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TRS Conditional pair #487562931
details
property
value
status
complete
benchmark
354.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n022.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0212209224701 seconds
cpu usage
0.017231813
max memory
1519616.0
stage attributes
key
value
output-size
2569
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 pos(0) -> ffalse pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue ) Problem 1: Valid CTRS Processor: -> Rules: pos(0) -> ffalse pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: pos(0) -> ffalse pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue Conditional Termination Problem 2: -> Pairs: POS(p(x:S)) -> POS(x:S) POS(s(x:S)) -> POS(x:S) -> QPairs: Empty -> Rules: pos(0) -> ffalse pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: pos(0) -> ffalse pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: POS(p(x:S)) -> POS(x:S) POS(s(x:S)) -> POS(x:S) -> QPairs: Empty -> Rules: pos(0) -> ffalse pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: POS(p(x:S)) -> POS(x:S) POS(s(x:S)) -> POS(x:S) -> QPairs: Empty ->->-> Rules: pos(0) -> ffalse pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue
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