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Higher Order Rewriting Union Beta pair #487093737
details
property
value
status
complete
benchmark
h33.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Hamana_Kikuchi_18
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
16.8163 seconds
cpu usage
18.1881
user time
16.9955
system time
1.19264
max virtual memory
952024.0
max residence set size
124524.0
stage attributes
key
value
starexec-result
YES
output
YES We consider the system theBenchmark. Alphabet: 0 : [] --> A active : [] --> A -> A afterNth : [] --> A -> A -> A and : [] --> A -> A -> A app : [] --> (A -> A) -> A -> A cons : [] --> A -> A -> A fst : [] --> A -> A head : [] --> A -> A isLNat : [] --> A -> A isNatural : [] --> A -> A isPLNat : [] --> A -> A map : [] --> (A -> A) -> A -> A mark : [] --> A -> A natsFrom : [] --> A -> A nil : [] --> A pair : [] --> A -> A -> A s : [] --> A -> A sel : [] --> A -> A -> A snd : [] --> A -> A splitAt : [] --> A -> A -> A tail : [] --> A -> A take : [] --> A -> A -> A tt : [] --> A u101 : [] --> A -> A -> A -> A u11 : [] --> A -> A -> A -> A u21 : [] --> A -> A -> A u31 : [] --> A -> A -> A u41 : [] --> A -> A -> A u51 : [] --> A -> A -> A -> A u61 : [] --> A -> A -> A u71 : [] --> A -> A -> A u81 : [] --> A -> A -> A -> A -> A u82 : [] --> A -> A -> A u91 : [] --> A -> A -> A Rules: active (u101 tt x y) => mark (fst (splitAt x y)) active (u11 tt x y) => mark (snd (splitAt x y)) active (u21 tt x) => mark x active (u31 tt x) => mark x active (u41 tt x) => mark (cons x (natsFrom (s x))) active (u51 tt x y) => mark (head (afterNth x y)) active (u61 tt x) => mark x active (u71 tt x) => mark (pair nil x) active (u81 tt x y z) => mark (u82 (splitAt x z) y) active (u82 (pair x y) z) => mark (pair (cons z x) y) active (u91 tt x) => mark x active (afterNth x y) => mark (u11 (and (isNatural x) (isLNat y)) x y) active (and tt x) => mark x active (fst (pair x y)) => mark (u21 (and (isLNat x) (isLNat y)) x) active (head (cons x y)) => mark (u31 (and (isNatural x) (isLNat y)) x) active (isLNat nil) => mark tt active (isLNat (afterNth x y)) => mark (and (isNatural x) (isLNat y)) active (isLNat (cons x y)) => mark (and (isNatural x) (isLNat y)) active (isLNat (fst x)) => mark (isPLNat x) active (isLNat (natsFrom x)) => mark (isNatural x) active (isLNat (snd x)) => mark (isPLNat x) active (isLNat (tail x)) => mark (isLNat x) active (isLNat (take x y)) => mark (and (isNatural x) (isLNat y)) active (isNatural 0) => mark tt active (isNatural (head x)) => mark (isLNat x) active (isNatural (s x)) => mark (isNatural x) active (isNatural (sel x y)) => mark (and (isNatural x) (isLNat y)) active (isPLNat (pair x y)) => mark (and (isLNat x) (isLNat y)) active (isPLNat (splitAt x y)) => mark (and (isNatural x) (isLNat y)) active (natsFrom x) => mark (u41 (isNatural x) x) active (sel x y) => mark (u51 (and (isNatural x) (isLNat y)) x y) active (snd (pair x y)) => mark (u61 (and (isLNat x) (isLNat y)) y) active (splitAt 0 x) => mark (u71 (isLNat x) x) active (splitAt (s x) (cons y z)) => mark (u81 (and (isNatural x) (and (isNatural y) (isLNat z))) x y z) active (tail (cons x y)) => mark (u91 (and (isNatural x) (isLNat y)) y) active (take x y) => mark (u101 (and (isNatural x) (isLNat y)) x y) mark (u101 x y z) => active (u101 (mark x) y z) mark tt => active tt mark (fst x) => active (fst (mark x)) mark (splitAt x y) => active (splitAt (mark x) (mark y)) mark (u11 x y z) => active (u11 (mark x) y z) mark (snd x) => active (snd (mark x)) mark (u21 x y) => active (u21 (mark x) y) mark (u31 x y) => active (u31 (mark x) y) mark (u41 x y) => active (u41 (mark x) y) mark (cons x y) => active (cons (mark x) y) mark (natsFrom x) => active (natsFrom (mark x)) mark (s x) => active (s (mark x)) mark (u51 x y z) => active (u51 (mark x) y z) mark (head x) => active (head (mark x)) mark (afterNth x y) => active (afterNth (mark x) (mark y)) mark (u61 x y) => active (u61 (mark x) y) mark (u71 x y) => active (u71 (mark x) y) mark (pair x y) => active (pair (mark x) (mark y)) mark nil => active nil mark (u81 x y z u) => active (u81 (mark x) y z u) mark (u82 x y) => active (u82 (mark x) y) mark (u91 x y) => active (u91 (mark x) y)
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