Input TRS: 1: __(__(X,Y),Z) -> __(X,__(Y,Z)) 2: __(X,nil()) -> X 3: __(nil(),X) -> X 4: U11(tt(),V) -> U12(isPalListKind(activate(V)),activate(V)) 5: U12(tt(),V) -> U13(isNeList(activate(V))) 6: U13(tt()) -> tt() 7: U21(tt(),V1,V2) -> U22(isPalListKind(activate(V1)),activate(V1),activate(V2)) 8: U22(tt(),V1,V2) -> U23(isPalListKind(activate(V2)),activate(V1),activate(V2)) 9: U23(tt(),V1,V2) -> U24(isPalListKind(activate(V2)),activate(V1),activate(V2)) 10: U24(tt(),V1,V2) -> U25(isList(activate(V1)),activate(V2)) 11: U25(tt(),V2) -> U26(isList(activate(V2))) 12: U26(tt()) -> tt() 13: U31(tt(),V) -> U32(isPalListKind(activate(V)),activate(V)) 14: U32(tt(),V) -> U33(isQid(activate(V))) 15: U33(tt()) -> tt() 16: U41(tt(),V1,V2) -> U42(isPalListKind(activate(V1)),activate(V1),activate(V2)) 17: U42(tt(),V1,V2) -> U43(isPalListKind(activate(V2)),activate(V1),activate(V2)) 18: U43(tt(),V1,V2) -> U44(isPalListKind(activate(V2)),activate(V1),activate(V2)) 19: U44(tt(),V1,V2) -> U45(isList(activate(V1)),activate(V2)) 20: U45(tt(),V2) -> U46(isNeList(activate(V2))) 21: U46(tt()) -> tt() 22: U51(tt(),V1,V2) -> U52(isPalListKind(activate(V1)),activate(V1),activate(V2)) 23: U52(tt(),V1,V2) -> U53(isPalListKind(activate(V2)),activate(V1),activate(V2)) 24: U53(tt(),V1,V2) -> U54(isPalListKind(activate(V2)),activate(V1),activate(V2)) 25: U54(tt(),V1,V2) -> U55(isNeList(activate(V1)),activate(V2)) 26: U55(tt(),V2) -> U56(isList(activate(V2))) 27: U56(tt()) -> tt() 28: U61(tt(),V) -> U62(isPalListKind(activate(V)),activate(V)) 29: U62(tt(),V) -> U63(isQid(activate(V))) 30: U63(tt()) -> tt() 31: U71(tt(),I,P) -> U72(isPalListKind(activate(I)),activate(P)) 32: U72(tt(),P) -> U73(isPal(activate(P)),activate(P)) 33: U73(tt(),P) -> U74(isPalListKind(activate(P))) 34: U74(tt()) -> tt() 35: U81(tt(),V) -> U82(isPalListKind(activate(V)),activate(V)) 36: U82(tt(),V) -> U83(isNePal(activate(V))) 37: U83(tt()) -> tt() 38: U91(tt(),V2) -> U92(isPalListKind(activate(V2))) 39: U92(tt()) -> tt() 40: isList(V) -> U11(isPalListKind(activate(V)),activate(V)) 41: isList(n__nil()) -> tt() 42: isList(n____(V1,V2)) -> U21(isPalListKind(activate(V1)),activate(V1),activate(V2)) 43: isNeList(V) -> U31(isPalListKind(activate(V)),activate(V)) 44: isNeList(n____(V1,V2)) -> U41(isPalListKind(activate(V1)),activate(V1),activate(V2)) 45: isNeList(n____(V1,V2)) -> U51(isPalListKind(activate(V1)),activate(V1),activate(V2)) 46: isNePal(V) -> U61(isPalListKind(activate(V)),activate(V)) 47: isNePal(n____(I,__(P,I))) -> U71(isQid(activate(I)),activate(I),activate(P)) 48: isPal(V) -> U81(isPalListKind(activate(V)),activate(V)) 49: isPal(n__nil()) -> tt() 50: isPalListKind(n__a()) -> tt() 51: isPalListKind(n__e()) -> tt() 52: isPalListKind(n__i()) -> tt() 53: isPalListKind(n__nil()) -> tt() 54: isPalListKind(n__o()) -> tt() 55: isPalListKind(n__u()) -> tt() 56: isPalListKind(n____(V1,V2)) -> U91(isPalListKind(activate(V1)),activate(V2)) 57: isQid(n__a()) -> tt() 58: isQid(n__e()) -> tt() 59: isQid(n__i()) -> tt() 60: isQid(n__o()) -> tt() 61: isQid(n__u()) -> tt() 62: nil() -> n__nil() 63: __(X1,X2) -> n____(X1,X2) 64: a() -> n__a() 65: e() -> n__e() 66: i() -> n__i() 67: o() -> n__o() 68: u() -> n__u() 69: activate(n__nil()) -> nil() 70: activate(n____(X1,X2)) -> __(X1,X2) 71: activate(n__a()) -> a() 72: activate(n__e()) -> e() 73: activate(n__i()) -> i() 74: activate(n__o()) -> o() 75: activate(n__u()) -> u() 76: activate(X) -> X Number of strict rules: 76 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #isNeList(V) -> #U31(isPalListKind(activate(V)),activate(V)) #2: #isNeList(V) -> #isPalListKind(activate(V)) #3: #isNeList(V) -> #activate(V) #4: #isNeList(V) -> #activate(V) #5: #U62(tt(),V) -> #U63(isQid(activate(V))) #6: #U62(tt(),V) -> #isQid(activate(V)) #7: #U62(tt(),V) -> #activate(V) #8: #U81(tt(),V) -> #U82(isPalListKind(activate(V)),activate(V)) #9: #U81(tt(),V) -> #isPalListKind(activate(V)) #10: #U81(tt(),V) -> #activate(V) #11: #U81(tt(),V) -> #activate(V) #12: #isNePal(V) -> #U61(isPalListKind(activate(V)),activate(V)) #13: #isNePal(V) -> #isPalListKind(activate(V)) #14: #isNePal(V) -> #activate(V) #15: #isNePal(V) -> #activate(V) #16: #isList(n____(V1,V2)) -> #U21(isPalListKind(activate(V1)),activate(V1),activate(V2)) #17: #isList(n____(V1,V2)) -> #isPalListKind(activate(V1)) #18: #isList(n____(V1,V2)) -> #activate(V1) #19: #isList(n____(V1,V2)) -> #activate(V1) #20: #isList(n____(V1,V2)) -> #activate(V2) #21: #activate(n__i()) -> #i() #22: #isNePal(n____(I,__(P,I))) -> #U71(isQid(activate(I)),activate(I),activate(P)) #23: #isNePal(n____(I,__(P,I))) -> #isQid(activate(I)) #24: #isNePal(n____(I,__(P,I))) -> #activate(I) #25: #isNePal(n____(I,__(P,I))) -> #activate(I) #26: #isNePal(n____(I,__(P,I))) -> #activate(P) #27: #activate(n__a()) -> #a() #28: #isPal(V) -> #U81(isPalListKind(activate(V)),activate(V)) #29: #isPal(V) -> #isPalListKind(activate(V)) #30: #isPal(V) -> #activate(V) #31: #isPal(V) -> #activate(V) #32: #activate(n__u()) -> #u() #33: #activate(n__o()) -> #o() #34: #U91(tt(),V2) -> #U92(isPalListKind(activate(V2))) #35: #U91(tt(),V2) -> #isPalListKind(activate(V2)) #36: #U91(tt(),V2) -> #activate(V2) #37: #isList(V) -> #U11(isPalListKind(activate(V)),activate(V)) #38: #isList(V) -> #isPalListKind(activate(V)) #39: #isList(V) -> #activate(V) #40: #isList(V) -> #activate(V) #41: #U31(tt(),V) -> #U32(isPalListKind(activate(V)),activate(V)) #42: #U31(tt(),V) -> #isPalListKind(activate(V)) #43: #U31(tt(),V) -> #activate(V) #44: #U31(tt(),V) -> #activate(V) #45: #U23(tt(),V1,V2) -> #U24(isPalListKind(activate(V2)),activate(V1),activate(V2)) #46: #U23(tt(),V1,V2) -> #isPalListKind(activate(V2)) #47: #U23(tt(),V1,V2) -> #activate(V2) #48: #U23(tt(),V1,V2) -> #activate(V1) #49: #U23(tt(),V1,V2) -> #activate(V2) #50: #U25(tt(),V2) -> #U26(isList(activate(V2))) #51: #U25(tt(),V2) -> #isList(activate(V2)) #52: #U25(tt(),V2) -> #activate(V2) #53: #U53(tt(),V1,V2) -> #U54(isPalListKind(activate(V2)),activate(V1),activate(V2)) #54: #U53(tt(),V1,V2) -> #isPalListKind(activate(V2)) #55: #U53(tt(),V1,V2) -> #activate(V2) #56: #U53(tt(),V1,V2) -> #activate(V1) #57: #U53(tt(),V1,V2) -> #activate(V2) #58: #activate(n____(X1,X2)) -> #__(X1,X2) #59: #U52(tt(),V1,V2) -> #U53(isPalListKind(activate(V2)),activate(V1),activate(V2)) #60: #U52(tt(),V1,V2) -> #isPalListKind(activate(V2)) #61: #U52(tt(),V1,V2) -> #activate(V2) #62: #U52(tt(),V1,V2) -> #activate(V1) #63: #U52(tt(),V1,V2) -> #activate(V2) #64: #isNeList(n____(V1,V2)) -> #U51(isPalListKind(activate(V1)),activate(V1),activate(V2)) #65: #isNeList(n____(V1,V2)) -> #isPalListKind(activate(V1)) #66: #isNeList(n____(V1,V2)) -> #activate(V1) #67: #isNeList(n____(V1,V2)) -> #activate(V1) #68: #isNeList(n____(V1,V2)) -> #activate(V2) #69: #activate(n__nil()) -> #nil() #70: #U71(tt(),I,P) -> #U72(isPalListKind(activate(I)),activate(P)) #71: #U71(tt(),I,P) -> #isPalListKind(activate(I)) #72: #U71(tt(),I,P) -> #activate(I) #73: #U71(tt(),I,P) -> #activate(P) #74: #isPalListKind(n____(V1,V2)) -> #U91(isPalListKind(activate(V1)),activate(V2)) #75: #isPalListKind(n____(V1,V2)) -> #isPalListKind(activate(V1)) #76: #isPalListKind(n____(V1,V2)) -> #activate(V1) #77: #isPalListKind(n____(V1,V2)) -> #activate(V2) #78: #U32(tt(),V) -> #U33(isQid(activate(V))) #79: #U32(tt(),V) -> #isQid(activate(V)) #80: #U32(tt(),V) -> #activate(V) #81: #U54(tt(),V1,V2) -> #U55(isNeList(activate(V1)),activate(V2)) #82: #U54(tt(),V1,V2) -> #isNeList(activate(V1)) #83: #U54(tt(),V1,V2) -> #activate(V1) #84: #U54(tt(),V1,V2) -> #activate(V2) #85: #U45(tt(),V2) -> #U46(isNeList(activate(V2))) #86: #U45(tt(),V2) -> #isNeList(activate(V2)) #87: #U45(tt(),V2) -> #activate(V2) #88: #U21(tt(),V1,V2) -> #U22(isPalListKind(activate(V1)),activate(V1),activate(V2)) #89: #U21(tt(),V1,V2) -> #isPalListKind(activate(V1)) #90: #U21(tt(),V1,V2) -> #activate(V1) #91: #U21(tt(),V1,V2) -> #activate(V1) #92: #U21(tt(),V1,V2) -> #activate(V2) #93: #U24(tt(),V1,V2) -> #U25(isList(activate(V1)),activate(V2)) #94: #U24(tt(),V1,V2) -> #isList(activate(V1)) #95: #U24(tt(),V1,V2) -> #activate(V1) #96: #U24(tt(),V1,V2) -> #activate(V2) #97: #U73(tt(),P) -> #U74(isPalListKind(activate(P))) #98: #U73(tt(),P) -> #isPalListKind(activate(P)) #99: #U73(tt(),P) -> #activate(P) #100: #activate(n__e()) -> #e() #101: #U12(tt(),V) -> #U13(isNeList(activate(V))) #102: #U12(tt(),V) -> #isNeList(activate(V)) #103: #U12(tt(),V) -> #activate(V) #104: #isNeList(n____(V1,V2)) -> #U41(isPalListKind(activate(V1)),activate(V1),activate(V2)) #105: #isNeList(n____(V1,V2)) -> #isPalListKind(activate(V1)) #106: #isNeList(n____(V1,V2)) -> #activate(V1) #107: #isNeList(n____(V1,V2)) -> #activate(V1) #108: #isNeList(n____(V1,V2)) -> #activate(V2) #109: #U61(tt(),V) -> #U62(isPalListKind(activate(V)),activate(V)) #110: #U61(tt(),V) -> #isPalListKind(activate(V)) #111: #U61(tt(),V) -> #activate(V) #112: #U61(tt(),V) -> #activate(V) #113: #U51(tt(),V1,V2) -> #U52(isPalListKind(activate(V1)),activate(V1),activate(V2)) #114: #U51(tt(),V1,V2) -> #isPalListKind(activate(V1)) #115: #U51(tt(),V1,V2) -> #activate(V1) #116: #U51(tt(),V1,V2) -> #activate(V1) #117: #U51(tt(),V1,V2) -> #activate(V2) #118: #U42(tt(),V1,V2) -> #U43(isPalListKind(activate(V2)),activate(V1),activate(V2)) #119: #U42(tt(),V1,V2) -> #isPalListKind(activate(V2)) #120: #U42(tt(),V1,V2) -> #activate(V2) #121: #U42(tt(),V1,V2) -> #activate(V1) #122: #U42(tt(),V1,V2) -> #activate(V2) #123: #U72(tt(),P) -> #U73(isPal(activate(P)),activate(P)) #124: #U72(tt(),P) -> #isPal(activate(P)) #125: #U72(tt(),P) -> #activate(P) #126: #U72(tt(),P) -> #activate(P) #127: #U44(tt(),V1,V2) -> #U45(isList(activate(V1)),activate(V2)) #128: #U44(tt(),V1,V2) -> #isList(activate(V1)) #129: #U44(tt(),V1,V2) -> #activate(V1) #130: #U44(tt(),V1,V2) -> #activate(V2) #131: #U55(tt(),V2) -> #U56(isList(activate(V2))) #132: #U55(tt(),V2) -> #isList(activate(V2)) #133: #U55(tt(),V2) -> #activate(V2) #134: #U82(tt(),V) -> #U83(isNePal(activate(V))) #135: #U82(tt(),V) -> #isNePal(activate(V)) #136: #U82(tt(),V) -> #activate(V) #137: #U41(tt(),V1,V2) -> #U42(isPalListKind(activate(V1)),activate(V1),activate(V2)) #138: #U41(tt(),V1,V2) -> #isPalListKind(activate(V1)) #139: #U41(tt(),V1,V2) -> #activate(V1) #140: #U41(tt(),V1,V2) -> #activate(V1) #141: #U41(tt(),V1,V2) -> #activate(V2) #142: #__(__(X,Y),Z) -> #__(X,__(Y,Z)) #143: #__(__(X,Y),Z) -> #__(Y,Z) #144: #U22(tt(),V1,V2) -> #U23(isPalListKind(activate(V2)),activate(V1),activate(V2)) #145: #U22(tt(),V1,V2) -> #isPalListKind(activate(V2)) #146: #U22(tt(),V1,V2) -> #activate(V2) #147: #U22(tt(),V1,V2) -> #activate(V1) #148: #U22(tt(),V1,V2) -> #activate(V2) #149: #U11(tt(),V) -> #U12(isPalListKind(activate(V)),activate(V)) #150: #U11(tt(),V) -> #isPalListKind(activate(V)) #151: #U11(tt(),V) -> #activate(V) #152: #U11(tt(),V) -> #activate(V) #153: #U43(tt(),V1,V2) -> #U44(isPalListKind(activate(V2)),activate(V1),activate(V2)) #154: #U43(tt(),V1,V2) -> #isPalListKind(activate(V2)) #155: #U43(tt(),V1,V2) -> #activate(V2) #156: #U43(tt(),V1,V2) -> #activate(V1) #157: #U43(tt(),V1,V2) -> #activate(V2) Number of SCCs: 4, DPs: 35, edges: 49 SCC { #142 #143 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a() weight: 0 n__a() weight: 0 #U72(x1,x2) weight: 0 #U32(x1,x2) weight: 0 U21(x1,x2,x3) weight: 0 #U83(x1) weight: 0 #isPalListKind(x1) weight: 0 U11(x1,x2) weight: 0 U24(x1,x2,x3) weight: 0 n__o() weight: 0 #U24(x1,x2,x3) weight: 0 U25(x1,x2) weight: 0 isNeList(x1) weight: 0 U56(x1) weight: 0 isPal(x1) weight: 0 U42(x1,x2,x3) weight: 0 U91(x1,x2) weight: 0 #e() weight: 0 u() weight: 0 activate(x1) weight: 0 U26(x1) weight: 0 #U82(x1,x2) weight: 0 U71(x1,x2,x3) weight: 0 #U81(x1,x2) weight: 0 #U92(x1) weight: 0 #u() weight: 0 #isNeList(x1) weight: 0 U43(x1,x2,x3) weight: 0 #activate(x1) weight: 0 n__i() weight: 0 #U23(x1,x2,x3) weight: 0 #U53(x1,x2,x3) weight: 0 #__(x1,x2) weight: x1 U44(x1,x2,x3) weight: 0 U55(x1,x2) weight: 0 #U43(x1,x2,x3) weight: 0 U23(x1,x2,x3) weight: 0 U63(x1) weight: 0 isNePal(x1) weight: 0 U72(x1,x2) weight: 0 #U13(x1) weight: 0 #isQid(x1) weight: 0 #isPal(x1) weight: 0 n__nil() weight: 0 #U52(x1,x2,x3) weight: 0 U12(x1,x2) weight: 0 #U33(x1) weight: 0 isQid(x1) weight: 0 #U26(x1) weight: 0 U54(x1,x2,x3) weight: 0 n____(x1,x2) weight: (/ 1 2) n__e() weight: 0 o() weight: 0 #U44(x1,x2,x3) weight: 0 #U54(x1,x2,x3) weight: 0 #U42(x1,x2,x3) weight: 0 #U12(x1,x2) weight: 0 #U62(x1,x2) weight: 0 U83(x1) weight: 0 isList(x1) weight: 0 U73(x1,x2) weight: 0 #U74(x1) weight: 0 #isNePal(x1) weight: 0 #U73(x1,x2) weight: 0 nil() weight: 0 #U25(x1,x2) weight: 0 n__u() weight: 0 #o() weight: 0 U62(x1,x2) weight: 0 #U63(x1) weight: 0 U45(x1,x2) weight: 0 #nil() weight: 0 #isList(x1) weight: 0 U32(x1,x2) weight: 0 U33(x1) weight: 0 #U46(x1) weight: 0 #U56(x1) weight: 0 U46(x1) weight: 0 i() weight: 0 U52(x1,x2,x3) weight: 0 U61(x1,x2) weight: 0 #U51(x1,x2,x3) weight: 0 e() weight: 0 #U11(x1,x2) weight: 0 U31(x1,x2) weight: 0 U92(x1) weight: 0 #U41(x1,x2,x3) weight: 0 #a() weight: 0 #U21(x1,x2,x3) weight: 0 U81(x1,x2) weight: 0 U82(x1,x2) weight: 0 #U22(x1,x2,x3) weight: 0 tt() weight: 0 #U71(x1,x2,x3) weight: 0 U13(x1) weight: 0 U22(x1,x2,x3) weight: 0 #U45(x1,x2) weight: 0 U51(x1,x2,x3) weight: 0 U74(x1) weight: 0 isPalListKind(x1) weight: 0 U53(x1,x2,x3) weight: 0 U41(x1,x2,x3) weight: 0 #U31(x1,x2) weight: 0 __(x1,x2) weight: (/ 1 4) + x1 + x2 #U91(x1,x2) weight: 0 #U55(x1,x2) weight: 0 #U61(x1,x2) weight: 0 #i() weight: 0 Usable rules: { } Removed DPs: #142 #143 Number of SCCs: 3, DPs: 33, edges: 45 SCC { #35 #74 #75 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a() weight: 0 n__a() weight: 0 #U72(x1,x2) weight: 0 #U32(x1,x2) weight: 0 U21(x1,x2,x3) weight: 0 #U83(x1) weight: 0 #isPalListKind(x1) weight: x1 U11(x1,x2) weight: 0 U24(x1,x2,x3) weight: 0 n__o() weight: 0 #U24(x1,x2,x3) weight: 0 U25(x1,x2) weight: 0 isNeList(x1) weight: 0 U56(x1) weight: 0 isPal(x1) weight: 0 U42(x1,x2,x3) weight: 0 U91(x1,x2) weight: (/ 5 8) #e() weight: 0 u() weight: 0 activate(x1) weight: (/ 1 8) + x1 U26(x1) weight: 0 #U82(x1,x2) weight: 0 U71(x1,x2,x3) weight: 0 #U81(x1,x2) weight: 0 #U92(x1) weight: 0 #u() weight: 0 #isNeList(x1) weight: 0 U43(x1,x2,x3) weight: 0 #activate(x1) weight: 0 n__i() weight: 0 #U23(x1,x2,x3) weight: 0 #U53(x1,x2,x3) weight: 0 #__(x1,x2) weight: 0 U44(x1,x2,x3) weight: 0 U55(x1,x2) weight: 0 #U43(x1,x2,x3) weight: 0 U23(x1,x2,x3) weight: 0 U63(x1) weight: 0 isNePal(x1) weight: 0 U72(x1,x2) weight: 0 #U13(x1) weight: 0 #isQid(x1) weight: 0 #isPal(x1) weight: 0 n__nil() weight: 0 #U52(x1,x2,x3) weight: 0 U12(x1,x2) weight: 0 #U33(x1) weight: 0 isQid(x1) weight: 0 #U26(x1) weight: 0 U54(x1,x2,x3) weight: 0 n____(x1,x2) weight: (/ 1 2) + x1 + x2 n__e() weight: 0 o() weight: 0 #U44(x1,x2,x3) weight: 0 #U54(x1,x2,x3) weight: 0 #U42(x1,x2,x3) weight: 0 #U12(x1,x2) weight: 0 #U62(x1,x2) weight: 0 U83(x1) weight: 0 isList(x1) weight: 0 U73(x1,x2) weight: 0 #U74(x1) weight: 0 #isNePal(x1) weight: 0 #U73(x1,x2) weight: 0 nil() weight: 0 #U25(x1,x2) weight: 0 n__u() weight: 0 #o() weight: 0 U62(x1,x2) weight: 0 #U63(x1) weight: 0 U45(x1,x2) weight: 0 #nil() weight: 0 #isList(x1) weight: 0 U32(x1,x2) weight: 0 U33(x1) weight: 0 #U46(x1) weight: 0 #U56(x1) weight: 0 U46(x1) weight: 0 i() weight: 0 U52(x1,x2,x3) weight: 0 U61(x1,x2) weight: 0 #U51(x1,x2,x3) weight: 0 e() weight: 0 #U11(x1,x2) weight: 0 U31(x1,x2) weight: 0 U92(x1) weight: (/ 3 4) #U41(x1,x2,x3) weight: 0 #a() weight: 0 #U21(x1,x2,x3) weight: 0 U81(x1,x2) weight: 0 U82(x1,x2) weight: 0 #U22(x1,x2,x3) weight: 0 tt() weight: 0 #U71(x1,x2,x3) weight: 0 U13(x1) weight: 0 U22(x1,x2,x3) weight: 0 #U45(x1,x2) weight: 0 U51(x1,x2,x3) weight: 0 U74(x1) weight: 0 isPalListKind(x1) weight: x1 U53(x1,x2,x3) weight: 0 U41(x1,x2,x3) weight: 0 #U31(x1,x2) weight: 0 __(x1,x2) weight: (/ 1 2) + x1 + x2 #U91(x1,x2) weight: (/ 1 4) + x2 #U55(x1,x2) weight: 0 #U61(x1,x2) weight: 0 #i() weight: 0 Usable rules: { 1..3 62..76 } Removed DPs: #35 #74 #75 Number of SCCs: 2, DPs: 30, edges: 40 SCC { #8 #22 #28 #70 #124 #135 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a() weight: 0 n__a() weight: 0 #U72(x1,x2) weight: (/ 1 2) + x2 #U32(x1,x2) weight: 0 U21(x1,x2,x3) weight: 0 #U83(x1) weight: 0 #isPalListKind(x1) weight: 0 U11(x1,x2) weight: 0 U24(x1,x2,x3) weight: 0 n__o() weight: 0 #U24(x1,x2,x3) weight: 0 U25(x1,x2) weight: 0 isNeList(x1) weight: 0 U56(x1) weight: 0 isPal(x1) weight: 0 U42(x1,x2,x3) weight: 0 U91(x1,x2) weight: (/ 1 8) #e() weight: 0 u() weight: 0 activate(x1) weight: (/ 1 16) + x1 U26(x1) weight: 0 #U82(x1,x2) weight: (/ 1 8) + x2 U71(x1,x2,x3) weight: 0 #U81(x1,x2) weight: (/ 1 4) + x2 #U92(x1) weight: 0 #u() weight: 0 #isNeList(x1) weight: 0 U43(x1,x2,x3) weight: 0 #activate(x1) weight: 0 n__i() weight: 0 #U23(x1,x2,x3) weight: 0 #U53(x1,x2,x3) weight: 0 #__(x1,x2) weight: 0 U44(x1,x2,x3) weight: 0 U55(x1,x2) weight: 0 #U43(x1,x2,x3) weight: 0 U23(x1,x2,x3) weight: 0 U63(x1) weight: 0 isNePal(x1) weight: 0 U72(x1,x2) weight: 0 #U13(x1) weight: 0 #isQid(x1) weight: 0 #isPal(x1) weight: (/ 3 8) + x1 n__nil() weight: 0 #U52(x1,x2,x3) weight: 0 U12(x1,x2) weight: 0 #U33(x1) weight: 0 isQid(x1) weight: (/ 1 16) #U26(x1) weight: 0 U54(x1,x2,x3) weight: 0 n____(x1,x2) weight: (/ 3 8) + x1 + x2 n__e() weight: 0 o() weight: 0 #U44(x1,x2,x3) weight: 0 #U54(x1,x2,x3) weight: 0 #U42(x1,x2,x3) weight: 0 #U12(x1,x2) weight: 0 #U62(x1,x2) weight: 0 U83(x1) weight: 0 isList(x1) weight: 0 U73(x1,x2) weight: 0 #U74(x1) weight: 0 #isNePal(x1) weight: x1 #U73(x1,x2) weight: 0 nil() weight: 0 #U25(x1,x2) weight: 0 n__u() weight: 0 #o() weight: 0 U62(x1,x2) weight: 0 #U63(x1) weight: 0 U45(x1,x2) weight: 0 #nil() weight: 0 #isList(x1) weight: 0 U32(x1,x2) weight: 0 U33(x1) weight: 0 #U46(x1) weight: 0 #U56(x1) weight: 0 U46(x1) weight: 0 i() weight: 0 U52(x1,x2,x3) weight: 0 U61(x1,x2) weight: 0 #U51(x1,x2,x3) weight: 0 e() weight: 0 #U11(x1,x2) weight: 0 U31(x1,x2) weight: 0 U92(x1) weight: (/ 3 16) #U41(x1,x2,x3) weight: 0 #a() weight: 0 #U21(x1,x2,x3) weight: 0 U81(x1,x2) weight: 0 U82(x1,x2) weight: 0 #U22(x1,x2,x3) weight: 0 tt() weight: 0 #U71(x1,x2,x3) weight: (/ 5 8) + x3 U13(x1) weight: 0 U22(x1,x2,x3) weight: 0 #U45(x1,x2) weight: 0 U51(x1,x2,x3) weight: 0 U74(x1) weight: 0 isPalListKind(x1) weight: (/ 1 16) U53(x1,x2,x3) weight: 0 U41(x1,x2,x3) weight: 0 #U31(x1,x2) weight: 0 __(x1,x2) weight: (/ 3 8) + x1 + x2 #U91(x1,x2) weight: (/ 1 8) #U55(x1,x2) weight: 0 #U61(x1,x2) weight: 0 #i() weight: 0 Usable rules: { 1..3 62..76 } Removed DPs: #8 #22 #28 #70 #124 #135 Number of SCCs: 1, DPs: 24, edges: 34 SCC { #16 #37 #45 #51 #53 #59 #64 #81 #82 #86 #88 #93 #94 #102 #104 #113 #118 #127 #128 #132 #137 #144 #149 #153 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a() weight: 0 n__a() weight: 0 #U72(x1,x2) weight: (/ 1 4) + x2 #U32(x1,x2) weight: 0 U21(x1,x2,x3) weight: (/ 1 16) #U83(x1) weight: 0 #isPalListKind(x1) weight: 0 U11(x1,x2) weight: x1 + x2 U24(x1,x2,x3) weight: (/ 1 32) + x2 n__o() weight: 0 #U24(x1,x2,x3) weight: (/ 5 16) + x2 + x3 U25(x1,x2) weight: (/ 1 16) isNeList(x1) weight: (/ 1 32) U56(x1) weight: (/ 1 32) isPal(x1) weight: 0 U42(x1,x2,x3) weight: x2 + x3 U91(x1,x2) weight: (/ 1 16) #e() weight: 0 u() weight: 0 activate(x1) weight: (/ 1 32) + x1 U26(x1) weight: (/ 1 16) + x1 #U82(x1,x2) weight: (/ 1 16) + x2 U71(x1,x2,x3) weight: 0 #U81(x1,x2) weight: (/ 1 8) + x2 #U92(x1) weight: 0 #u() weight: 0 #isNeList(x1) weight: x1 U43(x1,x2,x3) weight: x1 + x3 #activate(x1) weight: 0 n__i() weight: 0 #U23(x1,x2,x3) weight: (/ 13 32) + x2 + x3 #U53(x1,x2,x3) weight: (/ 13 32) + x2 + x3 #__(x1,x2) weight: 0 U44(x1,x2,x3) weight: x1 U55(x1,x2) weight: x1 #U43(x1,x2,x3) weight: (/ 11 32) + x2 + x3 U23(x1,x2,x3) weight: (/ 1 32) + x1 U63(x1) weight: 0 isNePal(x1) weight: 0 U72(x1,x2) weight: 0 #U13(x1) weight: 0 #isQid(x1) weight: 0 #isPal(x1) weight: (/ 3 16) + x1 n__nil() weight: 0 #U52(x1,x2,x3) weight: (/ 1 2) + x2 + x3 U12(x1,x2) weight: (/ 1 32) #U33(x1) weight: 0 isQid(x1) weight: (/ 1 32) #U26(x1) weight: 0 U54(x1,x2,x3) weight: x1 + x3 n____(x1,x2) weight: (/ 11 16) + x1 + x2 n__e() weight: 0 o() weight: 0 #U44(x1,x2,x3) weight: (/ 1 4) + x2 + x3 #U54(x1,x2,x3) weight: (/ 5 16) + x2 + x3 #U42(x1,x2,x3) weight: (/ 7 16) + x2 + x3 #U12(x1,x2) weight: (/ 1 16) + x2 #U62(x1,x2) weight: 0 U83(x1) weight: 0 isList(x1) weight: (/ 1 32) U73(x1,x2) weight: 0 #U74(x1) weight: 0 #isNePal(x1) weight: x1 #U73(x1,x2) weight: 0 nil() weight: 0 #U25(x1,x2) weight: (/ 1 4) + x2 n__u() weight: 0 #o() weight: 0 U62(x1,x2) weight: 0 #U63(x1) weight: 0 U45(x1,x2) weight: (/ 1 32) #nil() weight: 0 #isList(x1) weight: (/ 3 16) + x1 U32(x1,x2) weight: x1 + x2 U33(x1) weight: (/ 1 32) #U46(x1) weight: 0 #U56(x1) weight: 0 U46(x1) weight: (/ 1 16) i() weight: 0 U52(x1,x2,x3) weight: x2 U61(x1,x2) weight: 0 #U51(x1,x2,x3) weight: (/ 19 32) + x2 + x3 e() weight: 0 #U11(x1,x2) weight: (/ 1 8) + x2 U31(x1,x2) weight: (/ 1 32) + x1 U92(x1) weight: (/ 3 32) #U41(x1,x2,x3) weight: (/ 17 32) + x2 + x3 #a() weight: 0 #U21(x1,x2,x3) weight: (/ 19 32) + x2 + x3 U81(x1,x2) weight: 0 U82(x1,x2) weight: 0 #U22(x1,x2,x3) weight: (/ 1 2) + x2 + x3 tt() weight: 0 #U71(x1,x2,x3) weight: (/ 5 16) + x3 U13(x1) weight: (/ 1 16) U22(x1,x2,x3) weight: (/ 1 32) + x1 + x2 #U45(x1,x2) weight: (/ 1 16) + x2 U51(x1,x2,x3) weight: x1 + x2 + x3 U74(x1) weight: 0 isPalListKind(x1) weight: (/ 1 32) U53(x1,x2,x3) weight: (/ 1 32) U41(x1,x2,x3) weight: (/ 1 32) + x1 #U31(x1,x2) weight: 0 __(x1,x2) weight: (/ 11 16) + x1 + x2 #U91(x1,x2) weight: (/ 1 16) #U55(x1,x2) weight: (/ 1 4) + x2 #U61(x1,x2) weight: 0 #i() weight: 0 Usable rules: { 1..3 57..76 } Removed DPs: #16 #37 #45 #51 #53 #59 #64 #81 #82 #86 #88 #93 #94 #102 #104 #113 #118 #127 #128 #132 #137 #144 #149 #153 Number of SCCs: 0, DPs: 0, edges: 0 YES