Input TRS:
    1: c(c(c(y))) -> c(c(a(y,|0|())))
    2: c(a(a(|0|(),x),y)) -> a(c(c(c(|0|()))),y)
    3: c(y) -> y
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(a(a(|0|(),x),y)) -> #c(c(c(|0|())))
   #2: #c(a(a(|0|(),x),y)) -> #c(c(|0|()))
   #3: #c(a(a(|0|(),x),y)) -> #c(|0|())
   #4: #c(c(c(y))) -> #c(c(a(y,|0|())))
   #5: #c(c(c(y))) -> #c(a(y,|0|()))
Number of SCCs: 1, DPs: 4, edges: 14
	SCC { #1 #2 #4 #5 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... succeeded.
   |0|()	weight: 0; 0
     a(x1,x2)	weight: (/ 1 4); 0
     c(x1)	weight: x1_1 + x1_2; (/ 1 4) + x1_2
   #c(x1)	weight: x1_1; 0
    Usable rules: { 1..3 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 3, edges: 7
	SCC { #1 #4 #5 }
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