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Runti Compl Inner Rewri 22807 pair #381904907
details
property
value
status
complete
benchmark
#3.33.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n056.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.5420601368 seconds
cpu usage
3.448216527
max memory
2.10313216E8
stage attributes
key
value
output-size
1403
starexec-result
WORST_CASE(?, O(1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1).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 (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1). The TRS R consists of the following rules: p(f(f(x))) -> q(f(g(x))) p(g(g(x))) -> q(g(f(x))) q(f(f(x))) -> p(f(g(x))) q(g(g(x))) -> p(g(f(x))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (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: q(g(g(x0))) ->^* p(g(f(x0))) q(f(f(x0))) ->^* p(f(g(x0))) p(g(g(x0))) ->^* q(g(f(x0))) p(f(f(x0))) ->^* q(f(g(x0))) ---------------------------------------- (2) BOUNDS(1, 1)
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