Input TRS: 1: active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z))) 2: active(__(X,nil())) -> mark(X) 3: active(__(nil(),X)) -> mark(X) 4: active(U11(tt())) -> mark(tt()) 5: active(U21(tt(),V2)) -> mark(U22(isList(V2))) 6: active(U22(tt())) -> mark(tt()) 7: active(U31(tt())) -> mark(tt()) 8: active(U41(tt(),V2)) -> mark(U42(isNeList(V2))) 9: active(U42(tt())) -> mark(tt()) 10: active(U51(tt(),V2)) -> mark(U52(isList(V2))) 11: active(U52(tt())) -> mark(tt()) 12: active(U61(tt())) -> mark(tt()) 13: active(U71(tt(),P)) -> mark(U72(isPal(P))) 14: active(U72(tt())) -> mark(tt()) 15: active(U81(tt())) -> mark(tt()) 16: active(isList(V)) -> mark(U11(isNeList(V))) 17: active(isList(nil())) -> mark(tt()) 18: active(isList(__(V1,V2))) -> mark(U21(isList(V1),V2)) 19: active(isNeList(V)) -> mark(U31(isQid(V))) 20: active(isNeList(__(V1,V2))) -> mark(U41(isList(V1),V2)) 21: active(isNeList(__(V1,V2))) -> mark(U51(isNeList(V1),V2)) 22: active(isNePal(V)) -> mark(U61(isQid(V))) 23: active(isNePal(__(I,__(P,I)))) -> mark(U71(isQid(I),P)) 24: active(isPal(V)) -> mark(U81(isNePal(V))) 25: active(isPal(nil())) -> mark(tt()) 26: active(isQid(a())) -> mark(tt()) 27: active(isQid(e())) -> mark(tt()) 28: active(isQid(i())) -> mark(tt()) 29: active(isQid(o())) -> mark(tt()) 30: active(isQid(u())) -> mark(tt()) 31: active(__(X1,X2)) -> __(active(X1),X2) 32: active(__(X1,X2)) -> __(X1,active(X2)) 33: active(U11(X)) -> U11(active(X)) 34: active(U21(X1,X2)) -> U21(active(X1),X2) 35: active(U22(X)) -> U22(active(X)) 36: active(U31(X)) -> U31(active(X)) 37: active(U41(X1,X2)) -> U41(active(X1),X2) 38: active(U42(X)) -> U42(active(X)) 39: active(U51(X1,X2)) -> U51(active(X1),X2) 40: active(U52(X)) -> U52(active(X)) 41: active(U61(X)) -> U61(active(X)) 42: active(U71(X1,X2)) -> U71(active(X1),X2) 43: active(U72(X)) -> U72(active(X)) 44: active(U81(X)) -> U81(active(X)) 45: __(mark(X1),X2) -> mark(__(X1,X2)) 46: __(X1,mark(X2)) -> mark(__(X1,X2)) 47: U11(mark(X)) -> mark(U11(X)) 48: U21(mark(X1),X2) -> mark(U21(X1,X2)) 49: U22(mark(X)) -> mark(U22(X)) 50: U31(mark(X)) -> mark(U31(X)) 51: U41(mark(X1),X2) -> mark(U41(X1,X2)) 52: U42(mark(X)) -> mark(U42(X)) 53: U51(mark(X1),X2) -> mark(U51(X1,X2)) 54: U52(mark(X)) -> mark(U52(X)) 55: U61(mark(X)) -> mark(U61(X)) 56: U71(mark(X1),X2) -> mark(U71(X1,X2)) 57: U72(mark(X)) -> mark(U72(X)) 58: U81(mark(X)) -> mark(U81(X)) 59: proper(__(X1,X2)) -> __(proper(X1),proper(X2)) 60: proper(nil()) -> ok(nil()) 61: proper(U11(X)) -> U11(proper(X)) 62: proper(tt()) -> ok(tt()) 63: proper(U21(X1,X2)) -> U21(proper(X1),proper(X2)) 64: proper(U22(X)) -> U22(proper(X)) 65: proper(isList(X)) -> isList(proper(X)) 66: proper(U31(X)) -> U31(proper(X)) 67: proper(U41(X1,X2)) -> U41(proper(X1),proper(X2)) 68: proper(U42(X)) -> U42(proper(X)) 69: proper(isNeList(X)) -> isNeList(proper(X)) 70: proper(U51(X1,X2)) -> U51(proper(X1),proper(X2)) 71: proper(U52(X)) -> U52(proper(X)) 72: proper(U61(X)) -> U61(proper(X)) 73: proper(U71(X1,X2)) -> U71(proper(X1),proper(X2)) 74: proper(U72(X)) -> U72(proper(X)) 75: proper(isPal(X)) -> isPal(proper(X)) 76: proper(U81(X)) -> U81(proper(X)) 77: proper(isQid(X)) -> isQid(proper(X)) 78: proper(isNePal(X)) -> isNePal(proper(X)) 79: proper(a()) -> ok(a()) 80: proper(e()) -> ok(e()) 81: proper(i()) -> ok(i()) 82: proper(o()) -> ok(o()) 83: proper(u()) -> ok(u()) 84: __(ok(X1),ok(X2)) -> ok(__(X1,X2)) 85: U11(ok(X)) -> ok(U11(X)) 86: U21(ok(X1),ok(X2)) -> ok(U21(X1,X2)) 87: U22(ok(X)) -> ok(U22(X)) 88: isList(ok(X)) -> ok(isList(X)) 89: U31(ok(X)) -> ok(U31(X)) 90: U41(ok(X1),ok(X2)) -> ok(U41(X1,X2)) 91: U42(ok(X)) -> ok(U42(X)) 92: isNeList(ok(X)) -> ok(isNeList(X)) 93: U51(ok(X1),ok(X2)) -> ok(U51(X1,X2)) 94: U52(ok(X)) -> ok(U52(X)) 95: U61(ok(X)) -> ok(U61(X)) 96: U71(ok(X1),ok(X2)) -> ok(U71(X1,X2)) 97: U72(ok(X)) -> ok(U72(X)) 98: isPal(ok(X)) -> ok(isPal(X)) 99: U81(ok(X)) -> ok(U81(X)) 100: isQid(ok(X)) -> ok(isQid(X)) 101: isNePal(ok(X)) -> ok(isNePal(X)) 102: top(mark(X)) -> top(proper(X)) 103: top(ok(X)) -> top(active(X)) Number of strict rules: 103 Direct Order(PosReal,>,Poly) ... removes: 18 4 15 8 3 16 21 26 19 17 27 22 28 5 10 20 25 30 12 23 24 9 13 6 29 2 a() weight: 0 U21(x1,x2) weight: (/ 151223 4) + x1 + x2 U11(x1) weight: (/ 281401 8) + x1 isNeList(x1) weight: (/ 1 4) + x1 isPal(x1) weight: (/ 15285 8) + 2 * x1 U42(x1) weight: (/ 312553 8) + x1 u() weight: 0 U71(x1,x2) weight: (/ 7643 4) + 2 * x1 + 2 * x2 top(x1) weight: x1 isNePal(x1) weight: (/ 3 8) + 2 * x1 U72(x1) weight: x1 isQid(x1) weight: (/ 1 8) + x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 70351 2) + x1 nil() weight: 0 mark(x1) weight: x1 i() weight: 0 U52(x1) weight: x1 U61(x1) weight: (/ 1 8) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: x1 U81(x1) weight: (/ 15281 8) + x1 tt() weight: 0 U22(x1) weight: (/ 21041 8) + x1 U51(x1,x2) weight: (/ 281405 8) + x1 + x2 U41(x1,x2) weight: (/ 78139 2) + x1 + x2 __(x1,x2) weight: (/ 593959 8) + x1 + x2 Number of strict rules: 77 Direct Order(PosReal,>,Poly) ... removes: 1 a() weight: 0 U21(x1,x2) weight: (/ 3 16) + x1 + x2 U11(x1) weight: (/ 1 16) + x1 isNeList(x1) weight: (/ 1 16) + x1 isPal(x1) weight: (/ 120345 4) + 2 * x1 U42(x1) weight: (/ 1 16) + x1 u() weight: 0 U71(x1,x2) weight: (/ 481381 16) + x1 + 2 * x2 top(x1) weight: x1 isNePal(x1) weight: (/ 240689 8) + 2 * x1 U72(x1) weight: x1 isQid(x1) weight: (/ 1 16) + x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 1 8) + x1 nil() weight: 0 mark(x1) weight: x1 i() weight: 0 U52(x1) weight: x1 U61(x1) weight: (/ 1 16) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: x1 U81(x1) weight: (/ 1 16) + x1 tt() weight: 0 U22(x1) weight: (/ 1 16) + x1 U51(x1,x2) weight: (/ 3 16) + x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + 2 * x2 __(x1,x2) weight: (/ 3 16) + 2 * x1 + x2 Number of strict rules: 76 Direct Order(PosReal,>,Poly) ... removes: 14 a() weight: 0 U21(x1,x2) weight: (/ 87537 4) + x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: (/ 1 8) + x1 isPal(x1) weight: (/ 1 4) + x1 U42(x1) weight: (/ 56281 8) + x1 u() weight: 0 U71(x1,x2) weight: (/ 262035 8) + x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 1 8) + x1 U72(x1) weight: (/ 262033 8) + x1 isQid(x1) weight: (/ 1 8) + x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 1 8) + x1 nil() weight: 0 mark(x1) weight: x1 i() weight: 0 U52(x1) weight: x1 U61(x1) weight: (/ 1 8) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: x1 U81(x1) weight: (/ 1 8) + x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: (/ 1 8) + x1 + x2 U41(x1,x2) weight: (/ 40549 4) + x1 + x2 __(x1,x2) weight: (/ 87537 4) + 2 * x1 + x2 Number of strict rules: 75 Direct Order(PosReal,>,Poly) ... removes: 102 45 53 a() weight: 0 U21(x1,x2) weight: (/ 7525 4) + x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: (/ 16141 4) + x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 119589 4) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + x1 U61(x1) weight: (/ 1 4) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 4) + x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: 2 * x1 + x2 U41(x1,x2) weight: (/ 2657 4) + x1 + x2 __(x1,x2) weight: (/ 7525 4) + 2 * x1 + x2 Number of strict rules: 72 Direct Order(PosReal,>,Poly) ... removes: 7 a() weight: 0 U21(x1,x2) weight: (/ 1 4) + x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: (/ 59729 4) + x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 70597 4) + x1 nil() weight: 0 mark(x1) weight: (/ 43589 4) + x1 i() weight: 0 U52(x1) weight: (/ 43589 4) + x1 U61(x1) weight: (/ 97265 4) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 21795 2) + x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 2657 4) + x1 + x2 __(x1,x2) weight: (/ 43589 4) + 2 * x1 + x2 Number of strict rules: 71 Direct Order(PosReal,>,Poly) ... removes: 11 a() weight: 0 U21(x1,x2) weight: (/ 1 16) + x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: (/ 64561 16) + x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 499537 16) + x1 nil() weight: 0 mark(x1) weight: (/ 1 16) + x1 i() weight: 0 U52(x1) weight: (/ 1 8) + x1 U61(x1) weight: (/ 214705 16) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 16) + x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 10625 16) + x1 + x2 __(x1,x2) weight: (/ 1 16) + 2 * x1 + x2 Number of strict rules: 70 Direct Order(PosReal,>,Poly) ... removes: 51 a() weight: 0 U21(x1,x2) weight: (/ 1 32) + x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: (/ 1 32) + x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 499537 16) + x1 nil() weight: 0 mark(x1) weight: (/ 1 16) + x1 i() weight: 0 U52(x1) weight: (/ 1 16) + x1 U61(x1) weight: (/ 214705 16) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 456273 16) + x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 16) + 2 * x1 + x2 __(x1,x2) weight: (/ 1 16) + 2 * x1 + x2 Number of strict rules: 69 Direct Order(PosReal,>,Poly) ... removes: 52 a() weight: 0 U21(x1,x2) weight: (/ 1 32) + x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: (/ 1 32) + 2 * x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 469505 16) + x1 nil() weight: 0 mark(x1) weight: (/ 1 16) + x1 i() weight: 0 U52(x1) weight: (/ 1 16) + x1 U61(x1) weight: (/ 1 16) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 456273 16) + x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 32) + 2 * x1 + x2 __(x1,x2) weight: (/ 1 16) + 2 * x1 + x2 Number of strict rules: 68 Direct Order(PosReal,>,Poly) ... removes: 50 a() weight: 0 U21(x1,x2) weight: (/ 1 32) + x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: (/ 1 32) + 2 * x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 469505 16) + x1 nil() weight: 0 mark(x1) weight: (/ 1 16) + x1 i() weight: 0 U52(x1) weight: (/ 1 16) + x1 U61(x1) weight: (/ 75361 16) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 68801 16) + 2 * x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 32) + 2 * x1 + x2 __(x1,x2) weight: (/ 1 16) + 2 * x1 + x2 Number of strict rules: 67 Direct Order(PosReal,>,Poly) ... removes: 46 a() weight: 0 U21(x1,x2) weight: (/ 1 8) + x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: (/ 1 8) + x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 27857 8) + x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 234755 8) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + x1 U61(x1) weight: (/ 18841 4) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + 2 * x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 8) + 2 * x1 + x2 __(x1,x2) weight: (/ 1 8) + 2 * x1 + 2 * x2 Number of strict rules: 66 Direct Order(PosReal,>,Poly) ... removes: 49 a() weight: 0 U21(x1,x2) weight: (/ 1 8) + x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: (/ 1 8) + x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 27857 8) + x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 234755 8) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + x1 U61(x1) weight: (/ 18841 4) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + 2 * x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: (/ 1 8) + 2 * x1 + x2 Number of strict rules: 65 Direct Order(PosReal,>,Poly) ... removes: 54 a() weight: 0 U21(x1,x2) weight: (/ 1 8) + x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: (/ 1 8) + x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 27857 8) + x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 234755 8) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + 2 * x1 U61(x1) weight: (/ 18841 4) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: (/ 1 8) + 2 * x1 + x2 Number of strict rules: 64 Direct Order(PosReal,>,Poly) ... removes: 48 a() weight: 0 U21(x1,x2) weight: (/ 91305 8) + 2 * x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 27857 8) + x1 U72(x1) weight: x1 isQid(x1) weight: (/ 1 8) + x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 234755 8) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + x1 U61(x1) weight: (/ 18841 4) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: (/ 1 8) + x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: (/ 1 8) + 2 * x1 + x2 Number of strict rules: 63 Direct Order(PosReal,>,Poly) ... removes: 55 a() weight: 0 U21(x1,x2) weight: (/ 176793 8) + 2 * x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 1 8) + x1 U72(x1) weight: (/ 1 8) + x1 isQid(x1) weight: (/ 1 8) + x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 234755 8) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + x1 U61(x1) weight: (/ 18841 4) + 2 * x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: (/ 1 8) + x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: (/ 1 8) + 2 * x1 + x2 Number of strict rules: 62 Direct Order(PosReal,>,Poly) ... removes: 58 a() weight: 0 U21(x1,x2) weight: (/ 176793 8) + 2 * x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 1 8) + x1 U72(x1) weight: (/ 1 8) + x1 isQid(x1) weight: (/ 1 8) + x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 234755 8) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + x1 U61(x1) weight: (/ 18841 4) + 2 * x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: (/ 1 8) + 2 * x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: (/ 1 8) + 2 * x1 + x2 Number of strict rules: 61 Direct Order(PosReal,>,Poly) ... removes: 57 a() weight: 0 U21(x1,x2) weight: (/ 176793 8) + 2 * x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: x1 u() weight: 0 U71(x1,x2) weight: x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 662947 8) + x1 U72(x1) weight: 2 * x1 isQid(x1) weight: (/ 331473 8) + x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 566227 8) + x1 nil() weight: 0 mark(x1) weight: (/ 165737 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 8) + x1 U61(x1) weight: (/ 184577 4) + 2 * x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: (/ 39673 8) + 2 * x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: x1 + x2 Number of strict rules: 60 Direct Order(PosReal,>,Poly) ... removes: 56 a() weight: 0 U21(x1,x2) weight: (/ 1 8) + 2 * x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: (/ 1 8) + x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: (/ 1 8) + x1 u() weight: 0 U71(x1,x2) weight: (/ 1 8) + 2 * x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 5 8) + x1 U72(x1) weight: 2 * x1 isQid(x1) weight: (/ 1 8) + x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: (/ 58689 2) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: (/ 1 8) + x1 U61(x1) weight: (/ 18841 4) + 2 * x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: (/ 1 8) + 2 * x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: (/ 1 8) + x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: x1 + x2 Number of strict rules: 59 Direct Order(PosReal,>,Poly) ... removes: 47 a() weight: 0 U21(x1,x2) weight: (/ 1 16) + x1 + x2 U11(x1) weight: 2 * x1 isNeList(x1) weight: x1 isPal(x1) weight: (/ 1 16) + x1 U42(x1) weight: (/ 1 16) + x1 u() weight: 0 U71(x1,x2) weight: (/ 1 16) + x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: x1 ok(x1) weight: x1 isList(x1) weight: x1 nil() weight: 0 mark(x1) weight: (/ 1 16) + x1 i() weight: 0 U52(x1) weight: (/ 1 16) + x1 U61(x1) weight: (/ 75361 16) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 16) + x1 U81(x1) weight: (/ 1 16) + x1 tt() weight: 0 U22(x1) weight: (/ 1 16) + x1 U51(x1,x2) weight: (/ 1 16) + x1 + x2 U41(x1,x2) weight: (/ 1 16) + x1 + x2 __(x1,x2) weight: (/ 1 16) + x1 + x2 Number of strict rules: 58 Direct Order(PosReal,>,Poly) ... removes: 77 70 67 73 a() weight: 0 U21(x1,x2) weight: x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: x1 u() weight: 0 U71(x1,x2) weight: (/ 1 8) + x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: (/ 1 8) + x1 o() weight: 0 proper(x1) weight: 2 * x1 ok(x1) weight: x1 isList(x1) weight: x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + x1 i() weight: 0 U52(x1) weight: x1 U61(x1) weight: x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: (/ 1 8) + x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: x1 + x2 Number of strict rules: 54 Direct Order(PosReal,>,Poly) ... removes: 63 71 a() weight: 0 U21(x1,x2) weight: (/ 1 4) + x1 + x2 U11(x1) weight: x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: x1 u() weight: 0 U71(x1,x2) weight: (/ 1 4) + x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: 2 * x1 ok(x1) weight: x1 isList(x1) weight: x1 nil() weight: 0 mark(x1) weight: (/ 1 2) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + x1 U61(x1) weight: x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: (/ 1 4) + x1 + x2 U41(x1,x2) weight: x1 + x2 __(x1,x2) weight: x1 + x2 Number of strict rules: 52 Direct Order(PosReal,>,Poly) ... removes: 61 a() weight: 0 U21(x1,x2) weight: (/ 1 4) + x1 + x2 U11(x1) weight: (/ 1 4) + x1 isNeList(x1) weight: x1 isPal(x1) weight: x1 U42(x1) weight: x1 u() weight: 0 U71(x1,x2) weight: (/ 1 4) + x1 + x2 top(x1) weight: x1 isNePal(x1) weight: x1 U72(x1) weight: x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: 2 * x1 ok(x1) weight: x1 isList(x1) weight: x1 nil() weight: 0 mark(x1) weight: (/ 1 2) + x1 i() weight: 0 U52(x1) weight: (/ 1 4) + x1 U61(x1) weight: x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: x1 U81(x1) weight: x1 tt() weight: 0 U22(x1) weight: x1 U51(x1,x2) weight: (/ 1 4) + x1 + x2 U41(x1,x2) weight: x1 + x2 __(x1,x2) weight: x1 + x2 Number of strict rules: 51 Direct Order(PosReal,>,Poly) ... removes: 68 65 64 69 78 76 59 74 75 66 a() weight: 0 U21(x1,x2) weight: (/ 1 8) + x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: (/ 1 8) + x1 isPal(x1) weight: (/ 11401 8) + x1 U42(x1) weight: (/ 318849 8) + x1 u() weight: 0 U71(x1,x2) weight: (/ 1 8) + x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 1 8) + x1 U72(x1) weight: (/ 25857 8) + x1 isQid(x1) weight: x1 o() weight: 0 proper(x1) weight: 2 * x1 ok(x1) weight: x1 isList(x1) weight: (/ 82521 8) + x1 nil() weight: 0 mark(x1) weight: (/ 159425 4) + 2 * x1 i() weight: 0 U52(x1) weight: (/ 1 8) + x1 U61(x1) weight: x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: (/ 42753 8) + x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: x1 + x2 U41(x1,x2) weight: (/ 4089 8) + x1 + x2 __(x1,x2) weight: (/ 1 8) + x1 + x2 Number of strict rules: 41 Direct Order(PosReal,>,Poly) ... removes: 72 a() weight: 0 U21(x1,x2) weight: (/ 1 8) + x1 + x2 U11(x1) weight: (/ 1 8) + x1 isNeList(x1) weight: (/ 1 8) + x1 isPal(x1) weight: (/ 1 8) + x1 U42(x1) weight: (/ 1 8) + x1 u() weight: 0 U71(x1,x2) weight: (/ 1 8) + x1 + x2 top(x1) weight: x1 isNePal(x1) weight: (/ 1 8) + x1 U72(x1) weight: (/ 1 8) + x1 isQid(x1) weight: (/ 1 8) + x1 o() weight: 0 proper(x1) weight: 2 * x1 ok(x1) weight: x1 isList(x1) weight: (/ 1 8) + x1 nil() weight: 0 mark(x1) weight: (/ 1 4) + 2 * x1 i() weight: 0 U52(x1) weight: (/ 1 8) + x1 U61(x1) weight: (/ 1 8) + x1 e() weight: 0 active(x1) weight: x1 U31(x1) weight: (/ 1 8) + x1 U81(x1) weight: (/ 1 8) + x1 tt() weight: 0 U22(x1) weight: (/ 1 8) + x1 U51(x1,x2) weight: (/ 1 8) + x1 + x2 U41(x1,x2) weight: (/ 1 8) + x1 + x2 __(x1,x2) weight: (/ 1 8) + x1 + x2 Number of strict rules: 40 Direct Order(PosReal,>,Poly) ... removes: 80 103 36 85 100 32 60 87 84 34 44 33 93 92 39 88 62 82 89 79 31 101 96 81 94 98 90 40 38 91 97 99 37 41 95 42 83 35 43 86 a() weight: 0 U21(x1,x2) weight: (/ 80357 2) + 2 * x1 + 2 * x2 U11(x1) weight: (/ 120535 4) + 2 * x1 isNeList(x1) weight: 20089 + 2 * x1 isPal(x1) weight: (/ 120535 4) + 2 * x1 U42(x1) weight: (/ 120535 4) + 2 * x1 u() weight: 0 U71(x1,x2) weight: (/ 80357 2) + x1 + 2 * x2 top(x1) weight: x1 isNePal(x1) weight: 20089 + 2 * x1 U72(x1) weight: (/ 120535 4) + 2 * x1 isQid(x1) weight: (/ 40179 4) + 2 * x1 o() weight: 0 proper(x1) weight: 30134 + 2 * x1 ok(x1) weight: (/ 241071 8) + 2 * x1 isList(x1) weight: (/ 120535 4) + 2 * x1 nil() weight: 0 mark(x1) weight: x1 i() weight: 0 U52(x1) weight: (/ 120535 4) + 2 * x1 U61(x1) weight: (/ 120531 4) + 2 * x1 e() weight: 0 active(x1) weight: (/ 80353 8) + 2 * x1 U31(x1) weight: (/ 120535 4) + 2 * x1 U81(x1) weight: (/ 120535 4) + 2 * x1 tt() weight: 0 U22(x1) weight: (/ 120535 4) + 2 * x1 U51(x1,x2) weight: (/ 120535 4) + x1 + x2 U41(x1,x2) weight: (/ 120535 4) + 2 * x1 + 2 * x2 __(x1,x2) weight: (/ 1 8) + x1 + x2 Number of strict rules: 0 YES