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TRS_Outermost 2019-04-01 06.45 pair #433314665
details
property
value
status
complete
benchmark
Ex6_15_AEL02_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.75908 seconds
cpu usage
19.7149
user time
18.5452
system time
1.16972
max virtual memory
3.71168E7
max residence set size
3127752.0
stage attributes
key
value
starexec-result
NO
output
19.41/5.71 NO 19.41/5.71 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 19.41/5.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 19.41/5.71 19.41/5.71 19.41/5.71 Outermost Termination of the given OTRS could be disproven: 19.41/5.71 19.41/5.71 (0) OTRS 19.41/5.71 (1) OutermostNonTerminationProof [COMPLETE, 2402 ms] 19.41/5.71 (2) NO 19.41/5.71 19.41/5.71 19.41/5.71 ---------------------------------------- 19.41/5.71 19.41/5.71 (0) 19.41/5.71 Obligation: 19.41/5.71 Term rewrite system R: 19.41/5.71 The TRS R consists of the following rules: 19.41/5.71 19.41/5.71 sel(s(X), cons(Y, Z)) -> sel(X, activate(Z)) 19.41/5.71 sel(0, cons(X, Z)) -> X 19.41/5.71 first(0, Z) -> nil 19.41/5.71 first(s(X), cons(Y, Z)) -> cons(Y, n__first(X, activate(Z))) 19.41/5.71 from(X) -> cons(X, n__from(s(X))) 19.41/5.71 sel1(s(X), cons(Y, Z)) -> sel1(X, activate(Z)) 19.41/5.71 sel1(0, cons(X, Z)) -> quote(X) 19.41/5.71 first1(0, Z) -> nil1 19.41/5.71 first1(s(X), cons(Y, Z)) -> cons1(quote(Y), first1(X, activate(Z))) 19.41/5.71 quote(n__0) -> 01 19.41/5.71 quote1(n__cons(X, Z)) -> cons1(quote(activate(X)), quote1(activate(Z))) 19.41/5.71 quote1(n__nil) -> nil1 19.41/5.71 quote(n__s(X)) -> s1(quote(activate(X))) 19.41/5.71 quote(n__sel(X, Z)) -> sel1(activate(X), activate(Z)) 19.41/5.71 quote1(n__first(X, Z)) -> first1(activate(X), activate(Z)) 19.41/5.71 unquote(01) -> 0 19.41/5.71 unquote(s1(X)) -> s(unquote(X)) 19.41/5.71 unquote1(nil1) -> nil 19.41/5.71 unquote1(cons1(X, Z)) -> fcons(unquote(X), unquote1(Z)) 19.41/5.71 fcons(X, Z) -> cons(X, Z) 19.41/5.71 first(X1, X2) -> n__first(X1, X2) 19.41/5.71 from(X) -> n__from(X) 19.41/5.71 0 -> n__0 19.41/5.71 cons(X1, X2) -> n__cons(X1, X2) 19.41/5.71 nil -> n__nil 19.41/5.71 s(X) -> n__s(X) 19.41/5.71 sel(X1, X2) -> n__sel(X1, X2) 19.41/5.71 activate(n__first(X1, X2)) -> first(X1, X2) 19.41/5.71 activate(n__from(X)) -> from(X) 19.41/5.71 activate(n__0) -> 0 19.41/5.71 activate(n__cons(X1, X2)) -> cons(X1, X2) 19.41/5.71 activate(n__nil) -> nil 19.41/5.71 activate(n__s(X)) -> s(X) 19.41/5.71 activate(n__sel(X1, X2)) -> sel(X1, X2) 19.41/5.71 activate(X) -> X 19.41/5.71 19.41/5.71 19.41/5.71 19.41/5.71 Outermost Strategy. 19.41/5.71 19.41/5.71 ---------------------------------------- 19.41/5.71 19.41/5.71 (1) OutermostNonTerminationProof (COMPLETE) 19.41/5.71 Term rewrite system R: 19.41/5.71 The TRS R consists of the following rules: 19.41/5.71 19.41/5.71 sel(s(X), cons(Y, Z)) -> sel(X, activate(Z)) 19.41/5.71 sel(0, cons(X, Z)) -> X 19.41/5.71 first(0, Z) -> nil 19.41/5.71 first(s(X), cons(Y, Z)) -> cons(Y, n__first(X, activate(Z))) 19.41/5.71 from(X) -> cons(X, n__from(s(X))) 19.41/5.71 sel1(s(X), cons(Y, Z)) -> sel1(X, activate(Z)) 19.41/5.71 sel1(0, cons(X, Z)) -> quote(X) 19.41/5.71 first1(0, Z) -> nil1 19.41/5.71 first1(s(X), cons(Y, Z)) -> cons1(quote(Y), first1(X, activate(Z))) 19.41/5.71 quote(n__0) -> 01 19.41/5.71 quote1(n__cons(X, Z)) -> cons1(quote(activate(X)), quote1(activate(Z))) 19.41/5.71 quote1(n__nil) -> nil1 19.41/5.71 quote(n__s(X)) -> s1(quote(activate(X))) 19.41/5.71 quote(n__sel(X, Z)) -> sel1(activate(X), activate(Z)) 19.41/5.71 quote1(n__first(X, Z)) -> first1(activate(X), activate(Z)) 19.41/5.71 unquote(01) -> 0 19.41/5.71 unquote(s1(X)) -> s(unquote(X)) 19.41/5.71 unquote1(nil1) -> nil 19.41/5.71 unquote1(cons1(X, Z)) -> fcons(unquote(X), unquote1(Z)) 19.41/5.71 fcons(X, Z) -> cons(X, Z) 19.41/5.71 first(X1, X2) -> n__first(X1, X2) 19.41/5.71 from(X) -> n__from(X) 19.41/5.71 0 -> n__0 19.41/5.71 cons(X1, X2) -> n__cons(X1, X2) 19.41/5.71 nil -> n__nil 19.41/5.71 s(X) -> n__s(X) 19.41/5.71 sel(X1, X2) -> n__sel(X1, X2) 19.41/5.71 activate(n__first(X1, X2)) -> first(X1, X2) 19.41/5.71 activate(n__from(X)) -> from(X) 19.41/5.71 activate(n__0) -> 0 19.41/5.71 activate(n__cons(X1, X2)) -> cons(X1, X2) 19.41/5.71 activate(n__nil) -> nil 19.41/5.71 activate(n__s(X)) -> s(X) 19.41/5.71 activate(n__sel(X1, X2)) -> sel(X1, X2) 19.41/5.71 activate(X) -> X
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