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SRS Standard pair #487083096
details
property
value
status
complete
benchmark
12.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_06
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.596437 seconds
cpu usage
0.5774
user time
0.444255
system time
0.133145
max virtual memory
706800.0
max residence set size
5928.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(c(x1:S)) -> c(a(x1:S)) a(l(x1:S)) -> l(a(x1:S)) c(a(r(x1:S))) -> r(a(x1:S)) l(r(a(a(x1:S)))) -> a(a(l(c(c(c(r(x1:S))))))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(c(x1:S)) -> A(x1:S) A(c(x1:S)) -> C(a(x1:S)) A(l(x1:S)) -> A(x1:S) A(l(x1:S)) -> L(a(x1:S)) C(a(r(x1:S))) -> A(x1:S) L(r(a(a(x1:S)))) -> A(a(l(c(c(c(r(x1:S))))))) L(r(a(a(x1:S)))) -> A(l(c(c(c(r(x1:S)))))) -> Rules: a(c(x1:S)) -> c(a(x1:S)) a(l(x1:S)) -> l(a(x1:S)) c(a(r(x1:S))) -> r(a(x1:S)) l(r(a(a(x1:S)))) -> a(a(l(c(c(c(r(x1:S))))))) Problem 1: SCC Processor: -> Pairs: A(c(x1:S)) -> A(x1:S) A(c(x1:S)) -> C(a(x1:S)) A(l(x1:S)) -> A(x1:S) A(l(x1:S)) -> L(a(x1:S)) C(a(r(x1:S))) -> A(x1:S) L(r(a(a(x1:S)))) -> A(a(l(c(c(c(r(x1:S))))))) L(r(a(a(x1:S)))) -> A(l(c(c(c(r(x1:S)))))) -> Rules: a(c(x1:S)) -> c(a(x1:S)) a(l(x1:S)) -> l(a(x1:S)) c(a(r(x1:S))) -> r(a(x1:S)) l(r(a(a(x1:S)))) -> a(a(l(c(c(c(r(x1:S))))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(c(x1:S)) -> A(x1:S) A(c(x1:S)) -> C(a(x1:S)) A(l(x1:S)) -> A(x1:S) A(l(x1:S)) -> L(a(x1:S)) C(a(r(x1:S))) -> A(x1:S) L(r(a(a(x1:S)))) -> A(a(l(c(c(c(r(x1:S))))))) L(r(a(a(x1:S)))) -> A(l(c(c(c(r(x1:S)))))) ->->-> Rules: a(c(x1:S)) -> c(a(x1:S)) a(l(x1:S)) -> l(a(x1:S)) c(a(r(x1:S))) -> r(a(x1:S)) l(r(a(a(x1:S)))) -> a(a(l(c(c(c(r(x1:S))))))) Problem 1: Reduction Pair Processor: -> Pairs: A(c(x1:S)) -> A(x1:S) A(c(x1:S)) -> C(a(x1:S)) A(l(x1:S)) -> A(x1:S) A(l(x1:S)) -> L(a(x1:S)) C(a(r(x1:S))) -> A(x1:S) L(r(a(a(x1:S)))) -> A(a(l(c(c(c(r(x1:S))))))) L(r(a(a(x1:S)))) -> A(l(c(c(c(r(x1:S)))))) -> Rules: a(c(x1:S)) -> c(a(x1:S)) a(l(x1:S)) -> l(a(x1:S)) c(a(r(x1:S))) -> r(a(x1:S)) l(r(a(a(x1:S)))) -> a(a(l(c(c(c(r(x1:S))))))) -> Usable rules: a(c(x1:S)) -> c(a(x1:S)) a(l(x1:S)) -> l(a(x1:S)) c(a(r(x1:S))) -> r(a(x1:S)) l(r(a(a(x1:S)))) -> a(a(l(c(c(c(r(x1:S))))))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 2.X + 1 [c](X) = X [l](X) = 2.X + 1 [r](X) = 2.X + 1 [A](X) = 2.X + 2 [C](X) = X [L](X) = 2.X + 2
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