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TRS Conditional pair #487562867
details
property
value
status
complete
benchmark
324.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
101.054668903 seconds
cpu usage
100.90535853
max memory
3.52751616E8
stage attributes
key
value
output-size
3182
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO Problem 1: (VAR v_NonEmpty:S x:S) (RULES eq(x:S,x:S) -> eq(T,T) even(0) -> ttrue even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) odd(0) -> ffalse odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) ) Problem 1: Valid CTRS Processor: -> Rules: eq(x:S,x:S) -> eq(T,T) even(0) -> ttrue even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) odd(0) -> ffalse odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: EQ(x:S,x:S) -> EQ(T,T) -> QPairs: Empty -> Rules: eq(x:S,x:S) -> eq(T,T) even(0) -> ttrue even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) odd(0) -> ffalse odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) Conditional Termination Problem 2: -> Pairs: EVEN(s(x:S)) -> EQ(odd(x:S),ffalse) EVEN(s(x:S)) -> EQ(odd(x:S),ttrue) EVEN(s(x:S)) -> ODD(x:S) ODD(s(x:S)) -> EQ(even(x:S),ffalse) ODD(s(x:S)) -> EQ(even(x:S),ttrue) ODD(s(x:S)) -> EVEN(x:S) -> QPairs: EQ(x:S,x:S) -> EQ(T,T) -> Rules: eq(x:S,x:S) -> eq(T,T) even(0) -> ttrue even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) odd(0) -> ffalse odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) Problem 1: SCC Processor: -> Pairs: EQ(x:S,x:S) -> EQ(T,T) -> QPairs: Empty -> Rules: eq(x:S,x:S) -> eq(T,T) even(0) -> ttrue even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) odd(0) -> ffalse odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: EQ(x:S,x:S) -> EQ(T,T) -> QPairs: Empty ->->-> Rules: eq(x:S,x:S) -> eq(T,T) even(0) -> ttrue even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) odd(0) -> ffalse odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T)
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