0.96/0.84	MAYBE
0.96/0.84	Input TRS:
0.96/0.84	    AC symbols: plus union mult
0.96/0.84	    1: union(X,empty()) -> X
0.96/0.84	    2: union(empty(),X) -> X
0.96/0.84	    3: 0(z()) -> z()
0.96/0.84	    4: U101(tt(),X,Y) -> 0(mult(X,Y))
0.96/0.84	    5: U11(tt(),V1) -> U12(isBin(V1))
0.96/0.84	    6: U111(tt(),X,Y) -> plus(0(mult(X,Y)),Y)
0.96/0.84	    7: U12(tt()) -> tt()
0.96/0.84	    8: U121(tt(),X) -> X
0.96/0.84	    9: U131(tt(),X,Y) -> 0(plus(X,Y))
0.96/0.84	    10: U141(tt(),X,Y) -> 1(plus(X,Y))
0.96/0.84	    11: U151(tt(),X,Y) -> 0(plus(plus(X,Y),1(z())))
0.96/0.84	    12: U161(tt(),X) -> X
0.96/0.84	    13: U171(tt(),A,B) -> mult(prod(A),prod(B))
0.96/0.84	    14: U181(tt(),X) -> X
0.96/0.84	    15: U191(tt(),A,B) -> plus(sum(A),sum(B))
0.96/0.84	    16: U21(tt(),V1,V2) -> U22(isBag(V1),V2)
0.96/0.84	    17: U22(tt(),V2) -> U23(isBag(V2))
0.96/0.84	    18: U23(tt()) -> tt()
0.96/0.84	    19: U31(tt(),V1) -> U32(isBin(V1))
0.96/0.84	    20: U32(tt()) -> tt()
0.96/0.84	    21: U41(tt(),V1) -> U42(isBin(V1))
0.96/0.84	    22: U42(tt()) -> tt()
0.96/0.84	    23: U51(tt(),V1,V2) -> U52(isBin(V1),V2)
0.96/0.84	    24: U52(tt(),V2) -> U53(isBin(V2))
0.96/0.84	    25: U53(tt()) -> tt()
0.96/0.84	    26: U61(tt(),V1,V2) -> U62(isBin(V1),V2)
0.96/0.84	    27: U62(tt(),V2) -> U63(isBin(V2))
0.96/0.84	    28: U63(tt()) -> tt()
0.96/0.84	    29: U71(tt(),V1) -> U72(isBag(V1))
0.96/0.84	    30: U72(tt()) -> tt()
0.96/0.84	    31: U81(tt(),V1) -> U82(isBag(V1))
0.96/0.84	    32: U82(tt()) -> tt()
0.96/0.84	    33: U91(tt()) -> z()
0.96/0.84	    34: and(tt(),X) -> X
0.96/0.84	    35: isBag(empty()) -> tt()
0.96/0.84	    36: isBag(singl(V1)) -> U11(isBinKind(V1),V1)
0.96/0.84	    37: isBag(union(V1,V2)) -> U21(and(isBagKind(V1),isBagKind(V2)),V1,V2)
0.96/0.84	    38: isBagKind(empty()) -> tt()
0.96/0.84	    39: isBagKind(singl(V1)) -> isBinKind(V1)
0.96/0.84	    40: isBagKind(union(V1,V2)) -> and(isBagKind(V1),isBagKind(V2))
0.96/0.84	    41: isBin(z()) -> tt()
0.96/0.84	    42: isBin(0(V1)) -> U31(isBinKind(V1),V1)
0.96/0.84	    43: isBin(1(V1)) -> U41(isBinKind(V1),V1)
0.96/0.84	    44: isBin(mult(V1,V2)) -> U51(and(isBinKind(V1),isBinKind(V2)),V1,V2)
0.96/0.84	    45: isBin(plus(V1,V2)) -> U61(and(isBinKind(V1),isBinKind(V2)),V1,V2)
0.96/0.84	    46: isBin(prod(V1)) -> U71(isBagKind(V1),V1)
0.96/0.84	    47: isBin(sum(V1)) -> U81(isBagKind(V1),V1)
0.96/0.84	    48: isBinKind(z()) -> tt()
0.96/0.84	    49: isBinKind(0(V1)) -> isBinKind(V1)
0.96/0.84	    50: isBinKind(1(V1)) -> isBinKind(V1)
0.96/0.84	    51: isBinKind(mult(V1,V2)) -> and(isBinKind(V1),isBinKind(V2))
0.96/0.84	    52: isBinKind(plus(V1,V2)) -> and(isBinKind(V1),isBinKind(V2))
0.96/0.84	    53: isBinKind(prod(V1)) -> isBagKind(V1)
0.96/0.84	    54: isBinKind(sum(V1)) -> isBagKind(V1)
0.96/0.84	    55: mult(z(),X) -> U91(and(isBin(X),isBinKind(X)))
0.96/0.84	    56: mult(0(X),Y) -> U101(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	    57: mult(1(X),Y) -> U111(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	    58: plus(z(),X) -> U121(and(isBin(X),isBinKind(X)),X)
0.96/0.84	    59: plus(0(X),0(Y)) -> U131(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	    60: plus(0(X),1(Y)) -> U141(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	    61: plus(1(X),1(Y)) -> U151(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	    62: prod(empty()) -> 1(z())
0.96/0.84	    63: prod(singl(X)) -> U161(and(isBin(X),isBinKind(X)),X)
0.96/0.84	    64: prod(union(A,B)) -> U171(and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B))),A,B)
0.96/0.84	    65: sum(empty()) -> 0(z())
0.96/0.84	    66: sum(singl(X)) -> U181(and(isBin(X),isBinKind(X)),X)
0.96/0.84	    67: sum(union(A,B)) -> U191(and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B))),A,B)
0.96/0.84	Number of strict rules: 67
0.96/0.84	Direct POLO(bPol) ... failed.
0.96/0.84	Uncurrying ... failed.
0.96/0.84	Dependency Pairs:
0.96/0.84	   #1: #isBin(1(V1)) -> #U41(isBinKind(V1),V1)
0.96/0.84	   #2: #isBin(1(V1)) -> #isBinKind(V1)
0.96/0.84	   #3: #U71(tt(),V1) -> #U72(isBag(V1))
0.96/0.84	   #4: #U71(tt(),V1) -> #isBag(V1)
0.96/0.84	   #5: #sum(singl(X)) -> #U181(and(isBin(X),isBinKind(X)),X)
0.96/0.84	   #6: #sum(singl(X)) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #7: #sum(singl(X)) -> #isBin(X)
0.96/0.84	   #8: #sum(singl(X)) -> #isBinKind(X)
0.96/0.84	   #9: #isBin(prod(V1)) -> #U71(isBagKind(V1),V1)
0.96/0.84	   #10: #isBin(prod(V1)) -> #isBagKind(V1)
0.96/0.84	   #11: #isBin(0(V1)) -> #U31(isBinKind(V1),V1)
0.96/0.84	   #12: #isBin(0(V1)) -> #isBinKind(V1)
0.96/0.84	   #13: #isBag(union(V1,V2)) -> #U21(and(isBagKind(V1),isBagKind(V2)),V1,V2)
0.96/0.84	   #14: #isBag(union(V1,V2)) -> #and(isBagKind(V1),isBagKind(V2))
0.96/0.84	   #15: #isBag(union(V1,V2)) -> #isBagKind(V1)
0.96/0.84	   #16: #isBag(union(V1,V2)) -> #isBagKind(V2)
0.96/0.84	   #17: #isBin(sum(V1)) -> #U81(isBagKind(V1),V1)
0.96/0.84	   #18: #isBin(sum(V1)) -> #isBagKind(V1)
0.96/0.84	   #19: #isBinKind(prod(V1)) -> #isBagKind(V1)
0.96/0.84	   #20: #plus(z(),X) -> #U121(and(isBin(X),isBinKind(X)),X)
0.96/0.84	   #21: #plus(z(),X) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #22: #plus(z(),X) -> #isBin(X)
0.96/0.84	   #23: #plus(z(),X) -> #isBinKind(X)
0.96/0.84	   #24: #plus(1(X),1(Y)) -> #U151(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	   #25: #plus(1(X),1(Y)) -> #and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y)))
0.96/0.84	   #26: #plus(1(X),1(Y)) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #27: #plus(1(X),1(Y)) -> #isBin(X)
0.96/0.84	   #28: #plus(1(X),1(Y)) -> #isBinKind(X)
0.96/0.84	   #29: #plus(1(X),1(Y)) -> #and(isBin(Y),isBinKind(Y))
0.96/0.84	   #30: #plus(1(X),1(Y)) -> #isBin(Y)
0.96/0.84	   #31: #plus(1(X),1(Y)) -> #isBinKind(Y)
0.96/0.84	   #32: #U111(tt(),X,Y) -> #plus(0(mult(X,Y)),Y)
0.96/0.84	   #33: #U111(tt(),X,Y) -> #0(mult(X,Y))
0.96/0.84	   #34: #U111(tt(),X,Y) -> #mult(X,Y)
0.96/0.84	   #35: #plus(0(X),0(Y)) -> #U131(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	   #36: #plus(0(X),0(Y)) -> #and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y)))
0.96/0.84	   #37: #plus(0(X),0(Y)) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #38: #plus(0(X),0(Y)) -> #isBin(X)
0.96/0.84	   #39: #plus(0(X),0(Y)) -> #isBinKind(X)
0.96/0.84	   #40: #plus(0(X),0(Y)) -> #and(isBin(Y),isBinKind(Y))
0.96/0.84	   #41: #plus(0(X),0(Y)) -> #isBin(Y)
0.96/0.84	   #42: #plus(0(X),0(Y)) -> #isBinKind(Y)
0.96/0.84	   #43: #mult(z(),X) -> #U91(and(isBin(X),isBinKind(X)))
0.96/0.84	   #44: #mult(z(),X) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #45: #mult(z(),X) -> #isBin(X)
0.96/0.84	   #46: #mult(z(),X) -> #isBinKind(X)
0.96/0.84	   #47: #sum(union(A,B)) -> #U191(and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B))),A,B)
0.96/0.84	   #48: #sum(union(A,B)) -> #and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B)))
0.96/0.84	   #49: #sum(union(A,B)) -> #and(isBag(A),isBagKind(A))
0.96/0.84	   #50: #sum(union(A,B)) -> #isBag(A)
0.96/0.84	   #51: #sum(union(A,B)) -> #isBagKind(A)
0.96/0.84	   #52: #sum(union(A,B)) -> #and(isBag(B),isBagKind(B))
0.96/0.84	   #53: #sum(union(A,B)) -> #isBag(B)
0.96/0.84	   #54: #sum(union(A,B)) -> #isBagKind(B)
0.96/0.84	   #55: #isBagKind(union(V1,V2)) -> #and(isBagKind(V1),isBagKind(V2))
0.96/0.84	   #56: #isBagKind(union(V1,V2)) -> #isBagKind(V1)
0.96/0.84	   #57: #isBagKind(union(V1,V2)) -> #isBagKind(V2)
0.96/0.84	   #58: #isBinKind(mult(V1,V2)) -> #and(isBinKind(V1),isBinKind(V2))
0.96/0.84	   #59: #isBinKind(mult(V1,V2)) -> #isBinKind(V1)
0.96/0.84	   #60: #isBinKind(mult(V1,V2)) -> #isBinKind(V2)
0.96/0.84	   #61: #U171(tt(),A,B) -> #mult(prod(A),prod(B))
0.96/0.84	   #62: #U171(tt(),A,B) -> #prod(A)
0.96/0.84	   #63: #U171(tt(),A,B) -> #prod(B)
0.96/0.84	   #64: #U131(tt(),X,Y) -> #0(plus(X,Y))
0.96/0.84	   #65: #U131(tt(),X,Y) -> #plus(X,Y)
0.96/0.84	   #66: #U151(tt(),X,Y) -> #0(plus(plus(X,Y),1(z())))
0.96/0.84	   #67: #U151(tt(),X,Y) -> #plus(plus(X,Y),1(z()))
0.96/0.84	   #68: #U151(tt(),X,Y) -> #plus(X,Y)
0.96/0.84	   #69: #mult(1(X),Y) -> #U111(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	   #70: #mult(1(X),Y) -> #and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y)))
0.96/0.84	   #71: #mult(1(X),Y) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #72: #mult(1(X),Y) -> #isBin(X)
0.96/0.84	   #73: #mult(1(X),Y) -> #isBinKind(X)
0.96/0.84	   #74: #mult(1(X),Y) -> #and(isBin(Y),isBinKind(Y))
0.96/0.84	   #75: #mult(1(X),Y) -> #isBin(Y)
0.96/0.84	   #76: #mult(1(X),Y) -> #isBinKind(Y)
0.96/0.84	   #77: #U52(tt(),V2) -> #U53(isBin(V2))
0.96/0.84	   #78: #U52(tt(),V2) -> #isBin(V2)
0.96/0.84	   #79: #mult(x,mult(y,z)) ->= #mult(mult(x,y),z)
0.96/0.84	   #80: #mult(x,mult(y,z)) ->= #mult(x,y)
0.96/0.84	   #81: #U51(tt(),V1,V2) -> #U52(isBin(V1),V2)
0.96/0.84	   #82: #U51(tt(),V1,V2) -> #isBin(V1)
0.96/0.84	   #83: #isBin(plus(V1,V2)) -> #U61(and(isBinKind(V1),isBinKind(V2)),V1,V2)
0.96/0.84	   #84: #isBin(plus(V1,V2)) -> #and(isBinKind(V1),isBinKind(V2))
0.96/0.84	   #85: #isBin(plus(V1,V2)) -> #isBinKind(V1)
0.96/0.84	   #86: #isBin(plus(V1,V2)) -> #isBinKind(V2)
0.96/0.84	   #87: #union(x,union(y,z)) ->= #union(union(x,y),z)
0.96/0.84	   #88: #union(x,union(y,z)) ->= #union(x,y)
0.96/0.84	   #89: #U81(tt(),V1) -> #U82(isBag(V1))
0.96/0.84	   #90: #U81(tt(),V1) -> #isBag(V1)
0.96/0.84	   #91: #mult(0(X),Y) -> #U101(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	   #92: #mult(0(X),Y) -> #and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y)))
0.96/0.84	   #93: #mult(0(X),Y) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #94: #mult(0(X),Y) -> #isBin(X)
0.96/0.84	   #95: #mult(0(X),Y) -> #isBinKind(X)
0.96/0.84	   #96: #mult(0(X),Y) -> #and(isBin(Y),isBinKind(Y))
0.96/0.84	   #97: #mult(0(X),Y) -> #isBin(Y)
0.96/0.84	   #98: #mult(0(X),Y) -> #isBinKind(Y)
0.96/0.84	   #99: #isBinKind(plus(V1,V2)) -> #and(isBinKind(V1),isBinKind(V2))
0.96/0.84	   #100: #isBinKind(plus(V1,V2)) -> #isBinKind(V1)
0.96/0.84	   #101: #isBinKind(plus(V1,V2)) -> #isBinKind(V2)
0.96/0.84	   #102: #isBinKind(0(V1)) -> #isBinKind(V1)
0.96/0.84	   #103: #isBagKind(singl(V1)) -> #isBinKind(V1)
0.96/0.84	   #104: #U141(tt(),X,Y) -> #plus(X,Y)
0.96/0.84	   #105: #prod(union(A,B)) -> #U171(and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B))),A,B)
0.96/0.84	   #106: #prod(union(A,B)) -> #and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B)))
0.96/0.84	   #107: #prod(union(A,B)) -> #and(isBag(A),isBagKind(A))
0.96/0.84	   #108: #prod(union(A,B)) -> #isBag(A)
0.96/0.84	   #109: #prod(union(A,B)) -> #isBagKind(A)
0.96/0.84	   #110: #prod(union(A,B)) -> #and(isBag(B),isBagKind(B))
0.96/0.84	   #111: #prod(union(A,B)) -> #isBag(B)
0.96/0.84	   #112: #prod(union(A,B)) -> #isBagKind(B)
0.96/0.84	   #113: #U11(tt(),V1) -> #U12(isBin(V1))
0.96/0.84	   #114: #U11(tt(),V1) -> #isBin(V1)
0.96/0.84	   #115: #isBin(mult(V1,V2)) -> #U51(and(isBinKind(V1),isBinKind(V2)),V1,V2)
0.96/0.84	   #116: #isBin(mult(V1,V2)) -> #and(isBinKind(V1),isBinKind(V2))
0.96/0.84	   #117: #isBin(mult(V1,V2)) -> #isBinKind(V1)
0.96/0.84	   #118: #isBin(mult(V1,V2)) -> #isBinKind(V2)
0.96/0.84	   #119: #sum(empty()) -> #0(z())
0.96/0.84	   #120: #U62(tt(),V2) -> #U63(isBin(V2))
0.96/0.84	   #121: #U62(tt(),V2) -> #isBin(V2)
0.96/0.84	   #122: #plus(0(X),1(Y)) -> #U141(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y)
0.96/0.84	   #123: #plus(0(X),1(Y)) -> #and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y)))
0.96/0.84	   #124: #plus(0(X),1(Y)) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #125: #plus(0(X),1(Y)) -> #isBin(X)
0.96/0.84	   #126: #plus(0(X),1(Y)) -> #isBinKind(X)
0.96/0.84	   #127: #plus(0(X),1(Y)) -> #and(isBin(Y),isBinKind(Y))
0.96/0.84	   #128: #plus(0(X),1(Y)) -> #isBin(Y)
0.96/0.84	   #129: #plus(0(X),1(Y)) -> #isBinKind(Y)
0.96/0.84	   #130: #U22(tt(),V2) -> #U23(isBag(V2))
0.96/0.84	   #131: #U22(tt(),V2) -> #isBag(V2)
0.96/0.84	   #132: #U31(tt(),V1) -> #U32(isBin(V1))
0.96/0.84	   #133: #U31(tt(),V1) -> #isBin(V1)
0.96/0.84	   #134: #prod(singl(X)) -> #U161(and(isBin(X),isBinKind(X)),X)
0.96/0.84	   #135: #prod(singl(X)) -> #and(isBin(X),isBinKind(X))
0.96/0.84	   #136: #prod(singl(X)) -> #isBin(X)
0.96/0.84	   #137: #prod(singl(X)) -> #isBinKind(X)
0.96/0.84	   #138: #U61(tt(),V1,V2) -> #U62(isBin(V1),V2)
0.96/0.84	   #139: #U61(tt(),V1,V2) -> #isBin(V1)
0.96/0.84	   #140: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.96/0.84	   #141: #plus(x,plus(y,z)) ->= #plus(x,y)
0.96/0.84	   #142: #isBag(singl(V1)) -> #U11(isBinKind(V1),V1)
0.96/0.84	   #143: #isBag(singl(V1)) -> #isBinKind(V1)
0.96/0.84	   #144: #U41(tt(),V1) -> #U42(isBin(V1))
0.96/0.84	   #145: #U41(tt(),V1) -> #isBin(V1)
0.96/0.84	   #146: #U21(tt(),V1,V2) -> #U22(isBag(V1),V2)
0.96/0.84	   #147: #U21(tt(),V1,V2) -> #isBag(V1)
0.96/0.84	   #148: #isBinKind(sum(V1)) -> #isBagKind(V1)
0.96/0.84	   #149: #U191(tt(),A,B) -> #plus(sum(A),sum(B))
0.96/0.84	   #150: #U191(tt(),A,B) -> #sum(A)
0.96/0.84	   #151: #U191(tt(),A,B) -> #sum(B)
0.96/0.84	   #152: #U101(tt(),X,Y) -> #0(mult(X,Y))
0.96/0.84	   #153: #U101(tt(),X,Y) -> #mult(X,Y)
0.96/0.84	   #154: #isBinKind(1(V1)) -> #isBinKind(V1)
0.96/0.84	Number of SCCs: 7, DPs: 56
0.96/0.84	  SCC { #87 #88 }
0.96/0.84	only weak rules.
0.96/0.84	Number of SCCs: 6, DPs: 54
0.96/0.84	  SCC { #62 #63 #105 }
0.96/0.84	POLO(Sum)... succeeded.
0.96/0.84	      #0 	w: 0
0.96/0.84	      #U72	w: 0
0.96/0.84	      #U32	w: 0
0.96/0.84	      #isBag	w: 0
0.96/0.84	      U21	w: 7
0.96/0.84	      1 	w: x1 + 1
0.96/0.84	      prod	w: x1 + 4
0.96/0.84	      U161	w: 0
0.96/0.84	      U11	w: x1 + x2 + 2
0.96/0.84	      z 	w: 1
0.96/0.84	      #U181	w: 0
0.96/0.84	      #prod	w: x1
0.96/0.84	      U42	w: 0
0.96/0.84	      U91	w: 0
0.96/0.84	      #U101	w: 0
0.96/0.84	      #U82	w: 0
0.96/0.84	      U71	w: x1 + x2
0.96/0.84	      #isBagKind	w: 0
0.96/0.84	      #U81	w: 0
0.96/0.84	      and	w: x1 + x2 + 1
0.96/0.84	      U131	w: 0
0.96/0.84	      #plus	w: 0
0.96/0.84	      U101	w: 0
0.96/0.84	      U111	w: 0
0.96/0.84	      #U23	w: 0
0.96/0.84	      #U53	w: 0
0.96/0.84	      #U121	w: 0
0.96/0.84	      U23	w: 6
0.96/0.84	      U63	w: 1
0.96/0.84	      #U131	w: 0
0.96/0.84	      U72	w: x1
0.96/0.84	      #U52	w: 0
0.96/0.84	      U12	w: 6
0.96/0.84	      sum	w: 2
0.96/0.84	      mult	w: 1
0.96/0.84	      isBagKind	w: x1 + 4
0.96/0.84	      isBinKind	w: x1 + 1
0.96/0.84	      #U42	w: 0
0.96/0.84	      isBin	w: x1 + 4
0.96/0.84	      #U141	w: 0
0.96/0.84	      #U12	w: 0
0.96/0.84	      U141	w: 0
0.96/0.84	      #U171	w: x2 + x3 + 1
0.96/0.84	      #U62	w: 0
0.96/0.84	      #isBinKind	w: 0
0.96/0.84	      0 	w: x1 + 1
0.96/0.84	      U191	w: 0
0.96/0.84	      #isBin	w: 0
0.96/0.84	      U171	w: 0
0.96/0.84	      union	w: x1 + x2 + 5
0.96/0.84	      U62	w: 0
0.96/0.84	      #U63	w: 0
0.96/0.84	      U151	w: 0
0.96/0.84	      #U111	w: 0
0.96/0.84	      U32	w: x1
0.96/0.84	      singl	w: x1 + 1
0.96/0.84	      U52	w: x1
0.96/0.84	      plus	w: 1
0.96/0.84	      U61	w: x1 + x2 + 3
0.96/0.84	      #U51	w: 0
0.96/0.84	      #U11	w: 0
0.96/0.84	      U31	w: x1 + x2 + 5
0.96/0.84	      #U41	w: 0
0.96/0.84	      #U191	w: 0
0.96/0.84	      empty	w: 1
0.96/0.84	      #U21	w: 0
0.96/0.84	      U81	w: 6
0.96/0.84	      U82	w: 6
0.96/0.84	      #U22	w: 0
0.96/0.84	      tt	w: 6
0.96/0.84	      #U71	w: 0
0.96/0.84	      #U151	w: 0
0.96/0.84	      isBag	w: x1 + 1
0.96/0.84	      U22	w: x1 + x2 + 7
0.96/0.84	      U51	w: x1 + x2 + 3
0.96/0.84	      #U161	w: 0
0.96/0.84	      #sum	w: 0
0.96/0.84	      U53	w: 0
0.96/0.84	      U41	w: x1 + x2
0.96/0.84	      #U31	w: 0
0.96/0.84	      #and	w: 0
0.96/0.84	      #union	w: 0
0.96/0.84	      #U91	w: 0
0.96/0.84	      #mult	w: 0
0.96/0.84	      U121	w: 0
0.96/0.84	      #U61	w: 0
0.96/0.84	      U181	w: 0
0.96/0.84	    USABLE RULES: { 7 18 30 32 }
0.96/0.84	    Removed DPs: #62 #63 #105
0.96/0.84	Number of SCCs: 5, DPs: 51
0.96/0.84	  SCC { #47 #150 #151 }
0.96/0.84	POLO(Sum)... succeeded.
0.96/0.84	      #0 	w: 0
0.96/0.84	      #U72	w: 0
0.96/0.84	      #U32	w: 0
0.96/0.84	      #isBag	w: 0
0.96/0.84	      U21	w: 7
0.96/0.84	      1 	w: x1 + 1
0.96/0.84	      prod	w: x1 + 4
0.96/0.84	      U161	w: 0
0.96/0.84	      U11	w: x1 + x2 + 2
0.96/0.84	      z 	w: 1
0.96/0.84	      #U181	w: 0
0.96/0.84	      #prod	w: 0
0.96/0.84	      U42	w: 0
0.96/0.84	      U91	w: 0
0.96/0.84	      #U101	w: 0
0.96/0.84	      #U82	w: 0
0.96/0.84	      U71	w: x1 + x2
0.96/0.84	      #isBagKind	w: 0
0.96/0.84	      #U81	w: 0
0.96/0.84	      and	w: x1 + x2 + 1
0.96/0.84	      U131	w: 0
0.96/0.84	      #plus	w: 0
0.96/0.84	      U101	w: 0
0.96/0.84	      U111	w: 0
0.96/0.84	      #U23	w: 0
0.96/0.84	      #U53	w: 0
0.96/0.84	      #U121	w: 0
0.96/0.84	      U23	w: 6
0.96/0.84	      U63	w: 1
0.96/0.84	      #U131	w: 0
0.96/0.84	      U72	w: x1
0.96/0.84	      #U52	w: 0
0.96/0.84	      U12	w: 6
0.96/0.84	      sum	w: 2
0.96/0.84	      mult	w: 1
0.96/0.84	      isBagKind	w: x1 + 4
0.96/0.84	      isBinKind	w: x1 + 1
0.96/0.84	      #U42	w: 0
0.96/0.84	      isBin	w: x1 + 4
0.96/0.84	      #U141	w: 0
0.96/0.84	      #U12	w: 0
0.96/0.84	      U141	w: 0
0.96/0.84	      #U171	w: 1
0.96/0.84	      #U62	w: 0
0.96/0.84	      #isBinKind	w: 0
0.96/0.84	      0 	w: x1 + 1
0.96/0.84	      U191	w: 0
0.96/0.84	      #isBin	w: 0
0.96/0.84	      U171	w: 0
0.96/0.84	      union	w: x1 + x2 + 5
0.96/0.84	      U62	w: 0
0.96/0.84	      #U63	w: 0
0.96/0.84	      U151	w: 0
0.96/0.84	      #U111	w: 0
0.96/0.84	      U32	w: x1
0.96/0.84	      singl	w: x1 + 1
0.96/0.84	      U52	w: x1
0.96/0.84	      plus	w: 1
0.96/0.84	      U61	w: x1 + x2 + 3
0.96/0.84	      #U51	w: 0
0.96/0.84	      #U11	w: 0
0.96/0.84	      U31	w: x1 + x2 + 5
0.96/0.84	      #U41	w: 0
0.96/0.84	      #U191	w: x2 + x3 + 1
0.96/0.84	      empty	w: 1
0.96/0.84	      #U21	w: 0
0.96/0.84	      U81	w: 6
0.96/0.84	      U82	w: 6
0.96/0.84	      #U22	w: 0
0.96/0.84	      tt	w: 6
0.96/0.84	      #U71	w: 0
0.96/0.84	      #U151	w: 0
0.96/0.84	      isBag	w: x1 + 1
0.96/0.84	      U22	w: x1 + x2 + 7
0.96/0.84	      U51	w: x1 + x2 + 3
0.96/0.84	      #U161	w: 0
0.96/0.84	      #sum	w: x1
0.96/0.84	      U53	w: 0
0.96/0.84	      U41	w: x1 + x2
0.96/0.84	      #U31	w: 0
0.96/0.84	      #and	w: 0
0.96/0.84	      #union	w: 0
0.96/0.84	      #U91	w: 0
0.96/0.84	      #mult	w: 0
0.96/0.84	      U121	w: 0
0.96/0.84	      #U61	w: 0
0.96/0.84	      U181	w: 0
0.96/0.84	    USABLE RULES: { 7 18 30 32 }
0.96/0.84	    Removed DPs: #47 #150 #151
0.96/0.84	Number of SCCs: 4, DPs: 48
0.96/0.84	  SCC { #19 #56 #57 #59 #60 #100..103 #148 #154 }
0.96/0.84	POLO(Sum)... succeeded.
0.96/0.84	      #0 	w: 0
0.96/0.84	      #U72	w: 0
0.96/0.84	      #U32	w: 0
0.96/0.84	      #isBag	w: 0
0.96/0.84	      U21	w: 7
0.96/0.84	      1 	w: x1 + 1
0.96/0.84	      prod	w: x1 + 3
0.96/0.84	      U161	w: 0
0.96/0.84	      U11	w: x1 + x2 + 2
0.96/0.84	      z 	w: 1
0.96/0.84	      #U181	w: 0
0.96/0.84	      #prod	w: 0
0.96/0.84	      U42	w: 0
0.96/0.84	      U91	w: 0
0.96/0.84	      #U101	w: 0
0.96/0.84	      #U82	w: 0
0.96/0.84	      U71	w: x1 + x2
0.96/0.84	      #isBagKind	w: x1
0.96/0.84	      #U81	w: 0
0.96/0.84	      and	w: x1 + x2 + 1
0.96/0.84	      U131	w: 0
0.96/0.84	      #plus	w: 0
0.96/0.84	      U101	w: 0
0.96/0.84	      U111	w: 0
0.96/0.84	      #U23	w: 0
0.96/0.84	      #U53	w: 0
0.96/0.84	      #U121	w: 0
0.96/0.84	      U23	w: 6
0.96/0.84	      U63	w: 1
0.96/0.84	      #U131	w: 0
0.96/0.84	      U72	w: x1
0.96/0.84	      #U52	w: 0
0.96/0.84	      U12	w: 6
0.96/0.84	      sum	w: x1 + 2
0.96/0.84	      mult	w: x1 + x2 + 1
0.96/0.84	      isBagKind	w: x1 + 4
0.96/0.84	      isBinKind	w: x1 + 1
0.96/0.84	      #U42	w: 0
0.96/0.84	      isBin	w: x1 + 4
0.96/0.84	      #U141	w: 0
0.96/0.84	      #U12	w: 0
0.96/0.84	      U141	w: 0
0.96/0.84	      #U171	w: 1
0.96/0.84	      #U62	w: 0
0.96/0.84	      #isBinKind	w: x1
0.96/0.84	      0 	w: x1 + 1
0.96/0.84	      U191	w: 0
0.96/0.84	      #isBin	w: 0
0.96/0.84	      U171	w: 0
0.96/0.84	      union	w: x1 + x2 + 5
0.96/0.84	      U62	w: 0
0.96/0.84	      #U63	w: 0
0.96/0.84	      U151	w: 0
0.96/0.84	      #U111	w: 0
0.96/0.84	      U32	w: x1
0.96/0.84	      singl	w: x1 + 1
0.96/0.84	      U52	w: x1
0.96/0.84	      plus	w: x1 + x2 + 1
0.96/0.84	      U61	w: x1 + x2 + x3 + 3
0.96/0.84	      #U51	w: 0
0.96/0.84	      #U11	w: 0
0.96/0.84	      U31	w: x1 + x2 + 5
0.96/0.84	      #U41	w: 0
0.96/0.84	      #U191	w: 1
0.96/0.84	      empty	w: 1
0.96/0.84	      #U21	w: 0
0.96/0.84	      U81	w: 6
0.96/0.84	      U82	w: 6
0.96/0.84	      #U22	w: 0
0.96/0.84	      tt	w: 6
0.96/0.84	      #U71	w: 0
0.96/0.84	      #U151	w: 0
0.96/0.84	      isBag	w: x1 + 1
0.96/0.84	      U22	w: x1 + x2 + 7
0.96/0.84	      U51	w: x1 + x2 + 3
0.96/0.84	      #U161	w: 0
0.96/0.84	      #sum	w: 0
0.96/0.84	      U53	w: 0
0.96/0.84	      U41	w: x1 + x2
0.96/0.84	      #U31	w: 0
0.96/0.84	      #and	w: 0
0.96/0.84	      #union	w: 0
0.96/0.84	      #U91	w: 0
0.96/0.84	      #mult	w: 0
0.96/0.84	      U121	w: 0
0.96/0.84	      #U61	w: 0
0.96/0.84	      U181	w: 0
0.96/0.84	    USABLE RULES: { 7 18 30 32 }
0.96/0.84	    Removed DPs: #19 #56 #57 #59 #60 #100..103 #148 #154
0.96/0.84	Number of SCCs: 3, DPs: 37
0.96/0.84	  SCC { #34 #69 #79 #80 #91 #153 }
0.96/0.84	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
0.96/0.84	Finding a loop...  failed.
0.96/0.84	EOF