TRS Standard pair #487071661

details

property	value
status	complete
benchmark	PALINDROME_complete_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n180.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.220964 seconds
cpu usage	0.076015
user time	0.05611
system time	0.019905
max virtual memory	113188.0
max residence set size	7888.0

stage attributes

key	value
starexec-result	YES

output

YES
Input TRS:
      1: __(__(X,Y),Z) -> __(X,__(Y,Z))
      2: __(X,nil()) -> X
      3: __(nil(),X) -> X
      4: U11(tt(),V) -> U12(isNeList(activate(V)))
      5: U12(tt()) -> tt()
      6: U21(tt(),V1,V2) -> U22(isList(activate(V1)),activate(V2))
      7: U22(tt(),V2) -> U23(isList(activate(V2)))
      8: U23(tt()) -> tt()
      9: U31(tt(),V) -> U32(isQid(activate(V)))
      10: U32(tt()) -> tt()
      11: U41(tt(),V1,V2) -> U42(isList(activate(V1)),activate(V2))
      12: U42(tt(),V2) -> U43(isNeList(activate(V2)))
      13: U43(tt()) -> tt()
      14: U51(tt(),V1,V2) -> U52(isNeList(activate(V1)),activate(V2))
      15: U52(tt(),V2) -> U53(isList(activate(V2)))
      16: U53(tt()) -> tt()
      17: U61(tt(),V) -> U62(isQid(activate(V)))
      18: U62(tt()) -> tt()
      19: U71(tt(),V) -> U72(isNePal(activate(V)))
      20: U72(tt()) -> tt()
      21: and(tt(),X) -> activate(X)
      22: isList(V) -> U11(isPalListKind(activate(V)),activate(V))
      23: isList(n__nil()) -> tt()
      24: isList(n____(V1,V2)) -> U21(and(isPalListKind(activate(V1)),n__isPalListKind(activate(V2))),activate(V1),activate(V2))
      25: isNeList(V) -> U31(isPalListKind(activate(V)),activate(V))
      26: isNeList(n____(V1,V2)) -> U41(and(isPalListKind(activate(V1)),n__isPalListKind(activate(V2))),activate(V1),activate(V2))
      27: isNeList(n____(V1,V2)) -> U51(and(isPalListKind(activate(V1)),n__isPalListKind(activate(V2))),activate(V1),activate(V2))
      28: isNePal(V) -> U61(isPalListKind(activate(V)),activate(V))
      29: isNePal(n____(I,__(P,I))) -> and(and(isQid(activate(I)),n__isPalListKind(activate(I))),n__and(isPal(activate(P)),n__isPalListKind(activate(P))))
      30: isPal(V) -> U71(isPalListKind(activate(V)),activate(V))
      31: isPal(n__nil()) -> tt()
      32: isPalListKind(n__a()) -> tt()
      33: isPalListKind(n__e()) -> tt()
      34: isPalListKind(n__i()) -> tt()
      35: isPalListKind(n__nil()) -> tt()
      36: isPalListKind(n__o()) -> tt()
      37: isPalListKind(n__u()) -> tt()
      38: isPalListKind(n____(V1,V2)) -> and(isPalListKind(activate(V1)),n__isPalListKind(activate(V2)))
      39: isQid(n__a()) -> tt()
      40: isQid(n__e()) -> tt()
      41: isQid(n__i()) -> tt()
      42: isQid(n__o()) -> tt()
      43: isQid(n__u()) -> tt()
      44: nil() -> n__nil()
      45: __(X1,X2) -> n____(X1,X2)
      46: isPalListKind(X) -> n__isPalListKind(X)
      47: and(X1,X2) -> n__and(X1,X2)
      48: a() -> n__a()
      49: e() -> n__e()
      50: i() -> n__i()
      51: o() -> n__o()
      52: u() -> n__u()
      53: activate(n__nil()) -> nil()
      54: activate(n____(X1,X2)) -> __(X1,X2)
      55: activate(n__isPalListKind(X)) -> isPalListKind(X)
      56: activate(n__and(X1,X2)) -> and(X1,X2)
      57: activate(n__a()) -> a()
      58: activate(n__e()) -> e()
      59: activate(n__i()) -> i()
      60: activate(n__o()) -> o()
      61: activate(n__u()) -> u()
      62: activate(X) -> X
Number of strict rules: 62
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #isNePal(n____(I,__(P,I))) -> #and(and(isQid(activate(I)),n__isPalListKind(activate(I))),n__and(isPal(activate(P)),n__isPalListKind(activate(P))))
     #2: #isNePal(n____(I,__(P,I))) -> #and(isQid(activate(I)),n__isPalListKind(activate(I)))
     #3: #isNePal(n____(I,__(P,I))) -> #isQid(activate(I))
     #4: #isNePal(n____(I,__(P,I))) -> #activate(I)
     #5: #isNePal(n____(I,__(P,I))) -> #activate(I)
     #6: #isNePal(n____(I,__(P,I))) -> #isPal(activate(P))
     #7: #isNePal(n____(I,__(P,I))) -> #activate(P)
     #8: #isNePal(n____(I,__(P,I))) -> #activate(P)
     #9: #activate(n__nil()) -> #nil()
     #10: #activate(n__e()) -> #e()
     #11: #activate(n__u()) -> #u()
     #12: #isPalListKind(n____(V1,V2)) -> #and(isPalListKind(activate(V1)),n__isPalListKind(activate(V2)))
     #13: #isPalListKind(n____(V1,V2)) -> #isPalListKind(activate(V1))
     #14: #isPalListKind(n____(V1,V2)) -> #activate(V1)
     #15: #isPalListKind(n____(V1,V2)) -> #activate(V2)
     #16: #U21(tt(),V1,V2) -> #U22(isList(activate(V1)),activate(V2))
     #17: #U21(tt(),V1,V2) -> #isList(activate(V1))
     #18: #U21(tt(),V1,V2) -> #activate(V1)
     #19: #U21(tt(),V1,V2) -> #activate(V2)
     #20: #activate(n__i()) -> #i()
     #21: #activate(n__isPalListKind(X)) -> #isPalListKind(X)
     #22: #U31(tt(),V) -> #U32(isQid(activate(V)))
     #23: #U31(tt(),V) -> #isQid(activate(V))
     #24: #U31(tt(),V) -> #activate(V)
     #25: #U41(tt(),V1,V2) -> #U42(isList(activate(V1)),activate(V2))
     #26: #U41(tt(),V1,V2) -> #isList(activate(V1))
     #27: #U41(tt(),V1,V2) -> #activate(V1)
     #28: #U41(tt(),V1,V2) -> #activate(V2)
     #29: #activate(n__a()) -> #a()
     #30: #isList(n____(V1,V2)) -> #U21(and(isPalListKind(activate(V1)),n__isPalListKind(activate(V2))),activate(V1),activate(V2))
     #31: #isList(n____(V1,V2)) -> #and(isPalListKind(activate(V1)),n__isPalListKind(activate(V2)))
     #32: #isList(n____(V1,V2)) -> #isPalListKind(activate(V1))

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