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TRS Conditional pair #487562873
details
property
value
status
complete
benchmark
364.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0821619033813 seconds
cpu usage
0.018723978
max memory
1527808.0
stage attributes
key
value
output-size
2415
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) (RULES even(0) -> ttrue even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue ) Problem 1: Valid CTRS Processor: -> Rules: even(0) -> ttrue even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: even(0) -> ttrue even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue Conditional Termination Problem 2: -> Pairs: EVEN(s(x:S)) -> ODD(x:S) ODD(s(x:S)) -> EVEN(x:S) -> QPairs: Empty -> Rules: even(0) -> ttrue even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: even(0) -> ttrue even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: EVEN(s(x:S)) -> ODD(x:S) ODD(s(x:S)) -> EVEN(x:S) -> QPairs: Empty -> Rules: even(0) -> ttrue even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: EVEN(s(x:S)) -> ODD(x:S) ODD(s(x:S)) -> EVEN(x:S) -> QPairs: Empty ->->-> Rules: even(0) -> ttrue even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue Problem 1.2: Conditional Subterm Processor: -> Pairs: EVEN(s(x:S)) -> ODD(x:S) ODD(s(x:S)) -> EVEN(x:S) -> QPairs:
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