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TRS Contextsensitive pair #487092572
details
property
value
status
complete
benchmark
Ex7_BLR02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0169921 seconds
cpu usage
0.017501
user time
0.008648
system time
0.008853
max virtual memory
113188.0
max residence set size
4988.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR N X XS) (STRATEGY CONTEXTSENSITIVE (2nd 1) (from 1) (head 1) (sel 1 2) (take 1 2) (0) (cons 1) (nil) (s 1) ) (RULES 2nd(cons(X,XS)) -> head(XS) from(X) -> cons(X,from(s(X))) head(cons(X,XS)) -> X sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) take(0,XS) -> nil take(s(N),cons(X,XS)) -> cons(X,take(N,XS)) ) Problem 1: Innermost Equivalent Processor: -> Rules: 2nd(cons(X,XS)) -> head(XS) from(X) -> cons(X,from(s(X))) head(cons(X,XS)) -> X sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) take(0,XS) -> nil take(s(N),cons(X,XS)) -> cons(X,take(N,XS)) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: 2ND(cons(X,XS)) -> HEAD(XS) 2ND(cons(X,XS)) -> XS SEL(s(N),cons(X,XS)) -> SEL(N,XS) SEL(s(N),cons(X,XS)) -> XS -> Rules: 2nd(cons(X,XS)) -> head(XS) from(X) -> cons(X,from(s(X))) head(cons(X,XS)) -> X sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) take(0,XS) -> nil take(s(N),cons(X,XS)) -> cons(X,take(N,XS)) -> Unhiding Rules: from(s(X)) -> FROM(s(X)) take(N,XS) -> TAKE(N,XS) take(N,x3) -> x3 Problem 1: SCC Processor: -> Pairs: 2ND(cons(X,XS)) -> HEAD(XS) 2ND(cons(X,XS)) -> XS SEL(s(N),cons(X,XS)) -> SEL(N,XS) SEL(s(N),cons(X,XS)) -> XS -> Rules: 2nd(cons(X,XS)) -> head(XS) from(X) -> cons(X,from(s(X))) head(cons(X,XS)) -> X sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) take(0,XS) -> nil take(s(N),cons(X,XS)) -> cons(X,take(N,XS)) -> Unhiding rules: from(s(X)) -> FROM(s(X)) take(N,XS) -> TAKE(N,XS) take(N,x3) -> x3 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: SEL(s(N),cons(X,XS)) -> SEL(N,XS) ->->-> Rules: 2nd(cons(X,XS)) -> head(XS) from(X) -> cons(X,from(s(X))) head(cons(X,XS)) -> X sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) take(0,XS) -> nil take(s(N),cons(X,XS)) -> cons(X,take(N,XS)) ->->-> Unhiding rules: Empty Problem 1: SubNColl Processor: -> Pairs:
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