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SRS Standard pair #487091466
details
property
value
status
complete
benchmark
z093.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0603149 seconds
cpu usage
0.059203
user time
0.034205
system time
0.024998
max virtual memory
113188.0
max residence set size
5564.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(a(a(a(x1:S)))) -> b(c(x1:S)) b(c(x1:S)) -> c(b(x1:S)) c(b(x1:S)) -> a(a(a(x1:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(a(a(x1:S)))) -> B(c(x1:S)) A(a(a(a(x1:S)))) -> C(x1:S) B(c(x1:S)) -> B(x1:S) B(c(x1:S)) -> C(b(x1:S)) C(b(x1:S)) -> A(a(a(x1:S))) C(b(x1:S)) -> A(a(x1:S)) C(b(x1:S)) -> A(x1:S) -> Rules: a(a(a(a(x1:S)))) -> b(c(x1:S)) b(c(x1:S)) -> c(b(x1:S)) c(b(x1:S)) -> a(a(a(x1:S))) Problem 1: SCC Processor: -> Pairs: A(a(a(a(x1:S)))) -> B(c(x1:S)) A(a(a(a(x1:S)))) -> C(x1:S) B(c(x1:S)) -> B(x1:S) B(c(x1:S)) -> C(b(x1:S)) C(b(x1:S)) -> A(a(a(x1:S))) C(b(x1:S)) -> A(a(x1:S)) C(b(x1:S)) -> A(x1:S) -> Rules: a(a(a(a(x1:S)))) -> b(c(x1:S)) b(c(x1:S)) -> c(b(x1:S)) c(b(x1:S)) -> a(a(a(x1:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(a(a(x1:S)))) -> B(c(x1:S)) A(a(a(a(x1:S)))) -> C(x1:S) B(c(x1:S)) -> B(x1:S) B(c(x1:S)) -> C(b(x1:S)) C(b(x1:S)) -> A(a(a(x1:S))) C(b(x1:S)) -> A(a(x1:S)) C(b(x1:S)) -> A(x1:S) ->->-> Rules: a(a(a(a(x1:S)))) -> b(c(x1:S)) b(c(x1:S)) -> c(b(x1:S)) c(b(x1:S)) -> a(a(a(x1:S))) Problem 1: Reduction Pair Processor: -> Pairs: A(a(a(a(x1:S)))) -> B(c(x1:S)) A(a(a(a(x1:S)))) -> C(x1:S) B(c(x1:S)) -> B(x1:S) B(c(x1:S)) -> C(b(x1:S)) C(b(x1:S)) -> A(a(a(x1:S))) C(b(x1:S)) -> A(a(x1:S)) C(b(x1:S)) -> A(x1:S) -> Rules: a(a(a(a(x1:S)))) -> b(c(x1:S)) b(c(x1:S)) -> c(b(x1:S)) c(b(x1:S)) -> a(a(a(x1:S))) -> Usable rules: a(a(a(a(x1:S)))) -> b(c(x1:S)) b(c(x1:S)) -> c(b(x1:S)) c(b(x1:S)) -> a(a(a(x1:S))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = X + 1 [b](X) = X + 2 [c](X) = X + 2 [A](X) = 2.X + 2 [B](X) = 2.X + 2 [C](X) = 2.X + 2 Problem 1: SCC Processor: -> Pairs: A(a(a(a(x1:S)))) -> C(x1:S) B(c(x1:S)) -> B(x1:S) B(c(x1:S)) -> C(b(x1:S))
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