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TRS Contextsensitive pair #487092552
details
property
value
status
complete
benchmark
Ex4_7_37_Bor03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0421681 seconds
cpu usage
0.035467
user time
0.014493
system time
0.020974
max virtual memory
113188.0
max residence set size
5396.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR N X XS Y YS) (STRATEGY CONTEXTSENSITIVE (from 1) (minus 1 2) (quot 1 2) (sel 1 2) (zWquot 1 2) (0) (cons 1) (nil) (s 1) ) (RULES from(X) -> cons(X,from(s(X))) minus(s(X),s(Y)) -> minus(X,Y) minus(X,0) -> 0 quot(0,s(Y)) -> 0 quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),zWquot(XS,YS)) zWquot(nil,XS) -> nil zWquot(XS,nil) -> nil ) Problem 1: Dependency Pairs Processor: -> Pairs: MINUS(s(X),s(Y)) -> MINUS(X,Y) QUOT(s(X),s(Y)) -> MINUS(X,Y) QUOT(s(X),s(Y)) -> QUOT(minus(X,Y),s(Y)) SEL(s(N),cons(X,XS)) -> SEL(N,XS) SEL(s(N),cons(X,XS)) -> XS ZWQUOT(cons(X,XS),cons(Y,YS)) -> QUOT(X,Y) -> Rules: from(X) -> cons(X,from(s(X))) minus(s(X),s(Y)) -> minus(X,Y) minus(X,0) -> 0 quot(0,s(Y)) -> 0 quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),zWquot(XS,YS)) zWquot(nil,XS) -> nil zWquot(XS,nil) -> nil -> Unhiding Rules: from(s(X)) -> FROM(s(X)) zWquot(XS,YS) -> ZWQUOT(XS,YS) zWquot(XS,x5) -> x5 zWquot(x5,YS) -> x5 Problem 1: SCC Processor: -> Pairs: MINUS(s(X),s(Y)) -> MINUS(X,Y) QUOT(s(X),s(Y)) -> MINUS(X,Y) QUOT(s(X),s(Y)) -> QUOT(minus(X,Y),s(Y)) SEL(s(N),cons(X,XS)) -> SEL(N,XS) SEL(s(N),cons(X,XS)) -> XS ZWQUOT(cons(X,XS),cons(Y,YS)) -> QUOT(X,Y) -> Rules: from(X) -> cons(X,from(s(X))) minus(s(X),s(Y)) -> minus(X,Y) minus(X,0) -> 0 quot(0,s(Y)) -> 0 quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),zWquot(XS,YS)) zWquot(nil,XS) -> nil zWquot(XS,nil) -> nil -> Unhiding rules: from(s(X)) -> FROM(s(X)) zWquot(XS,YS) -> ZWQUOT(XS,YS) zWquot(XS,x5) -> x5 zWquot(x5,YS) -> x5 ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MINUS(s(X),s(Y)) -> MINUS(X,Y) ->->-> Rules: from(X) -> cons(X,from(s(X))) minus(s(X),s(Y)) -> minus(X,Y) minus(X,0) -> 0 quot(0,s(Y)) -> 0 quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) sel(0,cons(X,XS)) -> X sel(s(N),cons(X,XS)) -> sel(N,XS) zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),zWquot(XS,YS)) zWquot(nil,XS) -> nil zWquot(XS,nil) -> nil ->->-> Unhiding rules: Empty ->->Cycle:
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