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TRS Conditional pair #487562799
details
property
value
status
complete
benchmark
288.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.136057138443 seconds
cpu usage
0.054816232
max memory
3076096.0
stage attributes
key
value
output-size
11753
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 y:S) (RULES pin(a) -> pout(b) pin(b) -> pout(c) tc(x:S) -> x:S tc(x:S) -> y:S | pin(x:S) ->* pout(z), tc(z) ->* y:S ) Problem 1: Valid CTRS Processor: -> Rules: pin(a) -> pout(b) pin(b) -> pout(c) tc(x:S) -> x:S tc(x:S) -> y:S | pin(x:S) ->* pout(z), tc(z) ->* y:S -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: pin(a) -> pout(b) pin(b) -> pout(c) tc(x:S) -> x:S tc(x:S) -> y:S | pin(x:S) ->* pout(z), tc(z) ->* y:S Conditional Termination Problem 2: -> Pairs: TC(x:S) -> PIN(x:S) TC(x:S) -> TC(z) | pin(x:S) ->* pout(z) -> QPairs: Empty -> Rules: pin(a) -> pout(b) pin(b) -> pout(c) tc(x:S) -> x:S tc(x:S) -> y:S | pin(x:S) ->* pout(z), tc(z) ->* y:S The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: pin(a) -> pout(b) pin(b) -> pout(c) tc(x:S) -> x:S tc(x:S) -> y:S | pin(x:S) ->* pout(z), tc(z) ->* y:S ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: TC(x:S) -> PIN(x:S) TC(x:S) -> TC(z) | pin(x:S) ->* pout(z) -> QPairs: Empty -> Rules: pin(a) -> pout(b) pin(b) -> pout(c) tc(x:S) -> x:S tc(x:S) -> y:S | pin(x:S) ->* pout(z), tc(z) ->* y:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: TC(x:S) -> TC(z) | pin(x:S) ->* pout(z) -> QPairs: Empty ->->-> Rules: pin(a) -> pout(b) pin(b) -> pout(c) tc(x:S) -> x:S tc(x:S) -> y:S | pin(x:S) ->* pout(z), tc(z) ->* y:S Problem 1.2:
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