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TRS Condi 20667 pair #381732990
details
property
value
status
complete
benchmark
sche128.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n113.star.cs.uiowa.edu
space
Mixed_CTRS_2014
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.168440818787 seconds
cpu usage
0.149570579
max memory
3.2518144E7
stage attributes
key
value
output-size
3231
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 x) (RULES f(g(a)) -> g(b) g(a) -> b h(x) -> h(g(x)) | f(x) -> g(x) ) Problem 1: Valid CTRS Processor: -> Rules: f(g(a)) -> g(b) g(a) -> b h(x) -> h(g(x)) | f(x) -> g(x) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: F(g(a)) -> G(b) H(x) -> G(x) | f(x) -> g(x) H(x) -> H(g(x)) | f(x) -> g(x) -> QPairs: Empty -> Rules: f(g(a)) -> g(b) g(a) -> b h(x) -> h(g(x)) | f(x) -> g(x) Conditional Termination Problem 2: -> Pairs: H(x) -> F(x) -> QPairs: F(g(a)) -> G(b) H(x) -> G(x) | f(x) -> g(x) H(x) -> H(g(x)) | f(x) -> g(x) -> Rules: f(g(a)) -> g(b) g(a) -> b h(x) -> h(g(x)) | f(x) -> g(x) The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: F(g(a)) -> G(b) H(x) -> G(x) | f(x) -> g(x) H(x) -> H(g(x)) | f(x) -> g(x) -> QPairs: Empty -> Rules: f(g(a)) -> g(b) g(a) -> b h(x) -> h(g(x)) | f(x) -> g(x) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: H(x) -> H(g(x)) | f(x) -> g(x) ->->-> Rules: f(g(a)) -> g(b) g(a) -> b h(x) -> h(g(x)) | f(x) -> g(x) Problem 1.1: Reduction Triple Processor: -> Pairs: H(x) -> H(g(x)) | f(x) -> g(x) -> QPairs: Empty -> Rules: f(g(a)) -> g(b) g(a) -> b h(x) -> h(g(x)) | f(x) -> g(x) -> Usable rules: f(g(a)) -> g(b) g(a) -> b ->Interpretation type: Linear ->Coefficients: Integer Numbers ->Dimension: 1 ->Convex Domain: D[(x_1)] = ((1 >= 0) /\ (1+x_1 >= 0))
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