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SRS Standard pair #487091538
details
property
value
status
complete
benchmark
z117.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)
1.25853 seconds
cpu usage
1.1591
user time
0.907248
system time
0.251849
max virtual memory
696340.0
max residence set size
7596.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES b(d(d(x1:S))) -> c(c(d(d(c(x1:S))))) b(x1:S) -> a(a(a(x1:S))) c(d(c(x1:S))) -> a(d(x1:S)) d(a(x1:S)) -> b(d(x1:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: B(d(d(x1:S))) -> C(c(d(d(c(x1:S))))) B(d(d(x1:S))) -> C(d(d(c(x1:S)))) B(d(d(x1:S))) -> C(x1:S) B(d(d(x1:S))) -> D(c(x1:S)) B(d(d(x1:S))) -> D(d(c(x1:S))) C(d(c(x1:S))) -> D(x1:S) D(a(x1:S)) -> B(d(x1:S)) D(a(x1:S)) -> D(x1:S) -> Rules: b(d(d(x1:S))) -> c(c(d(d(c(x1:S))))) b(x1:S) -> a(a(a(x1:S))) c(d(c(x1:S))) -> a(d(x1:S)) d(a(x1:S)) -> b(d(x1:S)) Problem 1: SCC Processor: -> Pairs: B(d(d(x1:S))) -> C(c(d(d(c(x1:S))))) B(d(d(x1:S))) -> C(d(d(c(x1:S)))) B(d(d(x1:S))) -> C(x1:S) B(d(d(x1:S))) -> D(c(x1:S)) B(d(d(x1:S))) -> D(d(c(x1:S))) C(d(c(x1:S))) -> D(x1:S) D(a(x1:S)) -> B(d(x1:S)) D(a(x1:S)) -> D(x1:S) -> Rules: b(d(d(x1:S))) -> c(c(d(d(c(x1:S))))) b(x1:S) -> a(a(a(x1:S))) c(d(c(x1:S))) -> a(d(x1:S)) d(a(x1:S)) -> b(d(x1:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: B(d(d(x1:S))) -> C(c(d(d(c(x1:S))))) B(d(d(x1:S))) -> C(d(d(c(x1:S)))) B(d(d(x1:S))) -> C(x1:S) B(d(d(x1:S))) -> D(c(x1:S)) B(d(d(x1:S))) -> D(d(c(x1:S))) C(d(c(x1:S))) -> D(x1:S) D(a(x1:S)) -> B(d(x1:S)) D(a(x1:S)) -> D(x1:S) ->->-> Rules: b(d(d(x1:S))) -> c(c(d(d(c(x1:S))))) b(x1:S) -> a(a(a(x1:S))) c(d(c(x1:S))) -> a(d(x1:S)) d(a(x1:S)) -> b(d(x1:S)) Problem 1: Reduction Pair Processor: -> Pairs: B(d(d(x1:S))) -> C(c(d(d(c(x1:S))))) B(d(d(x1:S))) -> C(d(d(c(x1:S)))) B(d(d(x1:S))) -> C(x1:S) B(d(d(x1:S))) -> D(c(x1:S)) B(d(d(x1:S))) -> D(d(c(x1:S))) C(d(c(x1:S))) -> D(x1:S) D(a(x1:S)) -> B(d(x1:S)) D(a(x1:S)) -> D(x1:S) -> Rules: b(d(d(x1:S))) -> c(c(d(d(c(x1:S))))) b(x1:S) -> a(a(a(x1:S))) c(d(c(x1:S))) -> a(d(x1:S)) d(a(x1:S)) -> b(d(x1:S)) -> Usable rules: b(d(d(x1:S))) -> c(c(d(d(c(x1:S))))) b(x1:S) -> a(a(a(x1:S))) c(d(c(x1:S))) -> a(d(x1:S)) d(a(x1:S)) -> b(d(x1:S)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [b](X) = X [c](X) = X [d](X) = 2.X + 2 [a](X) = X
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