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Higher Order Rewriting Union Beta pair #487093735
details
property
value
status
complete
benchmark
h41.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Hamana_Kikuchi_18
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
18.1808 seconds
cpu usage
19.1541
user time
17.8086
system time
1.34554
max virtual memory
934308.0
max residence set size
145232.0
stage attributes
key
value
starexec-result
YES
output
YES We consider the system theBenchmark. Alphabet: 0 : [] --> A active : [] --> A -> A afterNth : [] --> A -> A -> A app : [] --> (A -> A) -> A -> A cons : [] --> A -> A -> A fst : [] --> A -> A head : [] --> 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 u11 : [] --> A -> A -> A -> A u12 : [] --> A -> A -> A -> A u21 : [] --> A -> A -> A u22 : [] --> A -> A -> A u31 : [] --> A -> A -> A u32 : [] --> A -> A -> A u41 : [] --> A -> A -> A -> A u42 : [] --> A -> A -> A -> A u51 : [] --> A -> A -> A u52 : [] --> A -> A -> A u61 : [] --> A -> A -> A -> A -> A u62 : [] --> A -> A -> A -> A -> A u63 : [] --> A -> A -> A -> A -> A u64 : [] --> A -> A -> A u71 : [] --> A -> A -> A u72 : [] --> A -> A -> A u81 : [] --> A -> A -> A -> A u82 : [] --> A -> A -> A -> A Rules: active (u11 tt x y) => mark (u12 tt x y) active (u12 tt x y) => mark (snd (splitAt x y)) active (u21 tt x) => mark (u22 tt x) active (u22 tt x) => mark x active (u31 tt x) => mark (u32 tt x) active (u32 tt x) => mark x active (u41 tt x y) => mark (u42 tt x y) active (u42 tt x y) => mark (head (afterNth x y)) active (u51 tt x) => mark (u52 tt x) active (u52 tt x) => mark x active (u61 tt x y z) => mark (u62 tt x y z) active (u62 tt x y z) => mark (u63 tt x y z) active (u63 tt x y z) => mark (u64 (splitAt x z) y) active (u64 (pair x y) z) => mark (pair (cons z x) y) active (u71 tt x) => mark (u72 tt x) active (u72 tt x) => mark x active (u81 tt x y) => mark (u82 tt x y) active (u82 tt x y) => mark (fst (splitAt x y)) active (afterNth x y) => mark (u11 tt x y) active (fst (pair x y)) => mark (u21 tt x) active (head (cons x y)) => mark (u31 tt x) active (natsFrom x) => mark (cons x (natsFrom (s x))) active (sel x y) => mark (u41 tt x y) active (snd (pair x y)) => mark (u51 tt y) active (splitAt 0 x) => mark (pair nil x) active (splitAt (s x) (cons y z)) => mark (u61 tt x y z) active (tail (cons x y)) => mark (u71 tt y) active (take x y) => mark (u81 tt x y) mark (u11 x y z) => active (u11 (mark x) y z) mark tt => active tt mark (u12 x y z) => active (u12 (mark x) y z) mark (snd x) => active (snd (mark x)) mark (splitAt x y) => active (splitAt (mark x) (mark y)) mark (u21 x y) => active (u21 (mark x) y) mark (u22 x y) => active (u22 (mark x) y) mark (u31 x y) => active (u31 (mark x) y) mark (u32 x y) => active (u32 (mark x) y) mark (u41 x y z) => active (u41 (mark x) y z) mark (u42 x y z) => active (u42 (mark x) y z) mark (head x) => active (head (mark x)) mark (afterNth x y) => active (afterNth (mark x) (mark y)) mark (u51 x y) => active (u51 (mark x) y) mark (u52 x y) => active (u52 (mark x) y) mark (u61 x y z u) => active (u61 (mark x) y z u) mark (u62 x y z u) => active (u62 (mark x) y z u) mark (u63 x y z u) => active (u63 (mark x) y z u) mark (u64 x y) => active (u64 (mark x) y) mark (pair x y) => active (pair (mark x) (mark y)) mark (cons x y) => active (cons (mark x) y) mark (u71 x y) => active (u71 (mark x) y) mark (u72 x y) => active (u72 (mark x) y) mark (u81 x y z) => active (u81 (mark x) y z) mark (u82 x y z) => active (u82 (mark x) y z) mark (fst x) => active (fst (mark x)) mark (natsFrom x) => active (natsFrom (mark x))
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