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SRS Standard pair #487091112
details
property
value
status
complete
benchmark
z012.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0739771 seconds
cpu usage
0.081136
user time
0.041679
system time
0.039457
max virtual memory
113188.0
max residence set size
5548.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(b(x1:S)) -> b(c(a(x1:S))) a(x1:S) -> b(x1:S) b(x1:S) -> c(x1:S) c(b(x1:S)) -> a(x1:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(c(a(x1:S))) A(b(x1:S)) -> C(a(x1:S)) A(x1:S) -> B(x1:S) B(x1:S) -> C(x1:S) C(b(x1:S)) -> A(x1:S) -> Rules: a(b(x1:S)) -> b(c(a(x1:S))) a(x1:S) -> b(x1:S) b(x1:S) -> c(x1:S) c(b(x1:S)) -> a(x1:S) Problem 1: SCC Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(c(a(x1:S))) A(b(x1:S)) -> C(a(x1:S)) A(x1:S) -> B(x1:S) B(x1:S) -> C(x1:S) C(b(x1:S)) -> A(x1:S) -> Rules: a(b(x1:S)) -> b(c(a(x1:S))) a(x1:S) -> b(x1:S) b(x1:S) -> c(x1:S) c(b(x1:S)) -> a(x1:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(c(a(x1:S))) A(b(x1:S)) -> C(a(x1:S)) A(x1:S) -> B(x1:S) B(x1:S) -> C(x1:S) C(b(x1:S)) -> A(x1:S) ->->-> Rules: a(b(x1:S)) -> b(c(a(x1:S))) a(x1:S) -> b(x1:S) b(x1:S) -> c(x1:S) c(b(x1:S)) -> a(x1:S) Problem 1: Reduction Pair Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(c(a(x1:S))) A(b(x1:S)) -> C(a(x1:S)) A(x1:S) -> B(x1:S) B(x1:S) -> C(x1:S) C(b(x1:S)) -> A(x1:S) -> Rules: a(b(x1:S)) -> b(c(a(x1:S))) a(x1:S) -> b(x1:S) b(x1:S) -> c(x1:S) c(b(x1:S)) -> a(x1:S) -> Usable rules: a(b(x1:S)) -> b(c(a(x1:S))) a(x1:S) -> b(x1:S) b(x1:S) -> c(x1:S) c(b(x1:S)) -> a(x1:S) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 2.X + 1 [b](X) = 2.X + 1 [c](X) = X [A](X) = 2.X + 1 [B](X) = 2.X + 1 [C](X) = 2.X + 1 Problem 1: SCC Processor: -> Pairs: A(b(x1:S)) -> B(c(a(x1:S)))
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