MAYBE
(ignored inputs)COMMENT reduction failed
Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(a(b(a(a(a(b(?x))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_1)))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(b(b(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(?x_5))) = b(a(a(a(b(b(a(a(b(?x_5))))))))),
     b(a(b(?x_6))) = b(a(a(a(b(a(a(a(b(a(b(?x_6))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(a(a(b(a(a(b(a(a(a(b(?x)))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_3)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))) = b(a(b(?x))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))) = b(a(a(b(?x_1)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_1)))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))) = b(b(b(?x_3))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(?x_5))))),
     b(a(a(a(b(?x_6))))) = b(a(b(?x_6))),
     b(a(a(a(b(a(a(a(b(?x_6))))))))) = b(a(a(a(b(a(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(a(b(a(a(a(b(?x_7))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x))))))))))) = b(b(b(a(a(a(b(a(b(?x))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_1)))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(b(?x_5)))))) = b(b(b(a(a(a(b(a(a(b(?x_5)))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_5))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_6))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(b(a(a(a(b(?x))))))))) = b(a(b(?x))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(?x_1)))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(?x_3))))))),
     b(a(a(b(?x_5)))) = b(a(a(b(?x_5)))),
     b(a(a(b(b(?x_5))))) = b(b(a(a(b(?x_5))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(b(?x_6))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(?x_7))))))),
     b(b(a(a(b(a(a(a(b(?x))))))))) = b(a(b(?x))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(?x_1)))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(?x_2))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(?x_3))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(b(?x_6))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(?x_7))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(?x),
     b(a(a(a(b(a(b(a(a(a(b(?x))))))))))) = b(a(b(?x))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_1)))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(?x_3))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(?x_5))))))) = b(b(a(a(b(?x_5))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(?x_7))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(?x_7))))))),
     b(a(b(a(a(a(b(a(a(a(b(?x))))))))))) = b(a(b(?x))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))) = b(a(a(b(?x_1)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_1)))))))),
     b(a(b(?x_2))) = b(a(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_3))))))))) = b(b(b(?x_3))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(?x_3))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(?x_5))))))) = b(b(a(a(b(?x_5))))),
     b(a(b(?x_6))) = b(a(b(?x_6))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(b(?x_6))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))) ]
Outer CPs:
   [ b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(?x_7) ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(?x_7) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))),
     b(a(b(?x_5))) = b(a(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(b(?x_6))) = b(a(a(a(b(b(a(a(b(?x_6))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))),
     b(a(b(?x_8))) = b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))) = b(a(b(a(a(a(b(a(b(?x_1))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(?x_5))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(a(a(a(b(a(b(?x_8))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_3)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_5)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_7)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_8)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_8)))))))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))))))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))))))))),
     b(a(b(?x_5))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(b(?x_6))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))))),
     b(a(b(?x_8))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_3))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_5))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_6))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_8))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2)))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))))),
     b(a(b(?x_5))) = b(a(a(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(b(?x_6))) = b(a(a(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))),
     b(a(b(?x_8))) = b(a(a(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2)))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))))),
     b(a(b(?x_3))) = b(b(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))))),
     b(a(b(?x_5))) = b(b(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(b(?x_6))) = b(b(a(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))),
     b(a(b(?x_8))) = b(b(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2)))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))))))),
     b(a(b(?x_5))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(b(?x_6))) = b(a(a(a(b(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))),
     b(a(b(?x_8))) = b(a(a(a(b(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_2)))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))))))),
     b(a(b(?x_3))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))))))),
     b(a(b(?x_5))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(b(?x_6))) = b(a(b(a(a(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))),
     b(a(b(?x_8))) = b(a(b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x)))))))))))),
     b(b(b(a(a(a(b(a(b(?x))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(b(?x))) = b(a(a(b(b(a(a(a(b(?x))))))))),
     b(a(b(?x))) = b(b(a(a(b(a(a(a(b(?x))))))))),
     b(a(b(?x))) = b(a(b(a(a(a(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_8)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(a(b(?x_2))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_8))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8))))))))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(?x_8)))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(a(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_4)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(?x_6)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))))),
     b(a(a(b(?x_8)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_8)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_8)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_8)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_8)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_8)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(a(a(a(b(?x_2)))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_4)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(?x_6)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(?x_8)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_8)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(?x_1))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(b(?x_3)))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(?x_7))))) = b(a(b(?x_7))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))) = b(a(b(?x_2))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_3)))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(?x_6))))))))) = b(b(a(a(b(?x_6))))),
     b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(a(a(a(b(a(b(?x_7))))))),
     b(a(a(a(b(a(a(a(b(?x_8))))))))) = b(a(b(a(a(a(b(?x_8))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(?x_6))))) = b(a(a(a(b(b(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))),
     b(a(a(a(b(?x_8))))) = b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_6))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_8))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(b(a(a(b(?x_3)))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(b(b(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(a(b(a(b(?x_7))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))))) = b(a(b(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_3)))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))))))) = b(a(b(a(a(a(b(b(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))) = b(a(b(b(a(a(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))) = b(a(b(a(a(a(b(a(b(?x_7))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_8))))))))))))) = b(a(b(a(b(a(a(a(b(?x_8))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_4)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_7)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_3))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_4)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_8)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_8)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_3)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_4))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(b(?x_7))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_4))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_6))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_8))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(b(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(b(b(a(a(b(?x_3)))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(b(b(b(b(?x_4))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(b(b(a(b(?x_7))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(?x_6))))))))) = b(a(a(b(b(b(a(a(b(?x_6))))))))),
     b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_7))))))))))),
     b(a(a(a(b(a(a(a(b(?x_8))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(a(b(?x_1))))) = b(b(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(b(a(a(b(a(a(b(?x_3)))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(?x_7))))) = b(b(a(a(b(a(b(?x_7))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(?x_6))))))))) = b(b(a(a(b(b(a(a(b(?x_6))))))))),
     b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_7))))))))))),
     b(a(a(a(b(a(a(a(b(?x_8))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_3)))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(a(b(b(b(?x_4))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(b(?x_7))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(?x_6))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_8))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_3)))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(b(a(a(a(b(b(b(?x_4))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(?x_6))))) = b(a(b(b(a(a(b(?x_6))))))),
     b(a(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(b(?x_7))))))))),
     b(a(a(a(b(?x_8))))) = b(a(b(a(b(a(a(a(b(?x_8))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(?x_6))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(?x_7))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_8))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(a(b(b(?x_6)))))) = b(b(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))) = b(b(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(a(a(a(b(b(b(?x_8))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_6)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_8))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(b(?x_6)))))))))) = b(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))))))) = b(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(?x_8))))))))))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_6))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_6))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_2)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(?x_2)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_8)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8)))))))))))))))))))),
     b(b(?x_6)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(?x_6))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))),
     b(b(b(?x_8))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))),
     b(a(a(a(b(b(?x_6)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_8))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))))))),
     b(a(a(a(b(b(?x_6)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(b(?x_8))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))),
     b(a(a(a(b(b(?x_6)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(b(?x_8))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))),
     b(a(a(a(b(b(?x_6)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(b(?x_8))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))))),
     b(b(?x_6)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(?x_2))))))) = b(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(?x_6))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))),
     b(b(b(?x_8))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))),
     b(a(a(a(b(b(?x_6)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(b(?x_8))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(?x))))))))))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(b(?x_6)))) = b(a(a(b(?x_6)))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(a(a(a(b(?x_2))))))))) = b(a(b(?x_2))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(?x_3)))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(?x_6))))) = b(b(a(a(b(?x_6))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(?x_7))))))),
     b(a(a(b(b(?x_8))))) = b(a(b(a(a(a(b(?x_8))))))),
     b(a(a(b(?x_6)))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(b(b(b(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(b(?x_7))))))))))),
     b(a(a(b(b(?x_8))))) = b(a(a(b(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(b(a(a(b(?x_6)))))),
     b(a(a(a(b(a(a(b(b(?x_1))))))))) = b(a(b(a(a(b(b(?x_1))))))),
     b(a(a(a(b(a(a(b(b(a(a(a(b(?x_2))))))))))))) = b(a(b(a(b(?x_2))))),
     b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_3)))))))))),
     b(a(a(a(b(a(a(b(b(?x_4))))))))) = b(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(b(b(?x_6))))))))) = b(a(b(b(a(a(b(?x_6))))))),
     b(a(a(a(b(a(a(b(b(?x_7))))))))) = b(a(b(a(a(a(b(a(b(?x_7))))))))),
     b(a(a(a(b(a(a(b(b(?x_8))))))))) = b(a(b(a(b(a(a(a(b(?x_8))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_1))))))))))))) = b(a(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))))) = b(a(a(a(b(b(a(a(b(?x_6))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_8))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_3))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_8)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_8)))))))))))))),
     b(a(a(b(?x_6)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))),
     b(a(a(b(b(?x_8))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_6)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_6))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_6))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_8))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(b(?x_1)) = b(b(a(a(b(b(?x_1)))))),
     b(b(a(a(a(b(?x_2)))))) = b(b(a(b(?x_2)))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))) = b(b(a(a(a(b(a(a(b(?x_3))))))))),
     b(b(?x_4)) = b(b(a(a(a(b(a(a(a(b(?x_4)))))))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(?x_6)) = b(b(b(a(a(b(?x_6)))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(b(?x_7)))))))),
     b(b(?x_8)) = b(b(a(b(a(a(a(b(?x_8)))))))),
     b(a(a(b(?x_6)))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(?x_6))))) = b(b(a(a(b(b(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(b(?x_7))))))))))),
     b(a(a(b(b(?x_8))))) = b(b(a(a(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(b(?x_6)))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(b(b(a(a(b(?x_6))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(a(a(b(b(?x_8))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(b(?x_6)))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(?x_6))))) = b(a(b(a(a(a(b(b(a(a(b(?x_6))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(a(a(b(b(?x_8))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(a(b(a(a(b(b(?x))))))))) = b(a(b(?x))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(b(?x)) = b(b(?x)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(?x_2))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(?x_3)))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(b(b(?x_6))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(?x_7))))))),
     b(b(a(a(b(?x_8))))) = b(a(b(a(a(a(b(?x_8))))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(?x_2))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(?x_6))))) = b(b(a(a(b(a(a(b(b(?x_6))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(b(?x_7))))))))))),
     b(b(a(a(b(?x_8))))) = b(b(a(a(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(a(b(b(?x_6)))))) = b(a(b(b(?x_6)))),
     b(a(a(a(b(b(a(a(b(?x_1))))))))) = b(a(b(b(a(a(b(?x_1))))))),
     b(a(a(a(b(b(a(a(b(a(a(a(b(?x_2))))))))))))) = b(a(b(a(b(?x_2))))),
     b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_3)))))))))),
     b(a(a(a(b(b(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(a(a(b(b(a(a(b(?x_6))))))))) = b(a(b(a(a(b(b(?x_6))))))),
     b(a(a(a(b(b(a(a(b(?x_7))))))))) = b(a(b(a(a(a(b(a(b(?x_7))))))))),
     b(a(a(a(b(b(a(a(b(?x_8))))))))) = b(a(b(a(b(a(a(a(b(?x_8))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_3))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_8)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_8)))))))))))))),
     b(b(?x_6)) = b(a(a(a(b(a(a(a(b(b(?x_6)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_6))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))))),
     b(b(a(a(b(?x_8))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(a(b(?x_2)))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_6)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_8)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_8)))))))))))),
     b(b(b(a(a(a(b(b(?x_6)))))))) = b(a(a(a(b(b(b(b(?x_6)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_6))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_6))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_8))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(b(a(a(a(b(?x_2)))))))) = b(a(a(b(a(b(?x_2)))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_3))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(?x_6)))) = b(a(a(b(a(a(b(b(?x_6)))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(b(?x_7)))))))))),
     b(a(a(b(?x_8)))) = b(a(a(b(a(b(a(a(a(b(?x_8)))))))))),
     b(b(?x_6)) = b(a(a(b(b(b(?x_6)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(?x_2))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(b(b(a(a(b(b(?x_6))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(b(?x_7))))))))))),
     b(b(a(a(b(?x_8))))) = b(a(a(b(b(a(b(a(a(a(b(?x_8))))))))))),
     b(b(?x_6)) = b(a(a(a(b(a(b(b(?x_6)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(b(a(a(b(b(?x_6))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(b(a(a(b(?x_8))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(b(?x_6)) = b(a(b(a(a(a(b(b(?x_6)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(?x_6))))) = b(a(b(a(a(a(b(a(a(b(b(?x_6))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))),
     b(b(a(a(b(?x_8))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(a(b(b(a(a(b(?x))))))))) = b(a(b(?x))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(?x),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))) = b(a(b(?x_2))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_3)))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(b(b(?x_6))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(?x_7))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_6))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_7))))))))))),
     b(a(a(a(b(a(b(?x_8))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))) = b(a(b(a(a(a(b(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(b(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_3)))))))))),
     b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))) = b(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(a(b(?x_6))))))))))) = b(a(b(a(a(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))) = b(a(b(b(a(a(b(?x_7))))))),
     b(a(a(a(b(a(a(a(b(a(b(?x_8))))))))))) = b(a(b(a(b(a(a(a(b(?x_8))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_3))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_8)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_8)))))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(a(b(?x_8))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_8))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_6))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_6))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_8))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_8))))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(b(b(a(a(b(b(?x_6))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(b(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_8))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(b(a(a(b(a(a(b(b(?x_6))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(b(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_8))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_8))))))))))),
     b(a(b(?x_1))) = b(a(b(a(a(a(b(a(b(?x_1))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(b(?x_2))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_3)))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(?x_6))) = b(a(b(a(a(b(b(?x_6))))))),
     b(a(b(?x_7))) = b(a(b(b(a(a(b(?x_7))))))),
     b(a(b(?x_8))) = b(a(b(a(b(a(a(a(b(?x_8))))))))),
     b(a(a(a(b(a(a(a(b(a(b(?x))))))))))) = b(a(b(?x))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(b(?x))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(b(?x))) = b(a(b(?x))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))) = b(a(a(b(?x_3)))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(b(?x_2))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_3)))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(b(b(?x_6))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_6))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_7))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(b(a(a(b(?x_3)))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(b(b(?x_5))))),
     b(a(a(a(b(a(b(?x_8))))))) = b(a(b(a(b(?x_8))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))) = b(a(b(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(b(a(b(?x_2))))),
     b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_3)))))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))) = b(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(b(b(?x_6))))))),
     b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))) = b(a(b(b(a(a(b(?x_7))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_8)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_8)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_3))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_7)))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_6))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_3)))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(?x_8))))))))) = b(a(a(a(b(b(b(a(b(?x_8))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_6))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_6))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_7))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))) = b(a(a(b(b(a(a(b(?x_3)))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(?x_8))) = b(a(a(b(b(a(b(?x_8))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(b(b(a(a(b(b(?x_6))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(b(a(a(b(?x_7))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))) = b(b(a(a(b(a(a(b(?x_3)))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(?x_8))) = b(b(a(a(b(a(b(?x_8))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(b(a(a(b(a(a(b(b(?x_6))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(b(a(a(b(?x_7))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_3)))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(?x_8))) = b(a(a(a(b(a(b(a(b(?x_8))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_6))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))), b(a(a(a(b(a(a(a(b(a(a(b(?x_1))))))))))))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],1)]>
Critical Pair <b(a(b(?x_2))), b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))> by Rules <2, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],2)]>
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_3))))))))), b(a(a(a(b(a(a(a(b(b(b(?x_3)))))))))))> by Rules <3, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],3)]>
Critical Pair <b(a(b(?x_4))), b(a(a(a(b(a(a(b(b(?x_4)))))))))> by Rules <4, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],4)]>
Critical Pair <b(a(b(?x_5))), b(a(a(a(b(b(a(a(b(?x_5)))))))))> by Rules <5, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],5)]>
Critical Pair <b(a(b(?x_6))), b(a(a(a(b(a(a(a(b(a(b(?x_6)))))))))))> by Rules <6, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], [([],2)]>
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],6)]>
Critical Pair <b(a(b(?x_7))), b(a(a(a(b(a(b(a(a(a(b(?x_7)))))))))))> by Rules <7, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],7)]>
 joinable by a reduction of rules <[([],0)], [([],6)]>
Critical Pair <b(a(a(a(b(a(a(b(a(a(a(b(?x)))))))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x))))))))))))))> by Rules <0, 1> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1),(b,1)],0)]>
Critical Pair <b(a(a(a(b(a(a(b(?x_2)))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))))))))> by Rules <2, 1> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1),(b,1)],2)]>
Critical Pair <b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_3)))))))))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3))))))))))))))))))> by Rules <3, 1> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1),(b,1)],3)]>
Critical Pair <b(a(a(a(b(?x_4))))), b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4)))))))))))))> by Rules <4, 1> preceded by [(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1)],3),([(b,1),(a,1),(a,1)],4),([],4)]>
Critical Pair <b(a(a(a(b(a(a(b(?x_4)))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4))))))))))))))))> by Rules <4, 1> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1),(b,1)],4)]>
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)],5)]>
Critical Pair <b(a(a(a(b(a(a(b(?x_5)))))))), b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_5))))))))))))))))> by Rules <5, 1> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1),(b,1)],5)]>
Critical Pair <b(a(a(a(b(a(a(b(?x_6)))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_6))))))))))))))))))> by Rules <6, 1> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1),(b,1)],6)]>
Critical Pair <b(a(a(a(b(a(a(b(?x_7)))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7))))))))))))))))))> by Rules <7, 1> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1),(b,1)],7)]>
Critical Pair <b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))), b(a(b(?x)))> by Rules <0, 2> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([(b,1),(a,1),(a,1),(a,1)],2)], [([],0)]>
 joinable by a reduction of rules <[([],2)], [([],0)]>
Critical Pair <b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))), b(a(a(b(?x_1))))> by Rules <1, 2> preceded by [(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1),([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)],5),([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1)],2),([(b,1),(a,1),(a,1)],4)], []>
Critical Pair <b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 2> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],2)], [([],1)]>
Critical Pair <b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))), b(b(b(?x_3)))> by Rules <3, 2> preceded by [(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],3),([(b,1),(b,1)],2)], []>
Critical Pair <b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 2> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],2)], [([],3)]>
Critical Pair <b(a(a(a(b(a(a(a(b(?x_4))))))))), b(a(a(b(b(?x_4)))))> by Rules <4, 2> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],2)], [([],4)]>
Critical Pair <b(a(a(a(b(a(a(a(b(?x_5))))))))), b(b(a(a(b(?x_5)))))> by Rules <5, 2> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],2)], [([],5)]>
Critical Pair <b(a(a(a(b(?x_6))))), b(a(b(?x_6)))> by Rules <6, 2> preceded by [(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], [([],0)]>
Critical Pair <b(a(a(a(b(a(a(a(b(?x_6))))))))), b(a(a(a(b(a(b(?x_6)))))))> by Rules <6, 2> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], [([(b,1),(a,1),(a,1),(a,1)],0)]>
 joinable by a reduction of rules <[([],2)], [([],6)]>
Critical Pair <b(a(a(a(b(a(a(a(b(?x_7))))))))), b(a(b(a(a(a(b(?x_7)))))))> by Rules <7, 2> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], [([],0)]>
 joinable by a reduction of rules <[([],2)], [([],7)]>
Critical Pair <b(a(a(a(b(b(b(a(a(a(b(?x))))))))))), b(b(b(a(a(a(b(a(b(?x)))))))))> by Rules <0, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(b,1)]
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1),(b,1),(a,1),(a,1),(a,1)],0)]>
Critical Pair <b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))), b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_1))))))))))))))> by Rules <1, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(b,1)]
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1),(b,1),(a,1),(a,1),(a,1)],1)]>
Critical Pair <b(a(a(a(b(b(b(?x_2))))))), b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))> by Rules <2, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(b,1)]
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1),(b,1),(a,1),(a,1),(a,1)],2)]>
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1)],2)]>
Critical Pair <b(a(a(a(b(b(b(?x_4))))))), b(b(b(a(a(a(b(a(a(b(b(?x_4)))))))))))> by Rules <4, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(b,1)]
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1),(b,1),(a,1),(a,1),(a,1)],4)]>
Critical Pair <b(a(a(a(b(b(?x_5)))))), b(b(b(a(a(a(b(a(a(b(?x_5))))))))))> by Rules <5, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[], [([(b,1),(b,1)],1),([(b,1)],5),([],5)]>
Critical Pair <b(a(a(a(b(b(b(?x_5))))))), b(b(b(a(a(a(b(b(a(a(b(?x_5)))))))))))> by Rules <5, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(b,1)]
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1),(b,1),(a,1),(a,1),(a,1)],5)]>
Critical Pair <b(a(a(a(b(b(b(?x_6))))))), b(b(b(a(a(a(b(a(a(a(b(a(b(?x_6)))))))))))))> by Rules <6, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(b,1)]
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1),(b,1),(a,1),(a,1),(a,1)],6)]>
Critical Pair <b(a(a(a(b(b(b(?x_7))))))), b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7)))))))))))))> by Rules <7, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(b,1)]
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1),(b,1),(a,1),(a,1),(a,1)],7)]>
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1)],6)]>
Critical Pair <b(a(a(b(b(a(a(a(b(?x))))))))), b(a(b(?x)))> by Rules <0, 4> preceded by [(b,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[([],4)], [([],0)]>
Critical Pair <b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 4> preceded by [(b,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[([(b,1),(a,1),(a,1)],5)], [([],1)]>
 joinable by a reduction of rules <[([],4)], [([],1)]>
Critical Pair <b(a(a(b(b(?x_2))))), b(a(a(a(b(a(a(a(b(?x_2)))))))))> by Rules <2, 4> preceded by [(b,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[([],4)], [([],2)]>
Critical Pair <b(a(a(b(b(b(b(a(a(a(b(?x_3))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 4> preceded by [(b,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[([],4)], [([],3)]>
Critical Pair <b(a(a(b(?x_5)))), b(a(a(b(?x_5))))> by Rules <5, 4> preceded by [(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(a(b(b(?x_5))))), b(b(a(a(b(?x_5)))))> by Rules <5, 4> preceded by [(b,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[([],4)], [([],5)]>
Critical Pair <b(a(a(b(b(?x_6))))), b(a(a(a(b(a(b(?x_6)))))))> by Rules <6, 4> preceded by [(b,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[([],4)], [([],6)]>
Critical Pair <b(a(a(b(b(?x_7))))), b(a(b(a(a(a(b(?x_7)))))))> by Rules <7, 4> preceded by [(b,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[([],4)], [([],7)]>
Critical Pair <b(b(a(a(b(a(a(a(b(?x))))))))), b(a(b(?x)))> by Rules <0, 5> preceded by [(b,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],5)], [([],0)]>
Critical Pair <b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 5> preceded by [(b,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],5)], [([],1)]>
Critical Pair <b(b(a(a(b(?x_2))))), b(a(a(a(b(a(a(a(b(?x_2)))))))))> by Rules <2, 5> preceded by [(b,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],5)], [([],2)]>
Critical Pair <b(b(a(a(b(b(b(a(a(a(b(?x_3))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 5> preceded by [(b,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([(b,1)],4)], [([],3)]>
 joinable by a reduction of rules <[([],5)], [([],3)]>
Critical Pair <b(b(?x_4)), b(b(?x_4))> by Rules <4, 5> preceded by [(b,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(b(a(a(b(?x_4))))), b(a(a(b(b(?x_4)))))> by Rules <4, 5> preceded by [(b,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],5)], [([],4)]>
Critical Pair <b(b(a(a(b(?x_6))))), b(a(a(a(b(a(b(?x_6)))))))> by Rules <6, 5> preceded by [(b,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],5)], [([],6)]>
Critical Pair <b(b(a(a(b(?x_7))))), b(a(b(a(a(a(b(?x_7)))))))> by Rules <7, 5> preceded by [(b,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],5)], [([],7)]>
Critical Pair <b(a(a(a(b(a(a(a(b(?x))))))))), b(?x)> by Rules <0, 6> preceded by [(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],2)], []>
Critical Pair <b(a(a(a(b(a(b(a(a(a(b(?x))))))))))), b(a(b(?x)))> by Rules <0, 6> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1)]
 joinable by a reduction of rules <[([(b,1),(a,1),(a,1),(a,1)],7)], [([],0)]>
 joinable by a reduction of rules <[([],6)], [([],0)]>
Critical Pair <b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 6> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1)]
 joinable by a reduction of rules <[([],6)], [([],1)]>
Critical Pair <b(a(a(a(b(a(b(?x_2))))))), b(a(a(a(b(a(a(a(b(?x_2)))))))))> by Rules <2, 6> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1)]
 joinable by a reduction of rules <[([(b,1),(a,1),(a,1),(a,1)],0)], []>
 joinable by a reduction of rules <[([],6)], [([],2)]>
Critical Pair <b(a(a(a(b(a(b(b(b(a(a(a(b(?x_3))))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 6> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1)]
 joinable by a reduction of rules <[([],6)], [([],3)]>
Critical Pair <b(a(a(a(b(a(b(?x_4))))))), b(a(a(b(b(?x_4)))))> by Rules <4, 6> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1)]
 joinable by a reduction of rules <[([],6)], [([],4)]>
Critical Pair <b(a(a(a(b(a(b(?x_5))))))), b(b(a(a(b(?x_5)))))> by Rules <5, 6> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1)]
 joinable by a reduction of rules <[([],6)], [([],5)]>
Critical Pair <b(a(a(a(b(?x_7))))), b(a(a(a(b(?x_7)))))> by Rules <7, 6> preceded by [(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(a(a(b(a(b(?x_7))))))), b(a(b(a(a(a(b(?x_7)))))))> by Rules <7, 6> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1)]
 joinable by a reduction of rules <[([(b,1),(a,1),(a,1),(a,1)],0)], [([],0)]>
 joinable by a reduction of rules <[([],6)], [([],7)]>
Critical Pair <b(a(b(a(a(a(b(a(a(a(b(?x))))))))))), b(a(b(?x)))> by Rules <0, 7> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([(b,1),(a,1)],2)], []>
 joinable by a reduction of rules <[([],7)], [([],0)]>
Critical Pair <b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))), b(a(a(b(?x_1))))> by Rules <1, 7> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0),([],1),([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)],5),([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1)],2),([(b,1),(a,1),(a,1)],4)], []>
Critical Pair <b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 7> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],7)], [([],1)]>
Critical Pair <b(a(b(?x_2))), b(a(a(a(b(?x_2)))))> by Rules <2, 7> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0)], []>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(a(a(a(b(a(a(a(b(?x_2)))))))))> by Rules <2, 7> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], []>
 joinable by a reduction of rules <[([],7)], [([],2)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_3))))))))), b(b(b(?x_3)))> by Rules <3, 7> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],0),([],3),([(b,1),(b,1)],2)], []>
Critical Pair <b(a(b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 7> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],7)], [([],3)]>
Critical Pair <b(a(b(a(a(a(b(?x_4))))))), b(a(a(b(b(?x_4)))))> by Rules <4, 7> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],7)], [([],4)]>
Critical Pair <b(a(b(a(a(a(b(?x_5))))))), b(b(a(a(b(?x_5)))))> by Rules <5, 7> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],7)], [([],5)]>
Critical Pair <b(a(b(?x_6))), b(a(b(?x_6)))> by Rules <6, 7> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_6))))))), b(a(a(a(b(a(b(?x_6)))))))> by Rules <6, 7> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],7)], [([],6)]>
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],0)]>
Critical Pair <b(a(b(a(a(a(b(?x))))))), b(a(a(a(b(a(b(?x)))))))> by Rules <0, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[([],7)], [([],6)]>
 joinable by a reduction of rules <[([],0)], [([(b,1),(a,1),(a,1),(a,1)],0)]>
Critical Pair <b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x)))))))))))))))))))> by Rules <1, 1> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],1)], [([(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1),(b,1)],1)]>
Critical Pair <b(a(a(a(b(?x))))), b(a(a(a(b(?x)))))> by Rules <2, 2> preceded by [(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(a(a(b(a(a(a(b(?x))))))))), b(a(a(a(b(a(a(a(b(?x)))))))))> by Rules <2, 2> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))), b(b(b(a(a(a(b(a(a(a(b(b(b(?x)))))))))))))> by Rules <3, 3> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(b,1)]
 joinable by a reduction of rules <[([],3)], [([(b,1),(b,1),(b,1),(a,1),(a,1),(a,1)],3)]>
Critical Pair <b(a(a(b(b(?x))))), b(a(a(b(b(?x)))))> by Rules <4, 4> preceded by [(b,1),(a,1),(a,1),(b,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(b(a(a(b(?x))))), b(b(a(a(b(?x)))))> by Rules <5, 5> preceded by [(b,1),(b,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(a(a(b(a(b(?x))))))), b(a(a(a(b(a(b(?x)))))))> by Rules <6, 6> preceded by [(b,1),(a,1),(a,1),(a,1),(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x))))))), b(a(b(a(a(a(b(?x)))))))> by Rules <7, 7> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(?x_7), b(a(a(a(b(a(a(a(b(?x_7)))))))))> by Rules <7, 0> preceded by []
 joinable by a reduction of rules <[], [([],2)]>
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (failure)
check by Interpretation(mod2) (failure)
check by Descendants-Approximation, check by Ordering(poly) (failure)
unknown Non-Confluence
unknown Huet (modulo AC)
check by Reduction-Preserving Completion...
STEP: 1 (parallel)
S:
   [ b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(a(b(a(a(a(b(?x))))))) -> b(?x) ]
P:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))) ]
P: not reversible
failure(Step 1)
STEP: 2 (linear)
S:
   [ b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(a(b(a(a(a(b(?x))))))) -> b(?x) ]
P:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))) ]
P: not reversible
failure(Step 2)
STEP: 3 (relative)
S:
   [ b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(a(b(a(a(a(b(?x))))))) -> b(?x) ]
P:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))) ]
P: not reversible
failure(Step 3)
failure(no possibility remains)
unknown Reduction-Preserving Completion
check by Ordered Rewriting...
remove redundants rules and split
R-part:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(a(b(a(a(a(b(?x))))))) -> b(?x) ]
E-part:
   [ ]
...failed to find a suitable LPO.
unknown Confluence by Ordered Rewriting
Direct Methods: Can't judge

Try Persistent Decomposition for...
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(a(b(a(a(a(b(?x))))))) -> b(?x) ]
Sort Assignment:
 a : 13=>13
 b : 13=>13
maximal types: {13}
Persistent Decomposition failed: Can't judge

Try Layer Preserving Decomposition for...
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(a(b(a(a(a(b(?x))))))) -> b(?x) ]
Layer Preserving Decomposition failed: Can't judge

Try Commutative Decomposition for...
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(a(b(a(a(a(b(?x))))))) -> b(?x) ]
Outside Critical Pair: <b(?x_7), b(a(a(a(b(a(a(a(b(?x_7)))))))))> by Rules <7, 0>
develop reducts from lhs term...
<{}, b(?x_7)>
develop reducts from rhs term...
<{2}, b(?x_7)>
<{}, b(a(a(a(b(a(a(a(b(?x_7)))))))))>
Inside Critical Pair: <b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))), b(a(a(a(b(a(a(a(b(a(a(b(?x_1))))))))))))> by Rules <1, 0>
develop reducts from lhs term...
<{0}, b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))>
<{}, b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))>
develop reducts from rhs term...
<{2}, b(a(a(b(?x_1))))>
<{1}, b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))>
<{}, b(a(a(a(b(a(a(a(b(a(a(b(?x_1))))))))))))>
Inside Critical Pair: <b(a(b(?x_2))), b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))> by Rules <2, 0>
develop reducts from lhs term...
<{0}, b(a(a(a(b(?x_2)))))>
<{}, b(a(b(?x_2)))>
develop reducts from rhs term...
<{2}, b(a(a(a(b(?x_2)))))>
<{}, b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))>
Inside Critical Pair: <b(a(b(b(b(a(a(a(b(?x_3))))))))), b(a(a(a(b(a(a(a(b(b(b(?x_3)))))))))))> by Rules <3, 0>
develop reducts from lhs term...
<{0}, b(a(a(a(b(b(b(a(a(a(b(?x_3)))))))))))>
<{}, b(a(b(b(b(a(a(a(b(?x_3)))))))))>
develop reducts from rhs term...
<{2}, b(b(b(?x_3)))>
<{3}, b(a(a(a(b(b(b(a(a(a(b(?x_3)))))))))))>
<{}, b(a(a(a(b(a(a(a(b(b(b(?x_3)))))))))))>
Inside Critical Pair: <b(a(b(?x_4))), b(a(a(a(b(a(a(b(b(?x_4)))))))))> by Rules <4, 0>
develop reducts from lhs term...
<{0}, b(a(a(a(b(?x_4)))))>
<{}, b(a(b(?x_4)))>
develop reducts from rhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4)))))))))))))>
<{4}, b(a(a(a(b(?x_4)))))>
<{}, b(a(a(a(b(a(a(b(b(?x_4)))))))))>
Inside Critical Pair: <b(a(b(?x_5))), b(a(a(a(b(b(a(a(b(?x_5)))))))))> by Rules <5, 0>
develop reducts from lhs term...
<{0}, b(a(a(a(b(?x_5)))))>
<{}, b(a(b(?x_5)))>
develop reducts from rhs term...
<{5}, b(a(a(a(b(?x_5)))))>
<{}, b(a(a(a(b(b(a(a(b(?x_5)))))))))>
Inside Critical Pair: <b(a(b(?x_6))), b(a(a(a(b(a(a(a(b(a(b(?x_6)))))))))))> by Rules <6, 0>
develop reducts from lhs term...
<{0}, b(a(a(a(b(?x_6)))))>
<{}, b(a(b(?x_6)))>
develop reducts from rhs term...
<{2}, b(a(b(?x_6)))>
<{6}, b(a(a(a(b(?x_6)))))>
<{0}, b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))>
<{}, b(a(a(a(b(a(a(a(b(a(b(?x_6)))))))))))>
Inside Critical Pair: <b(a(b(?x_7))), b(a(a(a(b(a(b(a(a(a(b(?x_7)))))))))))> by Rules <7, 0>
develop reducts from lhs term...
<{0}, b(a(a(a(b(?x_7)))))>
<{}, b(a(b(?x_7)))>
develop reducts from rhs term...
<{6}, b(a(a(a(b(?x_7)))))>
<{7}, b(a(a(a(b(?x_7)))))>
<{0}, b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))>
<{}, b(a(a(a(b(a(b(a(a(a(b(?x_7)))))))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(b(a(a(a(b(?x)))))))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x))))))))))))))> by Rules <0, 1>
develop reducts from lhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x))))))))))))))))>
<{}, b(a(a(a(b(a(a(b(a(a(a(b(?x))))))))))))>
develop reducts from rhs term...
<{0}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x))))))))))))))))>
<{}, b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(b(?x_2)))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))))))))> by Rules <2, 1>
develop reducts from lhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_2))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_2))))))))>
develop reducts from rhs term...
<{2}, b(a(a(b(a(a(b(a(a(a(b(b(?x_2))))))))))))>
<{}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_3)))))))))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3))))))))))))))))))> by Rules <3, 1>
develop reducts from lhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(b(b(a(a(a(b(?x_3))))))))))))))))))>
<{4}, b(a(a(a(b(b(a(a(a(b(?x_3))))))))))>
<{}, b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_3))))))))))))))>
develop reducts from rhs term...
<{3}, b(a(a(b(a(a(b(a(a(a(b(b(b(b(a(a(a(b(?x_3))))))))))))))))))>
<{}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3))))))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(?x_4))))), b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4)))))))))))))> by Rules <4, 1>
develop reducts from lhs term...
<{}, b(a(a(a(b(?x_4)))))>
develop reducts from rhs term...
<{3}, b(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))>
<{}, b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4)))))))))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(b(?x_4)))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4))))))))))))))))> by Rules <4, 1>
develop reducts from lhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_4))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_4))))))))>
develop reducts from rhs term...
<{5}, b(a(a(b(a(a(b(a(a(a(b(b(?x_4))))))))))))>
<{4}, b(a(a(b(a(a(b(a(a(a(b(b(?x_4))))))))))))>
<{}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4))))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(b(?x_5)))))))), b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_5))))))))))))))))> by Rules <5, 1>
develop reducts from lhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_5))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_5))))))))>
develop reducts from rhs term...
<{3}, b(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))>
<{5}, b(a(a(b(a(a(b(a(a(a(b(b(?x_5))))))))))))>
<{}, b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_5))))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(b(?x_6)))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_6))))))))))))))))))> by Rules <6, 1>
develop reducts from lhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_6))))))))>
develop reducts from rhs term...
<{6}, b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))>
<{0}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))))))))>
<{}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_6))))))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(b(?x_7)))))))), b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7))))))))))))))))))> by Rules <7, 1>
develop reducts from lhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_7))))))))>
develop reducts from rhs term...
<{7}, b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))>
<{0}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))>
<{}, b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7))))))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))), b(a(b(?x)))> by Rules <0, 2>
develop reducts from lhs term...
<{2}, b(a(a(a(b(?x)))))>
<{}, b(a(a(a(b(a(a(a(b(a(a(a(b(?x)))))))))))))>
develop reducts from rhs term...
<{0}, b(a(a(a(b(?x)))))>
<{}, b(a(b(?x)))>
Inside Critical Pair: <b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))), b(a(a(b(?x_1))))> by Rules <1, 2>
develop reducts from lhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))>
<{}, b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))>
develop reducts from rhs term...
<{}, b(a(a(b(?x_1))))>
Inside Critical Pair: <b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 2>
develop reducts from lhs term...
<{2}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{1}, b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))>
<{}, b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))>
develop reducts from rhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_1))))))))>
Inside Critical Pair: <b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))), b(b(b(?x_3)))> by Rules <3, 2>
develop reducts from lhs term...
<{3}, b(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))>
<{}, b(a(a(a(b(b(b(a(a(a(b(?x_3)))))))))))>
develop reducts from rhs term...
<{}, b(b(b(?x_3)))>
Inside Critical Pair: <b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 2>
develop reducts from lhs term...
<{2}, b(b(b(a(a(a(b(?x_3)))))))>
<{3}, b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))>
<{}, b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_3)))))))))))))))>
develop reducts from rhs term...
<{3}, b(b(b(a(a(a(b(?x_3)))))))>
<{}, b(a(a(a(b(b(b(?x_3)))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(a(b(?x_4))))))))), b(a(a(b(b(?x_4)))))> by Rules <4, 2>
develop reducts from lhs term...
<{2}, b(?x_4)>
<{}, b(a(a(a(b(a(a(a(b(?x_4)))))))))>
develop reducts from rhs term...
<{4}, b(?x_4)>
<{}, b(a(a(b(b(?x_4)))))>
Inside Critical Pair: <b(a(a(a(b(a(a(a(b(?x_5))))))))), b(b(a(a(b(?x_5)))))> by Rules <5, 2>
develop reducts from lhs term...
<{2}, b(?x_5)>
<{}, b(a(a(a(b(a(a(a(b(?x_5)))))))))>
develop reducts from rhs term...
<{5}, b(?x_5)>
<{}, b(b(a(a(b(?x_5)))))>
Inside Critical Pair: <b(a(a(a(b(?x_6))))), b(a(b(?x_6)))> by Rules <6, 2>
develop reducts from lhs term...
<{}, b(a(a(a(b(?x_6)))))>
develop reducts from rhs term...
<{0}, b(a(a(a(b(?x_6)))))>
<{}, b(a(b(?x_6)))>
Inside Critical Pair: <b(a(a(a(b(a(a(a(b(?x_6))))))))), b(a(a(a(b(a(b(?x_6)))))))> by Rules <6, 2>
develop reducts from lhs term...
<{2}, b(?x_6)>
<{}, b(a(a(a(b(a(a(a(b(?x_6)))))))))>
develop reducts from rhs term...
<{6}, b(?x_6)>
<{0}, b(a(a(a(b(a(a(a(b(?x_6)))))))))>
<{}, b(a(a(a(b(a(b(?x_6)))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(a(b(?x_7))))))))), b(a(b(a(a(a(b(?x_7)))))))> by Rules <7, 2>
develop reducts from lhs term...
<{2}, b(?x_7)>
<{}, b(a(a(a(b(a(a(a(b(?x_7)))))))))>
develop reducts from rhs term...
<{7}, b(?x_7)>
<{0}, b(a(a(a(b(a(a(a(b(?x_7)))))))))>
<{}, b(a(b(a(a(a(b(?x_7)))))))>
Inside Critical Pair: <b(a(a(a(b(b(b(a(a(a(b(?x))))))))))), b(b(b(a(a(a(b(a(b(?x)))))))))> by Rules <0, 3>
develop reducts from lhs term...
<{3}, b(b(b(a(a(a(b(a(a(a(b(?x)))))))))))>
<{}, b(a(a(a(b(b(b(a(a(a(b(?x)))))))))))>
develop reducts from rhs term...
<{6}, b(b(b(?x)))>
<{0}, b(b(b(a(a(a(b(a(a(a(b(?x)))))))))))>
<{}, b(b(b(a(a(a(b(a(b(?x)))))))))>
Inside Critical Pair: <b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))), b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_1))))))))))))))> by Rules <1, 3>
develop reducts from lhs term...
<{3}, b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))>
<{5}, b(a(a(a(b(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))>
<{}, b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))>
develop reducts from rhs term...
<{2}, b(b(b(a(a(b(?x_1))))))>
<{1}, b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))>
<{}, b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_1))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(b(b(?x_2))))))), b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))> by Rules <2, 3>
develop reducts from lhs term...
<{3}, b(b(b(a(a(a(b(?x_2)))))))>
<{}, b(a(a(a(b(b(b(?x_2)))))))>
develop reducts from rhs term...
<{2}, b(b(b(a(a(a(b(?x_2)))))))>
<{}, b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))>
Inside Critical Pair: <b(a(a(a(b(b(b(?x_4))))))), b(b(b(a(a(a(b(a(a(b(b(?x_4)))))))))))> by Rules <4, 3>
develop reducts from lhs term...
<{3}, b(b(b(a(a(a(b(?x_4)))))))>
<{}, b(a(a(a(b(b(b(?x_4)))))))>
develop reducts from rhs term...
<{1}, b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4)))))))))))))))>
<{4}, b(b(b(a(a(a(b(?x_4)))))))>
<{}, b(b(b(a(a(a(b(a(a(b(b(?x_4)))))))))))>
Inside Critical Pair: <b(a(a(a(b(b(?x_5)))))), b(b(b(a(a(a(b(a(a(b(?x_5))))))))))> by Rules <5, 3>
develop reducts from lhs term...
<{}, b(a(a(a(b(b(?x_5))))))>
develop reducts from rhs term...
<{1}, b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5))))))))))))))>
<{}, b(b(b(a(a(a(b(a(a(b(?x_5))))))))))>
Inside Critical Pair: <b(a(a(a(b(b(b(?x_5))))))), b(b(b(a(a(a(b(b(a(a(b(?x_5)))))))))))> by Rules <5, 3>
develop reducts from lhs term...
<{3}, b(b(b(a(a(a(b(?x_5)))))))>
<{}, b(a(a(a(b(b(b(?x_5)))))))>
develop reducts from rhs term...
<{5}, b(b(b(a(a(a(b(?x_5)))))))>
<{}, b(b(b(a(a(a(b(b(a(a(b(?x_5)))))))))))>
Inside Critical Pair: <b(a(a(a(b(b(b(?x_6))))))), b(b(b(a(a(a(b(a(a(a(b(a(b(?x_6)))))))))))))> by Rules <6, 3>
develop reducts from lhs term...
<{3}, b(b(b(a(a(a(b(?x_6)))))))>
<{}, b(a(a(a(b(b(b(?x_6)))))))>
develop reducts from rhs term...
<{2}, b(b(b(a(b(?x_6)))))>
<{6}, b(b(b(a(a(a(b(?x_6)))))))>
<{0}, b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))>
<{}, b(b(b(a(a(a(b(a(a(a(b(a(b(?x_6)))))))))))))>
Inside Critical Pair: <b(a(a(a(b(b(b(?x_7))))))), b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7)))))))))))))> by Rules <7, 3>
develop reducts from lhs term...
<{3}, b(b(b(a(a(a(b(?x_7)))))))>
<{}, b(a(a(a(b(b(b(?x_7)))))))>
develop reducts from rhs term...
<{6}, b(b(b(a(a(a(b(?x_7)))))))>
<{7}, b(b(b(a(a(a(b(?x_7)))))))>
<{0}, b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))>
<{}, b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7)))))))))))))>
Inside Critical Pair: <b(a(a(b(b(a(a(a(b(?x))))))))), b(a(b(?x)))> by Rules <0, 4>
develop reducts from lhs term...
<{4}, b(a(a(a(b(?x)))))>
<{}, b(a(a(b(b(a(a(a(b(?x)))))))))>
develop reducts from rhs term...
<{0}, b(a(a(a(b(?x)))))>
<{}, b(a(b(?x)))>
Inside Critical Pair: <b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 4>
develop reducts from lhs term...
<{4}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{5}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{}, b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))>
develop reducts from rhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_1))))))))>
Inside Critical Pair: <b(a(a(b(b(?x_2))))), b(a(a(a(b(a(a(a(b(?x_2)))))))))> by Rules <2, 4>
develop reducts from lhs term...
<{4}, b(?x_2)>
<{}, b(a(a(b(b(?x_2)))))>
develop reducts from rhs term...
<{2}, b(?x_2)>
<{}, b(a(a(a(b(a(a(a(b(?x_2)))))))))>
Inside Critical Pair: <b(a(a(b(b(b(b(a(a(a(b(?x_3))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 4>
develop reducts from lhs term...
<{4}, b(b(b(a(a(a(b(?x_3)))))))>
<{}, b(a(a(b(b(b(b(a(a(a(b(?x_3)))))))))))>
develop reducts from rhs term...
<{3}, b(b(b(a(a(a(b(?x_3)))))))>
<{}, b(a(a(a(b(b(b(?x_3)))))))>
Inside Critical Pair: <b(a(a(b(?x_5)))), b(a(a(b(?x_5))))> by Rules <5, 4>
develop reducts from lhs term...
<{}, b(a(a(b(?x_5))))>
develop reducts from rhs term...
<{}, b(a(a(b(?x_5))))>
Inside Critical Pair: <b(a(a(b(b(?x_5))))), b(b(a(a(b(?x_5)))))> by Rules <5, 4>
develop reducts from lhs term...
<{4}, b(?x_5)>
<{}, b(a(a(b(b(?x_5)))))>
develop reducts from rhs term...
<{5}, b(?x_5)>
<{}, b(b(a(a(b(?x_5)))))>
Inside Critical Pair: <b(a(a(b(b(?x_6))))), b(a(a(a(b(a(b(?x_6)))))))> by Rules <6, 4>
develop reducts from lhs term...
<{4}, b(?x_6)>
<{}, b(a(a(b(b(?x_6)))))>
develop reducts from rhs term...
<{6}, b(?x_6)>
<{0}, b(a(a(a(b(a(a(a(b(?x_6)))))))))>
<{}, b(a(a(a(b(a(b(?x_6)))))))>
Inside Critical Pair: <b(a(a(b(b(?x_7))))), b(a(b(a(a(a(b(?x_7)))))))> by Rules <7, 4>
develop reducts from lhs term...
<{4}, b(?x_7)>
<{}, b(a(a(b(b(?x_7)))))>
develop reducts from rhs term...
<{7}, b(?x_7)>
<{0}, b(a(a(a(b(a(a(a(b(?x_7)))))))))>
<{}, b(a(b(a(a(a(b(?x_7)))))))>
Inside Critical Pair: <b(b(a(a(b(a(a(a(b(?x))))))))), b(a(b(?x)))> by Rules <0, 5>
develop reducts from lhs term...
<{5}, b(a(a(a(b(?x)))))>
<{}, b(b(a(a(b(a(a(a(b(?x)))))))))>
develop reducts from rhs term...
<{0}, b(a(a(a(b(?x)))))>
<{}, b(a(b(?x)))>
Inside Critical Pair: <b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 5>
develop reducts from lhs term...
<{5}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{}, b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))>
develop reducts from rhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_1))))))))>
Inside Critical Pair: <b(b(a(a(b(?x_2))))), b(a(a(a(b(a(a(a(b(?x_2)))))))))> by Rules <2, 5>
develop reducts from lhs term...
<{5}, b(?x_2)>
<{}, b(b(a(a(b(?x_2)))))>
develop reducts from rhs term...
<{2}, b(?x_2)>
<{}, b(a(a(a(b(a(a(a(b(?x_2)))))))))>
Inside Critical Pair: <b(b(a(a(b(b(b(a(a(a(b(?x_3))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 5>
develop reducts from lhs term...
<{5}, b(b(b(a(a(a(b(?x_3)))))))>
<{4}, b(b(b(a(a(a(b(?x_3)))))))>
<{}, b(b(a(a(b(b(b(a(a(a(b(?x_3)))))))))))>
develop reducts from rhs term...
<{3}, b(b(b(a(a(a(b(?x_3)))))))>
<{}, b(a(a(a(b(b(b(?x_3)))))))>
Inside Critical Pair: <b(b(?x_4)), b(b(?x_4))> by Rules <4, 5>
develop reducts from lhs term...
<{}, b(b(?x_4))>
develop reducts from rhs term...
<{}, b(b(?x_4))>
Inside Critical Pair: <b(b(a(a(b(?x_4))))), b(a(a(b(b(?x_4)))))> by Rules <4, 5>
develop reducts from lhs term...
<{5}, b(?x_4)>
<{}, b(b(a(a(b(?x_4)))))>
develop reducts from rhs term...
<{4}, b(?x_4)>
<{}, b(a(a(b(b(?x_4)))))>
Inside Critical Pair: <b(b(a(a(b(?x_6))))), b(a(a(a(b(a(b(?x_6)))))))> by Rules <6, 5>
develop reducts from lhs term...
<{5}, b(?x_6)>
<{}, b(b(a(a(b(?x_6)))))>
develop reducts from rhs term...
<{6}, b(?x_6)>
<{0}, b(a(a(a(b(a(a(a(b(?x_6)))))))))>
<{}, b(a(a(a(b(a(b(?x_6)))))))>
Inside Critical Pair: <b(b(a(a(b(?x_7))))), b(a(b(a(a(a(b(?x_7)))))))> by Rules <7, 5>
develop reducts from lhs term...
<{5}, b(?x_7)>
<{}, b(b(a(a(b(?x_7)))))>
develop reducts from rhs term...
<{7}, b(?x_7)>
<{0}, b(a(a(a(b(a(a(a(b(?x_7)))))))))>
<{}, b(a(b(a(a(a(b(?x_7)))))))>
Inside Critical Pair: <b(a(a(a(b(a(a(a(b(?x))))))))), b(?x)> by Rules <0, 6>
develop reducts from lhs term...
<{2}, b(?x)>
<{}, b(a(a(a(b(a(a(a(b(?x)))))))))>
develop reducts from rhs term...
<{}, b(?x)>
Inside Critical Pair: <b(a(a(a(b(a(b(a(a(a(b(?x))))))))))), b(a(b(?x)))> by Rules <0, 6>
develop reducts from lhs term...
<{6}, b(a(a(a(b(?x)))))>
<{7}, b(a(a(a(b(?x)))))>
<{0}, b(a(a(a(b(a(a(a(b(a(a(a(b(?x)))))))))))))>
<{}, b(a(a(a(b(a(b(a(a(a(b(?x)))))))))))>
develop reducts from rhs term...
<{0}, b(a(a(a(b(?x)))))>
<{}, b(a(b(?x)))>
Inside Critical Pair: <b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 6>
develop reducts from lhs term...
<{6}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{0}, b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))>
<{}, b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))>
develop reducts from rhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_1))))))))>
Inside Critical Pair: <b(a(a(a(b(a(b(?x_2))))))), b(a(a(a(b(a(a(a(b(?x_2)))))))))> by Rules <2, 6>
develop reducts from lhs term...
<{6}, b(?x_2)>
<{0}, b(a(a(a(b(a(a(a(b(?x_2)))))))))>
<{}, b(a(a(a(b(a(b(?x_2)))))))>
develop reducts from rhs term...
<{2}, b(?x_2)>
<{}, b(a(a(a(b(a(a(a(b(?x_2)))))))))>
Inside Critical Pair: <b(a(a(a(b(a(b(b(b(a(a(a(b(?x_3))))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 6>
develop reducts from lhs term...
<{6}, b(b(b(a(a(a(b(?x_3)))))))>
<{0}, b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_3)))))))))))))))>
<{}, b(a(a(a(b(a(b(b(b(a(a(a(b(?x_3)))))))))))))>
develop reducts from rhs term...
<{3}, b(b(b(a(a(a(b(?x_3)))))))>
<{}, b(a(a(a(b(b(b(?x_3)))))))>
Inside Critical Pair: <b(a(a(a(b(a(b(?x_4))))))), b(a(a(b(b(?x_4)))))> by Rules <4, 6>
develop reducts from lhs term...
<{6}, b(?x_4)>
<{0}, b(a(a(a(b(a(a(a(b(?x_4)))))))))>
<{}, b(a(a(a(b(a(b(?x_4)))))))>
develop reducts from rhs term...
<{4}, b(?x_4)>
<{}, b(a(a(b(b(?x_4)))))>
Inside Critical Pair: <b(a(a(a(b(a(b(?x_5))))))), b(b(a(a(b(?x_5)))))> by Rules <5, 6>
develop reducts from lhs term...
<{6}, b(?x_5)>
<{0}, b(a(a(a(b(a(a(a(b(?x_5)))))))))>
<{}, b(a(a(a(b(a(b(?x_5)))))))>
develop reducts from rhs term...
<{5}, b(?x_5)>
<{}, b(b(a(a(b(?x_5)))))>
Inside Critical Pair: <b(a(a(a(b(?x_7))))), b(a(a(a(b(?x_7)))))> by Rules <7, 6>
develop reducts from lhs term...
<{}, b(a(a(a(b(?x_7)))))>
develop reducts from rhs term...
<{}, b(a(a(a(b(?x_7)))))>
Inside Critical Pair: <b(a(a(a(b(a(b(?x_7))))))), b(a(b(a(a(a(b(?x_7)))))))> by Rules <7, 6>
develop reducts from lhs term...
<{6}, b(?x_7)>
<{0}, b(a(a(a(b(a(a(a(b(?x_7)))))))))>
<{}, b(a(a(a(b(a(b(?x_7)))))))>
develop reducts from rhs term...
<{7}, b(?x_7)>
<{0}, b(a(a(a(b(a(a(a(b(?x_7)))))))))>
<{}, b(a(b(a(a(a(b(?x_7)))))))>
Inside Critical Pair: <b(a(b(a(a(a(b(a(a(a(b(?x))))))))))), b(a(b(?x)))> by Rules <0, 7>
develop reducts from lhs term...
<{7}, b(a(a(a(b(?x)))))>
<{0}, b(a(a(a(b(a(a(a(b(a(a(a(b(?x)))))))))))))>
<{2}, b(a(b(?x)))>
<{}, b(a(b(a(a(a(b(a(a(a(b(?x)))))))))))>
develop reducts from rhs term...
<{0}, b(a(a(a(b(?x)))))>
<{}, b(a(b(?x)))>
Inside Critical Pair: <b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))), b(a(a(b(?x_1))))> by Rules <1, 7>
develop reducts from lhs term...
<{0}, b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))>
<{}, b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))>
develop reducts from rhs term...
<{}, b(a(a(b(?x_1))))>
Inside Critical Pair: <b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))), b(a(a(a(b(a(a(b(?x_1))))))))> by Rules <1, 7>
develop reducts from lhs term...
<{7}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{0}, b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))>
<{1}, b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))>
<{}, b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))>
develop reducts from rhs term...
<{1}, b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))>
<{}, b(a(a(a(b(a(a(b(?x_1))))))))>
Inside Critical Pair: <b(a(b(?x_2))), b(a(a(a(b(?x_2)))))> by Rules <2, 7>
develop reducts from lhs term...
<{0}, b(a(a(a(b(?x_2)))))>
<{}, b(a(b(?x_2)))>
develop reducts from rhs term...
<{}, b(a(a(a(b(?x_2)))))>
Inside Critical Pair: <b(a(b(a(a(a(b(?x_2))))))), b(a(a(a(b(a(a(a(b(?x_2)))))))))> by Rules <2, 7>
develop reducts from lhs term...
<{7}, b(?x_2)>
<{0}, b(a(a(a(b(a(a(a(b(?x_2)))))))))>
<{}, b(a(b(a(a(a(b(?x_2)))))))>
develop reducts from rhs term...
<{2}, b(?x_2)>
<{}, b(a(a(a(b(a(a(a(b(?x_2)))))))))>
Inside Critical Pair: <b(a(b(b(b(a(a(a(b(?x_3))))))))), b(b(b(?x_3)))> by Rules <3, 7>
develop reducts from lhs term...
<{0}, b(a(a(a(b(b(b(a(a(a(b(?x_3)))))))))))>
<{}, b(a(b(b(b(a(a(a(b(?x_3)))))))))>
develop reducts from rhs term...
<{}, b(b(b(?x_3)))>
Inside Critical Pair: <b(a(b(a(a(a(b(b(b(a(a(a(b(?x_3))))))))))))), b(a(a(a(b(b(b(?x_3)))))))> by Rules <3, 7>
develop reducts from lhs term...
<{7}, b(b(b(a(a(a(b(?x_3)))))))>
<{0}, b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_3)))))))))))))))>
<{3}, b(a(b(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))>
<{}, b(a(b(a(a(a(b(b(b(a(a(a(b(?x_3)))))))))))))>
develop reducts from rhs term...
<{3}, b(b(b(a(a(a(b(?x_3)))))))>
<{}, b(a(a(a(b(b(b(?x_3)))))))>
Inside Critical Pair: <b(a(b(a(a(a(b(?x_4))))))), b(a(a(b(b(?x_4)))))> by Rules <4, 7>
develop reducts from lhs term...
<{7}, b(?x_4)>
<{0}, b(a(a(a(b(a(a(a(b(?x_4)))))))))>
<{}, b(a(b(a(a(a(b(?x_4)))))))>
develop reducts from rhs term...
<{4}, b(?x_4)>
<{}, b(a(a(b(b(?x_4)))))>
Inside Critical Pair: <b(a(b(a(a(a(b(?x_5))))))), b(b(a(a(b(?x_5)))))> by Rules <5, 7>
develop reducts from lhs term...
<{7}, b(?x_5)>
<{0}, b(a(a(a(b(a(a(a(b(?x_5)))))))))>
<{}, b(a(b(a(a(a(b(?x_5)))))))>
develop reducts from rhs term...
<{5}, b(?x_5)>
<{}, b(b(a(a(b(?x_5)))))>
Inside Critical Pair: <b(a(b(?x_6))), b(a(b(?x_6)))> by Rules <6, 7>
develop reducts from lhs term...
<{0}, b(a(a(a(b(?x_6)))))>
<{}, b(a(b(?x_6)))>
develop reducts from rhs term...
<{0}, b(a(a(a(b(?x_6)))))>
<{}, b(a(b(?x_6)))>
Inside Critical Pair: <b(a(b(a(a(a(b(?x_6))))))), b(a(a(a(b(a(b(?x_6)))))))> by Rules <6, 7>
develop reducts from lhs term...
<{7}, b(?x_6)>
<{0}, b(a(a(a(b(a(a(a(b(?x_6)))))))))>
<{}, b(a(b(a(a(a(b(?x_6)))))))>
develop reducts from rhs term...
<{6}, b(?x_6)>
<{0}, b(a(a(a(b(a(a(a(b(?x_6)))))))))>
<{}, b(a(a(a(b(a(b(?x_6)))))))>
Try A Minimal Decomposition {7,6,5,4,3,1,2}{0}
{7,6,5,4,3,1,2}
(cm)Rewrite Rules:
   [ b(a(b(a(a(a(b(?x))))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(?x_1))) = b(a(b(?x_1))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(b(?x_4))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))) = b(a(a(b(?x_5)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(?x_6))) = b(a(a(a(b(?x_6))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(b(a(a(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(b(?x_3)) = b(b(?x_3)),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(?x_3))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(?x_2)))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(?x_2))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x_1))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(b(?x_2)))))) = b(b(b(a(a(a(b(a(a(b(?x_2)))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_1)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(?x_1))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(b(?x_5)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(a(b(?x_2))) = b(a(b(?x_2))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(?x_6)))),
     b(a(b(?x_7))) = b(a(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(?x_2))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_2))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(?x_3))) = b(a(b(b(a(a(b(?x_3))))))),
     b(a(b(?x_4))) = b(a(b(a(a(b(b(?x_4))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(b(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(b(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(b(?x_4)) = b(b(a(a(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(?x_4)) = b(a(b(a(a(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_1)))) = b(a(a(b(b(a(a(b(?x_1)))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(a(b(a(a(a(b(?x_2)))))))))),
     b(a(a(b(?x_3)))) = b(a(a(b(a(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(b(b(?x_4)))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(b(?x_4)) = b(a(a(b(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_1)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_1)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_2)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_3)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_4)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))),
     b(b(b(a(a(a(b(b(?x_4)))))))) = b(a(a(a(b(b(b(b(?x_4)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(a(a(b(b(?x_4)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(b(?x)))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(?x_4))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_2)) = b(b(a(b(a(a(a(b(?x_2)))))))),
     b(b(?x_3)) = b(b(a(a(a(b(a(b(?x_3)))))))),
     b(b(?x_4)) = b(b(b(a(a(b(?x_4)))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))) = b(b(a(a(a(b(a(a(b(?x_6))))))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(a(a(b(?x_7)))))))))),
     b(a(a(b(?x_4)))) = b(b(a(a(b(a(a(b(?x_4)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_4))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_4)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(b(?x_4)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(?x_2))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(b(?x_3))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_4))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(?x_2))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(b(b(?x_3))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(?x_3))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(b(?x_6))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(?x_7)))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(b(b(a(a(b(?x_4))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(a(b(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(b(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(b(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(b(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(b(?x_3))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_6))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_7)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_6)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_6)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(?x_1))), b(a(b(?x_1)))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_1))))))), b(a(a(a(b(a(b(?x_1)))))))> by Rules <1, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],1)]>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(b(a(a(b(?x_2)))))> by Rules <2, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(a(a(a(b(?x_3))))))), b(a(a(b(b(?x_3)))))> by Rules <3, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],3)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_4))))))))), b(b(b(?x_4)))> by Rules <4, 0> preceded by [(b,1),(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
 (success)
 (success)
 (success)
 (success)
 (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <b(a(a(a(b(c_1))))) <- b(a(a(a(b(a(a(a(b(a(b(c_1))))))))))) -> b(a(b(c_1)))>
Direct Methods: not CR
{0}
(cm)Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR
Try A Minimal Decomposition {7,6,5,4,3,1,2}{0}
{7,6,5,4,3,1,2}
(cm)Rewrite Rules:
   [ b(a(b(a(a(a(b(?x))))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(?x_1))) = b(a(b(?x_1))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(b(?x_4))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))) = b(a(a(b(?x_5)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(?x_6))) = b(a(a(a(b(?x_6))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(b(a(a(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(b(?x_3)) = b(b(?x_3)),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(?x_3))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(?x_2)))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(?x_2))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x_1))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(b(?x_2)))))) = b(b(b(a(a(a(b(a(a(b(?x_2)))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_1)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(?x_1))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(b(?x_5)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(a(b(?x_2))) = b(a(b(?x_2))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(?x_6)))),
     b(a(b(?x_7))) = b(a(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(?x_2))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_2))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(?x_3))) = b(a(b(b(a(a(b(?x_3))))))),
     b(a(b(?x_4))) = b(a(b(a(a(b(b(?x_4))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(b(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(b(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(b(?x_4)) = b(b(a(a(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(?x_4)) = b(a(b(a(a(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_1)))) = b(a(a(b(b(a(a(b(?x_1)))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(a(b(a(a(a(b(?x_2)))))))))),
     b(a(a(b(?x_3)))) = b(a(a(b(a(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(b(b(?x_4)))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(b(?x_4)) = b(a(a(b(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_1)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_1)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_2)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_3)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_4)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))),
     b(b(b(a(a(a(b(b(?x_4)))))))) = b(a(a(a(b(b(b(b(?x_4)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(a(a(b(b(?x_4)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(b(?x)))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(?x_4))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_2)) = b(b(a(b(a(a(a(b(?x_2)))))))),
     b(b(?x_3)) = b(b(a(a(a(b(a(b(?x_3)))))))),
     b(b(?x_4)) = b(b(b(a(a(b(?x_4)))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))) = b(b(a(a(a(b(a(a(b(?x_6))))))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(a(a(b(?x_7)))))))))),
     b(a(a(b(?x_4)))) = b(b(a(a(b(a(a(b(?x_4)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_4))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_4)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(b(?x_4)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(?x_2))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(b(?x_3))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_4))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(?x_2))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(b(b(?x_3))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(?x_3))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(b(?x_6))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(?x_7)))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(b(b(a(a(b(?x_4))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(a(b(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(b(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(b(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(b(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(b(?x_3))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_6))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_7)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_6)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_6)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(?x_1))), b(a(b(?x_1)))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_1))))))), b(a(a(a(b(a(b(?x_1)))))))> by Rules <1, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],1)]>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(b(a(a(b(?x_2)))))> by Rules <2, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(a(a(a(b(?x_3))))))), b(a(a(b(b(?x_3)))))> by Rules <3, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],3)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_4))))))))), b(b(b(?x_4)))> by Rules <4, 0> preceded by [(b,1),(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
 (success)
 (success)
 (success)
 (success)
 (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <b(a(a(a(b(c_1))))) <- b(a(a(a(b(a(a(a(b(a(b(c_1))))))))))) -> b(a(b(c_1)))>
Direct Methods: not CR
{0}
(cm)Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR
Try A Minimal Decomposition {7,6,5,4,3,1,2}{0}
{7,6,5,4,3,1,2}
(cm)Rewrite Rules:
   [ b(a(b(a(a(a(b(?x))))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(?x_1))) = b(a(b(?x_1))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(b(?x_4))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))) = b(a(a(b(?x_5)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(?x_6))) = b(a(a(a(b(?x_6))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(b(a(a(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(b(?x_3)) = b(b(?x_3)),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(?x_3))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(?x_2)))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(?x_2))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x_1))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(b(?x_2)))))) = b(b(b(a(a(a(b(a(a(b(?x_2)))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_1)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(?x_1))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(b(?x_5)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(a(b(?x_2))) = b(a(b(?x_2))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(?x_6)))),
     b(a(b(?x_7))) = b(a(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(?x_2))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_2))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(?x_3))) = b(a(b(b(a(a(b(?x_3))))))),
     b(a(b(?x_4))) = b(a(b(a(a(b(b(?x_4))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(b(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(b(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(b(?x_4)) = b(b(a(a(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(?x_4)) = b(a(b(a(a(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_1)))) = b(a(a(b(b(a(a(b(?x_1)))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(a(b(a(a(a(b(?x_2)))))))))),
     b(a(a(b(?x_3)))) = b(a(a(b(a(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(b(b(?x_4)))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(b(?x_4)) = b(a(a(b(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_1)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_1)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_2)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_3)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_4)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))),
     b(b(b(a(a(a(b(b(?x_4)))))))) = b(a(a(a(b(b(b(b(?x_4)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(a(a(b(b(?x_4)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(b(?x)))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(?x_4))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_2)) = b(b(a(b(a(a(a(b(?x_2)))))))),
     b(b(?x_3)) = b(b(a(a(a(b(a(b(?x_3)))))))),
     b(b(?x_4)) = b(b(b(a(a(b(?x_4)))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))) = b(b(a(a(a(b(a(a(b(?x_6))))))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(a(a(b(?x_7)))))))))),
     b(a(a(b(?x_4)))) = b(b(a(a(b(a(a(b(?x_4)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_4))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_4)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(b(?x_4)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(?x_2))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(b(?x_3))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_4))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(?x_2))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(b(b(?x_3))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(?x_3))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(b(?x_6))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(?x_7)))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(b(b(a(a(b(?x_4))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(a(b(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(b(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(b(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(b(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(b(?x_3))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_6))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_7)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_6)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_6)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(?x_1))), b(a(b(?x_1)))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_1))))))), b(a(a(a(b(a(b(?x_1)))))))> by Rules <1, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],1)]>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(b(a(a(b(?x_2)))))> by Rules <2, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(a(a(a(b(?x_3))))))), b(a(a(b(b(?x_3)))))> by Rules <3, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],3)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_4))))))))), b(b(b(?x_4)))> by Rules <4, 0> preceded by [(b,1),(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
 (success)
 (success)
 (success)
 (success)
 (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <b(a(a(a(b(c_1))))) <- b(a(a(a(b(a(a(a(b(a(b(c_1))))))))))) -> b(a(b(c_1)))>
Direct Methods: not CR
{0}
(cm)Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR
Try A Minimal Decomposition {7,6,5,4,3,1,2}{0}
{7,6,5,4,3,1,2}
(cm)Rewrite Rules:
   [ b(a(b(a(a(a(b(?x))))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(?x_1))) = b(a(b(?x_1))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(b(?x_4))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))) = b(a(a(b(?x_5)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(?x_6))) = b(a(a(a(b(?x_6))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(b(a(a(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(b(?x_3)) = b(b(?x_3)),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(?x_3))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(?x_2)))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(?x_2))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x_1))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(b(?x_2)))))) = b(b(b(a(a(a(b(a(a(b(?x_2)))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_1)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(?x_1))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(b(?x_5)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(a(b(?x_2))) = b(a(b(?x_2))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(?x_6)))),
     b(a(b(?x_7))) = b(a(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(?x_2))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_2))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(?x_3))) = b(a(b(b(a(a(b(?x_3))))))),
     b(a(b(?x_4))) = b(a(b(a(a(b(b(?x_4))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(b(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(b(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(b(?x_4)) = b(b(a(a(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(?x_4)) = b(a(b(a(a(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_1)))) = b(a(a(b(b(a(a(b(?x_1)))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(a(b(a(a(a(b(?x_2)))))))))),
     b(a(a(b(?x_3)))) = b(a(a(b(a(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(b(b(?x_4)))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(b(?x_4)) = b(a(a(b(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_1)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_1)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_2)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_3)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_4)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))),
     b(b(b(a(a(a(b(b(?x_4)))))))) = b(a(a(a(b(b(b(b(?x_4)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(a(a(b(b(?x_4)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(b(?x)))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(?x_4))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_2)) = b(b(a(b(a(a(a(b(?x_2)))))))),
     b(b(?x_3)) = b(b(a(a(a(b(a(b(?x_3)))))))),
     b(b(?x_4)) = b(b(b(a(a(b(?x_4)))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))) = b(b(a(a(a(b(a(a(b(?x_6))))))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(a(a(b(?x_7)))))))))),
     b(a(a(b(?x_4)))) = b(b(a(a(b(a(a(b(?x_4)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_4))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_4)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(b(?x_4)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(?x_2))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(b(?x_3))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_4))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(?x_2))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(b(b(?x_3))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(?x_3))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(b(?x_6))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(?x_7)))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(b(b(a(a(b(?x_4))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(a(b(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(b(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(b(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(b(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(b(?x_3))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_6))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_7)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_6)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_6)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(?x_1))), b(a(b(?x_1)))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_1))))))), b(a(a(a(b(a(b(?x_1)))))))> by Rules <1, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],1)]>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(b(a(a(b(?x_2)))))> by Rules <2, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(a(a(a(b(?x_3))))))), b(a(a(b(b(?x_3)))))> by Rules <3, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],3)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_4))))))))), b(b(b(?x_4)))> by Rules <4, 0> preceded by [(b,1),(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
 (success)
 (success)
 (success)
 (success)
 (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <b(a(a(a(b(c_1))))) <- b(a(a(a(b(a(a(a(b(a(b(c_1))))))))))) -> b(a(b(c_1)))>
Direct Methods: not CR
{0}
(cm)Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR
Try A Minimal Decomposition {7,6,5,4,3,1,2}{0}
{7,6,5,4,3,1,2}
(cm)Rewrite Rules:
   [ b(a(b(a(a(a(b(?x))))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(?x_1))) = b(a(b(?x_1))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(b(?x_4))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))) = b(a(a(b(?x_5)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(?x_6))) = b(a(a(a(b(?x_6))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(b(a(a(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(b(?x_3)) = b(b(?x_3)),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(?x_3))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(?x_2)))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(?x_2))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x_1))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(b(?x_2)))))) = b(b(b(a(a(a(b(a(a(b(?x_2)))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_1)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(?x_1))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(b(?x_5)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(a(b(?x_2))) = b(a(b(?x_2))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(?x_6)))),
     b(a(b(?x_7))) = b(a(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(?x_2))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_2))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(?x_3))) = b(a(b(b(a(a(b(?x_3))))))),
     b(a(b(?x_4))) = b(a(b(a(a(b(b(?x_4))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(b(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(b(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(b(?x_4)) = b(b(a(a(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(?x_4)) = b(a(b(a(a(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_1)))) = b(a(a(b(b(a(a(b(?x_1)))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(a(b(a(a(a(b(?x_2)))))))))),
     b(a(a(b(?x_3)))) = b(a(a(b(a(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(b(b(?x_4)))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(b(?x_4)) = b(a(a(b(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_1)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_1)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_2)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_3)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_4)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))),
     b(b(b(a(a(a(b(b(?x_4)))))))) = b(a(a(a(b(b(b(b(?x_4)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(a(a(b(b(?x_4)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(b(?x)))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(?x_4))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_2)) = b(b(a(b(a(a(a(b(?x_2)))))))),
     b(b(?x_3)) = b(b(a(a(a(b(a(b(?x_3)))))))),
     b(b(?x_4)) = b(b(b(a(a(b(?x_4)))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))) = b(b(a(a(a(b(a(a(b(?x_6))))))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(a(a(b(?x_7)))))))))),
     b(a(a(b(?x_4)))) = b(b(a(a(b(a(a(b(?x_4)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_4))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_4)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(b(?x_4)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(?x_2))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(b(?x_3))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_4))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(?x_2))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(b(b(?x_3))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(?x_3))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(b(?x_6))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(?x_7)))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(b(b(a(a(b(?x_4))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(a(b(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(b(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(b(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(b(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(b(?x_3))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_6))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_7)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_6)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_6)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(?x_1))), b(a(b(?x_1)))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_1))))))), b(a(a(a(b(a(b(?x_1)))))))> by Rules <1, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],1)]>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(b(a(a(b(?x_2)))))> by Rules <2, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(a(a(a(b(?x_3))))))), b(a(a(b(b(?x_3)))))> by Rules <3, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],3)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_4))))))))), b(b(b(?x_4)))> by Rules <4, 0> preceded by [(b,1),(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
 (success)
 (success)
 (success)
 (success)
 (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <b(a(a(a(b(c_1))))) <- b(a(a(a(b(a(a(a(b(a(b(c_1))))))))))) -> b(a(b(c_1)))>
Direct Methods: not CR
{0}
(cm)Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR
Try A Minimal Decomposition {7,6,5,4,3,1,2}{0}
{7,6,5,4,3,1,2}
(cm)Rewrite Rules:
   [ b(a(b(a(a(a(b(?x))))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(?x_1))) = b(a(b(?x_1))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(b(?x_4))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))) = b(a(a(b(?x_5)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(?x_6))) = b(a(a(a(b(?x_6))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(b(a(a(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(b(?x_3)) = b(b(?x_3)),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(?x_3))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(?x_2)))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(?x_2))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x_1))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(b(?x_2)))))) = b(b(b(a(a(a(b(a(a(b(?x_2)))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_1)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(?x_1))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(b(?x_5)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(a(b(?x_2))) = b(a(b(?x_2))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(?x_6)))),
     b(a(b(?x_7))) = b(a(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(?x_2))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_2))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(?x_3))) = b(a(b(b(a(a(b(?x_3))))))),
     b(a(b(?x_4))) = b(a(b(a(a(b(b(?x_4))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(b(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(b(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(b(?x_4)) = b(b(a(a(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(?x_4)) = b(a(b(a(a(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_1)))) = b(a(a(b(b(a(a(b(?x_1)))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(a(b(a(a(a(b(?x_2)))))))))),
     b(a(a(b(?x_3)))) = b(a(a(b(a(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(b(b(?x_4)))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(b(?x_4)) = b(a(a(b(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_1)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_1)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_2)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_3)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_4)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))),
     b(b(b(a(a(a(b(b(?x_4)))))))) = b(a(a(a(b(b(b(b(?x_4)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(a(a(b(b(?x_4)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(b(?x)))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(?x_4))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_2)) = b(b(a(b(a(a(a(b(?x_2)))))))),
     b(b(?x_3)) = b(b(a(a(a(b(a(b(?x_3)))))))),
     b(b(?x_4)) = b(b(b(a(a(b(?x_4)))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))) = b(b(a(a(a(b(a(a(b(?x_6))))))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(a(a(b(?x_7)))))))))),
     b(a(a(b(?x_4)))) = b(b(a(a(b(a(a(b(?x_4)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_4))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_4)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(b(?x_4)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(?x_2))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(b(?x_3))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_4))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(?x_2))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(b(b(?x_3))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(?x_3))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(b(?x_6))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(?x_7)))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(b(b(a(a(b(?x_4))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(a(b(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(b(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(b(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(b(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(b(?x_3))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_6))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_7)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_6)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_6)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(?x_1))), b(a(b(?x_1)))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_1))))))), b(a(a(a(b(a(b(?x_1)))))))> by Rules <1, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],1)]>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(b(a(a(b(?x_2)))))> by Rules <2, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(a(a(a(b(?x_3))))))), b(a(a(b(b(?x_3)))))> by Rules <3, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],3)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_4))))))))), b(b(b(?x_4)))> by Rules <4, 0> preceded by [(b,1),(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
 (success)
 (success)
 (success)
 (success)
 (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <b(a(a(a(b(c_1))))) <- b(a(a(a(b(a(a(a(b(a(b(c_1))))))))))) -> b(a(b(c_1)))>
Direct Methods: not CR
{0}
(cm)Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR
Try A Minimal Decomposition {7,6,5,4,3,1,2}{0}
{7,6,5,4,3,1,2}
(cm)Rewrite Rules:
   [ b(a(b(a(a(a(b(?x))))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(?x_1))) = b(a(b(?x_1))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(b(?x_4))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))) = b(a(a(b(?x_5)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(?x_6))) = b(a(a(a(b(?x_6))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(b(a(a(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(b(?x_3)) = b(b(?x_3)),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(?x_3))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(?x_2)))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(?x_2))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x_1))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(b(?x_2)))))) = b(b(b(a(a(a(b(a(a(b(?x_2)))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_1)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(?x_1))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(b(?x_5)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(a(b(?x_2))) = b(a(b(?x_2))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(?x_6)))),
     b(a(b(?x_7))) = b(a(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(?x_2))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_2))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(?x_3))) = b(a(b(b(a(a(b(?x_3))))))),
     b(a(b(?x_4))) = b(a(b(a(a(b(b(?x_4))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(b(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(b(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(b(?x_4)) = b(b(a(a(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(?x_4)) = b(a(b(a(a(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_1)))) = b(a(a(b(b(a(a(b(?x_1)))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(a(b(a(a(a(b(?x_2)))))))))),
     b(a(a(b(?x_3)))) = b(a(a(b(a(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(b(b(?x_4)))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(b(?x_4)) = b(a(a(b(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_1)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_1)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_2)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_3)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_4)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))),
     b(b(b(a(a(a(b(b(?x_4)))))))) = b(a(a(a(b(b(b(b(?x_4)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(a(a(b(b(?x_4)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(b(?x)))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(?x_4))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_2)) = b(b(a(b(a(a(a(b(?x_2)))))))),
     b(b(?x_3)) = b(b(a(a(a(b(a(b(?x_3)))))))),
     b(b(?x_4)) = b(b(b(a(a(b(?x_4)))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))) = b(b(a(a(a(b(a(a(b(?x_6))))))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(a(a(b(?x_7)))))))))),
     b(a(a(b(?x_4)))) = b(b(a(a(b(a(a(b(?x_4)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_4))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_4)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(b(?x_4)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(?x_2))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(b(?x_3))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_4))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(?x_2))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(b(b(?x_3))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(?x_3))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(b(?x_6))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(?x_7)))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(b(b(a(a(b(?x_4))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(a(b(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(b(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(b(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(b(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(b(?x_3))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_6))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_7)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_6)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_6)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(?x_1))), b(a(b(?x_1)))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_1))))))), b(a(a(a(b(a(b(?x_1)))))))> by Rules <1, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],1)]>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(b(a(a(b(?x_2)))))> by Rules <2, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(a(a(a(b(?x_3))))))), b(a(a(b(b(?x_3)))))> by Rules <3, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],3)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_4))))))))), b(b(b(?x_4)))> by Rules <4, 0> preceded by [(b,1),(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
 (success)
 (success)
 (success)
 (success)
 (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <b(a(a(a(b(c_1))))) <- b(a(a(a(b(a(a(a(b(a(b(c_1))))))))))) -> b(a(b(c_1)))>
Direct Methods: not CR
{0}
(cm)Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR
Try A Minimal Decomposition {7,6,5,4,3,1,2}{0}
{7,6,5,4,3,1,2}
(cm)Rewrite Rules:
   [ b(a(b(a(a(a(b(?x))))))) -> b(?x),
     b(a(a(a(b(a(b(?x))))))) -> b(?x),
     b(b(a(a(b(?x))))) -> b(?x),
     b(a(a(b(b(?x))))) -> b(?x),
     b(a(a(a(b(b(b(?x))))))) -> b(b(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(a(b(?x)))))))) -> b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) -> b(?x) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(?x_1))) = b(a(b(?x_1))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(b(b(b(a(a(a(b(?x_4))))))))) = b(b(b(?x_4))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))) = b(a(a(b(?x_5)))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(?x_6))) = b(a(a(a(b(?x_6))))),
     b(a(b(a(a(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(a(b(a(b(?x_6))))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(b(a(a(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(b(?x_3)) = b(b(?x_3)),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(?x_3))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(b(a(a(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(b(b(?x))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(?x_2)))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(?x_2))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(a(b(b(?x_6))))) = b(a(a(a(b(a(a(a(b(?x_6))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x_1))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(b(?x_2)))))) = b(b(b(a(a(a(b(a(a(b(?x_2)))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))),
     b(a(a(a(b(b(b(?x_6))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_1)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_4)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_6)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(?x_1))))) = b(a(b(?x_1))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(?x_2))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(?x_3))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))) = b(b(b(?x_4))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(?x_4))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))) = b(a(a(b(?x_5)))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_5)))))))),
     b(a(b(a(a(a(b(?x))))))) = b(a(b(a(a(a(b(?x))))))),
     b(a(a(a(b(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))),
     b(b(a(a(b(?x))))) = b(b(a(a(b(?x))))),
     b(a(a(b(b(?x))))) = b(a(a(b(b(?x))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(a(a(a(b(a(a(a(b(?x))))))))) = b(a(a(a(b(a(a(a(b(?x))))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b(a(b(?x_2))) = b(a(b(?x_2))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(b(?x_5))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(?x_6)))),
     b(a(b(?x_7))) = b(a(a(a(b(?x_7))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(?x_1))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(?x_2))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(?x_2))) = b(a(b(a(a(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_1))))) = b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(b(a(b(?x_2))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(b(b(?x_5))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_6)))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(b(a(a(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(b(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(?x_2))) = b(a(a(b(b(a(b(?x_2))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(b(b(?x_5))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(?x_6)))))))),
     b(a(b(?x_7))) = b(a(a(b(b(a(a(a(b(?x_7))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_1))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(b(?x_2))))))))) = b(a(a(a(b(b(b(a(b(?x_2))))))))),
     b(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_5))))))))),
     b(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_6)))))))))),
     b(b(b(a(a(a(b(a(b(?x_7))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_7))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_2)))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_2)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(?x_7)))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_2))) = b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))),
     b(a(b(b(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(b(?x_7))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(b(a(a(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(b(a(a(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))))),
     b(a(b(a(a(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(b(a(a(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(b(a(a(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(b(a(a(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(?x))))) = b(a(a(a(b(?x))))),
     b(b(b(a(a(a(b(a(b(a(a(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(?x_1))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(?x_3))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(?x_4))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(b(?x_2))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(b(?x_3))) = b(a(b(b(a(a(b(?x_3))))))),
     b(a(b(?x_4))) = b(a(b(a(a(b(b(?x_4))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(b(a(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(b(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(a(b(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_1))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(b(b(b(a(a(b(?x_3))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(a(a(b(?x_2))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_1))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_2))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_3))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_4))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x_7))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(?x_2)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_1)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_1)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_3)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(b(?x_3))) = b(a(a(a(b(b(a(a(b(?x_3))))))))),
     b(a(b(?x_4))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(a(b(a(b(?x_1))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(a(a(a(b(a(b(b(b(a(a(a(b(?x_5))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(a(b(a(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(b(?x))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(b(?x_4)) = b(b(?x_4)),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(?x_1))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(?x_4))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(b(?x_4)) = b(b(a(a(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(b(a(a(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(b(a(a(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(?x_4)) = b(a(b(a(a(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(b(b(?x_4)))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(b(b(a(a(b(?x_1))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(b(a(a(b(b(?x_4))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_1)))) = b(a(a(b(b(a(a(b(?x_1)))))))),
     b(a(a(b(?x_2)))) = b(a(a(b(a(b(a(a(a(b(?x_2)))))))))),
     b(a(a(b(?x_3)))) = b(a(a(b(a(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(?x_4)))) = b(a(a(b(a(a(b(b(?x_4)))))))),
     b(a(a(b(b(b(a(a(a(b(?x_5)))))))))) = b(a(a(b(a(a(a(b(b(b(?x_5)))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))) = b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))),
     b(b(?x_4)) = b(a(a(b(b(b(?x_4)))))),
     b(b(a(a(b(?x_1))))) = b(a(a(b(b(b(a(a(b(?x_1))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(b(b(a(a(b(b(?x_4))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_1)))))))))) = b(a(a(a(b(b(b(a(a(b(?x_1)))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_2)))))))))) = b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_3)))))))))) = b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_4)))))))))) = b(a(a(a(b(b(a(a(b(b(?x_4)))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))),
     b(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(b(?x_7)))))))))) = b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))),
     b(b(b(a(a(a(b(b(?x_4)))))))) = b(a(a(a(b(b(b(b(?x_4)))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_1))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_1))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_4))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(b(a(a(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(a(a(b(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(a(a(a(b(b(?x_4)))))))))),
     b(b(a(a(b(?x_1))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_1))))))))))))),
     b(b(a(a(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(a(a(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(a(a(b(?x_4))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_4))))))))))))),
     b(b(a(a(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(a(a(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(b(?x)))),
     b(b(b(a(a(a(b(a(a(b(?x)))))))))) = b(a(a(a(b(b(?x)))))),
     b(b(b(a(a(a(b(b(a(a(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(?x_1))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(?x_4))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(?x_5))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(b(?x_6)))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(?x_7))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(b(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(b(a(a(b(?x_4)))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(b(a(a(b(b(?x_1))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(?x_2)) = b(b(a(b(a(a(a(b(?x_2)))))))),
     b(b(?x_3)) = b(b(a(a(a(b(a(b(?x_3)))))))),
     b(b(?x_4)) = b(b(b(a(a(b(?x_4)))))),
     b(b(b(b(a(a(a(b(?x_5)))))))) = b(b(a(a(a(b(b(b(?x_5)))))))),
     b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))) = b(b(a(a(a(b(a(a(b(?x_6))))))))),
     b(b(?x_7)) = b(b(a(a(a(b(a(a(a(b(?x_7)))))))))),
     b(a(a(b(?x_4)))) = b(b(a(a(b(a(a(b(?x_4)))))))),
     b(a(a(b(b(?x_1))))) = b(b(a(a(b(a(a(b(b(?x_1))))))))),
     b(a(a(b(b(?x_2))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(b(?x_3))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(b(?x_4))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(b(?x_7))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_1))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_1))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_2))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_4))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x_7))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_4))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_1)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_1)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_2)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_4)))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(b(b(a(a(a(b(?x_5)))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(b(?x_1))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_1))))))))))))),
     b(a(a(b(b(?x_2))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(b(b(?x_3))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(b(b(?x_4))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(b(b(b(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))),
     b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(a(a(b(b(?x_7))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(b(b(a(a(a(b(a(a(b(b(?x))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(?x))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x)))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(b(a(a(a(b(a(a(b(?x_4)))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(?x_4)))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_2))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_3))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_4))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_5))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x_7))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(b(?x_4)) = b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))),
     b(b(b(?x_2))) = b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(b(b(?x_3))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(b(b(?x_4))) = b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(b(b(?x_5))) = b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))),
     b(b(b(?x_7))) = b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(b(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(b(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(b(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(?x_4))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1)))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_2)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_3)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_4)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_5)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_7)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(b(?x_4)) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))),
     b(b(b(b(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))),
     b(b(b(?x_2))) = b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))),
     b(b(b(?x_3))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))),
     b(b(b(?x_4))) = b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))),
     b(b(b(?x_5))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))),
     b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))),
     b(b(b(?x_7))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))),
     b(a(a(a(b(b(?x_4)))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(a(b(b(b(b(b(a(a(a(b(?x_1))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(b(b(?x_1))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_2))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_3))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_4))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(b(a(a(b(?x_4))))))))))))))))))),
     b(a(a(a(b(b(b(?x_5))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x_6)))))))))))))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(b(b(?x_7))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(?x))))))))))))) = b(a(a(a(b(b(b(b(b(a(a(a(b(?x))))))))))))),
     b(b(b(?x))) = b(a(b(b(b(a(a(a(b(?x))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(b(b(b(a(a(a(b(?x))))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(b(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(b(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x)))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x)))))))))))))),
     b(b(b(?x))) = b(a(a(a(b(b(b(a(a(a(b(?x))))))))))),
     b(a(a(a(b(b(b(?x))))))) = b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_5)))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1)))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_2))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_3))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_4))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_5))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_7))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_5))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_2)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_3)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_4)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_5)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))),
     b(a(a(b(?x_2)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))),
     b(a(a(b(?x_3)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))),
     b(a(a(b(?x_4)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))),
     b(a(a(b(?x_5)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))),
     b(a(a(b(b(b(a(a(a(b(?x_6)))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))),
     b(a(a(b(?x_7)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))),
     b(a(a(a(b(?x_5))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(?x_5))))))))))))))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_1))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x_1))))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_2)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(b(a(a(a(b(?x_2)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_3)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(b(?x_3)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_4)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(b(a(a(b(?x_4)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_5)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(b(b(?x_5)))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(?x_6)))))))))))))))))))))))))),
     b(a(a(a(b(a(a(b(?x_7)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_7)))))))))))))))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(?x))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x))))))))))))))))))),
     b(a(a(b(?x)))) = b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(b(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(?x)))))))))))))) = b(a(a(a(b(b(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))),
     b(a(a(b(?x)))) = b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))),
     b(a(a(a(b(a(a(b(?x)))))))) = b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x)))))))))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(?x_3))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(b(?x_6))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(?x_7)))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(?x_1))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(?x_2))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(?x_4))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(?x_5))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))))),
     b(a(a(a(b(?x_2))))) = b(a(b(a(b(a(a(a(b(?x_2))))))))),
     b(a(a(a(b(?x_3))))) = b(a(b(a(a(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(?x_4))))) = b(a(b(b(a(a(b(?x_4))))))),
     b(a(a(a(b(?x_5))))) = b(a(b(a(a(b(b(?x_5))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(b(a(a(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(b(a(a(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(b(a(a(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(b(a(a(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(b(a(a(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(b(a(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(a(b(a(b(a(b(?x_3))))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(a(b(a(b(b(b(?x_6))))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(a(b(a(b(a(a(b(?x_7)))))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(a(b(a(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(a(b(a(b(b(a(a(b(?x_4))))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(a(b(a(b(a(a(b(b(?x_5))))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(a(b(a(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(a(b(?x_3))))) = b(b(a(a(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(b(a(a(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(b(a(a(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(b(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(b(a(a(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(b(a(a(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(b(a(a(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(b(a(a(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(b(a(a(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(b(a(a(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(a(a(a(b(?x_3))))) = b(a(a(b(b(a(b(?x_3))))))),
     b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))) = b(a(a(b(b(b(b(?x_6))))))),
     b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))) = b(a(a(b(b(a(a(b(?x_7)))))))),
     b(a(a(a(b(a(a(a(b(?x_1))))))))) = b(a(a(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))),
     b(a(a(a(b(a(a(a(b(?x_2))))))))) = b(a(a(b(b(a(b(a(a(a(b(?x_2))))))))))),
     b(a(a(a(b(a(a(a(b(?x_3))))))))) = b(a(a(b(b(a(a(a(b(a(b(?x_3))))))))))),
     b(a(a(a(b(a(a(a(b(?x_4))))))))) = b(a(a(b(b(b(a(a(b(?x_4))))))))),
     b(a(a(a(b(a(a(a(b(?x_5))))))))) = b(a(a(b(b(a(a(b(b(?x_5))))))))),
     b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))) = b(a(a(b(b(a(a(a(b(b(b(?x_6))))))))))),
     b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))) = b(a(a(b(b(a(a(a(b(a(a(b(?x_7)))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(?x_3))))))))))) = b(a(a(a(b(b(b(a(b(?x_3))))))))),
     b(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))) = b(a(a(a(b(b(b(b(b(?x_6))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(b(?x_7)))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(a(b(?x_1))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_2))))))))))))))) = b(a(a(a(b(b(b(a(b(a(a(a(b(?x_2))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_3))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(b(?x_3))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_4))))))))))))))) = b(a(a(a(b(b(b(b(a(a(b(?x_4))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x_5))))))))))))))) = b(a(a(a(b(b(b(a(a(b(b(?x_5))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(b(b(?x_6))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7)))))))))))))))))))))))))) = b(a(a(a(b(b(b(a(a(a(b(a(a(b(?x_7)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(?x_3)))))))))))))))) = b(a(a(a(b(a(a(b(a(b(?x_3)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))) = b(a(a(a(b(a(a(b(b(b(?x_6)))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(?x_7))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(a(b(?x_1)))))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_2)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(b(a(a(a(b(?x_2)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_3)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(b(?x_3)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_4)))))))))))))))))))) = b(a(a(a(b(a(a(b(b(a(a(b(?x_4)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x_5)))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(b(b(?x_5)))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(b(b(a(a(a(b(?x_6)))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(b(b(?x_6)))))))))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(a(a(b(a(a(b(a(a(a(b(b(?x_7))))))))))))))))))))))))))))))) = b(a(a(a(b(a(a(b(a(a(a(b(a(a(b(?x_7))))))))))))))),
     b(b(b(a(a(a(b(a(a(a(b(a(a(a(b(?x))))))))))))))) = b(a(a(a(b(b(b(?x))))))),
     b(a(a(b(a(a(b(a(a(a(b(b(a(a(a(b(a(a(a(b(?x)))))))))))))))))))) = b(a(a(a(b(a(a(b(?x)))))))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(?x_1))), b(a(b(?x_1)))> by Rules <1, 0> preceded by [(b,1),(a,1)]
 joinable by a reduction of rules <[], []>
Critical Pair <b(a(b(a(a(a(b(?x_1))))))), b(a(a(a(b(a(b(?x_1)))))))> by Rules <1, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],1)]>
Critical Pair <b(a(b(a(a(a(b(?x_2))))))), b(b(a(a(b(?x_2)))))> by Rules <2, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],2)]>
Critical Pair <b(a(b(a(a(a(b(?x_3))))))), b(a(a(b(b(?x_3)))))> by Rules <3, 0> preceded by [(b,1),(a,1),(b,1),(a,1),(a,1),(a,1)]
 joinable by a reduction of rules <[([],0)], [([],3)]>
Critical Pair <b(a(b(b(b(a(a(a(b(?x_4))))))))), b(b(b(?x_4)))> by Rules <4, 0> preceded by [(b,1),(a,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 9 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
 (success)
 (success)
 (success)
 (success)
 (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <b(a(a(a(b(c_1))))) <- b(a(a(a(b(a(a(a(b(a(b(c_1))))))))))) -> b(a(b(c_1)))>
Direct Methods: not CR
{0}
(cm)Rewrite Rules:
   [ b(a(b(?x))) -> b(a(a(a(b(?x))))) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(a(a(a(b(?x))))))) = b(a(a(a(b(a(b(?x))))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
Terminating, WCR
Knuth & Bendix
Direct Methods: CR
Commutative Decomposition failed: Can't judge
No further decomposition possible


Combined result: Can't judge
/tmp/fileTQiCXi.trs: Failure(unknown CR)
(21191 msec.)