Input TRS: 1: active(U11(tt(),V1,V2)) -> mark(U12(isNatKind(V1),V1,V2)) 2: active(U12(tt(),V1,V2)) -> mark(U13(isNatKind(V2),V1,V2)) 3: active(U13(tt(),V1,V2)) -> mark(U14(isNatKind(V2),V1,V2)) 4: active(U14(tt(),V1,V2)) -> mark(U15(isNat(V1),V2)) 5: active(U15(tt(),V2)) -> mark(U16(isNat(V2))) 6: active(U16(tt())) -> mark(tt()) 7: active(U21(tt(),V1)) -> mark(U22(isNatKind(V1),V1)) 8: active(U22(tt(),V1)) -> mark(U23(isNat(V1))) 9: active(U23(tt())) -> mark(tt()) 10: active(U31(tt(),V2)) -> mark(U32(isNatKind(V2))) 11: active(U32(tt())) -> mark(tt()) 12: active(U41(tt())) -> mark(tt()) 13: active(U51(tt(),N)) -> mark(U52(isNatKind(N),N)) 14: active(U52(tt(),N)) -> mark(N) 15: active(U61(tt(),M,N)) -> mark(U62(isNatKind(M),M,N)) 16: active(U62(tt(),M,N)) -> mark(U63(isNat(N),M,N)) 17: active(U63(tt(),M,N)) -> mark(U64(isNatKind(N),M,N)) 18: active(U64(tt(),M,N)) -> mark(s(plus(N,M))) 19: active(isNat(0())) -> mark(tt()) 20: active(isNat(plus(V1,V2))) -> mark(U11(isNatKind(V1),V1,V2)) 21: active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1)) 22: active(isNatKind(0())) -> mark(tt()) 23: active(isNatKind(plus(V1,V2))) -> mark(U31(isNatKind(V1),V2)) 24: active(isNatKind(s(V1))) -> mark(U41(isNatKind(V1))) 25: active(plus(N,0())) -> mark(U51(isNat(N),N)) 26: active(plus(N,s(M))) -> mark(U61(isNat(M),M,N)) 27: mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) 28: mark(tt()) -> active(tt()) 29: mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) 30: mark(isNatKind(X)) -> active(isNatKind(X)) 31: mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3)) 32: mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3)) 33: mark(U15(X1,X2)) -> active(U15(mark(X1),X2)) 34: mark(isNat(X)) -> active(isNat(X)) 35: mark(U16(X)) -> active(U16(mark(X))) 36: mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) 37: mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) 38: mark(U23(X)) -> active(U23(mark(X))) 39: mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) 40: mark(U32(X)) -> active(U32(mark(X))) 41: mark(U41(X)) -> active(U41(mark(X))) 42: mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) 43: mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) 44: mark(U61(X1,X2,X3)) -> active(U61(mark(X1),X2,X3)) 45: mark(U62(X1,X2,X3)) -> active(U62(mark(X1),X2,X3)) 46: mark(U63(X1,X2,X3)) -> active(U63(mark(X1),X2,X3)) 47: mark(U64(X1,X2,X3)) -> active(U64(mark(X1),X2,X3)) 48: mark(s(X)) -> active(s(mark(X))) 49: mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) 50: mark(0()) -> active(0()) 51: U11(mark(X1),X2,X3) -> U11(X1,X2,X3) 52: U11(X1,mark(X2),X3) -> U11(X1,X2,X3) 53: U11(X1,X2,mark(X3)) -> U11(X1,X2,X3) 54: U11(active(X1),X2,X3) -> U11(X1,X2,X3) 55: U11(X1,active(X2),X3) -> U11(X1,X2,X3) 56: U11(X1,X2,active(X3)) -> U11(X1,X2,X3) 57: U12(mark(X1),X2,X3) -> U12(X1,X2,X3) 58: U12(X1,mark(X2),X3) -> U12(X1,X2,X3) 59: U12(X1,X2,mark(X3)) -> U12(X1,X2,X3) 60: U12(active(X1),X2,X3) -> U12(X1,X2,X3) 61: U12(X1,active(X2),X3) -> U12(X1,X2,X3) 62: U12(X1,X2,active(X3)) -> U12(X1,X2,X3) 63: isNatKind(mark(X)) -> isNatKind(X) 64: isNatKind(active(X)) -> isNatKind(X) 65: U13(mark(X1),X2,X3) -> U13(X1,X2,X3) 66: U13(X1,mark(X2),X3) -> U13(X1,X2,X3) 67: U13(X1,X2,mark(X3)) -> U13(X1,X2,X3) 68: U13(active(X1),X2,X3) -> U13(X1,X2,X3) 69: U13(X1,active(X2),X3) -> U13(X1,X2,X3) 70: U13(X1,X2,active(X3)) -> U13(X1,X2,X3) 71: U14(mark(X1),X2,X3) -> U14(X1,X2,X3) 72: U14(X1,mark(X2),X3) -> U14(X1,X2,X3) 73: U14(X1,X2,mark(X3)) -> U14(X1,X2,X3) 74: U14(active(X1),X2,X3) -> U14(X1,X2,X3) 75: U14(X1,active(X2),X3) -> U14(X1,X2,X3) 76: U14(X1,X2,active(X3)) -> U14(X1,X2,X3) 77: U15(mark(X1),X2) -> U15(X1,X2) 78: U15(X1,mark(X2)) -> U15(X1,X2) 79: U15(active(X1),X2) -> U15(X1,X2) 80: U15(X1,active(X2)) -> U15(X1,X2) 81: isNat(mark(X)) -> isNat(X) 82: isNat(active(X)) -> isNat(X) 83: U16(mark(X)) -> U16(X) 84: U16(active(X)) -> U16(X) 85: U21(mark(X1),X2) -> U21(X1,X2) 86: U21(X1,mark(X2)) -> U21(X1,X2) 87: U21(active(X1),X2) -> U21(X1,X2) 88: U21(X1,active(X2)) -> U21(X1,X2) 89: U22(mark(X1),X2) -> U22(X1,X2) 90: U22(X1,mark(X2)) -> U22(X1,X2) 91: U22(active(X1),X2) -> U22(X1,X2) 92: U22(X1,active(X2)) -> U22(X1,X2) 93: U23(mark(X)) -> U23(X) 94: U23(active(X)) -> U23(X) 95: U31(mark(X1),X2) -> U31(X1,X2) 96: U31(X1,mark(X2)) -> U31(X1,X2) 97: U31(active(X1),X2) -> U31(X1,X2) 98: U31(X1,active(X2)) -> U31(X1,X2) 99: U32(mark(X)) -> U32(X) 100: U32(active(X)) -> U32(X) 101: U41(mark(X)) -> U41(X) 102: U41(active(X)) -> U41(X) 103: U51(mark(X1),X2) -> U51(X1,X2) 104: U51(X1,mark(X2)) -> U51(X1,X2) 105: U51(active(X1),X2) -> U51(X1,X2) 106: U51(X1,active(X2)) -> U51(X1,X2) 107: U52(mark(X1),X2) -> U52(X1,X2) 108: U52(X1,mark(X2)) -> U52(X1,X2) 109: U52(active(X1),X2) -> U52(X1,X2) 110: U52(X1,active(X2)) -> U52(X1,X2) 111: U61(mark(X1),X2,X3) -> U61(X1,X2,X3) 112: U61(X1,mark(X2),X3) -> U61(X1,X2,X3) 113: U61(X1,X2,mark(X3)) -> U61(X1,X2,X3) 114: U61(active(X1),X2,X3) -> U61(X1,X2,X3) 115: U61(X1,active(X2),X3) -> U61(X1,X2,X3) 116: U61(X1,X2,active(X3)) -> U61(X1,X2,X3) 117: U62(mark(X1),X2,X3) -> U62(X1,X2,X3) 118: U62(X1,mark(X2),X3) -> U62(X1,X2,X3) 119: U62(X1,X2,mark(X3)) -> U62(X1,X2,X3) 120: U62(active(X1),X2,X3) -> U62(X1,X2,X3) 121: U62(X1,active(X2),X3) -> U62(X1,X2,X3) 122: U62(X1,X2,active(X3)) -> U62(X1,X2,X3) 123: U63(mark(X1),X2,X3) -> U63(X1,X2,X3) 124: U63(X1,mark(X2),X3) -> U63(X1,X2,X3) 125: U63(X1,X2,mark(X3)) -> U63(X1,X2,X3) 126: U63(active(X1),X2,X3) -> U63(X1,X2,X3) 127: U63(X1,active(X2),X3) -> U63(X1,X2,X3) 128: U63(X1,X2,active(X3)) -> U63(X1,X2,X3) 129: U64(mark(X1),X2,X3) -> U64(X1,X2,X3) 130: U64(X1,mark(X2),X3) -> U64(X1,X2,X3) 131: U64(X1,X2,mark(X3)) -> U64(X1,X2,X3) 132: U64(active(X1),X2,X3) -> U64(X1,X2,X3) 133: U64(X1,active(X2),X3) -> U64(X1,X2,X3) 134: U64(X1,X2,active(X3)) -> U64(X1,X2,X3) 135: s(mark(X)) -> s(X) 136: s(active(X)) -> s(X) 137: plus(mark(X1),X2) -> plus(X1,X2) 138: plus(X1,mark(X2)) -> plus(X1,X2) 139: plus(active(X1),X2) -> plus(X1,X2) 140: plus(X1,active(X2)) -> plus(X1,X2) Number of strict rules: 140 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #active(U12(tt(),V1,V2)) -> #mark(U13(isNatKind(V2),V1,V2)) #2: #active(U12(tt(),V1,V2)) -> #U13(isNatKind(V2),V1,V2) #3: #active(U12(tt(),V1,V2)) -> #isNatKind(V2) #4: #U21(X1,mark(X2)) -> #U21(X1,X2) #5: #mark(U52(X1,X2)) -> #active(U52(mark(X1),X2)) #6: #mark(U52(X1,X2)) -> #U52(mark(X1),X2) #7: #mark(U52(X1,X2)) -> #mark(X1) #8: #mark(U12(X1,X2,X3)) -> #active(U12(mark(X1),X2,X3)) #9: #mark(U12(X1,X2,X3)) -> #U12(mark(X1),X2,X3) #10: #mark(U12(X1,X2,X3)) -> #mark(X1) #11: #mark(U16(X)) -> #active(U16(mark(X))) #12: #mark(U16(X)) -> #U16(mark(X)) #13: #mark(U16(X)) -> #mark(X) #14: #U16(mark(X)) -> #U16(X) #15: #U13(X1,mark(X2),X3) -> #U13(X1,X2,X3) #16: #mark(U63(X1,X2,X3)) -> #active(U63(mark(X1),X2,X3)) #17: #mark(U63(X1,X2,X3)) -> #U63(mark(X1),X2,X3) #18: #mark(U63(X1,X2,X3)) -> #mark(X1) #19: #mark(U51(X1,X2)) -> #active(U51(mark(X1),X2)) #20: #mark(U51(X1,X2)) -> #U51(mark(X1),X2) #21: #mark(U51(X1,X2)) -> #mark(X1) #22: #U61(X1,active(X2),X3) -> #U61(X1,X2,X3) #23: #U31(mark(X1),X2) -> #U31(X1,X2) #24: #mark(U41(X)) -> #active(U41(mark(X))) #25: #mark(U41(X)) -> #U41(mark(X)) #26: #mark(U41(X)) -> #mark(X) #27: #mark(U22(X1,X2)) -> #active(U22(mark(X1),X2)) #28: #mark(U22(X1,X2)) -> #U22(mark(X1),X2) #29: #mark(U22(X1,X2)) -> #mark(X1) #30: #U61(active(X1),X2,X3) -> #U61(X1,X2,X3) #31: #U32(mark(X)) -> #U32(X) #32: #U31(active(X1),X2) -> #U31(X1,X2) #33: #U22(active(X1),X2) -> #U22(X1,X2) #34: #U14(X1,X2,mark(X3)) -> #U14(X1,X2,X3) #35: #mark(U64(X1,X2,X3)) -> #active(U64(mark(X1),X2,X3)) #36: #mark(U64(X1,X2,X3)) -> #U64(mark(X1),X2,X3) #37: #mark(U64(X1,X2,X3)) -> #mark(X1) #38: #U11(X1,X2,mark(X3)) -> #U11(X1,X2,X3) #39: #U14(mark(X1),X2,X3) -> #U14(X1,X2,X3) #40: #plus(active(X1),X2) -> #plus(X1,X2) #41: #mark(s(X)) -> #active(s(mark(X))) #42: #mark(s(X)) -> #s(mark(X)) #43: #mark(s(X)) -> #mark(X) #44: #U63(mark(X1),X2,X3) -> #U63(X1,X2,X3) #45: #U14(X1,active(X2),X3) -> #U14(X1,X2,X3) #46: #U61(X1,mark(X2),X3) -> #U61(X1,X2,X3) #47: #U14(active(X1),X2,X3) -> #U14(X1,X2,X3) #48: #U12(X1,mark(X2),X3) -> #U12(X1,X2,X3) #49: #plus(X1,mark(X2)) -> #plus(X1,X2) #50: #U61(X1,X2,mark(X3)) -> #U61(X1,X2,X3) #51: #U12(X1,active(X2),X3) -> #U12(X1,X2,X3) #52: #mark(U23(X)) -> #active(U23(mark(X))) #53: #mark(U23(X)) -> #U23(mark(X)) #54: #mark(U23(X)) -> #mark(X) #55: #U61(X1,X2,active(X3)) -> #U61(X1,X2,X3) #56: #active(U16(tt())) -> #mark(tt()) #57: #U12(X1,X2,mark(X3)) -> #U12(X1,X2,X3) #58: #U52(X1,active(X2)) -> #U52(X1,X2) #59: #U64(active(X1),X2,X3) -> #U64(X1,X2,X3) #60: #U11(X1,active(X2),X3) -> #U11(X1,X2,X3) #61: #U13(X1,X2,mark(X3)) -> #U13(X1,X2,X3) #62: #mark(U32(X)) -> #active(U32(mark(X))) #63: #mark(U32(X)) -> #U32(mark(X)) #64: #mark(U32(X)) -> #mark(X) #65: #U22(X1,mark(X2)) -> #U22(X1,X2) #66: #U52(mark(X1),X2) -> #U52(X1,X2) #67: #U11(mark(X1),X2,X3) -> #U11(X1,X2,X3) #68: #active(U51(tt(),N)) -> #mark(U52(isNatKind(N),N)) #69: #active(U51(tt(),N)) -> #U52(isNatKind(N),N) #70: #active(U51(tt(),N)) -> #isNatKind(N) #71: #active(U23(tt())) -> #mark(tt()) #72: #active(U32(tt())) -> #mark(tt()) #73: #U31(X1,active(X2)) -> #U31(X1,X2) #74: #U12(mark(X1),X2,X3) -> #U12(X1,X2,X3) #75: #U14(X1,X2,active(X3)) -> #U14(X1,X2,X3) #76: #U52(active(X1),X2) -> #U52(X1,X2) #77: #U23(active(X)) -> #U23(X) #78: #active(isNatKind(s(V1))) -> #mark(U41(isNatKind(V1))) #79: #active(isNatKind(s(V1))) -> #U41(isNatKind(V1)) #80: #active(isNatKind(s(V1))) -> #isNatKind(V1) #81: #U64(X1,X2,active(X3)) -> #U64(X1,X2,X3) #82: #U13(X1,X2,active(X3)) -> #U13(X1,X2,X3) #83: #active(isNatKind(plus(V1,V2))) -> #mark(U31(isNatKind(V1),V2)) #84: #active(isNatKind(plus(V1,V2))) -> #U31(isNatKind(V1),V2) #85: #active(isNatKind(plus(V1,V2))) -> #isNatKind(V1) #86: #U63(X1,X2,active(X3)) -> #U63(X1,X2,X3) #87: #isNat(mark(X)) -> #isNat(X) #88: #U62(X1,mark(X2),X3) -> #U62(X1,X2,X3) #89: #U15(X1,mark(X2)) -> #U15(X1,X2) #90: #mark(U62(X1,X2,X3)) -> #active(U62(mark(X1),X2,X3)) #91: #mark(U62(X1,X2,X3)) -> #U62(mark(X1),X2,X3) #92: #mark(U62(X1,X2,X3)) -> #mark(X1) #93: #U31(X1,mark(X2)) -> #U31(X1,X2) #94: #U13(X1,active(X2),X3) -> #U13(X1,X2,X3) #95: #U41(mark(X)) -> #U41(X) #96: #active(U41(tt())) -> #mark(tt()) #97: #mark(U13(X1,X2,X3)) -> #active(U13(mark(X1),X2,X3)) #98: #mark(U13(X1,X2,X3)) -> #U13(mark(X1),X2,X3) #99: #mark(U13(X1,X2,X3)) -> #mark(X1) #100: #U15(active(X1),X2) -> #U15(X1,X2) #101: #U11(X1,X2,active(X3)) -> #U11(X1,X2,X3) #102: #U22(mark(X1),X2) -> #U22(X1,X2) #103: #U64(X1,active(X2),X3) -> #U64(X1,X2,X3) #104: #isNat(active(X)) -> #isNat(X) #105: #U61(mark(X1),X2,X3) -> #U61(X1,X2,X3) #106: #active(U52(tt(),N)) -> #mark(N) #107: #U51(X1,active(X2)) -> #U51(X1,X2) #108: #U12(X1,X2,active(X3)) -> #U12(X1,X2,X3) #109: #mark(isNatKind(X)) -> #active(isNatKind(X)) #110: #U11(X1,mark(X2),X3) -> #U11(X1,X2,X3) #111: #mark(plus(X1,X2)) -> #active(plus(mark(X1),mark(X2))) #112: #mark(plus(X1,X2)) -> #plus(mark(X1),mark(X2)) #113: #mark(plus(X1,X2)) -> #mark(X1) #114: #mark(plus(X1,X2)) -> #mark(X2) #115: #active(plus(N,0())) -> #mark(U51(isNat(N),N)) #116: #active(plus(N,0())) -> #U51(isNat(N),N) #117: #active(plus(N,0())) -> #isNat(N) #118: #U64(X1,mark(X2),X3) -> #U64(X1,X2,X3) #119: #U52(X1,mark(X2)) -> #U52(X1,X2) #120: #U64(mark(X1),X2,X3) -> #U64(X1,X2,X3) #121: #active(isNat(plus(V1,V2))) -> #mark(U11(isNatKind(V1),V1,V2)) #122: #active(isNat(plus(V1,V2))) -> #U11(isNatKind(V1),V1,V2) #123: #active(isNat(plus(V1,V2))) -> #isNatKind(V1) #124: #U63(active(X1),X2,X3) -> #U63(X1,X2,X3) #125: #U21(X1,active(X2)) -> #U21(X1,X2) #126: #active(U21(tt(),V1)) -> #mark(U22(isNatKind(V1),V1)) #127: #active(U21(tt(),V1)) -> #U22(isNatKind(V1),V1) #128: #active(U21(tt(),V1)) -> #isNatKind(V1) #129: #mark(U31(X1,X2)) -> #active(U31(mark(X1),X2)) #130: #mark(U31(X1,X2)) -> #U31(mark(X1),X2) #131: #mark(U31(X1,X2)) -> #mark(X1) #132: #s(active(X)) -> #s(X) #133: #active(U31(tt(),V2)) -> #mark(U32(isNatKind(V2))) #134: #active(U31(tt(),V2)) -> #U32(isNatKind(V2)) #135: #active(U31(tt(),V2)) -> #isNatKind(V2) #136: #U22(X1,active(X2)) -> #U22(X1,X2) #137: #U62(X1,X2,mark(X3)) -> #U62(X1,X2,X3) #138: #U23(mark(X)) -> #U23(X) #139: #isNatKind(active(X)) -> #isNatKind(X) #140: #mark(U15(X1,X2)) -> #active(U15(mark(X1),X2)) #141: #mark(U15(X1,X2)) -> #U15(mark(X1),X2) #142: #mark(U15(X1,X2)) -> #mark(X1) #143: #U14(X1,mark(X2),X3) -> #U14(X1,X2,X3) #144: #U62(active(X1),X2,X3) -> #U62(X1,X2,X3) #145: #active(U15(tt(),V2)) -> #mark(U16(isNat(V2))) #146: #active(U15(tt(),V2)) -> #U16(isNat(V2)) #147: #active(U15(tt(),V2)) -> #isNat(V2) #148: #mark(U61(X1,X2,X3)) -> #active(U61(mark(X1),X2,X3)) #149: #mark(U61(X1,X2,X3)) -> #U61(mark(X1),X2,X3) #150: #mark(U61(X1,X2,X3)) -> #mark(X1) #151: #U13(mark(X1),X2,X3) -> #U13(X1,X2,X3) #152: #mark(tt()) -> #active(tt()) #153: #active(isNatKind(0())) -> #mark(tt()) #154: #U63(X1,active(X2),X3) -> #U63(X1,X2,X3) #155: #mark(isNat(X)) -> #active(isNat(X)) #156: #U16(active(X)) -> #U16(X) #157: #U21(active(X1),X2) -> #U21(X1,X2) #158: #mark(U11(X1,X2,X3)) -> #active(U11(mark(X1),X2,X3)) #159: #mark(U11(X1,X2,X3)) -> #U11(mark(X1),X2,X3) #160: #mark(U11(X1,X2,X3)) -> #mark(X1) #161: #plus(mark(X1),X2) -> #plus(X1,X2) #162: #U12(active(X1),X2,X3) -> #U12(X1,X2,X3) #163: #U62(mark(X1),X2,X3) -> #U62(X1,X2,X3) #164: #active(U63(tt(),M,N)) -> #mark(U64(isNatKind(N),M,N)) #165: #active(U63(tt(),M,N)) -> #U64(isNatKind(N),M,N) #166: #active(U63(tt(),M,N)) -> #isNatKind(N) #167: #mark(U14(X1,X2,X3)) -> #active(U14(mark(X1),X2,X3)) #168: #mark(U14(X1,X2,X3)) -> #U14(mark(X1),X2,X3) #169: #mark(U14(X1,X2,X3)) -> #mark(X1) #170: #active(isNat(0())) -> #mark(tt()) #171: #U63(X1,X2,mark(X3)) -> #U63(X1,X2,X3) #172: #isNatKind(mark(X)) -> #isNatKind(X) #173: #s(mark(X)) -> #s(X) #174: #U51(active(X1),X2) -> #U51(X1,X2) #175: #active(plus(N,s(M))) -> #mark(U61(isNat(M),M,N)) #176: #active(plus(N,s(M))) -> #U61(isNat(M),M,N) #177: #active(plus(N,s(M))) -> #isNat(M) #178: #U32(active(X)) -> #U32(X) #179: #U21(mark(X1),X2) -> #U21(X1,X2) #180: #U62(X1,X2,active(X3)) -> #U62(X1,X2,X3) #181: #U13(active(X1),X2,X3) -> #U13(X1,X2,X3) #182: #U64(X1,X2,mark(X3)) -> #U64(X1,X2,X3) #183: #mark(U21(X1,X2)) -> #active(U21(mark(X1),X2)) #184: #mark(U21(X1,X2)) -> #U21(mark(X1),X2) #185: #mark(U21(X1,X2)) -> #mark(X1) #186: #active(isNat(s(V1))) -> #mark(U21(isNatKind(V1),V1)) #187: #active(isNat(s(V1))) -> #U21(isNatKind(V1),V1) #188: #active(isNat(s(V1))) -> #isNatKind(V1) #189: #active(U62(tt(),M,N)) -> #mark(U63(isNat(N),M,N)) #190: #active(U62(tt(),M,N)) -> #U63(isNat(N),M,N) #191: #active(U62(tt(),M,N)) -> #isNat(N) #192: #active(U13(tt(),V1,V2)) -> #mark(U14(isNatKind(V2),V1,V2)) #193: #active(U13(tt(),V1,V2)) -> #U14(isNatKind(V2),V1,V2) #194: #active(U13(tt(),V1,V2)) -> #isNatKind(V2) #195: #U15(mark(X1),X2) -> #U15(X1,X2) #196: #active(U11(tt(),V1,V2)) -> #mark(U12(isNatKind(V1),V1,V2)) #197: #active(U11(tt(),V1,V2)) -> #U12(isNatKind(V1),V1,V2) #198: #active(U11(tt(),V1,V2)) -> #isNatKind(V1) #199: #plus(X1,active(X2)) -> #plus(X1,X2) #200: #U63(X1,mark(X2),X3) -> #U63(X1,X2,X3) #201: #U11(active(X1),X2,X3) -> #U11(X1,X2,X3) #202: #active(U22(tt(),V1)) -> #mark(U23(isNat(V1))) #203: #active(U22(tt(),V1)) -> #U23(isNat(V1)) #204: #active(U22(tt(),V1)) -> #isNat(V1) #205: #U62(X1,active(X2),X3) -> #U62(X1,X2,X3) #206: #active(U61(tt(),M,N)) -> #mark(U62(isNatKind(M),M,N)) #207: #active(U61(tt(),M,N)) -> #U62(isNatKind(M),M,N) #208: #active(U61(tt(),M,N)) -> #isNatKind(M) #209: #U41(active(X)) -> #U41(X) #210: #U51(mark(X1),X2) -> #U51(X1,X2) #211: #active(U14(tt(),V1,V2)) -> #mark(U15(isNat(V1),V2)) #212: #active(U14(tt(),V1,V2)) -> #U15(isNat(V1),V2) #213: #active(U14(tt(),V1,V2)) -> #isNat(V1) #214: #U51(X1,mark(X2)) -> #U51(X1,X2) #215: #U15(X1,active(X2)) -> #U15(X1,X2) #216: #mark(0()) -> #active(0()) #217: #active(U64(tt(),M,N)) -> #mark(s(plus(N,M))) #218: #active(U64(tt(),M,N)) -> #s(plus(N,M)) #219: #active(U64(tt(),M,N)) -> #plus(N,M) Number of SCCs: 23, DPs: 148, edges: 1317 SCC { #139 #172 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: x1 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #139 #172 Number of SCCs: 22, DPs: 146, edges: 1313 SCC { #87 #104 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: x1 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #87 #104 Number of SCCs: 21, DPs: 144, edges: 1309 SCC { #31 #178 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: x1 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #31 #178 Number of SCCs: 20, DPs: 142, edges: 1305 SCC { #77 #138 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: x1 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #77 #138 Number of SCCs: 19, DPs: 140, edges: 1301 SCC { #132 #173 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: x1 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #132 #173 Number of SCCs: 18, DPs: 138, edges: 1297 SCC { #95 #209 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: x1 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #95 #209 Number of SCCs: 17, DPs: 136, edges: 1293 SCC { #14 #156 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: x1 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #14 #156 Number of SCCs: 16, DPs: 134, edges: 1289 SCC { #107 #174 #210 #214 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: x2 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #107 #214 Number of SCCs: 16, DPs: 132, edges: 1277 SCC { #174 #210 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: x1 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #174 #210 Number of SCCs: 15, DPs: 130, edges: 1273 SCC { #4 #125 #157 #179 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: x2 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #4 #125 Number of SCCs: 16, DPs: 128, edges: 1261 SCC { #157 #179 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: x1 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #157 #179 Number of SCCs: 15, DPs: 126, edges: 1257 SCC { #33 #65 #102 #136 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: x1 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #33 #102 Number of SCCs: 16, DPs: 124, edges: 1245 SCC { #65 #136 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: x2 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #65 #136 Number of SCCs: 15, DPs: 122, edges: 1241 SCC { #89 #100 #195 #215 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: x1 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #100 #195 Number of SCCs: 16, DPs: 120, edges: 1229 SCC { #89 #215 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: x2 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #89 #215 Number of SCCs: 15, DPs: 118, edges: 1225 SCC { #23 #32 #73 #93 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: x1 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #23 #32 Number of SCCs: 16, DPs: 116, edges: 1213 SCC { #73 #93 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: x2 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #73 #93 Number of SCCs: 15, DPs: 114, edges: 1209 SCC { #40 #49 #161 #199 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: x2 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #49 #199 Number of SCCs: 16, DPs: 112, edges: 1197 SCC { #40 #161 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: x1 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #40 #161 Number of SCCs: 15, DPs: 110, edges: 1193 SCC { #58 #66 #76 #119 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: x2 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #58 #119 Number of SCCs: 16, DPs: 108, edges: 1181 SCC { #66 #76 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: x1 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #66 #76 Number of SCCs: 15, DPs: 106, edges: 1177 SCC { #15 #61 #82 #94 #151 #181 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: x1 + x2 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #15 #94 #151 #181 Number of SCCs: 16, DPs: 102, edges: 1145 SCC { #61 #82 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: x3 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #61 #82 Number of SCCs: 15, DPs: 100, edges: 1141 SCC { #34 #39 #45 #47 #75 #143 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: x2 + x3 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #34 #45 #75 #143 Number of SCCs: 16, DPs: 96, edges: 1109 SCC { #39 #47 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: x1 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #39 #47 Number of SCCs: 15, DPs: 94, edges: 1105 SCC { #38 #60 #67 #101 #110 #201 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: x1 + x2 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #60 #67 #110 #201 Number of SCCs: 16, DPs: 90, edges: 1073 SCC { #38 #101 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: x3 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #38 #101 Number of SCCs: 15, DPs: 88, edges: 1069 SCC { #48 #51 #57 #74 #108 #162 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: x2 + x3 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #48 #51 #57 #108 Number of SCCs: 16, DPs: 84, edges: 1037 SCC { #74 #162 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: x1 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #74 #162 Number of SCCs: 15, DPs: 82, edges: 1033 SCC { #22 #30 #46 #50 #55 #105 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: x1 + x3 Usable rules: { } Removed DPs: #30 #50 #55 #105 Number of SCCs: 16, DPs: 78, edges: 1001 SCC { #22 #46 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: x2 Usable rules: { } Removed DPs: #22 #46 Number of SCCs: 15, DPs: 76, edges: 997 SCC { #88 #137 #144 #163 #180 #205 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: x1 + x3 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #137 #144 #163 #180 Number of SCCs: 16, DPs: 72, edges: 965 SCC { #88 #205 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: x2 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #88 #205 Number of SCCs: 15, DPs: 70, edges: 961 SCC { #44 #86 #124 #154 #171 #200 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: x1 + x2 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #44 #124 #154 #200 Number of SCCs: 16, DPs: 66, edges: 929 SCC { #86 #171 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: x3 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #86 #171 Number of SCCs: 15, DPs: 64, edges: 925 SCC { #59 #81 #103 #118 #120 #182 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: x2 + x3 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #81 #103 #118 #182 Number of SCCs: 16, DPs: 60, edges: 893 SCC { #59 #120 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: 0 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: 0 s(x1) weight: 0 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: 0 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: 0 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: 0 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 2) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: 0 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: 0 U15(x1,x2) weight: 0 U61(x1,x2,x3) weight: 0 plus(x1,x2) weight: 0 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: x1 active(x1) weight: (/ 1 2) + x1 U31(x1,x2) weight: 0 #U41(x1) weight: 0 #active(x1) weight: 0 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: 0 #isNatKind(x1) weight: 0 U41(x1) weight: 0 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { } Removed DPs: #59 #120 Number of SCCs: 15, DPs: 58, edges: 889 SCC { #1 #5 #7 #8 #10 #13 #16 #18 #19 #21 #26 #27 #29 #35 #37 #43 #54 #64 #68 #78 #83 #90 #92 #97 #99 #106 #109 #111 #113..115 #121 #126 #129 #131 #133 #140 #142 #145 #148 #150 #155 #158 #160 #164 #167 #169 #175 #183 #185 #186 #189 #192 #196 #202 #206 #211 #217 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: x1 U21(x1,x2) weight: x1 U11(x1,x2,x3) weight: x1 U64(x1,x2,x3) weight: (/ 1 2) + x1 + x2 + x3 s(x1) weight: (/ 1 8) + x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: x1 U63(x1,x2,x3) weight: (/ 1 2) + x1 + x2 + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: x1 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 1 2) + x1 + x2 + x3 #U63(x1,x2,x3) weight: 0 mark(x1) weight: x1 #U15(x1,x2) weight: 0 U32(x1) weight: x1 U14(x1,x2,x3) weight: x1 isNat(x1) weight: 0 U52(x1,x2) weight: (/ 1 8) + x1 + x2 U15(x1,x2) weight: x1 U61(x1,x2,x3) weight: (/ 1 2) + x1 + x2 + x3 plus(x1,x2) weight: (/ 3 8) + x1 + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: x1 U31(x1,x2) weight: x1 #U41(x1) weight: 0 #active(x1) weight: x1 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: x1 U22(x1,x2) weight: x1 U51(x1,x2) weight: (/ 1 4) + x1 + x2 #isNatKind(x1) weight: 0 U41(x1) weight: x1 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 1..140 } Removed DPs: #7 #18 #21 #37 #43 #68 #92 #106 #113..115 #150 Number of SCCs: 16, DPs: 34, edges: 296 SCC { #1 #8 #10 #13 #26 #27 #29 #54 #64 #78 #83 #97 #99 #109 #121 #126 #129 #131 #133 #140 #142 #145 #155 #158 #160 #167 #169 #183 #185 #186 #192 #196 #202 #211 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: x1 U21(x1,x2) weight: x1 + x2 U11(x1,x2,x3) weight: x1 + x2 + x3 U64(x1,x2,x3) weight: (/ 3 4) + x1 + x2 + x3 s(x1) weight: x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: x1 U63(x1,x2,x3) weight: (/ 3 4) + x2 + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: x1 + x2 + x3 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 3 4) + x1 + x2 + x3 #U63(x1,x2,x3) weight: 0 mark(x1) weight: x1 #U15(x1,x2) weight: 0 U32(x1) weight: x1 U14(x1,x2,x3) weight: x1 + x2 + x3 isNat(x1) weight: x1 U52(x1,x2) weight: (/ 1 4) + x1 + x2 U15(x1,x2) weight: x1 + x2 U61(x1,x2,x3) weight: (/ 3 4) + x2 + x3 plus(x1,x2) weight: (/ 3 4) + x1 + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: x1 U31(x1,x2) weight: x1 #U41(x1) weight: 0 #active(x1) weight: x1 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: x1 + x2 + x3 U22(x1,x2) weight: x1 + x2 U51(x1,x2) weight: (/ 1 2) + x2 #isNatKind(x1) weight: 0 U41(x1) weight: x1 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 1..140 } Removed DPs: #121 Number of SCCs: 16, DPs: 33, edges: 293 SCC { #1 #8 #10 #13 #26 #27 #29 #54 #64 #78 #83 #97 #99 #109 #126 #129 #131 #133 #140 #142 #145 #155 #158 #160 #167 #169 #183 #185 #186 #192 #196 #202 #211 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: x1 U21(x1,x2) weight: x1 + x2 U11(x1,x2,x3) weight: (/ 1 4) + x1 + x2 + x3 U64(x1,x2,x3) weight: (/ 3 4) + x1 + x2 + x3 s(x1) weight: x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: x1 U63(x1,x2,x3) weight: (/ 3 4) + x2 + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: x1 + x2 + x3 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 3 4) + x1 + x2 + x3 #U63(x1,x2,x3) weight: 0 mark(x1) weight: x1 #U15(x1,x2) weight: 0 U32(x1) weight: x1 U14(x1,x2,x3) weight: x1 + x2 + x3 isNat(x1) weight: x1 U52(x1,x2) weight: (/ 1 4) + x1 + x2 U15(x1,x2) weight: x1 + x2 U61(x1,x2,x3) weight: (/ 3 4) + x2 + x3 plus(x1,x2) weight: (/ 3 4) + x1 + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: x1 U31(x1,x2) weight: x1 #U41(x1) weight: 0 #active(x1) weight: x1 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: x1 + x2 + x3 U22(x1,x2) weight: x1 + x2 U51(x1,x2) weight: (/ 1 2) + x2 #isNatKind(x1) weight: 0 U41(x1) weight: x1 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 1..140 } Removed DPs: #160 #196 Number of SCCs: 16, DPs: 30, edges: 246 SCC { #1 #8 #10 #13 #26 #27 #29 #54 #64 #78 #83 #97 #99 #109 #126 #129 #131 #133 #140 #142 #145 #155 #167 #169 #183 #185 #186 #192 #202 #211 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: x1 U21(x1,x2) weight: (/ 1 4) + x1 + x2 U11(x1,x2,x3) weight: (/ 1 4) + x1 + x2 + x3 U64(x1,x2,x3) weight: (/ 3 4) + x2 + x3 s(x1) weight: (/ 1 2) + x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: x1 U63(x1,x2,x3) weight: (/ 3 4) + x2 + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: x1 + x2 + x3 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 3 4) + x1 + x2 + x3 #U63(x1,x2,x3) weight: 0 mark(x1) weight: x1 #U15(x1,x2) weight: 0 U32(x1) weight: x1 U14(x1,x2,x3) weight: x1 + x2 + x3 isNat(x1) weight: x1 U52(x1,x2) weight: (/ 1 4) + x1 + x2 U15(x1,x2) weight: x1 + x2 U61(x1,x2,x3) weight: (/ 3 4) + x2 + x3 plus(x1,x2) weight: (/ 1 4) + x1 + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: x1 U31(x1,x2) weight: x1 #U41(x1) weight: 0 #active(x1) weight: x1 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: x1 + x2 + x3 U22(x1,x2) weight: x1 + x2 U51(x1,x2) weight: (/ 1 4) + x2 #isNatKind(x1) weight: 0 U41(x1) weight: x1 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 1..140 } Removed DPs: #126 #185 #186 Number of SCCs: 16, DPs: 25, edges: 190 SCC { #1 #8 #10 #13 #26 #27 #29 #54 #64 #78 #83 #97 #99 #109 #129 #131 #133 #140 #142 #145 #167 #169 #192 #202 #211 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: x1 U21(x1,x2) weight: (/ 1 4) + x1 + x2 U11(x1,x2,x3) weight: (/ 1 4) + x1 + x2 + x3 U64(x1,x2,x3) weight: (/ 3 4) + x2 + x3 s(x1) weight: (/ 1 2) + x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: x1 U63(x1,x2,x3) weight: (/ 3 4) + x2 + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: x1 + x2 + x3 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 3 4) + x1 + x2 + x3 #U63(x1,x2,x3) weight: 0 mark(x1) weight: x1 #U15(x1,x2) weight: 0 U32(x1) weight: x1 U14(x1,x2,x3) weight: x1 + x2 + x3 isNat(x1) weight: x1 U52(x1,x2) weight: (/ 1 4) + x1 + x2 U15(x1,x2) weight: x1 + x2 U61(x1,x2,x3) weight: (/ 3 4) + x2 + x3 plus(x1,x2) weight: (/ 1 4) + x1 + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: x1 U31(x1,x2) weight: x1 #U41(x1) weight: 0 #active(x1) weight: x1 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: x1 + x2 + x3 U22(x1,x2) weight: (/ 1 4) + x1 + x2 U51(x1,x2) weight: (/ 1 4) + x2 #isNatKind(x1) weight: 0 U41(x1) weight: x1 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 1..140 } Removed DPs: #29 #202 Number of SCCs: 16, DPs: 22, edges: 153 SCC { #1 #8 #10 #13 #26 #54 #64 #78 #83 #97 #99 #109 #129 #131 #133 #140 #142 #145 #167 #169 #192 #211 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: x1 U21(x1,x2) weight: (/ 1 4) + x1 + x2 U11(x1,x2,x3) weight: (/ 1 4) + x1 + x2 + x3 U64(x1,x2,x3) weight: (/ 3 4) + x2 + x3 s(x1) weight: (/ 1 2) + x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: (/ 1 4) + x1 U63(x1,x2,x3) weight: (/ 3 4) + x2 + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: x1 + x2 + x3 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 3 4) + x1 + x2 + x3 #U63(x1,x2,x3) weight: 0 mark(x1) weight: x1 #U15(x1,x2) weight: 0 U32(x1) weight: x1 U14(x1,x2,x3) weight: x1 + x2 + x3 isNat(x1) weight: x1 U52(x1,x2) weight: (/ 1 4) + x1 + x2 U15(x1,x2) weight: x1 + x2 U61(x1,x2,x3) weight: (/ 3 4) + x2 + x3 plus(x1,x2) weight: (/ 1 4) + x1 + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: x1 U31(x1,x2) weight: x1 #U41(x1) weight: 0 #active(x1) weight: x1 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: x1 + x2 + x3 U22(x1,x2) weight: (/ 1 4) + x1 + x2 U51(x1,x2) weight: (/ 1 4) + x2 #isNatKind(x1) weight: 0 U41(x1) weight: x1 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 1..140 } Removed DPs: #54 Number of SCCs: 16, DPs: 21, edges: 130 SCC { #1 #8 #10 #13 #26 #64 #78 #83 #97 #99 #109 #129 #131 #133 #140 #142 #145 #167 #169 #192 #211 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: 0 U16(x1) weight: x1 U21(x1,x2) weight: (/ 1 8) + x2 U11(x1,x2,x3) weight: (/ 3 8) + x2 + x3 U64(x1,x2,x3) weight: (/ 1 2) + x2 + x3 s(x1) weight: (/ 1 8) + x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: (/ 1 2) + x2 + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: (/ 3 8) + x1 + x2 + x3 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 1 2) + x2 + x3 #U63(x1,x2,x3) weight: 0 mark(x1) weight: x1 #U15(x1,x2) weight: 0 U32(x1) weight: x1 U14(x1,x2,x3) weight: (/ 1 8) + x1 + x2 + x3 isNat(x1) weight: x1 U52(x1,x2) weight: (/ 1 8) + x2 U15(x1,x2) weight: x1 + x2 U61(x1,x2,x3) weight: (/ 1 2) + x2 + x3 plus(x1,x2) weight: (/ 3 8) + x1 + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: x1 U31(x1,x2) weight: x1 #U41(x1) weight: 0 #active(x1) weight: x1 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: (/ 1 4) + x1 + x2 + x3 U22(x1,x2) weight: 0 U51(x1,x2) weight: (/ 1 8) + x2 #isNatKind(x1) weight: 0 U41(x1) weight: x1 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 1..140 } Removed DPs: #1 #10 #99 #169 #192 #211 Number of SCCs: 16, DPs: 12, edges: 49 SCC { #13 #26 #64 #78 #83 #109 #129 #131 #133 #140 #142 #145 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: x1 U16(x1) weight: x1 U21(x1,x2) weight: 0 U11(x1,x2,x3) weight: 0 U64(x1,x2,x3) weight: (/ 5 4) + x2 + x3 s(x1) weight: (/ 1 2) + x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: 0 U63(x1,x2,x3) weight: (/ 5 4) + x2 + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: 0 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 5 4) + x2 + x3 #U63(x1,x2,x3) weight: 0 mark(x1) weight: x1 #U15(x1,x2) weight: 0 U32(x1) weight: (/ 1 4) + x1 U14(x1,x2,x3) weight: 0 isNat(x1) weight: 0 U52(x1,x2) weight: (/ 1 4) + x2 U15(x1,x2) weight: x1 U61(x1,x2,x3) weight: (/ 5 4) + x2 + x3 plus(x1,x2) weight: (/ 3 4) + x1 + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: x1 U31(x1,x2) weight: (/ 1 2) + x1 + x2 #U41(x1) weight: 0 #active(x1) weight: x1 #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: 0 U22(x1,x2) weight: 0 U51(x1,x2) weight: (/ 1 4) + x2 #isNatKind(x1) weight: 0 U41(x1) weight: (/ 1 4) + x1 #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 1..140 } Removed DPs: #26 #64 #78 #83 #131 #133 Number of SCCs: 16, DPs: 4, edges: 8 SCC { #13 #140 #142 #145 } Removing DPs: Order(PosReal,>,Sum)... succeeded. #U32(x1) weight: 0 isNatKind(x1) weight: x1 U16(x1) weight: (/ 1 16) + x1 U21(x1,x2) weight: (/ 1 8) U11(x1,x2,x3) weight: (/ 1 8) U64(x1,x2,x3) weight: (/ 5 16) + x2 + x3 s(x1) weight: (/ 1 4) + x1 #isNat(x1) weight: 0 #plus(x1,x2) weight: 0 #U23(x1) weight: 0 U23(x1) weight: (/ 1 8) U63(x1,x2,x3) weight: (/ 3 16) + x3 #U13(x1,x2,x3) weight: 0 #U52(x1,x2) weight: 0 U12(x1,x2,x3) weight: (/ 1 4) + x2 #U16(x1) weight: 0 #U12(x1,x2,x3) weight: 0 #U62(x1,x2,x3) weight: 0 #mark(x1) weight: x1 0() weight: 0 #U14(x1,x2,x3) weight: 0 #s(x1) weight: 0 U62(x1,x2,x3) weight: (/ 1 16) + x2 #U63(x1,x2,x3) weight: 0 mark(x1) weight: (/ 1 16) + x1 #U15(x1,x2) weight: 0 U32(x1) weight: (/ 7 16) U14(x1,x2,x3) weight: x2 isNat(x1) weight: 0 U52(x1,x2) weight: (/ 7 16) U15(x1,x2) weight: (/ 3 16) + x1 U61(x1,x2,x3) weight: (/ 9 16) + x2 + x3 plus(x1,x2) weight: (/ 3 16) + x2 #U51(x1,x2) weight: 0 #U11(x1,x2,x3) weight: 0 #U64(x1,x2,x3) weight: 0 active(x1) weight: (/ 1 8) + x1 U31(x1,x2) weight: (/ 5 16) + x2 #U41(x1) weight: 0 #active(x1) weight: (/ 1 8) #U21(x1,x2) weight: 0 #U22(x1,x2) weight: 0 tt() weight: 0 U13(x1,x2,x3) weight: (/ 3 8) U22(x1,x2) weight: x2 U51(x1,x2) weight: (/ 5 16) + x2 #isNatKind(x1) weight: 0 U41(x1) weight: (/ 3 8) #U31(x1,x2) weight: 0 #U61(x1,x2,x3) weight: 0 Usable rules: { 51..62 65..82 85..98 101..134 137..140 } Removed DPs: #13 #140 #142 #145 Number of SCCs: 15, DPs: 0, edges: 0 YES