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TRS Conditional pair #516978668
details
property
value
status
complete
benchmark
404.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n064.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0963349342346 seconds
cpu usage
0.021508936
max memory
2039808.0
stage attributes
key
value
output-size
3270
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 e(0) -> ttrue e(s(x:S)) -> ffalse | e(x:S) ->* ttrue e(s(x:S)) -> ttrue | o(x:S) ->* ttrue o(0) -> ttrue o(s(x:S)) -> ffalse | o(x:S) ->* ttrue o(s(x:S)) -> ttrue | e(x:S) ->* ttrue ) Problem 1: Valid CTRS Processor: -> Rules: e(0) -> ttrue e(s(x:S)) -> ffalse | e(x:S) ->* ttrue e(s(x:S)) -> ttrue | o(x:S) ->* ttrue o(0) -> ttrue o(s(x:S)) -> ffalse | o(x:S) ->* ttrue o(s(x:S)) -> ttrue | e(x:S) ->* ttrue -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: e(0) -> ttrue e(s(x:S)) -> ffalse | e(x:S) ->* ttrue e(s(x:S)) -> ttrue | o(x:S) ->* ttrue o(0) -> ttrue o(s(x:S)) -> ffalse | o(x:S) ->* ttrue o(s(x:S)) -> ttrue | e(x:S) ->* ttrue Conditional Termination Problem 2: -> Pairs: E(s(x:S)) -> E(x:S) E(s(x:S)) -> O(x:S) O(s(x:S)) -> E(x:S) O(s(x:S)) -> O(x:S) -> QPairs: Empty -> Rules: e(0) -> ttrue e(s(x:S)) -> ffalse | e(x:S) ->* ttrue e(s(x:S)) -> ttrue | o(x:S) ->* ttrue o(0) -> ttrue o(s(x:S)) -> ffalse | o(x:S) ->* ttrue o(s(x:S)) -> ttrue | e(x:S) ->* ttrue The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: e(0) -> ttrue e(s(x:S)) -> ffalse | e(x:S) ->* ttrue e(s(x:S)) -> ttrue | o(x:S) ->* ttrue o(0) -> ttrue o(s(x:S)) -> ffalse | o(x:S) ->* ttrue o(s(x:S)) -> ttrue | e(x:S) ->* ttrue ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: E(s(x:S)) -> E(x:S) E(s(x:S)) -> O(x:S) O(s(x:S)) -> E(x:S) O(s(x:S)) -> O(x:S) -> QPairs: Empty -> Rules: e(0) -> ttrue e(s(x:S)) -> ffalse | e(x:S) ->* ttrue e(s(x:S)) -> ttrue | o(x:S) ->* ttrue
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