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TRS Condi 20667 pair #381733198
details
property
value
status
complete
benchmark
387.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n046.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0156421661377 seconds
cpu usage
0.012334457
max memory
1503232.0
stage attributes
key
value
output-size
1680
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(x)) -> x | x -> s(0) g(s(x)) -> g(x) ) Problem 1: Valid CTRS Processor: -> Rules: f(g(x)) -> x | x -> s(0) g(s(x)) -> g(x) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: G(s(x)) -> G(x) -> QPairs: Empty -> Rules: f(g(x)) -> x | x -> s(0) g(s(x)) -> g(x) Conditional Termination Problem 2: -> Pairs: Empty -> QPairs: G(s(x)) -> G(x) -> Rules: f(g(x)) -> x | x -> s(0) g(s(x)) -> g(x) The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: G(s(x)) -> G(x) -> QPairs: Empty -> Rules: f(g(x)) -> x | x -> s(0) g(s(x)) -> g(x) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(s(x)) -> G(x) ->->-> Rules: f(g(x)) -> x | x -> s(0) g(s(x)) -> g(x) Problem 1.1: Conditional Subterm Processor: -> Pairs: G(s(x)) -> G(x) -> QPairs: Empty -> Rules: f(g(x)) -> x | x -> s(0) g(s(x)) -> g(x) ->Projection: pi(G) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: f(g(x)) -> x | x -> s(0) g(s(x)) -> g(x) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: Empty -> QPairs:
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