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TRS Standard pair #487070094
details
property
value
status
complete
benchmark
Ex3_12_Luc96a_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0178761 seconds
cpu usage
0.018362
user time
0.009199
system time
0.009163
max virtual memory
113188.0
max residence set size
4232.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S Y:S Z:S) (RULES activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__from(X:S)) -> FROM(X:S) SEL(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) -> Rules: activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__from(X:S)) -> FROM(X:S) SEL(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) -> Rules: activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) ->->-> Rules: activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) Problem 1: Subterm Processor: -> Pairs: SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) -> Rules: activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ->Projection: pi(SEL) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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