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TRS Stand 20472 pair #381713249
details
property
value
status
complete
benchmark
#3.41.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0494349002838 seconds
cpu usage
0.040393687
max memory
3076096.0
stage attributes
key
value
output-size
1694
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x) (RULES fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x ) Problem 1: Innermost Equivalent Processor: -> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: FAC(s(x)) -> FAC(p(s(x))) FAC(s(x)) -> P(s(x)) -> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x Problem 1: SCC Processor: -> Pairs: FAC(s(x)) -> FAC(p(s(x))) FAC(s(x)) -> P(s(x)) -> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: FAC(s(x)) -> FAC(p(s(x))) ->->-> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x Problem 1: Reduction Pairs Processor: -> Pairs: FAC(s(x)) -> FAC(p(s(x))) -> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x -> Usable rules: p(s(x)) -> x ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [p](X) = 1/2.X [s](X) = 2.X + 1/2 [FAC](X) = 2.X Problem 1: SCC Processor: -> Pairs: Empty -> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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