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,Z))) -> mark(2ndspos(s(N),cons2(X,Z)))
    4: active(2ndspos(s(N),cons2(X,cons(Y,Z)))) -> mark(rcons(posrecip(Y),2ndsneg(N,Z)))
    5: active(2ndsneg(0(),Z)) -> mark(rnil())
    6: active(2ndsneg(s(N),cons(X,Z))) -> mark(2ndsneg(s(N),cons2(X,Z)))
    7: active(2ndsneg(s(N),cons2(X,cons(Y,Z)))) -> mark(rcons(negrecip(Y),2ndspos(N,Z)))
    8: active(pi(X)) -> mark(2ndspos(X,from(0())))
    9: active(plus(0(),Y)) -> mark(Y)
    10: active(plus(s(X),Y)) -> mark(s(plus(X,Y)))
    11: active(times(0(),Y)) -> mark(0())
    12: active(times(s(X),Y)) -> mark(plus(Y,times(X,Y)))
    13: active(square(X)) -> mark(times(X,X))
    14: mark(from(X)) -> active(from(mark(X)))
    15: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    16: mark(s(X)) -> active(s(mark(X)))
    17: mark(2ndspos(X1,X2)) -> active(2ndspos(mark(X1),mark(X2)))
    18: mark(0()) -> active(0())
    19: mark(rnil()) -> active(rnil())
    20: mark(cons2(X1,X2)) -> active(cons2(X1,mark(X2)))
    21: mark(rcons(X1,X2)) -> active(rcons(mark(X1),mark(X2)))
    22: mark(posrecip(X)) -> active(posrecip(mark(X)))
    23: mark(2ndsneg(X1,X2)) -> active(2ndsneg(mark(X1),mark(X2)))
    24: mark(negrecip(X)) -> active(negrecip(mark(X)))
    25: mark(pi(X)) -> active(pi(mark(X)))
    26: mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2)))
    27: mark(times(X1,X2)) -> active(times(mark(X1),mark(X2)))
    28: mark(square(X)) -> active(square(mark(X)))
    29: from(mark(X)) -> from(X)
    30: from(active(X)) -> from(X)
    31: cons(mark(X1),X2) -> cons(X1,X2)
    32: cons(X1,mark(X2)) -> cons(X1,X2)
    33: cons(active(X1),X2) -> cons(X1,X2)
    34: cons(X1,active(X2)) -> cons(X1,X2)
    35: s(mark(X)) -> s(X)
    36: s(active(X)) -> s(X)
    37: 2ndspos(mark(X1),X2) -> 2ndspos(X1,X2)
    38: 2ndspos(X1,mark(X2)) -> 2ndspos(X1,X2)
    39: 2ndspos(active(X1),X2) -> 2ndspos(X1,X2)
    40: 2ndspos(X1,active(X2)) -> 2ndspos(X1,X2)
    41: cons2(mark(X1),X2) -> cons2(X1,X2)
    42: cons2(X1,mark(X2)) -> cons2(X1,X2)
    43: cons2(active(X1),X2) -> cons2(X1,X2)
    44: cons2(X1,active(X2)) -> cons2(X1,X2)
    45: rcons(mark(X1),X2) -> rcons(X1,X2)
    46: rcons(X1,mark(X2)) -> rcons(X1,X2)
    47: rcons(active(X1),X2) -> rcons(X1,X2)
    48: rcons(X1,active(X2)) -> rcons(X1,X2)
    49: posrecip(mark(X)) -> posrecip(X)
    50: posrecip(active(X)) -> posrecip(X)
    51: 2ndsneg(mark(X1),X2) -> 2ndsneg(X1,X2)
    52: 2ndsneg(X1,mark(X2)) -> 2ndsneg(X1,X2)
    53: 2ndsneg(active(X1),X2) -> 2ndsneg(X1,X2)
    54: 2ndsneg(X1,active(X2)) -> 2ndsneg(X1,X2)
    55: negrecip(mark(X)) -> negrecip(X)
    56: negrecip(active(X)) -> negrecip(X)
    57: pi(mark(X)) -> pi(X)
    58: pi(active(X)) -> pi(X)
    59: plus(mark(X1),X2) -> plus(X1,X2)
    60: plus(X1,mark(X2)) -> plus(X1,X2)
    61: plus(active(X1),X2) -> plus(X1,X2)
    62: plus(X1,active(X2)) -> plus(X1,X2)
    63: times(mark(X1),X2) -> times(X1,X2)
    64: times(X1,mark(X2)) -> times(X1,X2)
    65: times(active(X1),X2) -> times(X1,X2)
    66: times(X1,active(X2)) -> times(X1,X2)
    67: square(mark(X)) -> square(X)
    68: square(active(X)) -> square(X)
Number of strict rules: 68
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #active(2ndspos(0(),Z)) -> #mark(rnil())
   #2: #cons2(active(X1),X2) -> #cons2(X1,X2)
   #3: #from(mark(X)) -> #from(X)
   #4: #s(mark(X)) -> #s(X)
   #5: #times(X1,active(X2)) -> #times(X1,X2)
   #6: #rcons(X1,mark(X2)) -> #rcons(X1,X2)
   #7: #cons2(X1,mark(X2)) -> #cons2(X1,X2)
   #8: #cons2(mark(X1),X2) -> #cons2(X1,X2)
   #9: #2ndspos(mark(X1),X2) -> #2ndspos(X1,X2)
   #10: #rcons(active(X1),X2) -> #rcons(X1,X2)
   #11: #2ndsneg(active(X1),X2) -> #2ndsneg(X1,X2)
   #12: #rcons(X1,active(X2)) -> #rcons(X1,X2)
   #13: #pi(active(X)) -> #pi(X)
   #14: #plus(active(X1),X2) -> #plus(X1,X2)
   #15: #2ndspos(X1,mark(X2)) -> #2ndspos(X1,X2)
   #16: #active(2ndsneg(s(N),cons(X,Z))) -> #mark(2ndsneg(s(N),cons2(X,Z)))
   #17: #active(2ndsneg(s(N),cons(X,Z))) -> #2ndsneg(s(N),cons2(X,Z))
   #18: #active(2ndsneg(s(N),cons(X,Z))) -> #cons2(X,Z)
   #19: #plus(mark(X1),X2) -> #plus(X1,X2)
   #20: #negrecip(mark(X)) -> #negrecip(X)
   #21: #square(mark(X)) -> #square(X)
   #22: #2ndspos(X1,active(X2)) -> #2ndspos(X1,X2)
   #23: #2ndsneg(mark(X1),X2) -> #2ndsneg(X1,X2)
   #24: #active(square(X)) -> #mark(times(X,X))
   #25: #active(square(X)) -> #times(X,X)
   #26: #active(plus(0(),Y)) -> #mark(Y)
   #27: #active(times(0(),Y)) -> #mark(0())
   #28: #pi(mark(X)) -> #pi(X)
   #29: #mark(negrecip(X)) -> #active(negrecip(mark(X)))
   #30: #mark(negrecip(X)) -> #negrecip(mark(X))
   #31: #mark(negrecip(X)) -> #mark(X)
   #32: #mark(2ndsneg(X1,X2)) -> #active(2ndsneg(mark(X1),mark(X2)))
   #33: #mark(2ndsneg(X1,X2)) -> #2ndsneg(mark(X1),mark(X2))
   #34: #mark(2ndsneg(X1,X2)) -> #mark(X1)
   #35: #mark(2ndsneg(X1,X2)) -> #mark(X2)
   #36: #rcons(mark(X1),X2) -> #rcons(X1,X2)
   #37: #active(times(s(X),Y)) -> #mark(plus(Y,times(X,Y)))
   #38: #active(times(s(X),Y)) -> #plus(Y,times(X,Y))
   #39: #active(times(s(X),Y)) -> #times(X,Y)
   #40: #cons(mark(X1),X2) -> #cons(X1,X2)
   #41: #negrecip(active(X)) -> #negrecip(X)
   #42: #mark(from(X)) -> #active(from(mark(X)))
   #43: #mark(from(X)) -> #from(mark(X))
   #44: #mark(from(X)) -> #mark(X)
   #45: #plus(X1,active(X2)) -> #plus(X1,X2)
   #46: #from(active(X)) -> #from(X)
   #47: #2ndsneg(X1,mark(X2)) -> #2ndsneg(X1,X2)
   #48: #posrecip(mark(X)) -> #posrecip(X)
   #49: #mark(pi(X)) -> #active(pi(mark(X)))
   #50: #mark(pi(X)) -> #pi(mark(X))
   #51: #mark(pi(X)) -> #mark(X)
   #52: #mark(cons2(X1,X2)) -> #active(cons2(X1,mark(X2)))
   #53: #mark(cons2(X1,X2)) -> #cons2(X1,mark(X2))
   #54: #mark(cons2(X1,X2)) -> #mark(X2)
   #55: #active(2ndsneg(s(N),cons2(X,cons(Y,Z)))) -> #mark(rcons(negrecip(Y),2ndspos(N,Z)))
   #56: #active(2ndsneg(s(N),cons2(X,cons(Y,Z)))) -> #rcons(negrecip(Y),2ndspos(N,Z))
   #57: #active(2ndsneg(s(N),cons2(X,cons(Y,Z)))) -> #negrecip(Y)
   #58: #active(2ndsneg(s(N),cons2(X,cons(Y,Z)))) -> #2ndspos(N,Z)
   #59: #2ndspos(active(X1),X2) -> #2ndspos(X1,X2)
   #60: #active(plus(s(X),Y)) -> #mark(s(plus(X,Y)))
   #61: #active(plus(s(X),Y)) -> #s(plus(X,Y))
   #62: #active(plus(s(X),Y)) -> #plus(X,Y)
   #63: #times(X1,mark(X2)) -> #times(X1,X2)
   #64: #cons(active(X1),X2) -> #cons(X1,X2)
   #65: #active(2ndsneg(0(),Z)) -> #mark(rnil())
   #66: #cons2(X1,active(X2)) -> #cons2(X1,X2)
   #67: #times(active(X1),X2) -> #times(X1,X2)
   #68: #mark(square(X)) -> #active(square(mark(X)))
   #69: #mark(square(X)) -> #square(mark(X))
   #70: #mark(square(X)) -> #mark(X)
   #71: #mark(posrecip(X)) -> #active(posrecip(mark(X)))
   #72: #mark(posrecip(X)) -> #posrecip(mark(X))
   #73: #mark(posrecip(X)) -> #mark(X)
   #74: #cons(X1,active(X2)) -> #cons(X1,X2)
   #75: #mark(times(X1,X2)) -> #active(times(mark(X1),mark(X2)))
   #76: #mark(times(X1,X2)) -> #times(mark(X1),mark(X2))
   #77: #mark(times(X1,X2)) -> #mark(X1)
   #78: #mark(times(X1,X2)) -> #mark(X2)
   #79: #plus(X1,mark(X2)) -> #plus(X1,X2)
   #80: #mark(2ndspos(X1,X2)) -> #active(2ndspos(mark(X1),mark(X2)))
   #81: #mark(2ndspos(X1,X2)) -> #2ndspos(mark(X1),mark(X2))
   #82: #mark(2ndspos(X1,X2)) -> #mark(X1)
   #83: #mark(2ndspos(X1,X2)) -> #mark(X2)
   #84: #cons(X1,mark(X2)) -> #cons(X1,X2)
   #85: #mark(rnil()) -> #active(rnil())
   #86: #times(mark(X1),X2) -> #times(X1,X2)
   #87: #mark(plus(X1,X2)) -> #active(plus(mark(X1),mark(X2)))
   #88: #mark(plus(X1,X2)) -> #plus(mark(X1),mark(X2))
   #89: #mark(plus(X1,X2)) -> #mark(X1)
   #90: #mark(plus(X1,X2)) -> #mark(X2)
   #91: #square(active(X)) -> #square(X)
   #92: #s(active(X)) -> #s(X)
   #93: #mark(rcons(X1,X2)) -> #active(rcons(mark(X1),mark(X2)))
   #94: #mark(rcons(X1,X2)) -> #rcons(mark(X1),mark(X2))
   #95: #mark(rcons(X1,X2)) -> #mark(X1)
   #96: #mark(rcons(X1,X2)) -> #mark(X2)
   #97: #mark(s(X)) -> #active(s(mark(X)))
   #98: #mark(s(X)) -> #s(mark(X))
   #99: #mark(s(X)) -> #mark(X)
   #100: #active(2ndspos(s(N),cons(X,Z))) -> #mark(2ndspos(s(N),cons2(X,Z)))
   #101: #active(2ndspos(s(N),cons(X,Z))) -> #2ndspos(s(N),cons2(X,Z))
   #102: #active(2ndspos(s(N),cons(X,Z))) -> #cons2(X,Z)
   #103: #active(from(X)) -> #mark(cons(X,from(s(X))))
   #104: #active(from(X)) -> #cons(X,from(s(X)))
   #105: #active(from(X)) -> #from(s(X))
   #106: #active(from(X)) -> #s(X)
   #107: #2ndsneg(X1,active(X2)) -> #2ndsneg(X1,X2)
   #108: #active(pi(X)) -> #mark(2ndspos(X,from(0())))
   #109: #active(pi(X)) -> #2ndspos(X,from(0()))
   #110: #active(pi(X)) -> #from(0())
   #111: #mark(cons(X1,X2)) -> #active(cons(mark(X1),X2))
   #112: #mark(cons(X1,X2)) -> #cons(mark(X1),X2)
   #113: #mark(cons(X1,X2)) -> #mark(X1)
   #114: #active(2ndspos(s(N),cons2(X,cons(Y,Z)))) -> #mark(rcons(posrecip(Y),2ndsneg(N,Z)))
   #115: #active(2ndspos(s(N),cons2(X,cons(Y,Z)))) -> #rcons(posrecip(Y),2ndsneg(N,Z))
   #116: #active(2ndspos(s(N),cons2(X,cons(Y,Z)))) -> #posrecip(Y)
   #117: #active(2ndspos(s(N),cons2(X,cons(Y,Z)))) -> #2ndsneg(N,Z)
   #118: #posrecip(active(X)) -> #posrecip(X)
   #119: #mark(0()) -> #active(0())
Number of SCCs: 14, DPs: 75, edges: 642
	SCC { #20 #41 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #20 #41
Number of SCCs: 13, DPs: 73, edges: 638
	SCC { #3 #46 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: x1
active(x1)	weight: (/ 1 2) + x1
  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 #46
Number of SCCs: 12, DPs: 71, edges: 634
	SCC { #4 #92 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: x1
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #4 #92
Number of SCCs: 11, DPs: 69, edges: 630
	SCC { #48 #118 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: x1
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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 #118
Number of SCCs: 10, DPs: 67, edges: 626
	SCC { #21 #91 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: x1
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #21 #91
Number of SCCs: 9, DPs: 65, edges: 622
	SCC { #13 #28 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #13 #28
Number of SCCs: 8, DPs: 63, edges: 618
	SCC { #2 #7 #8 #66 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: x2
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #7 #66
Number of SCCs: 8, DPs: 61, edges: 606
	SCC { #2 #8 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: x1
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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 #8
Number of SCCs: 7, DPs: 59, edges: 602
	SCC { #5 #63 #67 #86 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: x2
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #5 #63
Number of SCCs: 8, DPs: 57, edges: 590
	SCC { #67 #86 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: x1
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #67 #86
Number of SCCs: 7, DPs: 55, edges: 586
	SCC { #40 #64 #74 #84 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: x2
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #74 #84
Number of SCCs: 8, DPs: 53, edges: 574
	SCC { #40 #64 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: 0
#cons(x1,x2)	weight: x1
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: 0
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #40 #64
Number of SCCs: 7, DPs: 51, edges: 570
	SCC { #6 #10 #12 #36 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: x2
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #6 #12
Number of SCCs: 8, DPs: 49, edges: 558
	SCC { #10 #36 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: x1
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #10 #36
Number of SCCs: 7, DPs: 47, edges: 554
	SCC { #14 #19 #45 #79 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: x2
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #45 #79
Number of SCCs: 8, DPs: 45, edges: 542
	SCC { #14 #19 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: x1
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #14 #19
Number of SCCs: 7, DPs: 43, edges: 538
	SCC { #9 #15 #22 #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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: x1
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #9 #59
Number of SCCs: 8, DPs: 41, edges: 526
	SCC { #15 #22 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: x2
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  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: #15 #22
Number of SCCs: 7, DPs: 39, edges: 522
	SCC { #11 #23 #47 #107 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
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#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: x1
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #11 #23
Number of SCCs: 8, DPs: 37, edges: 510
	SCC { #47 #107 }
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
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: 0
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: 0
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: 0
#times(x1,x2)	weight: 0
#mark(x1)	weight: 0
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: 0
 times(x1,x2)	weight: 0
   #s(x1)	weight: 0
  mark(x1)	weight: (/ 1 2) + x1
2ndsneg(x1,x2)	weight: 0
  plus(x1,x2)	weight: 0
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: 0
#from(x1)	weight: 0
active(x1)	weight: (/ 1 2) + x1
  cons(x1,x2)	weight: 0
#active(x1)	weight: 0
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: x2
posrecip(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #47 #107
Number of SCCs: 7, DPs: 35, edges: 506
	SCC { #16 #24 #26 #31 #32 #34 #35 #37 #42 #44 #49 #51 #54 #55 #60 #68 #70 #73 #75 #77 #78 #80 #82 #83 #87 #89 #90 #95 #96 #99 #100 #103 #108 #113 #114 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded.
negrecip(x1)	weight: 16203 + x1
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: max{(/ 63687 4) + x2, 16203 + x1}
  rnil()	weight: 15922
#plus(x1,x2)	weight: 0
square(x1)	weight: 20538 + x1
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 32407 2) + x1
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: max{x2, (/ 1 4) + x1}
#times(x1,x2)	weight: 0
#mark(x1)	weight: x1
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 563 2) + x1
 times(x1,x2)	weight: max{(/ 41075 2) + x2, (/ 82151 4) + x1}
   #s(x1)	weight: 0
  mark(x1)	weight: x1
2ndsneg(x1,x2)	weight: max{(/ 63687 4) + x2, 16203 + x1}
  plus(x1,x2)	weight: max{x2, (/ 82149 4) + x1}
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: max{x2, (/ 563 2) + x1}
#from(x1)	weight: 0
active(x1)	weight: x1
  cons(x1,x2)	weight: max{x2, (/ 563 2) + x1}
#active(x1)	weight: x1
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: (/ 63685 4) + x1
    Usable rules: { 1..68 }
    Removed DPs: #24 #31 #34 #35 #44 #51 #70 #73 #77 #78 #82 #83 #89 #95 #108 #113
Number of SCCs: 8, DPs: 15, edges: 54
	SCC { #16 #26 #32 #37 #54 #55 #60 #75 #80 #87 #90 #96 #99 #100 #114 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: (/ 1 4)
#cons(x1,x2)	weight: 0
     s(x1)	weight: x1
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: (/ 1 4)
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 4)
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 4)
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: x2
#times(x1,x2)	weight: 0
#mark(x1)	weight: x1
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 1 4)
 times(x1,x2)	weight: (/ 1 4)
   #s(x1)	weight: 0
  mark(x1)	weight: x1
2ndsneg(x1,x2)	weight: (/ 1 4)
  plus(x1,x2)	weight: x2
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: (/ 1 4) + x2
#from(x1)	weight: 0
active(x1)	weight: x1
  cons(x1,x2)	weight: (/ 1 4)
#active(x1)	weight: x1
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: (/ 1 4)
    Usable rules: { 1..68 }
    Removed DPs: #54
Number of SCCs: 8, DPs: 14, edges: 42
	SCC { #16 #26 #32 #37 #55 #60 #75 #80 #87 #90 #96 #99 #100 #114 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... succeeded.
negrecip(x1)	status: []	precedence above: s 2ndspos rnil rcons #mark mark 2ndsneg plus cons2 #active posrecip
#cons(x1,x2)	status: []	precedence above:
     s(x1)	status: [x1]	precedence above:
#negrecip(x1)	status: []	precedence above:
2ndspos(x1,x2)	status: [x2,x1]	precedence above: negrecip s rnil rcons #mark mark 2ndsneg plus cons2 #active posrecip
  rnil()	status: []	precedence above:
#plus(x1,x2)	status: [x1]	precedence above:
square(x1)	status: [x1]	precedence above: s 0 times plus
#cons2(x1,x2)	status: [x1,x2]	precedence above:
#square(x1)	status: []	precedence above:
    pi(x1)	status: [x1]	precedence above: negrecip s 2ndspos rnil rcons #mark 0 from mark 2ndsneg plus cons2 #active posrecip
#rcons(x1,x2)	status: [x1]	precedence above:
 rcons(x1,x2)	status: [x1,x2]	precedence above:
#times(x1,x2)	status: []	precedence above:
#mark(x1)	status: [x1]	precedence above: s rcons plus #active
     0()	status: []	precedence above:
#posrecip(x1)	status: []	precedence above:
  from(x1)	status: []	precedence above: negrecip s 2ndspos rnil pi rcons #mark 0 mark 2ndsneg plus cons2 #active posrecip
 times(x1,x2)	status: [x2,x1]	precedence above: s 0 plus
   #s(x1)	status: []	precedence above:
  mark(x1)	status: x1
2ndsneg(x1,x2)	status: [x2,x1]	precedence above: negrecip s 2ndspos rnil rcons #mark mark plus cons2 #active posrecip
  plus(x1,x2)	status: [x1,x2]	precedence above: s
#2ndspos(x1,x2)	status: []	precedence above:
 cons2(x1,x2)	status: x2
#from(x1)	status: []	precedence above:
active(x1)	status: x1
  cons(x1,x2)	status: x2
#active(x1)	status: [x1]	precedence above: s rcons #mark plus
  #pi(x1)	status: []	precedence above:
#2ndsneg(x1,x2)	status: [x1,x2]	precedence above:
posrecip(x1)	status: []	precedence above: negrecip s 2ndspos rnil rcons #mark mark 2ndsneg plus cons2 #active
    Usable rules: { 1..68 }
    Removed DPs: #26 #37 #90 #96 #99 #114
Number of SCCs: 9, DPs: 4, edges: 4
	SCC { #16 #32 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: (/ 1 8)
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: (/ 1 8) + x2
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 8) + x1
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 2)
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: (/ 1 8)
#times(x1,x2)	weight: 0
#mark(x1)	weight: (/ 1 8) + x1
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 3 8)
 times(x1,x2)	weight: (/ 1 8)
   #s(x1)	weight: 0
  mark(x1)	weight: x1
2ndsneg(x1,x2)	weight: (/ 1 8) + x2
  plus(x1,x2)	weight: x2
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: (/ 1 8)
#from(x1)	weight: 0
active(x1)	weight: x1
  cons(x1,x2)	weight: (/ 3 8)
#active(x1)	weight: x1
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: (/ 1 8)
    Usable rules: { 1..68 }
    Removed DPs: #16 #32
Number of SCCs: 8, DPs: 2, edges: 2
	SCC { #80 #100 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
negrecip(x1)	weight: (/ 1 8)
#cons(x1,x2)	weight: 0
     s(x1)	weight: 0
#negrecip(x1)	weight: 0
2ndspos(x1,x2)	weight: (/ 1 8) + x2
  rnil()	weight: 0
#plus(x1,x2)	weight: 0
square(x1)	weight: (/ 1 8) + x1
#cons2(x1,x2)	weight: 0
#square(x1)	weight: 0
    pi(x1)	weight: (/ 1 2)
#rcons(x1,x2)	weight: 0
 rcons(x1,x2)	weight: (/ 1 8)
#times(x1,x2)	weight: 0
#mark(x1)	weight: (/ 1 8) + x1
     0()	weight: 0
#posrecip(x1)	weight: 0
  from(x1)	weight: (/ 3 8)
 times(x1,x2)	weight: (/ 1 8)
   #s(x1)	weight: 0
  mark(x1)	weight: x1
2ndsneg(x1,x2)	weight: (/ 1 8) + x2
  plus(x1,x2)	weight: x2
#2ndspos(x1,x2)	weight: 0
 cons2(x1,x2)	weight: (/ 1 8)
#from(x1)	weight: 0
active(x1)	weight: x1
  cons(x1,x2)	weight: (/ 3 8)
#active(x1)	weight: x1
  #pi(x1)	weight: 0
#2ndsneg(x1,x2)	weight: 0
posrecip(x1)	weight: (/ 1 8)
    Usable rules: { 1..68 }
    Removed DPs: #80 #100
Number of SCCs: 7, DPs: 0, edges: 0
YES