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Higher Order Rewriting Union Beta pair #487093725
details
property
value
status
complete
benchmark
h24.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Hamana_Kikuchi_18
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
3.0335 seconds
cpu usage
2.78428
user time
2.55911
system time
0.225169
max virtual memory
665356.0
max residence set size
43464.0
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 u : [] --> A -> A -> A -> A -> A Rules: active (natsFrom x) => mark (cons x (natsFrom (s x))) active (fst (pair x y)) => mark x active (snd (pair x y)) => mark y active (splitAt 0 x) => mark (pair nil x) active (splitAt (s x) (cons y z)) => mark (u (splitAt x z) x y z) active (u (pair x y) z v w) => mark (pair (cons v x) y) active (head (cons x y)) => mark x active (tail (cons x y)) => mark y active (sel x y) => mark (head (afterNth x y)) active (take x y) => mark (fst (splitAt x y)) active (afterNth x y) => mark (snd (splitAt x y)) mark (natsFrom x) => active (natsFrom (mark x)) mark (cons x y) => active (cons (mark x) y) mark (s x) => active (s (mark x)) mark (fst x) => active (fst (mark x)) mark (pair x y) => active (pair (mark x) (mark y)) mark (snd x) => active (snd (mark x)) mark (splitAt x y) => active (splitAt (mark x) (mark y)) mark 0 => active 0 mark nil => active nil mark (u x y z v) => active (u (mark x) y z v) mark (head x) => active (head (mark x)) mark (tail x) => active (tail (mark x)) mark (sel x y) => active (sel (mark x) (mark y)) mark (afterNth x y) => active (afterNth (mark x) (mark y)) mark (take x y) => active (take (mark x) (mark y)) natsFrom (mark x) => natsFrom x natsFrom (active x) => natsFrom x cons (mark x) y => cons x y cons x (mark y) => cons x y cons (active x) y => cons x y cons x (active y) => cons x y s (mark x) => s x s (active x) => s x fst (mark x) => fst x fst (active x) => fst x pair (mark x) y => pair x y pair x (mark y) => pair x y pair (active x) y => pair x y pair x (active y) => pair x y snd (mark x) => snd x snd (active x) => snd x splitAt (mark x) y => splitAt x y splitAt x (mark y) => splitAt x y splitAt (active x) y => splitAt x y splitAt x (active y) => splitAt x y u (mark x) y z v => u x y z v u x (mark y) z v => u x y z v u x y (mark z) v => u x y z v u x y z (mark v) => u x y z v u (active x) y z v => u x y z v u x (active y) z v => u x y z v u x y (active z) v => u x y z v u x y z (active v) => u x y z v head (mark x) => head x head (active x) => head x tail (mark x) => tail x tail (active x) => tail x sel (mark x) y => sel x y sel x (mark y) => sel x y sel (active x) y => sel x y sel x (active y) => sel x y afterNth (mark x) y => afterNth x y afterNth x (mark y) => afterNth x y afterNth (active x) y => afterNth x y afterNth x (active y) => afterNth x y take (mark x) y => take x y take x (mark y) => take x y take (active x) y => take x y take x (active y) => take x y map (/\x.f x) nil => nil app (/\x.f x) y => f y
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