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Runti Compl Inner Rewri 22807 pair #381905215
details
property
value
status
complete
benchmark
Ex6_GM04_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n051.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.49187397957 seconds
cpu usage
3.207639171
max memory
2.09768448E8
stage attributes
key
value
output-size
1534
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1).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: a__c -> a__f(g(c)) a__f(g(X)) -> g(X) mark(c) -> a__c mark(f(X)) -> a__f(X) mark(g(X)) -> g(X) a__c -> c a__f(X) -> 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: mark(g(x0)) ->^* g(x0) mark(f(x0)) ->^* f(x0) mark(f(g(x0))) ->^* g(x0) mark(c) ->^* c mark(c) ->^* f(g(c)) mark(c) ->^* g(c) a__c ->^* c a__c ->^* f(g(c)) a__c ->^* g(c) a__f(x0) ->^* f(x0) a__f(g(x0)) ->^* g(x0) ---------------------------------------- (2) BOUNDS(1, 1)
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