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SRS Standard pair #487091490
details
property
value
status
complete
benchmark
z006.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n184.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.024036 seconds
cpu usage
0.024857
user time
0.011524
system time
0.013333
max virtual memory
113188.0
max residence set size
4208.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(a(x1:S)) B(a(x1:S)) -> A(c(b(x1:S))) B(a(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) Problem 1: SCC Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(a(x1:S)) B(a(x1:S)) -> A(c(b(x1:S))) B(a(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: B(a(x1:S)) -> B(x1:S) ->->-> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) ->->Cycle: ->->-> Pairs: A(b(x1:S)) -> A(x1:S) ->->-> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: B(a(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) ->Projection: pi(B) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Subterm Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) ->Projection: pi(A) = 1 Problem 1.2: SCC Processor: -> Pairs: Empty -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(c(b(x1:S))) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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