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TRS Stand 20472 pair #381713034
details
property
value
status
complete
benchmark
TreeMap.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0207459926605 seconds
cpu usage
0.017455124
max memory
1736704.0
stage attributes
key
value
output-size
3928
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR f x xs) (RULES app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(app(treemap,f),app(app(node,x),xs)) -> app(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(app(treemap,f),app(app(node,x),xs)) -> app(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(map,f),app(app(cons,x),xs)) -> APP(app(cons,app(f,x)),app(app(map,f),xs)) APP(app(map,f),app(app(cons,x),xs)) -> APP(app(map,f),xs) APP(app(map,f),app(app(cons,x),xs)) -> APP(cons,app(f,x)) APP(app(map,f),app(app(cons,x),xs)) -> APP(f,x) APP(app(treemap,f),app(app(node,x),xs)) -> APP(app(map,app(treemap,f)),xs) APP(app(treemap,f),app(app(node,x),xs)) -> APP(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) APP(app(treemap,f),app(app(node,x),xs)) -> APP(node,app(f,x)) APP(app(treemap,f),app(app(node,x),xs)) -> APP(f,x) -> Rules: app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(app(treemap,f),app(app(node,x),xs)) -> app(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) Problem 1: SCC Processor: -> Pairs: APP(app(map,f),app(app(cons,x),xs)) -> APP(app(cons,app(f,x)),app(app(map,f),xs)) APP(app(map,f),app(app(cons,x),xs)) -> APP(app(map,f),xs) APP(app(map,f),app(app(cons,x),xs)) -> APP(cons,app(f,x)) APP(app(map,f),app(app(cons,x),xs)) -> APP(f,x) APP(app(treemap,f),app(app(node,x),xs)) -> APP(app(map,app(treemap,f)),xs) APP(app(treemap,f),app(app(node,x),xs)) -> APP(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) APP(app(treemap,f),app(app(node,x),xs)) -> APP(node,app(f,x)) APP(app(treemap,f),app(app(node,x),xs)) -> APP(f,x) -> Rules: app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(app(treemap,f),app(app(node,x),xs)) -> app(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(map,f),app(app(cons,x),xs)) -> APP(app(map,f),xs) APP(app(map,f),app(app(cons,x),xs)) -> APP(f,x) APP(app(treemap,f),app(app(node,x),xs)) -> APP(app(map,app(treemap,f)),xs) APP(app(treemap,f),app(app(node,x),xs)) -> APP(f,x) ->->-> Rules: app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(app(treemap,f),app(app(node,x),xs)) -> app(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) Problem 1: Subterm Processor: -> Pairs: APP(app(map,f),app(app(cons,x),xs)) -> APP(app(map,f),xs) APP(app(map,f),app(app(cons,x),xs)) -> APP(f,x) APP(app(treemap,f),app(app(node,x),xs)) -> APP(app(map,app(treemap,f)),xs) APP(app(treemap,f),app(app(node,x),xs)) -> APP(f,x) -> Rules: app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(app(treemap,f),app(app(node,x),xs)) -> app(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) ->Projection: pi(APP) = 2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(app(treemap,f),app(app(node,x),xs)) -> app(app(node,app(f,x)),app(app(map,app(treemap,f)),xs)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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