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TRS Standard pair #487068609
details
property
value
status
complete
benchmark
z04.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.017684 seconds
cpu usage
0.018206
user time
0.007018
system time
0.011188
max virtual memory
113188.0
max residence set size
4172.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES a(f,a(f,x:S)) -> a(x:S,x:S) a(h,x:S) -> a(f,a(g,a(f,x:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(f,a(f,x:S)) -> A(x:S,x:S) A(h,x:S) -> A(f,a(g,a(f,x:S))) A(h,x:S) -> A(f,x:S) A(h,x:S) -> A(g,a(f,x:S)) -> Rules: a(f,a(f,x:S)) -> a(x:S,x:S) a(h,x:S) -> a(f,a(g,a(f,x:S))) Problem 1: SCC Processor: -> Pairs: A(f,a(f,x:S)) -> A(x:S,x:S) A(h,x:S) -> A(f,a(g,a(f,x:S))) A(h,x:S) -> A(f,x:S) A(h,x:S) -> A(g,a(f,x:S)) -> Rules: a(f,a(f,x:S)) -> a(x:S,x:S) a(h,x:S) -> a(f,a(g,a(f,x:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(f,a(f,x:S)) -> A(x:S,x:S) A(h,x:S) -> A(f,x:S) ->->-> Rules: a(f,a(f,x:S)) -> a(x:S,x:S) a(h,x:S) -> a(f,a(g,a(f,x:S))) Problem 1: Subterm Processor: -> Pairs: A(f,a(f,x:S)) -> A(x:S,x:S) A(h,x:S) -> A(f,x:S) -> Rules: a(f,a(f,x:S)) -> a(x:S,x:S) a(h,x:S) -> a(f,a(g,a(f,x:S))) ->Projection: pi(A) = 2 Problem 1: SCC Processor: -> Pairs: A(h,x:S) -> A(f,x:S) -> Rules: a(f,a(f,x:S)) -> a(x:S,x:S) a(h,x:S) -> a(f,a(g,a(f,x:S))) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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