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SRS Standard pair #516968400
details
property
value
status
complete
benchmark
z021.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n028.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.117552042007 seconds
cpu usage
0.04145217
max memory
3407872.0
stage attributes
key
value
output-size
2812
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(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) A(a(b(x1:S))) -> B(a(a(x1:S))) A(a(b(x1:S))) -> B(b(a(a(x1:S)))) B(a(x1:S)) -> A(c(b(x1:S))) B(a(x1:S)) -> B(x1:S) -> Rules: a(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) Problem 1: SCC Processor: -> Pairs: A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) A(a(b(x1:S))) -> B(a(a(x1:S))) A(a(b(x1:S))) -> B(b(a(a(x1:S)))) B(a(x1:S)) -> A(c(b(x1:S))) B(a(x1:S)) -> B(x1:S) -> Rules: a(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: B(a(x1:S)) -> B(x1:S) ->->-> Rules: a(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) ->->Cycle: ->->-> Pairs: A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) ->->-> Rules: a(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: B(a(x1:S)) -> B(x1:S) -> Rules: a(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) ->Projection: pi(B) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: a(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Reduction Pair Processor: -> Pairs: A(a(b(x1:S))) -> A(a(x1:S)) A(a(b(x1:S))) -> A(x1:S) -> Rules: a(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) -> Usable rules: a(a(b(x1:S))) -> b(b(a(a(x1:S)))) b(a(x1:S)) -> a(c(b(x1:S))) ->Interpretation type: Linear ->Coefficients:
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