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TRS Outer 67415 pair #381918163
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
n047.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.9400229454 seconds
cpu usage
25.474019704
max memory
3.924709376E9
stage attributes
key
value
output-size
3517
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 3375 ms] (2) NO ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: zeros -> cons(0, n__zeros) U11(tt, L) -> U12(tt, activate(L)) U12(tt, L) -> s(length(activate(L))) U21(tt, IL, M, N) -> U22(tt, activate(IL), activate(M), activate(N)) U22(tt, IL, M, N) -> U23(tt, activate(IL), activate(M), activate(N)) U23(tt, IL, M, N) -> cons(activate(N), n__take(activate(M), activate(IL))) length(nil) -> 0 length(cons(N, L)) -> U11(tt, activate(L)) take(0, IL) -> nil take(s(M), cons(N, IL)) -> U21(tt, activate(IL), M, N) zeros -> n__zeros take(X1, X2) -> n__take(X1, X2) activate(n__zeros) -> zeros activate(n__take(X1, X2)) -> take(X1, X2) activate(X) -> X Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: zeros -> cons(0, n__zeros) U11(tt, L) -> U12(tt, activate(L)) U12(tt, L) -> s(length(activate(L))) U21(tt, IL, M, N) -> U22(tt, activate(IL), activate(M), activate(N)) U22(tt, IL, M, N) -> U23(tt, activate(IL), activate(M), activate(N)) U23(tt, IL, M, N) -> cons(activate(N), n__take(activate(M), activate(IL))) length(nil) -> 0 length(cons(N, L)) -> U11(tt, activate(L)) take(0, IL) -> nil take(s(M), cons(N, IL)) -> U21(tt, activate(IL), M, N) zeros -> n__zeros take(X1, X2) -> n__take(X1, X2) activate(n__zeros) -> zeros activate(n__take(X1, X2)) -> take(X1, X2) activate(X) -> X Outermost Strategy. ---------- Loop: ---------- 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))] 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))] 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)] s(length(activate(n__zeros))) -> s(length(zeros)) with rule activate(n__zeros) -> zeros at position [0,0] and matcher [ ] s(length(zeros)) -> s(length(cons(0, n__zeros))) with rule zeros -> cons(0, n__zeros) at position [0,0] and matcher [ ] 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] 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)] Now an instance of the first term with Matcher [ ] occurs in the last term at position [0]. Context: s([]) We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. ---------------------------------------- (2) NO
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