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Higher Order Rewriting Union Beta pair #487093687
details
property
value
status
complete
benchmark
h38.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Hamana_Kikuchi_18
run statistics
property
value
solver
Wanda 2.2a
configuration
default
runtime (wallclock)
4.61758 seconds
cpu usage
4.82005
user time
4.47267
system time
0.347387
max virtual memory
772916.0
max residence set size
53444.0
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 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 -> A u12 : [] --> A -> A -> A Rules: active (u11 tt x y z) => mark (u12 (splitAt x z) y) active (u12 (pair x y) z) => mark (pair (cons z x) y) active (afterNth x y) => mark (snd (splitAt x y)) active (and tt x) => mark x active (fst (pair x y)) => mark x active (head (cons x y)) => mark x active (natsFrom x) => mark (cons x (natsFrom (s x))) active (sel x y) => mark (head (afterNth x y)) active (snd (pair x y)) => mark y active (splitAt 0 x) => mark (pair nil x) active (splitAt (s x) (cons y z)) => mark (u11 tt x y z) active (tail (cons x y)) => mark y active (take x y) => mark (fst (splitAt x y)) mark (u11 x y z u) => active (u11 (mark x) y z u) mark tt => active tt mark (u12 x y) => active (u12 (mark x) y) mark (splitAt x y) => active (splitAt (mark x) (mark y)) mark (pair x y) => active (pair (mark x) (mark y)) mark (cons x y) => active (cons (mark x) y) mark (afterNth x y) => active (afterNth (mark x) (mark y)) mark (snd x) => active (snd (mark x)) mark (and x y) => active (and (mark x) y) mark (fst x) => active (fst (mark x)) mark (head x) => active (head (mark x)) mark (natsFrom x) => active (natsFrom (mark x)) mark (s x) => active (s (mark x)) mark (sel x y) => active (sel (mark x) (mark y)) mark 0 => active 0 mark nil => active nil mark (tail x) => active (tail (mark x)) mark (take x y) => active (take (mark x) (mark y)) u11 (mark x) y z u => u11 x y z u u11 x (mark y) z u => u11 x y z u u11 x y (mark z) u => u11 x y z u u11 x y z (mark u) => u11 x y z u u11 (active x) y z u => u11 x y z u u11 x (active y) z u => u11 x y z u u11 x y (active z) u => u11 x y z u u11 x y z (active u) => u11 x y z u u12 (mark x) y => u12 x y u12 x (mark y) => u12 x y u12 (active x) y => u12 x y u12 x (active y) => u12 x y 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 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 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 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 snd (mark x) => snd x snd (active x) => snd x and (mark x) y => and x y and x (mark y) => and x y and (active x) y => and x y and x (active y) => and x y fst (mark x) => fst x fst (active x) => fst x head (mark x) => head x head (active x) => head x natsFrom (mark x) => natsFrom x
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