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TRS Stand 20472 pair #381712293
details
property
value
status
complete
benchmark
18.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
Der95
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0170331001282 seconds
cpu usage
0.014134652
max memory
1499136.0
stage attributes
key
value
output-size
1324
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 x y z) (RULES *(x,+(y,z)) -> +(*(x,y),*(x,z)) ) Problem 1: Innermost Equivalent Processor: -> Rules: *(x,+(y,z)) -> +(*(x,y),*(x,z)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: *#(x,+(y,z)) -> *#(x,y) *#(x,+(y,z)) -> *#(x,z) -> Rules: *(x,+(y,z)) -> +(*(x,y),*(x,z)) Problem 1: SCC Processor: -> Pairs: *#(x,+(y,z)) -> *#(x,y) *#(x,+(y,z)) -> *#(x,z) -> Rules: *(x,+(y,z)) -> +(*(x,y),*(x,z)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: *#(x,+(y,z)) -> *#(x,y) *#(x,+(y,z)) -> *#(x,z) ->->-> Rules: *(x,+(y,z)) -> +(*(x,y),*(x,z)) Problem 1: Subterm Processor: -> Pairs: *#(x,+(y,z)) -> *#(x,y) *#(x,+(y,z)) -> *#(x,z) -> Rules: *(x,+(y,z)) -> +(*(x,y),*(x,z)) ->Projection: pi(*#) = 2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: *(x,+(y,z)) -> +(*(x,y),*(x,z)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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