Input TRS:
    1: c(c(c(b(x)))) -> a(|1|(),b(c(x)))
    2: b(c(b(c(x)))) -> a(|0|(),a(|1|(),x))
    3: a(|0|(),x) -> c(c(x))
    4: a(|1|(),x) -> c(b(x))
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Freezing a
1: c(c(c(b(x)))) -> a❆1_|1|(b(c(x)))
2: b(c(b(c(x)))) -> a❆1_|0|(a❆1_|1|(x))
3: a❆1_|0|(x) -> c(c(x))
4: a❆1_|1|(x) -> c(b(x))
5: a(|0|(),_1) ->= a❆1_|0|(_1)
6: a(|1|(),_1) ->= a❆1_|1|(_1)
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... removes: 5 6
   |0|()	weight: 0
     a(x1,x2)	weight: (/ 3 16) + x1 + x2
a❆1_|0|(x1)	weight: (/ 1 8) + x1
     b(x1)	weight: (/ 1 16) + x1
     c(x1)	weight: (/ 1 16) + x1
a❆1_|1|(x1)	weight: (/ 1 8) + x1
   |1|()	weight: 0
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #b(c(b(c(x)))) -> #a❆1_|0|(a❆1_|1|(x))
   #2: #b(c(b(c(x)))) -> #a❆1_|1|(x)
   #3: #a❆1_|0|(x) -> #c(c(x))
   #4: #a❆1_|0|(x) -> #c(x)
   #5: #c(c(c(b(x)))) -> #a❆1_|1|(b(c(x)))
   #6: #c(c(c(b(x)))) -> #b(c(x))
   #7: #c(c(c(b(x)))) -> #c(x)
   #8: #a❆1_|1|(x) -> #c(b(x))
   #9: #a❆1_|1|(x) -> #b(x)
Number of SCCs: 1, DPs: 9, edges: 22
	SCC { #1..9 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
     a(x1,x2)	weight: 0
a❆1_|0|(x1)	weight: (/ 3 8) + x1
     b(x1)	weight: (/ 3 16) + x1
     c(x1)	weight: (/ 3 16) + x1
#a❆1_|0|(x1)	weight: (/ 1 4) + x1
a❆1_|1|(x1)	weight: (/ 3 8) + x1
   |1|()	weight: 0
   #c(x1)	weight: x1
   #b(x1)	weight: (/ 1 8) + x1
#a❆1_|1|(x1)	weight: (/ 3 16) + x1
    Usable rules: { 1..4 }
    Removed DPs: #1..4 #6 #7 #9
Number of SCCs: 1, DPs: 2, edges: 2
	SCC { #5 #8 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed.
Removing edges: failed.
Finding a loop...  failed.
MAYBE