YES
0 QTRS
↳1 FlatCCProof (⇔, 0 ms)
↳2 QTRS
↳3 RootLabelingProof (⇔, 0 ms)
↳4 QTRS
↳5 QTRSRRRProof (⇔, 42 ms)
↳6 QTRS
↳7 DependencyPairsProof (⇔, 217 ms)
↳8 QDP
↳9 DependencyGraphProof (⇔, 0 ms)
↳10 QDP
↳11 QDPOrderProof (⇔, 357 ms)
↳12 QDP
↳13 DependencyGraphProof (⇔, 0 ms)
↳14 AND
↳15 QDP
↳16 QDPOrderProof (⇔, 50 ms)
↳17 QDP
↳18 DependencyGraphProof (⇔, 0 ms)
↳19 TRUE
↳20 QDP
↳21 QDPOrderProof (⇔, 151 ms)
↳22 QDP
↳23 PisEmptyProof (⇔, 0 ms)
↳24 YES
a(a(a(a(b(b(x)))))) → b(b(a(a(b(b(x))))))
b(b(a(a(x)))) → a(a(b(b(b(b(x))))))
b(b(c(c(a(a(x)))))) → c(c(c(c(a(a(a(a(b(b(x))))))))))
a(a(a(a(a(b(b(x))))))) → a(b(b(a(a(b(b(x)))))))
b(a(a(a(a(b(b(x))))))) → b(b(b(a(a(b(b(x)))))))
c(a(a(a(a(b(b(x))))))) → c(b(b(a(a(b(b(x)))))))
a(b(b(a(a(x))))) → a(a(a(b(b(b(b(x)))))))
b(b(b(a(a(x))))) → b(a(a(b(b(b(b(x)))))))
c(b(b(a(a(x))))) → c(a(a(b(b(b(b(x)))))))
a(b(b(c(c(a(a(x))))))) → a(c(c(c(c(a(a(a(a(b(b(x)))))))))))
b(b(b(c(c(a(a(x))))))) → b(c(c(c(c(a(a(a(a(b(b(x)))))))))))
c(b(b(c(c(a(a(x))))))) → c(c(c(c(c(a(a(a(a(b(b(x)))))))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
c_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
c_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
c_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
POL(a_{a_1}(x1)) = x1
POL(a_{b_1}(x1)) = x1
POL(a_{c_1}(x1)) = x1
POL(b_{a_1}(x1)) = x1
POL(b_{b_1}(x1)) = x1
POL(b_{c_1}(x1)) = x1
POL(c_{a_1}(x1)) = 1 + x1
POL(c_{b_1}(x1)) = 1 + x1
POL(c_{c_1}(x1)) = x1
c_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
c_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
c_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{c_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{c_1}(x))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{c_1}(x))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{B_1}(b_{a_1}(x))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{A_1}(x)
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{b_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(b_{b_1}(x))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(x)
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{c_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → B_{B_1}(b_{c_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{A_1}(x)
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{b_1}(x)))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(x)
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{c_1}(x)))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → B_{B_1}(b_{c_1}(x))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(x)))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{A_1}(x)
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{b_1}(x)))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(x)
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{c_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{B_1}(b_{a_1}(x))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{A_1}(x)
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{b_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(b_{b_1}(x))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(x)
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{c_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{A_1}(x)
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{b_1}(x)))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(x)
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{c_1}(x)))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{B_1}(b_{a_1}(x))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → B_{A_1}(x)
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{b_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(b_{b_1}(x))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → B_{B_1}(x)
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{c_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
POL(A_{A_1}(x1)) = x1
POL(A_{B_1}(x1)) = x1
POL(B_{A_1}(x1)) = x1
POL(B_{B_1}(x1)) = x1
POL(C_{A_1}(x1)) = 1 + x1
POL(C_{B_1}(x1)) = 1 + x1
POL(a_{a_1}(x1)) = x1
POL(a_{b_1}(x1)) = x1
POL(a_{c_1}(x1)) = x1
POL(b_{a_1}(x1)) = x1
POL(b_{b_1}(x1)) = x1
POL(b_{c_1}(x1)) = x1
POL(c_{a_1}(x1)) = 1 + x1
POL(c_{b_1}(x1)) = 1 + x1
POL(c_{c_1}(x1)) = x1
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{c_1}(x)))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → C_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
POL(C_{A_1}(x1)) = x1
POL(C_{B_1}(x1)) = 1 + x1
POL(a_{a_1}(x1)) = 1 + x1
POL(a_{b_1}(x1)) = x1
POL(a_{c_1}(x1)) = 0
POL(b_{a_1}(x1)) = 1 + x1
POL(b_{b_1}(x1)) = x1
POL(b_{c_1}(x1)) = 0
POL(c_{a_1}(x1)) = 0
POL(c_{b_1}(x1)) = 0
POL(c_{c_1}(x1)) = 0
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
C_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → C_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{b_1}(b_{a_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{B_1}(b_{a_1}(x))
B_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → B_{A_1}(x)
B_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(x)))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(b_{b_1}(x))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → B_{B_1}(x)
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))
A_{B_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → B_{B_1}(b_{b_1}(b_{b_1}(b_{c_1}(x))))
POL(A_{A_1}(x1)) = 1 + x1
POL(A_{B_1}(x1)) = 1 + x1
POL(B_{A_1}(x1)) = x1
POL(B_{B_1}(x1)) = x1
POL(a_{a_1}(x1)) = 1 + x1
POL(a_{b_1}(x1)) = x1
POL(a_{c_1}(x1)) = 0
POL(b_{a_1}(x1)) = 1 + x1
POL(b_{b_1}(x1)) = x1
POL(b_{c_1}(x1)) = 0
POL(c_{a_1}(x1)) = 0
POL(c_{b_1}(x1)) = 1
POL(c_{c_1}(x1)) = 0
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x))))))) → c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x)))))))
c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x))))) → c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x)))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{b_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x)))))))))))
b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{c_1}(x))))))) → b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x)))))))))))