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.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	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
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(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
#2ndsneg(x1,x2)	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.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	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
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(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
#2ndsneg(x1,x2)	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.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	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
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(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
#2ndsneg(x1,x2)	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.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: x1
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	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
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(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
#2ndsneg(x1,x2)	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.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	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
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(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
#2ndsneg(x1,x2)	weight: 0
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.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	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
proper(x1)	weight: 0
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(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
#2ndsneg(x1,x2)	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.
negrecip(x1)	weight: (/ 1 4) + x1	status: [x1]	precedence above: s proper nil mark posrecip
#cons(x1,x2)	weight: (/ 1 8) + x2 + x1	status: [x1,x2]	precedence above:
     s(x1)	weight: x1	status: [x1]	precedence above: proper nil mark posrecip
#negrecip(x1)	weight: x1	status: []	precedence above:
2ndspos(x1,x2)	weight: (/ 1 2) + x2 + x1	status: [x1,x2]	precedence above: negrecip s rcons proper nil mark 2ndsneg posrecip
   top(x1)	weight: x1	status: []	precedence above:
  rnil()	weight: (/ 1 4)	status: []	precedence above:
#plus(x1,x2)	weight: (/ 1 8) + x2 + x1	status: [x1,x2]	precedence above:
square(x1)	weight: (/ 1 2) + x1	status: [x1]	precedence above: s rnil proper ok 0 times nil mark plus posrecip
 #top(x1)	weight: x1	status: [x1]	precedence above:
#square(x1)	weight: x1	status: []	precedence above:
    pi(x1)	weight: (/ 5 4) + x1	status: [x1]	precedence above: negrecip s 2ndspos rnil rcons proper ok 0 from nil mark 2ndsneg plus cons posrecip
#rcons(x1,x2)	weight: x1	status: [x1]	precedence above:
 rcons(x1,x2)	weight: max{x2, (/ 1 8) + x1}	status: [x2,x1]	precedence above: s proper nil mark posrecip
proper(x1)	weight: x1	status: x1
    ok(x1)	weight: x1	status: x1
#times(x1,x2)	weight: x2	status: [x2]	precedence above:
     0()	weight: (/ 3 8)	status: []	precedence above: rnil
#posrecip(x1)	weight: x1	status: []	precedence above:
  from(x1)	weight: (/ 1 4) + x1	status: [x1]	precedence above: s proper ok nil mark cons posrecip
 times(x1,x2)	weight: max{(/ 1 4) + x2, (/ 3 8) + x1}	status: [x2,x1]	precedence above: s rnil proper ok 0 nil mark plus posrecip
   #s(x1)	weight: (/ 1 8)	status: []	precedence above:
   nil()	weight: (/ 1 8)	status: []	precedence above:
  mark(x1)	weight: x1	status: [x1]	precedence above: s proper nil posrecip
2ndsneg(x1,x2)	weight: (/ 1 2) + x2 + x1	status: [x1,x2]	precedence above: negrecip s 2ndspos rcons proper nil mark posrecip
#proper(x1)	weight: x1	status: []	precedence above:
  plus(x1,x2)	weight: max{x2, (/ 1 8) + x1}	status: [x1,x2]	precedence above: s proper nil mark posrecip
#2ndspos(x1,x2)	weight: x1	status: [x1]	precedence above:
#from(x1)	weight: (/ 1 8)	status: []	precedence above:
active(x1)	weight: x1	status: x1
  cons(x1,x2)	weight: max{x2, (/ 1 8) + x1}	status: [x1]	precedence above: s proper nil mark posrecip
#active(x1)	weight: x1	status: []	precedence above:
  #pi(x1)	weight: x1	status: []	precedence above:
#2ndsneg(x1,x2)	weight: (/ 1 8) + x2 + x1	status: [x1,x2]	precedence above:
posrecip(x1)	weight: x1	status: [x1]	precedence above: s proper nil mark
    Usable rules: { 1..72 }
    Removed DPs: #8
Number of SCCs: 9, DPs: 53, edges: 663
	SCC { #18 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: x2
   top(x1)	weight: 0
  rnil()	weight: 0
#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
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: x2
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	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.
negrecip(x1)	weight: x1
#cons(x1,x2)	weight: x2
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: x2
   top(x1)	weight: 0
  rnil()	weight: 0
#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
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: x2
#proper(x1)	weight: 0
  plus(x1,x2)	weight: x1
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	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.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: x1
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #88
Number of SCCs: 8, DPs: 50, edges: 658
	SCC { #5 #6 #45 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: x1
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #6 #45
Number of SCCs: 9, DPs: 48, edges: 650
	SCC { #5 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: x2
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #5
Number of SCCs: 8, DPs: 47, edges: 649
	SCC { #70 #76 #81 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: x1
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #70 #76
Number of SCCs: 9, DPs: 45, edges: 641
	SCC { #81 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: x2
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #81
Number of SCCs: 8, DPs: 44, edges: 640
	SCC { #24 #66 #94 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: x1
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #24 #94
Number of SCCs: 9, DPs: 42, edges: 632
	SCC { #66 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: x2
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #66
Number of SCCs: 8, DPs: 41, edges: 631
	SCC { #7 #33 #95 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(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
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #33 #95
Number of SCCs: 9, DPs: 39, edges: 623
	SCC { #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: 0
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: x2
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #7
Number of SCCs: 8, DPs: 38, edges: 622
	SCC { #1 #15 #75 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: x2
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    Usable rules: { }
    Removed DPs: #15 #75
Number of SCCs: 9, DPs: 36, edges: 614
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x1 + x2
proper(x1)	weight: (/ 1 2)
    ok(x1)	weight: (/ 1 2) + x1
#times(x1,x2)	weight: x1
     0()	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: (/ 1 4) + x1
2ndsneg(x1,x2)	weight: 0
#proper(x1)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 4) + x1
  cons(x1,x2)	weight: x1
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: x1
    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.
negrecip(x1)	weight: (/ 1 4) + x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 4) + x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: (/ 1 4) + x1 + x2
   top(x1)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 4) + x1
 #top(x1)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 4) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: (/ 1 4) + x1 + x2
proper(x1)	weight: (/ 1 4)
    ok(x1)	weight: (/ 1 4) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: (/ 1 4) + x1 + x2
#proper(x1)	weight: 0
  plus(x1,x2)	weight: (/ 1 4) + x1 + x2
#2ndspos(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 3 4)
  cons(x1,x2)	weight: (/ 1 4) + x1
#active(x1)	weight: x1
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: (/ 1 4) + x1
    Usable rules: { }
    Removed DPs: #39 #44 #47 #51 #57 #63 #65 #78 #80 #83 #87 #90 #93 #97 #99 #111 #113
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.
negrecip(x1)	weight: (/ 1 8) + x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 8) + x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: (/ 1 8) + x1 + x2
   top(x1)	weight: 0
  rnil()	weight: 0
#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
proper(x1)	weight: (/ 1 8)
    ok(x1)	weight: (/ 1 8) + x1
#times(x1,x2)	weight: 0
     0()	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
2ndsneg(x1,x2)	weight: (/ 1 8) + x1 + x2
#proper(x1)	weight: x1
  plus(x1,x2)	weight: (/ 1 8) + x1 + x2
#2ndspos(x1,x2)	weight: 0
#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
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: (/ 1 8) + x1
    Usable rules: { }
    Removed DPs: #11 #13 #14 #17 #21 #22 #28 #29 #31 #32 #36 #37 #42 #54 #55 #61 #85 #107
Number of SCCs: 7, DPs: 0, edges: 0
YES