Input TRS:
    1: active(from(X)) -> mark(cons(X,from(s(X))))
    2: active(|2ndspos|(|0|(),Z)) -> mark(rnil())
    3: active(|2ndspos|(s(N),cons(X,cons(Y,Z)))) -> mark(rcons(posrecip(Y),|2ndsneg|(N,Z)))
    4: active(|2ndsneg|(|0|(),Z)) -> mark(rnil())
    5: active(|2ndsneg|(s(N),cons(X,cons(Y,Z)))) -> mark(rcons(negrecip(Y),|2ndspos|(N,Z)))
    6: active(pi(X)) -> mark(|2ndspos|(X,from(|0|())))
    7: active(plus(|0|(),Y)) -> mark(Y)
    8: active(plus(s(X),Y)) -> mark(s(plus(X,Y)))
    9: active(times(|0|(),Y)) -> mark(|0|())
    10: active(times(s(X),Y)) -> mark(plus(Y,times(X,Y)))
    11: active(square(X)) -> mark(times(X,X))
    12: active(s(X)) -> s(active(X))
    13: active(posrecip(X)) -> posrecip(active(X))
    14: active(negrecip(X)) -> negrecip(active(X))
    15: active(cons(X1,X2)) -> cons(active(X1),X2)
    16: active(rcons(X1,X2)) -> rcons(active(X1),X2)
    17: active(rcons(X1,X2)) -> rcons(X1,active(X2))
    18: active(from(X)) -> from(active(X))
    19: active(|2ndspos|(X1,X2)) -> |2ndspos|(active(X1),X2)
    20: active(|2ndspos|(X1,X2)) -> |2ndspos|(X1,active(X2))
    21: active(|2ndsneg|(X1,X2)) -> |2ndsneg|(active(X1),X2)
    22: active(|2ndsneg|(X1,X2)) -> |2ndsneg|(X1,active(X2))
    23: active(pi(X)) -> pi(active(X))
    24: active(plus(X1,X2)) -> plus(active(X1),X2)
    25: active(plus(X1,X2)) -> plus(X1,active(X2))
    26: active(times(X1,X2)) -> times(active(X1),X2)
    27: active(times(X1,X2)) -> times(X1,active(X2))
    28: active(square(X)) -> square(active(X))
    29: s(mark(X)) -> mark(s(X))
    30: posrecip(mark(X)) -> mark(posrecip(X))
    31: negrecip(mark(X)) -> mark(negrecip(X))
    32: cons(mark(X1),X2) -> mark(cons(X1,X2))
    33: rcons(mark(X1),X2) -> mark(rcons(X1,X2))
    34: rcons(X1,mark(X2)) -> mark(rcons(X1,X2))
    35: from(mark(X)) -> mark(from(X))
    36: |2ndspos|(mark(X1),X2) -> mark(|2ndspos|(X1,X2))
    37: |2ndspos|(X1,mark(X2)) -> mark(|2ndspos|(X1,X2))
    38: |2ndsneg|(mark(X1),X2) -> mark(|2ndsneg|(X1,X2))
    39: |2ndsneg|(X1,mark(X2)) -> mark(|2ndsneg|(X1,X2))
    40: pi(mark(X)) -> mark(pi(X))
    41: plus(mark(X1),X2) -> mark(plus(X1,X2))
    42: plus(X1,mark(X2)) -> mark(plus(X1,X2))
    43: times(mark(X1),X2) -> mark(times(X1,X2))
    44: times(X1,mark(X2)) -> mark(times(X1,X2))
    45: square(mark(X)) -> mark(square(X))
    46: proper(|0|()) -> ok(|0|())
    47: proper(s(X)) -> s(proper(X))
    48: proper(posrecip(X)) -> posrecip(proper(X))
    49: proper(negrecip(X)) -> negrecip(proper(X))
    50: proper(nil()) -> ok(nil())
    51: proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
    52: proper(rnil()) -> ok(rnil())
    53: proper(rcons(X1,X2)) -> rcons(proper(X1),proper(X2))
    54: proper(from(X)) -> from(proper(X))
    55: proper(|2ndspos|(X1,X2)) -> |2ndspos|(proper(X1),proper(X2))
    56: proper(|2ndsneg|(X1,X2)) -> |2ndsneg|(proper(X1),proper(X2))
    57: proper(pi(X)) -> pi(proper(X))
    58: proper(plus(X1,X2)) -> plus(proper(X1),proper(X2))
    59: proper(times(X1,X2)) -> times(proper(X1),proper(X2))
    60: proper(square(X)) -> square(proper(X))
    61: s(ok(X)) -> ok(s(X))
    62: posrecip(ok(X)) -> ok(posrecip(X))
    63: negrecip(ok(X)) -> ok(negrecip(X))
    64: cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
    65: rcons(ok(X1),ok(X2)) -> ok(rcons(X1,X2))
    66: from(ok(X)) -> ok(from(X))
    67: |2ndspos|(ok(X1),ok(X2)) -> ok(|2ndspos|(X1,X2))
    68: |2ndsneg|(ok(X1),ok(X2)) -> ok(|2ndsneg|(X1,X2))
    69: pi(ok(X)) -> ok(pi(X))
    70: plus(ok(X1),ok(X2)) -> ok(plus(X1,X2))
    71: times(ok(X1),ok(X2)) -> ok(times(X1,X2))
    72: square(ok(X)) -> ok(square(X))
    73: top(mark(X)) -> top(proper(X))
    74: top(ok(X)) -> top(active(X))
Number of strict rules: 74
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #times(mark(X1),X2) -> #times(X1,X2)
   #2: #s(mark(X)) -> #s(X)
   #3: #from(mark(X)) -> #from(X)
   #4: #from(ok(X)) -> #from(X)
   #5: #plus(X1,mark(X2)) -> #plus(X1,X2)
   #6: #plus(mark(X1),X2) -> #plus(X1,X2)
   #7: #|2ndspos|(X1,mark(X2)) -> #|2ndspos|(X1,X2)
   #8: #top(mark(X)) -> #top(proper(X))
   #9: #top(mark(X)) -> #proper(X)
   #10: #proper(s(X)) -> #s(proper(X))
   #11: #proper(s(X)) -> #proper(X)
   #12: #proper(rcons(X1,X2)) -> #rcons(proper(X1),proper(X2))
   #13: #proper(rcons(X1,X2)) -> #proper(X1)
   #14: #proper(rcons(X1,X2)) -> #proper(X2)
   #15: #times(ok(X1),ok(X2)) -> #times(X1,X2)
   #16: #proper(posrecip(X)) -> #posrecip(proper(X))
   #17: #proper(posrecip(X)) -> #proper(X)
   #18: #top(ok(X)) -> #top(active(X))
   #19: #top(ok(X)) -> #active(X)
   #20: #proper(plus(X1,X2)) -> #plus(proper(X1),proper(X2))
   #21: #proper(plus(X1,X2)) -> #proper(X1)
   #22: #proper(plus(X1,X2)) -> #proper(X2)
   #23: #s(ok(X)) -> #s(X)
   #24: #|2ndsneg|(mark(X1),X2) -> #|2ndsneg|(X1,X2)
   #25: #active(pi(X)) -> #|2ndspos|(X,from(|0|()))
   #26: #active(pi(X)) -> #from(|0|())
   #27: #proper(times(X1,X2)) -> #times(proper(X1),proper(X2))
   #28: #proper(times(X1,X2)) -> #proper(X1)
   #29: #proper(times(X1,X2)) -> #proper(X2)
   #30: #proper(|2ndspos|(X1,X2)) -> #|2ndspos|(proper(X1),proper(X2))
   #31: #proper(|2ndspos|(X1,X2)) -> #proper(X1)
   #32: #proper(|2ndspos|(X1,X2)) -> #proper(X2)
   #33: #|2ndspos|(ok(X1),ok(X2)) -> #|2ndspos|(X1,X2)
   #34: #pi(mark(X)) -> #pi(X)
   #35: #proper(cons(X1,X2)) -> #cons(proper(X1),proper(X2))
   #36: #proper(cons(X1,X2)) -> #proper(X1)
   #37: #proper(cons(X1,X2)) -> #proper(X2)
   #38: #active(posrecip(X)) -> #posrecip(active(X))
   #39: #active(posrecip(X)) -> #active(X)
   #40: #active(square(X)) -> #times(X,X)
   #41: #proper(pi(X)) -> #pi(proper(X))
   #42: #proper(pi(X)) -> #proper(X)
   #43: #active(plus(X1,X2)) -> #plus(active(X1),X2)
   #44: #active(plus(X1,X2)) -> #active(X1)
   #45: #plus(ok(X1),ok(X2)) -> #plus(X1,X2)
   #46: #active(pi(X)) -> #pi(active(X))
   #47: #active(pi(X)) -> #active(X)
   #48: #square(mark(X)) -> #square(X)
   #49: #pi(ok(X)) -> #pi(X)
   #50: #active(s(X)) -> #s(active(X))
   #51: #active(s(X)) -> #active(X)
   #52: #negrecip(mark(X)) -> #negrecip(X)
   #53: #proper(|2ndsneg|(X1,X2)) -> #|2ndsneg|(proper(X1),proper(X2))
   #54: #proper(|2ndsneg|(X1,X2)) -> #proper(X1)
   #55: #proper(|2ndsneg|(X1,X2)) -> #proper(X2)
   #56: #active(negrecip(X)) -> #negrecip(active(X))
   #57: #active(negrecip(X)) -> #active(X)
   #58: #posrecip(ok(X)) -> #posrecip(X)
   #59: #posrecip(mark(X)) -> #posrecip(X)
   #60: #proper(negrecip(X)) -> #negrecip(proper(X))
   #61: #proper(negrecip(X)) -> #proper(X)
   #62: #active(plus(X1,X2)) -> #plus(X1,active(X2))
   #63: #active(plus(X1,X2)) -> #active(X2)
   #64: #active(|2ndspos|(X1,X2)) -> #|2ndspos|(X1,active(X2))
   #65: #active(|2ndspos|(X1,X2)) -> #active(X2)
   #66: #|2ndsneg|(X1,mark(X2)) -> #|2ndsneg|(X1,X2)
   #67: #active(times(s(X),Y)) -> #plus(Y,times(X,Y))
   #68: #active(times(s(X),Y)) -> #times(X,Y)
   #69: #cons(ok(X1),ok(X2)) -> #cons(X1,X2)
   #70: #rcons(mark(X1),X2) -> #rcons(X1,X2)
   #71: #square(ok(X)) -> #square(X)
   #72: #active(|2ndsneg|(s(N),cons(X,cons(Y,Z)))) -> #rcons(negrecip(Y),|2ndspos|(N,Z))
   #73: #active(|2ndsneg|(s(N),cons(X,cons(Y,Z)))) -> #negrecip(Y)
   #74: #active(|2ndsneg|(s(N),cons(X,cons(Y,Z)))) -> #|2ndspos|(N,Z)
   #75: #times(X1,mark(X2)) -> #times(X1,X2)
   #76: #rcons(ok(X1),ok(X2)) -> #rcons(X1,X2)
   #77: #active(square(X)) -> #square(active(X))
   #78: #active(square(X)) -> #active(X)
   #79: #active(|2ndsneg|(X1,X2)) -> #|2ndsneg|(X1,active(X2))
   #80: #active(|2ndsneg|(X1,X2)) -> #active(X2)
   #81: #rcons(X1,mark(X2)) -> #rcons(X1,X2)
   #82: #active(times(X1,X2)) -> #times(X1,active(X2))
   #83: #active(times(X1,X2)) -> #active(X2)
   #84: #proper(square(X)) -> #square(proper(X))
   #85: #proper(square(X)) -> #proper(X)
   #86: #active(rcons(X1,X2)) -> #rcons(X1,active(X2))
   #87: #active(rcons(X1,X2)) -> #active(X2)
   #88: #cons(mark(X1),X2) -> #cons(X1,X2)
   #89: #active(|2ndspos|(X1,X2)) -> #|2ndspos|(active(X1),X2)
   #90: #active(|2ndspos|(X1,X2)) -> #active(X1)
   #91: #negrecip(ok(X)) -> #negrecip(X)
   #92: #active(times(X1,X2)) -> #times(active(X1),X2)
   #93: #active(times(X1,X2)) -> #active(X1)
   #94: #|2ndsneg|(ok(X1),ok(X2)) -> #|2ndsneg|(X1,X2)
   #95: #|2ndspos|(mark(X1),X2) -> #|2ndspos|(X1,X2)
   #96: #active(|2ndsneg|(X1,X2)) -> #|2ndsneg|(active(X1),X2)
   #97: #active(|2ndsneg|(X1,X2)) -> #active(X1)
   #98: #active(rcons(X1,X2)) -> #rcons(active(X1),X2)
   #99: #active(rcons(X1,X2)) -> #active(X1)
   #100: #active(|2ndspos|(s(N),cons(X,cons(Y,Z)))) -> #rcons(posrecip(Y),|2ndsneg|(N,Z))
   #101: #active(|2ndspos|(s(N),cons(X,cons(Y,Z)))) -> #posrecip(Y)
   #102: #active(|2ndspos|(s(N),cons(X,cons(Y,Z)))) -> #|2ndsneg|(N,Z)
   #103: #active(from(X)) -> #cons(X,from(s(X)))
   #104: #active(from(X)) -> #from(s(X))
   #105: #active(from(X)) -> #s(X)
   #106: #proper(from(X)) -> #from(proper(X))
   #107: #proper(from(X)) -> #proper(X)
   #108: #active(plus(s(X),Y)) -> #s(plus(X,Y))
   #109: #active(plus(s(X),Y)) -> #plus(X,Y)
   #110: #active(cons(X1,X2)) -> #cons(active(X1),X2)
   #111: #active(cons(X1,X2)) -> #active(X1)
   #112: #active(from(X)) -> #from(active(X))
   #113: #active(from(X)) -> #active(X)
Number of SCCs: 15, DPs: 66, edges: 690
	SCC { #2 #23 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
|2ndsneg|(x1,x2)	weight: 0
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: x1
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: 0
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #2 #23
Number of SCCs: 14, DPs: 64, edges: 686
	SCC { #3 #4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
|2ndsneg|(x1,x2)	weight: 0
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: x1
active(x1)	weight: 0
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #3 #4
Number of SCCs: 13, DPs: 62, edges: 682
	SCC { #48 #71 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: x1
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
|2ndsneg|(x1,x2)	weight: 0
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: 0
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #48 #71
Number of SCCs: 12, DPs: 60, edges: 678
	SCC { #52 #91 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: x1
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
|2ndsneg|(x1,x2)	weight: 0
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: 0
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #52 #91
Number of SCCs: 11, DPs: 58, edges: 674
	SCC { #34 #49 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
|2ndsneg|(x1,x2)	weight: 0
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: 0
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
  #pi(x1)	weight: x1
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #34 #49
Number of SCCs: 10, DPs: 56, edges: 670
	SCC { #58 #59 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
|2ndsneg|(x1,x2)	weight: 0
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: x1
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: 0
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #58 #59
Number of SCCs: 9, DPs: 54, edges: 666
	SCC { #8 #18 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... succeeded.
   |0|()	weight: (/ 1 8)	status: []	precedence above: s rnil mark
negrecip(x1)	weight: x1	status: x1
#cons(x1,x2)	weight: x2	status: [x2]	precedence above:
     s(x1)	weight: x1	status: [x1]	precedence above: mark
#negrecip(x1)	weight: x1	status: []	precedence above:
   top(x1)	weight: (/ 1 16)	status: []	precedence above:
  rnil()	weight: (/ 1 16)	status: []	precedence above:
|2ndspos|(x1,x2)	weight: (/ 3 16) + x2 + x1	status: [x1,x2]	precedence above: s rnil square rcons |2ndsneg| mark active cons
#plus(x1,x2)	weight: (/ 1 16) + x1	status: [x1]	precedence above:
square(x1)	weight: (/ 1 8) + x1	status: [x1]	precedence above: s mark
 #top(x1)	weight: x1	status: [x1]	precedence above:
#square(x1)	weight: x1	status: []	precedence above:
    pi(x1)	weight: (/ 1 2) + x1	status: [x1]	precedence above: |0| s rnil |2ndspos| square rcons |2ndsneg| proper ok from mark active cons
#rcons(x1,x2)	weight: x2	status: [x2]	precedence above:
 rcons(x1,x2)	weight: max{x2, x1}	status: [x1,x2]	precedence above: s rnil square mark active cons
|2ndsneg|(x1,x2)	weight: (/ 3 16) + x2 + x1	status: [x1,x2]	precedence above: s rnil |2ndspos| square rcons mark active cons
#|2ndspos|(x1,x2)	weight: (/ 1 16) + x2	status: [x2]	precedence above:
proper(x1)	weight: x1	status: x1
#|2ndsneg|(x1,x2)	weight: (/ 1 16) + x1	status: [x1]	precedence above:
    ok(x1)	weight: x1	status: x1
#times(x1,x2)	weight: (/ 1 16) + x2	status: [x2]	precedence above:
#posrecip(x1)	weight: x1	status: []	precedence above:
  from(x1)	weight: (/ 1 8) + x1	status: [x1]	precedence above: s mark cons
 times(x1,x2)	weight: max{x2, (/ 1 16) + x1}	status: [x2,x1]	precedence above: |0| s rnil square proper mark plus active
   #s(x1)	weight: x1	status: []	precedence above:
   nil()	weight: (/ 1 16)	status: []	precedence above:
  mark(x1)	weight: x1	status: [x1]	precedence above: s
#proper(x1)	weight: x1	status: []	precedence above:
  plus(x1,x2)	weight: max{x2, x1}	status: [x2,x1]	precedence above: s mark
#from(x1)	weight: x1	status: []	precedence above:
active(x1)	weight: x1	status: x1
  cons(x1,x2)	weight: max{x2, (/ 1 16) + x1}	status: [x1]	precedence above: s mark
#active(x1)	weight: x1	status: []	precedence above:
  #pi(x1)	weight: (/ 1 16)	status: []	precedence above:
posrecip(x1)	weight: (/ 1 8) + x1	status: [x1]	precedence above: s rnil proper mark active cons
    Usable rules: { 1..72 }
    Removed DPs: #8
Number of SCCs: 9, DPs: 53, edges: 663
	SCC { #18 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: x1
#square(x1)	weight: 0
    pi(x1)	weight: x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x2
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: (/ 1 2)
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: x1
 times(x1,x2)	weight: x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { 1..45 61..72 }
    Removed DPs: #18
Number of SCCs: 8, DPs: 52, edges: 662
	SCC { #69 #88 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: x2
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: x1
#square(x1)	weight: 0
    pi(x1)	weight: x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x2
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: (/ 1 2)
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: x1
 times(x1,x2)	weight: x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #69
Number of SCCs: 9, DPs: 51, edges: 659
	SCC { #88 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: x1
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #88
Number of SCCs: 8, DPs: 50, edges: 658
	SCC { #5 #6 #45 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: x2
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #5 #45
Number of SCCs: 9, DPs: 48, edges: 650
	SCC { #6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: x1
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #6
Number of SCCs: 8, DPs: 47, edges: 649
	SCC { #70 #76 #81 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: x2
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #76 #81
Number of SCCs: 9, DPs: 45, edges: 641
	SCC { #70 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: x1
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #70
Number of SCCs: 8, DPs: 44, edges: 640
	SCC { #24 #66 #94 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: x2
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #66 #94
Number of SCCs: 9, DPs: 42, edges: 632
	SCC { #24 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: x1
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #24
Number of SCCs: 8, DPs: 41, edges: 631
	SCC { #7 #33 #95 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: x2
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #7 #33
Number of SCCs: 9, DPs: 39, edges: 623
	SCC { #95 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: x1
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #95
Number of SCCs: 8, DPs: 38, edges: 622
	SCC { #1 #15 #75 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: x2
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #15 #75
Number of SCCs: 9, DPs: 36, edges: 614
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1
|2ndsneg|(x1,x2)	weight: x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: x1
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 8, DPs: 35, edges: 613
	SCC { #39 #44 #47 #51 #57 #63 #65 #78 #80 #83 #87 #90 #93 #97 #99 #111 #113 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 4) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 4) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: x1
 times(x1,x2)	weight: x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #47
Number of SCCs: 9, DPs: 34, edges: 580
	SCC { #39 #44 #51 #57 #63 #65 #78 #80 #83 #87 #90 #93 #97 #99 #111 #113 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 4) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 4) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: x1
 times(x1,x2)	weight: (/ 1 4) + x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #83 #93
Number of SCCs: 9, DPs: 32, edges: 520
	SCC { #39 #44 #51 #57 #63 #65 #78 #80 #87 #90 #97 #99 #111 #113 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 4) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 4) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: x1
 times(x1,x2)	weight: (/ 1 4) + x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: (/ 1 4) + x1
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #111
Number of SCCs: 9, DPs: 31, edges: 493
	SCC { #39 #44 #51 #57 #63 #65 #78 #80 #87 #90 #97 #99 #113 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 4) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 4) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 4) + x1
 times(x1,x2)	weight: (/ 1 4) + x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: (/ 1 4) + x1 + x2
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #113
Number of SCCs: 9, DPs: 30, edges: 468
	SCC { #39 #44 #51 #57 #63 #65 #78 #80 #87 #90 #97 #99 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 4) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 4) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 4) + x1
 times(x1,x2)	weight: (/ 1 4) + x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: (/ 1 4) + x1 + x2
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 4) + x1
    Usable rules: { }
    Removed DPs: #39
Number of SCCs: 9, DPs: 29, edges: 445
	SCC { #44 #51 #57 #63 #65 #78 #80 #87 #90 #97 #99 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: (/ 1 8) + x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: (/ 1 8) + x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 1 8) + x1
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 8) + x1
    Usable rules: { }
    Removed DPs: #65 #90
Number of SCCs: 9, DPs: 27, edges: 405
	SCC { #44 #51 #57 #63 #78 #80 #87 #97 #99 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
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|2ndspos|(x1,x2)	weight: (/ 1 8) + x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: (/ 1 8) + x1 + x2
|2ndsneg|(x1,x2)	weight: x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: (/ 1 8) + x1 + x2
   #s(x1)	weight: 0
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  mark(x1)	weight: 0
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#from(x1)	weight: 0
active(x1)	weight: (/ 1 8) + x1
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 8) + x1
    Usable rules: { }
    Removed DPs: #87 #99
Number of SCCs: 9, DPs: 25, edges: 373
	SCC { #44 #51 #57 #63 #78 #80 #97 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: (/ 1 8) + x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: (/ 1 8) + x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: (/ 1 8) + x2
|2ndsneg|(x1,x2)	weight: x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: (/ 1 8) + x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: 0
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#from(x1)	weight: 0
active(x1)	weight: (/ 1 8) + x1
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 8) + x1
    Usable rules: { }
    Removed DPs: #57
Number of SCCs: 9, DPs: 24, edges: 360
	SCC { #44 #51 #63 #78 #80 #97 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: (/ 1 8) + x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: (/ 1 8) + x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: (/ 1 8) + x2
|2ndsneg|(x1,x2)	weight: (/ 1 8) + x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: (/ 1 8) + x1 + x2
   #s(x1)	weight: 0
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active(x1)	weight: (/ 1 8) + x1
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#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 8) + x1
    Usable rules: { }
    Removed DPs: #80 #97
Number of SCCs: 9, DPs: 22, edges: 340
	SCC { #44 #51 #63 #78 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: (/ 1 4) + x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: (/ 1 4) + x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 4) + x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 4)
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: (/ 1 4) + x2
|2ndsneg|(x1,x2)	weight: (/ 1 4) + x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 4) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 4) + x1
 times(x1,x2)	weight: (/ 1 4) + x1 + x2
   #s(x1)	weight: 0
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active(x1)	weight: (/ 1 4)
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#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 4) + x1
    Usable rules: { }
    Removed DPs: #78
Number of SCCs: 9, DPs: 21, edges: 333
	SCC { #44 #51 #63 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: (/ 1 8) + x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 8) + x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 8) + x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8)
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x2
|2ndsneg|(x1,x2)	weight: (/ 1 8) + x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: 0
  plus(x1,x2)	weight: (/ 1 8) + x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 3 8)
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
#active(x1)	weight: x1
  #pi(x1)	weight: 0
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #44 #51 #63
Number of SCCs: 8, DPs: 18, edges: 324
	SCC { #11 #13 #14 #17 #21 #22 #28 #29 #31 #32 #36 #37 #42 #54 #55 #61 #85 #107 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 8) + x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 8) + x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: (/ 1 8) + x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: x1
  plus(x1,x2)	weight: (/ 1 8) + x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 3 8)
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #11 #21 #22 #36 #37 #42 #54 #55 #85 #107
Number of SCCs: 9, DPs: 8, edges: 64
	SCC { #13 #14 #17 #28 #29 #31 #32 #61 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 8) + x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 8) + x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: (/ 1 8) + x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: x1
  plus(x1,x2)	weight: (/ 1 8) + x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 3 8)
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 8) + x1
    Usable rules: { }
    Removed DPs: #17
Number of SCCs: 9, DPs: 7, edges: 49
	SCC { #13 #14 #28 #29 #31 #32 #61 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 8) + x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 8) + x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
|2ndsneg|(x1,x2)	weight: (/ 1 8) + x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: (/ 1 8) + x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: x1
  plus(x1,x2)	weight: (/ 1 8) + x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 3 8)
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 8) + x1
    Usable rules: { }
    Removed DPs: #28 #29
Number of SCCs: 9, DPs: 5, edges: 25
	SCC { #13 #14 #31 #32 #61 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
negrecip(x1)	weight: (/ 1 8) + x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 8) + x1
#negrecip(x1)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
|2ndspos|(x1,x2)	weight: (/ 1 8) + x1 + x2
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 8) + x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 8) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: (/ 1 8) + x1 + x2
|2ndsneg|(x1,x2)	weight: (/ 1 8) + x1 + x2
#|2ndspos|(x1,x2)	weight: 0
proper(x1)	weight: 0
#|2ndsneg|(x1,x2)	weight: 0
    ok(x1)	weight: (/ 1 8)
#times(x1,x2)	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 8) + x1
 times(x1,x2)	weight: (/ 1 8) + x1 + x2
   #s(x1)	weight: 0
   nil()	weight: 0
  mark(x1)	weight: x1
#proper(x1)	weight: x1
  plus(x1,x2)	weight: x1 + x2
#from(x1)	weight: 0
active(x1)	weight: (/ 3 8)
  cons(x1,x2)	weight: (/ 1 8) + x1 + x2
#active(x1)	weight: 0
  #pi(x1)	weight: 0
posrecip(x1)	weight: (/ 1 8) + x1
    Usable rules: { }
    Removed DPs: #13 #14 #31 #32 #61
Number of SCCs: 8, DPs: 0, edges: 0
YES