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TRS Standard pair #487073844
details
property
value
status
complete
benchmark
0.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n185.star.cs.uiowa.edu
space
MNZ_10
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
14.1399 seconds
cpu usage
13.9489
user time
13.473
system time
0.475969
max virtual memory
719248.0
max residence set size
15724.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES f(g(x:S)) -> g(g(f(x:S))) f(s(s(0))) -> s(s(s(s(s(s(0)))))) f(s(0)) -> s(0) f(0) -> 0 g(s(x:S)) -> s(s(g(x:S))) g(x:S) -> h(x:S,x:S) h(f(x:S),g(x:S)) -> f(s(x:S)) s(s(s(s(s(s(s(s(0)))))))) -> f(s(s(0))) s(s(s(0))) -> f(s(0)) s(s(0)) -> f(0) s(x:S) -> h(0,x:S) s(x:S) -> h(x:S,0) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(g(x:S)) -> F(x:S) F(g(x:S)) -> G(f(x:S)) F(g(x:S)) -> G(g(f(x:S))) F(s(s(0))) -> S(s(s(s(s(s(0)))))) F(s(s(0))) -> S(s(s(s(s(0))))) F(s(s(0))) -> S(s(s(s(0)))) F(s(s(0))) -> S(s(s(0))) G(s(x:S)) -> G(x:S) G(s(x:S)) -> S(g(x:S)) G(s(x:S)) -> S(s(g(x:S))) G(x:S) -> H(x:S,x:S) H(f(x:S),g(x:S)) -> F(s(x:S)) H(f(x:S),g(x:S)) -> S(x:S) S(s(s(s(s(s(s(s(0)))))))) -> F(s(s(0))) S(s(s(0))) -> F(s(0)) S(s(0)) -> F(0) -> Rules: f(g(x:S)) -> g(g(f(x:S))) f(s(s(0))) -> s(s(s(s(s(s(0)))))) f(s(0)) -> s(0) f(0) -> 0 g(s(x:S)) -> s(s(g(x:S))) g(x:S) -> h(x:S,x:S) h(f(x:S),g(x:S)) -> f(s(x:S)) s(s(s(s(s(s(s(s(0)))))))) -> f(s(s(0))) s(s(s(0))) -> f(s(0)) s(s(0)) -> f(0) s(x:S) -> h(0,x:S) s(x:S) -> h(x:S,0) Problem 1: SCC Processor: -> Pairs: F(g(x:S)) -> F(x:S) F(g(x:S)) -> G(f(x:S)) F(g(x:S)) -> G(g(f(x:S))) F(s(s(0))) -> S(s(s(s(s(s(0)))))) F(s(s(0))) -> S(s(s(s(s(0))))) F(s(s(0))) -> S(s(s(s(0)))) F(s(s(0))) -> S(s(s(0))) G(s(x:S)) -> G(x:S) G(s(x:S)) -> S(g(x:S)) G(s(x:S)) -> S(s(g(x:S))) G(x:S) -> H(x:S,x:S) H(f(x:S),g(x:S)) -> F(s(x:S)) H(f(x:S),g(x:S)) -> S(x:S) S(s(s(s(s(s(s(s(0)))))))) -> F(s(s(0))) S(s(s(0))) -> F(s(0)) S(s(0)) -> F(0) -> Rules: f(g(x:S)) -> g(g(f(x:S))) f(s(s(0))) -> s(s(s(s(s(s(0)))))) f(s(0)) -> s(0) f(0) -> 0 g(s(x:S)) -> s(s(g(x:S))) g(x:S) -> h(x:S,x:S) h(f(x:S),g(x:S)) -> f(s(x:S)) s(s(s(s(s(s(s(s(0)))))))) -> f(s(s(0))) s(s(s(0))) -> f(s(0)) s(s(0)) -> f(0) s(x:S) -> h(0,x:S) s(x:S) -> h(x:S,0) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(g(x:S)) -> F(x:S) F(g(x:S)) -> G(f(x:S)) F(g(x:S)) -> G(g(f(x:S))) F(s(s(0))) -> S(s(s(s(s(s(0)))))) F(s(s(0))) -> S(s(s(s(s(0))))) F(s(s(0))) -> S(s(s(s(0)))) F(s(s(0))) -> S(s(s(0))) G(s(x:S)) -> G(x:S) G(s(x:S)) -> S(g(x:S)) G(s(x:S)) -> S(s(g(x:S)))
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