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TRS Standard pair #487073724
details
property
value
status
complete
benchmark
09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0210709 seconds
cpu usage
0.019062
user time
0.004843
system time
0.014219
max virtual memory
0.0
max residence set size
4176.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES .(.(x:S,y:S),z:S) -> .(x:S,.(y:S,z:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: .#(.(x:S,y:S),z:S) -> .#(x:S,.(y:S,z:S)) .#(.(x:S,y:S),z:S) -> .#(y:S,z:S) -> Rules: .(.(x:S,y:S),z:S) -> .(x:S,.(y:S,z:S)) Problem 1: SCC Processor: -> Pairs: .#(.(x:S,y:S),z:S) -> .#(x:S,.(y:S,z:S)) .#(.(x:S,y:S),z:S) -> .#(y:S,z:S) -> Rules: .(.(x:S,y:S),z:S) -> .(x:S,.(y:S,z:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: .#(.(x:S,y:S),z:S) -> .#(x:S,.(y:S,z:S)) .#(.(x:S,y:S),z:S) -> .#(y:S,z:S) ->->-> Rules: .(.(x:S,y:S),z:S) -> .(x:S,.(y:S,z:S)) Problem 1: Subterm Processor: -> Pairs: .#(.(x:S,y:S),z:S) -> .#(x:S,.(y:S,z:S)) .#(.(x:S,y:S),z:S) -> .#(y:S,z:S) -> Rules: .(.(x:S,y:S),z:S) -> .(x:S,.(y:S,z:S)) ->Projection: pi(.#) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: .(.(x:S,y:S),z:S) -> .(x:S,.(y:S,z:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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