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TRS Contextsensitive pair #487092518
details
property
value
status
complete
benchmark
Ex4_DLMMU04.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
2.9398 seconds
cpu usage
2.85713
user time
2.48219
system time
0.37494
max virtual memory
698996.0
max residence set size
17960.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR IL L M N T) (STRATEGY CONTEXTSENSITIVE (and 1 2) (isNat) (isNatIList) (isNatList) (length 1) (take 1 2) (uLength 1) (uTake1 1) (uTake2 1) (zeros) (0) (cons 1) (nil) (s 1) (tt) ) (RULES and(tt,T) -> T isNat(length(L)) -> isNatList(L) isNat(0) -> tt isNat(s(N)) -> isNat(N) isNatIList(zeros) -> tt isNatIList(cons(N,IL)) -> and(isNat(N),isNatIList(IL)) isNatIList(IL) -> isNatList(IL) isNatList(take(N,IL)) -> and(isNat(N),isNatIList(IL)) isNatList(cons(N,L)) -> and(isNat(N),isNatList(L)) isNatList(nil) -> tt length(cons(N,L)) -> uLength(and(isNat(N),isNatList(L)),L) take(0,IL) -> uTake1(isNatIList(IL)) take(s(M),cons(N,IL)) -> uTake2(and(isNat(M),and(isNat(N),isNatIList(IL))),M,N,IL) uLength(tt,L) -> s(length(L)) uTake1(tt) -> nil uTake2(tt,M,N,IL) -> cons(N,take(M,IL)) zeros -> cons(0,zeros) ) Problem 1: Dependency Pairs Processor: -> Pairs: ISNAT(length(L)) -> ISNATLIST(L) ISNAT(s(N)) -> ISNAT(N) ISNATILIST(cons(N,IL)) -> AND(isNat(N),isNatIList(IL)) ISNATILIST(cons(N,IL)) -> ISNAT(N) ISNATILIST(cons(N,IL)) -> ISNATILIST(IL) ISNATILIST(IL) -> ISNATLIST(IL) ISNATLIST(take(N,IL)) -> AND(isNat(N),isNatIList(IL)) ISNATLIST(take(N,IL)) -> ISNAT(N) ISNATLIST(take(N,IL)) -> ISNATILIST(IL) ISNATLIST(cons(N,L)) -> AND(isNat(N),isNatList(L)) ISNATLIST(cons(N,L)) -> ISNAT(N) ISNATLIST(cons(N,L)) -> ISNATLIST(L) LENGTH(cons(N,L)) -> AND(isNat(N),isNatList(L)) LENGTH(cons(N,L)) -> ISNAT(N) LENGTH(cons(N,L)) -> ISNATLIST(L) LENGTH(cons(N,L)) -> ULENGTH(and(isNat(N),isNatList(L)),L) TAKE(0,IL) -> ISNATILIST(IL) TAKE(0,IL) -> UTAKE1(isNatIList(IL)) TAKE(s(M),cons(N,IL)) -> AND(isNat(M),and(isNat(N),isNatIList(IL))) TAKE(s(M),cons(N,IL)) -> AND(isNat(N),isNatIList(IL)) TAKE(s(M),cons(N,IL)) -> ISNAT(M) TAKE(s(M),cons(N,IL)) -> ISNAT(N) TAKE(s(M),cons(N,IL)) -> ISNATILIST(IL) TAKE(s(M),cons(N,IL)) -> UTAKE2(and(isNat(M),and(isNat(N),isNatIList(IL))),M,N,IL) ULENGTH(tt,L) -> LENGTH(L) ULENGTH(tt,L) -> L UTAKE2(tt,M,N,IL) -> N -> Rules: and(tt,T) -> T isNat(length(L)) -> isNatList(L) isNat(0) -> tt isNat(s(N)) -> isNat(N) isNatIList(zeros) -> tt isNatIList(cons(N,IL)) -> and(isNat(N),isNatIList(IL)) isNatIList(IL) -> isNatList(IL) isNatList(take(N,IL)) -> and(isNat(N),isNatIList(IL)) isNatList(cons(N,L)) -> and(isNat(N),isNatList(L)) isNatList(nil) -> tt length(cons(N,L)) -> uLength(and(isNat(N),isNatList(L)),L) take(0,IL) -> uTake1(isNatIList(IL)) take(s(M),cons(N,IL)) -> uTake2(and(isNat(M),and(isNat(N),isNatIList(IL))),M,N,IL) uLength(tt,L) -> s(length(L)) uTake1(tt) -> nil uTake2(tt,M,N,IL) -> cons(N,take(M,IL)) zeros -> cons(0,zeros) -> Unhiding Rules: take(M,IL) -> TAKE(M,IL) take(M,x5) -> x5 take(x5,IL) -> x5 zeros -> ZEROS Problem 1: SCC Processor:
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