YES
Input TRS:
      1: start(i) -> busy(F(),closed(),stop(),false(),false(),false(),i)
      2: busy(BF(),d,stop(),b1,b2,b3,i) -> incorrect()
      3: busy(FS(),d,stop(),b1,b2,b3,i) -> incorrect()
      4: busy(fl,open(),up(),b1,b2,b3,i) -> incorrect()
      5: busy(fl,open(),down(),b1,b2,b3,i) -> incorrect()
      6: busy(B(),closed(),stop(),false(),false(),false(),empty()) -> correct()
      7: busy(F(),closed(),stop(),false(),false(),false(),empty()) -> correct()
      8: busy(S(),closed(),stop(),false(),false(),false(),empty()) -> correct()
      9: busy(B(),closed(),stop(),false(),false(),false(),newbuttons(i1,i2,i3,i)) -> idle(B(),closed(),stop(),false(),false(),false(),newbuttons(i1,i2,i3,i))
      10: busy(F(),closed(),stop(),false(),false(),false(),newbuttons(i1,i2,i3,i)) -> idle(F(),closed(),stop(),false(),false(),false(),newbuttons(i1,i2,i3,i))
      11: busy(S(),closed(),stop(),false(),false(),false(),newbuttons(i1,i2,i3,i)) -> idle(S(),closed(),stop(),false(),false(),false(),newbuttons(i1,i2,i3,i))
      12: busy(B(),open(),stop(),false(),b2,b3,i) -> idle(B(),closed(),stop(),false(),b2,b3,i)
      13: busy(F(),open(),stop(),b1,false(),b3,i) -> idle(F(),closed(),stop(),b1,false(),b3,i)
      14: busy(S(),open(),stop(),b1,b2,false(),i) -> idle(S(),closed(),stop(),b1,b2,false(),i)
      15: busy(B(),d,stop(),true(),b2,b3,i) -> idle(B(),open(),stop(),false(),b2,b3,i)
      16: busy(F(),d,stop(),b1,true(),b3,i) -> idle(F(),open(),stop(),b1,false(),b3,i)
      17: busy(S(),d,stop(),b1,b2,true(),i) -> idle(S(),open(),stop(),b1,b2,false(),i)
      18: busy(B(),closed(),down(),b1,b2,b3,i) -> idle(B(),closed(),stop(),b1,b2,b3,i)
      19: busy(S(),closed(),up(),b1,b2,b3,i) -> idle(S(),closed(),stop(),b1,b2,b3,i)
      20: busy(B(),closed(),up(),true(),b2,b3,i) -> idle(B(),closed(),stop(),true(),b2,b3,i)
      21: busy(F(),closed(),up(),b1,true(),b3,i) -> idle(F(),closed(),stop(),b1,true(),b3,i)
      22: busy(F(),closed(),down(),b1,true(),b3,i) -> idle(F(),closed(),stop(),b1,true(),b3,i)
      23: busy(S(),closed(),down(),b1,b2,true(),i) -> idle(S(),closed(),stop(),b1,b2,true(),i)
      24: busy(B(),closed(),up(),false(),b2,b3,i) -> idle(BF(),closed(),up(),false(),b2,b3,i)
      25: busy(F(),closed(),up(),b1,false(),b3,i) -> idle(FS(),closed(),up(),b1,false(),b3,i)
      26: busy(F(),closed(),down(),b1,false(),b3,i) -> idle(BF(),closed(),down(),b1,false(),b3,i)
      27: busy(S(),closed(),down(),b1,b2,false(),i) -> idle(FS(),closed(),down(),b1,b2,false(),i)
      28: busy(BF(),closed(),up(),b1,b2,b3,i) -> idle(F(),closed(),up(),b1,b2,b3,i)
      29: busy(BF(),closed(),down(),b1,b2,b3,i) -> idle(B(),closed(),down(),b1,b2,b3,i)
      30: busy(FS(),closed(),up(),b1,b2,b3,i) -> idle(S(),closed(),up(),b1,b2,b3,i)
      31: busy(FS(),closed(),down(),b1,b2,b3,i) -> idle(F(),closed(),down(),b1,b2,b3,i)
      32: busy(B(),closed(),stop(),false(),true(),b3,i) -> idle(B(),closed(),up(),false(),true(),b3,i)
      33: busy(B(),closed(),stop(),false(),false(),true(),i) -> idle(B(),closed(),up(),false(),false(),true(),i)
      34: busy(F(),closed(),stop(),true(),false(),b3,i) -> idle(F(),closed(),down(),true(),false(),b3,i)
      35: busy(F(),closed(),stop(),false(),false(),true(),i) -> idle(F(),closed(),up(),false(),false(),true(),i)
      36: busy(S(),closed(),stop(),b1,true(),false(),i) -> idle(S(),closed(),down(),b1,true(),false(),i)
      37: busy(S(),closed(),stop(),true(),false(),false(),i) -> idle(S(),closed(),down(),true(),false(),false(),i)
      38: idle(fl,d,m,b1,b2,b3,empty()) -> busy(fl,d,m,b1,b2,b3,empty())
      39: idle(fl,d,m,b1,b2,b3,newbuttons(i1,i2,i3,i)) -> busy(fl,d,m,or(b1,i1),or(b2,i2),or(b3,i3),i)
      40: or(true(),b) -> true()
      41: or(false(),b) -> b
Number of strict rules: 41
Direct POLO(bPol) ... removes: 4 15 8 1 3 16 17 5 39 7 14 12 13 40 6 41 2
      stop	w: 23975
      newbuttons	w: x1 + 2 * x2 + 2 * x3 + x4 + 26467
      S 	w: 3
      F 	w: 3
      false	w: 3020
      closed	w: 1911
      down	w: 23975
      incorrect	w: 23977
      idle	w: x1 + 2 * x2 + x3 + x4 + x5 + x6 + x7
      true	w: 6845
      correct	w: 57682
      B 	w: 3
      FS	w: 3
      or	w: x1 + x2 + 8822
      busy	w: x1 + 2 * x2 + x3 + x4 + x5 + x6 + x7
      open	w: 1912
      empty	w: 20823
      start	w: x1 + 36861
      BF	w: 3
      up	w: 23975
Number of strict rules: 24
Direct POLO(bPol) ... removes: 10 11 9
      stop	w: 20055
      newbuttons	w: 2 * x1 + 2 * x2 + 2 * x3 + 2 * x4 + 107812
      S 	w: 1
      F 	w: 1
      false	w: 7036
      closed	w: 1
      down	w: 20055
      incorrect	w: 65893
      idle	w: x1 + 2 * x2 + 2 * x3 + 2 * x4 + x5 + x6 + x7 + 25782
      true	w: 7038
      correct	w: 94039
      B 	w: 1
      FS	w: 1
      or	w: x1 + x2 + 26953
      busy	w: x1 + 2 * x2 + 2 * x3 + 2 * x4 + x5 + x6 + 2 * x7 + 25782
      open	w: 1
      empty	w: 0
      start	w: 2 * x1 + 94040
      BF	w: 1
      up	w: 20055
Number of strict rules: 21
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #busy(BF(),closed(),down(),b1,b2,b3,i) -> #idle(B(),closed(),down(),b1,b2,b3,i)
     #2: #busy(F(),closed(),stop(),false(),false(),true(),i) -> #idle(F(),closed(),up(),false(),false(),true(),i)
     #3: #busy(S(),closed(),stop(),true(),false(),false(),i) -> #idle(S(),closed(),down(),true(),false(),false(),i)
     #4: #idle(fl,d,m,b1,b2,b3,empty()) -> #busy(fl,d,m,b1,b2,b3,empty())
     #5: #busy(B(),closed(),up(),false(),b2,b3,i) -> #idle(BF(),closed(),up(),false(),b2,b3,i)
     #6: #busy(S(),closed(),down(),b1,b2,true(),i) -> #idle(S(),closed(),stop(),b1,b2,true(),i)
     #7: #busy(FS(),closed(),down(),b1,b2,b3,i) -> #idle(F(),closed(),down(),b1,b2,b3,i)
     #8: #busy(FS(),closed(),up(),b1,b2,b3,i) -> #idle(S(),closed(),up(),b1,b2,b3,i)
     #9: #busy(F(),closed(),up(),b1,false(),b3,i) -> #idle(FS(),closed(),up(),b1,false(),b3,i)
     #10: #busy(B(),closed(),up(),true(),b2,b3,i) -> #idle(B(),closed(),stop(),true(),b2,b3,i)
     #11: #busy(B(),closed(),stop(),false(),false(),true(),i) -> #idle(B(),closed(),up(),false(),false(),true(),i)
     #12: #busy(BF(),closed(),up(),b1,b2,b3,i) -> #idle(F(),closed(),up(),b1,b2,b3,i)
     #13: #busy(F(),closed(),down(),b1,true(),b3,i) -> #idle(F(),closed(),stop(),b1,true(),b3,i)
     #14: #busy(F(),closed(),stop(),true(),false(),b3,i) -> #idle(F(),closed(),down(),true(),false(),b3,i)
     #15: #busy(S(),closed(),down(),b1,b2,false(),i) -> #idle(FS(),closed(),down(),b1,b2,false(),i)
     #16: #busy(B(),closed(),stop(),false(),true(),b3,i) -> #idle(B(),closed(),up(),false(),true(),b3,i)
     #17: #busy(S(),closed(),up(),b1,b2,b3,i) -> #idle(S(),closed(),stop(),b1,b2,b3,i)
     #18: #busy(F(),closed(),down(),b1,false(),b3,i) -> #idle(BF(),closed(),down(),b1,false(),b3,i)
     #19: #busy(S(),closed(),stop(),b1,true(),false(),i) -> #idle(S(),closed(),down(),b1,true(),false(),i)
     #20: #busy(F(),closed(),up(),b1,true(),b3,i) -> #idle(F(),closed(),stop(),b1,true(),b3,i)
     #21: #busy(B(),closed(),down(),b1,b2,b3,i) -> #idle(B(),closed(),stop(),b1,b2,b3,i)
Number of SCCs: 1, DPs: 21
  SCC { #1..21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 7
      newbuttons	w: 0
      S 	w: 8
      F 	w: 8
      #idle	w: max(x1 + 27864, x2 + 27860, x3 + 27860, x4 + 27858)
      false	w: 15
      closed	w: 3
      down	w: 0
      incorrect	w: 0
      idle	w: 0
      true	w: 3
      correct	w: 0
      B 	w: 4
      FS	w: 8
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 27864, x2 + 27859, x3 + 27857, x4 + 27858, x7 + 27864)
      empty	w: 0
      start	w: 0
      BF	w: 8
      up	w: 12
    USABLE RULES: { }
    Removed DPs: #10
Number of SCCs: 1, DPs: 20
  SCC { #1..9 #11..21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 24920
      newbuttons	w: 0
      S 	w: 3
      F 	w: 3829
      #idle	w: max(x1 + 28749, x2 + 2, x3 + 3827, x6 + 24922)
      false	w: 7656
      closed	w: 28749
      down	w: 28750
      incorrect	w: 0
      idle	w: 0
      true	w: 3827
      correct	w: 0
      B 	w: 3829
      FS	w: 3829
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 28749, x2 + 1, x3 + 3, x6 + 24922, x7 + 28748)
      empty	w: 0
      start	w: 0
      BF	w: 3829
      up	w: 21094
    USABLE RULES: { }
    Removed DPs: #6
Number of SCCs: 1, DPs: 19
  SCC { #1..5 #7..9 #11..21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 29197
      newbuttons	w: 0
      S 	w: 58401
      F 	w: 29198
      #idle	w: max(x1 + 29199, x2 + 58400, x3 + 29198, x5 + 29197, x7 + 29196)
      false	w: 58403
      closed	w: 0
      down	w: 29203
      incorrect	w: 0
      idle	w: 0
      true	w: 0
      correct	w: 0
      B 	w: 58400
      FS	w: 58401
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 29199, x2 + 58400, x3 + 1, x5 + 29197, x7 + 58396)
      empty	w: 4
      start	w: 0
      BF	w: 58400
      up	w: 58400
    USABLE RULES: { }
    Removed DPs: #20
Number of SCCs: 1, DPs: 18
  SCC { #1..5 #7..9 #11..19 #21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 24817
      newbuttons	w: 0
      S 	w: 49631
      F 	w: 24816
      #idle	w: max(x1 + 24815, x2 + 24817, x3 + 24813, x5 + 24814)
      false	w: 49633
      closed	w: 0
      down	w: 49631
      incorrect	w: 0
      idle	w: 0
      true	w: 2
      correct	w: 0
      B 	w: 49630
      FS	w: 49631
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 24815, x2 + 24817, x3 + 1, x5 + 24814, x7 + 24815)
      empty	w: 1
      start	w: 0
      BF	w: 49630
      up	w: 49632
    USABLE RULES: { }
    Removed DPs: #13
Number of SCCs: 1, DPs: 17
  SCC { #1..5 #7..9 #11 #12 #14..19 #21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 23388
      newbuttons	w: 0
      S 	w: 5
      F 	w: 1
      #idle	w: max(x1 + 48468, x2 + 25087, x3 + 25084, x5 + 25085)
      false	w: 23388
      closed	w: 0
      down	w: 23389
      incorrect	w: 0
      idle	w: 0
      true	w: 0
      correct	w: 0
      B 	w: 3
      FS	w: 5
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 48468, x2 + 25086, x3 + 25084, x5 + 25085, x7 + 48467)
      empty	w: 0
      start	w: 0
      BF	w: 2
      up	w: 23384
    USABLE RULES: { }
    Removed DPs: #16
Number of SCCs: 1, DPs: 16
  SCC { #1..5 #7..9 #11 #12 #14 #15 #17..19 #21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 2
      newbuttons	w: 0
      S 	w: 5
      F 	w: 4
      #idle	w: max(x1 + 12706, x2 + 3, x3 + 12704, x6 + 12703, x7 + 1)
      false	w: 0
      closed	w: 12704
      down	w: 1
      incorrect	w: 0
      idle	w: 0
      true	w: 9
      correct	w: 0
      B 	w: 2
      FS	w: 4
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 12706, x2, x3 + 12704, x6 + 12703, x7 + 4)
      empty	w: 12701
      start	w: 0
      BF	w: 3
      up	w: 8
    USABLE RULES: { }
    Removed DPs: #15
Number of SCCs: 1, DPs: 15
  SCC { #1..5 #7..9 #11 #12 #14 #17..19 #21 }
POLO(Sum)... succeeded.
      stop	w: 1
      newbuttons	w: 0
      S 	w: 1
      F 	w: 15393
      #idle	w: x1
      false	w: 1
      closed	w: 1
      down	w: 1
      incorrect	w: 0
      idle	w: 0
      true	w: 1
      correct	w: 0
      B 	w: 15393
      FS	w: 15393
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: x1
      empty	w: 1
      start	w: 0
      BF	w: 15393
      up	w: 1
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 1, DPs: 14
  SCC { #1..5 #7 #9 #11 #12 #14 #17..19 #21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 20807
      newbuttons	w: 0
      S 	w: 0
      F 	w: 20812
      #idle	w: max(x1 + 50203, x2 + 50201, x3 + 50205, x5 + 50200, x6 + 29394)
      false	w: 20810
      closed	w: 5
      down	w: 0
      incorrect	w: 0
      idle	w: 0
      true	w: 1
      correct	w: 0
      B 	w: 20812
      FS	w: 20812
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 50203, x2 + 50201, x3 + 50204, x5 + 50200, x6 + 29394, x7 + 50202)
      empty	w: 0
      start	w: 0
      BF	w: 20812
      up	w: 20809
    USABLE RULES: { }
    Removed DPs: #3 #19
Number of SCCs: 1, DPs: 12
  SCC { #1 #2 #4 #5 #7 #9 #11 #12 #14 #17 #18 #21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 28823
      newbuttons	w: 0
      S 	w: 4
      F 	w: 2
      #idle	w: max(x1 + 52603, x2 + 23792, x3 + 23783, x4 + 23791, x5 + 47585, x6 + 23784)
      false	w: 0
      closed	w: 23792
      down	w: 28825
      incorrect	w: 0
      idle	w: 0
      true	w: 28818
      correct	w: 0
      B 	w: 4
      FS	w: 1
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 52603, x2, x3 + 23783, x4 + 23791, x5 + 47585, x6 + 23784, x7 + 52603)
      empty	w: 0
      start	w: 0
      BF	w: 3
      up	w: 0
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 11
  SCC { #1 #4 #5 #7 #9 #11 #12 #14 #17 #18 #21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 16
      newbuttons	w: 0
      S 	w: 11
      F 	w: 8
      #idle	w: max(x1 + 17592, x2 + 17595, x3 + 17587, x4 + 17588, x5 + 17591, x6 + 17598, x7 + 17591)
      false	w: 8
      closed	w: 0
      down	w: 16
      incorrect	w: 0
      idle	w: 0
      true	w: 0
      correct	w: 0
      B 	w: 10
      FS	w: 0
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 17592, x2 + 17594, x3 + 17587, x4 + 17588, x5 + 17591, x6 + 17598, x7 + 17597)
      empty	w: 0
      start	w: 0
      BF	w: 9
      up	w: 6
    USABLE RULES: { }
    Removed DPs: #11
Number of SCCs: 1, DPs: 10
  SCC { #1 #4 #5 #7 #9 #12 #14 #17 #18 #21 }
POLO(Sum)... succeeded.
      stop	w: 41801
      newbuttons	w: 0
      S 	w: 1
      F 	w: 1
      #idle	w: x3 + x7
      false	w: 1
      closed	w: 1
      down	w: 41801
      incorrect	w: 0
      idle	w: 0
      true	w: 1
      correct	w: 0
      B 	w: 1
      FS	w: 1
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: x3 + x7
      empty	w: 33573
      start	w: 0
      BF	w: 1
      up	w: 41802
    USABLE RULES: { }
    Removed DPs: #17
Number of SCCs: 1, DPs: 9
  SCC { #1 #4 #5 #7 #9 #12 #14 #18 #21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 0
      newbuttons	w: 0
      S 	w: 11
      F 	w: 5
      #idle	w: max(x1 + 9609, x2 + 9607, x3 + 9612, x5 + 9608, x7)
      false	w: 3
      closed	w: 0
      down	w: 0
      incorrect	w: 0
      idle	w: 0
      true	w: 0
      correct	w: 0
      B 	w: 0
      FS	w: 6
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 9609, x2 + 1, x3 + 9612, x5 + 9608, x7 + 9610)
      empty	w: 1
      start	w: 0
      BF	w: 4
      up	w: 4
    USABLE RULES: { }
    Removed DPs: #18
Number of SCCs: 1, DPs: 8
  SCC { #1 #4 #5 #7 #9 #12 #14 #21 }
POLO(Sum)... succeeded.
      stop	w: 1
      newbuttons	w: 0
      S 	w: 1
      F 	w: 3114
      #idle	w: x1 + x2 + x7
      false	w: 1
      closed	w: 43717
      down	w: 1
      incorrect	w: 0
      idle	w: 0
      true	w: 1
      correct	w: 0
      B 	w: 3115
      FS	w: 3114
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: x1 + x2 + x7
      empty	w: 28631
      start	w: 0
      BF	w: 3115
      up	w: 1
    USABLE RULES: { }
    Removed DPs: #12
Number of SCCs: 1, DPs: 7
  SCC { #1 #4 #5 #7 #9 #14 #21 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 20745
      newbuttons	w: 0
      S 	w: 11
      F 	w: 0
      #idle	w: max(x1 + 23683, x2 + 2, x3 + 2940, x4 + 2941, x5 + 23682)
      false	w: 0
      closed	w: 23678
      down	w: 20738
      incorrect	w: 0
      idle	w: 0
      true	w: 20743
      correct	w: 0
      B 	w: 2
      FS	w: 0
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 23683, x2 + 1, x3 + 2940, x4 + 2941, x5 + 23682)
      empty	w: 0
      start	w: 0
      BF	w: 2
      up	w: 20741
    USABLE RULES: { }
    Removed DPs: #14
Number of SCCs: 1, DPs: 6
  SCC { #1 #4 #5 #7 #9 #21 }
POLO(Sum)... succeeded.
      stop	w: 1
      newbuttons	w: 0
      S 	w: 1
      F 	w: 1
      #idle	w: x2 + x3 + x7
      false	w: 1
      closed	w: 35455
      down	w: 2
      incorrect	w: 0
      idle	w: 0
      true	w: 0
      correct	w: 0
      B 	w: 1
      FS	w: 1
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: x2 + x3 + x7
      empty	w: 57049
      start	w: 0
      BF	w: 1
      up	w: 0
    USABLE RULES: { }
    Removed DPs: #21
Number of SCCs: 1, DPs: 5
  SCC { #1 #4 #5 #7 #9 }
POLO(Sum)... POLO(max)... succeeded.
      stop	w: 20745
      newbuttons	w: 0
      S 	w: 11
      F 	w: 12687
      #idle	w: max(x1 + 12690, x2 + 12687, x3, x7)
      false	w: 0
      closed	w: 0
      down	w: 0
      incorrect	w: 0
      idle	w: 0
      true	w: 20743
      correct	w: 0
      B 	w: 102
      FS	w: 25377
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: max(x1 + 1, x2 + 12686, x3, x7 + 12688)
      empty	w: 1
      start	w: 0
      BF	w: 25378
      up	w: 38068
    USABLE RULES: { }
    Removed DPs: #1 #7
Number of SCCs: 1, DPs: 3
  SCC { #4 #5 #9 }
POLO(Sum)... succeeded.
      stop	w: 1
      newbuttons	w: 0
      S 	w: 1
      F 	w: 42430
      #idle	w: x1 + x5 + x7 + 2
      false	w: 1
      closed	w: 1
      down	w: 1
      incorrect	w: 0
      idle	w: 0
      true	w: 0
      correct	w: 0
      B 	w: 41078
      FS	w: 42428
      or	w: 0
      busy	w: 0
      open	w: 0
      #busy	w: x1 + x5 + x7 + 1
      empty	w: 1
      start	w: 0
      BF	w: 41076
      up	w: 1
    USABLE RULES: { }
    Removed DPs: #4 #5 #9
Number of SCCs: 0, DPs: 0