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SRS Standard pair #487091586
details
property
value
status
complete
benchmark
z108.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.93957 seconds
cpu usage
1.64774
user time
1.16729
system time
0.480448
max virtual memory
705868.0
max residence set size
6980.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(a(x1:S)) -> b(c(x1:S)) b(b(x1:S)) -> c(d(x1:S)) c(c(x1:S)) -> d(d(d(x1:S))) d(d(d(x1:S))) -> a(c(x1:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(x1:S)) -> B(c(x1:S)) A(a(x1:S)) -> C(x1:S) B(b(x1:S)) -> C(d(x1:S)) B(b(x1:S)) -> D(x1:S) C(c(x1:S)) -> D(d(d(x1:S))) C(c(x1:S)) -> D(d(x1:S)) C(c(x1:S)) -> D(x1:S) D(d(d(x1:S))) -> A(c(x1:S)) D(d(d(x1:S))) -> C(x1:S) -> Rules: a(a(x1:S)) -> b(c(x1:S)) b(b(x1:S)) -> c(d(x1:S)) c(c(x1:S)) -> d(d(d(x1:S))) d(d(d(x1:S))) -> a(c(x1:S)) Problem 1: SCC Processor: -> Pairs: A(a(x1:S)) -> B(c(x1:S)) A(a(x1:S)) -> C(x1:S) B(b(x1:S)) -> C(d(x1:S)) B(b(x1:S)) -> D(x1:S) C(c(x1:S)) -> D(d(d(x1:S))) C(c(x1:S)) -> D(d(x1:S)) C(c(x1:S)) -> D(x1:S) D(d(d(x1:S))) -> A(c(x1:S)) D(d(d(x1:S))) -> C(x1:S) -> Rules: a(a(x1:S)) -> b(c(x1:S)) b(b(x1:S)) -> c(d(x1:S)) c(c(x1:S)) -> d(d(d(x1:S))) d(d(d(x1:S))) -> a(c(x1:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(x1:S)) -> B(c(x1:S)) A(a(x1:S)) -> C(x1:S) B(b(x1:S)) -> C(d(x1:S)) B(b(x1:S)) -> D(x1:S) C(c(x1:S)) -> D(d(d(x1:S))) C(c(x1:S)) -> D(d(x1:S)) C(c(x1:S)) -> D(x1:S) D(d(d(x1:S))) -> A(c(x1:S)) D(d(d(x1:S))) -> C(x1:S) ->->-> Rules: a(a(x1:S)) -> b(c(x1:S)) b(b(x1:S)) -> c(d(x1:S)) c(c(x1:S)) -> d(d(d(x1:S))) d(d(d(x1:S))) -> a(c(x1:S)) Problem 1: Reduction Pair Processor: -> Pairs: A(a(x1:S)) -> B(c(x1:S)) A(a(x1:S)) -> C(x1:S) B(b(x1:S)) -> C(d(x1:S)) B(b(x1:S)) -> D(x1:S) C(c(x1:S)) -> D(d(d(x1:S))) C(c(x1:S)) -> D(d(x1:S)) C(c(x1:S)) -> D(x1:S) D(d(d(x1:S))) -> A(c(x1:S)) D(d(d(x1:S))) -> C(x1:S) -> Rules: a(a(x1:S)) -> b(c(x1:S)) b(b(x1:S)) -> c(d(x1:S)) c(c(x1:S)) -> d(d(d(x1:S))) d(d(d(x1:S))) -> a(c(x1:S)) -> Usable rules: a(a(x1:S)) -> b(c(x1:S)) b(b(x1:S)) -> c(d(x1:S)) c(c(x1:S)) -> d(d(d(x1:S))) d(d(d(x1:S))) -> a(c(x1:S)) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 4 ->Interpretation:
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