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TRS_Contextsensitive 2019-03-21 05.07 pair #429996964
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
n055.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
2.1911 seconds
cpu usage
2.17251
user time
1.92626
system time
0.246253
max virtual memory
703076.0
max residence set size
17964.0
stage attributes
key
value
starexec-result
YES
output
2.06/2.18 YES 2.06/2.18 2.06/2.18 Problem 1: 2.06/2.18 2.06/2.18 (VAR IL L M N T) 2.06/2.18 (STRATEGY CONTEXTSENSITIVE 2.06/2.18 (and 1 2) 2.06/2.18 (isNat) 2.06/2.18 (isNatIList) 2.06/2.18 (isNatList) 2.06/2.18 (length 1) 2.06/2.18 (take 1 2) 2.06/2.18 (uLength 1) 2.06/2.18 (uTake1 1) 2.06/2.18 (uTake2 1) 2.06/2.18 (zeros) 2.06/2.18 (0) 2.06/2.18 (cons 1) 2.06/2.18 (nil) 2.06/2.18 (s 1) 2.06/2.18 (tt) 2.06/2.18 ) 2.06/2.18 (RULES 2.06/2.18 and(tt,T) -> T 2.06/2.18 isNat(length(L)) -> isNatList(L) 2.06/2.18 isNat(0) -> tt 2.06/2.18 isNat(s(N)) -> isNat(N) 2.06/2.18 isNatIList(zeros) -> tt 2.06/2.18 isNatIList(cons(N,IL)) -> and(isNat(N),isNatIList(IL)) 2.06/2.18 isNatIList(IL) -> isNatList(IL) 2.06/2.18 isNatList(take(N,IL)) -> and(isNat(N),isNatIList(IL)) 2.06/2.18 isNatList(cons(N,L)) -> and(isNat(N),isNatList(L)) 2.06/2.18 isNatList(nil) -> tt 2.06/2.18 length(cons(N,L)) -> uLength(and(isNat(N),isNatList(L)),L) 2.06/2.18 take(0,IL) -> uTake1(isNatIList(IL)) 2.06/2.18 take(s(M),cons(N,IL)) -> uTake2(and(isNat(M),and(isNat(N),isNatIList(IL))),M,N,IL) 2.06/2.18 uLength(tt,L) -> s(length(L)) 2.06/2.18 uTake1(tt) -> nil 2.06/2.18 uTake2(tt,M,N,IL) -> cons(N,take(M,IL)) 2.06/2.18 zeros -> cons(0,zeros) 2.06/2.18 ) 2.06/2.18 2.06/2.18 Problem 1: 2.06/2.18 2.06/2.18 Dependency Pairs Processor: 2.06/2.18 -> Pairs: 2.06/2.18 ISNAT(length(L)) -> ISNATLIST(L) 2.06/2.18 ISNAT(s(N)) -> ISNAT(N) 2.06/2.18 ISNATILIST(cons(N,IL)) -> AND(isNat(N),isNatIList(IL)) 2.06/2.18 ISNATILIST(cons(N,IL)) -> ISNAT(N) 2.06/2.18 ISNATILIST(cons(N,IL)) -> ISNATILIST(IL) 2.06/2.18 ISNATILIST(IL) -> ISNATLIST(IL) 2.06/2.18 ISNATLIST(take(N,IL)) -> AND(isNat(N),isNatIList(IL)) 2.06/2.18 ISNATLIST(take(N,IL)) -> ISNAT(N) 2.06/2.18 ISNATLIST(take(N,IL)) -> ISNATILIST(IL) 2.06/2.18 ISNATLIST(cons(N,L)) -> AND(isNat(N),isNatList(L)) 2.06/2.18 ISNATLIST(cons(N,L)) -> ISNAT(N) 2.06/2.18 ISNATLIST(cons(N,L)) -> ISNATLIST(L) 2.06/2.18 LENGTH(cons(N,L)) -> AND(isNat(N),isNatList(L)) 2.06/2.18 LENGTH(cons(N,L)) -> ISNAT(N) 2.06/2.18 LENGTH(cons(N,L)) -> ISNATLIST(L) 2.06/2.18 LENGTH(cons(N,L)) -> ULENGTH(and(isNat(N),isNatList(L)),L) 2.06/2.18 TAKE(0,IL) -> ISNATILIST(IL) 2.06/2.18 TAKE(0,IL) -> UTAKE1(isNatIList(IL)) 2.06/2.18 TAKE(s(M),cons(N,IL)) -> AND(isNat(M),and(isNat(N),isNatIList(IL))) 2.06/2.18 TAKE(s(M),cons(N,IL)) -> AND(isNat(N),isNatIList(IL)) 2.06/2.18 TAKE(s(M),cons(N,IL)) -> ISNAT(M) 2.06/2.18 TAKE(s(M),cons(N,IL)) -> ISNAT(N) 2.06/2.18 TAKE(s(M),cons(N,IL)) -> ISNATILIST(IL) 2.06/2.18 TAKE(s(M),cons(N,IL)) -> UTAKE2(and(isNat(M),and(isNat(N),isNatIList(IL))),M,N,IL) 2.06/2.18 ULENGTH(tt,L) -> LENGTH(L) 2.06/2.18 ULENGTH(tt,L) -> L 2.06/2.18 UTAKE2(tt,M,N,IL) -> N 2.06/2.18 -> Rules: 2.06/2.18 and(tt,T) -> T 2.06/2.18 isNat(length(L)) -> isNatList(L) 2.06/2.18 isNat(0) -> tt 2.06/2.18 isNat(s(N)) -> isNat(N) 2.06/2.18 isNatIList(zeros) -> tt 2.06/2.18 isNatIList(cons(N,IL)) -> and(isNat(N),isNatIList(IL)) 2.06/2.18 isNatIList(IL) -> isNatList(IL) 2.06/2.18 isNatList(take(N,IL)) -> and(isNat(N),isNatIList(IL)) 2.06/2.18 isNatList(cons(N,L)) -> and(isNat(N),isNatList(L)) 2.06/2.18 isNatList(nil) -> tt 2.06/2.18 length(cons(N,L)) -> uLength(and(isNat(N),isNatList(L)),L) 2.06/2.18 take(0,IL) -> uTake1(isNatIList(IL)) 2.06/2.18 take(s(M),cons(N,IL)) -> uTake2(and(isNat(M),and(isNat(N),isNatIList(IL))),M,N,IL) 2.06/2.18 uLength(tt,L) -> s(length(L)) 2.06/2.18 uTake1(tt) -> nil 2.06/2.18 uTake2(tt,M,N,IL) -> cons(N,take(M,IL)) 2.06/2.18 zeros -> cons(0,zeros) 2.06/2.18 -> Unhiding Rules: 2.06/2.18 take(M,IL) -> TAKE(M,IL) 2.06/2.18 take(M,x5) -> x5 2.06/2.18 take(x5,IL) -> x5 2.06/2.18 zeros -> ZEROS 2.06/2.18 2.06/2.18 Problem 1: 2.06/2.18 2.06/2.18 SCC Processor:
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