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TRS Standard pair #487072204
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
n190.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.053795 seconds
cpu usage
0.04409
user time
0.023595
system time
0.020495
max virtual memory
113188.0
max residence set size
5976.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S k:S l:S x:S y:S z:S) (RULES a(h,h,x:S) -> s(x:S) a(s(x:S),h,z:S) -> a(x:S,z:S,z:S) a(x:S,s(y:S),h) -> a(x:S,y:S,s(h)) a(x:S,s(y:S),s(z:S)) -> a(x:S,y:S,a(x:S,s(y:S),z:S)) app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S sum(cons(x:S,cons(y:S,l:S))) -> sum(cons(a(x:S,y:S,h),l:S)) sum(cons(x:S,nil)) -> cons(x:S,nil) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(s(x:S),h,z:S) -> A(x:S,z:S,z:S) A(x:S,s(y:S),h) -> A(x:S,y:S,s(h)) A(x:S,s(y:S),s(z:S)) -> A(x:S,s(y:S),z:S) A(x:S,s(y:S),s(z:S)) -> A(x:S,y:S,a(x:S,s(y:S),z:S)) APP(cons(x:S,l:S),k:S) -> APP(l:S,k:S) SUM(cons(x:S,cons(y:S,l:S))) -> A(x:S,y:S,h) SUM(cons(x:S,cons(y:S,l:S))) -> SUM(cons(a(x:S,y:S,h),l:S)) -> Rules: a(h,h,x:S) -> s(x:S) a(s(x:S),h,z:S) -> a(x:S,z:S,z:S) a(x:S,s(y:S),h) -> a(x:S,y:S,s(h)) a(x:S,s(y:S),s(z:S)) -> a(x:S,y:S,a(x:S,s(y:S),z:S)) app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S sum(cons(x:S,cons(y:S,l:S))) -> sum(cons(a(x:S,y:S,h),l:S)) sum(cons(x:S,nil)) -> cons(x:S,nil) Problem 1: SCC Processor: -> Pairs: A(s(x:S),h,z:S) -> A(x:S,z:S,z:S) A(x:S,s(y:S),h) -> A(x:S,y:S,s(h)) A(x:S,s(y:S),s(z:S)) -> A(x:S,s(y:S),z:S) A(x:S,s(y:S),s(z:S)) -> A(x:S,y:S,a(x:S,s(y:S),z:S)) APP(cons(x:S,l:S),k:S) -> APP(l:S,k:S) SUM(cons(x:S,cons(y:S,l:S))) -> A(x:S,y:S,h) SUM(cons(x:S,cons(y:S,l:S))) -> SUM(cons(a(x:S,y:S,h),l:S)) -> Rules: a(h,h,x:S) -> s(x:S) a(s(x:S),h,z:S) -> a(x:S,z:S,z:S) a(x:S,s(y:S),h) -> a(x:S,y:S,s(h)) a(x:S,s(y:S),s(z:S)) -> a(x:S,y:S,a(x:S,s(y:S),z:S)) app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S sum(cons(x:S,cons(y:S,l:S))) -> sum(cons(a(x:S,y:S,h),l:S)) sum(cons(x:S,nil)) -> cons(x:S,nil) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(cons(x:S,l:S),k:S) -> APP(l:S,k:S) ->->-> Rules: a(h,h,x:S) -> s(x:S) a(s(x:S),h,z:S) -> a(x:S,z:S,z:S) a(x:S,s(y:S),h) -> a(x:S,y:S,s(h)) a(x:S,s(y:S),s(z:S)) -> a(x:S,y:S,a(x:S,s(y:S),z:S)) app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S sum(cons(x:S,cons(y:S,l:S))) -> sum(cons(a(x:S,y:S,h),l:S)) sum(cons(x:S,nil)) -> cons(x:S,nil) ->->Cycle: ->->-> Pairs: A(s(x:S),h,z:S) -> A(x:S,z:S,z:S) A(x:S,s(y:S),h) -> A(x:S,y:S,s(h)) A(x:S,s(y:S),s(z:S)) -> A(x:S,s(y:S),z:S) A(x:S,s(y:S),s(z:S)) -> A(x:S,y:S,a(x:S,s(y:S),z:S)) ->->-> Rules: a(h,h,x:S) -> s(x:S) a(s(x:S),h,z:S) -> a(x:S,z:S,z:S) a(x:S,s(y:S),h) -> a(x:S,y:S,s(h)) a(x:S,s(y:S),s(z:S)) -> a(x:S,y:S,a(x:S,s(y:S),z:S)) app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S app(l:S,nil) -> l:S sum(cons(x:S,cons(y:S,l:S))) -> sum(cons(a(x:S,y:S,h),l:S)) sum(cons(x:S,nil)) -> cons(x:S,nil) ->->Cycle: ->->-> Pairs: SUM(cons(x:S,cons(y:S,l:S))) -> SUM(cons(a(x:S,y:S,h),l:S)) ->->-> Rules: a(h,h,x:S) -> s(x:S) a(s(x:S),h,z:S) -> a(x:S,z:S,z:S) a(x:S,s(y:S),h) -> a(x:S,y:S,s(h)) a(x:S,s(y:S),s(z:S)) -> a(x:S,y:S,a(x:S,s(y:S),z:S)) app(cons(x:S,l:S),k:S) -> cons(x:S,app(l:S,k:S)) app(nil,k:S) -> k:S
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