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Runti Compl Inner Rewri 22807 pair #381904421
details
property
value
status
complete
benchmark
cime4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n033.star.cs.uiowa.edu
space
Secret_05_TRS
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.5061249733 seconds
cpu usage
3.17312181
max memory
2.0680704E8
stage attributes
key
value
output-size
1612
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1).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: g(X) -> u(h(X), h(X), X) u(d, c(Y), X) -> k(Y) h(d) -> c(a) h(d) -> c(b) f(k(a), k(b), X) -> f(X, X, 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: u(d, c(x0), x1) ->^* k(x0) g(d) ->^* u(c(b), c(b), d) g(d) ->^* u(c(a), c(b), d) g(d) ->^* u(c(b), c(a), d) g(d) ->^* u(c(a), c(a), d) g(d) ->^* u(c(b), c(b), d) g(d) ->^* u(c(b), c(a), d) g(d) ->^* u(c(a), c(b), d) g(d) ->^* u(c(a), c(a), d) h(d) ->^* c(b) h(d) ->^* c(a) f(k(a), k(b), x0) ->^* f(x0, x0, x0) ---------------------------------------- (2) BOUNDS(1, 1)
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