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TRS Standard pair #516966866
details
property
value
status
complete
benchmark
2.46.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n063.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0997309684753 seconds
cpu usage
0.078159338
max memory
3698688.0
stage attributes
key
value
output-size
3841
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(x:S)) -> B(b(x:S)) A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) -> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) Problem 1: SCC Processor: -> Pairs: A(a(x:S)) -> B(b(x:S)) A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) -> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(x:S)) -> B(b(x:S)) A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) ->->-> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) Problem 1: Reduction Pair Processor: -> Pairs: A(a(x:S)) -> B(b(x:S)) A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) -> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) -> Usable rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 2.X + 1 [b](X) = 2.X [A](X) = 2.X + 2 [B](X) = 2.X + 2 Problem 1: SCC Processor: -> Pairs: A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) -> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S))
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