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TRS_Outermost 2019-04-01 06.45 pair #433314772
details
property
value
status
complete
benchmark
Ex4_DLMMU04_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n059.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.87961 seconds
cpu usage
12.9052
user time
11.7949
system time
1.11031
max virtual memory
3.6706656E7
max residence set size
2686788.0
stage attributes
key
value
starexec-result
NO
output
12.52/3.81 NO 12.52/3.81 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 12.52/3.81 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.52/3.81 12.52/3.81 12.52/3.81 Outermost Termination of the given OTRS could be disproven: 12.52/3.81 12.52/3.81 (0) OTRS 12.52/3.81 (1) OutermostNonTerminationProof [COMPLETE, 1244 ms] 12.52/3.81 (2) NO 12.52/3.81 12.52/3.81 12.52/3.81 ---------------------------------------- 12.52/3.81 12.52/3.81 (0) 12.52/3.81 Obligation: 12.52/3.81 Term rewrite system R: 12.52/3.81 The TRS R consists of the following rules: 12.52/3.81 12.52/3.81 and(tt, T) -> T 12.52/3.81 isNatIList(IL) -> isNatList(activate(IL)) 12.52/3.81 isNat(n__0) -> tt 12.52/3.81 isNat(n__s(N)) -> isNat(activate(N)) 12.52/3.81 isNat(n__length(L)) -> isNatList(activate(L)) 12.52/3.81 isNatIList(n__zeros) -> tt 12.52/3.81 isNatIList(n__cons(N, IL)) -> and(isNat(activate(N)), isNatIList(activate(IL))) 12.52/3.81 isNatList(n__nil) -> tt 12.52/3.81 isNatList(n__cons(N, L)) -> and(isNat(activate(N)), isNatList(activate(L))) 12.52/3.81 isNatList(n__take(N, IL)) -> and(isNat(activate(N)), isNatIList(activate(IL))) 12.52/3.81 zeros -> cons(0, n__zeros) 12.52/3.81 take(0, IL) -> uTake1(isNatIList(IL)) 12.52/3.81 uTake1(tt) -> nil 12.52/3.81 take(s(M), cons(N, IL)) -> uTake2(and(isNat(M), and(isNat(N), isNatIList(activate(IL)))), M, N, activate(IL)) 12.52/3.81 uTake2(tt, M, N, IL) -> cons(activate(N), n__take(activate(M), activate(IL))) 12.52/3.81 length(cons(N, L)) -> uLength(and(isNat(N), isNatList(activate(L))), activate(L)) 12.52/3.81 uLength(tt, L) -> s(length(activate(L))) 12.52/3.81 0 -> n__0 12.52/3.81 s(X) -> n__s(X) 12.52/3.81 length(X) -> n__length(X) 12.52/3.81 zeros -> n__zeros 12.52/3.81 cons(X1, X2) -> n__cons(X1, X2) 12.52/3.81 nil -> n__nil 12.52/3.81 take(X1, X2) -> n__take(X1, X2) 12.52/3.81 activate(n__0) -> 0 12.52/3.81 activate(n__s(X)) -> s(X) 12.52/3.81 activate(n__length(X)) -> length(X) 12.52/3.81 activate(n__zeros) -> zeros 12.52/3.81 activate(n__cons(X1, X2)) -> cons(X1, X2) 12.52/3.81 activate(n__nil) -> nil 12.52/3.81 activate(n__take(X1, X2)) -> take(X1, X2) 12.52/3.81 activate(X) -> X 12.52/3.81 12.52/3.81 12.52/3.81 12.52/3.81 Outermost Strategy. 12.52/3.81 12.52/3.81 ---------------------------------------- 12.52/3.81 12.52/3.81 (1) OutermostNonTerminationProof (COMPLETE) 12.52/3.81 Term rewrite system R: 12.52/3.81 The TRS R consists of the following rules: 12.52/3.81 12.52/3.81 and(tt, T) -> T 12.52/3.81 isNatIList(IL) -> isNatList(activate(IL)) 12.52/3.81 isNat(n__0) -> tt 12.52/3.81 isNat(n__s(N)) -> isNat(activate(N)) 12.52/3.81 isNat(n__length(L)) -> isNatList(activate(L)) 12.52/3.81 isNatIList(n__zeros) -> tt 12.52/3.81 isNatIList(n__cons(N, IL)) -> and(isNat(activate(N)), isNatIList(activate(IL))) 12.52/3.81 isNatList(n__nil) -> tt 12.52/3.81 isNatList(n__cons(N, L)) -> and(isNat(activate(N)), isNatList(activate(L))) 12.52/3.81 isNatList(n__take(N, IL)) -> and(isNat(activate(N)), isNatIList(activate(IL))) 12.52/3.81 zeros -> cons(0, n__zeros) 12.52/3.81 take(0, IL) -> uTake1(isNatIList(IL)) 12.52/3.81 uTake1(tt) -> nil 12.52/3.81 take(s(M), cons(N, IL)) -> uTake2(and(isNat(M), and(isNat(N), isNatIList(activate(IL)))), M, N, activate(IL)) 12.52/3.81 uTake2(tt, M, N, IL) -> cons(activate(N), n__take(activate(M), activate(IL))) 12.52/3.81 length(cons(N, L)) -> uLength(and(isNat(N), isNatList(activate(L))), activate(L)) 12.52/3.81 uLength(tt, L) -> s(length(activate(L))) 12.52/3.81 0 -> n__0 12.52/3.81 s(X) -> n__s(X) 12.52/3.81 length(X) -> n__length(X) 12.52/3.81 zeros -> n__zeros 12.52/3.81 cons(X1, X2) -> n__cons(X1, X2) 12.52/3.81 nil -> n__nil 12.52/3.81 take(X1, X2) -> n__take(X1, X2) 12.52/3.81 activate(n__0) -> 0 12.52/3.81 activate(n__s(X)) -> s(X) 12.52/3.81 activate(n__length(X)) -> length(X) 12.52/3.81 activate(n__zeros) -> zeros 12.52/3.81 activate(n__cons(X1, X2)) -> cons(X1, X2) 12.52/3.81 activate(n__nil) -> nil 12.52/3.81 activate(n__take(X1, X2)) -> take(X1, X2) 12.52/3.81 activate(X) -> X 12.52/3.81 12.52/3.81 12.52/3.81 12.52/3.81 Outermost Strategy. 12.52/3.81 12.52/3.81 ---------- Loop: ----------
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return to TRS_Outermost 2019-04-01 06.45