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TRS Conditional pair #487562841
details
property
value
status
complete
benchmark
332.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0773169994354 seconds
cpu usage
0.019539121
max memory
1630208.0
stage attributes
key
value
output-size
3399
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 v_NonEmpty:S x:S) (RULES even(0) -> ttrue even(s(x:S)) -> ffalse | odd(x:S) ->* ffalse even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(0) -> ffalse odd(s(x:S)) -> ffalse | even(x:S) ->* ffalse odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue ) Problem 1: Valid CTRS Processor: -> Rules: even(0) -> ttrue even(s(x:S)) -> ffalse | odd(x:S) ->* ffalse even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(0) -> ffalse odd(s(x:S)) -> ffalse | even(x:S) ->* ffalse 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)) -> ffalse | odd(x:S) ->* ffalse even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(0) -> ffalse odd(s(x:S)) -> ffalse | even(x:S) ->* ffalse 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)) -> ffalse | odd(x:S) ->* ffalse even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(0) -> ffalse odd(s(x:S)) -> ffalse | even(x:S) ->* ffalse 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)) -> ffalse | odd(x:S) ->* ffalse even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(0) -> ffalse odd(s(x:S)) -> ffalse | even(x:S) ->* ffalse 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)) -> ffalse | odd(x:S) ->* ffalse even(s(x:S)) -> ttrue | odd(x:S) ->* ttrue odd(0) -> ffalse odd(s(x:S)) -> ffalse | even(x:S) ->* ffalse odd(s(x:S)) -> ttrue | even(x:S) ->* ttrue ->Strongly Connected Components:
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