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TRS_Outermost 2019-04-01 06.45 pair #433314719
details
property
value
status
complete
benchmark
OvConsOS_nosorts-noand_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n084.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.77488 seconds
cpu usage
21.1911
user time
19.9444
system time
1.24665
max virtual memory
1.8540484E7
max residence set size
3663244.0
stage attributes
key
value
starexec-result
NO
output
21.10/6.06 NO 21.10/6.06 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 21.10/6.06 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.10/6.06 21.10/6.06 21.10/6.06 Outermost Termination of the given OTRS could be disproven: 21.10/6.06 21.10/6.06 (0) OTRS 21.10/6.06 (1) OutermostNonTerminationProof [COMPLETE, 2732 ms] 21.10/6.06 (2) NO 21.10/6.06 21.10/6.06 21.10/6.06 ---------------------------------------- 21.10/6.06 21.10/6.06 (0) 21.10/6.06 Obligation: 21.10/6.06 Term rewrite system R: 21.10/6.06 The TRS R consists of the following rules: 21.10/6.06 21.10/6.06 zeros -> cons(0, n__zeros) 21.10/6.06 U11(tt, L) -> U12(tt, activate(L)) 21.10/6.06 U12(tt, L) -> s(length(activate(L))) 21.10/6.06 U21(tt, IL, M, N) -> U22(tt, activate(IL), activate(M), activate(N)) 21.10/6.06 U22(tt, IL, M, N) -> U23(tt, activate(IL), activate(M), activate(N)) 21.10/6.06 U23(tt, IL, M, N) -> cons(activate(N), n__take(activate(M), activate(IL))) 21.10/6.06 length(nil) -> 0 21.10/6.06 length(cons(N, L)) -> U11(tt, activate(L)) 21.10/6.06 take(0, IL) -> nil 21.10/6.06 take(s(M), cons(N, IL)) -> U21(tt, activate(IL), M, N) 21.10/6.06 zeros -> n__zeros 21.10/6.06 take(X1, X2) -> n__take(X1, X2) 21.10/6.06 activate(n__zeros) -> zeros 21.10/6.06 activate(n__take(X1, X2)) -> take(X1, X2) 21.10/6.06 activate(X) -> X 21.10/6.06 21.10/6.06 21.10/6.06 21.10/6.06 Outermost Strategy. 21.10/6.06 21.10/6.06 ---------------------------------------- 21.10/6.06 21.10/6.06 (1) OutermostNonTerminationProof (COMPLETE) 21.10/6.06 Term rewrite system R: 21.10/6.06 The TRS R consists of the following rules: 21.10/6.06 21.10/6.06 zeros -> cons(0, n__zeros) 21.10/6.06 U11(tt, L) -> U12(tt, activate(L)) 21.10/6.06 U12(tt, L) -> s(length(activate(L))) 21.10/6.06 U21(tt, IL, M, N) -> U22(tt, activate(IL), activate(M), activate(N)) 21.10/6.06 U22(tt, IL, M, N) -> U23(tt, activate(IL), activate(M), activate(N)) 21.10/6.06 U23(tt, IL, M, N) -> cons(activate(N), n__take(activate(M), activate(IL))) 21.10/6.06 length(nil) -> 0 21.10/6.06 length(cons(N, L)) -> U11(tt, activate(L)) 21.10/6.06 take(0, IL) -> nil 21.10/6.06 take(s(M), cons(N, IL)) -> U21(tt, activate(IL), M, N) 21.10/6.06 zeros -> n__zeros 21.10/6.06 take(X1, X2) -> n__take(X1, X2) 21.10/6.06 activate(n__zeros) -> zeros 21.10/6.06 activate(n__take(X1, X2)) -> take(X1, X2) 21.10/6.06 activate(X) -> X 21.10/6.06 21.10/6.06 21.10/6.06 21.10/6.06 Outermost Strategy. 21.10/6.06 21.10/6.06 ---------- Loop: ---------- 21.10/6.06 21.10/6.06 U12(tt, activate(activate(n__zeros))) -> s(length(activate(activate(activate(n__zeros))))) with rule U12(tt, L) -> s(length(activate(L))) at position [] and matcher [L / activate(activate(n__zeros))] 21.10/6.06 21.10/6.06 s(length(activate(activate(activate(n__zeros))))) -> s(length(activate(activate(n__zeros)))) with rule activate(X) -> X at position [0,0] and matcher [X / activate(activate(n__zeros))] 21.10/6.06 21.10/6.06 s(length(activate(activate(n__zeros)))) -> s(length(activate(n__zeros))) with rule activate(X) -> X at position [0,0] and matcher [X / activate(n__zeros)] 21.10/6.06 21.10/6.06 s(length(activate(n__zeros))) -> s(length(zeros)) with rule activate(n__zeros) -> zeros at position [0,0] and matcher [ ] 21.10/6.06 21.10/6.06 s(length(zeros)) -> s(length(cons(0, n__zeros))) with rule zeros -> cons(0, n__zeros) at position [0,0] and matcher [ ] 21.10/6.06 21.10/6.06 s(length(cons(0, n__zeros))) -> s(U11(tt, activate(n__zeros))) with rule length(cons(N, L)) -> U11(tt, activate(L)) at position [0] and matcher [N / 0, L / n__zeros] 21.10/6.06 21.10/6.06 s(U11(tt, activate(n__zeros))) -> s(U12(tt, activate(activate(n__zeros)))) with rule U11(tt, L) -> U12(tt, activate(L)) at position [0] and matcher [L / activate(n__zeros)] 21.10/6.06 21.10/6.06 Now an instance of the first term with Matcher [ ] occurs in the last term at position [0]. 21.10/6.06 21.10/6.06 Context: s([]) 21.10/6.06 21.10/6.06 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 21.10/6.06 ---------------------------------------- 21.10/6.06 21.10/6.06 (2) 21.10/6.06 NO 21.16/7.77 EOF
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