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SRS Standard pair #487090884
details
property
value
status
complete
benchmark
multum1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.566662 seconds
cpu usage
0.518097
user time
0.355567
system time
0.16253
max virtual memory
452896.0
max residence set size
5908.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(a(b(x1:S))) -> b(a(a(a(x1:S)))) b(a(b(a(x1:S)))) -> a(b(b(x1:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(b(x1:S))) -> A(a(a(x1:S))) A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) A(a(b(x1:S))) -> B(a(a(a(x1:S)))) B(a(b(a(x1:S)))) -> A(b(b(x1:S))) B(a(b(a(x1:S)))) -> B(b(x1:S)) B(a(b(a(x1:S)))) -> B(x1:S) -> Rules: a(a(b(x1:S))) -> b(a(a(a(x1:S)))) b(a(b(a(x1:S)))) -> a(b(b(x1:S))) Problem 1: SCC Processor: -> Pairs: A(a(b(x1:S))) -> A(a(a(x1:S))) A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) A(a(b(x1:S))) -> B(a(a(a(x1:S)))) B(a(b(a(x1:S)))) -> A(b(b(x1:S))) B(a(b(a(x1:S)))) -> B(b(x1:S)) B(a(b(a(x1:S)))) -> B(x1:S) -> Rules: a(a(b(x1:S))) -> b(a(a(a(x1:S)))) b(a(b(a(x1:S)))) -> a(b(b(x1:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(b(x1:S))) -> A(a(a(x1:S))) A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) A(a(b(x1:S))) -> B(a(a(a(x1:S)))) B(a(b(a(x1:S)))) -> A(b(b(x1:S))) B(a(b(a(x1:S)))) -> B(b(x1:S)) B(a(b(a(x1:S)))) -> B(x1:S) ->->-> Rules: a(a(b(x1:S))) -> b(a(a(a(x1:S)))) b(a(b(a(x1:S)))) -> a(b(b(x1:S))) Problem 1: Reduction Pair Processor: -> Pairs: A(a(b(x1:S))) -> A(a(a(x1:S))) A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) A(a(b(x1:S))) -> B(a(a(a(x1:S)))) B(a(b(a(x1:S)))) -> A(b(b(x1:S))) B(a(b(a(x1:S)))) -> B(b(x1:S)) B(a(b(a(x1:S)))) -> B(x1:S) -> Rules: a(a(b(x1:S))) -> b(a(a(a(x1:S)))) b(a(b(a(x1:S)))) -> a(b(b(x1:S))) -> Usable rules: a(a(b(x1:S))) -> b(a(a(a(x1:S)))) b(a(b(a(x1:S)))) -> a(b(b(x1:S))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = X [b](X) = 2.X + 2 [A](X) = X [B](X) = 2.X + 2 Problem 1: SCC Processor: -> Pairs: A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) A(a(b(x1:S))) -> B(a(a(a(x1:S)))) B(a(b(a(x1:S)))) -> A(b(b(x1:S))) B(a(b(a(x1:S)))) -> B(b(x1:S)) B(a(b(a(x1:S)))) -> B(x1:S) -> Rules: a(a(b(x1:S))) -> b(a(a(a(x1:S)))) b(a(b(a(x1:S)))) -> a(b(b(x1:S))) ->Strongly Connected Components: ->->Cycle:
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