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Runti Compl Full Rewri 10127 pair #381903959
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.67588114738 seconds
cpu usage
3.605024347
max memory
1.97271552E8
stage attributes
key
value
output-size
6755
starexec-result
WORST_CASE(NON_POLY, ?)
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). (0) CpxTRS (1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (2) TRS for Loop Detection (3) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (4) BEST (5) proven lower bound (6) LowerBoundPropagationProof [FINISHED, 0 ms] (7) BOUNDS(n^1, INF) (8) TRS for Loop Detection (9) DecreasingLoopProof [FINISHED, 45 ms] (10) BOUNDS(EXP, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). The TRS R consists of the following rules: app(nil, YS) -> YS app(cons(X, XS), YS) -> cons(X, n__app(activate(XS), YS)) from(X) -> cons(X, n__from(n__s(X))) zWadr(nil, YS) -> nil zWadr(XS, nil) -> nil zWadr(cons(X, XS), cons(Y, YS)) -> cons(app(Y, cons(X, n__nil)), n__zWadr(activate(XS), activate(YS))) prefix(L) -> cons(nil, n__zWadr(L, n__prefix(L))) app(X1, X2) -> n__app(X1, X2) from(X) -> n__from(X) s(X) -> n__s(X) nil -> n__nil zWadr(X1, X2) -> n__zWadr(X1, X2) prefix(X) -> n__prefix(X) activate(n__app(X1, X2)) -> app(activate(X1), activate(X2)) activate(n__from(X)) -> from(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(n__nil) -> nil activate(n__zWadr(X1, X2)) -> zWadr(activate(X1), activate(X2)) activate(n__prefix(X)) -> prefix(activate(X)) activate(X) -> X S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (2) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). The TRS R consists of the following rules: app(nil, YS) -> YS app(cons(X, XS), YS) -> cons(X, n__app(activate(XS), YS)) from(X) -> cons(X, n__from(n__s(X))) zWadr(nil, YS) -> nil zWadr(XS, nil) -> nil zWadr(cons(X, XS), cons(Y, YS)) -> cons(app(Y, cons(X, n__nil)), n__zWadr(activate(XS), activate(YS))) prefix(L) -> cons(nil, n__zWadr(L, n__prefix(L))) app(X1, X2) -> n__app(X1, X2) from(X) -> n__from(X) s(X) -> n__s(X) nil -> n__nil zWadr(X1, X2) -> n__zWadr(X1, X2) prefix(X) -> n__prefix(X) activate(n__app(X1, X2)) -> app(activate(X1), activate(X2)) activate(n__from(X)) -> from(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(n__nil) -> nil activate(n__zWadr(X1, X2)) -> zWadr(activate(X1), activate(X2)) activate(n__prefix(X)) -> prefix(activate(X)) activate(X) -> X S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) DecreasingLoopProof (LOWER BOUND(ID)) The following loop(s) give(s) rise to the lower bound Omega(n^1):
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