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TRS Innermost pair #487524036
details
property
value
status
complete
benchmark
#4.22.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
AG01_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0837721824646 seconds
cpu usage
0.033917417
max memory
1810432.0
stage attributes
key
value
output-size
1894
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 v_NonEmpty:S x:S y:S z:S) (RULES quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) -> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) Problem 1: SCC Processor: -> Pairs: QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) -> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) ->->-> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) Problem 1: Subterm Processor: -> Pairs: QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) -> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) ->Projection: pi(QUOT) = 1 Problem 1: SCC Processor: -> Pairs: QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) -> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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