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TRS_Outermost 2019-04-01 06.45 pair #433314792
details
property
value
status
complete
benchmark
Ex4_DLMMU04_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n090.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.3739 seconds
cpu usage
14.4753
user time
13.3658
system time
1.10949
max virtual memory
1.8541216E7
max residence set size
2963008.0
stage attributes
key
value
starexec-result
NO
output
14.14/4.27 NO 14.14/4.29 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 14.14/4.29 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.14/4.29 14.14/4.29 14.14/4.29 Outermost Termination of the given OTRS could be disproven: 14.14/4.29 14.14/4.29 (0) OTRS 14.14/4.29 (1) OutermostNonTerminationProof [COMPLETE, 1293 ms] 14.14/4.29 (2) NO 14.14/4.29 14.14/4.29 14.14/4.29 ---------------------------------------- 14.14/4.29 14.14/4.29 (0) 14.14/4.29 Obligation: 14.14/4.29 Term rewrite system R: 14.14/4.29 The TRS R consists of the following rules: 14.14/4.29 14.14/4.29 and(tt, T) -> T 14.14/4.29 isNatIList(IL) -> isNatList(activate(IL)) 14.14/4.29 isNat(n__0) -> tt 14.14/4.29 isNat(n__s(N)) -> isNat(activate(N)) 14.14/4.29 isNat(n__length(L)) -> isNatList(activate(L)) 14.14/4.29 isNatIList(n__zeros) -> tt 14.14/4.29 isNatIList(n__cons(N, IL)) -> and(isNat(activate(N)), isNatIList(activate(IL))) 14.14/4.29 isNatList(n__nil) -> tt 14.14/4.29 isNatList(n__cons(N, L)) -> and(isNat(activate(N)), isNatList(activate(L))) 14.14/4.29 isNatList(n__take(N, IL)) -> and(isNat(activate(N)), isNatIList(activate(IL))) 14.14/4.29 zeros -> cons(0, n__zeros) 14.14/4.29 take(0, IL) -> uTake1(isNatIList(IL)) 14.14/4.29 uTake1(tt) -> nil 14.14/4.29 take(s(M), cons(N, IL)) -> uTake2(and(isNat(M), and(isNat(N), isNatIList(activate(IL)))), M, N, activate(IL)) 14.14/4.29 uTake2(tt, M, N, IL) -> cons(activate(N), n__take(activate(M), activate(IL))) 14.14/4.29 length(cons(N, L)) -> uLength(and(isNat(N), isNatList(activate(L))), activate(L)) 14.14/4.29 uLength(tt, L) -> s(length(activate(L))) 14.14/4.29 0 -> n__0 14.14/4.29 s(X) -> n__s(X) 14.14/4.29 length(X) -> n__length(X) 14.14/4.29 zeros -> n__zeros 14.14/4.29 cons(X1, X2) -> n__cons(X1, X2) 14.14/4.29 nil -> n__nil 14.14/4.29 take(X1, X2) -> n__take(X1, X2) 14.14/4.29 activate(n__0) -> 0 14.14/4.29 activate(n__s(X)) -> s(activate(X)) 14.14/4.29 activate(n__length(X)) -> length(activate(X)) 14.14/4.29 activate(n__zeros) -> zeros 14.14/4.29 activate(n__cons(X1, X2)) -> cons(activate(X1), X2) 14.14/4.29 activate(n__nil) -> nil 14.14/4.29 activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) 14.14/4.29 activate(X) -> X 14.14/4.29 14.14/4.29 14.14/4.29 14.14/4.29 Outermost Strategy. 14.14/4.29 14.14/4.29 ---------------------------------------- 14.14/4.29 14.14/4.29 (1) OutermostNonTerminationProof (COMPLETE) 14.14/4.29 Term rewrite system R: 14.14/4.29 The TRS R consists of the following rules: 14.14/4.29 14.14/4.29 and(tt, T) -> T 14.14/4.29 isNatIList(IL) -> isNatList(activate(IL)) 14.14/4.29 isNat(n__0) -> tt 14.14/4.29 isNat(n__s(N)) -> isNat(activate(N)) 14.14/4.29 isNat(n__length(L)) -> isNatList(activate(L)) 14.14/4.29 isNatIList(n__zeros) -> tt 14.14/4.29 isNatIList(n__cons(N, IL)) -> and(isNat(activate(N)), isNatIList(activate(IL))) 14.14/4.29 isNatList(n__nil) -> tt 14.14/4.29 isNatList(n__cons(N, L)) -> and(isNat(activate(N)), isNatList(activate(L))) 14.14/4.29 isNatList(n__take(N, IL)) -> and(isNat(activate(N)), isNatIList(activate(IL))) 14.14/4.29 zeros -> cons(0, n__zeros) 14.14/4.29 take(0, IL) -> uTake1(isNatIList(IL)) 14.14/4.29 uTake1(tt) -> nil 14.14/4.29 take(s(M), cons(N, IL)) -> uTake2(and(isNat(M), and(isNat(N), isNatIList(activate(IL)))), M, N, activate(IL)) 14.14/4.29 uTake2(tt, M, N, IL) -> cons(activate(N), n__take(activate(M), activate(IL))) 14.14/4.29 length(cons(N, L)) -> uLength(and(isNat(N), isNatList(activate(L))), activate(L)) 14.14/4.29 uLength(tt, L) -> s(length(activate(L))) 14.14/4.29 0 -> n__0 14.14/4.29 s(X) -> n__s(X) 14.14/4.29 length(X) -> n__length(X) 14.14/4.29 zeros -> n__zeros 14.14/4.29 cons(X1, X2) -> n__cons(X1, X2) 14.14/4.29 nil -> n__nil 14.14/4.29 take(X1, X2) -> n__take(X1, X2) 14.14/4.29 activate(n__0) -> 0 14.14/4.29 activate(n__s(X)) -> s(activate(X)) 14.14/4.29 activate(n__length(X)) -> length(activate(X)) 14.14/4.29 activate(n__zeros) -> zeros 14.14/4.29 activate(n__cons(X1, X2)) -> cons(activate(X1), X2) 14.14/4.29 activate(n__nil) -> nil 14.14/4.29 activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) 14.14/4.29 activate(X) -> X 14.14/4.29 14.14/4.29 14.14/4.29 14.14/4.29 Outermost Strategy. 14.14/4.29 14.14/4.29 ---------- Loop: ----------
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