The rewrite relation of the following TRS is considered.
a(x1) | → | x1 | (1) |
a(a(b(x1))) | → | c(c(a(c(x1)))) | (2) |
c(c(x1)) | → | b(a(x1)) | (3) |
a(x1) | → | x1 | (1) |
b(a(a(x1))) | → | c(a(c(c(x1)))) | (4) |
c(c(x1)) | → | a(b(x1)) | (5) |
b#(a(a(x1))) | → | c#(a(c(c(x1)))) | (6) |
b#(a(a(x1))) | → | a#(c(c(x1))) | (7) |
b#(a(a(x1))) | → | c#(c(x1)) | (8) |
b#(a(a(x1))) | → | c#(x1) | (9) |
c#(c(x1)) | → | a#(b(x1)) | (10) |
c#(c(x1)) | → | b#(x1) | (11) |
The dependency pairs are split into 1 component.
c#(c(x1)) | → | b#(x1) | (11) |
b#(a(a(x1))) | → | c#(a(c(c(x1)))) | (6) |
b#(a(a(x1))) | → | c#(c(x1)) | (8) |
b#(a(a(x1))) | → | c#(x1) | (9) |
[c#(x1)] | = |
|
||||||||||||||||||
[c(x1)] | = |
|
||||||||||||||||||
[b#(x1)] | = |
|
||||||||||||||||||
[a(x1)] | = |
|
||||||||||||||||||
[b(x1)] | = |
|
b#(a(a(x1))) | → | c#(x1) | (9) |
[c#(x1)] | = |
|
||||||||||||||||||
[c(x1)] | = |
|
||||||||||||||||||
[b#(x1)] | = |
|
||||||||||||||||||
[a(x1)] | = |
|
||||||||||||||||||
[b(x1)] | = |
|
c#(c(x1)) | → | b#(x1) | (11) |
The dependency pairs are split into 0 components.