) ).
thf(zip_derived_cl2_2376,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('342',plain,
( ( sk__1 != n8 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11177,zip_derived_cl2]) ).
thf(zip_derived_cl608_2377,plain,
( ( sum @ n20 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_2378,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2379,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3641,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_cl1102,zip_derived_cl3620]) ).
thf(zip_derived_cl11043,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n8 @ ( pred @ ( sum @ n20 @ n8 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl608,zip_derived_cl3641]) ).
thf(zip_derived_cl56_2380,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl607_2381,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2382,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_2383,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_2384,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11044,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n20 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11043,zip_derived_cl56,zip_derived_cl607,zip_derived_cl55,zip_derived_cl288,zip_derived_cl140]) ).
thf(zip_derived_cl14_2385,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('343',plain,
( ( sk__1 != n8 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11044,zip_derived_cl14]) ).
thf(zip_derived_cl1094_2386,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2387,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3633,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_cl1094,zip_derived_cl3620]) ).
thf(zip_derived_cl400_2388,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2389,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_2390,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2391,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306,plain,
( ( sum @ n8 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10913,plain,
( ( sk__2
= ( sum @ n20 @ n1 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3633,zip_derived_cl400,zip_derived_cl74,zip_derived_cl399,zip_derived_cl73,zip_derived_cl306]) ).
thf(zip_derived_cl600_2392,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10993,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n12 )
& ( sk__1 = n8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10913,zip_derived_cl600]) ).
thf(zip_derived_cl4_2393,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('344',plain,
( ( sk__1 != n8 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10993,zip_derived_cl4]) ).
thf(zip_derived_cl1101_2394,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2395,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3640,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_cl1101,zip_derived_cl3620]) ).
thf(zip_derived_cl582_2396,plain,
( ( sum @ n19 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2397,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581,plain,
( ( sum @ n19 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2398,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_2399,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_2400,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10933,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n19 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3640,zip_derived_cl582,zip_derived_cl55,zip_derived_cl581,zip_derived_cl54,zip_derived_cl287,zip_derived_cl113]) ).
thf(zip_derived_cl16_2401,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('345',plain,
( ( sk__1 != n8 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10933,zip_derived_cl16]) ).
thf(zip_derived_cl1100_2402,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2403,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3639,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_cl1100,zip_derived_cl3620]) ).
thf(zip_derived_cl556_2404,plain,
( ( sum @ n18 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2405,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555_2406,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2407,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_2408,plain,
( ( sum @ n8 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl86_2409,plain,
( ( sum @ n0 @ n7 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10931,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n18 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3639,zip_derived_cl556,zip_derived_cl54,zip_derived_cl555,zip_derived_cl53,zip_derived_cl312,zip_derived_cl86]) ).
thf(zip_derived_cl18_2410,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('346',plain,
( ( sk__1 != n8 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10931,zip_derived_cl18]) ).
thf(zip_derived_cl1093_2411,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2412,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3632,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_cl1093,zip_derived_cl3620]) ).
thf(zip_derived_cl374_2413,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2414,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_2415,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2416,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305_2417,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl573_2418,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10911,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n11 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3632,zip_derived_cl374,zip_derived_cl73,zip_derived_cl373,zip_derived_cl72,zip_derived_cl305,zip_derived_cl573]) ).
thf(zip_derived_cl6_2419,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('347',plain,
( ( sk__1 != n8 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10911,zip_derived_cl6]) ).
thf(zip_derived_cl1092_2420,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2421,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3631,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_cl1092,zip_derived_cl3620]) ).
thf(zip_derived_cl348_2422,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2423,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl347_2424,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2425,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572_2426,plain,
( ( sum @ n18 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10909,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n10 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3631,zip_derived_cl348,zip_derived_cl72,zip_derived_cl347,zip_derived_cl71,zip_derived_cl304,zip_derived_cl572]) ).
thf(zip_derived_cl8_2427,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('348',plain,
( ( sk__1 != n8 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10909,zip_derived_cl8]) ).
thf(zip_derived_cl1091_2428,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2429,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3630,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_cl1091,zip_derived_cl3620]) ).
thf(zip_derived_cl322_2430,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2431,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl321_2432,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2433,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_2434,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545_2435,plain,
( ( sum @ n17 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10907,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n9 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3630,zip_derived_cl322,zip_derived_cl71,zip_derived_cl321,zip_derived_cl70,zip_derived_cl303,zip_derived_cl545]) ).
thf(zip_derived_cl10_2436,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('349',plain,
( ( sk__1 != n8 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10907,zip_derived_cl10]) ).
thf(zip_derived_cl1090_2437,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2438,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3629,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_cl1090,zip_derived_cl3620]) ).
thf(zip_derived_cl296_2439,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2440,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_2441,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2442,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_2443,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518,plain,
( ( sum @ n16 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10905,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n8 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3629,zip_derived_cl296,zip_derived_cl70,zip_derived_cl295,zip_derived_cl69,zip_derived_cl302,zip_derived_cl518]) ).
thf(zip_derived_cl12_2444,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('350',plain,
( ( sk__1 != n8 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10905,zip_derived_cl12]) ).
thf(zip_derived_cl1089_2445,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2446,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3628,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_cl1089,zip_derived_cl3620]) ).
thf(zip_derived_cl270_2447,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2448,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl269_2449,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2450,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_2451,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491,plain,
( ( sum @ n15 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10903,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n7 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3628,zip_derived_cl270,zip_derived_cl69,zip_derived_cl269,zip_derived_cl68,zip_derived_cl301,zip_derived_cl491]) ).
thf(zip_derived_cl14_2452,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('351',plain,
( ( sk__1 != n8 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10903,zip_derived_cl14]) ).
thf(zip_derived_cl1085_2453,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3620_2454,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n9 ) ) @ ( sum @ n8 @ ( pred @ ( sum @ sk_ @ n8 ) ) ) ) )
<= ( sk__1 = n8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1570]) ).
thf(zip_derived_cl3624,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_cl1085,zip_derived_cl3620]) ).
thf(zip_derived_cl166_2455,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2456,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl165_2457,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2458,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_2459,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383,plain,
( ( sum @ n11 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10853,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n3 )
& ( sk__1 = n8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3624,zip_derived_cl166,zip_derived_cl65,zip_derived_cl165,zip_derived_cl64,zip_derived_cl297,zip_derived_cl383]) ).
thf(zip_derived_cl22_2460,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('352',plain,
( ( sk__1 != n8 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10853,zip_derived_cl22]) ).
thf(zip_derived_cl1089_2461,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_2462,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6873,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_cl1089,zip_derived_cl6865]) ).
thf(zip_derived_cl285_2463,plain,
( ( sum @ n7 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2464,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284,plain,
( ( sum @ n7 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2465,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl680_2466,plain,
( ( sum @ n23 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl183_2467,plain,
( ( sum @ n4 @ n0 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14634,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n7 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6873,zip_derived_cl285,zip_derived_cl58,zip_derived_cl284,zip_derived_cl57,zip_derived_cl680,zip_derived_cl183]) ).
thf(zip_derived_cl21_2468,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('353',plain,
( ( sk_ != n7 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14634,zip_derived_cl21]) ).
thf(zip_derived_cl1089_2469,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_2470,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6818,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_cl1089,zip_derived_cl6810]) ).
thf(zip_derived_cl284_2471,plain,
( ( sum @ n7 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2472,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283,plain,
( ( sum @ n7 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2473,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl181_2474,plain,
( ( sum @ n3 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14520,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n7 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6818,zip_derived_cl284,zip_derived_cl57,zip_derived_cl283,zip_derived_cl56,zip_derived_cl653,zip_derived_cl181]) ).
thf(zip_derived_cl24_2475,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('354',plain,
( ( sk_ != n7 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14520,zip_derived_cl24]) ).
thf(zip_derived_cl1089_2476,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_2477,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6739,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_cl1089,zip_derived_cl6731]) ).
thf(zip_derived_cl283_2478,plain,
( ( sum @ n7 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2479,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_2480,plain,
( ( sum @ n7 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2481,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_2482,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_2483,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14406,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n7 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6739,zip_derived_cl283,zip_derived_cl56,zip_derived_cl282,zip_derived_cl55,zip_derived_cl626,zip_derived_cl153]) ).
thf(zip_derived_cl1_2484,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('355',plain,
( ( sk_ != n7 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14406,zip_derived_cl1]) ).
thf(zip_derived_cl1089_2485,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_2486,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6624,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_cl1089,zip_derived_cl6616]) ).
thf(zip_derived_cl281_2487,plain,
( ( sum @ n7 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2488,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280,plain,
( ( sum @ n7 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2489,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl598_2490,plain,
( ( sum @ n19 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl97_2491,plain,
( ( sum @ n0 @ n18 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14176,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n7 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6624,zip_derived_cl281,zip_derived_cl54,zip_derived_cl280,zip_derived_cl53,zip_derived_cl598,zip_derived_cl97]) ).
thf(zip_derived_cl7_2492,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('356',plain,
( ( sk_ != n7 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14176,zip_derived_cl7]) ).
thf(zip_derived_cl1089_2493,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_2494,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6569,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_cl1089,zip_derived_cl6561]) ).
thf(zip_derived_cl280_2495,plain,
( ( sum @ n7 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2496,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2497,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl571_2498,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl745_2499,plain,
( ( sum @ n25 @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14062,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n7 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6569,zip_derived_cl280,zip_derived_cl53,zip_derived_cl279,zip_derived_cl78,zip_derived_cl571,zip_derived_cl745]) ).
thf(zip_derived_cl10_2500,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('357',plain,
( ( sk__1 != n18 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14062,zip_derived_cl10]) ).
thf(zip_derived_cl1089_2501,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_2502,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6509,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_cl1089,zip_derived_cl6501]) ).
thf(zip_derived_cl279_2503,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2504,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2505,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544,plain,
( ( sum @ n17 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_2506,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13948,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n7 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6509,zip_derived_cl279,zip_derived_cl78,zip_derived_cl278,zip_derived_cl77,zip_derived_cl544,zip_derived_cl717]) ).
thf(zip_derived_cl13_2507,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('358',plain,
( ( sk_ != n7 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13948,zip_derived_cl13]) ).
thf(zip_derived_cl1089_2508,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_2509,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6447,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_cl1089,zip_derived_cl6439]) ).
thf(zip_derived_cl278_2510,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2511,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_2512,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2513,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl689_2514,plain,
( ( sum @ n23 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13834,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n7 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6447,zip_derived_cl278,zip_derived_cl77,zip_derived_cl277,zip_derived_cl76,zip_derived_cl517,zip_derived_cl689]) ).
thf(zip_derived_cl16_2515,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('359',plain,
( ( sk_ != n7 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13834,zip_derived_cl16]) ).
thf(zip_derived_cl1089_2516,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_2517,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6392,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_cl1089,zip_derived_cl6384]) ).
thf(zip_derived_cl277_2518,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2519,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2520,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_2521,plain,
( ( sum @ n15 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13718,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n7 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6392,zip_derived_cl277,zip_derived_cl76,zip_derived_cl276,zip_derived_cl75,zip_derived_cl490,zip_derived_cl661]) ).
thf(zip_derived_cl19_2522,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('360',plain,
( ( sk_ != n7 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13718,zip_derived_cl19]) ).
thf(zip_derived_cl1089_2523,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_2524,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6337,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_cl1089,zip_derived_cl6329]) ).
thf(zip_derived_cl276_2525,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2526,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_2527,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2528,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463_2529,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633_2530,plain,
( ( sum @ n21 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13604,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n7 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6337,zip_derived_cl276,zip_derived_cl75,zip_derived_cl275,zip_derived_cl74,zip_derived_cl463,zip_derived_cl633]) ).
thf(zip_derived_cl22_2531,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('361',plain,
( ( sk_ != n7 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13604,zip_derived_cl22]) ).
thf(zip_derived_cl1089_2532,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_2533,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6277,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_cl1089,zip_derived_cl6269]) ).
thf(zip_derived_cl275_2534,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2535,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_2536,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2537,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_2538,plain,
( ( sum @ n13 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl605_2539,plain,
( ( sum @ n20 @ n6 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13490,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n7 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6277,zip_derived_cl275,zip_derived_cl74,zip_derived_cl274,zip_derived_cl73,zip_derived_cl436,zip_derived_cl605]) ).
thf(zip_derived_cl25_2540,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('362',plain,
( ( sk_ != n7 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13490,zip_derived_cl25]) ).
thf(zip_derived_cl1089_2541,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_2542,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5184,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_cl1089,zip_derived_cl5176]) ).
thf(zip_derived_cl274_2543,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2544,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl273_2545,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2546,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_2547,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577_2548,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12650,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n7 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5184,zip_derived_cl274,zip_derived_cl73,zip_derived_cl273,zip_derived_cl72,zip_derived_cl409,zip_derived_cl577]) ).
thf(zip_derived_cl2_2549,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('363',plain,
( ( sk_ != n7 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12650,zip_derived_cl2]) ).
thf(zip_derived_cl1089_2550,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_2551,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4776,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_cl1089,zip_derived_cl4768]) ).
thf(zip_derived_cl273_2552,plain,
( ( sum @ n7 @ n12 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2553,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl272_2554,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2555,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_2556,plain,
( ( sum @ n11 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12298,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n7 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4776,zip_derived_cl273,zip_derived_cl72,zip_derived_cl272,zip_derived_cl71,zip_derived_cl382,zip_derived_cl549]) ).
thf(zip_derived_cl5_2557,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('364',plain,
( ( sk__1 != n11 )
| ( sk_ != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12298,zip_derived_cl5]) ).
thf(zip_derived_cl1089_2558,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_2559,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4373,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_cl1089,zip_derived_cl4365]) ).
thf(zip_derived_cl272_2560,plain,
( ( sum @ n7 @ n11 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2561,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_2562,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2563,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521_2564,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11869,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n7 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4373,zip_derived_cl272,zip_derived_cl71,zip_derived_cl271,zip_derived_cl70,zip_derived_cl355,zip_derived_cl521]) ).
thf(zip_derived_cl8_2565,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('365',plain,
( ( sk_ != n7 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11869,zip_derived_cl8]) ).
thf(zip_derived_cl1089_2566,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_2567,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3996,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_cl1089,zip_derived_cl3988]) ).
thf(zip_derived_cl271_2568,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2569,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_2570,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2571,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_2572,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519_2573,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11308,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n7 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3996,zip_derived_cl271,zip_derived_cl70,zip_derived_cl270,zip_derived_cl69,zip_derived_cl328,zip_derived_cl519]) ).
thf(zip_derived_cl11_2574,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('366',plain,
( ( sk_ != n7 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11308,zip_derived_cl11]) ).
thf(zip_derived_cl1089_2575,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2576,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3246,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_cl1089,zip_derived_cl3238]) ).
thf(zip_derived_cl269_2577,plain,
( ( sum @ n7 @ n8 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2578,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl268_2579,plain,
( ( sum @ n7 @ n7 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_2580,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl274_2581,plain,
( ( sum @ n7 @ n13 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl463_2582,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10513,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n7 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3246,zip_derived_cl269,zip_derived_cl68,zip_derived_cl268,zip_derived_cl67,zip_derived_cl274,zip_derived_cl463]) ).
thf(zip_derived_cl17_2583,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('367',plain,
( ( sk_ != n7 )
| ( sk__1 != n7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10513,zip_derived_cl17]) ).
thf(zip_derived_cl1089_2584,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2585,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2416,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_cl1089,zip_derived_cl2399]) ).
thf(zip_derived_cl266_2586,plain,
( ( sum @ n7 @ n5 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2587,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_2588,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2589,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl193_2590,plain,
( ( sum @ n4 @ n10 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_2591,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10060,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n7 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2416,zip_derived_cl266,zip_derived_cl65,zip_derived_cl265,zip_derived_cl64,zip_derived_cl193,zip_derived_cl379]) ).
thf(zip_derived_cl0_2592,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('368',plain,
( ( sk_ != n7 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10060,zip_derived_cl0]) ).
thf(zip_derived_cl1089_2593,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_2594,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2073,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_cl1089,zip_derived_cl2064]) ).
thf(zip_derived_cl264_2595,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2596,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2597,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_2598,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_2599,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9941,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n7 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2073,zip_derived_cl264,zip_derived_cl63,zip_derived_cl263,zip_derived_cl62,zip_derived_cl139,zip_derived_cl323]) ).
thf(zip_derived_cl6_2600,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('369',plain,
( ( sk_ != n7 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9941,zip_derived_cl6]) ).
thf(zip_derived_cl1089_2601,plain,
( ( sk_ = n7 )
<= ( sk_ = n7 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_2602,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2017,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_cl1089,zip_derived_cl2009]) ).
thf(zip_derived_cl263_2603,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2604,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_2605,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_2606,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2607,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl295_2608,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9888,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n7 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2017,zip_derived_cl263,zip_derived_cl62,zip_derived_cl262,zip_derived_cl61,zip_derived_cl112,zip_derived_cl295]) ).
thf(zip_derived_cl9_2609,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('370',plain,
( ( sk_ != n7 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9888,zip_derived_cl9]) ).
thf(zip_derived_cl555_2610,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_2611,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2612,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3257,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_cl1100,zip_derived_cl3238]) ).
thf(zip_derived_cl10725,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n7 @ ( pred @ ( sum @ n18 @ n7 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl555,zip_derived_cl3257]) ).
thf(zip_derived_cl53_2613,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554_2614,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2615,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_2616,plain,
( ( sum @ n7 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10726,plain,
( ( sk__2
= ( sum @ n25 @ n5 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10725,zip_derived_cl53,zip_derived_cl554,zip_derived_cl78,zip_derived_cl285]) ).
thf(zip_derived_cl734_2617,plain,
( ( sum @ n25 @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11991,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n18 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10726,zip_derived_cl734]) ).
thf(zip_derived_cl21_2618,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('371',plain,
( ( sk__1 != n7 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11991,zip_derived_cl21]) ).
thf(zip_derived_cl711_2619,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_2620,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2621,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3263,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_cl1106,zip_derived_cl3238]) ).
thf(zip_derived_cl11821,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n7 @ ( pred @ ( sum @ n24 @ n7 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl711,zip_derived_cl3263]) ).
thf(zip_derived_cl59_2622,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710_2623,plain,
( ( sum @ n24 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2624,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl265_2625,plain,
( ( sum @ n7 @ n4 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl220_2626,plain,
( ( sum @ n5 @ n11 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11824,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n24 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11821,zip_derived_cl59,zip_derived_cl710,zip_derived_cl58,zip_derived_cl265,zip_derived_cl220]) ).
thf(zip_derived_cl9_2627,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('372',plain,
( ( sk__1 != n7 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11824,zip_derived_cl9]) ).
thf(zip_derived_cl529_2628,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_2629,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2630,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3256,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_cl1099,zip_derived_cl3238]) ).
thf(zip_derived_cl10580,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n7 @ ( pred @ ( sum @ n17 @ n7 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl529,zip_derived_cl3256]) ).
thf(zip_derived_cl78_2631,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528_2632,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2633,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_2634,plain,
( ( sum @ n7 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10581,plain,
( ( sk__2
= ( sum @ n24 @ n4 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10580,zip_derived_cl78,zip_derived_cl528,zip_derived_cl77,zip_derived_cl284]) ).
thf(zip_derived_cl707_2635,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11781,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n17 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10581,zip_derived_cl707]) ).
thf(zip_derived_cl23_2636,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('373',plain,
( ( sk__1 != n7 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11781,zip_derived_cl23]) ).
thf(zip_derived_cl1098_2637,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2638,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3255,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_cl1098,zip_derived_cl3238]) ).
thf(zip_derived_cl503_2639,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2640,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_2641,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2642,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_2643,plain,
( ( sum @ n7 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10535,plain,
( ( sk__2
= ( sum @ n23 @ n3 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3255,zip_derived_cl503,zip_derived_cl77,zip_derived_cl502,zip_derived_cl76,zip_derived_cl283]) ).
thf(zip_derived_cl680_2644,plain,
( ( sum @ n23 @ n3 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11566,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n16 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10535,zip_derived_cl680]) ).
thf(zip_derived_cl25_2645,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('374',plain,
( ( sk__1 != n7 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11566,zip_derived_cl25]) ).
thf(zip_derived_cl659_2646,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2647,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2648,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3261,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_cl1104,zip_derived_cl3238]) ).
thf(zip_derived_cl11413,plain,
( ( sk__2
= ( sum @ ( pred @ n4 ) @ ( sum @ n7 @ ( pred @ ( sum @ n22 @ n7 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl659,zip_derived_cl3261]) ).
thf(zip_derived_cl57_2649,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658_2650,plain,
( ( sum @ n22 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2651,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_2652,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_2653,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11416,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n22 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11413,zip_derived_cl57,zip_derived_cl658,zip_derived_cl56,zip_derived_cl263,zip_derived_cl166]) ).
thf(zip_derived_cl13_2654,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('375',plain,
( ( sk__1 != n7 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11416,zip_derived_cl13]) ).
thf(zip_derived_cl1097_2655,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2656,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3254,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_cl1097,zip_derived_cl3238]) ).
thf(zip_derived_cl477_2657,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2658,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_2659,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2660,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_2661,plain,
( ( sum @ n7 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10530,plain,
( ( sk__2
= ( sum @ n22 @ n2 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3254,zip_derived_cl477,zip_derived_cl76,zip_derived_cl476,zip_derived_cl75,zip_derived_cl282]) ).
thf(zip_derived_cl653_2662,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11363,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n15 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10530,zip_derived_cl653]) ).
thf(zip_derived_cl1_2663,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('376',plain,
( ( sk__1 != n7 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11363,zip_derived_cl1]) ).
thf(zip_derived_cl633_2664,plain,
( ( sum @ n21 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_2665,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2666,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3260,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_cl1103,zip_derived_cl3238]) ).
thf(zip_derived_cl11222,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n7 @ ( pred @ ( sum @ n21 @ n7 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl633,zip_derived_cl3260]) ).
thf(zip_derived_cl56_2667,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_2668,plain,
( ( sum @ n21 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2669,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_2670,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl139_2671,plain,
( ( sum @ n2 @ n8 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11225,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n21 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11222,zip_derived_cl56,zip_derived_cl632,zip_derived_cl55,zip_derived_cl262,zip_derived_cl139]) ).
thf(zip_derived_cl15_2672,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('377',plain,
( ( sk__1 != n7 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11225,zip_derived_cl15]) ).
thf(zip_derived_cl1096_2673,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2674,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3253,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_cl1096,zip_derived_cl3238]) ).
thf(zip_derived_cl451_2675,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2676,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_2677,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2678,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_2679,plain,
( ( sum @ n7 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10527,plain,
( ( sk__2
= ( sum @ n21 @ n1 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3253,zip_derived_cl451,zip_derived_cl75,zip_derived_cl450,zip_derived_cl74,zip_derived_cl281]) ).
thf(zip_derived_cl626_2680,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11170,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n14 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10527,zip_derived_cl626]) ).
thf(zip_derived_cl3_2681,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('378',plain,
( ( sk__1 != n7 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11170,zip_derived_cl3]) ).
thf(zip_derived_cl607_2682,plain,
( ( sum @ n20 @ n8 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_2683,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2684,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3259,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_cl1102,zip_derived_cl3238]) ).
thf(zip_derived_cl11036,plain,
( ( sk__2
= ( sum @ ( pred @ n2 ) @ ( sum @ n7 @ ( pred @ ( sum @ n20 @ n7 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl607,zip_derived_cl3259]) ).
thf(zip_derived_cl55_2685,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl606_2686,plain,
( ( sum @ n20 @ n7 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2687,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl261_2688,plain,
( ( sum @ n7 @ n0 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl112_2689,plain,
( ( sum @ n1 @ n7 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11038,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n20 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11036,zip_derived_cl55,zip_derived_cl606,zip_derived_cl54,zip_derived_cl261,zip_derived_cl112]) ).
thf(zip_derived_cl17_2690,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('379',plain,
( ( sk__1 != n7 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11038,zip_derived_cl17]) ).
thf(zip_derived_cl1095_2691,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2692,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3252,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_cl1095,zip_derived_cl3238]) ).
thf(zip_derived_cl425_2693,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2694,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_2695,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2696,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_2697,plain,
( ( sum @ n7 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10525,plain,
( ( sk__2
= ( sum @ n20 @ n0 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3252,zip_derived_cl425,zip_derived_cl74,zip_derived_cl424,zip_derived_cl73,zip_derived_cl280]) ).
thf(zip_derived_cl599_2698,plain,
( ( sum @ n20 @ n0 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10984,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n13 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10525,zip_derived_cl599]) ).
thf(zip_derived_cl5_2699,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('380',plain,
( ( sk__1 != n7 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10984,zip_derived_cl5]) ).
thf(zip_derived_cl1094_2700,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2701,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3251,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_cl1094,zip_derived_cl3238]) ).
thf(zip_derived_cl399_2702,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2703,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_2704,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2705,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_2706,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10524,plain,
( ( sk__2
= ( sum @ n19 @ n25 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3251,zip_derived_cl399,zip_derived_cl73,zip_derived_cl398,zip_derived_cl72,zip_derived_cl279]) ).
thf(zip_derived_cl598_2707,plain,
( ( sum @ n19 @ n25 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10976,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n12 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10524,zip_derived_cl598]) ).
thf(zip_derived_cl7_2708,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('381',plain,
( ( sk__1 != n7 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10976,zip_derived_cl7]) ).
thf(zip_derived_cl581_2709,plain,
( ( sum @ n19 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_2710,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2711,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3258,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_cl1101,zip_derived_cl3238]) ).
thf(zip_derived_cl10893,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n7 @ ( pred @ ( sum @ n19 @ n7 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl581,zip_derived_cl3258]) ).
thf(zip_derived_cl54_2712,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580_2713,plain,
( ( sum @ n19 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2714,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_2715,plain,
( ( sum @ n7 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl85_2716,plain,
( ( sum @ n0 @ n6 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10894,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n19 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10893,zip_derived_cl54,zip_derived_cl580,zip_derived_cl53,zip_derived_cl286,zip_derived_cl85]) ).
thf(zip_derived_cl19_2717,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('382',plain,
( ( sk__1 != n7 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10894,zip_derived_cl19]) ).
thf(zip_derived_cl1093_2718,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2719,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3250,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_cl1093,zip_derived_cl3238]) ).
thf(zip_derived_cl373_2720,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2721,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_2722,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2723,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_2724,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10521,plain,
( ( sk__2
= ( sum @ n18 @ n24 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3250,zip_derived_cl373,zip_derived_cl72,zip_derived_cl372,zip_derived_cl71,zip_derived_cl278]) ).
thf(zip_derived_cl571_2725,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10831,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n11 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10521,zip_derived_cl571]) ).
thf(zip_derived_cl9_2726,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('383',plain,
( ( sk__1 != n7 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10831,zip_derived_cl9]) ).
thf(zip_derived_cl1092_2727,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2728,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3249,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_cl1092,zip_derived_cl3238]) ).
thf(zip_derived_cl347_2729,plain,
( ( sum @ n10 @ n8 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2730,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346_2731,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2732,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl277_2733,plain,
( ( sum @ n7 @ n16 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10520,plain,
( ( sk__2
= ( sum @ n17 @ n23 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3249,zip_derived_cl347,zip_derived_cl71,zip_derived_cl346,zip_derived_cl70,zip_derived_cl277]) ).
thf(zip_derived_cl544_2734,plain,
( ( sum @ n17 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10654,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n10 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10520,zip_derived_cl544]) ).
thf(zip_derived_cl11_2735,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('384',plain,
( ( sk__1 != n7 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10654,zip_derived_cl11]) ).
thf(zip_derived_cl1091_2736,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2737,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3248,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_cl1091,zip_derived_cl3238]) ).
thf(zip_derived_cl321_2738,plain,
( ( sum @ n9 @ n8 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2739,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl320_2740,plain,
( ( sum @ n9 @ n7 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2741,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_2742,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10519,plain,
( ( sk__2
= ( sum @ n16 @ n22 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3248,zip_derived_cl321,zip_derived_cl70,zip_derived_cl320,zip_derived_cl69,zip_derived_cl276]) ).
thf(zip_derived_cl517_2743,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10533,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n9 )
& ( sk__1 = n7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10519,zip_derived_cl517]) ).
thf(zip_derived_cl13_2744,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('385',plain,
( ( sk__1 != n7 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10533,zip_derived_cl13]) ).
thf(zip_derived_cl1090_2745,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2746,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3247,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_cl1090,zip_derived_cl3238]) ).
thf(zip_derived_cl295_2747,plain,
( ( sum @ n8 @ n8 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_2748,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl294_2749,plain,
( ( sum @ n8 @ n7 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_2750,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl275_2751,plain,
( ( sum @ n7 @ n14 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_2752,plain,
( ( sum @ n15 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10515,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n8 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3247,zip_derived_cl295,zip_derived_cl69,zip_derived_cl294,zip_derived_cl68,zip_derived_cl275,zip_derived_cl490]) ).
thf(zip_derived_cl15_2753,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('386',plain,
( ( sk__1 != n7 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10515,zip_derived_cl15]) ).
thf(zip_derived_cl1085_2754,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3238_2755,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n8 ) ) @ ( sum @ n7 @ ( pred @ ( sum @ sk_ @ n7 ) ) ) ) )
<= ( sk__1 = n7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl1569]) ).
thf(zip_derived_cl3242,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_cl1085,zip_derived_cl3238]) ).
thf(zip_derived_cl165_2756,plain,
( ( sum @ n3 @ n8 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2757,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl164_2758,plain,
( ( sum @ n3 @ n7 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2759,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl270_2760,plain,
( ( sum @ n7 @ n9 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_2761,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10503,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n3 )
& ( sk__1 = n7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3242,zip_derived_cl165,zip_derived_cl64,zip_derived_cl164,zip_derived_cl63,zip_derived_cl270,zip_derived_cl355]) ).
thf(zip_derived_cl25_2762,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('387',plain,
( ( sk__1 != n7 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10503,zip_derived_cl25]) ).
thf(zip_derived_cl1090_2763,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_2764,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6874,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_cl1090,zip_derived_cl6865]) ).
thf(zip_derived_cl311_2765,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_2766,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_2767,plain,
( ( sum @ n8 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2768,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl681_2769,plain,
( ( sum @ n23 @ n4 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl210_2770,plain,
( ( sum @ n5 @ n1 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14636,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n8 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6874,zip_derived_cl311,zip_derived_cl59,zip_derived_cl310,zip_derived_cl58,zip_derived_cl681,zip_derived_cl210]) ).
thf(zip_derived_cl19_2771,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('388',plain,
( ( sk_ != n8 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14636,zip_derived_cl19]) ).
thf(zip_derived_cl1090_2772,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_2773,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6819,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_cl1090,zip_derived_cl6810]) ).
thf(zip_derived_cl310_2774,plain,
( ( sum @ n8 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_2775,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309_2776,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2777,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl654_2778,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_2779,plain,
( ( sum @ n4 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14522,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n8 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6819,zip_derived_cl310,zip_derived_cl58,zip_derived_cl309,zip_derived_cl57,zip_derived_cl654,zip_derived_cl208]) ).
thf(zip_derived_cl22_2780,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('389',plain,
( ( sk_ != n8 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14522,zip_derived_cl22]) ).
thf(zip_derived_cl1090_2781,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_2782,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6740,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_cl1090,zip_derived_cl6731]) ).
thf(zip_derived_cl309_2783,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_2784,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_2785,plain,
( ( sum @ n8 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_2786,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl627_2787,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_2788,plain,
( ( sum @ n3 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14408,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n8 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6740,zip_derived_cl309,zip_derived_cl57,zip_derived_cl308,zip_derived_cl56,zip_derived_cl627,zip_derived_cl180]) ).
thf(zip_derived_cl25_2789,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('390',plain,
( ( sk_ != n8 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14408,zip_derived_cl25]) ).
thf(zip_derived_cl1090_2790,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_2791,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6625,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_cl1090,zip_derived_cl6616]) ).
thf(zip_derived_cl307_2792,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2793,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306_2794,plain,
( ( sum @ n8 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2795,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl573_2796,plain,
( ( sum @ n19 @ n0 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_2797,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14178,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n8 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6625,zip_derived_cl307,zip_derived_cl55,zip_derived_cl306,zip_derived_cl54,zip_derived_cl573,zip_derived_cl124]) ).
thf(zip_derived_cl5_2798,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('391',plain,
( ( sk_ != n8 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14178,zip_derived_cl5]) ).
thf(zip_derived_cl1090_2799,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_2800,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6570,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_cl1090,zip_derived_cl6561]) ).
thf(zip_derived_cl306_2801,plain,
( ( sum @ n8 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_2802,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl305_2803,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2804,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl572_2805,plain,
( ( sum @ n18 @ n25 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl96_2806,plain,
( ( sum @ n0 @ n17 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14064,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n8 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6570,zip_derived_cl306,zip_derived_cl54,zip_derived_cl305,zip_derived_cl53,zip_derived_cl572,zip_derived_cl96]) ).
thf(zip_derived_cl8_2807,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('392',plain,
( ( sk__1 != n18 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14064,zip_derived_cl8]) ).
thf(zip_derived_cl1090_2808,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_2809,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6510,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_cl1090,zip_derived_cl6501]) ).
thf(zip_derived_cl305_2810,plain,
( ( sum @ n8 @ n18 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2811,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_2812,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2813,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl545_2814,plain,
( ( sum @ n17 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl744_2815,plain,
( ( sum @ n25 @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13950,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n8 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6510,zip_derived_cl305,zip_derived_cl53,zip_derived_cl304,zip_derived_cl78,zip_derived_cl545,zip_derived_cl744]) ).
thf(zip_derived_cl11_2816,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('393',plain,
( ( sk_ != n8 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13950,zip_derived_cl11]) ).
thf(zip_derived_cl1090_2817,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_2818,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6448,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_cl1090,zip_derived_cl6439]) ).
thf(zip_derived_cl304_2819,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2820,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl303_2821,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2822,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518_2823,plain,
( ( sum @ n16 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716_2824,plain,
( ( sum @ n24 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13836,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n8 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6448,zip_derived_cl304,zip_derived_cl78,zip_derived_cl303,zip_derived_cl77,zip_derived_cl518,zip_derived_cl716]) ).
thf(zip_derived_cl14_2825,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('394',plain,
( ( sk_ != n8 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13836,zip_derived_cl14]) ).
thf(zip_derived_cl1090_2826,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_2827,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6393,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_cl1090,zip_derived_cl6384]) ).
thf(zip_derived_cl303_2828,plain,
( ( sum @ n8 @ n16 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2829,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl302_2830,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2831,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_2832,plain,
( ( sum @ n15 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl688_2833,plain,
( ( sum @ n23 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13722,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n8 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6393,zip_derived_cl303,zip_derived_cl77,zip_derived_cl302,zip_derived_cl76,zip_derived_cl491,zip_derived_cl688]) ).
thf(zip_derived_cl17_2834,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('395',plain,
( ( sk_ != n8 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13722,zip_derived_cl17]) ).
thf(zip_derived_cl1090_2835,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_2836,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6338,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_cl1090,zip_derived_cl6329]) ).
thf(zip_derived_cl302_2837,plain,
( ( sum @ n8 @ n15 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2838,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl301_2839,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2840,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_2841,plain,
( ( sum @ n14 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660_2842,plain,
( ( sum @ n22 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13606,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n8 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6338,zip_derived_cl302,zip_derived_cl76,zip_derived_cl301,zip_derived_cl75,zip_derived_cl464,zip_derived_cl660]) ).
thf(zip_derived_cl20_2843,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('396',plain,
( ( sk_ != n8 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13606,zip_derived_cl20]) ).
thf(zip_derived_cl1090_2844,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_2845,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6278,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_cl1090,zip_derived_cl6269]) ).
thf(zip_derived_cl301_2846,plain,
( ( sum @ n8 @ n14 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2847,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl300_2848,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2849,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl437_2850,plain,
( ( sum @ n13 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_2851,plain,
( ( sum @ n21 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13492,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n8 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6278,zip_derived_cl301,zip_derived_cl75,zip_derived_cl300,zip_derived_cl74,zip_derived_cl437,zip_derived_cl632]) ).
thf(zip_derived_cl23_2852,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('397',plain,
( ( sk_ != n8 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13492,zip_derived_cl23]) ).
thf(zip_derived_cl1090_2853,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_2854,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5185,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_cl1090,zip_derived_cl5176]) ).
thf(zip_derived_cl300_2855,plain,
( ( sum @ n8 @ n13 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2856,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl299_2857,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2858,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_2859,plain,
( ( sum @ n12 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl604_2860,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12652,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n8 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5185,zip_derived_cl300,zip_derived_cl74,zip_derived_cl299,zip_derived_cl73,zip_derived_cl410,zip_derived_cl604]) ).
thf(zip_derived_cl0_2861,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('398',plain,
( ( sk_ != n8 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12652,zip_derived_cl0]) ).
thf(zip_derived_cl1090_2862,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_2863,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4777,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_cl1090,zip_derived_cl4768]) ).
thf(zip_derived_cl299_2864,plain,
( ( sum @ n8 @ n12 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2865,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl298_2866,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2867,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383_2868,plain,
( ( sum @ n11 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_2869,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12300,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n8 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4777,zip_derived_cl299,zip_derived_cl73,zip_derived_cl298,zip_derived_cl72,zip_derived_cl383,zip_derived_cl576]) ).
thf(zip_derived_cl3_2870,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('399',plain,
( ( sk__1 != n11 )
| ( sk_ != n8 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12300,zip_derived_cl3]) ).
thf(zip_derived_cl1090_2871,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_2872,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4374,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_cl1090,zip_derived_cl4365]) ).
thf(zip_derived_cl298_2873,plain,
( ( sum @ n8 @ n11 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2874,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl297_2875,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2876,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_2877,plain,
( ( sum @ n10 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548_2878,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11871,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n8 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4374,zip_derived_cl298,zip_derived_cl72,zip_derived_cl297,zip_derived_cl71,zip_derived_cl356,zip_derived_cl548]) ).
thf(zip_derived_cl6_2879,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('400',plain,
( ( sk_ != n8 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11871,zip_derived_cl6]) ).
thf(zip_derived_cl1090_2880,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_2881,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3997,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_cl1090,zip_derived_cl3988]) ).
thf(zip_derived_cl297_2882,plain,
( ( sum @ n8 @ n10 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_2883,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl296_2884,plain,
( ( sum @ n8 @ n9 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_2885,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_2886,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_2887,plain,
( ( sum @ n17 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11312,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n8 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3997,zip_derived_cl297,zip_derived_cl71,zip_derived_cl296,zip_derived_cl70,zip_derived_cl329,zip_derived_cl546]) ).
thf(zip_derived_cl9_2888,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('401',plain,
( ( sk_ != n8 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11312,zip_derived_cl9]) ).
thf(zip_derived_cl1090_2889,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2890,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2417,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_cl1090,zip_derived_cl2399]) ).
thf(zip_derived_cl292_2891,plain,
( ( sum @ n8 @ n5 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_2892,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_2893,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_2894,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl194_2895,plain,
( ( sum @ n4 @ n11 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_2896,plain,
( ( sum @ n12 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10062,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n8 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2417,zip_derived_cl292,zip_derived_cl66,zip_derived_cl291,zip_derived_cl65,zip_derived_cl194,zip_derived_cl406]) ).
thf(zip_derived_cl24_2897,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('402',plain,
( ( sk_ != n8 )
| ( sk__1 != n4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10062,zip_derived_cl24]) ).
thf(zip_derived_cl1090_2898,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_2899,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2074,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_cl1090,zip_derived_cl2064]) ).
thf(zip_derived_cl290_2900,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_2901,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_2902,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2903,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl140_2904,plain,
( ( sum @ n2 @ n9 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350_2905,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9943,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n8 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2074,zip_derived_cl290,zip_derived_cl64,zip_derived_cl289,zip_derived_cl63,zip_derived_cl140,zip_derived_cl350]) ).
thf(zip_derived_cl4_2906,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('403',plain,
( ( sk_ != n8 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9943,zip_derived_cl4]) ).
thf(zip_derived_cl1090_2907,plain,
( ( sk_ = n8 )
<= ( sk_ = n8 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_2908,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2018,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_cl1090,zip_derived_cl2009]) ).
thf(zip_derived_cl289_2909,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_2910,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl288_2911,plain,
( ( sum @ n8 @ n1 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_2912,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl113_2913,plain,
( ( sum @ n1 @ n8 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_2914,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9890,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n8 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2018,zip_derived_cl289,zip_derived_cl63,zip_derived_cl288,zip_derived_cl62,zip_derived_cl113,zip_derived_cl322]) ).
thf(zip_derived_cl7_2915,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('404',plain,
( ( sk_ != n8 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9890,zip_derived_cl7]) ).
thf(zip_derived_cl630_2916,plain,
( ( sum @ n21 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_2917,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2918,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2430,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_cl1103,zip_derived_cl2399]) ).
thf(zip_derived_cl11198,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n4 @ ( pred @ ( sum @ n21 @ n4 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl630,zip_derived_cl2430]) ).
thf(zip_derived_cl53_2919,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629_2920,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_2921,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_2922,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11200,plain,
( ( sk__2
= ( sum @ n25 @ n2 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11198,zip_derived_cl53,zip_derived_cl629,zip_derived_cl78,zip_derived_cl207]) ).
thf(zip_derived_cl731_2923,plain,
( ( sum @ n25 @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11960,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n21 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11200,zip_derived_cl731]) ).
thf(zip_derived_cl24_2924,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('405',plain,
( ( sk__1 != n4 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11960,zip_derived_cl24]) ).
thf(zip_derived_cl708_2925,plain,
( ( sum @ n24 @ n5 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_2926,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2927,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2433,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_cl1106,zip_derived_cl2399]) ).
thf(zip_derived_cl11788,plain,
( ( sk__2
= ( sum @ ( pred @ n3 ) @ ( sum @ n4 @ ( pred @ ( sum @ n24 @ n4 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl708,zip_derived_cl2433]) ).
thf(zip_derived_cl56_2928,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl707_2929,plain,
( ( sum @ n24 @ n4 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_2930,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl184_2931,plain,
( ( sum @ n4 @ n1 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl136_2932,plain,
( ( sum @ n2 @ n5 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11792,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n24 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11788,zip_derived_cl56,zip_derived_cl707,zip_derived_cl55,zip_derived_cl184,zip_derived_cl136]) ).
thf(zip_derived_cl18_2933,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('406',plain,
( ( sk__1 != n4 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11792,zip_derived_cl18]) ).
thf(zip_derived_cl604_2934,plain,
( ( sum @ n20 @ n5 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_2935,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2936,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2429,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_cl1102,zip_derived_cl2399]) ).
thf(zip_derived_cl11015,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n4 @ ( pred @ ( sum @ n20 @ n4 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl604,zip_derived_cl2429]) ).
thf(zip_derived_cl78_2937,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603_2938,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_2939,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl206_2940,plain,
( ( sum @ n4 @ n23 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11017,plain,
( ( sk__2
= ( sum @ n24 @ n1 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11015,zip_derived_cl78,zip_derived_cl603,zip_derived_cl77,zip_derived_cl206]) ).
thf(zip_derived_cl704_2941,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11750,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n20 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11017,zip_derived_cl704]) ).
thf(zip_derived_cl0_2942,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('407',plain,
( ( sk__1 != n4 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11750,zip_derived_cl0]) ).
thf(zip_derived_cl578_2943,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_2944,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2945,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2428,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_cl1101,zip_derived_cl2399]) ).
thf(zip_derived_cl10873,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n4 @ ( pred @ ( sum @ n19 @ n4 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl578,zip_derived_cl2428]) ).
thf(zip_derived_cl77_2946,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577_2947,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_2948,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_2949,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10876,plain,
( ( sk__2
= ( sum @ n23 @ n0 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10873,zip_derived_cl77,zip_derived_cl577,zip_derived_cl76,zip_derived_cl205]) ).
thf(zip_derived_cl677_2950,plain,
( ( sum @ n23 @ n0 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11539,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n19 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10876,zip_derived_cl677]) ).
thf(zip_derived_cl2_2951,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('408',plain,
( ( sk__1 != n4 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11539,zip_derived_cl2]) ).
thf(zip_derived_cl552_2952,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_2953,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2954,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2427,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_cl1100,zip_derived_cl2399]) ).
thf(zip_derived_cl10706,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n4 @ ( pred @ ( sum @ n18 @ n4 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl552,zip_derived_cl2427]) ).
thf(zip_derived_cl76_2955,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551_2956,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_2957,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_2958,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10709,plain,
( ( sk__2
= ( sum @ n22 @ n25 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10706,zip_derived_cl76,zip_derived_cl551,zip_derived_cl75,zip_derived_cl204]) ).
thf(zip_derived_cl676_2959,plain,
( ( sum @ n22 @ n25 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11528,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n18 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10709,zip_derived_cl676]) ).
thf(zip_derived_cl4_2960,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('409',plain,
( ( sk__1 != n4 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11528,zip_derived_cl4]) ).
thf(zip_derived_cl656_2961,plain,
( ( sum @ n22 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_2962,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2963,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2431,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_cl1104,zip_derived_cl2399]) ).
thf(zip_derived_cl11390,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n4 @ ( pred @ ( sum @ n22 @ n4 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl656,zip_derived_cl2431]) ).
thf(zip_derived_cl54_2964,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl655_2965,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_2966,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl208_2967,plain,
( ( sum @ n4 @ n25 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl82_2968,plain,
( ( sum @ n0 @ n3 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11393,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n22 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11390,zip_derived_cl54,zip_derived_cl655,zip_derived_cl53,zip_derived_cl208,zip_derived_cl82]) ).
thf(zip_derived_cl22_2969,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('410',plain,
( ( sk__1 != n4 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11393,zip_derived_cl22]) ).
thf(zip_derived_cl526_2970,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_2971,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2972,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2426,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_cl1099,zip_derived_cl2399]) ).
thf(zip_derived_cl10562,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n4 @ ( pred @ ( sum @ n17 @ n4 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl526,zip_derived_cl2426]) ).
thf(zip_derived_cl75_2973,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525_2974,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_2975,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_2976,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10565,plain,
( ( sk__2
= ( sum @ n21 @ n24 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10562,zip_derived_cl75,zip_derived_cl525,zip_derived_cl74,zip_derived_cl203]) ).
thf(zip_derived_cl649_2977,plain,
( ( sum @ n21 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11332,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n17 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10565,zip_derived_cl649]) ).
thf(zip_derived_cl6_2978,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('411',plain,
( ( sk__1 != n4 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11332,zip_derived_cl6]) ).
thf(zip_derived_cl500_2979,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_2980,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2981,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2425,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_cl1098,zip_derived_cl2399]) ).
thf(zip_derived_cl10425,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n4 @ ( pred @ ( sum @ n16 @ n4 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl500,zip_derived_cl2425]) ).
thf(zip_derived_cl74_2982,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_2983,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_2984,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_2985,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10428,plain,
( ( sk__2
= ( sum @ n20 @ n23 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10425,zip_derived_cl74,zip_derived_cl499,zip_derived_cl73,zip_derived_cl202]) ).
thf(zip_derived_cl622_2986,plain,
( ( sum @ n20 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11130,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n16 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10428,zip_derived_cl622]) ).
thf(zip_derived_cl8_2987,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('412',plain,
( ( sk__1 != n4 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11130,zip_derived_cl8]) ).
thf(zip_derived_cl474_2988,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_2989,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2990,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2424,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_cl1097,zip_derived_cl2399]) ).
thf(zip_derived_cl10288,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n4 @ ( pred @ ( sum @ n15 @ n4 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl474,zip_derived_cl2424]) ).
thf(zip_derived_cl73_2991,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_2992,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_2993,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_2994,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10290,plain,
( ( sk__2
= ( sum @ n19 @ n22 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10288,zip_derived_cl73,zip_derived_cl473,zip_derived_cl72,zip_derived_cl201]) ).
thf(zip_derived_cl595_2995,plain,
( ( sum @ n19 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10953,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n15 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10290,zip_derived_cl595]) ).
thf(zip_derived_cl10_2996,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('413',plain,
( ( sk__1 != n4 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10953,zip_derived_cl10]) ).
thf(zip_derived_cl448_2997,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_2998,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_2999,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2423,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_cl1096,zip_derived_cl2399]) ).
thf(zip_derived_cl10176,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n4 @ ( pred @ ( sum @ n14 @ n4 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl448,zip_derived_cl2423]) ).
thf(zip_derived_cl72_3000,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447_3001,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3002,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_3003,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10178,plain,
( ( sk__2
= ( sum @ n18 @ n21 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10176,zip_derived_cl72,zip_derived_cl447,zip_derived_cl71,zip_derived_cl200]) ).
thf(zip_derived_cl568_3004,plain,
( ( sum @ n18 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10803,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n14 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10178,zip_derived_cl568]) ).
thf(zip_derived_cl12_3005,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('414',plain,
( ( sk__1 != n4 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10803,zip_derived_cl12]) ).
thf(zip_derived_cl422_3006,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_3007,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_3008,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2422,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_cl1095,zip_derived_cl2399]) ).
thf(zip_derived_cl10092,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n4 @ ( pred @ ( sum @ n13 @ n4 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl422,zip_derived_cl2422]) ).
thf(zip_derived_cl71_3009,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_3010,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3011,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_3012,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10094,plain,
( ( sk__2
= ( sum @ n17 @ n20 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10092,zip_derived_cl71,zip_derived_cl421,zip_derived_cl70,zip_derived_cl199]) ).
thf(zip_derived_cl541_3013,plain,
( ( sum @ n17 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10628,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n13 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10094,zip_derived_cl541]) ).
thf(zip_derived_cl14_3014,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('415',plain,
( ( sk__1 != n4 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10628,zip_derived_cl14]) ).
thf(zip_derived_cl1094_3015,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_3016,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2421,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_cl1094,zip_derived_cl2399]) ).
thf(zip_derived_cl396_3017,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3018,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_3019,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3020,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_3021,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10067,plain,
( ( sk__2
= ( sum @ n16 @ n19 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2421,zip_derived_cl396,zip_derived_cl70,zip_derived_cl395,zip_derived_cl69,zip_derived_cl198]) ).
thf(zip_derived_cl514_3022,plain,
( ( sum @ n16 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10507,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n12 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10067,zip_derived_cl514]) ).
thf(zip_derived_cl16_3023,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('416',plain,
( ( sk__1 != n4 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10507,zip_derived_cl16]) ).
thf(zip_derived_cl1093_3024,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_3025,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2420,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_cl1093,zip_derived_cl2399]) ).
thf(zip_derived_cl370_3026,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3027,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_3028,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3029,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_3030,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10066,plain,
( ( sk__2
= ( sum @ n15 @ n18 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2420,zip_derived_cl370,zip_derived_cl69,zip_derived_cl369,zip_derived_cl68,zip_derived_cl197]) ).
thf(zip_derived_cl487_3031,plain,
( ( sum @ n15 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10339,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n11 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10066,zip_derived_cl487]) ).
thf(zip_derived_cl18_3032,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('417',plain,
( ( sk__1 != n4 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10339,zip_derived_cl18]) ).
thf(zip_derived_cl1092_3033,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_3034,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2419,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_cl1092,zip_derived_cl2399]) ).
thf(zip_derived_cl344_3035,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3036,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_3037,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3038,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_3039,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10065,plain,
( ( sk__2
= ( sum @ n14 @ n17 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2419,zip_derived_cl344,zip_derived_cl68,zip_derived_cl343,zip_derived_cl67,zip_derived_cl196]) ).
thf(zip_derived_cl460_3040,plain,
( ( sum @ n14 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10226,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n10 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10065,zip_derived_cl460]) ).
thf(zip_derived_cl20_3041,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('418',plain,
( ( sk__1 != n4 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10226,zip_derived_cl20]) ).
thf(zip_derived_cl1091_3042,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_3043,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2418,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_cl1091,zip_derived_cl2399]) ).
thf(zip_derived_cl318_3044,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3045,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_3046,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3047,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_3048,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10064,plain,
( ( sk__2
= ( sum @ n13 @ n16 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2418,zip_derived_cl318,zip_derived_cl67,zip_derived_cl317,zip_derived_cl66,zip_derived_cl195]) ).
thf(zip_derived_cl433_3049,plain,
( ( sum @ n13 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10127,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n9 )
& ( sk__1 = n4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10064,zip_derived_cl433]) ).
thf(zip_derived_cl22_3050,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('419',plain,
( ( sk__1 != n4 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10127,zip_derived_cl22]) ).
thf(zip_derived_cl1085_3051,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2399_3052,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n5 ) ) @ ( sum @ n4 @ ( pred @ ( sum @ sk_ @ n4 ) ) ) ) )
<= ( sk__1 = n4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl1566]) ).
thf(zip_derived_cl2412,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_cl1085,zip_derived_cl2399]) ).
thf(zip_derived_cl162_3053,plain,
( ( sum @ n3 @ n5 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3054,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl161_3055,plain,
( ( sum @ n3 @ n4 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3056,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl189_3057,plain,
( ( sum @ n4 @ n6 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl271_3058,plain,
( ( sum @ n7 @ n10 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10052,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n3 )
& ( sk__1 = n4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2412,zip_derived_cl162,zip_derived_cl61,zip_derived_cl161,zip_derived_cl60,zip_derived_cl189,zip_derived_cl271]) ).
thf(zip_derived_cl8_3059,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('420',plain,
( ( sk__1 != n4 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10052,zip_derived_cl8]) ).
thf(zip_derived_cl1091_3060,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_3061,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6875,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_cl1091,zip_derived_cl6865]) ).
thf(zip_derived_cl337_3062,plain,
( ( sum @ n9 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3063,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336,plain,
( ( sum @ n9 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3064,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl682_3065,plain,
( ( sum @ n23 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl237_3066,plain,
( ( sum @ n6 @ n2 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14638,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n9 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6875,zip_derived_cl337,zip_derived_cl60,zip_derived_cl336,zip_derived_cl59,zip_derived_cl682,zip_derived_cl237]) ).
thf(zip_derived_cl17_3067,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('421',plain,
( ( sk_ != n9 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14638,zip_derived_cl17]) ).
thf(zip_derived_cl1091_3068,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_3069,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6820,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_cl1091,zip_derived_cl6810]) ).
thf(zip_derived_cl336_3070,plain,
( ( sum @ n9 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3071,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335,plain,
( ( sum @ n9 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3072,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl655_3073,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl209_3074,plain,
( ( sum @ n5 @ n0 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14524,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n9 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6820,zip_derived_cl336,zip_derived_cl59,zip_derived_cl335,zip_derived_cl58,zip_derived_cl655,zip_derived_cl209]) ).
thf(zip_derived_cl20_3075,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('422',plain,
( ( sk_ != n9 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14524,zip_derived_cl20]) ).
thf(zip_derived_cl1091_3076,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_3077,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6741,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_cl1091,zip_derived_cl6731]) ).
thf(zip_derived_cl335_3078,plain,
( ( sum @ n9 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3079,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_3080,plain,
( ( sum @ n9 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3081,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_3082,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl207_3083,plain,
( ( sum @ n4 @ n24 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14410,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n9 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6741,zip_derived_cl335,zip_derived_cl58,zip_derived_cl334,zip_derived_cl57,zip_derived_cl628,zip_derived_cl207]) ).
thf(zip_derived_cl23_3084,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('423',plain,
( ( sk_ != n9 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14410,zip_derived_cl23]) ).
thf(zip_derived_cl1091_3085,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_3086,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6626,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_cl1091,zip_derived_cl6616]) ).
thf(zip_derived_cl333_3087,plain,
( ( sum @ n9 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3088,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332,plain,
( ( sum @ n9 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3089,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_3090,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_3091,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14180,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n9 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6626,zip_derived_cl333,zip_derived_cl56,zip_derived_cl332,zip_derived_cl55,zip_derived_cl574,zip_derived_cl151]) ).
thf(zip_derived_cl3_3092,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('424',plain,
( ( sk_ != n9 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14180,zip_derived_cl3]) ).
thf(zip_derived_cl1091_3093,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_3094,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6571,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_cl1091,zip_derived_cl6561]) ).
thf(zip_derived_cl332_3095,plain,
( ( sum @ n9 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3096,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_3097,plain,
( ( sum @ n9 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3098,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547_3099,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_3100,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14066,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n9 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6571,zip_derived_cl332,zip_derived_cl55,zip_derived_cl331,zip_derived_cl54,zip_derived_cl547,zip_derived_cl123]) ).
thf(zip_derived_cl6_3101,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('425',plain,
( ( sk__1 != n18 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14066,zip_derived_cl6]) ).
thf(zip_derived_cl1091_3102,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_3103,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6511,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_cl1091,zip_derived_cl6501]) ).
thf(zip_derived_cl331_3104,plain,
( ( sum @ n9 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3105,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_3106,plain,
( ( sum @ n9 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3107,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl546_3108,plain,
( ( sum @ n17 @ n25 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl95_3109,plain,
( ( sum @ n0 @ n16 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13952,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n9 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6511,zip_derived_cl331,zip_derived_cl54,zip_derived_cl330,zip_derived_cl53,zip_derived_cl546,zip_derived_cl95]) ).
thf(zip_derived_cl9_3110,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('426',plain,
( ( sk_ != n9 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13952,zip_derived_cl9]) ).
thf(zip_derived_cl1091_3111,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_3112,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6449,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_cl1091,zip_derived_cl6439]) ).
thf(zip_derived_cl330_3113,plain,
( ( sum @ n9 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3114,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl329_3115,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3116,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl519_3117,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl743_3118,plain,
( ( sum @ n25 @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13838,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n9 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6449,zip_derived_cl330,zip_derived_cl53,zip_derived_cl329,zip_derived_cl78,zip_derived_cl519,zip_derived_cl743]) ).
thf(zip_derived_cl12_3119,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('427',plain,
( ( sk_ != n9 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13838,zip_derived_cl12]) ).
thf(zip_derived_cl1091_3120,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3121,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6394,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_cl1091,zip_derived_cl6384]) ).
thf(zip_derived_cl329_3122,plain,
( ( sum @ n9 @ n16 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3123,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl328_3124,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3125,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_3126,plain,
( ( sum @ n15 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715_3127,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13724,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n9 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6394,zip_derived_cl329,zip_derived_cl78,zip_derived_cl328,zip_derived_cl77,zip_derived_cl492,zip_derived_cl715]) ).
thf(zip_derived_cl15_3128,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('428',plain,
( ( sk_ != n9 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13724,zip_derived_cl15]) ).
thf(zip_derived_cl1091_3129,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_3130,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6339,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_cl1091,zip_derived_cl6329]) ).
thf(zip_derived_cl328_3131,plain,
( ( sum @ n9 @ n15 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3132,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl327_3133,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3134,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_3135,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl687_3136,plain,
( ( sum @ n23 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13608,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n9 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6339,zip_derived_cl328,zip_derived_cl77,zip_derived_cl327,zip_derived_cl76,zip_derived_cl465,zip_derived_cl687]) ).
thf(zip_derived_cl18_3137,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('429',plain,
( ( sk_ != n9 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13608,zip_derived_cl18]) ).
thf(zip_derived_cl1091_3138,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_3139,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6279,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_cl1091,zip_derived_cl6269]) ).
thf(zip_derived_cl327_3140,plain,
( ( sum @ n9 @ n14 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3141,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl326_3142,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3143,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_3144,plain,
( ( sum @ n13 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659_3145,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13494,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n9 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6279,zip_derived_cl327,zip_derived_cl76,zip_derived_cl326,zip_derived_cl75,zip_derived_cl438,zip_derived_cl659]) ).
thf(zip_derived_cl21_3146,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('430',plain,
( ( sk_ != n9 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13494,zip_derived_cl21]) ).
thf(zip_derived_cl1091_3147,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_3148,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5186,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_cl1091,zip_derived_cl5176]) ).
thf(zip_derived_cl326_3149,plain,
( ( sum @ n9 @ n13 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3150,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl325_3151,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3152,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_3153,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631_3154,plain,
( ( sum @ n21 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12654,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n9 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5186,zip_derived_cl326,zip_derived_cl75,zip_derived_cl325,zip_derived_cl74,zip_derived_cl411,zip_derived_cl631]) ).
thf(zip_derived_cl24_3155,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('431',plain,
( ( sk_ != n9 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12654,zip_derived_cl24]) ).
thf(zip_derived_cl1091_3156,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_3157,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4778,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_cl1091,zip_derived_cl4768]) ).
thf(zip_derived_cl325_3158,plain,
( ( sum @ n9 @ n12 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3159,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3160,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3161,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_3162,plain,
( ( sum @ n11 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl603_3163,plain,
( ( sum @ n20 @ n4 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12302,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n9 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4778,zip_derived_cl325,zip_derived_cl74,zip_derived_cl324,zip_derived_cl73,zip_derived_cl384,zip_derived_cl603]) ).
thf(zip_derived_cl1_3164,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('432',plain,
( ( sk__1 != n11 )
| ( sk_ != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12302,zip_derived_cl1]) ).
thf(zip_derived_cl1091_3165,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3166,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4375,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_cl1091,zip_derived_cl4365]) ).
thf(zip_derived_cl324_3167,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3168,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl323_3169,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3170,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_3171,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11873,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n9 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4375,zip_derived_cl324,zip_derived_cl73,zip_derived_cl323,zip_derived_cl72,zip_derived_cl357,zip_derived_cl575]) ).
thf(zip_derived_cl4_3172,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('433',plain,
( ( sk_ != n9 )
| ( sk__1 != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11873,zip_derived_cl4]) ).
thf(zip_derived_cl1091_3173,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3174,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3998,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_cl1091,zip_derived_cl3988]) ).
thf(zip_derived_cl323_3175,plain,
( ( sum @ n9 @ n10 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3176,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl322_3177,plain,
( ( sum @ n9 @ n9 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3178,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl330_3179,plain,
( ( sum @ n9 @ n17 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl547_3180,plain,
( ( sum @ n18 @ n0 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11314,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n9 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3998,zip_derived_cl323,zip_derived_cl72,zip_derived_cl322,zip_derived_cl71,zip_derived_cl330,zip_derived_cl547]) ).
thf(zip_derived_cl7_3181,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('434',plain,
( ( sk_ != n9 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11314,zip_derived_cl7]) ).
thf(zip_derived_cl1091_3182,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3183,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2075,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_cl1091,zip_derived_cl2064]) ).
thf(zip_derived_cl316_3184,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3185,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_3186,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3187,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_3188,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9947,plain,
( ( sk__2
= ( sum @ n11 @ n12 ) )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2075,zip_derived_cl316,zip_derived_cl65,zip_derived_cl315,zip_derived_cl64,zip_derived_cl141]) ).
thf(zip_derived_cl377_3189,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9952,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n9 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9947,zip_derived_cl377]) ).
thf(zip_derived_cl2_3190,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('435',plain,
( ( sk_ != n9 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9952,zip_derived_cl2]) ).
thf(zip_derived_cl1091_3191,plain,
( ( sk_ = n9 )
<= ( sk_ = n9 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_3192,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2019,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_cl1091,zip_derived_cl2009]) ).
thf(zip_derived_cl315_3193,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3194,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_3195,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3196,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_3197,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349_3198,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9892,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n9 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2019,zip_derived_cl315,zip_derived_cl64,zip_derived_cl314,zip_derived_cl63,zip_derived_cl114,zip_derived_cl349]) ).
thf(zip_derived_cl5_3199,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('436',plain,
( ( sk_ != n9 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9892,zip_derived_cl5]) ).
thf(zip_derived_cl1097_3200,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3201,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4381,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_cl1097,zip_derived_cl4365]) ).
thf(zip_derived_cl480_3202,plain,
( ( sum @ n15 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3203,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3204,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_3205,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11885,plain,
( ( sk__2
= ( sum @ n25 @ n8 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4381,zip_derived_cl480,zip_derived_cl53,zip_derived_cl479,zip_derived_cl78,zip_derived_cl363]) ).
thf(zip_derived_cl737_3206,plain,
( ( sum @ n25 @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12026,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n15 )
& ( sk__1 = n10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11885,zip_derived_cl737]) ).
thf(zip_derived_cl18_3207,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('437',plain,
( ( sk__1 != n10 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12026,zip_derived_cl18]) ).
thf(zip_derived_cl1106_3208,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3209,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4390,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_cl1106,zip_derived_cl4365]) ).
thf(zip_derived_cl714_3210,plain,
( ( sum @ n24 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_3211,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713_3212,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3213,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl346_3214,plain,
( ( sum @ n10 @ n7 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl304_3215,plain,
( ( sum @ n8 @ n17 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11904,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n24 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4390,zip_derived_cl714,zip_derived_cl62,zip_derived_cl713,zip_derived_cl61,zip_derived_cl346,zip_derived_cl304]) ).
thf(zip_derived_cl0_3216,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('438',plain,
( ( sk__1 != n10 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11904,zip_derived_cl0]) ).
thf(zip_derived_cl1104_3217,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3218,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4388,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_cl1104,zip_derived_cl4365]) ).
thf(zip_derived_cl662_3219,plain,
( ( sum @ n22 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3220,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661_3221,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3222,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_3223,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl250_3224,plain,
( ( sum @ n6 @ n15 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11900,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n22 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4388,zip_derived_cl662,zip_derived_cl60,zip_derived_cl661,zip_derived_cl59,zip_derived_cl344,zip_derived_cl250]) ).
thf(zip_derived_cl4_3225,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('439',plain,
( ( sk__1 != n10 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11900,zip_derived_cl4]) ).
thf(zip_derived_cl1103_3226,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3227,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4387,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_cl1103,zip_derived_cl4365]) ).
thf(zip_derived_cl636_3228,plain,
( ( sum @ n21 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3229,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635_3230,plain,
( ( sum @ n21 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3231,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_3232,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl223_3233,plain,
( ( sum @ n5 @ n14 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11898,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n21 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4387,zip_derived_cl636,zip_derived_cl59,zip_derived_cl635,zip_derived_cl58,zip_derived_cl343,zip_derived_cl223]) ).
thf(zip_derived_cl6_3234,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('440',plain,
( ( sk__1 != n10 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11898,zip_derived_cl6]) ).
thf(zip_derived_cl1102_3235,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3236,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4386,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_cl1102,zip_derived_cl4365]) ).
thf(zip_derived_cl610_3237,plain,
( ( sum @ n20 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3238,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl609_3239,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3240,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl342_3241,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl196_3242,plain,
( ( sum @ n4 @ n13 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11896,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n20 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4386,zip_derived_cl610,zip_derived_cl58,zip_derived_cl609,zip_derived_cl57,zip_derived_cl342,zip_derived_cl196]) ).
thf(zip_derived_cl8_3243,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('441',plain,
( ( sk__1 != n10 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11896,zip_derived_cl8]) ).
thf(zip_derived_cl1101_3244,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3245,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4385,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_cl1101,zip_derived_cl4365]) ).
thf(zip_derived_cl584_3246,plain,
( ( sum @ n19 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3247,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583_3248,plain,
( ( sum @ n19 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3249,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_3250,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11894,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n19 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4385,zip_derived_cl584,zip_derived_cl57,zip_derived_cl583,zip_derived_cl56,zip_derived_cl341,zip_derived_cl169]) ).
thf(zip_derived_cl10_3251,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('442',plain,
( ( sk__1 != n10 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11894,zip_derived_cl10]) ).
thf(zip_derived_cl1100_3252,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3253,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4384,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_cl1100,zip_derived_cl4365]) ).
thf(zip_derived_cl558_3254,plain,
( ( sum @ n18 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3255,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557_3256,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3257,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_3258,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_3259,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11892,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n18 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4384,zip_derived_cl558,zip_derived_cl56,zip_derived_cl557,zip_derived_cl55,zip_derived_cl340,zip_derived_cl142]) ).
thf(zip_derived_cl12_3260,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('443',plain,
( ( sk__1 != n10 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11892,zip_derived_cl12]) ).
thf(zip_derived_cl1099_3261,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3262,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4383,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_cl1099,zip_derived_cl4365]) ).
thf(zip_derived_cl532,plain,
( ( sum @ n17 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3263,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531_3264,plain,
( ( sum @ n17 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3265,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339_3266,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_3267,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11890,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n17 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4383,zip_derived_cl532,zip_derived_cl55,zip_derived_cl531,zip_derived_cl54,zip_derived_cl339,zip_derived_cl115]) ).
thf(zip_derived_cl14_3268,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('444',plain,
( ( sk__1 != n10 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11890,zip_derived_cl14]) ).
thf(zip_derived_cl1098_3269,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3270,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4382,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_cl1098,zip_derived_cl4365]) ).
thf(zip_derived_cl506,plain,
( ( sum @ n16 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3271,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3272,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_3273,plain,
( ( sum @ n10 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl88_3274,plain,
( ( sum @ n0 @ n9 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11888,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n16 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4382,zip_derived_cl506,zip_derived_cl54,zip_derived_cl505,zip_derived_cl53,zip_derived_cl364,zip_derived_cl88]) ).
thf(zip_derived_cl16_3275,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('445',plain,
( ( sk__1 != n10 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11888,zip_derived_cl16]) ).
thf(zip_derived_cl1096_3276,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3277,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4380,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_cl1096,zip_derived_cl4365]) ).
thf(zip_derived_cl454_3278,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3279,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_3280,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3281,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362,plain,
( ( sum @ n10 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl710_3282,plain,
( ( sum @ n24 @ n7 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11883,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n14 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4380,zip_derived_cl454,zip_derived_cl78,zip_derived_cl453,zip_derived_cl77,zip_derived_cl362,zip_derived_cl710]) ).
thf(zip_derived_cl20_3283,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('446',plain,
( ( sk__1 != n10 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11883,zip_derived_cl20]) ).
thf(zip_derived_cl1095_3284,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3285,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4379,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_cl1095,zip_derived_cl4365]) ).
thf(zip_derived_cl428_3286,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3287,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_3288,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3289,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_3290,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl683_3291,plain,
( ( sum @ n23 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11881,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n13 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4379,zip_derived_cl428,zip_derived_cl77,zip_derived_cl427,zip_derived_cl76,zip_derived_cl361,zip_derived_cl683]) ).
thf(zip_derived_cl22_3292,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('447',plain,
( ( sk__1 != n10 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11881,zip_derived_cl22]) ).
thf(zip_derived_cl1094_3293,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3294,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4378,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_cl1094,zip_derived_cl4365]) ).
thf(zip_derived_cl402_3295,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3296,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl401_3297,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3298,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_3299,plain,
( ( sum @ n10 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656_3300,plain,
( ( sum @ n22 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11879,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n12 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4378,zip_derived_cl402,zip_derived_cl76,zip_derived_cl401,zip_derived_cl75,zip_derived_cl360,zip_derived_cl656]) ).
thf(zip_derived_cl24_3301,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('448',plain,
( ( sk__1 != n10 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11879,zip_derived_cl24]) ).
thf(zip_derived_cl1093_3302,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3303,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4377,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_cl1093,zip_derived_cl4365]) ).
thf(zip_derived_cl376_3304,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3305,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl375_3306,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3307,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl359_3308,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629_3309,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11877,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n11 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4377,zip_derived_cl376,zip_derived_cl75,zip_derived_cl375,zip_derived_cl74,zip_derived_cl359,zip_derived_cl629]) ).
thf(zip_derived_cl0_3310,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('449',plain,
( ( sk__1 != n10 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11877,zip_derived_cl0]) ).
thf(zip_derived_cl1092_3311,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3312,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4376,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_cl1092,zip_derived_cl4365]) ).
thf(zip_derived_cl350_3313,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3314,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl349_3315,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3316,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_3317,plain,
( ( sum @ n10 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl602_3318,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11875,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n10 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4376,zip_derived_cl350,zip_derived_cl74,zip_derived_cl349,zip_derived_cl73,zip_derived_cl358,zip_derived_cl602]) ).
thf(zip_derived_cl2_3319,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('450',plain,
( ( sk__1 != n10 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11875,zip_derived_cl2]) ).
thf(zip_derived_cl1085_3320,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4365_3321,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n11 ) ) @ ( sum @ n10 @ ( pred @ ( sum @ sk_ @ n10 ) ) ) ) )
<= ( sk__1 = n10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl1572]) ).
thf(zip_derived_cl4369,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_cl1085,zip_derived_cl4365]) ).
thf(zip_derived_cl168_3322,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3323,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl167_3324,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3325,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_3326,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439,plain,
( ( sum @ n13 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11861,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n3 )
& ( sk__1 = n10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4369,zip_derived_cl168,zip_derived_cl67,zip_derived_cl167,zip_derived_cl66,zip_derived_cl351,zip_derived_cl439]) ).
thf(zip_derived_cl16_3327,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('451',plain,
( ( sk__1 != n10 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11861,zip_derived_cl16]) ).
thf(zip_derived_cl1092_3328,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_3329,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6876,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_cl1092,zip_derived_cl6865]) ).
thf(zip_derived_cl363_3330,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3331,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_3332,plain,
( ( sum @ n10 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3333,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl683_3334,plain,
( ( sum @ n23 @ n6 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl264_3335,plain,
( ( sum @ n7 @ n3 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14640,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n10 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6876,zip_derived_cl363,zip_derived_cl61,zip_derived_cl362,zip_derived_cl60,zip_derived_cl683,zip_derived_cl264]) ).
thf(zip_derived_cl15_3336,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('452',plain,
( ( sk_ != n10 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14640,zip_derived_cl15]) ).
thf(zip_derived_cl1092_3337,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_3338,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6821,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_cl1092,zip_derived_cl6810]) ).
thf(zip_derived_cl362_3339,plain,
( ( sum @ n10 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3340,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl361_3341,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3342,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl656_3343,plain,
( ( sum @ n22 @ n5 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl236_3344,plain,
( ( sum @ n6 @ n1 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14526,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n10 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6821,zip_derived_cl362,zip_derived_cl60,zip_derived_cl361,zip_derived_cl59,zip_derived_cl656,zip_derived_cl236]) ).
thf(zip_derived_cl18_3345,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('453',plain,
( ( sk_ != n10 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14526,zip_derived_cl18]) ).
thf(zip_derived_cl1092_3346,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_3347,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6742,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_cl1092,zip_derived_cl6731]) ).
thf(zip_derived_cl361_3348,plain,
( ( sum @ n10 @ n22 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3349,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_3350,plain,
( ( sum @ n10 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3351,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl629_3352,plain,
( ( sum @ n21 @ n4 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl234_3353,plain,
( ( sum @ n5 @ n25 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14412,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n10 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6742,zip_derived_cl361,zip_derived_cl59,zip_derived_cl360,zip_derived_cl58,zip_derived_cl629,zip_derived_cl234]) ).
thf(zip_derived_cl21_3354,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('454',plain,
( ( sk_ != n10 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14412,zip_derived_cl21]) ).
thf(zip_derived_cl1092_3355,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_3356,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6627,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_cl1092,zip_derived_cl6616]) ).
thf(zip_derived_cl359_3357,plain,
( ( sum @ n10 @ n20 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3358,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl358_3359,plain,
( ( sum @ n10 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3360,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575_3361,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_3362,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14184,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n10 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6627,zip_derived_cl359,zip_derived_cl57,zip_derived_cl358,zip_derived_cl56,zip_derived_cl575,zip_derived_cl178]) ).
thf(zip_derived_cl1_3363,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('455',plain,
( ( sk_ != n10 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14184,zip_derived_cl1]) ).
thf(zip_derived_cl1092_3364,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_3365,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6572,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_cl1092,zip_derived_cl6561]) ).
thf(zip_derived_cl358_3366,plain,
( ( sum @ n10 @ n19 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3367,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl357_3368,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3369,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548_3370,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_3371,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14068,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n10 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6572,zip_derived_cl358,zip_derived_cl56,zip_derived_cl357,zip_derived_cl55,zip_derived_cl548,zip_derived_cl150]) ).
thf(zip_derived_cl4_3372,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('456',plain,
( ( sk__1 != n18 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14068,zip_derived_cl4]) ).
thf(zip_derived_cl1092_3373,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_3374,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6512,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_cl1092,zip_derived_cl6501]) ).
thf(zip_derived_cl357_3375,plain,
( ( sum @ n10 @ n18 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3376,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl356_3377,plain,
( ( sum @ n10 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3378,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl521_3379,plain,
( ( sum @ n17 @ n0 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_3380,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13954,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n10 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6512,zip_derived_cl357,zip_derived_cl55,zip_derived_cl356,zip_derived_cl54,zip_derived_cl521,zip_derived_cl122]) ).
thf(zip_derived_cl7_3381,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('457',plain,
( ( sk_ != n10 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13954,zip_derived_cl7]) ).
thf(zip_derived_cl1092_3382,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_3383,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6450,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_cl1092,zip_derived_cl6439]) ).
thf(zip_derived_cl356_3384,plain,
( ( sum @ n10 @ n17 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3385,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl355_3386,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3387,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl520_3388,plain,
( ( sum @ n16 @ n25 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl94_3389,plain,
( ( sum @ n0 @ n15 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13840,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n10 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6450,zip_derived_cl356,zip_derived_cl54,zip_derived_cl355,zip_derived_cl53,zip_derived_cl520,zip_derived_cl94]) ).
thf(zip_derived_cl10_3390,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('458',plain,
( ( sk_ != n10 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13840,zip_derived_cl10]) ).
thf(zip_derived_cl1092_3391,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3392,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6395,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_cl1092,zip_derived_cl6384]) ).
thf(zip_derived_cl355_3393,plain,
( ( sum @ n10 @ n16 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3394,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl354_3395,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3396,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl493_3397,plain,
( ( sum @ n15 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl742_3398,plain,
( ( sum @ n25 @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13726,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n10 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6395,zip_derived_cl355,zip_derived_cl53,zip_derived_cl354,zip_derived_cl78,zip_derived_cl493,zip_derived_cl742]) ).
thf(zip_derived_cl13_3399,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('459',plain,
( ( sk_ != n10 )
| ( sk__1 != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13726,zip_derived_cl13]) ).
thf(zip_derived_cl1092_3400,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_3401,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6340,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_cl1092,zip_derived_cl6329]) ).
thf(zip_derived_cl354_3402,plain,
( ( sum @ n10 @ n15 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3403,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl353_3404,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3405,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_3406,plain,
( ( sum @ n14 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714_3407,plain,
( ( sum @ n24 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13612,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n10 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6340,zip_derived_cl354,zip_derived_cl78,zip_derived_cl353,zip_derived_cl77,zip_derived_cl466,zip_derived_cl714]) ).
thf(zip_derived_cl16_3408,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('460',plain,
( ( sk_ != n10 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13612,zip_derived_cl16]) ).
thf(zip_derived_cl1092_3409,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_3410,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6280,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_cl1092,zip_derived_cl6269]) ).
thf(zip_derived_cl353_3411,plain,
( ( sum @ n10 @ n14 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3412,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl352_3413,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3414,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_3415,plain,
( ( sum @ n13 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl686_3416,plain,
( ( sum @ n23 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13496,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n10 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6280,zip_derived_cl353,zip_derived_cl77,zip_derived_cl352,zip_derived_cl76,zip_derived_cl439,zip_derived_cl686]) ).
thf(zip_derived_cl19_3417,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('461',plain,
( ( sk_ != n10 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13496,zip_derived_cl19]) ).
thf(zip_derived_cl1092_3418,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_3419,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5187,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_cl1092,zip_derived_cl5176]) ).
thf(zip_derived_cl352_3420,plain,
( ( sum @ n10 @ n13 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3421,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl351_3422,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3423,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_3424,plain,
( ( sum @ n12 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658_3425,plain,
( ( sum @ n22 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12656,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n10 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5187,zip_derived_cl352,zip_derived_cl76,zip_derived_cl351,zip_derived_cl75,zip_derived_cl412,zip_derived_cl658]) ).
thf(zip_derived_cl22_3426,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('462',plain,
( ( sk_ != n10 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12656,zip_derived_cl22]) ).
thf(zip_derived_cl1092_3427,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_3428,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4779,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_cl1092,zip_derived_cl4768]) ).
thf(zip_derived_cl351_3429,plain,
( ( sum @ n10 @ n12 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3430,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl350_3431,plain,
( ( sum @ n10 @ n11 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3432,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl385_3433,plain,
( ( sum @ n11 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630_3434,plain,
( ( sum @ n21 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12304,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n10 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4779,zip_derived_cl351,zip_derived_cl75,zip_derived_cl350,zip_derived_cl74,zip_derived_cl385,zip_derived_cl630]) ).
thf(zip_derived_cl25_3435,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('463',plain,
( ( sk__1 != n11 )
| ( sk_ != n10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12304,zip_derived_cl25]) ).
thf(zip_derived_cl1092_3436,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3437,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3999,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_cl1092,zip_derived_cl3988]) ).
thf(zip_derived_cl349_3438,plain,
( ( sum @ n10 @ n10 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3439,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl348_3440,plain,
( ( sum @ n10 @ n9 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3441,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl331_3442,plain,
( ( sum @ n9 @ n18 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_3443,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11316,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n10 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3999,zip_derived_cl349,zip_derived_cl73,zip_derived_cl348,zip_derived_cl72,zip_derived_cl331,zip_derived_cl574]) ).
thf(zip_derived_cl5_3444,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('464',plain,
( ( sk_ != n10 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11316,zip_derived_cl5]) ).
thf(zip_derived_cl1092_3445,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3446,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2076,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_cl1092,zip_derived_cl2064]) ).
thf(zip_derived_cl342_3447,plain,
( ( sum @ n10 @ n3 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3448,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_3449,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3450,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl142_3451,plain,
( ( sum @ n2 @ n11 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9948,plain,
( ( sk__2
= ( sum @ n12 @ n13 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2076,zip_derived_cl342,zip_derived_cl66,zip_derived_cl341,zip_derived_cl65,zip_derived_cl142]) ).
thf(zip_derived_cl404_3452,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10027,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n10 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9948,zip_derived_cl404]) ).
thf(zip_derived_cl0_3453,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('465',plain,
( ( sk_ != n10 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10027,zip_derived_cl0]) ).
thf(zip_derived_cl1092_3454,plain,
( ( sk_ = n10 )
<= ( sk_ = n10 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_3455,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2020,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_cl1092,zip_derived_cl2009]) ).
thf(zip_derived_cl341_3456,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3457,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_3458,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3459,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl115_3460,plain,
( ( sum @ n1 @ n10 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9894,plain,
( ( sk__2
= ( sum @ n11 @ n11 ) )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2020,zip_derived_cl341,zip_derived_cl65,zip_derived_cl340,zip_derived_cl64,zip_derived_cl115]) ).
thf(zip_derived_cl376_3461,plain,
( ( sum @ n11 @ n11 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9950,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n10 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9894,zip_derived_cl376]) ).
thf(zip_derived_cl3_3462,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('466',plain,
( ( sk_ != n10 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9950,zip_derived_cl3]) ).
thf(zip_derived_cl1106_3463,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3464,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6409,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_cl1106,zip_derived_cl6384]) ).
thf(zip_derived_cl719_3465,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3466,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl718_3467,plain,
( ( sum @ n24 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3468,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481_3469,plain,
( ( sum @ n15 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_3470,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13756,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n24 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6409,zip_derived_cl719,zip_derived_cl67,zip_derived_cl718,zip_derived_cl66,zip_derived_cl481,zip_derived_cl418]) ).
thf(zip_derived_cl11_3471,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('467',plain,
( ( sk__1 != n15 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13756,zip_derived_cl11]) ).
thf(zip_derived_cl1104_3472,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3473,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6407,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_cl1104,zip_derived_cl6384]) ).
thf(zip_derived_cl667_3474,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3475,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666_3476,plain,
( ( sum @ n22 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3477,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479_3478,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_3479,plain,
( ( sum @ n11 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13752,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n22 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6407,zip_derived_cl667,zip_derived_cl65,zip_derived_cl666,zip_derived_cl64,zip_derived_cl479,zip_derived_cl390]) ).
thf(zip_derived_cl15_3480,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('468',plain,
( ( sk__1 != n15 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13752,zip_derived_cl15]) ).
thf(zip_derived_cl1103_3481,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3482,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6406,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_cl1103,zip_derived_cl6384]) ).
thf(zip_derived_cl641_3483,plain,
( ( sum @ n21 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3484,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_3485,plain,
( ( sum @ n21 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3486,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_3487,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl363_3488,plain,
( ( sum @ n10 @ n24 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13750,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n21 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6406,zip_derived_cl641,zip_derived_cl64,zip_derived_cl640,zip_derived_cl63,zip_derived_cl478,zip_derived_cl363]) ).
thf(zip_derived_cl17_3489,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('469',plain,
( ( sk__1 != n15 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13750,zip_derived_cl17]) ).
thf(zip_derived_cl1102_3490,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3491,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6405,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_cl1102,zip_derived_cl6384]) ).
thf(zip_derived_cl615_3492,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3493,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614_3494,plain,
( ( sum @ n20 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_3495,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl477_3496,plain,
( ( sum @ n15 @ n8 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_3497,plain,
( ( sum @ n9 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13748,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n20 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6405,zip_derived_cl615,zip_derived_cl63,zip_derived_cl614,zip_derived_cl62,zip_derived_cl477,zip_derived_cl336]) ).
thf(zip_derived_cl19_3498,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('470',plain,
( ( sk__1 != n15 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13748,zip_derived_cl19]) ).
thf(zip_derived_cl1101_3499,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3500,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6404,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_cl1101,zip_derived_cl6384]) ).
thf(zip_derived_cl589_3501,plain,
( ( sum @ n19 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_3502,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588_3503,plain,
( ( sum @ n19 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3504,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_3505,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl309_3506,plain,
( ( sum @ n8 @ n22 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13746,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n19 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6404,zip_derived_cl589,zip_derived_cl62,zip_derived_cl588,zip_derived_cl61,zip_derived_cl476,zip_derived_cl309]) ).
thf(zip_derived_cl21_3507,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('471',plain,
( ( sk__1 != n15 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13746,zip_derived_cl21]) ).
thf(zip_derived_cl1100_3508,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3509,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6403,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_cl1100,zip_derived_cl6384]) ).
thf(zip_derived_cl563_3510,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3511,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562_3512,plain,
( ( sum @ n18 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3513,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl475_3514,plain,
( ( sum @ n15 @ n6 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl282_3515,plain,
( ( sum @ n7 @ n21 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13744,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n18 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6403,zip_derived_cl563,zip_derived_cl61,zip_derived_cl562,zip_derived_cl60,zip_derived_cl475,zip_derived_cl282]) ).
thf(zip_derived_cl23_3516,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('472',plain,
( ( sk__1 != n15 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13744,zip_derived_cl23]) ).
thf(zip_derived_cl1099_3517,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3518,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6402,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_cl1099,zip_derived_cl6384]) ).
thf(zip_derived_cl537_3519,plain,
( ( sum @ n17 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3520,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl536_3521,plain,
( ( sum @ n17 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3522,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_3523,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl255_3524,plain,
( ( sum @ n6 @ n20 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13740,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n17 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6402,zip_derived_cl537,zip_derived_cl60,zip_derived_cl536,zip_derived_cl59,zip_derived_cl474,zip_derived_cl255]) ).
thf(zip_derived_cl25_3525,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('473',plain,
( ( sk__1 != n15 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13740,zip_derived_cl25]) ).
thf(zip_derived_cl1098_3526,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3527,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6401,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_cl1098,zip_derived_cl6384]) ).
thf(zip_derived_cl511_3528,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3529,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl510_3530,plain,
( ( sum @ n16 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3531,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl473_3532,plain,
( ( sum @ n15 @ n4 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl228_3533,plain,
( ( sum @ n5 @ n19 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13738,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n16 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6401,zip_derived_cl511,zip_derived_cl59,zip_derived_cl510,zip_derived_cl58,zip_derived_cl473,zip_derived_cl228]) ).
thf(zip_derived_cl1_3534,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('474',plain,
( ( sk__1 != n15 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13738,zip_derived_cl1]) ).
thf(zip_derived_cl1097_3535,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3536,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6400,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_cl1097,zip_derived_cl6384]) ).
thf(zip_derived_cl485_3537,plain,
( ( sum @ n15 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3538,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl484_3539,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3540,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl472_3541,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl201_3542,plain,
( ( sum @ n4 @ n18 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13736,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n15 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6400,zip_derived_cl485,zip_derived_cl58,zip_derived_cl484,zip_derived_cl57,zip_derived_cl472,zip_derived_cl201]) ).
thf(zip_derived_cl3_3543,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('475',plain,
( ( sk__1 != n15 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13736,zip_derived_cl3]) ).
thf(zip_derived_cl1096_3544,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3545,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6399,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_cl1096,zip_derived_cl6384]) ).
thf(zip_derived_cl459_3546,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3547,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl458_3548,plain,
( ( sum @ n14 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3549,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_3550,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_3551,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13734,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n14 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6399,zip_derived_cl459,zip_derived_cl57,zip_derived_cl458,zip_derived_cl56,zip_derived_cl471,zip_derived_cl174]) ).
thf(zip_derived_cl5_3552,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('476',plain,
( ( sk__1 != n15 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13734,zip_derived_cl5]) ).
thf(zip_derived_cl1095_3553,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3554,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6398,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_cl1095,zip_derived_cl6384]) ).
thf(zip_derived_cl433_3555,plain,
( ( sum @ n13 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3556,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_3557,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3558,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_3559,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_3560,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13732,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n13 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6398,zip_derived_cl433,zip_derived_cl56,zip_derived_cl432,zip_derived_cl55,zip_derived_cl470,zip_derived_cl147]) ).
thf(zip_derived_cl7_3561,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('477',plain,
( ( sk__1 != n15 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13732,zip_derived_cl7]) ).
thf(zip_derived_cl1094_3562,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3563,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6397,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_cl1094,zip_derived_cl6384]) ).
thf(zip_derived_cl407_3564,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3565,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl406_3566,plain,
( ( sum @ n12 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3567,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469_3568,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_3569,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13730,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n12 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6397,zip_derived_cl407,zip_derived_cl55,zip_derived_cl406,zip_derived_cl54,zip_derived_cl469,zip_derived_cl120]) ).
thf(zip_derived_cl9_3570,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('478',plain,
( ( sk__1 != n15 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13730,zip_derived_cl9]) ).
thf(zip_derived_cl1093_3571,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3572,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6396,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_cl1093,zip_derived_cl6384]) ).
thf(zip_derived_cl381_3573,plain,
( ( sum @ n11 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3574,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl380_3575,plain,
( ( sum @ n11 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3576,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl494_3577,plain,
( ( sum @ n15 @ n25 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl93_3578,plain,
( ( sum @ n0 @ n14 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13728,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n11 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6396,zip_derived_cl381,zip_derived_cl54,zip_derived_cl380,zip_derived_cl53,zip_derived_cl494,zip_derived_cl93]) ).
thf(zip_derived_cl11_3579,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('479',plain,
( ( sk__1 != n15 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13728,zip_derived_cl11]) ).
thf(zip_derived_cl1085_3580,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6384_3581,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n16 ) ) @ ( sum @ n15 @ ( pred @ ( sum @ sk_ @ n15 ) ) ) ) )
<= ( sk__1 = n15 ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl42]) ).
thf(zip_derived_cl6388,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_cl1085,zip_derived_cl6384]) ).
thf(zip_derived_cl173_3582,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3583,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_3584,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3585,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_3586,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553_3587,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13710,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n3 )
& ( sk__1 = n15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6388,zip_derived_cl173,zip_derived_cl72,zip_derived_cl172,zip_derived_cl71,zip_derived_cl486,zip_derived_cl553]) ).
thf(zip_derived_cl1_3588,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('480',plain,
( ( sk__1 != n15 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13710,zip_derived_cl1]) ).
thf(zip_derived_cl1096_3589,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_3590,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6880,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_cl1096,zip_derived_cl6865]) ).
thf(zip_derived_cl467_3591,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3592,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl466_3593,plain,
( ( sum @ n14 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3594,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl687_3595,plain,
( ( sum @ n23 @ n10 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl372_3596,plain,
( ( sum @ n11 @ n7 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14650,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n14 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6880,zip_derived_cl467,zip_derived_cl65,zip_derived_cl466,zip_derived_cl64,zip_derived_cl687,zip_derived_cl372]) ).
thf(zip_derived_cl7_3597,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('481',plain,
( ( sk_ != n14 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14650,zip_derived_cl7]) ).
thf(zip_derived_cl1096_3598,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_3599,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6825,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_cl1096,zip_derived_cl6810]) ).
thf(zip_derived_cl466_3600,plain,
( ( sum @ n14 @ n23 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_3601,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl465_3602,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3603,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660_3604,plain,
( ( sum @ n22 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl344_3605,plain,
( ( sum @ n10 @ n5 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14536,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n14 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6825,zip_derived_cl466,zip_derived_cl64,zip_derived_cl465,zip_derived_cl63,zip_derived_cl660,zip_derived_cl344]) ).
thf(zip_derived_cl10_3606,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('482',plain,
( ( sk_ != n14 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14536,zip_derived_cl10]) ).
thf(zip_derived_cl1096_3607,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_3608,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6746,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_cl1096,zip_derived_cl6731]) ).
thf(zip_derived_cl465_3609,plain,
( ( sum @ n14 @ n22 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_3610,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl464_3611,plain,
( ( sum @ n14 @ n21 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_3612,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl633_3613,plain,
( ( sum @ n21 @ n8 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_3614,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14420,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n14 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6746,zip_derived_cl465,zip_derived_cl63,zip_derived_cl464,zip_derived_cl62,zip_derived_cl633,zip_derived_cl316]) ).
thf(zip_derived_cl13_3615,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('483',plain,
( ( sk_ != n14 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14420,zip_derived_cl13]) ).
thf(zip_derived_cl1096_3616,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_3617,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6631,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_cl1096,zip_derived_cl6616]) ).
thf(zip_derived_cl463_3618,plain,
( ( sum @ n14 @ n20 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_3619,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl462_3620,plain,
( ( sum @ n14 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3621,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl579_3622,plain,
( ( sum @ n19 @ n6 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl286_3623,plain,
( ( sum @ n7 @ n25 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14192,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n14 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6631,zip_derived_cl463,zip_derived_cl61,zip_derived_cl462,zip_derived_cl60,zip_derived_cl579,zip_derived_cl286]) ).
thf(zip_derived_cl19_3624,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('484',plain,
( ( sk_ != n14 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14192,zip_derived_cl19]) ).
thf(zip_derived_cl1096_3625,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_3626,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6576,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_cl1096,zip_derived_cl6561]) ).
thf(zip_derived_cl462_3627,plain,
( ( sum @ n14 @ n19 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3628,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl461_3629,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3630,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl552_3631,plain,
( ( sum @ n18 @ n5 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl258_3632,plain,
( ( sum @ n6 @ n23 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14078,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n14 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6576,zip_derived_cl462,zip_derived_cl60,zip_derived_cl461,zip_derived_cl59,zip_derived_cl552,zip_derived_cl258]) ).
thf(zip_derived_cl22_3633,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('485',plain,
( ( sk__1 != n18 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14078,zip_derived_cl22]) ).
thf(zip_derived_cl1096_3634,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_3635,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6516,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_cl1096,zip_derived_cl6501]) ).
thf(zip_derived_cl461_3636,plain,
( ( sum @ n14 @ n18 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3637,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl460_3638,plain,
( ( sum @ n14 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3639,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525_3640,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl230_3641,plain,
( ( sum @ n5 @ n21 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13964,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n14 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6516,zip_derived_cl461,zip_derived_cl59,zip_derived_cl460,zip_derived_cl58,zip_derived_cl525,zip_derived_cl230]) ).
thf(zip_derived_cl25_3642,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('486',plain,
( ( sk_ != n14 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13964,zip_derived_cl25]) ).
thf(zip_derived_cl1096_3643,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_3644,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6454,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_cl1096,zip_derived_cl6439]) ).
thf(zip_derived_cl460_3645,plain,
( ( sum @ n14 @ n17 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3646,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_3647,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3648,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl498_3649,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl202_3650,plain,
( ( sum @ n4 @ n19 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13848,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n14 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6454,zip_derived_cl460,zip_derived_cl58,zip_derived_cl459,zip_derived_cl57,zip_derived_cl498,zip_derived_cl202]) ).
thf(zip_derived_cl2_3651,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('487',plain,
( ( sk_ != n14 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13848,zip_derived_cl2]) ).
thf(zip_derived_cl1096_3652,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_3653,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6344,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_cl1096,zip_derived_cl6329]) ).
thf(zip_derived_cl458_3654,plain,
( ( sum @ n14 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3655,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl457_3656,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3657,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_3658,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_3659,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13620,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n14 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6344,zip_derived_cl458,zip_derived_cl56,zip_derived_cl457,zip_derived_cl55,zip_derived_cl444,zip_derived_cl146]) ).
thf(zip_derived_cl8_3660,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('488',plain,
( ( sk_ != n14 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13620,zip_derived_cl8]) ).
thf(zip_derived_cl1096_3661,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_3662,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6284,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_cl1096,zip_derived_cl6269]) ).
thf(zip_derived_cl457_3663,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3664,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl456_3665,plain,
( ( sum @ n14 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3666,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl417_3667,plain,
( ( sum @ n13 @ n0 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_3668,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13506,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n14 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6284,zip_derived_cl457,zip_derived_cl55,zip_derived_cl456,zip_derived_cl54,zip_derived_cl417,zip_derived_cl118]) ).
thf(zip_derived_cl11_3669,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('489',plain,
( ( sk_ != n14 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13506,zip_derived_cl11]) ).
thf(zip_derived_cl1096_3670,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_3671,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5191,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_cl1096,zip_derived_cl5176]) ).
thf(zip_derived_cl456_3672,plain,
( ( sum @ n14 @ n13 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3673,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl455_3674,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3675,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_3676,plain,
( ( sum @ n12 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl90_3677,plain,
( ( sum @ n0 @ n11 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12666,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n14 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5191,zip_derived_cl456,zip_derived_cl54,zip_derived_cl455,zip_derived_cl53,zip_derived_cl416,zip_derived_cl90]) ).
thf(zip_derived_cl14_3678,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('490',plain,
( ( sk_ != n14 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12666,zip_derived_cl14]) ).
thf(zip_derived_cl1096_3679,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_3680,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4783,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_cl1096,zip_derived_cl4768]) ).
thf(zip_derived_cl455_3681,plain,
( ( sum @ n14 @ n12 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3682,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_3683,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3684,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl389_3685,plain,
( ( sum @ n11 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl738_3686,plain,
( ( sum @ n25 @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12314,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n14 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4783,zip_derived_cl455,zip_derived_cl53,zip_derived_cl454,zip_derived_cl78,zip_derived_cl389,zip_derived_cl738]) ).
thf(zip_derived_cl17_3687,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('491',plain,
( ( sk__1 != n11 )
| ( sk_ != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12314,zip_derived_cl17]) ).
thf(zip_derived_cl1096_3688,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3689,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4003,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_cl1096,zip_derived_cl3988]) ).
thf(zip_derived_cl453_3690,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3691,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_3692,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3693,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_3694,plain,
( ( sum @ n9 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11327,plain,
( ( sk__2
= ( sum @ n23 @ n5 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4003,zip_derived_cl453,zip_derived_cl77,zip_derived_cl452,zip_derived_cl76,zip_derived_cl335]) ).
thf(zip_derived_cl682_3695,plain,
( ( sum @ n23 @ n5 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11587,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n14 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11327,zip_derived_cl682]) ).
thf(zip_derived_cl23_3696,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('492',plain,
( ( sk_ != n14 )
| ( sk__1 != n9 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11587,zip_derived_cl23]) ).
thf(zip_derived_cl446_3697,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_3698,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3699,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2080,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_cl1096,zip_derived_cl2064]) ).
thf(zip_derived_cl10165,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n2 @ ( pred @ ( sum @ n14 @ n2 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl446,zip_derived_cl2080]) ).
thf(zip_derived_cl70_3700,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_3701,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3702,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl146_3703,plain,
( ( sum @ n2 @ n15 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10167,plain,
( ( sk__2
= ( sum @ n16 @ n17 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10165,zip_derived_cl70,zip_derived_cl445,zip_derived_cl69,zip_derived_cl146]) ).
thf(zip_derived_cl512_3704,plain,
( ( sum @ n16 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10489,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n14 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10167,zip_derived_cl512]) ).
thf(zip_derived_cl18_3705,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('493',plain,
( ( sk_ != n14 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10489,zip_derived_cl18]) ).
thf(zip_derived_cl445_3706,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1096_3707,plain,
( ( sk_ = n14 )
<= ( sk_ = n14 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_3708,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2024,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_cl1096,zip_derived_cl2009]) ).
thf(zip_derived_cl10160,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n1 @ ( pred @ ( sum @ n14 @ n1 ) ) ) ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl445,zip_derived_cl2024]) ).
thf(zip_derived_cl69_3709,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl444_3710,plain,
( ( sum @ n14 @ n1 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3711,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_3712,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10162,plain,
( ( sk__2
= ( sum @ n15 @ n15 ) )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10160,zip_derived_cl69,zip_derived_cl444,zip_derived_cl68,zip_derived_cl119]) ).
thf(zip_derived_cl484_3713,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10313,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n14 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10162,zip_derived_cl484]) ).
thf(zip_derived_cl21_3714,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('494',plain,
( ( sk_ != n14 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10313,zip_derived_cl21]) ).
thf(zip_derived_cl1098_3715,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3716,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4005,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_cl1098,zip_derived_cl3988]) ).
thf(zip_derived_cl505_3717,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3718,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504_3719,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3720,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_3721,plain,
( ( sum @ n9 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11337,plain,
( ( sk__2
= ( sum @ n25 @ n7 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4005,zip_derived_cl505,zip_derived_cl53,zip_derived_cl504,zip_derived_cl78,zip_derived_cl337]) ).
thf(zip_derived_cl736_3722,plain,
( ( sum @ n25 @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12013,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n16 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11337,zip_derived_cl736]) ).
thf(zip_derived_cl19_3723,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('495',plain,
( ( sk__1 != n9 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12013,zip_derived_cl19]) ).
thf(zip_derived_cl713_3724,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3725,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3726,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4013,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_cl1106,zip_derived_cl3988]) ).
thf(zip_derived_cl11843,plain,
( ( sk__2
= ( sum @ ( pred @ n8 ) @ ( sum @ n9 @ ( pred @ ( sum @ n24 @ n9 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl713,zip_derived_cl4013]) ).
thf(zip_derived_cl61_3727,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl712_3728,plain,
( ( sum @ n24 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_3729,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl319_3730,plain,
( ( sum @ n9 @ n6 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl276_3731,plain,
( ( sum @ n7 @ n15 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11845,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n24 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11843,zip_derived_cl61,zip_derived_cl712,zip_derived_cl60,zip_derived_cl319,zip_derived_cl276]) ).
thf(zip_derived_cl3_3732,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('496',plain,
( ( sk__1 != n9 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11845,zip_derived_cl3]) ).
thf(zip_derived_cl1097_3733,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3734,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4004,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_cl1097,zip_derived_cl3988]) ).
thf(zip_derived_cl479_3735,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3736,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_3737,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3738,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl336_3739,plain,
( ( sum @ n9 @ n23 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11334,plain,
( ( sk__2
= ( sum @ n24 @ n6 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4004,zip_derived_cl479,zip_derived_cl78,zip_derived_cl478,zip_derived_cl77,zip_derived_cl336]) ).
thf(zip_derived_cl709_3740,plain,
( ( sum @ n24 @ n6 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11803,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n15 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11334,zip_derived_cl709]) ).
thf(zip_derived_cl21_3741,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('497',plain,
( ( sk__1 != n9 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11803,zip_derived_cl21]) ).
thf(zip_derived_cl661_3742,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_3743,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3744,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4011,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_cl1104,zip_derived_cl3988]) ).
thf(zip_derived_cl11433,plain,
( ( sk__2
= ( sum @ ( pred @ n6 ) @ ( sum @ n9 @ ( pred @ ( sum @ n22 @ n9 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl661,zip_derived_cl4011]) ).
thf(zip_derived_cl59_3745,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl660_3746,plain,
( ( sum @ n22 @ n9 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3747,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_3748,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl222_3749,plain,
( ( sum @ n5 @ n13 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11435,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n22 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11433,zip_derived_cl59,zip_derived_cl660,zip_derived_cl58,zip_derived_cl317,zip_derived_cl222]) ).
thf(zip_derived_cl7_3750,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('498',plain,
( ( sk__1 != n9 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11435,zip_derived_cl7]) ).
thf(zip_derived_cl1103_3751,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3752,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4010,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_cl1103,zip_derived_cl3988]) ).
thf(zip_derived_cl635_3753,plain,
( ( sum @ n21 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3754,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634_3755,plain,
( ( sum @ n21 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3756,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl316_3757,plain,
( ( sum @ n9 @ n3 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl195_3758,plain,
( ( sum @ n4 @ n12 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11388,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n21 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4010,zip_derived_cl635,zip_derived_cl58,zip_derived_cl634,zip_derived_cl57,zip_derived_cl316,zip_derived_cl195]) ).
thf(zip_derived_cl9_3759,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('499',plain,
( ( sk__1 != n9 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11388,zip_derived_cl9]) ).
thf(zip_derived_cl1095_3760,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3761,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4002,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_cl1095,zip_derived_cl3988]) ).
thf(zip_derived_cl427_3762,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3763,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_3764,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3765,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_3766,plain,
( ( sum @ n9 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11324,plain,
( ( sk__2
= ( sum @ n22 @ n4 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4002,zip_derived_cl427,zip_derived_cl76,zip_derived_cl426,zip_derived_cl75,zip_derived_cl334]) ).
thf(zip_derived_cl655_3767,plain,
( ( sum @ n22 @ n4 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11381,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n13 )
& ( sk__1 = n9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11324,zip_derived_cl655]) ).
thf(zip_derived_cl25_3768,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('500',plain,
( ( sk__1 != n9 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11381,zip_derived_cl25]) ).
thf(zip_derived_cl1102_3769,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_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_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4009,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_cl1102,zip_derived_cl3988]) ).
thf(zip_derived_cl609_3771,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3772,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl608_3773,plain,
( ( sum @ n20 @ n9 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3774,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl315_3775,plain,
( ( sum @ n9 @ n2 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_3776,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11369,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n20 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4009,zip_derived_cl609,zip_derived_cl57,zip_derived_cl608,zip_derived_cl56,zip_derived_cl315,zip_derived_cl168]) ).
thf(zip_derived_cl11_3777,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('501',plain,
( ( sk__1 != n9 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11369,zip_derived_cl11]) ).
thf(zip_derived_cl1101_3778,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3779,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4008,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_cl1101,zip_derived_cl3988]) ).
thf(zip_derived_cl583_3780,plain,
( ( sum @ n19 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_3781,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582_3782,plain,
( ( sum @ n19 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3783,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_3784,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl141_3785,plain,
( ( sum @ n2 @ n10 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11351,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n19 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4008,zip_derived_cl583,zip_derived_cl56,zip_derived_cl582,zip_derived_cl55,zip_derived_cl314,zip_derived_cl141]) ).
thf(zip_derived_cl13_3786,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('502',plain,
( ( sk__1 != n9 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11351,zip_derived_cl13]) ).
thf(zip_derived_cl1100_3787,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3788,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4007,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_cl1100,zip_derived_cl3988]) ).
thf(zip_derived_cl557_3789,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_3790,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556_3791,plain,
( ( sum @ n18 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3792,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_3793,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl114_3794,plain,
( ( sum @ n1 @ n9 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11349,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n18 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4007,zip_derived_cl557,zip_derived_cl55,zip_derived_cl556,zip_derived_cl54,zip_derived_cl313,zip_derived_cl114]) ).
thf(zip_derived_cl15_3795,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('503',plain,
( ( sk__1 != n9 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11349,zip_derived_cl15]) ).
thf(zip_derived_cl1099_3796,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3797,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4006,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_cl1099,zip_derived_cl3988]) ).
thf(zip_derived_cl531_3798,plain,
( ( sum @ n17 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3799,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_3800,plain,
( ( sum @ n17 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3801,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_3802,plain,
( ( sum @ n9 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl87_3803,plain,
( ( sum @ n0 @ n8 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11340,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n17 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4006,zip_derived_cl531,zip_derived_cl54,zip_derived_cl530,zip_derived_cl53,zip_derived_cl338,zip_derived_cl87]) ).
thf(zip_derived_cl17_3804,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('504',plain,
( ( sk__1 != n9 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11340,zip_derived_cl17]) ).
thf(zip_derived_cl1094_3805,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3806,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4001,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_cl1094,zip_derived_cl3988]) ).
thf(zip_derived_cl401_3807,plain,
( ( sum @ n12 @ n10 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3808,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_3809,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3810,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl333_3811,plain,
( ( sum @ n9 @ n20 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl628_3812,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11322,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n12 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4001,zip_derived_cl401,zip_derived_cl75,zip_derived_cl400,zip_derived_cl74,zip_derived_cl333,zip_derived_cl628]) ).
thf(zip_derived_cl1_3813,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('505',plain,
( ( sk__1 != n9 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11322,zip_derived_cl1]) ).
thf(zip_derived_cl1093_3814,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3815,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl4000,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_cl1093,zip_derived_cl3988]) ).
thf(zip_derived_cl375_3816,plain,
( ( sum @ n11 @ n10 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3817,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl374_3818,plain,
( ( sum @ n11 @ n9 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3819,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_3820,plain,
( ( sum @ n9 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601_3821,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11320,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n11 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4000,zip_derived_cl375,zip_derived_cl74,zip_derived_cl374,zip_derived_cl73,zip_derived_cl332,zip_derived_cl601]) ).
thf(zip_derived_cl3_3822,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('506',plain,
( ( sk__1 != n9 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11320,zip_derived_cl3]) ).
thf(zip_derived_cl1085_3823,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl3988_3824,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n10 ) ) @ ( sum @ n9 @ ( pred @ ( sum @ sk_ @ n9 ) ) ) ) )
<= ( sk__1 = n9 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl1571]) ).
thf(zip_derived_cl3992,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_cl1085,zip_derived_cl3988]) ).
thf(zip_derived_cl167_3825,plain,
( ( sum @ n3 @ n10 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_3826,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl166_3827,plain,
( ( sum @ n3 @ n9 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_3828,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl324_3829,plain,
( ( sum @ n9 @ n11 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl411_3830,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11298,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n3 )
& ( sk__1 = n9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3992,zip_derived_cl167,zip_derived_cl66,zip_derived_cl166,zip_derived_cl65,zip_derived_cl324,zip_derived_cl411]) ).
thf(zip_derived_cl19_3831,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('507',plain,
( ( sk__1 != n9 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11298,zip_derived_cl19]) ).
thf(zip_derived_cl1085_3832,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_3833,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6869,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_cl1085,zip_derived_cl6865]) ).
thf(zip_derived_cl181_3834,plain,
( ( sum @ n3 @ n24 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_3835,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl180_3836,plain,
( ( sum @ n3 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3837,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl702_3838,plain,
( ( sum @ n23 @ n25 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl101_3839,plain,
( ( sum @ n0 @ n22 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14626,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n3 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6869,zip_derived_cl181,zip_derived_cl54,zip_derived_cl180,zip_derived_cl53,zip_derived_cl702,zip_derived_cl101]) ).
thf(zip_derived_cl3_3840,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('508',plain,
( ( sk_ != n3 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14626,zip_derived_cl3]) ).
thf(zip_derived_cl1085_3841,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_3842,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6814,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_cl1085,zip_derived_cl6810]) ).
thf(zip_derived_cl180_3843,plain,
( ( sum @ n3 @ n23 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3844,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl179_3845,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3846,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl675_3847,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl749_3848,plain,
( ( sum @ n25 @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14510,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n3 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6814,zip_derived_cl180,zip_derived_cl53,zip_derived_cl179,zip_derived_cl78,zip_derived_cl675,zip_derived_cl749]) ).
thf(zip_derived_cl6_3849,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('509',plain,
( ( sk_ != n3 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14510,zip_derived_cl6]) ).
thf(zip_derived_cl1085_3850,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_3851,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6735,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_cl1085,zip_derived_cl6731]) ).
thf(zip_derived_cl179_3852,plain,
( ( sum @ n3 @ n22 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_3853,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl178_3854,plain,
( ( sum @ n3 @ n21 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3855,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_3856,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_3857,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14396,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n3 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6735,zip_derived_cl179,zip_derived_cl78,zip_derived_cl178,zip_derived_cl77,zip_derived_cl648,zip_derived_cl721]) ).
thf(zip_derived_cl9_3858,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('510',plain,
( ( sk_ != n3 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14396,zip_derived_cl9]) ).
thf(zip_derived_cl1085_3859,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_3860,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6620,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_cl1085,zip_derived_cl6616]) ).
thf(zip_derived_cl177_3861,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3862,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_3863,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3864,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_3865,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14168,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n3 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6620,zip_derived_cl177,zip_derived_cl76,zip_derived_cl176,zip_derived_cl75,zip_derived_cl594,zip_derived_cl665]) ).
thf(zip_derived_cl15_3866,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('511',plain,
( ( sk_ != n3 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14168,zip_derived_cl15]) ).
thf(zip_derived_cl1085_3867,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_3868,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6565,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_cl1085,zip_derived_cl6561]) ).
thf(zip_derived_cl176_3869,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3870,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_3871,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3872,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl567_3873,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl637,plain,
( ( sum @ n21 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14054,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n3 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6565,zip_derived_cl176,zip_derived_cl75,zip_derived_cl175,zip_derived_cl74,zip_derived_cl567,zip_derived_cl637]) ).
thf(zip_derived_cl18_3874,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('512',plain,
( ( sk__1 != n18 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14054,zip_derived_cl18]) ).
thf(zip_derived_cl1085_3875,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_3876,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6505,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_cl1085,zip_derived_cl6501]) ).
thf(zip_derived_cl175_3877,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3878,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl174_3879,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3880,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_3881,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl609_3882,plain,
( ( sum @ n20 @ n10 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13938,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n3 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6505,zip_derived_cl175,zip_derived_cl74,zip_derived_cl174,zip_derived_cl73,zip_derived_cl540,zip_derived_cl609]) ).
thf(zip_derived_cl21_3883,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('513',plain,
( ( sk_ != n3 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13938,zip_derived_cl21]) ).
thf(zip_derived_cl1085_3884,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_3885,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6443,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_cl1085,zip_derived_cl6439]) ).
thf(zip_derived_cl174_3886,plain,
( ( sum @ n3 @ n17 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3887,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_3888,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_3889,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_3890,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581_3891,plain,
( ( sum @ n19 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13824,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n3 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6443,zip_derived_cl174,zip_derived_cl73,zip_derived_cl173,zip_derived_cl72,zip_derived_cl513,zip_derived_cl581]) ).
thf(zip_derived_cl24_3892,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('514',plain,
( ( sk_ != n3 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13824,zip_derived_cl24]) ).
thf(zip_derived_cl1085_3893,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_3894,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6333,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_cl1085,zip_derived_cl6329]) ).
thf(zip_derived_cl172_3895,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_3896,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_3897,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3898,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl459_3899,plain,
( ( sum @ n14 @ n16 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl525_3900,plain,
( ( sum @ n17 @ n4 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13596,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n3 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6333,zip_derived_cl172,zip_derived_cl71,zip_derived_cl171,zip_derived_cl70,zip_derived_cl459,zip_derived_cl525]) ).
thf(zip_derived_cl4_3901,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('515',plain,
( ( sk_ != n3 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13596,zip_derived_cl4]) ).
thf(zip_derived_cl1085_3902,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_3903,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6273,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_cl1085,zip_derived_cl6269]) ).
thf(zip_derived_cl171_3904,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_3905,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_3906,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3907,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl432_3908,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13482,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n3 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6273,zip_derived_cl171,zip_derived_cl70,zip_derived_cl170,zip_derived_cl69,zip_derived_cl432,zip_derived_cl497]) ).
thf(zip_derived_cl7_3909,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('516',plain,
( ( sk_ != n3 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13482,zip_derived_cl7]) ).
thf(zip_derived_cl1085_3910,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_3911,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5180,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_cl1085,zip_derived_cl5176]) ).
thf(zip_derived_cl170_3912,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_3913,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl169_3914,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3915,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_3916,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl469_3917,plain,
( ( sum @ n15 @ n0 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12640,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n3 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5180,zip_derived_cl170,zip_derived_cl69,zip_derived_cl169,zip_derived_cl68,zip_derived_cl405,zip_derived_cl469]) ).
thf(zip_derived_cl10_3918,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('517',plain,
( ( sk_ != n3 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12640,zip_derived_cl10]) ).
thf(zip_derived_cl1085_3919,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_3920,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4772,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_cl1085,zip_derived_cl4768]) ).
thf(zip_derived_cl169_3921,plain,
( ( sum @ n3 @ n12 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_3922,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl168_3923,plain,
( ( sum @ n3 @ n11 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_3924,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_3925,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_3926,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12288,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n3 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4772,zip_derived_cl169,zip_derived_cl68,zip_derived_cl168,zip_derived_cl67,zip_derived_cl378,zip_derived_cl467]) ).
thf(zip_derived_cl13_3927,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('518',plain,
( ( sk__1 != n11 )
| ( sk_ != n3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12288,zip_derived_cl13]) ).
thf(zip_derived_cl1085_3928,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3929,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2069,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_cl1085,zip_derived_cl2064]) ).
thf(zip_derived_cl160_3930,plain,
( ( sum @ n3 @ n3 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_3931,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl159_3932,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3933,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl135_3934,plain,
( ( sum @ n2 @ n4 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl215_3935,plain,
( ( sum @ n5 @ n6 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9933,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n3 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2069,zip_derived_cl160,zip_derived_cl59,zip_derived_cl159,zip_derived_cl58,zip_derived_cl135,zip_derived_cl215]) ).
thf(zip_derived_cl14_3936,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('519',plain,
( ( sk_ != n3 )
| ( sk__1 != n2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9933,zip_derived_cl14]) ).
thf(zip_derived_cl1085_3937,plain,
( ( sk_ = n3 )
<= ( sk_ = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_3938,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2013,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_cl1085,zip_derived_cl2009]) ).
thf(zip_derived_cl159_3939,plain,
( ( sum @ n3 @ n2 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_3940,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl158_3941,plain,
( ( sum @ n3 @ n1 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_3942,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl108_3943,plain,
( ( sum @ n1 @ n3 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl187_3944,plain,
( ( sum @ n4 @ n4 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9880,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n3 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2013,zip_derived_cl159,zip_derived_cl58,zip_derived_cl158,zip_derived_cl57,zip_derived_cl108,zip_derived_cl187]) ).
thf(zip_derived_cl17_3945,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('520',plain,
( ( sk_ != n3 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9880,zip_derived_cl17]) ).
thf(zip_derived_cl654_3946,plain,
( ( sum @ n22 @ n3 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_3947,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3948,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2088,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_cl1104,zip_derived_cl2064]) ).
thf(zip_derived_cl11371,plain,
( ( sk__2
= ( sum @ ( pred @ n25 ) @ ( sum @ n2 @ ( pred @ ( sum @ n22 @ n2 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl2088]) ).
thf(zip_derived_cl78_3949,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl653_3950,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_3951,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl154_3952,plain,
( ( sum @ n2 @ n23 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11376,plain,
( ( sk__2
= ( sum @ n24 @ n25 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11371,zip_derived_cl78,zip_derived_cl653,zip_derived_cl77,zip_derived_cl154]) ).
thf(zip_derived_cl728_3953,plain,
( ( sum @ n24 @ n25 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11930,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n22 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11376,zip_derived_cl728]) ).
thf(zip_derived_cl2_3954,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('521',plain,
( ( sk__1 != n2 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11930,zip_derived_cl2]) ).
thf(zip_derived_cl706_3955,plain,
( ( sum @ n24 @ n3 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_3956,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3957,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2090,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_cl1106,zip_derived_cl2064]) ).
thf(zip_derived_cl11766,plain,
( ( sk__2
= ( sum @ ( pred @ n1 ) @ ( sum @ n2 @ ( pred @ ( sum @ n24 @ n2 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl706,zip_derived_cl2090]) ).
thf(zip_derived_cl54_3958,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl705_3959,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_3960,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl156_3961,plain,
( ( sum @ n2 @ n25 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl80_3962,plain,
( ( sum @ n0 @ n1 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11770,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n24 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11766,zip_derived_cl54,zip_derived_cl705,zip_derived_cl53,zip_derived_cl156,zip_derived_cl80]) ).
thf(zip_derived_cl24_3963,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('522',plain,
( ( sk__1 != n2 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11770,zip_derived_cl24]) ).
thf(zip_derived_cl628_3964,plain,
( ( sum @ n21 @ n3 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_3965,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3966,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2087,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_cl1103,zip_derived_cl2064]) ).
thf(zip_derived_cl11184,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n2 @ ( pred @ ( sum @ n21 @ n2 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl628,zip_derived_cl2087]) ).
thf(zip_derived_cl77_3967,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl627_3968,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_3969,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl153_3970,plain,
( ( sum @ n2 @ n22 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11187,plain,
( ( sk__2
= ( sum @ n23 @ n24 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11184,zip_derived_cl77,zip_derived_cl627,zip_derived_cl76,zip_derived_cl153]) ).
thf(zip_derived_cl701_3971,plain,
( ( sum @ n23 @ n24 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11722,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n21 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11187,zip_derived_cl701]) ).
thf(zip_derived_cl4_3972,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('523',plain,
( ( sk__1 != n2 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11722,zip_derived_cl4]) ).
thf(zip_derived_cl602_3973,plain,
( ( sum @ n20 @ n3 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_3974,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3975,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2086,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_cl1102,zip_derived_cl2064]) ).
thf(zip_derived_cl11004,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n2 @ ( pred @ ( sum @ n20 @ n2 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl602,zip_derived_cl2086]) ).
thf(zip_derived_cl76_3976,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl601_3977,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_3978,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl152_3979,plain,
( ( sum @ n2 @ n21 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11007,plain,
( ( sk__2
= ( sum @ n22 @ n23 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11004,zip_derived_cl76,zip_derived_cl601,zip_derived_cl75,zip_derived_cl152]) ).
thf(zip_derived_cl674_3980,plain,
( ( sum @ n22 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11510,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n20 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11007,zip_derived_cl674]) ).
thf(zip_derived_cl6_3981,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('524',plain,
( ( sk__1 != n2 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11510,zip_derived_cl6]) ).
thf(zip_derived_cl576_3982,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_3983,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3984,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2085,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_cl1101,zip_derived_cl2064]) ).
thf(zip_derived_cl10861,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n2 @ ( pred @ ( sum @ n19 @ n2 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl576,zip_derived_cl2085]) ).
thf(zip_derived_cl75_3985,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl575_3986,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_3987,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl151_3988,plain,
( ( sum @ n2 @ n20 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10863,plain,
( ( sk__2
= ( sum @ n21 @ n22 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10861,zip_derived_cl75,zip_derived_cl575,zip_derived_cl74,zip_derived_cl151]) ).
thf(zip_derived_cl647_3989,plain,
( ( sum @ n21 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11318,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n19 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10863,zip_derived_cl647]) ).
thf(zip_derived_cl8_3990,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('525',plain,
( ( sk__1 != n2 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11318,zip_derived_cl8]) ).
thf(zip_derived_cl550_3991,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_3992,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_3993,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2084,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_cl1100,zip_derived_cl2064]) ).
thf(zip_derived_cl10694,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n2 @ ( pred @ ( sum @ n18 @ n2 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl550,zip_derived_cl2084]) ).
thf(zip_derived_cl74_3994,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549_3995,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_3996,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl150_3997,plain,
( ( sum @ n2 @ n19 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10696,plain,
( ( sk__2
= ( sum @ n20 @ n21 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10694,zip_derived_cl74,zip_derived_cl549,zip_derived_cl73,zip_derived_cl150]) ).
thf(zip_derived_cl620_3998,plain,
( ( sum @ n20 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11112,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n18 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10696,zip_derived_cl620]) ).
thf(zip_derived_cl10_3999,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('526',plain,
( ( sk__1 != n2 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11112,zip_derived_cl10]) ).
thf(zip_derived_cl524_4000,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_4001,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_4002,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2083,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_cl1099,zip_derived_cl2064]) ).
thf(zip_derived_cl10552,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n2 @ ( pred @ ( sum @ n17 @ n2 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl524,zip_derived_cl2083]) ).
thf(zip_derived_cl73_4003,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523_4004,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4005,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_4006,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10554,plain,
( ( sk__2
= ( sum @ n19 @ n20 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10552,zip_derived_cl73,zip_derived_cl523,zip_derived_cl72,zip_derived_cl149]) ).
thf(zip_derived_cl593_4007,plain,
( ( sum @ n19 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10939,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n17 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10554,zip_derived_cl593]) ).
thf(zip_derived_cl12_4008,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('527',plain,
( ( sk__1 != n2 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10939,zip_derived_cl12]) ).
thf(zip_derived_cl498_4009,plain,
( ( sum @ n16 @ n3 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_4010,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_4011,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2082,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_cl1098,zip_derived_cl2064]) ).
thf(zip_derived_cl10413,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n2 @ ( pred @ ( sum @ n16 @ n2 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl498,zip_derived_cl2082]) ).
thf(zip_derived_cl72_4012,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_4013,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4014,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_4015,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10415,plain,
( ( sk__2
= ( sum @ n18 @ n19 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10413,zip_derived_cl72,zip_derived_cl497,zip_derived_cl71,zip_derived_cl148]) ).
thf(zip_derived_cl566_4016,plain,
( ( sum @ n18 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10785,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n16 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10415,zip_derived_cl566]) ).
thf(zip_derived_cl14_4017,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('528',plain,
( ( sk__1 != n2 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10785,zip_derived_cl14]) ).
thf(zip_derived_cl472_4018,plain,
( ( sum @ n15 @ n3 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_4019,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_4020,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2081,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_cl1097,zip_derived_cl2064]) ).
thf(zip_derived_cl10276,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n2 @ ( pred @ ( sum @ n15 @ n2 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl472,zip_derived_cl2081]) ).
thf(zip_derived_cl71_4021,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl471_4022,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4023,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl147_4024,plain,
( ( sum @ n2 @ n16 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10278,plain,
( ( sk__2
= ( sum @ n17 @ n18 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10276,zip_derived_cl71,zip_derived_cl471,zip_derived_cl70,zip_derived_cl147]) ).
thf(zip_derived_cl539_4025,plain,
( ( sum @ n17 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10618,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n15 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10278,zip_derived_cl539]) ).
thf(zip_derived_cl16_4026,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('529',plain,
( ( sk__1 != n2 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10618,zip_derived_cl16]) ).
thf(zip_derived_cl420_4027,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_4028,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_4029,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2079,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_cl1095,zip_derived_cl2064]) ).
thf(zip_derived_cl10082,plain,
( ( sk__2
= ( sum @ ( pred @ n16 ) @ ( sum @ n2 @ ( pred @ ( sum @ n13 @ n2 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl420,zip_derived_cl2079]) ).
thf(zip_derived_cl69_4030,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_4031,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4032,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_4033,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10084,plain,
( ( sk__2
= ( sum @ n15 @ n16 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10082,zip_derived_cl69,zip_derived_cl419,zip_derived_cl68,zip_derived_cl145]) ).
thf(zip_derived_cl485_4034,plain,
( ( sum @ n15 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10321,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n13 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10084,zip_derived_cl485]) ).
thf(zip_derived_cl20_4035,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('530',plain,
( ( sk__1 != n2 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10321,zip_derived_cl20]) ).
thf(zip_derived_cl394_4036,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_4037,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_4038,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2078,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_cl1094,zip_derived_cl2064]) ).
thf(zip_derived_cl9999,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n2 @ ( pred @ ( sum @ n12 @ n2 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl394,zip_derived_cl2078]) ).
thf(zip_derived_cl68_4039,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4040,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_4041,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10001,plain,
( ( sk__2
= ( sum @ n14 @ n15 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9999,zip_derived_cl68,zip_derived_cl393,zip_derived_cl67,zip_derived_cl144]) ).
thf(zip_derived_cl458_4042,plain,
( ( sum @ n14 @ n15 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10212,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n12 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10001,zip_derived_cl458]) ).
thf(zip_derived_cl22_4043,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('531',plain,
( ( sk__1 != n2 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10212,zip_derived_cl22]) ).
thf(zip_derived_cl1093_4044,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2064_4045,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n3 ) ) @ ( sum @ n2 @ ( pred @ ( sum @ sk_ @ n2 ) ) ) ) )
<= ( sk__1 = n2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl29]) ).
thf(zip_derived_cl2077,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_cl1093,zip_derived_cl2064]) ).
thf(zip_derived_cl368_4046,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4047,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4048,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_4049,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9949,plain,
( ( sk__2
= ( sum @ n13 @ n14 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2077,zip_derived_cl368,zip_derived_cl67,zip_derived_cl367,zip_derived_cl66,zip_derived_cl143]) ).
thf(zip_derived_cl431_4050,plain,
( ( sum @ n13 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10121,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n11 )
& ( sk__1 = n2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9949,zip_derived_cl431]) ).
thf(zip_derived_cl24_4051,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('532',plain,
( ( sk__1 != n2 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10121,zip_derived_cl24]) ).
thf(zip_derived_cl1099_4052,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_4053,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6883,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_cl1099,zip_derived_cl6865]) ).
thf(zip_derived_cl545_4054,plain,
( ( sum @ n17 @ n24 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4055,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl544_4056,plain,
( ( sum @ n17 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4057,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl690_4058,plain,
( ( sum @ n23 @ n13 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl453_4059,plain,
( ( sum @ n14 @ n10 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14656,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n17 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6883,zip_derived_cl545,zip_derived_cl68,zip_derived_cl544,zip_derived_cl67,zip_derived_cl690,zip_derived_cl453]) ).
thf(zip_derived_cl1_4060,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('533',plain,
( ( sk_ != n17 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14656,zip_derived_cl1]) ).
thf(zip_derived_cl1099_4061,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4062,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6828,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_cl1099,zip_derived_cl6810]) ).
thf(zip_derived_cl544_4063,plain,
( ( sum @ n17 @ n23 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4064,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl543_4065,plain,
( ( sum @ n17 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4066,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663_4067,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_4068,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14542,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n17 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6828,zip_derived_cl544,zip_derived_cl67,zip_derived_cl543,zip_derived_cl66,zip_derived_cl663,zip_derived_cl425]) ).
thf(zip_derived_cl4_4069,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('534',plain,
( ( sk_ != n17 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14542,zip_derived_cl4]) ).
thf(zip_derived_cl1099_4070,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4071,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6749,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_cl1099,zip_derived_cl6731]) ).
thf(zip_derived_cl543_4072,plain,
( ( sum @ n17 @ n22 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4073,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl542_4074,plain,
( ( sum @ n17 @ n21 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4075,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636_4076,plain,
( ( sum @ n21 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_4077,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14428,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n17 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6749,zip_derived_cl543,zip_derived_cl66,zip_derived_cl542,zip_derived_cl65,zip_derived_cl636,zip_derived_cl397]) ).
thf(zip_derived_cl7_4078,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('535',plain,
( ( sk_ != n17 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14428,zip_derived_cl7]) ).
thf(zip_derived_cl1099_4079,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4080,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6634,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_cl1099,zip_derived_cl6616]) ).
thf(zip_derived_cl541_4081,plain,
( ( sum @ n17 @ n20 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4082,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl540_4083,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4084,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl582_4085,plain,
( ( sum @ n19 @ n9 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl341_4086,plain,
( ( sum @ n10 @ n2 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14198,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n17 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6634,zip_derived_cl541,zip_derived_cl64,zip_derived_cl540,zip_derived_cl63,zip_derived_cl582,zip_derived_cl341]) ).
thf(zip_derived_cl13_4087,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('536',plain,
( ( sk_ != n17 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14198,zip_derived_cl13]) ).
thf(zip_derived_cl1099_4088,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_4089,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6579,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_cl1099,zip_derived_cl6561]) ).
thf(zip_derived_cl540_4090,plain,
( ( sum @ n17 @ n19 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4091,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl539_4092,plain,
( ( sum @ n17 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4093,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl555_4094,plain,
( ( sum @ n18 @ n8 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl313_4095,plain,
( ( sum @ n9 @ n0 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14084,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n17 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6579,zip_derived_cl540,zip_derived_cl63,zip_derived_cl539,zip_derived_cl62,zip_derived_cl555,zip_derived_cl313]) ).
thf(zip_derived_cl16_4096,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('537',plain,
( ( sk__1 != n18 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14084,zip_derived_cl16]) ).
thf(zip_derived_cl1099_4097,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_4098,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6519,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_cl1099,zip_derived_cl6501]) ).
thf(zip_derived_cl539_4099,plain,
( ( sum @ n17 @ n18 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4100,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl538_4101,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4102,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl528_4103,plain,
( ( sum @ n17 @ n7 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl311_4104,plain,
( ( sum @ n8 @ n24 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13970,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n17 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6519,zip_derived_cl539,zip_derived_cl62,zip_derived_cl538,zip_derived_cl61,zip_derived_cl528,zip_derived_cl311]) ).
thf(zip_derived_cl19_4105,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('538',plain,
( ( sk_ != n17 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13970,zip_derived_cl19]) ).
thf(zip_derived_cl1099_4106,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4107,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6457,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_cl1099,zip_derived_cl6439]) ).
thf(zip_derived_cl538_4108,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4109,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl537_4110,plain,
( ( sum @ n17 @ n16 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4111,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl501_4112,plain,
( ( sum @ n16 @ n6 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl283_4113,plain,
( ( sum @ n7 @ n22 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13856,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n17 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6457,zip_derived_cl538,zip_derived_cl61,zip_derived_cl537,zip_derived_cl60,zip_derived_cl501,zip_derived_cl283]) ).
thf(zip_derived_cl22_4114,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('539',plain,
( ( sk_ != n17 )
| ( sk__1 != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13856,zip_derived_cl22]) ).
thf(zip_derived_cl1099_4115,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4116,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6347,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_cl1099,zip_derived_cl6329]) ).
thf(zip_derived_cl536_4117,plain,
( ( sum @ n17 @ n15 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4118,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535_4119,plain,
( ( sum @ n17 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4120,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl447_4121,plain,
( ( sum @ n14 @ n4 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl227_4122,plain,
( ( sum @ n5 @ n18 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13626,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n17 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6347,zip_derived_cl536,zip_derived_cl59,zip_derived_cl535,zip_derived_cl58,zip_derived_cl447,zip_derived_cl227]) ).
thf(zip_derived_cl2_4123,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('540',plain,
( ( sk_ != n17 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13626,zip_derived_cl2]) ).
thf(zip_derived_cl1099_4124,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_4125,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6287,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_cl1099,zip_derived_cl6269]) ).
thf(zip_derived_cl535_4126,plain,
( ( sum @ n17 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4127,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534_4128,plain,
( ( sum @ n17 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4129,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_4130,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl199_4131,plain,
( ( sum @ n4 @ n16 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13512,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n17 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6287,zip_derived_cl535,zip_derived_cl58,zip_derived_cl534,zip_derived_cl57,zip_derived_cl420,zip_derived_cl199]) ).
thf(zip_derived_cl5_4132,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('541',plain,
( ( sk_ != n17 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13512,zip_derived_cl5]) ).
thf(zip_derived_cl1099_4133,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_4134,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5194,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n17 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n17 @ n12 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1099,zip_derived_cl5176]) ).
thf(zip_derived_cl534_4135,plain,
( ( sum @ n17 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4136,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533,plain,
( ( sum @ n17 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4137,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_4138,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl171_4139,plain,
( ( sum @ n3 @ n14 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12672,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n17 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5194,zip_derived_cl534,zip_derived_cl57,zip_derived_cl533,zip_derived_cl56,zip_derived_cl393,zip_derived_cl171]) ).
thf(zip_derived_cl8_4140,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('542',plain,
( ( sk_ != n17 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12672,zip_derived_cl8]) ).
thf(zip_derived_cl1099_4141,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_4142,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4786,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_cl1099,zip_derived_cl4768]) ).
thf(zip_derived_cl533_4143,plain,
( ( sum @ n17 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4144,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532_4145,plain,
( ( sum @ n17 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4146,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_4147,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl143_4148,plain,
( ( sum @ n2 @ n12 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12320,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n17 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4786,zip_derived_cl533,zip_derived_cl56,zip_derived_cl532,zip_derived_cl55,zip_derived_cl366,zip_derived_cl143]) ).
thf(zip_derived_cl11_4149,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('543',plain,
( ( sk__1 != n11 )
| ( sk_ != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12320,zip_derived_cl11]) ).
thf(zip_derived_cl523_4150,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1099_4151,plain,
( ( sk_ = n17 )
<= ( sk_ = n17 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4152,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2027,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_cl1099,zip_derived_cl2009]) ).
thf(zip_derived_cl10546,plain,
( ( sk__2
= ( sum @ ( pred @ n19 ) @ ( sum @ n1 @ ( pred @ ( sum @ n17 @ n1 ) ) ) ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl523,zip_derived_cl2027]) ).
thf(zip_derived_cl72_4153,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_4154,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4155,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl122_4156,plain,
( ( sum @ n1 @ n17 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10549,plain,
( ( sk__2
= ( sum @ n18 @ n18 ) )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10546,zip_derived_cl72,zip_derived_cl522,zip_derived_cl71,zip_derived_cl122]) ).
thf(zip_derived_cl565_4157,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10777,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n17 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10549,zip_derived_cl565]) ).
thf(zip_derived_cl15_4158,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('544',plain,
( ( sk_ != n17 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10777,zip_derived_cl15]) ).
thf(zip_derived_cl1106_4159,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4160,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6464,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_cl1106,zip_derived_cl6439]) ).
thf(zip_derived_cl720_4161,plain,
( ( sum @ n24 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4162,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl719_4163,plain,
( ( sum @ n24 @ n16 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4164,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508_4165,plain,
( ( sum @ n16 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_4166,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13870,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n24 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6464,zip_derived_cl720,zip_derived_cl68,zip_derived_cl719,zip_derived_cl67,zip_derived_cl508,zip_derived_cl446]) ).
thf(zip_derived_cl8_4167,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('545',plain,
( ( sk__1 != n16 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13870,zip_derived_cl8]) ).
thf(zip_derived_cl1104_4168,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4169,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6462,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_cl1104,zip_derived_cl6439]) ).
thf(zip_derived_cl668_4170,plain,
( ( sum @ n22 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4171,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667_4172,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4173,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506_4174,plain,
( ( sum @ n16 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_4175,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13866,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n22 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6462,zip_derived_cl668,zip_derived_cl66,zip_derived_cl667,zip_derived_cl65,zip_derived_cl506,zip_derived_cl392]) ).
thf(zip_derived_cl12_4176,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('546',plain,
( ( sk__1 != n16 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13866,zip_derived_cl12]) ).
thf(zip_derived_cl1103_4177,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4178,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6461,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_cl1103,zip_derived_cl6439]) ).
thf(zip_derived_cl642_4179,plain,
( ( sum @ n21 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4180,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl641_4181,plain,
( ( sum @ n21 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4182,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505_4183,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_4184,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13864,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n21 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6461,zip_derived_cl642,zip_derived_cl65,zip_derived_cl641,zip_derived_cl64,zip_derived_cl505,zip_derived_cl365]) ).
thf(zip_derived_cl14_4185,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('547',plain,
( ( sk__1 != n16 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13864,zip_derived_cl14]) ).
thf(zip_derived_cl1102_4186,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4187,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6460,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_cl1102,zip_derived_cl6439]) ).
thf(zip_derived_cl616_4188,plain,
( ( sum @ n20 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4189,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl615_4190,plain,
( ( sum @ n20 @ n16 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4191,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl504_4192,plain,
( ( sum @ n16 @ n9 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl364_4193,plain,
( ( sum @ n10 @ n25 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13862,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n20 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6460,zip_derived_cl616,zip_derived_cl64,zip_derived_cl615,zip_derived_cl63,zip_derived_cl504,zip_derived_cl364]) ).
thf(zip_derived_cl16_4194,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('548',plain,
( ( sk__1 != n16 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13862,zip_derived_cl16]) ).
thf(zip_derived_cl1101_4195,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4196,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6459,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_cl1101,zip_derived_cl6439]) ).
thf(zip_derived_cl590_4197,plain,
( ( sum @ n19 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4198,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589_4199,plain,
( ( sum @ n19 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4200,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl503_4201,plain,
( ( sum @ n16 @ n8 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl337_4202,plain,
( ( sum @ n9 @ n24 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13860,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n19 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6459,zip_derived_cl590,zip_derived_cl63,zip_derived_cl589,zip_derived_cl62,zip_derived_cl503,zip_derived_cl337]) ).
thf(zip_derived_cl18_4203,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('549',plain,
( ( sk__1 != n16 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13860,zip_derived_cl18]) ).
thf(zip_derived_cl1100_4204,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4205,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6458,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_cl1100,zip_derived_cl6439]) ).
thf(zip_derived_cl564_4206,plain,
( ( sum @ n18 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4207,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl563_4208,plain,
( ( sum @ n18 @ n16 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4209,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_4210,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl310_4211,plain,
( ( sum @ n8 @ n23 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13858,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n18 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6458,zip_derived_cl564,zip_derived_cl62,zip_derived_cl563,zip_derived_cl61,zip_derived_cl502,zip_derived_cl310]) ).
thf(zip_derived_cl20_4212,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('550',plain,
( ( sk__1 != n16 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13858,zip_derived_cl20]) ).
thf(zip_derived_cl1098_4213,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4214,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6456,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_cl1098,zip_derived_cl6439]) ).
thf(zip_derived_cl512_4215,plain,
( ( sum @ n16 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4216,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl511_4217,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4218,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl500_4219,plain,
( ( sum @ n16 @ n5 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl256_4220,plain,
( ( sum @ n6 @ n21 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13854,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n16 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6456,zip_derived_cl512,zip_derived_cl60,zip_derived_cl511,zip_derived_cl59,zip_derived_cl500,zip_derived_cl256]) ).
thf(zip_derived_cl24_4221,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('551',plain,
( ( sk__1 != n16 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13854,zip_derived_cl24]) ).
thf(zip_derived_cl1097_4222,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4223,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6455,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_cl1097,zip_derived_cl6439]) ).
thf(zip_derived_cl486_4224,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4225,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl485_4226,plain,
( ( sum @ n15 @ n16 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4227,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl499_4228,plain,
( ( sum @ n16 @ n4 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl229_4229,plain,
( ( sum @ n5 @ n20 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13850,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n15 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6455,zip_derived_cl486,zip_derived_cl59,zip_derived_cl485,zip_derived_cl58,zip_derived_cl499,zip_derived_cl229]) ).
thf(zip_derived_cl0_4230,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('552',plain,
( ( sk__1 != n16 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13850,zip_derived_cl0]) ).
thf(zip_derived_cl1095_4231,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4232,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6453,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_cl1095,zip_derived_cl6439]) ).
thf(zip_derived_cl434_4233,plain,
( ( sum @ n13 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4234,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl433_4235,plain,
( ( sum @ n13 @ n16 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4236,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl497_4237,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl175_4238,plain,
( ( sum @ n3 @ n18 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13846,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n13 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6453,zip_derived_cl434,zip_derived_cl57,zip_derived_cl433,zip_derived_cl56,zip_derived_cl497,zip_derived_cl175]) ).
thf(zip_derived_cl4_4239,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('553',plain,
( ( sk__1 != n16 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13846,zip_derived_cl4]) ).
thf(zip_derived_cl1094_4240,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4241,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6452,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_cl1094,zip_derived_cl6439]) ).
thf(zip_derived_cl408_4242,plain,
( ( sum @ n12 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4243,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl407_4244,plain,
( ( sum @ n12 @ n16 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4245,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_4246,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl148_4247,plain,
( ( sum @ n2 @ n17 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13844,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n12 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6452,zip_derived_cl408,zip_derived_cl56,zip_derived_cl407,zip_derived_cl55,zip_derived_cl496,zip_derived_cl148]) ).
thf(zip_derived_cl6_4248,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('554',plain,
( ( sk__1 != n16 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13844,zip_derived_cl6]) ).
thf(zip_derived_cl1093_4249,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6439_4250,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n17 ) ) @ ( sum @ n16 @ ( pred @ ( sum @ sk_ @ n16 ) ) ) ) )
<= ( sk__1 = n16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1708,zip_derived_cl43]) ).
thf(zip_derived_cl6451,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_cl1093,zip_derived_cl6439]) ).
thf(zip_derived_cl382_4251,plain,
( ( sum @ n11 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4252,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl381_4253,plain,
( ( sum @ n11 @ n16 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4254,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl495_4255,plain,
( ( sum @ n16 @ n0 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_4256,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13842,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n11 )
& ( sk__1 = n16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6451,zip_derived_cl382,zip_derived_cl55,zip_derived_cl381,zip_derived_cl54,zip_derived_cl495,zip_derived_cl121]) ).
thf(zip_derived_cl8_4257,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('555',plain,
( ( sk__1 != n16 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13842,zip_derived_cl8]) ).
thf(zip_derived_cl1094_4258,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_4259,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6878,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_cl1094,zip_derived_cl6865]) ).
thf(zip_derived_cl415_4260,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4261,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_4262,plain,
( ( sum @ n12 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4263,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl685_4264,plain,
( ( sum @ n23 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl318_4265,plain,
( ( sum @ n9 @ n5 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14646,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n12 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6878,zip_derived_cl415,zip_derived_cl63,zip_derived_cl414,zip_derived_cl62,zip_derived_cl685,zip_derived_cl318]) ).
thf(zip_derived_cl11_4266,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('556',plain,
( ( sk_ != n12 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14646,zip_derived_cl11]) ).
thf(zip_derived_cl1094_4267,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4268,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6823,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_cl1094,zip_derived_cl6810]) ).
thf(zip_derived_cl414_4269,plain,
( ( sum @ n12 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4270,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_4271,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4272,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl658_4273,plain,
( ( sum @ n22 @ n7 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl290_4274,plain,
( ( sum @ n8 @ n3 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14530,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n12 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6823,zip_derived_cl414,zip_derived_cl62,zip_derived_cl413,zip_derived_cl61,zip_derived_cl658,zip_derived_cl290]) ).
thf(zip_derived_cl14_4275,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('557',plain,
( ( sk_ != n12 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14530,zip_derived_cl14]) ).
thf(zip_derived_cl1094_4276,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4277,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6744,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_cl1094,zip_derived_cl6731]) ).
thf(zip_derived_cl413_4278,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4279,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl412_4280,plain,
( ( sum @ n12 @ n21 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4281,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl631_4282,plain,
( ( sum @ n21 @ n6 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl262_4283,plain,
( ( sum @ n7 @ n1 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14416,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n12 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6744,zip_derived_cl413,zip_derived_cl61,zip_derived_cl412,zip_derived_cl60,zip_derived_cl631,zip_derived_cl262]) ).
thf(zip_derived_cl17_4284,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('558',plain,
( ( sk_ != n12 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14416,zip_derived_cl17]) ).
thf(zip_derived_cl1094_4285,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4286,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6629,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_cl1094,zip_derived_cl6616]) ).
thf(zip_derived_cl411_4287,plain,
( ( sum @ n12 @ n20 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4288,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl410_4289,plain,
( ( sum @ n12 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4290,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl577_4291,plain,
( ( sum @ n19 @ n4 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl232_4292,plain,
( ( sum @ n5 @ n23 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14188,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n12 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6629,zip_derived_cl411,zip_derived_cl59,zip_derived_cl410,zip_derived_cl58,zip_derived_cl577,zip_derived_cl232]) ).
thf(zip_derived_cl23_4293,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('559',plain,
( ( sk_ != n12 )
| ( sk__1 != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14188,zip_derived_cl23]) ).
thf(zip_derived_cl1094_4294,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_4295,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6574,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_cl1094,zip_derived_cl6561]) ).
thf(zip_derived_cl410_4296,plain,
( ( sum @ n12 @ n19 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4297,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl409_4298,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4299,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl550_4300,plain,
( ( sum @ n18 @ n3 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl204_4301,plain,
( ( sum @ n4 @ n21 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14074,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n12 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6574,zip_derived_cl410,zip_derived_cl58,zip_derived_cl409,zip_derived_cl57,zip_derived_cl550,zip_derived_cl204]) ).
thf(zip_derived_cl0_4302,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('560',plain,
( ( sk__1 != n18 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14074,zip_derived_cl0]) ).
thf(zip_derived_cl1094_4303,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_4304,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6514,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_cl1094,zip_derived_cl6501]) ).
thf(zip_derived_cl409_4305,plain,
( ( sum @ n12 @ n18 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4306,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl408_4307,plain,
( ( sum @ n12 @ n17 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4308,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl523_4309,plain,
( ( sum @ n17 @ n2 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl176_4310,plain,
( ( sum @ n3 @ n19 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13958,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n12 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6514,zip_derived_cl409,zip_derived_cl57,zip_derived_cl408,zip_derived_cl56,zip_derived_cl523,zip_derived_cl176]) ).
thf(zip_derived_cl3_4311,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('561',plain,
( ( sk_ != n12 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13958,zip_derived_cl3]) ).
thf(zip_derived_cl1094_4312,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4313,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6342,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_cl1094,zip_derived_cl6329]) ).
thf(zip_derived_cl406_4314,plain,
( ( sum @ n12 @ n15 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4315,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl405_4316,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4317,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl468_4318,plain,
( ( sum @ n14 @ n25 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl92_4319,plain,
( ( sum @ n0 @ n13 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13616,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n12 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6342,zip_derived_cl406,zip_derived_cl54,zip_derived_cl405,zip_derived_cl53,zip_derived_cl468,zip_derived_cl92]) ).
thf(zip_derived_cl12_4320,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('562',plain,
( ( sk_ != n12 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13616,zip_derived_cl12]) ).
thf(zip_derived_cl1094_4321,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_4322,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6282,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_cl1094,zip_derived_cl6269]) ).
thf(zip_derived_cl405_4323,plain,
( ( sum @ n12 @ n14 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4324,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl404_4325,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4326,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl441_4327,plain,
( ( sum @ n13 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl740_4328,plain,
( ( sum @ n25 @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13502,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n12 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6282,zip_derived_cl405,zip_derived_cl53,zip_derived_cl404,zip_derived_cl78,zip_derived_cl441,zip_derived_cl740]) ).
thf(zip_derived_cl15_4329,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('563',plain,
( ( sk_ != n12 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13502,zip_derived_cl15]) ).
thf(zip_derived_cl1094_4330,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_4331,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5189,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_cl1094,zip_derived_cl5176]) ).
thf(zip_derived_cl404_4332,plain,
( ( sum @ n12 @ n13 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4333,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl403_4334,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_4335,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl414_4336,plain,
( ( sum @ n12 @ n23 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl712_4337,plain,
( ( sum @ n24 @ n9 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12660,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n12 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5189,zip_derived_cl404,zip_derived_cl78,zip_derived_cl403,zip_derived_cl77,zip_derived_cl414,zip_derived_cl712]) ).
thf(zip_derived_cl18_4338,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('564',plain,
( ( sk_ != n12 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12660,zip_derived_cl18]) ).
thf(zip_derived_cl1094_4339,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_4340,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4781,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_cl1094,zip_derived_cl4768]) ).
thf(zip_derived_cl403_4341,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_4342,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl402_4343,plain,
( ( sum @ n12 @ n11 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4344,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_4345,plain,
( ( sum @ n11 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684_4346,plain,
( ( sum @ n23 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12308,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n12 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4781,zip_derived_cl403,zip_derived_cl77,zip_derived_cl402,zip_derived_cl76,zip_derived_cl387,zip_derived_cl684]) ).
thf(zip_derived_cl21_4347,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('565',plain,
( ( sk__1 != n11 )
| ( sk_ != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12308,zip_derived_cl21]) ).
thf(zip_derived_cl393_4348,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1094_4349,plain,
( ( sk_ = n12 )
<= ( sk_ = n12 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4350,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2022,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_cl1094,zip_derived_cl2009]) ).
thf(zip_derived_cl9991,plain,
( ( sk__2
= ( sum @ ( pred @ n14 ) @ ( sum @ n1 @ ( pred @ ( sum @ n12 @ n1 ) ) ) ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl393,zip_derived_cl2022]) ).
thf(zip_derived_cl67_4351,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_4352,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4353,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_4354,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9994,plain,
( ( sk__2
= ( sum @ n13 @ n13 ) )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9991,zip_derived_cl67,zip_derived_cl392,zip_derived_cl66,zip_derived_cl117]) ).
thf(zip_derived_cl430_4355,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10116,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n12 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9994,zip_derived_cl430]) ).
thf(zip_derived_cl25_4356,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('566',plain,
( ( sk_ != n12 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10116,zip_derived_cl25]) ).
thf(zip_derived_cl1106_4357,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4358,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6641,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_cl1106,zip_derived_cl6616]) ).
thf(zip_derived_cl723_4359,plain,
( ( sum @ n24 @ n20 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4360,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl722_4361,plain,
( ( sum @ n24 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4362,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl589_4363,plain,
( ( sum @ n19 @ n16 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_4364,plain,
( ( sum @ n17 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14214,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n24 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6641,zip_derived_cl723,zip_derived_cl71,zip_derived_cl722,zip_derived_cl70,zip_derived_cl589,zip_derived_cl530]) ).
thf(zip_derived_cl25_4365,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('567',plain,
( ( sk__1 != n19 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14214,zip_derived_cl25]) ).
thf(zip_derived_cl1104_4366,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4367,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6639,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_cl1104,zip_derived_cl6616]) ).
thf(zip_derived_cl671_4368,plain,
( ( sum @ n22 @ n20 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4369,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl670_4370,plain,
( ( sum @ n22 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4371,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587_4372,plain,
( ( sum @ n19 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl476_4373,plain,
( ( sum @ n15 @ n7 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14210,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n22 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6639,zip_derived_cl671,zip_derived_cl69,zip_derived_cl670,zip_derived_cl68,zip_derived_cl587,zip_derived_cl476]) ).
thf(zip_derived_cl3_4374,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('568',plain,
( ( sk__1 != n19 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14210,zip_derived_cl3]) ).
thf(zip_derived_cl1103_4375,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4376,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6638,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_cl1103,zip_derived_cl6616]) ).
thf(zip_derived_cl645_4377,plain,
( ( sum @ n21 @ n20 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4378,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl644_4379,plain,
( ( sum @ n21 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4380,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586,plain,
( ( sum @ n19 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_4381,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14208,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n21 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6638,zip_derived_cl645,zip_derived_cl68,zip_derived_cl644,zip_derived_cl67,zip_derived_cl586,zip_derived_cl449]) ).
thf(zip_derived_cl5_4382,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('569',plain,
( ( sk__1 != n19 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14208,zip_derived_cl5]) ).
thf(zip_derived_cl1102_4383,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4384,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6637,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_cl1102,zip_derived_cl6616]) ).
thf(zip_derived_cl619_4385,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4386,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl618_4387,plain,
( ( sum @ n20 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4388,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585_4389,plain,
( ( sum @ n19 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_4390,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14206,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n20 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6637,zip_derived_cl619,zip_derived_cl67,zip_derived_cl618,zip_derived_cl66,zip_derived_cl585,zip_derived_cl422]) ).
thf(zip_derived_cl7_4391,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('570',plain,
( ( sk__1 != n19 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14206,zip_derived_cl7]) ).
thf(zip_derived_cl1101_4392,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4393,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6636,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_cl1101,zip_derived_cl6616]) ).
thf(zip_derived_cl593_4394,plain,
( ( sum @ n19 @ n20 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4395,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl592_4396,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4397,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584_4398,plain,
( ( sum @ n19 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_4399,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14202,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n19 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6636,zip_derived_cl593,zip_derived_cl66,zip_derived_cl592,zip_derived_cl65,zip_derived_cl584,zip_derived_cl395]) ).
thf(zip_derived_cl9_4400,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('571',plain,
( ( sk__1 != n19 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14202,zip_derived_cl9]) ).
thf(zip_derived_cl1100_4401,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4402,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6635,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_cl1100,zip_derived_cl6616]) ).
thf(zip_derived_cl567_4403,plain,
( ( sum @ n18 @ n20 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4404,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl566_4405,plain,
( ( sum @ n18 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4406,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl583_4407,plain,
( ( sum @ n19 @ n10 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_4408,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14200,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n18 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6635,zip_derived_cl567,zip_derived_cl65,zip_derived_cl566,zip_derived_cl64,zip_derived_cl583,zip_derived_cl368]) ).
thf(zip_derived_cl11_4409,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('572',plain,
( ( sk__1 != n19 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14200,zip_derived_cl11]) ).
thf(zip_derived_cl1098_4410,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4411,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6633,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_cl1098,zip_derived_cl6616]) ).
thf(zip_derived_cl515_4412,plain,
( ( sum @ n16 @ n20 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4413,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl514_4414,plain,
( ( sum @ n16 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4415,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl581_4416,plain,
( ( sum @ n19 @ n8 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl314_4417,plain,
( ( sum @ n9 @ n1 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14196,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n16 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6633,zip_derived_cl515,zip_derived_cl63,zip_derived_cl514,zip_derived_cl62,zip_derived_cl581,zip_derived_cl314]) ).
thf(zip_derived_cl15_4418,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('573',plain,
( ( sk__1 != n19 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14196,zip_derived_cl15]) ).
thf(zip_derived_cl1097_4419,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4420,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6632,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_cl1097,zip_derived_cl6616]) ).
thf(zip_derived_cl489_4421,plain,
( ( sum @ n15 @ n20 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4422,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl488_4423,plain,
( ( sum @ n15 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4424,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl580_4425,plain,
( ( sum @ n19 @ n7 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl287_4426,plain,
( ( sum @ n8 @ n0 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14194,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n15 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6632,zip_derived_cl489,zip_derived_cl62,zip_derived_cl488,zip_derived_cl61,zip_derived_cl580,zip_derived_cl287]) ).
thf(zip_derived_cl17_4427,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('574',plain,
( ( sk__1 != n19 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14194,zip_derived_cl17]) ).
thf(zip_derived_cl1095_4428,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4429,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6630,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_cl1095,zip_derived_cl6616]) ).
thf(zip_derived_cl437_4430,plain,
( ( sum @ n13 @ n20 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4431,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl436_4432,plain,
( ( sum @ n13 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4433,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl578_4434,plain,
( ( sum @ n19 @ n5 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl259_4435,plain,
( ( sum @ n6 @ n24 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14190,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n13 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6630,zip_derived_cl437,zip_derived_cl60,zip_derived_cl436,zip_derived_cl59,zip_derived_cl578,zip_derived_cl259]) ).
thf(zip_derived_cl21_4436,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('575',plain,
( ( sk__1 != n19 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14190,zip_derived_cl21]) ).
thf(zip_derived_cl1093_4437,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6616_4438,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n20 ) ) @ ( sum @ n19 @ ( pred @ ( sum @ sk_ @ n19 ) ) ) ) )
<= ( sk__1 = n19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl46]) ).
thf(zip_derived_cl6628,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_cl1093,zip_derived_cl6616]) ).
thf(zip_derived_cl385_4439,plain,
( ( sum @ n11 @ n20 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4440,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl384_4441,plain,
( ( sum @ n11 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4442,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl576_4443,plain,
( ( sum @ n19 @ n3 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl205_4444,plain,
( ( sum @ n4 @ n22 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14186,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n11 )
& ( sk__1 = n19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6628,zip_derived_cl385,zip_derived_cl58,zip_derived_cl384,zip_derived_cl57,zip_derived_cl576,zip_derived_cl205]) ).
thf(zip_derived_cl25_4445,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('576',plain,
( ( sk__1 != n19 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14186,zip_derived_cl25]) ).
thf(zip_derived_cl1097_4446,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_4447,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6881,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_cl1097,zip_derived_cl6865]) ).
thf(zip_derived_cl493_4448,plain,
( ( sum @ n15 @ n24 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4449,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl492_4450,plain,
( ( sum @ n15 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4451,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl688_4452,plain,
( ( sum @ n23 @ n11 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl399_4453,plain,
( ( sum @ n12 @ n8 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14652,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n15 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6881,zip_derived_cl493,zip_derived_cl66,zip_derived_cl492,zip_derived_cl65,zip_derived_cl688,zip_derived_cl399]) ).
thf(zip_derived_cl5_4454,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('577',plain,
( ( sk_ != n15 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14652,zip_derived_cl5]) ).
thf(zip_derived_cl1097_4455,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4456,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6826,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_cl1097,zip_derived_cl6810]) ).
thf(zip_derived_cl492_4457,plain,
( ( sum @ n15 @ n23 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4458,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl491_4459,plain,
( ( sum @ n15 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4460,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl661_4461,plain,
( ( sum @ n22 @ n10 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_4462,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14538,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n15 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6826,zip_derived_cl492,zip_derived_cl65,zip_derived_cl491,zip_derived_cl64,zip_derived_cl661,zip_derived_cl371]) ).
thf(zip_derived_cl8_4463,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('578',plain,
( ( sk_ != n15 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14538,zip_derived_cl8]) ).
thf(zip_derived_cl1097_4464,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4465,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6747,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_cl1097,zip_derived_cl6731]) ).
thf(zip_derived_cl491_4466,plain,
( ( sum @ n15 @ n22 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4467,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl490_4468,plain,
( ( sum @ n15 @ n21 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4469,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl634_4470,plain,
( ( sum @ n21 @ n9 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl343_4471,plain,
( ( sum @ n10 @ n4 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14422,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n15 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6747,zip_derived_cl491,zip_derived_cl64,zip_derived_cl490,zip_derived_cl63,zip_derived_cl634,zip_derived_cl343]) ).
thf(zip_derived_cl11_4472,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('579',plain,
( ( sk_ != n15 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14422,zip_derived_cl11]) ).
thf(zip_derived_cl1097_4473,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_4474,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6577,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_cl1097,zip_derived_cl6561]) ).
thf(zip_derived_cl488_4475,plain,
( ( sum @ n15 @ n19 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4476,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl487_4477,plain,
( ( sum @ n15 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4478,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl553_4479,plain,
( ( sum @ n18 @ n6 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl285_4480,plain,
( ( sum @ n7 @ n24 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14080,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n15 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6577,zip_derived_cl488,zip_derived_cl61,zip_derived_cl487,zip_derived_cl60,zip_derived_cl553,zip_derived_cl285]) ).
thf(zip_derived_cl20_4481,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('580',plain,
( ( sk__1 != n18 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14080,zip_derived_cl20]) ).
thf(zip_derived_cl1097_4482,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_4483,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6517,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_cl1097,zip_derived_cl6501]) ).
thf(zip_derived_cl487_4484,plain,
( ( sum @ n15 @ n18 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4485,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl486_4486,plain,
( ( sum @ n15 @ n17 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4487,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl526_4488,plain,
( ( sum @ n17 @ n5 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl257_4489,plain,
( ( sum @ n6 @ n22 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13966,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n15 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6517,zip_derived_cl487,zip_derived_cl60,zip_derived_cl486,zip_derived_cl59,zip_derived_cl526,zip_derived_cl257]) ).
thf(zip_derived_cl23_4490,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('581',plain,
( ( sk_ != n15 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13966,zip_derived_cl23]) ).
thf(zip_derived_cl1097_4491,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4492,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6345,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_cl1097,zip_derived_cl6329]) ).
thf(zip_derived_cl484_4493,plain,
( ( sum @ n15 @ n15 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4494,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl483_4495,plain,
( ( sum @ n15 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4496,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl445_4497,plain,
( ( sum @ n14 @ n2 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl173_4498,plain,
( ( sum @ n3 @ n16 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13622,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n15 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6345,zip_derived_cl484,zip_derived_cl57,zip_derived_cl483,zip_derived_cl56,zip_derived_cl445,zip_derived_cl173]) ).
thf(zip_derived_cl6_4499,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('582',plain,
( ( sk_ != n15 )
| ( sk__1 != n14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13622,zip_derived_cl6]) ).
thf(zip_derived_cl1097_4500,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_4501,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6285,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_cl1097,zip_derived_cl6269]) ).
thf(zip_derived_cl483_4502,plain,
( ( sum @ n15 @ n14 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4503,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl482_4504,plain,
( ( sum @ n15 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4505,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_4506,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl145_4507,plain,
( ( sum @ n2 @ n14 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13508,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n15 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6285,zip_derived_cl483,zip_derived_cl56,zip_derived_cl482,zip_derived_cl55,zip_derived_cl418,zip_derived_cl145]) ).
thf(zip_derived_cl9_4508,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('583',plain,
( ( sk_ != n15 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13508,zip_derived_cl9]) ).
thf(zip_derived_cl1097_4509,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_4510,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5192,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n15 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n15 @ n12 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1097,zip_derived_cl5176]) ).
thf(zip_derived_cl482_4511,plain,
( ( sum @ n15 @ n13 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4512,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl481_4513,plain,
( ( sum @ n15 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4514,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl391_4515,plain,
( ( sum @ n12 @ n0 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl117_4516,plain,
( ( sum @ n1 @ n12 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12668,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n15 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5192,zip_derived_cl482,zip_derived_cl55,zip_derived_cl481,zip_derived_cl54,zip_derived_cl391,zip_derived_cl117]) ).
thf(zip_derived_cl12_4517,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('584',plain,
( ( sk_ != n15 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12668,zip_derived_cl12]) ).
thf(zip_derived_cl1097_4518,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_4519,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4784,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_cl1097,zip_derived_cl4768]) ).
thf(zip_derived_cl481_4520,plain,
( ( sum @ n15 @ n12 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4521,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_4522,plain,
( ( sum @ n15 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4523,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl390_4524,plain,
( ( sum @ n11 @ n25 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl89_4525,plain,
( ( sum @ n0 @ n10 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12316,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n15 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4784,zip_derived_cl481,zip_derived_cl54,zip_derived_cl480,zip_derived_cl53,zip_derived_cl390,zip_derived_cl89]) ).
thf(zip_derived_cl15_4526,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('585',plain,
( ( sk__1 != n11 )
| ( sk_ != n15 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12316,zip_derived_cl15]) ).
thf(zip_derived_cl471_4527,plain,
( ( sum @ n15 @ n2 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1097_4528,plain,
( ( sk_ = n15 )
<= ( sk_ = n15 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4529,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2025,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_cl1097,zip_derived_cl2009]) ).
thf(zip_derived_cl10271,plain,
( ( sk__2
= ( sum @ ( pred @ n17 ) @ ( sum @ n1 @ ( pred @ ( sum @ n15 @ n1 ) ) ) ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl2025]) ).
thf(zip_derived_cl70_4530,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl470_4531,plain,
( ( sum @ n15 @ n1 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4532,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl120_4533,plain,
( ( sum @ n1 @ n15 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10273,plain,
( ( sk__2
= ( sum @ n16 @ n16 ) )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10271,zip_derived_cl70,zip_derived_cl470,zip_derived_cl69,zip_derived_cl120]) ).
thf(zip_derived_cl511_4534,plain,
( ( sum @ n16 @ n16 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10481,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n15 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10273,zip_derived_cl511]) ).
thf(zip_derived_cl19_4535,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('586',plain,
( ( sk_ != n15 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10481,zip_derived_cl19]) ).
thf(zip_derived_cl1106_4536,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4537,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6354,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ n24 @ n14 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1106,zip_derived_cl6329]) ).
thf(zip_derived_cl718_4538,plain,
( ( sum @ n24 @ n15 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4539,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl717_4540,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4541,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl454_4542,plain,
( ( sum @ n14 @ n11 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl416_4543,plain,
( ( sum @ n12 @ n25 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13642,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n24 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6354,zip_derived_cl718,zip_derived_cl66,zip_derived_cl717,zip_derived_cl65,zip_derived_cl454,zip_derived_cl416]) ).
thf(zip_derived_cl14_4544,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('587',plain,
( ( sk__1 != n14 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13642,zip_derived_cl14]) ).
thf(zip_derived_cl1104_4545,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4546,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6352,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_cl1104,zip_derived_cl6329]) ).
thf(zip_derived_cl666_4547,plain,
( ( sum @ n22 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4548,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665_4549,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4550,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_4551,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl362_4552,plain,
( ( sum @ n10 @ n23 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13638,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n22 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6352,zip_derived_cl666,zip_derived_cl64,zip_derived_cl665,zip_derived_cl63,zip_derived_cl452,zip_derived_cl362]) ).
thf(zip_derived_cl18_4553,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('588',plain,
( ( sk__1 != n14 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13638,zip_derived_cl18]) ).
thf(zip_derived_cl1103_4554,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4555,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6351,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_cl1103,zip_derived_cl6329]) ).
thf(zip_derived_cl640_4556,plain,
( ( sum @ n21 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4557,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl639_4558,plain,
( ( sum @ n21 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4559,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_4560,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl335_4561,plain,
( ( sum @ n9 @ n22 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13636,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n21 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6351,zip_derived_cl640,zip_derived_cl63,zip_derived_cl639,zip_derived_cl62,zip_derived_cl451,zip_derived_cl335]) ).
thf(zip_derived_cl20_4562,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('589',plain,
( ( sk__1 != n14 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13636,zip_derived_cl20]) ).
thf(zip_derived_cl1102_4563,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4564,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6350,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_cl1102,zip_derived_cl6329]) ).
thf(zip_derived_cl614_4565,plain,
( ( sum @ n20 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4566,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl613_4567,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4568,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl450_4569,plain,
( ( sum @ n14 @ n7 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl308_4570,plain,
( ( sum @ n8 @ n21 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13634,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n20 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6350,zip_derived_cl614,zip_derived_cl62,zip_derived_cl613,zip_derived_cl61,zip_derived_cl450,zip_derived_cl308]) ).
thf(zip_derived_cl22_4571,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('590',plain,
( ( sk__1 != n14 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13634,zip_derived_cl22]) ).
thf(zip_derived_cl1101_4572,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4573,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6349,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_cl1101,zip_derived_cl6329]) ).
thf(zip_derived_cl588_4574,plain,
( ( sum @ n19 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4575,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl587_4576,plain,
( ( sum @ n19 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4577,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl449_4578,plain,
( ( sum @ n14 @ n6 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl281_4579,plain,
( ( sum @ n7 @ n20 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13630,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n19 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6349,zip_derived_cl588,zip_derived_cl61,zip_derived_cl587,zip_derived_cl60,zip_derived_cl449,zip_derived_cl281]) ).
thf(zip_derived_cl24_4580,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('591',plain,
( ( sk__1 != n14 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13630,zip_derived_cl24]) ).
thf(zip_derived_cl1100_4581,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4582,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6348,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_cl1100,zip_derived_cl6329]) ).
thf(zip_derived_cl562_4583,plain,
( ( sum @ n18 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4584,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561_4585,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4586,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_4587,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl254_4588,plain,
( ( sum @ n6 @ n19 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13628,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n18 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6348,zip_derived_cl562,zip_derived_cl60,zip_derived_cl561,zip_derived_cl59,zip_derived_cl448,zip_derived_cl254]) ).
thf(zip_derived_cl0_4589,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('592',plain,
( ( sk__1 != n14 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13628,zip_derived_cl0]) ).
thf(zip_derived_cl1098_4590,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4591,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6346,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_cl1098,zip_derived_cl6329]) ).
thf(zip_derived_cl510_4592,plain,
( ( sum @ n16 @ n15 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4593,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl509_4594,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4595,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl446_4596,plain,
( ( sum @ n14 @ n3 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl200_4597,plain,
( ( sum @ n4 @ n17 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13624,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n16 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6346,zip_derived_cl510,zip_derived_cl58,zip_derived_cl509,zip_derived_cl57,zip_derived_cl446,zip_derived_cl200]) ).
thf(zip_derived_cl4_4598,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('593',plain,
( ( sk__1 != n14 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13624,zip_derived_cl4]) ).
thf(zip_derived_cl1095_4599,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4600,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6343,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_cl1095,zip_derived_cl6329]) ).
thf(zip_derived_cl432_4601,plain,
( ( sum @ n13 @ n15 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4602,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl431_4603,plain,
( ( sum @ n13 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4604,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl443_4605,plain,
( ( sum @ n14 @ n0 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl119_4606,plain,
( ( sum @ n1 @ n14 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13618,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n13 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6343,zip_derived_cl432,zip_derived_cl55,zip_derived_cl431,zip_derived_cl54,zip_derived_cl443,zip_derived_cl119]) ).
thf(zip_derived_cl10_4607,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('594',plain,
( ( sk__1 != n14 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13618,zip_derived_cl10]) ).
thf(zip_derived_cl1093_4608,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6329_4609,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n15 ) ) @ ( sum @ n14 @ ( pred @ ( sum @ sk_ @ n14 ) ) ) ) )
<= ( sk__1 = n14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1673,zip_derived_cl41]) ).
thf(zip_derived_cl6341,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_cl1093,zip_derived_cl6329]) ).
thf(zip_derived_cl380_4610,plain,
( ( sum @ n11 @ n15 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4611,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl379_4612,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4613,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl467_4614,plain,
( ( sum @ n14 @ n24 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl741_4615,plain,
( ( sum @ n25 @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13614,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n11 )
& ( sk__1 = n14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6341,zip_derived_cl380,zip_derived_cl53,zip_derived_cl379,zip_derived_cl78,zip_derived_cl467,zip_derived_cl741]) ).
thf(zip_derived_cl14_4616,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('595',plain,
( ( sk__1 != n14 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13614,zip_derived_cl14]) ).
thf(zip_derived_cl1098_4617,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_4618,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6882,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_cl1098,zip_derived_cl6865]) ).
thf(zip_derived_cl519_4619,plain,
( ( sum @ n16 @ n24 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4620,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl518_4621,plain,
( ( sum @ n16 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4622,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl689_4623,plain,
( ( sum @ n23 @ n12 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl426_4624,plain,
( ( sum @ n13 @ n9 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14654,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n16 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6882,zip_derived_cl519,zip_derived_cl67,zip_derived_cl518,zip_derived_cl66,zip_derived_cl689,zip_derived_cl426]) ).
thf(zip_derived_cl3_4625,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('596',plain,
( ( sk_ != n16 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14654,zip_derived_cl3]) ).
thf(zip_derived_cl1098_4626,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4627,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6827,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_cl1098,zip_derived_cl6810]) ).
thf(zip_derived_cl518_4628,plain,
( ( sum @ n16 @ n23 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4629,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl517_4630,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4631,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662_4632,plain,
( ( sum @ n22 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_4633,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14540,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n16 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6827,zip_derived_cl518,zip_derived_cl66,zip_derived_cl517,zip_derived_cl65,zip_derived_cl662,zip_derived_cl398]) ).
thf(zip_derived_cl6_4634,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('597',plain,
( ( sk_ != n16 )
| ( sk__1 != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14540,zip_derived_cl6]) ).
thf(zip_derived_cl1098_4635,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4636,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6748,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_cl1098,zip_derived_cl6731]) ).
thf(zip_derived_cl517_4637,plain,
( ( sum @ n16 @ n22 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_4638,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl516_4639,plain,
( ( sum @ n16 @ n21 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4640,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl635_4641,plain,
( ( sum @ n21 @ n10 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_4642,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14426,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n16 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6748,zip_derived_cl517,zip_derived_cl65,zip_derived_cl516,zip_derived_cl64,zip_derived_cl635,zip_derived_cl370]) ).
thf(zip_derived_cl9_4643,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('598',plain,
( ( sk_ != n16 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14426,zip_derived_cl9]) ).
thf(zip_derived_cl1098_4644,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_4645,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6578,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_cl1098,zip_derived_cl6561]) ).
thf(zip_derived_cl514_4646,plain,
( ( sum @ n16 @ n19 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4647,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl513_4648,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4649,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl554_4650,plain,
( ( sum @ n18 @ n7 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl312_4651,plain,
( ( sum @ n8 @ n25 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14082,plain,
( ( sk__2 = n7 )
<= ( ( sk_ = n16 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6578,zip_derived_cl514,zip_derived_cl62,zip_derived_cl513,zip_derived_cl61,zip_derived_cl554,zip_derived_cl312]) ).
thf(zip_derived_cl18_4652,plain,
sk__2 != n7,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('599',plain,
( ( sk__1 != n18 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14082,zip_derived_cl18]) ).
thf(zip_derived_cl1098_4653,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_4654,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6518,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_cl1098,zip_derived_cl6501]) ).
thf(zip_derived_cl513_4655,plain,
( ( sum @ n16 @ n18 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4656,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl512_4657,plain,
( ( sum @ n16 @ n17 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4658,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl527_4659,plain,
( ( sum @ n17 @ n6 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl284_4660,plain,
( ( sum @ n7 @ n23 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13968,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n16 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6518,zip_derived_cl513,zip_derived_cl61,zip_derived_cl512,zip_derived_cl60,zip_derived_cl527,zip_derived_cl284]) ).
thf(zip_derived_cl21_4661,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('600',plain,
( ( sk_ != n16 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13968,zip_derived_cl21]) ).
thf(zip_derived_cl1098_4662,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_4663,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6286,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_cl1098,zip_derived_cl6269]) ).
thf(zip_derived_cl509_4664,plain,
( ( sum @ n16 @ n14 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4665,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl508_4666,plain,
( ( sum @ n16 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4667,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl419_4668,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl172_4669,plain,
( ( sum @ n3 @ n15 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13510,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n16 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6286,zip_derived_cl509,zip_derived_cl57,zip_derived_cl508,zip_derived_cl56,zip_derived_cl419,zip_derived_cl172]) ).
thf(zip_derived_cl7_4670,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('601',plain,
( ( sk_ != n16 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13510,zip_derived_cl7]) ).
thf(zip_derived_cl1098_4671,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_4672,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5193,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n16 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n16 @ n12 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl5176]) ).
thf(zip_derived_cl508_4673,plain,
( ( sum @ n16 @ n13 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4674,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507_4675,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4676,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl392_4677,plain,
( ( sum @ n12 @ n1 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl144_4678,plain,
( ( sum @ n2 @ n13 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12670,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n16 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5193,zip_derived_cl508,zip_derived_cl56,zip_derived_cl507,zip_derived_cl55,zip_derived_cl392,zip_derived_cl144]) ).
thf(zip_derived_cl10_4679,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('602',plain,
( ( sk_ != n16 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12670,zip_derived_cl10]) ).
thf(zip_derived_cl1098_4680,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_4681,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4785,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_cl1098,zip_derived_cl4768]) ).
thf(zip_derived_cl507_4682,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_4683,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506_4684,plain,
( ( sum @ n16 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4685,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl365_4686,plain,
( ( sum @ n11 @ n0 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_4687,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12318,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n16 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4785,zip_derived_cl507,zip_derived_cl55,zip_derived_cl506,zip_derived_cl54,zip_derived_cl365,zip_derived_cl116]) ).
thf(zip_derived_cl13_4688,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('603',plain,
( ( sk__1 != n11 )
| ( sk_ != n16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12318,zip_derived_cl13]) ).
thf(zip_derived_cl497_4689,plain,
( ( sum @ n16 @ n2 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1098_4690,plain,
( ( sk_ = n16 )
<= ( sk_ = n16 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4691,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2026,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_cl1098,zip_derived_cl2009]) ).
thf(zip_derived_cl10407,plain,
( ( sk__2
= ( sum @ ( pred @ n18 ) @ ( sum @ n1 @ ( pred @ ( sum @ n16 @ n1 ) ) ) ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl497,zip_derived_cl2026]) ).
thf(zip_derived_cl71_4692,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl496_4693,plain,
( ( sum @ n16 @ n1 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4694,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl121_4695,plain,
( ( sum @ n1 @ n16 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10410,plain,
( ( sk__2
= ( sum @ n17 @ n17 ) )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10407,zip_derived_cl71,zip_derived_cl496,zip_derived_cl70,zip_derived_cl121]) ).
thf(zip_derived_cl538_4696,plain,
( ( sum @ n17 @ n17 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10616,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n16 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10410,zip_derived_cl538]) ).
thf(zip_derived_cl17_4697,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('604',plain,
( ( sk_ != n16 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10616,zip_derived_cl17]) ).
thf(zip_derived_cl1106_4698,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4699,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6835,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_cl1106,zip_derived_cl6810]) ).
thf(zip_derived_cl726_4700,plain,
( ( sum @ n24 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_4701,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl725_4702,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4703,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl670_4704,plain,
( ( sum @ n22 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl614_4705,plain,
( ( sum @ n20 @ n15 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14558,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n24 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6835,zip_derived_cl726,zip_derived_cl74,zip_derived_cl725,zip_derived_cl73,zip_derived_cl670,zip_derived_cl614]) ).
thf(zip_derived_cl16_4706,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('605',plain,
( ( sk__1 != n22 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14558,zip_derived_cl16]) ).
thf(zip_derived_cl1104_4707,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4708,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6833,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_cl1104,zip_derived_cl6810]) ).
thf(zip_derived_cl674_4709,plain,
( ( sum @ n22 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4710,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl673_4711,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4712,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668_4713,plain,
( ( sum @ n22 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560,plain,
( ( sum @ n18 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14552,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n22 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6833,zip_derived_cl674,zip_derived_cl72,zip_derived_cl673,zip_derived_cl71,zip_derived_cl668,zip_derived_cl560]) ).
thf(zip_derived_cl20_4714,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('606',plain,
( ( sk__1 != n22 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14552,zip_derived_cl20]) ).
thf(zip_derived_cl1103_4715,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4716,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6832,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_cl1103,zip_derived_cl6810]) ).
thf(zip_derived_cl648_4717,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4718,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl647_4719,plain,
( ( sum @ n21 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4720,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl667_4721,plain,
( ( sum @ n22 @ n16 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533_4722,plain,
( ( sum @ n17 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14550,plain,
( ( sk__2 = n3 )
<= ( ( sk_ = n21 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6832,zip_derived_cl648,zip_derived_cl71,zip_derived_cl647,zip_derived_cl70,zip_derived_cl667,zip_derived_cl533]) ).
thf(zip_derived_cl22_4723,plain,
sk__2 != n3,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('607',plain,
( ( sk__1 != n22 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14550,zip_derived_cl22]) ).
thf(zip_derived_cl1102_4724,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4725,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6831,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_cl1102,zip_derived_cl6810]) ).
thf(zip_derived_cl622_4726,plain,
( ( sum @ n20 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4727,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl621_4728,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4729,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl666_4730,plain,
( ( sum @ n22 @ n15 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl506_4731,plain,
( ( sum @ n16 @ n11 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14548,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n20 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6831,zip_derived_cl622,zip_derived_cl70,zip_derived_cl621,zip_derived_cl69,zip_derived_cl666,zip_derived_cl506]) ).
thf(zip_derived_cl24_4732,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('608',plain,
( ( sk__1 != n22 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14548,zip_derived_cl24]) ).
thf(zip_derived_cl1101_4733,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4734,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6830,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_cl1101,zip_derived_cl6810]) ).
thf(zip_derived_cl596_4735,plain,
( ( sum @ n19 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4736,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl595_4737,plain,
( ( sum @ n19 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4738,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl665_4739,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl479_4740,plain,
( ( sum @ n15 @ n10 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14546,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n19 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6830,zip_derived_cl596,zip_derived_cl69,zip_derived_cl595,zip_derived_cl68,zip_derived_cl665,zip_derived_cl479]) ).
thf(zip_derived_cl0_4741,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('609',plain,
( ( sk__1 != n22 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14546,zip_derived_cl0]) ).
thf(zip_derived_cl1100_4742,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4743,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6829,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_cl1100,zip_derived_cl6810]) ).
thf(zip_derived_cl570_4744,plain,
( ( sum @ n18 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4745,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl569_4746,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4747,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664_4748,plain,
( ( sum @ n22 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl452_4749,plain,
( ( sum @ n14 @ n9 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14544,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n18 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6829,zip_derived_cl570,zip_derived_cl68,zip_derived_cl569,zip_derived_cl67,zip_derived_cl664,zip_derived_cl452]) ).
thf(zip_derived_cl2_4750,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('610',plain,
( ( sk__1 != n22 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14544,zip_derived_cl2]) ).
thf(zip_derived_cl1095_4751,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4752,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6824,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_cl1095,zip_derived_cl6810]) ).
thf(zip_derived_cl440_4753,plain,
( ( sum @ n13 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4754,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl439_4755,plain,
( ( sum @ n13 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4756,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl659_4757,plain,
( ( sum @ n22 @ n8 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl317_4758,plain,
( ( sum @ n9 @ n4 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14532,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n13 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6824,zip_derived_cl440,zip_derived_cl63,zip_derived_cl439,zip_derived_cl62,zip_derived_cl659,zip_derived_cl317]) ).
thf(zip_derived_cl12_4759,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('611',plain,
( ( sk__1 != n22 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14532,zip_derived_cl12]) ).
thf(zip_derived_cl1093_4760,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6810_4761,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n23 ) ) @ ( sum @ n22 @ ( pred @ ( sum @ sk_ @ n22 ) ) ) ) )
<= ( sk__1 = n22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1848,zip_derived_cl49]) ).
thf(zip_derived_cl6822,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_cl1093,zip_derived_cl6810]) ).
thf(zip_derived_cl388,plain,
( ( sum @ n11 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4762,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl387_4763,plain,
( ( sum @ n11 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4764,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl657_4765,plain,
( ( sum @ n22 @ n6 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl263_4766,plain,
( ( sum @ n7 @ n2 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14528,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n11 )
& ( sk__1 = n22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6822,zip_derived_cl388,zip_derived_cl61,zip_derived_cl387,zip_derived_cl60,zip_derived_cl657,zip_derived_cl263]) ).
thf(zip_derived_cl16_4767,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('612',plain,
( ( sk__1 != n22 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14528,zip_derived_cl16]) ).
thf(zip_derived_cl1095_4768,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_4769,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6879,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_cl1095,zip_derived_cl6865]) ).
thf(zip_derived_cl441_4770,plain,
( ( sum @ n13 @ n24 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4771,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_4772,plain,
( ( sum @ n13 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4773,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl686_4774,plain,
( ( sum @ n23 @ n9 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl345_4775,plain,
( ( sum @ n10 @ n6 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14648,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n13 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6879,zip_derived_cl441,zip_derived_cl64,zip_derived_cl440,zip_derived_cl63,zip_derived_cl686,zip_derived_cl345]) ).
thf(zip_derived_cl9_4776,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('613',plain,
( ( sk_ != n13 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14648,zip_derived_cl9]) ).
thf(zip_derived_cl1095_4777,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4778,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6745,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_cl1095,zip_derived_cl6731]) ).
thf(zip_derived_cl439_4779,plain,
( ( sum @ n13 @ n22 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4780,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl438_4781,plain,
( ( sum @ n13 @ n21 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_4782,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl632_4783,plain,
( ( sum @ n21 @ n7 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl289_4784,plain,
( ( sum @ n8 @ n2 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14418,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n13 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6745,zip_derived_cl439,zip_derived_cl62,zip_derived_cl438,zip_derived_cl61,zip_derived_cl632,zip_derived_cl289]) ).
thf(zip_derived_cl15_4785,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('614',plain,
( ( sk_ != n13 )
| ( sk__1 != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14418,zip_derived_cl15]) ).
thf(zip_derived_cl1095_4786,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_4787,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6575,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_cl1095,zip_derived_cl6561]) ).
thf(zip_derived_cl436_4788,plain,
( ( sum @ n13 @ n19 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4789,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl435_4790,plain,
( ( sum @ n13 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4791,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl551_4792,plain,
( ( sum @ n18 @ n4 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl231_4793,plain,
( ( sum @ n5 @ n22 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14076,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n13 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6575,zip_derived_cl436,zip_derived_cl59,zip_derived_cl435,zip_derived_cl58,zip_derived_cl551,zip_derived_cl231]) ).
thf(zip_derived_cl24_4794,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('615',plain,
( ( sk__1 != n18 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14076,zip_derived_cl24]) ).
thf(zip_derived_cl1095_4795,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_4796,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6515,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_cl1095,zip_derived_cl6501]) ).
thf(zip_derived_cl435_4797,plain,
( ( sum @ n13 @ n18 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4798,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl434_4799,plain,
( ( sum @ n13 @ n17 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4800,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl524_4801,plain,
( ( sum @ n17 @ n3 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl203_4802,plain,
( ( sum @ n4 @ n20 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13960,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n13 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6515,zip_derived_cl435,zip_derived_cl58,zip_derived_cl434,zip_derived_cl57,zip_derived_cl524,zip_derived_cl203]) ).
thf(zip_derived_cl1_4803,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('616',plain,
( ( sk_ != n13 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13960,zip_derived_cl1]) ).
thf(zip_derived_cl1095_4804,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_4805,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6283,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_cl1095,zip_derived_cl6269]) ).
thf(zip_derived_cl431_4806,plain,
( ( sum @ n13 @ n14 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl54_4807,plain,
( ( pred @ n1 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl430_4808,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4809,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl442_4810,plain,
( ( sum @ n13 @ n25 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl91_4811,plain,
( ( sum @ n0 @ n12 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13504,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n13 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6283,zip_derived_cl431,zip_derived_cl54,zip_derived_cl430,zip_derived_cl53,zip_derived_cl442,zip_derived_cl91]) ).
thf(zip_derived_cl13_4812,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('617',plain,
( ( sk_ != n13 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13504,zip_derived_cl13]) ).
thf(zip_derived_cl1095_4813,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_4814,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5190,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_cl1095,zip_derived_cl5176]) ).
thf(zip_derived_cl430_4815,plain,
( ( sum @ n13 @ n13 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl53_4816,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl429_4817,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4818,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl415_4819,plain,
( ( sum @ n12 @ n24 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl739_4820,plain,
( ( sum @ n25 @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12662,plain,
( ( sk__2 = n9 )
<= ( ( sk_ = n13 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5190,zip_derived_cl430,zip_derived_cl53,zip_derived_cl429,zip_derived_cl78,zip_derived_cl415,zip_derived_cl739]) ).
thf(zip_derived_cl16_4821,plain,
sk__2 != n9,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('618',plain,
( ( sk_ != n13 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12662,zip_derived_cl16]) ).
thf(zip_derived_cl1095_4822,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_4823,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4782,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_cl1095,zip_derived_cl4768]) ).
thf(zip_derived_cl429_4824,plain,
( ( sum @ n13 @ n12 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4825,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl428_4826,plain,
( ( sum @ n13 @ n11 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_4827,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_4828,plain,
( ( sum @ n11 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl711_4829,plain,
( ( sum @ n24 @ n8 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12310,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n13 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4782,zip_derived_cl429,zip_derived_cl78,zip_derived_cl428,zip_derived_cl77,zip_derived_cl388,zip_derived_cl711]) ).
thf(zip_derived_cl19_4830,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('619',plain,
( ( sk__1 != n11 )
| ( sk_ != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12310,zip_derived_cl19]) ).
thf(zip_derived_cl419_4831,plain,
( ( sum @ n13 @ n2 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1095_4832,plain,
( ( sk_ = n13 )
<= ( sk_ = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4833,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2023,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_cl1095,zip_derived_cl2009]) ).
thf(zip_derived_cl10076,plain,
( ( sk__2
= ( sum @ ( pred @ n15 ) @ ( sum @ n1 @ ( pred @ ( sum @ n13 @ n1 ) ) ) ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl2023]) ).
thf(zip_derived_cl68_4834,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl418_4835,plain,
( ( sum @ n13 @ n1 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4836,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl118_4837,plain,
( ( sum @ n1 @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10079,plain,
( ( sk__2
= ( sum @ n14 @ n14 ) )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10076,zip_derived_cl68,zip_derived_cl418,zip_derived_cl67,zip_derived_cl118]) ).
thf(zip_derived_cl457_4838,plain,
( ( sum @ n14 @ n14 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10210,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n13 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10079,zip_derived_cl457]) ).
thf(zip_derived_cl23_4839,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('620',plain,
( ( sk_ != n13 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10210,zip_derived_cl23]) ).
thf(zip_derived_cl1106_4840,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4841,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6756,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_cl1106,zip_derived_cl6731]) ).
thf(zip_derived_cl725_4842,plain,
( ( sum @ n24 @ n22 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_4843,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl724_4844,plain,
( ( sum @ n24 @ n21 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4845,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643_4846,plain,
( ( sum @ n21 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586_4847,plain,
( ( sum @ n19 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14442,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n24 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6756,zip_derived_cl725,zip_derived_cl73,zip_derived_cl724,zip_derived_cl72,zip_derived_cl643,zip_derived_cl586]) ).
thf(zip_derived_cl19_4848,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('621',plain,
( ( sk__1 != n21 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14442,zip_derived_cl19]) ).
thf(zip_derived_cl1104_4849,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4850,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6754,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_cl1104,zip_derived_cl6731]) ).
thf(zip_derived_cl673_4851,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_4852,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl672_4853,plain,
( ( sum @ n22 @ n21 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4854,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl641_4855,plain,
( ( sum @ n21 @ n16 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532_4856,plain,
( ( sum @ n17 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14438,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n22 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6754,zip_derived_cl673,zip_derived_cl71,zip_derived_cl672,zip_derived_cl70,zip_derived_cl641,zip_derived_cl532]) ).
thf(zip_derived_cl23_4857,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('622',plain,
( ( sk__1 != n21 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14438,zip_derived_cl23]) ).
thf(zip_derived_cl1103_4858,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4859,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6753,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_cl1103,zip_derived_cl6731]) ).
thf(zip_derived_cl647_4860,plain,
( ( sum @ n21 @ n22 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_4861,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl646_4862,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4863,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl640_4864,plain,
( ( sum @ n21 @ n15 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl505_4865,plain,
( ( sum @ n16 @ n10 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14436,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n21 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6753,zip_derived_cl647,zip_derived_cl70,zip_derived_cl646,zip_derived_cl69,zip_derived_cl640,zip_derived_cl505]) ).
thf(zip_derived_cl25_4866,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('623',plain,
( ( sk__1 != n21 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14436,zip_derived_cl25]) ).
thf(zip_derived_cl1102_4867,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4868,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6752,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_cl1102,zip_derived_cl6731]) ).
thf(zip_derived_cl621_4869,plain,
( ( sum @ n20 @ n22 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4870,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl620_4871,plain,
( ( sum @ n20 @ n21 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4872,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl639_4873,plain,
( ( sum @ n21 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl478_4874,plain,
( ( sum @ n15 @ n9 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14434,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n20 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6752,zip_derived_cl621,zip_derived_cl69,zip_derived_cl620,zip_derived_cl68,zip_derived_cl639,zip_derived_cl478]) ).
thf(zip_derived_cl1_4875,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('624',plain,
( ( sk__1 != n21 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14434,zip_derived_cl1]) ).
thf(zip_derived_cl1101_4876,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4877,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6751,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_cl1101,zip_derived_cl6731]) ).
thf(zip_derived_cl595_4878,plain,
( ( sum @ n19 @ n22 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4879,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl594_4880,plain,
( ( sum @ n19 @ n21 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4881,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638_4882,plain,
( ( sum @ n21 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl451_4883,plain,
( ( sum @ n14 @ n8 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14432,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n19 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6751,zip_derived_cl595,zip_derived_cl68,zip_derived_cl594,zip_derived_cl67,zip_derived_cl638,zip_derived_cl451]) ).
thf(zip_derived_cl3_4884,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('625',plain,
( ( sk__1 != n21 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14432,zip_derived_cl3]) ).
thf(zip_derived_cl1100_4885,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4886,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6750,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_cl1100,zip_derived_cl6731]) ).
thf(zip_derived_cl569_4887,plain,
( ( sum @ n18 @ n22 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_4888,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl568_4889,plain,
( ( sum @ n18 @ n21 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_4890,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl637_4891,plain,
( ( sum @ n21 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_4892,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14430,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n18 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6750,zip_derived_cl569,zip_derived_cl67,zip_derived_cl568,zip_derived_cl66,zip_derived_cl637,zip_derived_cl424]) ).
thf(zip_derived_cl5_4893,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('626',plain,
( ( sk__1 != n21 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14430,zip_derived_cl5]) ).
thf(zip_derived_cl1093_4894,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6731_4895,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n22 ) ) @ ( sum @ n21 @ ( pred @ ( sum @ sk_ @ n21 ) ) ) ) )
<= ( sk__1 = n21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1824,zip_derived_cl48]) ).
thf(zip_derived_cl6743,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_cl1093,zip_derived_cl6731]) ).
thf(zip_derived_cl387_4896,plain,
( ( sum @ n11 @ n22 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_4897,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl386_4898,plain,
( ( sum @ n11 @ n21 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4899,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl630_4900,plain,
( ( sum @ n21 @ n5 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl235_4901,plain,
( ( sum @ n6 @ n0 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14414,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n11 )
& ( sk__1 = n21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6743,zip_derived_cl387,zip_derived_cl60,zip_derived_cl386,zip_derived_cl59,zip_derived_cl630,zip_derived_cl235]) ).
thf(zip_derived_cl19_4902,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('627',plain,
( ( sk__1 != n21 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14414,zip_derived_cl19]) ).
thf(zip_derived_cl1100_4903,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_4904,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6884,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_cl1100,zip_derived_cl6865]) ).
thf(zip_derived_cl571_4905,plain,
( ( sum @ n18 @ n24 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_4906,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl570_4907,plain,
( ( sum @ n18 @ n23 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_4908,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl691_4909,plain,
( ( sum @ n23 @ n14 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl480_4910,plain,
( ( sum @ n15 @ n11 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14658,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n18 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6884,zip_derived_cl571,zip_derived_cl69,zip_derived_cl570,zip_derived_cl68,zip_derived_cl691,zip_derived_cl480]) ).
thf(zip_derived_cl25_4911,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('628',plain,
( ( sk_ != n18 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14658,zip_derived_cl25]) ).
thf(zip_derived_cl1100_4912,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_4913,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6580,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_cl1100,zip_derived_cl6561]) ).
thf(zip_derived_cl566_4914,plain,
( ( sum @ n18 @ n19 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_4915,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl565_4916,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4917,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl556_4918,plain,
( ( sum @ n18 @ n9 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl340_4919,plain,
( ( sum @ n10 @ n1 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14086,plain,
( ( sk__2 = n11 )
<= ( ( sk_ = n18 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6580,zip_derived_cl566,zip_derived_cl64,zip_derived_cl565,zip_derived_cl63,zip_derived_cl556,zip_derived_cl340]) ).
thf(zip_derived_cl14_4920,plain,
sk__2 != n11,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('629',plain,
( ( sk__1 != n18 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14086,zip_derived_cl14]) ).
thf(zip_derived_cl1100_4921,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_4922,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6520,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_cl1100,zip_derived_cl6501]) ).
thf(zip_derived_cl565_4923,plain,
( ( sum @ n18 @ n18 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_4924,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl564_4925,plain,
( ( sum @ n18 @ n17 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_4926,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl529_4927,plain,
( ( sum @ n17 @ n8 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl338_4928,plain,
( ( sum @ n9 @ n25 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13972,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n18 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6520,zip_derived_cl565,zip_derived_cl63,zip_derived_cl564,zip_derived_cl62,zip_derived_cl529,zip_derived_cl338]) ).
thf(zip_derived_cl17_4929,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('630',plain,
( ( sk_ != n18 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13972,zip_derived_cl17]) ).
thf(zip_derived_cl1100_4930,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_4931,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6288,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_cl1100,zip_derived_cl6269]) ).
thf(zip_derived_cl561_4932,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_4933,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560_4934,plain,
( ( sum @ n18 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4935,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_4936,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl226_4937,plain,
( ( sum @ n5 @ n17 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13514,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n18 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6288,zip_derived_cl561,zip_derived_cl59,zip_derived_cl560,zip_derived_cl58,zip_derived_cl421,zip_derived_cl226]) ).
thf(zip_derived_cl3_4938,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('631',plain,
( ( sk_ != n18 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13514,zip_derived_cl3]) ).
thf(zip_derived_cl1100_4939,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_4940,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5195,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n18 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n18 @ n12 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1100,zip_derived_cl5176]) ).
thf(zip_derived_cl560_4941,plain,
( ( sum @ n18 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_4942,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559_4943,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4944,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_4945,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl198_4946,plain,
( ( sum @ n4 @ n15 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12674,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n18 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5195,zip_derived_cl560,zip_derived_cl58,zip_derived_cl559,zip_derived_cl57,zip_derived_cl394,zip_derived_cl198]) ).
thf(zip_derived_cl6_4947,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('632',plain,
( ( sk_ != n18 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12674,zip_derived_cl6]) ).
thf(zip_derived_cl1100_4948,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_4949,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4787,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_cl1100,zip_derived_cl4768]) ).
thf(zip_derived_cl559_4950,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_4951,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558_4952,plain,
( ( sum @ n18 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_4953,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_4954,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl170_4955,plain,
( ( sum @ n3 @ n13 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12322,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n18 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4787,zip_derived_cl559,zip_derived_cl57,zip_derived_cl558,zip_derived_cl56,zip_derived_cl367,zip_derived_cl170]) ).
thf(zip_derived_cl9_4956,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('633',plain,
( ( sk__1 != n11 )
| ( sk_ != n18 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12322,zip_derived_cl9]) ).
thf(zip_derived_cl549_4957,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1100_4958,plain,
( ( sk_ = n18 )
<= ( sk_ = n18 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4959,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2028,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_cl1100,zip_derived_cl2009]) ).
thf(zip_derived_cl10688,plain,
( ( sk__2
= ( sum @ ( pred @ n20 ) @ ( sum @ n1 @ ( pred @ ( sum @ n18 @ n1 ) ) ) ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl549,zip_derived_cl2028]) ).
thf(zip_derived_cl73_4960,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl548_4961,plain,
( ( sum @ n18 @ n1 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_4962,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl123_4963,plain,
( ( sum @ n1 @ n18 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10691,plain,
( ( sk__2
= ( sum @ n19 @ n19 ) )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10688,zip_derived_cl73,zip_derived_cl548,zip_derived_cl72,zip_derived_cl123]) ).
thf(zip_derived_cl592_4964,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10937,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n18 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10691,zip_derived_cl592]) ).
thf(zip_derived_cl13_4965,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('634',plain,
( ( sk_ != n18 )
| ( sk__1 != n1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10937,zip_derived_cl13]) ).
thf(zip_derived_cl705_4966,plain,
( ( sum @ n24 @ n2 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1106_4967,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4968,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2034,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_cl1106,zip_derived_cl2009]) ).
thf(zip_derived_cl11758,plain,
( ( sk__2
= ( sum @ ( pred @ n0 ) @ ( sum @ n1 @ ( pred @ ( sum @ n24 @ n1 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl705,zip_derived_cl2034]) ).
thf(zip_derived_cl53_4969,plain,
( ( pred @ n0 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl704_4970,plain,
( ( sum @ n24 @ n1 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_4971,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl129_4972,plain,
( ( sum @ n1 @ n24 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11763,plain,
( ( sk__2
= ( sum @ n25 @ n25 ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11758,zip_derived_cl53,zip_derived_cl704,zip_derived_cl78,zip_derived_cl129]) ).
thf(zip_derived_cl754_4973,plain,
( ( sum @ n25 @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12138,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n24 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11763,zip_derived_cl754]) ).
thf(zip_derived_cl1_4974,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('635',plain,
( ( sk__1 != n1 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12138,zip_derived_cl1]) ).
thf(zip_derived_cl653_4975,plain,
( ( sum @ n22 @ n2 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1104_4976,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4977,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2032,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_cl1104,zip_derived_cl2009]) ).
thf(zip_derived_cl11361,plain,
( ( sk__2
= ( sum @ ( pred @ n24 ) @ ( sum @ n1 @ ( pred @ ( sum @ n22 @ n1 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl2032]) ).
thf(zip_derived_cl77_4978,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl652_4979,plain,
( ( sum @ n22 @ n1 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_4980,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl127_4981,plain,
( ( sum @ n1 @ n22 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11365,plain,
( ( sk__2
= ( sum @ n23 @ n23 ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11361,zip_derived_cl77,zip_derived_cl652,zip_derived_cl76,zip_derived_cl127]) ).
thf(zip_derived_cl700_4982,plain,
( ( sum @ n23 @ n23 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11712,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n22 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11365,zip_derived_cl700]) ).
thf(zip_derived_cl5_4983,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('636',plain,
( ( sk__1 != n1 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11712,zip_derived_cl5]) ).
thf(zip_derived_cl627_4984,plain,
( ( sum @ n21 @ n2 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1103_4985,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4986,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2031,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_cl1103,zip_derived_cl2009]) ).
thf(zip_derived_cl11175,plain,
( ( sk__2
= ( sum @ ( pred @ n23 ) @ ( sum @ n1 @ ( pred @ ( sum @ n21 @ n1 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl2031]) ).
thf(zip_derived_cl76_4987,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl626_4988,plain,
( ( sum @ n21 @ n1 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_4989,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl126_4990,plain,
( ( sum @ n1 @ n21 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11179,plain,
( ( sk__2
= ( sum @ n22 @ n22 ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11175,zip_derived_cl76,zip_derived_cl626,zip_derived_cl75,zip_derived_cl126]) ).
thf(zip_derived_cl673_4991,plain,
( ( sum @ n22 @ n22 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11502,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n21 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11179,zip_derived_cl673]) ).
thf(zip_derived_cl7_4992,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('637',plain,
( ( sk__1 != n1 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11502,zip_derived_cl7]) ).
thf(zip_derived_cl601_4993,plain,
( ( sum @ n20 @ n2 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1102_4994,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_4995,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2030,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_cl1102,zip_derived_cl2009]) ).
thf(zip_derived_cl10998,plain,
( ( sk__2
= ( sum @ ( pred @ n22 ) @ ( sum @ n1 @ ( pred @ ( sum @ n20 @ n1 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl601,zip_derived_cl2030]) ).
thf(zip_derived_cl75_4996,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl600_4997,plain,
( ( sum @ n20 @ n1 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_4998,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl125_4999,plain,
( ( sum @ n1 @ n20 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11001,plain,
( ( sk__2
= ( sum @ n21 @ n21 ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10998,zip_derived_cl75,zip_derived_cl600,zip_derived_cl74,zip_derived_cl125]) ).
thf(zip_derived_cl646_5000,plain,
( ( sum @ n21 @ n21 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11310,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n20 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11001,zip_derived_cl646]) ).
thf(zip_derived_cl9_5001,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('638',plain,
( ( sk__1 != n1 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11310,zip_derived_cl9]) ).
thf(zip_derived_cl575_5002,plain,
( ( sum @ n19 @ n2 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1101_5003,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_5004,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2029,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_cl1101,zip_derived_cl2009]) ).
thf(zip_derived_cl10855,plain,
( ( sk__2
= ( sum @ ( pred @ n21 ) @ ( sum @ n1 @ ( pred @ ( sum @ n19 @ n1 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl575,zip_derived_cl2029]) ).
thf(zip_derived_cl74_5005,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl574_5006,plain,
( ( sum @ n19 @ n1 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5007,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl124_5008,plain,
( ( sum @ n1 @ n19 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10858,plain,
( ( sk__2
= ( sum @ n20 @ n20 ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10855,zip_derived_cl74,zip_derived_cl574,zip_derived_cl73,zip_derived_cl124]) ).
thf(zip_derived_cl619_5009,plain,
( ( sum @ n20 @ n20 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl11102,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n19 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10858,zip_derived_cl619]) ).
thf(zip_derived_cl11_5010,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('639',plain,
( ( sk__1 != n1 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11102,zip_derived_cl11]) ).
thf(zip_derived_cl367_5011,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl1093_5012,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl2009_5013,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n2 ) ) @ ( sum @ n1 @ ( pred @ ( sum @ sk_ @ n1 ) ) ) ) )
<= ( sk__1 = n1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl28]) ).
thf(zip_derived_cl2021,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_cl1093,zip_derived_cl2009]) ).
thf(zip_derived_cl9923,plain,
( ( sk__2
= ( sum @ ( pred @ n13 ) @ ( sum @ n1 @ ( pred @ ( sum @ n11 @ n1 ) ) ) ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl2021]) ).
thf(zip_derived_cl66_5014,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_5015,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5016,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl116_5017,plain,
( ( sum @ n1 @ n11 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl9925,plain,
( ( sk__2
= ( sum @ n12 @ n12 ) )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9923,zip_derived_cl66,zip_derived_cl366,zip_derived_cl65,zip_derived_cl116]) ).
thf(zip_derived_cl403_5018,plain,
( ( sum @ n12 @ n12 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl10017,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n11 )
& ( sk__1 = n1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9925,zip_derived_cl403]) ).
thf(zip_derived_cl1_5019,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('640',plain,
( ( sk__1 != n1 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10017,zip_derived_cl1]) ).
thf(zip_derived_cl1102_5020,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_5021,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6886,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_cl1102,zip_derived_cl6865]) ).
thf(zip_derived_cl623_5022,plain,
( ( sum @ n20 @ n24 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5023,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl622_5024,plain,
( ( sum @ n20 @ n23 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5025,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl693_5026,plain,
( ( sum @ n23 @ n16 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl534_5027,plain,
( ( sum @ n17 @ n13 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14662,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n20 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6886,zip_derived_cl623,zip_derived_cl71,zip_derived_cl622,zip_derived_cl70,zip_derived_cl693,zip_derived_cl534]) ).
thf(zip_derived_cl21_5028,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('641',plain,
( ( sk_ != n20 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14662,zip_derived_cl21]) ).
thf(zip_derived_cl1102_5029,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_5030,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6582,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_cl1102,zip_derived_cl6561]) ).
thf(zip_derived_cl618_5031,plain,
( ( sum @ n20 @ n19 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5032,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl617_5033,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5034,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl558_5035,plain,
( ( sum @ n18 @ n11 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl394_5036,plain,
( ( sum @ n12 @ n3 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14090,plain,
( ( sk__2 = n15 )
<= ( ( sk_ = n20 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6582,zip_derived_cl618,zip_derived_cl66,zip_derived_cl617,zip_derived_cl65,zip_derived_cl558,zip_derived_cl394]) ).
thf(zip_derived_cl10_5037,plain,
sk__2 != n15,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('642',plain,
( ( sk__1 != n18 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14090,zip_derived_cl10]) ).
thf(zip_derived_cl1102_5038,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_5039,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6522,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_cl1102,zip_derived_cl6501]) ).
thf(zip_derived_cl617_5040,plain,
( ( sum @ n20 @ n18 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5041,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl616_5042,plain,
( ( sum @ n20 @ n17 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5043,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl531_5044,plain,
( ( sum @ n17 @ n10 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl366_5045,plain,
( ( sum @ n11 @ n1 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13976,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n20 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6522,zip_derived_cl617,zip_derived_cl65,zip_derived_cl616,zip_derived_cl64,zip_derived_cl531,zip_derived_cl366]) ).
thf(zip_derived_cl13_5046,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('643',plain,
( ( sk_ != n20 )
| ( sk__1 != n17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13976,zip_derived_cl13]) ).
thf(zip_derived_cl1102_5047,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_5048,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6290,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n20 @ n13 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1102,zip_derived_cl6269]) ).
thf(zip_derived_cl613_5049,plain,
( ( sum @ n20 @ n14 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_5050,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl612_5051,plain,
( ( sum @ n20 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_5052,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl423_5053,plain,
( ( sum @ n13 @ n6 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl280_5054,plain,
( ( sum @ n7 @ n19 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13518,plain,
( ( sk__2 = n0 )
<= ( ( sk_ = n20 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6290,zip_derived_cl613,zip_derived_cl61,zip_derived_cl612,zip_derived_cl60,zip_derived_cl423,zip_derived_cl280]) ).
thf(zip_derived_cl25_5055,plain,
sk__2 != n0,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('644',plain,
( ( sk_ != n20 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13518,zip_derived_cl25]) ).
thf(zip_derived_cl1102_5056,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_5057,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5197,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n20 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n20 @ n12 ) ) ) ) )
<= ( ( sk_ = n20 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1102,zip_derived_cl5176]) ).
thf(zip_derived_cl612_5058,plain,
( ( sum @ n20 @ n13 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_5059,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl611_5060,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_5061,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl396_5062,plain,
( ( sum @ n12 @ n5 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl252_5063,plain,
( ( sum @ n6 @ n17 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12678,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n20 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5197,zip_derived_cl612,zip_derived_cl60,zip_derived_cl611,zip_derived_cl59,zip_derived_cl396,zip_derived_cl252]) ).
thf(zip_derived_cl2_5064,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('645',plain,
( ( sk_ != n20 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12678,zip_derived_cl2]) ).
thf(zip_derived_cl1102_5065,plain,
( ( sk_ = n20 )
<= ( sk_ = n20 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_5066,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4789,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_cl1102,zip_derived_cl4768]) ).
thf(zip_derived_cl611_5067,plain,
( ( sum @ n20 @ n12 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_5068,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl610_5069,plain,
( ( sum @ n20 @ n11 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_5070,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl369_5071,plain,
( ( sum @ n11 @ n4 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl224_5072,plain,
( ( sum @ n5 @ n15 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12326,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n20 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4789,zip_derived_cl611,zip_derived_cl59,zip_derived_cl610,zip_derived_cl58,zip_derived_cl369,zip_derived_cl224]) ).
thf(zip_derived_cl5_5073,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('646',plain,
( ( sk__1 != n11 )
| ( sk_ != n20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12326,zip_derived_cl5]) ).
thf(zip_derived_cl1106_5074,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_5075,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6526,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_cl1106,zip_derived_cl6501]) ).
thf(zip_derived_cl721_5076,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5077,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl720_5078,plain,
( ( sum @ n24 @ n17 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5079,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl535_5080,plain,
( ( sum @ n17 @ n14 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl474_5081,plain,
( ( sum @ n15 @ n5 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13986,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n24 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6526,zip_derived_cl721,zip_derived_cl69,zip_derived_cl720,zip_derived_cl68,zip_derived_cl535,zip_derived_cl474]) ).
thf(zip_derived_cl5_5082,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('647',plain,
( ( sk__1 != n17 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13986,zip_derived_cl5]) ).
thf(zip_derived_cl1104_5083,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_5084,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6524,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_cl1104,zip_derived_cl6501]) ).
thf(zip_derived_cl669_5085,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5086,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl668_5087,plain,
( ( sum @ n22 @ n17 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5088,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl533_5089,plain,
( ( sum @ n17 @ n12 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl420_5090,plain,
( ( sum @ n13 @ n3 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13980,plain,
( ( sk__2 = n16 )
<= ( ( sk_ = n22 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6524,zip_derived_cl669,zip_derived_cl67,zip_derived_cl668,zip_derived_cl66,zip_derived_cl533,zip_derived_cl420]) ).
thf(zip_derived_cl9_5091,plain,
sk__2 != n16,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('648',plain,
( ( sk__1 != n17 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13980,zip_derived_cl9]) ).
thf(zip_derived_cl1103_5092,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_5093,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6523,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_cl1103,zip_derived_cl6501]) ).
thf(zip_derived_cl643_5094,plain,
( ( sum @ n21 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5095,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_5096,plain,
( ( sum @ n21 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5097,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl532_5098,plain,
( ( sum @ n17 @ n11 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl393_5099,plain,
( ( sum @ n12 @ n2 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13978,plain,
( ( sk__2 = n14 )
<= ( ( sk_ = n21 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6523,zip_derived_cl643,zip_derived_cl66,zip_derived_cl642,zip_derived_cl65,zip_derived_cl532,zip_derived_cl393]) ).
thf(zip_derived_cl11_5100,plain,
sk__2 != n14,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('649',plain,
( ( sk__1 != n17 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13978,zip_derived_cl11]) ).
thf(zip_derived_cl1101_5101,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_5102,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6521,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_cl1101,zip_derived_cl6501]) ).
thf(zip_derived_cl591_5103,plain,
( ( sum @ n19 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5104,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl590_5105,plain,
( ( sum @ n19 @ n17 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5106,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl530_5107,plain,
( ( sum @ n17 @ n9 )
= n0 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl339_5108,plain,
( ( sum @ n10 @ n0 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13974,plain,
( ( sk__2 = n10 )
<= ( ( sk_ = n19 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6521,zip_derived_cl591,zip_derived_cl64,zip_derived_cl590,zip_derived_cl63,zip_derived_cl530,zip_derived_cl339]) ).
thf(zip_derived_cl15_5109,plain,
sk__2 != n10,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('650',plain,
( ( sk__1 != n17 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13974,zip_derived_cl15]) ).
thf(zip_derived_cl1093_5110,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6501_5111,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n18 ) ) @ ( sum @ n17 @ ( pred @ ( sum @ sk_ @ n17 ) ) ) ) )
<= ( sk__1 = n17 ) ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl44]) ).
thf(zip_derived_cl6513,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_cl1093,zip_derived_cl6501]) ).
thf(zip_derived_cl383_5112,plain,
( ( sum @ n11 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_5113,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl382_5114,plain,
( ( sum @ n11 @ n17 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl55_5115,plain,
( ( pred @ n2 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl522_5116,plain,
( ( sum @ n17 @ n1 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl149_5117,plain,
( ( sum @ n2 @ n18 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13956,plain,
( ( sk__2 = n20 )
<= ( ( sk_ = n11 )
& ( sk__1 = n17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6513,zip_derived_cl383,zip_derived_cl56,zip_derived_cl382,zip_derived_cl55,zip_derived_cl522,zip_derived_cl149]) ).
thf(zip_derived_cl5_5118,plain,
sk__2 != n20,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('651',plain,
( ( sk__1 != n17 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13956,zip_derived_cl5]) ).
thf(zip_derived_cl1103_5119,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_5120,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6887,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_cl1103,zip_derived_cl6865]) ).
thf(zip_derived_cl649_5121,plain,
( ( sum @ n21 @ n24 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5122,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl648_5123,plain,
( ( sum @ n21 @ n23 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl71_5124,plain,
( ( pred @ n18 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl694_5125,plain,
( ( sum @ n23 @ n17 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl561_5126,plain,
( ( sum @ n18 @ n14 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14664,plain,
( ( sk__2 = n6 )
<= ( ( sk_ = n21 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6887,zip_derived_cl649,zip_derived_cl72,zip_derived_cl648,zip_derived_cl71,zip_derived_cl694,zip_derived_cl561]) ).
thf(zip_derived_cl19_5127,plain,
sk__2 != n6,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('652',plain,
( ( sk_ != n21 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14664,zip_derived_cl19]) ).
thf(zip_derived_cl1103_5128,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_5129,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6583,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_cl1103,zip_derived_cl6561]) ).
thf(zip_derived_cl644_5130,plain,
( ( sum @ n21 @ n19 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5131,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl643_5132,plain,
( ( sum @ n21 @ n18 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl66_5133,plain,
( ( pred @ n13 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl559_5134,plain,
( ( sum @ n18 @ n12 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl421_5135,plain,
( ( sum @ n13 @ n4 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14092,plain,
( ( sk__2 = n17 )
<= ( ( sk_ = n21 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6583,zip_derived_cl644,zip_derived_cl67,zip_derived_cl643,zip_derived_cl66,zip_derived_cl559,zip_derived_cl421]) ).
thf(zip_derived_cl8_5136,plain,
sk__2 != n17,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('653',plain,
( ( sk__1 != n18 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14092,zip_derived_cl8]) ).
thf(zip_derived_cl1121_5137,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl1103_5138,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl26_5139,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_cl1596,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_cl1103,zip_derived_cl26]) ).
thf(zip_derived_cl5597,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_cl1121,zip_derived_cl1596]) ).
thf(zip_derived_cl40_5140,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5675,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_cl5597,zip_derived_cl40]) ).
thf(zip_derived_cl639_5141,plain,
( ( sum @ n21 @ n14 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_5142,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl638_5143,plain,
( ( sum @ n21 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_5144,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl424_5145,plain,
( ( sum @ n13 @ n7 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl307_5146,plain,
( ( sum @ n8 @ n20 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13034,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n21 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5675,zip_derived_cl639,zip_derived_cl62,zip_derived_cl638,zip_derived_cl61,zip_derived_cl424,zip_derived_cl307]) ).
thf(zip_derived_cl23_5147,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('654',plain,
( ( sk_ != n21 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13034,zip_derived_cl23]) ).
thf(zip_derived_cl1103_5148,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_5149,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5198,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n21 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n21 @ n12 ) ) ) ) )
<= ( ( sk_ = n21 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1103,zip_derived_cl5176]) ).
thf(zip_derived_cl638_5150,plain,
( ( sum @ n21 @ n13 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_5151,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl637_5152,plain,
( ( sum @ n21 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_5153,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl397_5154,plain,
( ( sum @ n12 @ n6 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl279_5155,plain,
( ( sum @ n7 @ n18 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12680,plain,
( ( sk__2 = n25 )
<= ( ( sk_ = n21 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5198,zip_derived_cl638,zip_derived_cl61,zip_derived_cl637,zip_derived_cl60,zip_derived_cl397,zip_derived_cl279]) ).
thf(zip_derived_cl0_5156,plain,
sk__2 != n25,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('655',plain,
( ( sk_ != n21 )
| ( sk__1 != n12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12680,zip_derived_cl0]) ).
thf(zip_derived_cl1103_5157,plain,
( ( sk_ = n21 )
<= ( sk_ = n21 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_5158,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4790,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_cl1103,zip_derived_cl4768]) ).
thf(zip_derived_cl637_5159,plain,
( ( sum @ n21 @ n12 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_5160,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl636_5161,plain,
( ( sum @ n21 @ n11 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_5162,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl370_5163,plain,
( ( sum @ n11 @ n5 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl251_5164,plain,
( ( sum @ n6 @ n16 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12328,plain,
( ( sk__2 = n22 )
<= ( ( sk_ = n21 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4790,zip_derived_cl637,zip_derived_cl60,zip_derived_cl636,zip_derived_cl59,zip_derived_cl370,zip_derived_cl251]) ).
thf(zip_derived_cl3_5165,plain,
sk__2 != n22,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('656',plain,
( ( sk__1 != n11 )
| ( sk_ != n21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12328,zip_derived_cl3]) ).
thf(zip_derived_cl1106_5166,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_5167,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5201,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n24 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n24 @ n12 ) ) ) ) )
<= ( ( sk_ = n24 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1106,zip_derived_cl5176]) ).
thf(zip_derived_cl716_5168,plain,
( ( sum @ n24 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5169,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl715_5170,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5171,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl400_5172,plain,
( ( sum @ n12 @ n9 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl360_5173,plain,
( ( sum @ n10 @ n21 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12688,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n24 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5201,zip_derived_cl716,zip_derived_cl64,zip_derived_cl715,zip_derived_cl63,zip_derived_cl400,zip_derived_cl360]) ).
thf(zip_derived_cl20_5174,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('657',plain,
( ( sk__1 != n12 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12688,zip_derived_cl20]) ).
thf(zip_derived_cl1104_5175,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_5176,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5199,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n22 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n22 @ n12 ) ) ) ) )
<= ( ( sk_ = n22 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1104,zip_derived_cl5176]) ).
thf(zip_derived_cl664_5177,plain,
( ( sum @ n22 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_5178,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl663_5179,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_5180,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl398_5181,plain,
( ( sum @ n12 @ n7 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl306_5182,plain,
( ( sum @ n8 @ n19 )
= n1 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12682,plain,
( ( sk__2 = n1 )
<= ( ( sk_ = n22 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5199,zip_derived_cl664,zip_derived_cl62,zip_derived_cl663,zip_derived_cl61,zip_derived_cl398,zip_derived_cl306]) ).
thf(zip_derived_cl24_5183,plain,
sk__2 != n1,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('658',plain,
( ( sk__1 != n12 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12682,zip_derived_cl24]) ).
thf(zip_derived_cl1101_5184,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_5185,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5196,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ n19 @ n12 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1101,zip_derived_cl5176]) ).
thf(zip_derived_cl586_5186,plain,
( ( sum @ n19 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_5187,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl585_5188,plain,
( ( sum @ n19 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_5189,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl395_5190,plain,
( ( sum @ n12 @ n4 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl225_5191,plain,
( ( sum @ n5 @ n16 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12676,plain,
( ( sk__2 = n21 )
<= ( ( sk_ = n19 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5196,zip_derived_cl586,zip_derived_cl59,zip_derived_cl585,zip_derived_cl58,zip_derived_cl395,zip_derived_cl225]) ).
thf(zip_derived_cl4_5192,plain,
sk__2 != n21,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('659',plain,
( ( sk__1 != n12 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12676,zip_derived_cl4]) ).
thf(zip_derived_cl1093_5193,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl5176_5194,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n13 ) ) @ ( sum @ n12 @ ( pred @ ( sum @ sk_ @ n12 ) ) ) ) )
<= ( sk__1 = n12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl1574]) ).
thf(zip_derived_cl5188,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_cl1093,zip_derived_cl5176]) ).
thf(zip_derived_cl378_5195,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5196,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl377_5197,plain,
( ( sum @ n11 @ n12 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl76_5198,plain,
( ( pred @ n23 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl413_5199,plain,
( ( sum @ n12 @ n22 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl685_5200,plain,
( ( sum @ n23 @ n8 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12658,plain,
( ( sk__2 = n5 )
<= ( ( sk_ = n11 )
& ( sk__1 = n12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5188,zip_derived_cl378,zip_derived_cl77,zip_derived_cl377,zip_derived_cl76,zip_derived_cl413,zip_derived_cl685]) ).
thf(zip_derived_cl20_5201,plain,
sk__2 != n5,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('660',plain,
( ( sk__1 != n12 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12658,zip_derived_cl20]) ).
thf(zip_derived_cl1101_5202,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_5203,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6885,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_cl1101,zip_derived_cl6865]) ).
thf(zip_derived_cl597_5204,plain,
( ( sum @ n19 @ n24 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5205,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl596_5206,plain,
( ( sum @ n19 @ n23 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5207,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl692_5208,plain,
( ( sum @ n23 @ n15 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl507_5209,plain,
( ( sum @ n16 @ n12 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14660,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n19 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6885,zip_derived_cl597,zip_derived_cl70,zip_derived_cl596,zip_derived_cl69,zip_derived_cl692,zip_derived_cl507]) ).
thf(zip_derived_cl23_5210,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('661',plain,
( ( sk_ != n19 )
| ( sk__1 != n23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14660,zip_derived_cl23]) ).
thf(zip_derived_cl1101_5211,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_5212,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6581,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_cl1101,zip_derived_cl6561]) ).
thf(zip_derived_cl592_5213,plain,
( ( sum @ n19 @ n19 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5214,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl591_5215,plain,
( ( sum @ n19 @ n18 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5216,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl557_5217,plain,
( ( sum @ n18 @ n10 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl367_5218,plain,
( ( sum @ n11 @ n2 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14088,plain,
( ( sk__2 = n13 )
<= ( ( sk_ = n19 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6581,zip_derived_cl592,zip_derived_cl65,zip_derived_cl591,zip_derived_cl64,zip_derived_cl557,zip_derived_cl367]) ).
thf(zip_derived_cl12_5219,plain,
sk__2 != n13,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('662',plain,
( ( sk__1 != n18 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14088,zip_derived_cl12]) ).
thf(zip_derived_cl1101_5220,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_5221,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6289,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ n19 @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ n19 @ n13 ) ) ) ) )
<= ( ( sk_ = n19 )
& ( sk__1 = n13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1101,zip_derived_cl6269]) ).
thf(zip_derived_cl587_5222,plain,
( ( sum @ n19 @ n14 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_5223,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl586_5224,plain,
( ( sum @ n19 @ n13 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl59_5225,plain,
( ( pred @ n6 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl422_5226,plain,
( ( sum @ n13 @ n5 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl253_5227,plain,
( ( sum @ n6 @ n18 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13516,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n19 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6289,zip_derived_cl587,zip_derived_cl60,zip_derived_cl586,zip_derived_cl59,zip_derived_cl422,zip_derived_cl253]) ).
thf(zip_derived_cl1_5228,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('663',plain,
( ( sk_ != n19 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13516,zip_derived_cl1]) ).
thf(zip_derived_cl1101_5229,plain,
( ( sk_ = n19 )
<= ( sk_ = n19 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_5230,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4788,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_cl1101,zip_derived_cl4768]) ).
thf(zip_derived_cl585_5231,plain,
( ( sum @ n19 @ n12 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl58_5232,plain,
( ( pred @ n5 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl584_5233,plain,
( ( sum @ n19 @ n11 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_5234,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl368_5235,plain,
( ( sum @ n11 @ n3 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl197_5236,plain,
( ( sum @ n4 @ n14 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12324,plain,
( ( sk__2 = n18 )
<= ( ( sk_ = n19 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4788,zip_derived_cl585,zip_derived_cl58,zip_derived_cl584,zip_derived_cl57,zip_derived_cl368,zip_derived_cl197]) ).
thf(zip_derived_cl7_5237,plain,
sk__2 != n18,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('664',plain,
( ( sk__1 != n11 )
| ( sk_ != n19 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12324,zip_derived_cl7]) ).
thf(zip_derived_cl1106_5238,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_5239,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6890,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_cl1106,zip_derived_cl6865]) ).
thf(zip_derived_cl727_5240,plain,
( ( sum @ n24 @ n24 )
= n22 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl75_5241,plain,
( ( pred @ n22 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl726_5242,plain,
( ( sum @ n24 @ n23 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl74_5243,plain,
( ( pred @ n21 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl697_5244,plain,
( ( sum @ n23 @ n20 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl642_5245,plain,
( ( sum @ n21 @ n17 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14672,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n24 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6890,zip_derived_cl727,zip_derived_cl75,zip_derived_cl726,zip_derived_cl74,zip_derived_cl697,zip_derived_cl642]) ).
thf(zip_derived_cl13_5246,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('665',plain,
( ( sk__1 != n23 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14672,zip_derived_cl13]) ).
thf(zip_derived_cl1104_5247,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_5248,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6888,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_cl1104,zip_derived_cl6865]) ).
thf(zip_derived_cl675_5249,plain,
( ( sum @ n22 @ n24 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl73_5250,plain,
( ( pred @ n20 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl674_5251,plain,
( ( sum @ n22 @ n23 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl72_5252,plain,
( ( pred @ n19 )
= n18 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl695_5253,plain,
( ( sum @ n23 @ n18 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl588_5254,plain,
( ( sum @ n19 @ n15 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14668,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n22 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6888,zip_derived_cl675,zip_derived_cl73,zip_derived_cl674,zip_derived_cl72,zip_derived_cl695,zip_derived_cl588]) ).
thf(zip_derived_cl17_5255,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('666',plain,
( ( sk__1 != n23 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14668,zip_derived_cl17]) ).
thf(zip_derived_cl1093_5256,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6865_5257,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n24 ) ) @ ( sum @ n23 @ ( pred @ ( sum @ sk_ @ n23 ) ) ) ) )
<= ( sk__1 = n23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1873,zip_derived_cl50]) ).
thf(zip_derived_cl6877,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_cl1093,zip_derived_cl6865]) ).
thf(zip_derived_cl389_5258,plain,
( ( sum @ n11 @ n24 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_5259,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_5260,plain,
( ( sum @ n11 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_5261,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl684_5262,plain,
( ( sum @ n23 @ n7 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl291_5263,plain,
( ( sum @ n8 @ n4 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14642,plain,
( ( sk__2 = n12 )
<= ( ( sk_ = n11 )
& ( sk__1 = n23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6877,zip_derived_cl389,zip_derived_cl62,zip_derived_cl388,zip_derived_cl61,zip_derived_cl684,zip_derived_cl291]) ).
thf(zip_derived_cl13_5264,plain,
sk__2 != n12,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('667',plain,
( ( sk__1 != n23 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14642,zip_derived_cl13]) ).
thf(zip_derived_cl1106_5265,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_5266,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6586,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_cl1106,zip_derived_cl6561]) ).
thf(zip_derived_cl722_5267,plain,
( ( sum @ n24 @ n19 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl70_5268,plain,
( ( pred @ n17 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl721_5269,plain,
( ( sum @ n24 @ n18 )
= n16 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl69_5270,plain,
( ( pred @ n16 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl562_5271,plain,
( ( sum @ n18 @ n15 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl502_5272,plain,
( ( sum @ n16 @ n7 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14100,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n24 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6586,zip_derived_cl722,zip_derived_cl70,zip_derived_cl721,zip_derived_cl69,zip_derived_cl562,zip_derived_cl502]) ).
thf(zip_derived_cl2_5273,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('668',plain,
( ( sk__1 != n18 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14100,zip_derived_cl2]) ).
thf(zip_derived_cl1121_5274,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl1106_5275,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl26_5276,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_cl1599,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_cl1106,zip_derived_cl26]) ).
thf(zip_derived_cl5957,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_cl1121,zip_derived_cl1599]) ).
thf(zip_derived_cl40_5277,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl6035,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_cl5957,zip_derived_cl40]) ).
thf(zip_derived_cl717_5278,plain,
( ( sum @ n24 @ n14 )
= n12 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl65_5279,plain,
( ( pred @ n12 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl716_5280,plain,
( ( sum @ n24 @ n13 )
= n11 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl64_5281,plain,
( ( pred @ n11 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl427_5282,plain,
( ( sum @ n13 @ n10 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl388_5283,plain,
( ( sum @ n11 @ n23 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13312,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n24 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6035,zip_derived_cl717,zip_derived_cl65,zip_derived_cl716,zip_derived_cl64,zip_derived_cl427,zip_derived_cl388]) ).
thf(zip_derived_cl17_5284,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('669',plain,
( ( sk_ != n24 )
| ( sk__1 != n13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13312,zip_derived_cl17]) ).
thf(zip_derived_cl1106_5285,plain,
( ( sk_ = n24 )
<= ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_5286,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4793,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_cl1106,zip_derived_cl4768]) ).
thf(zip_derived_cl715_5287,plain,
( ( sum @ n24 @ n12 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5288,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl714_5289,plain,
( ( sum @ n24 @ n11 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_5290,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl373_5291,plain,
( ( sum @ n11 @ n8 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl332_5292,plain,
( ( sum @ n9 @ n19 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12336,plain,
( ( sk__2 = n2 )
<= ( ( sk_ = n24 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4793,zip_derived_cl715,zip_derived_cl63,zip_derived_cl714,zip_derived_cl62,zip_derived_cl373,zip_derived_cl332]) ).
thf(zip_derived_cl23_5293,plain,
sk__2 != n2,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('670',plain,
( ( sk__1 != n11 )
| ( sk_ != n24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12336,zip_derived_cl23]) ).
thf(zip_derived_cl1093_5294,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6269_5295,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n14 ) ) @ ( sum @ n13 @ ( pred @ ( sum @ sk_ @ n13 ) ) ) ) )
<= ( sk__1 = n13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl40]) ).
thf(zip_derived_cl6281,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_cl1093,zip_derived_cl6269]) ).
thf(zip_derived_cl379_5296,plain,
( ( sum @ n11 @ n14 )
= n25 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl78_5297,plain,
( ( pred @ n25 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl378_5298,plain,
( ( sum @ n11 @ n13 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl77_5299,plain,
( ( pred @ n24 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl440_5300,plain,
( ( sum @ n13 @ n23 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl713_5301,plain,
( ( sum @ n24 @ n10 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13498,plain,
( ( sk__2 = n8 )
<= ( ( sk_ = n11 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6281,zip_derived_cl379,zip_derived_cl78,zip_derived_cl378,zip_derived_cl77,zip_derived_cl440,zip_derived_cl713]) ).
thf(zip_derived_cl17_5302,plain,
sk__2 != n8,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('671',plain,
( ( sk__1 != n13 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13498,zip_derived_cl17]) ).
thf(zip_derived_cl1121_5303,plain,
( ( sk__1 = n13 )
<= ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl1104_5304,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl26_5305,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_cl1597,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_cl1104,zip_derived_cl26]) ).
thf(zip_derived_cl5717,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_cl1121,zip_derived_cl1597]) ).
thf(zip_derived_cl40_5306,plain,
( ( succ @ n13 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl5795,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_cl5717,zip_derived_cl40]) ).
thf(zip_derived_cl665_5307,plain,
( ( sum @ n22 @ n14 )
= n10 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl63_5308,plain,
( ( pred @ n10 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl664_5309,plain,
( ( sum @ n22 @ n13 )
= n9 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl62_5310,plain,
( ( pred @ n9 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl425_5311,plain,
( ( sum @ n13 @ n8 )
= n21 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl334_5312,plain,
( ( sum @ n9 @ n21 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl13128,plain,
( ( sk__2 = n4 )
<= ( ( sk_ = n22 )
& ( sk__1 = n13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5795,zip_derived_cl665,zip_derived_cl63,zip_derived_cl664,zip_derived_cl62,zip_derived_cl425,zip_derived_cl334]) ).
thf(zip_derived_cl21_5313,plain,
sk__2 != n4,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('672',plain,
( ( sk__1 != n13 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13128,zip_derived_cl21]) ).
thf(zip_derived_cl1104_5314,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_5315,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6584,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_cl1104,zip_derived_cl6561]) ).
thf(zip_derived_cl670_5316,plain,
( ( sum @ n22 @ n19 )
= n15 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl68_5317,plain,
( ( pred @ n15 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl669_5318,plain,
( ( sum @ n22 @ n18 )
= n14 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl67_5319,plain,
( ( pred @ n14 )
= n13 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl560_5320,plain,
( ( sum @ n18 @ n13 )
= n5 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl448_5321,plain,
( ( sum @ n14 @ n5 )
= n19 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14096,plain,
( ( sk__2 = n19 )
<= ( ( sk_ = n22 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6584,zip_derived_cl670,zip_derived_cl68,zip_derived_cl669,zip_derived_cl67,zip_derived_cl560,zip_derived_cl448]) ).
thf(zip_derived_cl6_5322,plain,
sk__2 != n19,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('673',plain,
( ( sk__1 != n18 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14096,zip_derived_cl6]) ).
thf(zip_derived_cl1104_5323,plain,
( ( sk_ = n22 )
<= ( sk_ = n22 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl4768_5324,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n12 ) ) @ ( sum @ n11 @ ( pred @ ( sum @ sk_ @ n11 ) ) ) ) )
<= ( sk__1 = n11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl1573]) ).
thf(zip_derived_cl4791,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_cl1104,zip_derived_cl4768]) ).
thf(zip_derived_cl663_5325,plain,
( ( sum @ n22 @ n12 )
= n8 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl61_5326,plain,
( ( pred @ n8 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl662_5327,plain,
( ( sum @ n22 @ n11 )
= n7 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl60_5328,plain,
( ( pred @ n7 )
= n6 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl371_5329,plain,
( ( sum @ n11 @ n6 )
= n17 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl278_5330,plain,
( ( sum @ n7 @ n17 )
= n24 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl12330,plain,
( ( sk__2 = n24 )
<= ( ( sk_ = n22 )
& ( sk__1 = n11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4791,zip_derived_cl663,zip_derived_cl61,zip_derived_cl662,zip_derived_cl60,zip_derived_cl371,zip_derived_cl278]) ).
thf(zip_derived_cl1_5331,plain,
sk__2 != n24,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('674',plain,
( ( sk__1 != n11 )
| ( sk_ != n22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12330,zip_derived_cl1]) ).
thf('675',plain,
( ( sk_ = n11 )
| ( sk_ = n22 )
| ( sk_ = n23 )
| ( sk_ = n0 )
| ( sk_ = n1 )
| ( sk_ = n2 )
| ( sk_ = n25 )
| ( sk_ = n4 )
| ( sk_ = n5 )
| ( sk_ = n6 )
| ( sk_ = n7 )
| ( sk_ = n8 )
| ( sk_ = n9 )
| ( sk_ = n10 )
| ( sk_ = n14 )
| ( sk_ = n3 )
| ( sk_ = n17 )
| ( sk_ = n12 )
| ( sk_ = n15 )
| ( sk_ = n16 )
| ( sk_ = n13 )
| ( sk_ = n18 )
| ( sk_ = n20 )
| ( sk_ = n21 )
| ( sk_ = n19 )
| ( sk_ = n24 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl1093_5332,plain,
( ( sk_ = n11 )
<= ( sk_ = n11 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf(zip_derived_cl6561_5333,plain,
( ( sk__2
= ( sum @ ( pred @ ( sum @ sk_ @ n19 ) ) @ ( sum @ n18 @ ( pred @ ( sum @ sk_ @ n18 ) ) ) ) )
<= ( sk__1 = n18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl45]) ).
thf(zip_derived_cl6573,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_cl1093,zip_derived_cl6561]) ).
thf(zip_derived_cl384_5334,plain,
( ( sum @ n11 @ n19 )
= n4 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl57_5335,plain,
( ( pred @ n4 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl383_5336,plain,
( ( sum @ n11 @ n18 )
= n3 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl56_5337,plain,
( ( pred @ n3 )
= n2 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl549_5338,plain,
( ( sum @ n18 @ n2 )
= n20 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl177_5339,plain,
( ( sum @ n3 @ n20 )
= n23 ),
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf(zip_derived_cl14070,plain,
( ( sk__2 = n23 )
<= ( ( sk_ = n11 )
& ( sk__1 = n18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6573,zip_derived_cl384,zip_derived_cl57,zip_derived_cl383,zip_derived_cl56,zip_derived_cl549,zip_derived_cl177]) ).
thf(zip_derived_cl2_5340,plain,
sk__2 != n23,
inference(cnf,[status(esa)],[try_satisfy_this]) ).
thf('676',plain,
( ( sk__1 != n18 )
| ( sk_ != n11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14070,zip_derived_cl2]) ).
thf('677',plain,
( ( sk__1 = n18 )
| ( sk__1 = n11 )
| ( sk__1 = n3 )
| ( sk__1 = n0 )
| ( sk__1 = n24 )
| ( sk__1 = n20 )
| ( sk__1 = n25 )
| ( sk__1 = n5 )
| ( sk__1 = n6 )
| ( sk__1 = n8 )
| ( sk__1 = n7 )
| ( sk__1 = n4 )
| ( sk__1 = n10 )
| ( sk__1 = n15 )
| ( sk__1 = n9 )
| ( sk__1 = n2 )
| ( sk__1 = n16 )
| ( sk__1 = n19 )
| ( sk__1 = n14 )
| ( sk__1 = n22 )
| ( sk__1 = n21 )
| ( sk__1 = n1 )
| ( sk__1 = n17 )
| ( sk__1 = n12 )
| ( sk__1 = n23 )
| ( sk__1 = n13 ) ),
inference(split,[status(esa)],[zip_derived_cl756]) ).
thf(zip_derived_cl14904,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','469','470','471','472','473','474','475','476','477','478','479','480','481','482','483','484','485','486','487','488','489','490','491','492','493','494','495','496','497','498','499','500','501','502','503','504','505','506','507','508','509','510','511','512','513','514','515','516','517','518','519','520','521','522','523','524','525','526','527','528','529','530','531','532','533','534','535','536','537','538','539','540','541','542','543','544','545','546','547','548','549','550','551','552','553','554','555','556','557','558','559','560','561','562','563','564','565','566','567','568','569','570','571','572','573','574','575','576','577','578','579','580','581','582','583','584','585','586','587','588','589','590','591','592','593','594','595','596','597','598','599','600','601','602','603','604','605','606','607','608','609','610','611','612','613','614','615','616','617','618','619','620','621','622','623','624','625','626','627','628','629','630','631','632','633','634','635','636','637','638','639','640','641','642','643','644','645','646','647','648','649','650','651','652','653','654','655','656','657','658','659','660','661','662','663','664','665','666','667','668','669','670','671','672','673','674','675','676','677']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM375+1.025 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6HSFIQYdRM true
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:40:23 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.48/0.63 % Total configuration time : 435
% 0.48/0.63 % Estimated wc time : 1092
% 0.48/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 30.91/5.05 % Solved by fo/fo1_av.sh.
% 30.91/5.05 % done 5986 iterations in 2.810s
% 30.91/5.05 % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.91/5.05 % SZS output start Refutation
% See solution above
% 31.41/5.12
% 31.41/5.12
% 31.41/5.12 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 31.41/5.12 % Terminating...
% 31.41/5.17 % Runner terminated.
% 31.42/5.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------