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Runtime_Complexity_Full_Rewriting 2019-04-01 06.11 pair #433308278
details
property
value
status
complete
benchmark
ExProp7_Luc06_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n171.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
2.17075 seconds
cpu usage
3.40236
user time
3.26851
system time
0.133852
max virtual memory
1.8277336E7
max residence set size
221544.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(1))
output
3.10/1.57 WORST_CASE(?, O(1)) 3.10/1.59 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.10/1.59 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.10/1.59 3.10/1.59 3.10/1.59 The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, 1). 3.10/1.59 3.10/1.59 (0) CpxTRS 3.10/1.59 (1) NarrowingOnBasicTermsTerminatesProof [FINISHED, 0 ms] 3.10/1.59 (2) BOUNDS(1, 1) 3.10/1.59 3.10/1.59 3.10/1.59 ---------------------------------------- 3.10/1.59 3.10/1.59 (0) 3.10/1.59 Obligation: 3.10/1.59 The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, 1). 3.10/1.59 3.10/1.59 3.10/1.59 The TRS R consists of the following rules: 3.10/1.59 3.10/1.59 f(0) -> cons(0) 3.10/1.59 f(s(0)) -> f(p(s(0))) 3.10/1.59 p(s(X)) -> X 3.10/1.59 3.10/1.59 S is empty. 3.10/1.59 Rewrite Strategy: FULL 3.10/1.59 ---------------------------------------- 3.10/1.59 3.10/1.59 (1) NarrowingOnBasicTermsTerminatesProof (FINISHED) 3.10/1.59 Constant runtime complexity proven by termination of constructor-based narrowing. 3.10/1.59 3.10/1.59 The maximal most general narrowing sequences give rise to the following rewrite sequences: 3.10/1.59 3.10/1.59 f(s(0)) ->^* cons(0) 3.10/1.59 3.10/1.59 f(0) ->^* cons(0) 3.10/1.59 3.10/1.59 p(x0) ->^* p(x0) 3.10/1.59 3.10/1.59 3.10/1.59 3.10/1.59 3.10/1.59 ---------------------------------------- 3.10/1.59 3.10/1.59 (2) 3.10/1.59 BOUNDS(1, 1) 3.39/2.17 EOF
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