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SRS Standard pair #487511341
details
property
value
status
complete
benchmark
02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
Zantema_06
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.493576049805 seconds
cpu usage
0.466027505
max memory
6569984.0
stage attributes
key
value
output-size
4994
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 x1:S) (RULES a(p(x1:S)) -> p(a(A(x1:S))) a(A(x1:S)) -> A(a(x1:S)) p(A(A(x1:S))) -> a(p(x1:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: a#(p(x1:S)) -> a#(A(x1:S)) a#(p(x1:S)) -> P(a(A(x1:S))) a#(A(x1:S)) -> a#(x1:S) P(A(A(x1:S))) -> a#(p(x1:S)) P(A(A(x1:S))) -> P(x1:S) -> Rules: a(p(x1:S)) -> p(a(A(x1:S))) a(A(x1:S)) -> A(a(x1:S)) p(A(A(x1:S))) -> a(p(x1:S)) Problem 1: SCC Processor: -> Pairs: a#(p(x1:S)) -> a#(A(x1:S)) a#(p(x1:S)) -> P(a(A(x1:S))) a#(A(x1:S)) -> a#(x1:S) P(A(A(x1:S))) -> a#(p(x1:S)) P(A(A(x1:S))) -> P(x1:S) -> Rules: a(p(x1:S)) -> p(a(A(x1:S))) a(A(x1:S)) -> A(a(x1:S)) p(A(A(x1:S))) -> a(p(x1:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: a#(p(x1:S)) -> a#(A(x1:S)) a#(p(x1:S)) -> P(a(A(x1:S))) a#(A(x1:S)) -> a#(x1:S) P(A(A(x1:S))) -> a#(p(x1:S)) P(A(A(x1:S))) -> P(x1:S) ->->-> Rules: a(p(x1:S)) -> p(a(A(x1:S))) a(A(x1:S)) -> A(a(x1:S)) p(A(A(x1:S))) -> a(p(x1:S)) Problem 1: Reduction Pair Processor: -> Pairs: a#(p(x1:S)) -> a#(A(x1:S)) a#(p(x1:S)) -> P(a(A(x1:S))) a#(A(x1:S)) -> a#(x1:S) P(A(A(x1:S))) -> a#(p(x1:S)) P(A(A(x1:S))) -> P(x1:S) -> Rules: a(p(x1:S)) -> p(a(A(x1:S))) a(A(x1:S)) -> A(a(x1:S)) p(A(A(x1:S))) -> a(p(x1:S)) -> Usable rules: a(p(x1:S)) -> p(a(A(x1:S))) a(A(x1:S)) -> A(a(x1:S)) p(A(A(x1:S))) -> a(p(x1:S)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = X [p](X) = X + 1 [A](X) = X [a#](X) = X + 1 [P](X) = X + 2 Problem 1: SCC Processor: -> Pairs: a#(p(x1:S)) -> P(a(A(x1:S))) a#(A(x1:S)) -> a#(x1:S) P(A(A(x1:S))) -> a#(p(x1:S)) P(A(A(x1:S))) -> P(x1:S) -> Rules: a(p(x1:S)) -> p(a(A(x1:S)))
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