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TRS Stand 20472 pair #381710088
details
property
value
status
complete
benchmark
022.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n002.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0205819606781 seconds
cpu usage
0.017318204
max memory
1880064.0
stage attributes
key
value
output-size
4207
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR f x xs) (RULES app(app(mapt,f),app(leaf,x)) -> app(leaf,app(f,x)) app(app(mapt,f),app(node,xs)) -> app(node,app(app(maptlist,f),xs)) app(app(maptlist,f),app(app(cons,x),xs)) -> app(app(cons,app(app(mapt,f),x)),app(app(maptlist,f),xs)) app(app(maptlist,f),nil) -> nil ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(mapt,f),app(leaf,x)) -> app(leaf,app(f,x)) app(app(mapt,f),app(node,xs)) -> app(node,app(app(maptlist,f),xs)) app(app(maptlist,f),app(app(cons,x),xs)) -> app(app(cons,app(app(mapt,f),x)),app(app(maptlist,f),xs)) app(app(maptlist,f),nil) -> nil -> 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(mapt,f),app(leaf,x)) -> APP(leaf,app(f,x)) APP(app(mapt,f),app(leaf,x)) -> APP(f,x) APP(app(mapt,f),app(node,xs)) -> APP(app(maptlist,f),xs) APP(app(mapt,f),app(node,xs)) -> APP(node,app(app(maptlist,f),xs)) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(cons,app(app(mapt,f),x)),app(app(maptlist,f),xs)) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(mapt,f),x) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(maptlist,f),xs) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(cons,app(app(mapt,f),x)) -> Rules: app(app(mapt,f),app(leaf,x)) -> app(leaf,app(f,x)) app(app(mapt,f),app(node,xs)) -> app(node,app(app(maptlist,f),xs)) app(app(maptlist,f),app(app(cons,x),xs)) -> app(app(cons,app(app(mapt,f),x)),app(app(maptlist,f),xs)) app(app(maptlist,f),nil) -> nil Problem 1: SCC Processor: -> Pairs: APP(app(mapt,f),app(leaf,x)) -> APP(leaf,app(f,x)) APP(app(mapt,f),app(leaf,x)) -> APP(f,x) APP(app(mapt,f),app(node,xs)) -> APP(app(maptlist,f),xs) APP(app(mapt,f),app(node,xs)) -> APP(node,app(app(maptlist,f),xs)) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(cons,app(app(mapt,f),x)),app(app(maptlist,f),xs)) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(mapt,f),x) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(maptlist,f),xs) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(cons,app(app(mapt,f),x)) -> Rules: app(app(mapt,f),app(leaf,x)) -> app(leaf,app(f,x)) app(app(mapt,f),app(node,xs)) -> app(node,app(app(maptlist,f),xs)) app(app(maptlist,f),app(app(cons,x),xs)) -> app(app(cons,app(app(mapt,f),x)),app(app(maptlist,f),xs)) app(app(maptlist,f),nil) -> nil ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(mapt,f),app(leaf,x)) -> APP(f,x) APP(app(mapt,f),app(node,xs)) -> APP(app(maptlist,f),xs) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(mapt,f),x) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(maptlist,f),xs) ->->-> Rules: app(app(mapt,f),app(leaf,x)) -> app(leaf,app(f,x)) app(app(mapt,f),app(node,xs)) -> app(node,app(app(maptlist,f),xs)) app(app(maptlist,f),app(app(cons,x),xs)) -> app(app(cons,app(app(mapt,f),x)),app(app(maptlist,f),xs)) app(app(maptlist,f),nil) -> nil Problem 1: Subterm Processor: -> Pairs: APP(app(mapt,f),app(leaf,x)) -> APP(f,x) APP(app(mapt,f),app(node,xs)) -> APP(app(maptlist,f),xs) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(mapt,f),x) APP(app(maptlist,f),app(app(cons,x),xs)) -> APP(app(maptlist,f),xs) -> Rules: app(app(mapt,f),app(leaf,x)) -> app(leaf,app(f,x)) app(app(mapt,f),app(node,xs)) -> app(node,app(app(maptlist,f),xs)) app(app(maptlist,f),app(app(cons,x),xs)) -> app(app(cons,app(app(mapt,f),x)),app(app(maptlist,f),xs)) app(app(maptlist,f),nil) -> nil ->Projection: pi(APP) = 2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: app(app(mapt,f),app(leaf,x)) -> app(leaf,app(f,x))
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