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SRS Standard pair #487091478
details
property
value
status
complete
benchmark
z008.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
63.2142 seconds
cpu usage
62.7657
user time
61.2593
system time
1.50639
max virtual memory
1373756.0
max residence set size
12124.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(b(a(a(x1:S)))) -> b(a(b(a(x1:S)))) a(s(x1:S)) -> s(a(x1:S)) b(a(b(b(x1:S)))) -> a(b(a(b(x1:S)))) b(a(b(s(x1:S)))) -> a(b(s(a(x1:S)))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(a(a(x1:S)))) -> A(b(a(x1:S))) A(b(a(a(x1:S)))) -> B(a(b(a(x1:S)))) A(b(a(a(x1:S)))) -> B(a(x1:S)) A(s(x1:S)) -> A(x1:S) B(a(b(b(x1:S)))) -> A(b(a(b(x1:S)))) B(a(b(b(x1:S)))) -> A(b(x1:S)) B(a(b(b(x1:S)))) -> B(a(b(x1:S))) B(a(b(s(x1:S)))) -> A(b(s(a(x1:S)))) B(a(b(s(x1:S)))) -> A(x1:S) B(a(b(s(x1:S)))) -> B(s(a(x1:S))) -> Rules: a(b(a(a(x1:S)))) -> b(a(b(a(x1:S)))) a(s(x1:S)) -> s(a(x1:S)) b(a(b(b(x1:S)))) -> a(b(a(b(x1:S)))) b(a(b(s(x1:S)))) -> a(b(s(a(x1:S)))) Problem 1: SCC Processor: -> Pairs: A(b(a(a(x1:S)))) -> A(b(a(x1:S))) A(b(a(a(x1:S)))) -> B(a(b(a(x1:S)))) A(b(a(a(x1:S)))) -> B(a(x1:S)) A(s(x1:S)) -> A(x1:S) B(a(b(b(x1:S)))) -> A(b(a(b(x1:S)))) B(a(b(b(x1:S)))) -> A(b(x1:S)) B(a(b(b(x1:S)))) -> B(a(b(x1:S))) B(a(b(s(x1:S)))) -> A(b(s(a(x1:S)))) B(a(b(s(x1:S)))) -> A(x1:S) B(a(b(s(x1:S)))) -> B(s(a(x1:S))) -> Rules: a(b(a(a(x1:S)))) -> b(a(b(a(x1:S)))) a(s(x1:S)) -> s(a(x1:S)) b(a(b(b(x1:S)))) -> a(b(a(b(x1:S)))) b(a(b(s(x1:S)))) -> a(b(s(a(x1:S)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(a(a(x1:S)))) -> A(b(a(x1:S))) A(b(a(a(x1:S)))) -> B(a(b(a(x1:S)))) A(b(a(a(x1:S)))) -> B(a(x1:S)) A(s(x1:S)) -> A(x1:S) B(a(b(b(x1:S)))) -> A(b(a(b(x1:S)))) B(a(b(b(x1:S)))) -> A(b(x1:S)) B(a(b(b(x1:S)))) -> B(a(b(x1:S))) B(a(b(s(x1:S)))) -> A(x1:S) ->->-> Rules: a(b(a(a(x1:S)))) -> b(a(b(a(x1:S)))) a(s(x1:S)) -> s(a(x1:S)) b(a(b(b(x1:S)))) -> a(b(a(b(x1:S)))) b(a(b(s(x1:S)))) -> a(b(s(a(x1:S)))) Problem 1: Reduction Pair Processor: -> Pairs: A(b(a(a(x1:S)))) -> A(b(a(x1:S))) A(b(a(a(x1:S)))) -> B(a(b(a(x1:S)))) A(b(a(a(x1:S)))) -> B(a(x1:S)) A(s(x1:S)) -> A(x1:S) B(a(b(b(x1:S)))) -> A(b(a(b(x1:S)))) B(a(b(b(x1:S)))) -> A(b(x1:S)) B(a(b(b(x1:S)))) -> B(a(b(x1:S))) B(a(b(s(x1:S)))) -> A(x1:S) -> Rules: a(b(a(a(x1:S)))) -> b(a(b(a(x1:S)))) a(s(x1:S)) -> s(a(x1:S)) b(a(b(b(x1:S)))) -> a(b(a(b(x1:S)))) b(a(b(s(x1:S)))) -> a(b(s(a(x1:S)))) -> Usable rules: a(b(a(a(x1:S)))) -> b(a(b(a(x1:S)))) a(s(x1:S)) -> s(a(x1:S)) b(a(b(b(x1:S)))) -> a(b(a(b(x1:S)))) b(a(b(s(x1:S)))) -> a(b(s(a(x1:S)))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation:
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