Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Runti Compl Full Rewri 10127 pair #381902931
details
property
value
status
complete
benchmark
#4.7.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
Strategy_removed_AG01
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.58250689507 seconds
cpu usage
3.458997194
max memory
1.85741312E8
stage attributes
key
value
output-size
1983
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, 1).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) NestedDefinedSymbolProof [UPPER BOUND(ID), 0 ms] (2) CpxTRS (3) NarrowingOnBasicTermsTerminatesProof [FINISHED, 0 ms] (4) 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)) -> f(g(x, x)) g(0, 1) -> s(0) 0 -> 1 S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) NestedDefinedSymbolProof (UPPER BOUND(ID)) The following defined symbols can occur below the 0th argument of f: g The following defined symbols can occur below the 0th argument of g: g The following defined symbols can occur below the 1th argument of g: g Hence, the left-hand sides of the following rules are not basic-reachable and can be removed: g(0, 1) -> s(0) ---------------------------------------- (2) 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)) -> f(g(x, x)) 0 -> 1 S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) 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: 0 ->^* 1 f(s(x0)) ->^* f(g(x0, x0)) ---------------------------------------- (4) BOUNDS(1, 1)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Runti Compl Full Rewri 10127