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TRS Stand 20472 pair #381709936
details
property
value
status
complete
benchmark
secret3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0540070533752 seconds
cpu usage
0.035243226
max memory
3706880.0
stage attributes
key
value
output-size
7991
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 k l x y z) (RULES a(h,h,x) -> s(x) a(s(x),h,z) -> a(x,z,z) a(x,s(y),h) -> a(x,y,s(h)) a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) app(cons(x,l),k) -> cons(x,app(l,k)) app(nil,k) -> k app(l,nil) -> l sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h),l)) sum(cons(x,nil)) -> cons(x,nil) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(s(x),h,z) -> A(x,z,z) A(x,s(y),h) -> A(x,y,s(h)) A(x,s(y),s(z)) -> A(x,s(y),z) A(x,s(y),s(z)) -> A(x,y,a(x,s(y),z)) APP(cons(x,l),k) -> APP(l,k) SUM(cons(x,cons(y,l))) -> A(x,y,h) SUM(cons(x,cons(y,l))) -> SUM(cons(a(x,y,h),l)) -> Rules: a(h,h,x) -> s(x) a(s(x),h,z) -> a(x,z,z) a(x,s(y),h) -> a(x,y,s(h)) a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) app(cons(x,l),k) -> cons(x,app(l,k)) app(nil,k) -> k app(l,nil) -> l sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h),l)) sum(cons(x,nil)) -> cons(x,nil) Problem 1: SCC Processor: -> Pairs: A(s(x),h,z) -> A(x,z,z) A(x,s(y),h) -> A(x,y,s(h)) A(x,s(y),s(z)) -> A(x,s(y),z) A(x,s(y),s(z)) -> A(x,y,a(x,s(y),z)) APP(cons(x,l),k) -> APP(l,k) SUM(cons(x,cons(y,l))) -> A(x,y,h) SUM(cons(x,cons(y,l))) -> SUM(cons(a(x,y,h),l)) -> Rules: a(h,h,x) -> s(x) a(s(x),h,z) -> a(x,z,z) a(x,s(y),h) -> a(x,y,s(h)) a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) app(cons(x,l),k) -> cons(x,app(l,k)) app(nil,k) -> k app(l,nil) -> l sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h),l)) sum(cons(x,nil)) -> cons(x,nil) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(cons(x,l),k) -> APP(l,k) ->->-> Rules: a(h,h,x) -> s(x) a(s(x),h,z) -> a(x,z,z) a(x,s(y),h) -> a(x,y,s(h)) a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) app(cons(x,l),k) -> cons(x,app(l,k)) app(nil,k) -> k app(l,nil) -> l sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h),l)) sum(cons(x,nil)) -> cons(x,nil) ->->Cycle: ->->-> Pairs: A(s(x),h,z) -> A(x,z,z) A(x,s(y),h) -> A(x,y,s(h)) A(x,s(y),s(z)) -> A(x,s(y),z) A(x,s(y),s(z)) -> A(x,y,a(x,s(y),z)) ->->-> Rules: a(h,h,x) -> s(x) a(s(x),h,z) -> a(x,z,z) a(x,s(y),h) -> a(x,y,s(h)) a(x,s(y),s(z)) -> a(x,y,a(x,s(y),z)) app(cons(x,l),k) -> cons(x,app(l,k)) app(nil,k) -> k app(l,nil) -> l sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h),l)) sum(cons(x,nil)) -> cons(x,nil) ->->Cycle: ->->-> Pairs: SUM(cons(x,cons(y,l))) -> SUM(cons(a(x,y,h),l)) ->->-> Rules:
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