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TRS Conditional pair #487562813
details
property
value
status
complete
benchmark
365.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0446889400482 seconds
cpu usage
0.017795241
max memory
1753088.0
stage attributes
key
value
output-size
2894
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 p(s(x:S)) -> x:S pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue pos(0) -> ffalse s(p(x:S)) -> x:S ) Problem 1: Valid CTRS Processor: -> Rules: p(s(x:S)) -> x:S pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue pos(0) -> ffalse s(p(x:S)) -> x:S -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: p(s(x:S)) -> x:S pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue pos(0) -> ffalse s(p(x:S)) -> x:S Conditional Termination Problem 2: -> Pairs: POS(p(x:S)) -> POS(x:S) POS(s(x:S)) -> POS(x:S) -> QPairs: Empty -> Rules: p(s(x:S)) -> x:S pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue pos(0) -> ffalse s(p(x:S)) -> x:S The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: p(s(x:S)) -> x:S pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue pos(0) -> ffalse s(p(x:S)) -> x:S ->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: p(s(x:S)) -> x:S pos(p(x:S)) -> ffalse | pos(x:S) ->* ffalse pos(s(0)) -> ttrue pos(s(x:S)) -> ttrue | pos(x:S) ->* ttrue pos(0) -> ffalse s(p(x:S)) -> x:S ->Strongly Connected Components:
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