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SRS Standard pair #487091142
details
property
value
status
complete
benchmark
z103.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.774083 seconds
cpu usage
0.52925
user time
0.369176
system time
0.160074
max virtual memory
707732.0
max residence set size
5708.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(d(x1:S)) -> d(b(x1:S)) a(x1:S) -> b(b(b(x1:S))) b(d(b(x1:S))) -> a(c(x1:S)) c(x1:S) -> d(x1:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(d(x1:S)) -> B(x1:S) A(x1:S) -> B(b(b(x1:S))) A(x1:S) -> B(b(x1:S)) A(x1:S) -> B(x1:S) B(d(b(x1:S))) -> A(c(x1:S)) B(d(b(x1:S))) -> C(x1:S) -> Rules: a(d(x1:S)) -> d(b(x1:S)) a(x1:S) -> b(b(b(x1:S))) b(d(b(x1:S))) -> a(c(x1:S)) c(x1:S) -> d(x1:S) Problem 1: SCC Processor: -> Pairs: A(d(x1:S)) -> B(x1:S) A(x1:S) -> B(b(b(x1:S))) A(x1:S) -> B(b(x1:S)) A(x1:S) -> B(x1:S) B(d(b(x1:S))) -> A(c(x1:S)) B(d(b(x1:S))) -> C(x1:S) -> Rules: a(d(x1:S)) -> d(b(x1:S)) a(x1:S) -> b(b(b(x1:S))) b(d(b(x1:S))) -> a(c(x1:S)) c(x1:S) -> d(x1:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(d(x1:S)) -> B(x1:S) A(x1:S) -> B(b(b(x1:S))) A(x1:S) -> B(b(x1:S)) A(x1:S) -> B(x1:S) B(d(b(x1:S))) -> A(c(x1:S)) ->->-> Rules: a(d(x1:S)) -> d(b(x1:S)) a(x1:S) -> b(b(b(x1:S))) b(d(b(x1:S))) -> a(c(x1:S)) c(x1:S) -> d(x1:S) Problem 1: Reduction Pair Processor: -> Pairs: A(d(x1:S)) -> B(x1:S) A(x1:S) -> B(b(b(x1:S))) A(x1:S) -> B(b(x1:S)) A(x1:S) -> B(x1:S) B(d(b(x1:S))) -> A(c(x1:S)) -> Rules: a(d(x1:S)) -> d(b(x1:S)) a(x1:S) -> b(b(b(x1:S))) b(d(b(x1:S))) -> a(c(x1:S)) c(x1:S) -> d(x1:S) -> Usable rules: a(d(x1:S)) -> d(b(x1:S)) a(x1:S) -> b(b(b(x1:S))) b(d(b(x1:S))) -> a(c(x1:S)) c(x1:S) -> d(x1:S) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = X [b](X) = X [c](X) = X + 2 [d](X) = X + 2 [A](X) = X + 1 [B](X) = X + 1 Problem 1: SCC Processor: -> Pairs: A(x1:S) -> B(b(b(x1:S))) A(x1:S) -> B(b(x1:S)) A(x1:S) -> B(x1:S)
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