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Higher Order Rewriting Union Beta pair #487093701
details
property
value
status
complete
benchmark
h40.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Hamana_Kikuchi_18
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
18.0204 seconds
cpu usage
18.2995
user time
17.8244
system time
0.475064
max virtual memory
908444.0
max residence set size
202740.0
stage attributes
key
value
starexec-result
YES
output
YES We consider the system theBenchmark. Alphabet: 0 : [] --> A afterNth : [] --> A -> A -> A app : [] --> (A -> A) -> A -> A axxafterNth : [] --> A -> A -> A axxfst : [] --> A -> A axxhead : [] --> A -> A axxnatsFrom : [] --> A -> A axxsel : [] --> A -> A -> A axxsnd : [] --> A -> A axxsplitAt : [] --> A -> A -> A axxtail : [] --> A -> A axxtake : [] --> A -> A -> A axxu11 : [] --> A -> A -> A -> A axxu12 : [] --> A -> A -> A -> A axxu21 : [] --> A -> A -> A axxu22 : [] --> A -> A -> A axxu31 : [] --> A -> A -> A axxu32 : [] --> A -> A -> A axxu41 : [] --> A -> A -> A -> A axxu42 : [] --> A -> A -> A -> A axxu51 : [] --> A -> A -> A axxu52 : [] --> A -> A -> A axxu61 : [] --> A -> A -> A -> A -> A axxu62 : [] --> A -> A -> A -> A -> A axxu63 : [] --> A -> A -> A -> A -> A axxu64 : [] --> A -> A -> A axxu71 : [] --> A -> A -> A axxu72 : [] --> A -> A -> A axxu81 : [] --> A -> A -> A -> A axxu82 : [] --> 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: axxu11 tt x y => axxu12 tt x y axxu12 tt x y => axxsnd (axxsplitAt (mark x) (mark y)) axxu21 tt x => axxu22 tt x axxu22 tt x => mark x axxu31 tt x => axxu32 tt x axxu32 tt x => mark x axxu41 tt x y => axxu42 tt x y axxu42 tt x y => axxhead (axxafterNth (mark x) (mark y)) axxu51 tt x => axxu52 tt x axxu52 tt x => mark x axxu61 tt x y z => axxu62 tt x y z axxu62 tt x y z => axxu63 tt x y z axxu63 tt x y z => axxu64 (axxsplitAt (mark x) (mark z)) y axxu64 (pair x y) z => pair (cons (mark z) x) (mark y) axxu71 tt x => axxu72 tt x axxu72 tt x => mark x axxu81 tt x y => axxu82 tt x y axxu82 tt x y => axxfst (axxsplitAt (mark x) (mark y)) axxafterNth x y => axxu11 tt x y axxfst (pair x y) => axxu21 tt x axxhead (cons x y) => axxu31 tt x axxnatsFrom x => cons (mark x) (natsFrom (s x)) axxsel x y => axxu41 tt x y axxsnd (pair x y) => axxu51 tt y axxsplitAt 0 x => pair nil (mark x) axxsplitAt (s x) (cons y z) => axxu61 tt x y z axxtail (cons x y) => axxu71 tt y axxtake x y => axxu81 tt x y mark (u11 x y z) => axxu11 (mark x) y z
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