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Runti Compl Full Rewri 10127 pair #381902710
details
property
value
status
complete
benchmark
koen.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.57786798477 seconds
cpu usage
3.288258747
max memory
1.8225152E8
stage attributes
key
value
output-size
1313
starexec-result
WORST_CASE(?, O(1))
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(1)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, 1). (0) CpxTRS (1) NarrowingOnBasicTermsTerminatesProof [FINISHED, 0 ms] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, 1). The TRS R consists of the following rules: f(s(X), X) -> f(X, a(X)) f(X, c(X)) -> f(s(X), X) f(X, X) -> c(X) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) NarrowingOnBasicTermsTerminatesProof (FINISHED) Constant runtime complexity proven by termination of constructor-based narrowing. The maximal most general narrowing sequences give rise to the following rewrite sequences: f(x0, x0) ->^* c(x0) f(x0, c(x0)) ->^* f(x0, a(x0)) f(s(x0), x0) ->^* f(x0, a(x0)) ---------------------------------------- (2) BOUNDS(1, 1)
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