eq(a(f(a(a(N,x),y)),a(a(a(x,f(a(a(N,x),y))),y),f(a(a(N,x),y)))),    a(a(a(N,x),y),f(a(a(N,x),y)))).
eq(a(f(a(a(B,x),y)),a(x,a(y,f(a(a(B,x),y))))),    a(x,a(y,f(a(a(B,x),y))))).
eq(a(f(a(a(N,x),y)),a(a(a(N,x),y),f(a(a(N,x),y)))),    a(a(a(x,f(a(a(N,x),y))),y),f(a(a(N,x),y)))).
eq(a(f(a(a(B,x),a(a(N,y),z))),a(x,a(a(a(y,f(a(a(B,x),a(a(N,y),z)))),z),f(a(a(B,x),a(a(N,y),z)))))),    a(x,a(a(a(N,y),z),f(a(a(B,x),a(a(N,y),z)))))).
eq(a(f(a(a(B,x),a(a(B,y),z))),a(x,a(y,a(z,f(a(a(B,x),a(a(B,y),z))))))),    a(x,a(y,a(z,f(a(a(B,x),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,x),y)),z)),a(a(a(x,a(z,f(a(a(B,a(a(N,x),y)),z)))),y),a(z,f(a(a(B,a(a(N,x),y)),z))))),    a(a(a(N,x),y),a(z,f(a(a(B,a(a(N,x),y)),z))))).
eq(a(f(a(a(B,a(a(B,x),y)),z)),a(x,a(y,a(z,f(a(a(B,a(a(B,x),y)),z)))))),    a(x,a(y,a(z,f(a(a(B,a(a(B,x),y)),z)))))).
eq(a(f(a(a(B,x),a(a(N,y),z))),a(x,a(a(a(N,y),z),f(a(a(B,x),a(a(N,y),z)))))),    a(x,a(a(a(y,f(a(a(B,x),a(a(N,y),z)))),z),f(a(a(B,x),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,x),y)),z)),a(a(a(N,x),y),a(z,f(a(a(B,a(a(N,x),y)),z))))),    a(a(a(x,a(z,f(a(a(B,a(a(N,x),y)),z)))),y),a(z,f(a(a(B,a(a(N,x),y)),z))))).
eq(a(f(a(a(N,a(a(N,x),y)),z)),a(a(a(a(a(x,f(a(a(N,a(a(N,x),y)),z))),y),f(a(a(N,a(a(N,x),y)),z))),z),f(a(a(N,a(a(N,x),y)),z)))),    a(a(a(N,a(a(N,x),y)),z),f(a(a(N,a(a(N,x),y)),z)))).
eq(a(f(a(a(N,a(a(B,x),y)),z)),a(a(a(x,a(y,f(a(a(N,a(a(B,x),y)),z)))),z),f(a(a(N,a(a(B,x),y)),z)))),    a(a(a(N,a(a(B,x),y)),z),f(a(a(N,a(a(B,x),y)),z)))).
eq(a(f(a(a(N,a(N,x)),y)),a(a(a(a(x,y),f(a(a(N,a(N,x)),y))),y),f(a(a(N,a(N,x)),y)))),    a(a(a(N,a(N,x)),y),f(a(a(N,a(N,x)),y)))).
eq(a(f(a(a(N,a(B,x)),y)),a(a(x,a(f(a(a(N,a(B,x)),y)),y)),f(a(a(N,a(B,x)),y)))),    a(a(a(N,a(B,x)),y),f(a(a(N,a(B,x)),y)))).
eq(a(f(a(a(N,N),x)),a(a(a(f(a(a(N,N),x)),f(a(a(N,N),x))),x),f(a(a(N,N),x)))),    a(a(a(N,N),x),f(a(a(N,N),x)))).
eq(a(f(a(a(N,B),x)),a(f(a(a(N,B),x)),a(x,f(a(a(N,B),x))))),    a(a(a(N,B),x),f(a(a(N,B),x)))).
eq(a(f(a(a(N,x),y)),a(a(a(x,f(a(a(N,x),y))),y),f(a(a(N,x),y)))),    a(a(a(x,f(a(a(N,x),y))),y),f(a(a(N,x),y)))).
eq(a(f(a(a(N,B),a(a(N,x),y))),a(f(a(a(N,B),a(a(N,x),y))),a(a(a(x,f(a(a(N,B),a(a(N,x),y)))),y),f(a(a(N,B),a(a(N,x),y)))))),    a(a(a(N,B),a(a(N,x),y)),f(a(a(N,B),a(a(N,x),y))))).
eq(a(f(a(a(N,B),a(a(B,x),y))),a(f(a(a(N,B),a(a(B,x),y))),a(x,a(y,f(a(a(N,B),a(a(B,x),y))))))),    a(a(a(N,B),a(a(B,x),y)),f(a(a(N,B),a(a(B,x),y))))).
eq(a(f(a(a(N,B),x)),a(f(a(a(N,B),x)),a(x,f(a(a(N,B),x))))),    a(f(a(a(N,B),x)),a(x,f(a(a(N,B),x))))).
eq(a(f(a(a(N,a(a(N,x),y)),z)),a(a(a(N,a(a(N,x),y)),z),f(a(a(N,a(a(N,x),y)),z)))),    a(a(a(a(a(x,f(a(a(N,a(a(N,x),y)),z))),y),f(a(a(N,a(a(N,x),y)),z))),z),f(a(a(N,a(a(N,x),y)),z)))).
eq(a(f(a(a(N,a(a(B,x),y)),z)),a(a(a(N,a(a(B,x),y)),z),f(a(a(N,a(a(B,x),y)),z)))),    a(a(a(x,a(y,f(a(a(N,a(a(B,x),y)),z)))),z),f(a(a(N,a(a(B,x),y)),z)))).
eq(a(f(a(a(N,a(N,x)),y)),a(a(a(N,a(N,x)),y),f(a(a(N,a(N,x)),y)))),    a(a(a(a(x,y),f(a(a(N,a(N,x)),y))),y),f(a(a(N,a(N,x)),y)))).
eq(a(f(a(a(N,a(B,x)),y)),a(a(a(N,a(B,x)),y),f(a(a(N,a(B,x)),y)))),    a(a(x,a(f(a(a(N,a(B,x)),y)),y)),f(a(a(N,a(B,x)),y)))).
eq(a(f(a(a(N,N),x)),a(a(a(N,N),x),f(a(a(N,N),x)))),    a(a(a(f(a(a(N,N),x)),f(a(a(N,N),x))),x),f(a(a(N,N),x)))).
eq(a(f(a(a(N,B),x)),a(a(a(N,B),x),f(a(a(N,B),x)))),    a(f(a(a(N,B),x)),a(x,f(a(a(N,B),x))))).
eq(a(f(a(a(N,B),a(a(N,x),y))),a(a(a(N,B),a(a(N,x),y)),f(a(a(N,B),a(a(N,x),y))))),    a(f(a(a(N,B),a(a(N,x),y))),a(a(a(x,f(a(a(N,B),a(a(N,x),y)))),y),f(a(a(N,B),a(a(N,x),y)))))).
eq(a(f(a(a(N,B),a(a(B,x),y))),a(a(a(N,B),a(a(B,x),y)),f(a(a(N,B),a(a(B,x),y))))),    a(f(a(a(N,B),a(a(B,x),y))),a(x,a(y,f(a(a(N,B),a(a(B,x),y))))))).
eq(a(f(a(a(N,B),a(a(N,x),y))),a(f(a(a(N,B),a(a(N,x),y))),a(a(a(x,f(a(a(N,B),a(a(N,x),y)))),y),f(a(a(N,B),a(a(N,x),y)))))),    a(f(a(a(N,B),a(a(N,x),y))),a(a(a(N,x),y),f(a(a(N,B),a(a(N,x),y)))))).
eq(a(f(a(a(N,B),a(a(B,x),y))),a(f(a(a(N,B),a(a(B,x),y))),a(x,a(y,f(a(a(N,B),a(a(B,x),y))))))),    a(f(a(a(N,B),a(a(B,x),y))),a(x,a(y,f(a(a(N,B),a(a(B,x),y))))))).
eq(a(f(a(a(N,B),a(a(N,x),y))),a(f(a(a(N,B),a(a(N,x),y))),a(a(a(N,x),y),f(a(a(N,B),a(a(N,x),y)))))),    a(f(a(a(N,B),a(a(N,x),y))),a(a(a(x,f(a(a(N,B),a(a(N,x),y)))),y),f(a(a(N,B),a(a(N,x),y)))))).
eq(a(f(a(a(N,N),x)),a(a(a(f(a(a(N,N),x)),f(a(a(N,N),x))),x),f(a(a(N,N),x)))),    a(a(a(N,f(a(a(N,N),x))),x),f(a(a(N,N),x)))).
eq(a(f(a(a(N,a(a(N,x),y)),z)),a(a(a(a(a(x,f(a(a(N,a(a(N,x),y)),z))),y),f(a(a(N,a(a(N,x),y)),z))),z),f(a(a(N,a(a(N,x),y)),z)))),    a(a(a(a(a(N,x),y),f(a(a(N,a(a(N,x),y)),z))),z),f(a(a(N,a(a(N,x),y)),z)))).
eq(a(f(a(a(N,a(a(B,x),y)),z)),a(a(a(x,a(y,f(a(a(N,a(a(B,x),y)),z)))),z),f(a(a(N,a(a(B,x),y)),z)))),    a(a(a(x,a(y,f(a(a(N,a(a(B,x),y)),z)))),z),f(a(a(N,a(a(B,x),y)),z)))).
eq(a(f(a(a(N,a(N,x)),y)),a(a(a(a(x,y),f(a(a(N,a(N,x)),y))),y),f(a(a(N,a(N,x)),y)))),    a(a(a(a(N,x),f(a(a(N,a(N,x)),y))),y),f(a(a(N,a(N,x)),y)))).
eq(a(f(a(a(N,a(B,x)),y)),a(a(x,a(f(a(a(N,a(B,x)),y)),y)),f(a(a(N,a(B,x)),y)))),    a(a(x,a(f(a(a(N,a(B,x)),y)),y)),f(a(a(N,a(B,x)),y)))).
eq(a(f(a(a(N,a(a(N,x),y)),z)),a(a(a(a(a(N,x),y),f(a(a(N,a(a(N,x),y)),z))),z),f(a(a(N,a(a(N,x),y)),z)))),    a(a(a(a(a(x,f(a(a(N,a(a(N,x),y)),z))),y),f(a(a(N,a(a(N,x),y)),z))),z),f(a(a(N,a(a(N,x),y)),z)))).
eq(a(f(a(a(N,a(N,x)),y)),a(a(a(a(N,x),f(a(a(N,a(N,x)),y))),y),f(a(a(N,a(N,x)),y)))),    a(a(a(a(x,y),f(a(a(N,a(N,x)),y))),y),f(a(a(N,a(N,x)),y)))).
eq(a(f(a(a(N,N),x)),a(a(a(N,f(a(a(N,N),x))),x),f(a(a(N,N),x)))),    a(a(a(f(a(a(N,N),x)),f(a(a(N,N),x))),x),f(a(a(N,N),x)))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(N,z),u)))),a(x,a(y,a(a(a(z,f(a(a(B,x),a(a(B,y),a(a(N,z),u))))),u),f(a(a(B,x),a(a(B,y),a(a(N,z),u)))))))),    a(x,a(y,a(a(a(N,z),u),f(a(a(B,x),a(a(B,y),a(a(N,z),u)))))))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(B,z),u)))),a(x,a(y,a(z,a(u,f(a(a(B,x),a(a(B,y),a(a(B,z),u))))))))),    a(x,a(y,a(z,a(u,f(a(a(B,x),a(a(B,y),a(a(B,z),u))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(N,y),z)),u))),a(x,a(a(a(y,a(u,f(a(a(B,x),a(a(B,a(a(N,y),z)),u))))),z),a(u,f(a(a(B,x),a(a(B,a(a(N,y),z)),u))))))),    a(x,a(a(a(N,y),z),a(u,f(a(a(B,x),a(a(B,a(a(N,y),z)),u))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,y),z)),u))),a(x,a(y,a(z,a(u,f(a(a(B,x),a(a(B,a(a(B,y),z)),u)))))))),    a(x,a(y,a(z,a(u,f(a(a(B,x),a(a(B,a(a(B,y),z)),u)))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(B,z),u))),a(a(a(x,a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u)))))),y),a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u))))))),    a(a(a(N,x),y),a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(B,z),u))),a(x,a(y,a(z,a(u,f(a(a(B,a(a(B,x),y)),a(a(B,z),u)))))))),    a(x,a(y,a(z,a(u,f(a(a(B,a(a(B,x),y)),a(a(B,z),u)))))))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(N,z),u)))),a(x,a(y,a(a(a(N,z),u),f(a(a(B,x),a(a(B,y),a(a(N,z),u)))))))),    a(x,a(y,a(a(a(z,f(a(a(B,x),a(a(B,y),a(a(N,z),u))))),u),f(a(a(B,x),a(a(B,y),a(a(N,z),u)))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(N,y),z)),u))),a(x,a(a(a(N,y),z),a(u,f(a(a(B,x),a(a(B,a(a(N,y),z)),u))))))),    a(x,a(a(a(y,a(u,f(a(a(B,x),a(a(B,a(a(N,y),z)),u))))),z),a(u,f(a(a(B,x),a(a(B,a(a(N,y),z)),u))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(B,z),u))),a(a(a(N,x),y),a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u))))))),    a(a(a(x,a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u)))))),y),a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,z),u))),a(x,a(y,a(a(a(z,f(a(a(B,a(a(B,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(B,x),y)),a(a(N,z),u))))))),    a(x,a(y,a(a(a(N,z),u),f(a(a(B,a(a(B,x),y)),a(a(N,z),u))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(N,y),z))),u)),a(x,a(a(a(y,a(u,f(a(a(B,a(a(B,x),a(a(N,y),z))),u)))),z),a(u,f(a(a(B,a(a(B,x),a(a(N,y),z))),u)))))),    a(x,a(a(a(N,y),z),a(u,f(a(a(B,a(a(B,x),a(a(N,y),z))),u)))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,y),z))),u)),a(x,a(y,a(z,a(u,f(a(a(B,a(a(B,x),a(a(B,y),z))),u))))))),    a(x,a(y,a(z,a(u,f(a(a(B,a(a(B,x),a(a(B,y),z))),u))))))).
eq(a(f(a(a(B,a(a(B,a(a(N,x),y)),z)),u)),a(a(a(x,a(z,a(u,f(a(a(B,a(a(B,a(a(N,x),y)),z)),u))))),y),a(z,a(u,f(a(a(B,a(a(B,a(a(N,x),y)),z)),u)))))),    a(a(a(N,x),y),a(z,a(u,f(a(a(B,a(a(B,a(a(N,x),y)),z)),u)))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),y)),z)),u)),a(x,a(y,a(z,a(u,f(a(a(B,a(a(B,a(a(B,x),y)),z)),u))))))),    a(x,a(y,a(z,a(u,f(a(a(B,a(a(B,a(a(B,x),y)),z)),u))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,z),u))),a(x,a(y,a(a(a(N,z),u),f(a(a(B,a(a(B,x),y)),a(a(N,z),u))))))),    a(x,a(y,a(a(a(z,f(a(a(B,a(a(B,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(B,x),y)),a(a(N,z),u))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(N,y),z))),u)),a(x,a(a(a(N,y),z),a(u,f(a(a(B,a(a(B,x),a(a(N,y),z))),u)))))),    a(x,a(a(a(y,a(u,f(a(a(B,a(a(B,x),a(a(N,y),z))),u)))),z),a(u,f(a(a(B,a(a(B,x),a(a(N,y),z))),u)))))).
eq(a(f(a(a(B,a(a(B,a(a(N,x),y)),z)),u)),a(a(a(N,x),y),a(z,a(u,f(a(a(B,a(a(B,a(a(N,x),y)),z)),u)))))),    a(a(a(x,a(z,a(u,f(a(a(B,a(a(B,a(a(N,x),y)),z)),u))))),y),a(z,a(u,f(a(a(B,a(a(B,a(a(N,x),y)),z)),u)))))).
eq(a(f(a(a(N,a(B,a(a(N,x),y))),z)),a(a(a(a(x,a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),y),a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),f(a(a(N,a(B,a(a(N,x),y))),z)))),    a(a(a(N,a(B,a(a(N,x),y))),z),f(a(a(N,a(B,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(B,a(a(B,x),y))),z)),a(a(x,a(y,a(f(a(a(N,a(B,a(a(B,x),y))),z)),z))),f(a(a(N,a(B,a(a(B,x),y))),z)))),    a(a(a(N,a(B,a(a(B,x),y))),z),f(a(a(N,a(B,a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(B,a(N,x))),y)),a(a(a(x,f(a(a(N,a(B,a(N,x))),y))),a(f(a(a(N,a(B,a(N,x))),y)),y)),f(a(a(N,a(B,a(N,x))),y)))),    a(a(a(N,a(B,a(N,x))),y),f(a(a(N,a(B,a(N,x))),y)))).
eq(a(f(a(a(N,a(B,a(B,x))),y)),a(x,a(a(f(a(a(N,a(B,a(B,x))),y)),y),f(a(a(N,a(B,a(B,x))),y))))),    a(a(a(N,a(B,a(B,x))),y),f(a(a(N,a(B,a(B,x))),y)))).
eq(a(f(a(a(N,a(B,a(a(N,x),y))),z)),a(a(a(N,a(B,a(a(N,x),y))),z),f(a(a(N,a(B,a(a(N,x),y))),z)))),    a(a(a(a(x,a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),y),a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),f(a(a(N,a(B,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(B,a(a(B,x),y))),z)),a(a(a(N,a(B,a(a(B,x),y))),z),f(a(a(N,a(B,a(a(B,x),y))),z)))),    a(a(x,a(y,a(f(a(a(N,a(B,a(a(B,x),y))),z)),z))),f(a(a(N,a(B,a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(B,a(N,x))),y)),a(a(a(N,a(B,a(N,x))),y),f(a(a(N,a(B,a(N,x))),y)))),    a(a(a(x,f(a(a(N,a(B,a(N,x))),y))),a(f(a(a(N,a(B,a(N,x))),y)),y)),f(a(a(N,a(B,a(N,x))),y)))).
eq(a(f(a(a(N,a(B,a(B,x))),y)),a(a(a(N,a(B,a(B,x))),y),f(a(a(N,a(B,a(B,x))),y)))),    a(x,a(a(f(a(a(N,a(B,a(B,x))),y)),y),f(a(a(N,a(B,a(B,x))),y))))).
eq(a(f(a(a(N,N),x)),a(a(a(f(a(a(N,N),x)),f(a(a(N,N),x))),x),f(a(a(N,N),x)))),    a(a(a(f(a(a(N,N),x)),f(a(a(N,N),x))),x),f(a(a(N,N),x)))).
eq(a(f(a(a(N,a(N,a(a(N,x),y))),z)),a(a(a(a(a(a(x,z),y),z),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))),    a(a(a(N,a(N,a(a(N,x),y))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,x),y))),z)),a(a(a(a(x,a(y,z)),f(a(a(N,a(N,a(a(B,x),y))),z))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))),    a(a(a(N,a(N,a(a(B,x),y))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(N,x))),y)),a(a(a(a(a(x,f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))),    a(a(a(N,a(N,a(N,x))),y),f(a(a(N,a(N,a(N,x))),y)))).
eq(a(f(a(a(N,a(N,a(B,x))),y)),a(a(a(x,a(y,f(a(a(N,a(N,a(B,x))),y)))),y),f(a(a(N,a(N,a(B,x))),y)))),    a(a(a(N,a(N,a(B,x))),y),f(a(a(N,a(N,a(B,x))),y)))).
eq(a(f(a(a(N,a(N,N)),x)),a(a(a(a(x,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))),    a(a(a(N,a(N,N)),x),f(a(a(N,a(N,N)),x)))).
eq(a(f(a(a(N,a(N,B)),x)),a(a(x,a(f(a(a(N,a(N,B)),x)),x)),f(a(a(N,a(N,B)),x)))),    a(a(a(N,a(N,B)),x),f(a(a(N,a(N,B)),x)))).
eq(a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(a(a(x,a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),y),a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),f(a(a(N,a(N,B)),a(a(N,x),y))))),    a(a(a(N,a(N,B)),a(a(N,x),y)),f(a(a(N,a(N,B)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(x,a(y,a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(B,x),y)))),f(a(a(N,a(N,B)),a(a(B,x),y))))),    a(a(a(N,a(N,B)),a(a(B,x),y)),f(a(a(N,a(N,B)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(N,x))),a(a(a(x,f(a(a(N,a(N,B)),a(N,x)))),a(f(a(a(N,a(N,B)),a(N,x))),a(N,x))),f(a(a(N,a(N,B)),a(N,x))))),    a(a(a(N,a(N,B)),a(N,x)),f(a(a(N,a(N,B)),a(N,x))))).
eq(a(f(a(a(N,a(N,B)),a(B,x))),a(x,a(a(f(a(a(N,a(N,B)),a(B,x))),a(B,x)),f(a(a(N,a(N,B)),a(B,x)))))),    a(a(a(N,a(N,B)),a(B,x)),f(a(a(N,a(N,B)),a(B,x))))).
eq(a(f(a(a(N,a(N,B)),x)),a(a(x,a(f(a(a(N,a(N,B)),x)),x)),f(a(a(N,a(N,B)),x)))),    a(a(a(a(N,B),f(a(a(N,a(N,B)),x))),x),f(a(a(N,a(N,B)),x)))).
eq(a(f(a(a(N,a(N,a(a(N,x),y))),z)),a(a(a(N,a(N,a(a(N,x),y))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))),    a(a(a(a(a(a(x,z),y),z),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,x),y))),z)),a(a(a(N,a(N,a(a(B,x),y))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))),    a(a(a(a(x,a(y,z)),f(a(a(N,a(N,a(a(B,x),y))),z))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(N,x))),y)),a(a(a(N,a(N,a(N,x))),y),f(a(a(N,a(N,a(N,x))),y)))),    a(a(a(a(a(x,f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))).
eq(a(f(a(a(N,a(N,a(B,x))),y)),a(a(a(N,a(N,a(B,x))),y),f(a(a(N,a(N,a(B,x))),y)))),    a(a(a(x,a(y,f(a(a(N,a(N,a(B,x))),y)))),y),f(a(a(N,a(N,a(B,x))),y)))).
eq(a(f(a(a(N,a(N,N)),x)),a(a(a(N,a(N,N)),x),f(a(a(N,a(N,N)),x)))),    a(a(a(a(x,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))).
eq(a(f(a(a(N,a(N,B)),x)),a(a(a(N,a(N,B)),x),f(a(a(N,a(N,B)),x)))),    a(a(x,a(f(a(a(N,a(N,B)),x)),x)),f(a(a(N,a(N,B)),x)))).
eq(a(f(a(a(N,a(N,B)),x)),a(a(a(a(N,B),f(a(a(N,a(N,B)),x))),x),f(a(a(N,a(N,B)),x)))),    a(a(x,a(f(a(a(N,a(N,B)),x)),x)),f(a(a(N,a(N,B)),x)))).
eq(a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(a(N,a(N,B)),a(a(N,x),y)),f(a(a(N,a(N,B)),a(a(N,x),y))))),    a(a(a(a(x,a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),y),a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),f(a(a(N,a(N,B)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(a(N,a(N,B)),a(a(B,x),y)),f(a(a(N,a(N,B)),a(a(B,x),y))))),    a(a(x,a(y,a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(B,x),y)))),f(a(a(N,a(N,B)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(N,x))),a(a(a(N,a(N,B)),a(N,x)),f(a(a(N,a(N,B)),a(N,x))))),    a(a(a(x,f(a(a(N,a(N,B)),a(N,x)))),a(f(a(a(N,a(N,B)),a(N,x))),a(N,x))),f(a(a(N,a(N,B)),a(N,x))))).
eq(a(f(a(a(N,a(N,B)),a(B,x))),a(a(a(N,a(N,B)),a(B,x)),f(a(a(N,a(N,B)),a(B,x))))),    a(x,a(a(f(a(a(N,a(N,B)),a(B,x))),a(B,x)),f(a(a(N,a(N,B)),a(B,x)))))).
eq(a(f(a(a(N,a(N,N)),a(a(N,x),y))),a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))),    a(a(a(N,a(N,N)),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(a(B,x),y))),a(a(a(a(x,a(y,a(a(B,x),y))),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))),    a(a(a(N,a(N,N)),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(N,x))),a(a(a(a(a(x,f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))),    a(a(a(N,a(N,N)),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))).
eq(a(f(a(a(N,a(N,N)),a(B,x))),a(a(a(x,a(a(B,x),f(a(a(N,a(N,N)),a(B,x))))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))),    a(a(a(N,a(N,N)),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))).
eq(a(f(a(a(N,a(N,N)),x)),a(a(a(a(x,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))),    a(a(a(a(N,N),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))).
eq(a(f(a(a(N,a(N,N)),x)),a(a(a(a(N,N),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))),    a(a(a(a(x,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))).
eq(a(f(a(a(N,a(N,N)),a(a(N,x),y))),a(a(a(N,a(N,N)),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))),    a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(a(B,x),y))),a(a(a(N,a(N,N)),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))),    a(a(a(a(x,a(y,a(a(B,x),y))),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(N,x))),a(a(a(N,a(N,N)),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))),    a(a(a(a(a(x,f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))).
eq(a(f(a(a(N,a(N,N)),a(B,x))),a(a(a(N,a(N,N)),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))),    a(a(a(x,a(a(B,x),f(a(a(N,a(N,N)),a(B,x))))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))).
eq(a(f(a(a(N,a(B,a(a(N,x),y))),z)),a(a(a(a(x,a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),y),a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),f(a(a(N,a(B,a(a(N,x),y))),z)))),    a(a(a(a(N,x),y),a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),f(a(a(N,a(B,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(B,a(a(B,x),y))),z)),a(a(x,a(y,a(f(a(a(N,a(B,a(a(B,x),y))),z)),z))),f(a(a(N,a(B,a(a(B,x),y))),z)))),    a(a(x,a(y,a(f(a(a(N,a(B,a(a(B,x),y))),z)),z))),f(a(a(N,a(B,a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(B,a(N,x))),y)),a(a(a(x,f(a(a(N,a(B,a(N,x))),y))),a(f(a(a(N,a(B,a(N,x))),y)),y)),f(a(a(N,a(B,a(N,x))),y)))),    a(a(a(N,x),a(f(a(a(N,a(B,a(N,x))),y)),y)),f(a(a(N,a(B,a(N,x))),y)))).
eq(a(f(a(a(N,a(B,a(B,x))),y)),a(x,a(a(f(a(a(N,a(B,a(B,x))),y)),y),f(a(a(N,a(B,a(B,x))),y))))),    a(x,a(a(f(a(a(N,a(B,a(B,x))),y)),y),f(a(a(N,a(B,a(B,x))),y))))).
eq(a(f(a(a(N,a(B,a(a(N,x),y))),z)),a(a(a(a(N,x),y),a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),f(a(a(N,a(B,a(a(N,x),y))),z)))),    a(a(a(a(x,a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),y),a(f(a(a(N,a(B,a(a(N,x),y))),z)),z)),f(a(a(N,a(B,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(B,a(N,x))),y)),a(a(a(N,x),a(f(a(a(N,a(B,a(N,x))),y)),y)),f(a(a(N,a(B,a(N,x))),y)))),    a(a(a(x,f(a(a(N,a(B,a(N,x))),y))),a(f(a(a(N,a(B,a(N,x))),y)),y)),f(a(a(N,a(B,a(N,x))),y)))).
eq(a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(a(a(x,a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),y),a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),f(a(a(N,a(N,B)),a(a(N,x),y))))),    a(a(a(a(N,B),f(a(a(N,a(N,B)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,B)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(x,a(y,a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(B,x),y)))),f(a(a(N,a(N,B)),a(a(B,x),y))))),    a(a(a(a(N,B),f(a(a(N,a(N,B)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,B)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(N,x))),a(a(a(x,f(a(a(N,a(N,B)),a(N,x)))),a(f(a(a(N,a(N,B)),a(N,x))),a(N,x))),f(a(a(N,a(N,B)),a(N,x))))),    a(a(a(a(N,B),f(a(a(N,a(N,B)),a(N,x)))),a(N,x)),f(a(a(N,a(N,B)),a(N,x))))).
eq(a(f(a(a(N,a(N,B)),a(B,x))),a(x,a(a(f(a(a(N,a(N,B)),a(B,x))),a(B,x)),f(a(a(N,a(N,B)),a(B,x)))))),    a(a(a(a(N,B),f(a(a(N,a(N,B)),a(B,x)))),a(B,x)),f(a(a(N,a(N,B)),a(B,x))))).
eq(a(f(a(a(N,a(N,B)),x)),a(a(x,a(f(a(a(N,a(N,B)),x)),x)),f(a(a(N,a(N,B)),x)))),    a(a(x,a(f(a(a(N,a(N,B)),x)),x)),f(a(a(N,a(N,B)),x)))).
eq(a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(a(a(x,a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),y),a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),f(a(a(N,a(N,B)),a(a(N,x),y))))),    a(a(a(a(N,x),y),a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),f(a(a(N,a(N,B)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(x,a(y,a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(B,x),y)))),f(a(a(N,a(N,B)),a(a(B,x),y))))),    a(a(x,a(y,a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(B,x),y)))),f(a(a(N,a(N,B)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(N,x))),a(a(a(x,f(a(a(N,a(N,B)),a(N,x)))),a(f(a(a(N,a(N,B)),a(N,x))),a(N,x))),f(a(a(N,a(N,B)),a(N,x))))),    a(a(a(N,x),a(f(a(a(N,a(N,B)),a(N,x))),a(N,x))),f(a(a(N,a(N,B)),a(N,x))))).
eq(a(f(a(a(N,a(N,B)),a(B,x))),a(x,a(a(f(a(a(N,a(N,B)),a(B,x))),a(B,x)),f(a(a(N,a(N,B)),a(B,x)))))),    a(x,a(a(f(a(a(N,a(N,B)),a(B,x))),a(B,x)),f(a(a(N,a(N,B)),a(B,x)))))).
eq(a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(a(a(N,x),y),a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),f(a(a(N,a(N,B)),a(a(N,x),y))))),    a(a(a(a(x,a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),y),a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),f(a(a(N,a(N,B)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(N,x))),a(a(a(N,x),a(f(a(a(N,a(N,B)),a(N,x))),a(N,x))),f(a(a(N,a(N,B)),a(N,x))))),    a(a(a(x,f(a(a(N,a(N,B)),a(N,x)))),a(f(a(a(N,a(N,B)),a(N,x))),a(N,x))),f(a(a(N,a(N,B)),a(N,x))))).
eq(a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(a(a(N,B),f(a(a(N,a(N,B)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,B)),a(a(N,x),y))))),    a(a(a(a(x,a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),y),a(f(a(a(N,a(N,B)),a(a(N,x),y))),a(a(N,x),y))),f(a(a(N,a(N,B)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(a(a(N,B),f(a(a(N,a(N,B)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,B)),a(a(B,x),y))))),    a(a(x,a(y,a(f(a(a(N,a(N,B)),a(a(B,x),y))),a(a(B,x),y)))),f(a(a(N,a(N,B)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(N,x))),a(a(a(a(N,B),f(a(a(N,a(N,B)),a(N,x)))),a(N,x)),f(a(a(N,a(N,B)),a(N,x))))),    a(a(a(x,f(a(a(N,a(N,B)),a(N,x)))),a(f(a(a(N,a(N,B)),a(N,x))),a(N,x))),f(a(a(N,a(N,B)),a(N,x))))).
eq(a(f(a(a(N,a(N,B)),a(B,x))),a(a(a(a(N,B),f(a(a(N,a(N,B)),a(B,x)))),a(B,x)),f(a(a(N,a(N,B)),a(B,x))))),    a(x,a(a(f(a(a(N,a(N,B)),a(B,x))),a(B,x)),f(a(a(N,a(N,B)),a(B,x)))))).
eq(a(f(a(a(N,a(N,a(a(N,x),y))),z)),a(a(a(a(a(a(x,z),y),z),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))),    a(a(a(a(N,a(a(N,x),y)),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,x),y))),z)),a(a(a(a(x,a(y,z)),f(a(a(N,a(N,a(a(B,x),y))),z))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))),    a(a(a(a(N,a(a(B,x),y)),f(a(a(N,a(N,a(a(B,x),y))),z))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(N,x))),y)),a(a(a(a(a(x,f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))),    a(a(a(a(N,a(N,x)),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))).
eq(a(f(a(a(N,a(N,a(B,x))),y)),a(a(a(x,a(y,f(a(a(N,a(N,a(B,x))),y)))),y),f(a(a(N,a(N,a(B,x))),y)))),    a(a(a(a(N,a(B,x)),f(a(a(N,a(N,a(B,x))),y))),y),f(a(a(N,a(N,a(B,x))),y)))).
eq(a(f(a(a(N,a(N,x)),y)),a(a(a(a(x,y),f(a(a(N,a(N,x)),y))),y),f(a(a(N,a(N,x)),y)))),    a(a(a(a(x,y),f(a(a(N,a(N,x)),y))),y),f(a(a(N,a(N,x)),y)))).
eq(a(f(a(a(N,a(N,a(a(N,x),y))),z)),a(a(a(a(N,a(a(N,x),y)),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))),    a(a(a(a(a(a(x,z),y),z),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,x),y))),z)),a(a(a(a(N,a(a(B,x),y)),f(a(a(N,a(N,a(a(B,x),y))),z))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))),    a(a(a(a(x,a(y,z)),f(a(a(N,a(N,a(a(B,x),y))),z))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(N,x))),y)),a(a(a(a(N,a(N,x)),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))),    a(a(a(a(a(x,f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))).
eq(a(f(a(a(N,a(N,a(B,x))),y)),a(a(a(a(N,a(B,x)),f(a(a(N,a(N,a(B,x))),y))),y),f(a(a(N,a(N,a(B,x))),y)))),    a(a(a(x,a(y,f(a(a(N,a(N,a(B,x))),y)))),y),f(a(a(N,a(N,a(B,x))),y)))).
eq(a(f(a(a(N,a(N,N)),a(a(N,x),y))),a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))),    a(a(a(a(N,N),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(a(B,x),y))),a(a(a(a(x,a(y,a(a(B,x),y))),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))),    a(a(a(a(N,N),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(N,x))),a(a(a(a(a(x,f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))),    a(a(a(a(N,N),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))).
eq(a(f(a(a(N,a(N,N)),a(B,x))),a(a(a(x,a(a(B,x),f(a(a(N,a(N,N)),a(B,x))))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))),    a(a(a(a(N,N),f(a(a(N,a(N,N)),a(B,x)))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))).
eq(a(f(a(a(N,a(N,N)),x)),a(a(a(a(x,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))),    a(a(a(a(N,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))).
eq(a(f(a(a(N,a(N,N)),x)),a(a(a(a(N,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))),    a(a(a(a(x,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))).
eq(a(f(a(a(N,a(N,N)),a(a(N,x),y))),a(a(a(a(N,N),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))),    a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(a(B,x),y))),a(a(a(a(N,N),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))),    a(a(a(a(x,a(y,a(a(B,x),y))),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(N,x))),a(a(a(a(N,N),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))),    a(a(a(a(a(x,f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))).
eq(a(f(a(a(N,a(N,N)),a(B,x))),a(a(a(a(N,N),f(a(a(N,a(N,N)),a(B,x)))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))),    a(a(a(x,a(a(B,x),f(a(a(N,a(N,N)),a(B,x))))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))).
eq(a(f(a(a(N,a(N,a(a(N,x),y))),z)),a(a(a(a(a(a(x,z),y),z),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))),    a(a(a(a(a(a(N,x),y),z),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,x),y))),z)),a(a(a(a(x,a(y,z)),f(a(a(N,a(N,a(a(B,x),y))),z))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))),    a(a(a(a(x,a(y,z)),f(a(a(N,a(N,a(a(B,x),y))),z))),z),f(a(a(N,a(N,a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(N,x))),y)),a(a(a(a(a(x,f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))),    a(a(a(a(a(N,x),y),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))).
eq(a(f(a(a(N,a(N,a(B,x))),y)),a(a(a(x,a(y,f(a(a(N,a(N,a(B,x))),y)))),y),f(a(a(N,a(N,a(B,x))),y)))),    a(a(a(x,a(y,f(a(a(N,a(N,a(B,x))),y)))),y),f(a(a(N,a(N,a(B,x))),y)))).
eq(a(f(a(a(N,a(N,a(a(N,x),y))),z)),a(a(a(a(a(a(N,x),y),z),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))),    a(a(a(a(a(a(x,z),y),z),f(a(a(N,a(N,a(a(N,x),y))),z))),z),f(a(a(N,a(N,a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(N,x))),y)),a(a(a(a(a(N,x),y),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))),    a(a(a(a(a(x,f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y))),y),f(a(a(N,a(N,a(N,x))),y)))).
eq(a(f(a(a(N,a(N,N)),a(a(N,x),y))),a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))),    a(a(a(a(N,a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(a(B,x),y))),a(a(a(a(x,a(y,a(a(B,x),y))),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))),    a(a(a(a(N,a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(N,x))),a(a(a(a(a(x,f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))),    a(a(a(a(N,a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))).
eq(a(f(a(a(N,a(N,N)),a(B,x))),a(a(a(x,a(a(B,x),f(a(a(N,a(N,N)),a(B,x))))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))),    a(a(a(a(N,a(B,x)),f(a(a(N,a(N,N)),a(B,x)))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))).
eq(a(f(a(a(N,a(N,N)),x)),a(a(a(a(x,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))),    a(a(a(a(x,x),f(a(a(N,a(N,N)),x))),x),f(a(a(N,a(N,N)),x)))).
eq(a(f(a(a(N,a(N,N)),a(a(N,x),y))),a(a(a(a(N,a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))),    a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(a(B,x),y))),a(a(a(a(N,a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))),    a(a(a(a(x,a(y,a(a(B,x),y))),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(N,x))),a(a(a(a(N,a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))),    a(a(a(a(a(x,f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))).
eq(a(f(a(a(N,a(N,N)),a(B,x))),a(a(a(a(N,a(B,x)),f(a(a(N,a(N,N)),a(B,x)))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))),    a(a(a(x,a(a(B,x),f(a(a(N,a(N,N)),a(B,x))))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))).
eq(a(f(a(a(N,a(N,N)),a(a(N,x),y))),a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))),    a(a(a(a(a(a(N,x),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(a(B,x),y))),a(a(a(a(x,a(y,a(a(B,x),y))),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))),    a(a(a(a(x,a(y,a(a(B,x),y))),f(a(a(N,a(N,N)),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,N)),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(N,x))),a(a(a(a(a(x,f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))),    a(a(a(a(a(N,x),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))).
eq(a(f(a(a(N,a(N,N)),a(B,x))),a(a(a(x,a(a(B,x),f(a(a(N,a(N,N)),a(B,x))))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))),    a(a(a(x,a(a(B,x),f(a(a(N,a(N,N)),a(B,x))))),a(B,x)),f(a(a(N,a(N,N)),a(B,x))))).
eq(a(f(a(a(N,a(N,N)),a(a(N,x),y))),a(a(a(a(a(a(N,x),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))),    a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,N)),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,N)),a(N,x))),a(a(a(a(a(N,x),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))),    a(a(a(a(a(x,f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x)))),a(N,x)),f(a(a(N,a(N,N)),a(N,x))))).
eq(a(f(a(a(B,x),a(a(N,a(a(N,y),z)),u))),a(x,a(a(a(a(a(y,f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),z),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),u),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))))),    a(x,a(a(a(N,a(a(N,y),z)),u),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(a(B,y),z)),u))),a(x,a(a(a(y,a(z,f(a(a(B,x),a(a(N,a(a(B,y),z)),u))))),u),f(a(a(B,x),a(a(N,a(a(B,y),z)),u)))))),    a(x,a(a(a(N,a(a(B,y),z)),u),f(a(a(B,x),a(a(N,a(a(B,y),z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,y)),z))),a(x,a(a(a(a(y,z),f(a(a(B,x),a(a(N,a(N,y)),z)))),z),f(a(a(B,x),a(a(N,a(N,y)),z)))))),    a(x,a(a(a(N,a(N,y)),z),f(a(a(B,x),a(a(N,a(N,y)),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,y)),z))),a(x,a(a(y,a(f(a(a(B,x),a(a(N,a(B,y)),z))),z)),f(a(a(B,x),a(a(N,a(B,y)),z)))))),    a(x,a(a(a(N,a(B,y)),z),f(a(a(B,x),a(a(N,a(B,y)),z)))))).
eq(a(f(a(a(B,x),a(a(N,N),y))),a(x,a(a(a(f(a(a(B,x),a(a(N,N),y))),f(a(a(B,x),a(a(N,N),y)))),y),f(a(a(B,x),a(a(N,N),y)))))),    a(x,a(a(a(N,N),y),f(a(a(B,x),a(a(N,N),y)))))).
eq(a(f(a(a(B,x),a(a(N,B),y))),a(x,a(f(a(a(B,x),a(a(N,B),y))),a(y,f(a(a(B,x),a(a(N,B),y))))))),    a(x,a(a(a(N,B),y),f(a(a(B,x),a(a(N,B),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(N,x),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,x),a(a(N,y),z))),a(x,a(a(a(y,f(a(a(B,x),a(a(N,y),z)))),z),f(a(a(B,x),a(a(N,y),z)))))),    a(x,a(a(a(y,f(a(a(B,x),a(a(N,y),z)))),z),f(a(a(B,x),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(N,x),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(x,a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(a(a(y,f(a(a(B,x),a(a(N,B),a(a(N,y),z))))),z),f(a(a(B,x),a(a(N,B),a(a(N,y),z)))))))),    a(x,a(a(a(N,B),a(a(N,y),z)),f(a(a(B,x),a(a(N,B),a(a(N,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,B),a(a(B,y),z)))),a(x,a(f(a(a(B,x),a(a(N,B),a(a(B,y),z)))),a(y,a(z,f(a(a(B,x),a(a(N,B),a(a(B,y),z))))))))),    a(x,a(a(a(N,B),a(a(B,y),z)),f(a(a(B,x),a(a(N,B),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(a(a(x,a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z)))))),y),a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))))),    a(a(a(N,x),y),a(a(a(N,B),z),f(a(a(B,a(a(N,x),y)),a(a(N,B),z)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,B),z))),a(x,a(y,a(f(a(a(B,a(a(B,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(B,x),y)),a(a(N,B),z)))))))),    a(x,a(y,a(a(a(N,B),z),f(a(a(B,a(a(B,x),y)),a(a(N,B),z))))))).
eq(a(f(a(a(B,x),a(a(N,B),y))),a(x,a(f(a(a(B,x),a(a(N,B),y))),a(y,f(a(a(B,x),a(a(N,B),y))))))),    a(x,a(f(a(a(B,x),a(a(N,B),y))),a(y,f(a(a(B,x),a(a(N,B),y))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(a(a(N,x),y),a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))))),    a(a(a(x,a(a(a(N,B),z),f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))),y),a(a(a(N,B),z),f(a(a(B,a(a(N,x),y)),a(a(N,B),z)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(N,x),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(a(N,y),z)),u))),a(x,a(a(a(N,a(a(N,y),z)),u),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))))),    a(x,a(a(a(a(a(y,f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),z),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),u),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(a(B,y),z)),u))),a(x,a(a(a(N,a(a(B,y),z)),u),f(a(a(B,x),a(a(N,a(a(B,y),z)),u)))))),    a(x,a(a(a(y,a(z,f(a(a(B,x),a(a(N,a(a(B,y),z)),u))))),u),f(a(a(B,x),a(a(N,a(a(B,y),z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,y)),z))),a(x,a(a(a(N,a(N,y)),z),f(a(a(B,x),a(a(N,a(N,y)),z)))))),    a(x,a(a(a(a(y,z),f(a(a(B,x),a(a(N,a(N,y)),z)))),z),f(a(a(B,x),a(a(N,a(N,y)),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,y)),z))),a(x,a(a(a(N,a(B,y)),z),f(a(a(B,x),a(a(N,a(B,y)),z)))))),    a(x,a(a(y,a(f(a(a(B,x),a(a(N,a(B,y)),z))),z)),f(a(a(B,x),a(a(N,a(B,y)),z)))))).
eq(a(f(a(a(B,x),a(a(N,N),y))),a(x,a(a(a(N,N),y),f(a(a(B,x),a(a(N,N),y)))))),    a(x,a(a(a(f(a(a(B,x),a(a(N,N),y))),f(a(a(B,x),a(a(N,N),y)))),y),f(a(a(B,x),a(a(N,N),y)))))).
eq(a(f(a(a(B,x),a(a(N,B),y))),a(x,a(a(a(N,B),y),f(a(a(B,x),a(a(N,B),y)))))),    a(x,a(f(a(a(B,x),a(a(N,B),y))),a(y,f(a(a(B,x),a(a(N,B),y))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(N,x),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(a(a(x,a(a(a(N,B),z),f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))),y),a(a(a(N,B),z),f(a(a(B,a(a(N,x),y)),a(a(N,B),z)))))),    a(a(a(N,x),y),a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,B),z))),a(x,a(y,a(a(a(N,B),z),f(a(a(B,a(a(B,x),y)),a(a(N,B),z))))))),    a(x,a(y,a(f(a(a(B,a(a(B,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(B,x),y)),a(a(N,B),z)))))))).
eq(a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(x,a(a(a(N,B),a(a(N,y),z)),f(a(a(B,x),a(a(N,B),a(a(N,y),z))))))),    a(x,a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(a(a(y,f(a(a(B,x),a(a(N,B),a(a(N,y),z))))),z),f(a(a(B,x),a(a(N,B),a(a(N,y),z)))))))).
eq(a(f(a(a(B,x),a(a(N,B),a(a(B,y),z)))),a(x,a(a(a(N,B),a(a(B,y),z)),f(a(a(B,x),a(a(N,B),a(a(B,y),z))))))),    a(x,a(f(a(a(B,x),a(a(N,B),a(a(B,y),z)))),a(y,a(z,f(a(a(B,x),a(a(N,B),a(a(B,y),z))))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(a(a(N,x),y),a(a(a(N,B),z),f(a(a(B,a(a(N,x),y)),a(a(N,B),z)))))),    a(a(a(x,a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z)))))),y),a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))))).
eq(a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(x,a(a(a(y,f(a(a(N,B),a(a(B,x),a(a(N,y),z))))),z),f(a(a(N,B),a(a(B,x),a(a(N,y),z)))))))),    a(a(a(N,B),a(a(B,x),a(a(N,y),z))),f(a(a(N,B),a(a(B,x),a(a(N,y),z)))))).
eq(a(f(a(a(N,B),a(a(B,x),a(a(B,y),z)))),a(f(a(a(N,B),a(a(B,x),a(a(B,y),z)))),a(x,a(y,a(z,f(a(a(N,B),a(a(B,x),a(a(B,y),z))))))))),    a(a(a(N,B),a(a(B,x),a(a(B,y),z))),f(a(a(N,B),a(a(B,x),a(a(B,y),z)))))).
eq(a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(a(a(x,a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))),y),a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))))),    a(a(a(N,B),a(a(B,a(a(N,x),y)),z)),f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))).
eq(a(f(a(a(N,B),a(a(B,a(a(B,x),y)),z))),a(f(a(a(N,B),a(a(B,a(a(B,x),y)),z))),a(x,a(y,a(z,f(a(a(N,B),a(a(B,a(a(B,x),y)),z)))))))),    a(a(a(N,B),a(a(B,a(a(B,x),y)),z)),f(a(a(N,B),a(a(B,a(a(B,x),y)),z))))).
eq(a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(a(a(N,B),a(a(B,x),a(a(N,y),z))),f(a(a(N,B),a(a(B,x),a(a(N,y),z)))))),    a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(x,a(a(a(y,f(a(a(N,B),a(a(B,x),a(a(N,y),z))))),z),f(a(a(N,B),a(a(B,x),a(a(N,y),z)))))))).
eq(a(f(a(a(N,B),a(a(B,x),a(a(B,y),z)))),a(a(a(N,B),a(a(B,x),a(a(B,y),z))),f(a(a(N,B),a(a(B,x),a(a(B,y),z)))))),    a(f(a(a(N,B),a(a(B,x),a(a(B,y),z)))),a(x,a(y,a(z,f(a(a(N,B),a(a(B,x),a(a(B,y),z))))))))).
eq(a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(a(a(N,B),a(a(B,a(a(N,x),y)),z)),f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))),    a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(a(a(x,a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))),y),a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))))).
eq(a(f(a(a(N,B),a(a(B,a(a(B,x),y)),z))),a(a(a(N,B),a(a(B,a(a(B,x),y)),z)),f(a(a(N,B),a(a(B,a(a(B,x),y)),z))))),    a(f(a(a(N,B),a(a(B,a(a(B,x),y)),z))),a(x,a(y,a(z,f(a(a(N,B),a(a(B,a(a(B,x),y)),z)))))))).
eq(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),a(a(a(x,a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)))),y),a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z))))),    a(a(a(N,a(B,a(B,a(a(N,x),y)))),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)),a(x,a(y,a(a(f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)))))),    a(a(a(N,a(B,a(B,a(a(B,x),y)))),z),f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),a(a(a(N,a(B,a(B,a(a(N,x),y)))),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)))),    a(a(a(x,a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)))),y),a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z))))).
eq(a(f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)),a(a(a(N,a(B,a(B,a(a(B,x),y)))),z),f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)))),    a(x,a(y,a(a(f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(N,x),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)),a(a(a(a(a(x,a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),y),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u))))),    a(a(a(N,a(a(N,x),y)),z),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(a(B,x),y)),z)),u)),a(a(a(x,a(y,a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))),z),a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))),    a(a(a(N,a(a(B,x),y)),z),a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),z)),a(a(a(a(x,y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z))))),    a(a(a(N,a(N,x)),y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),z)),a(a(x,a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))),y)),a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))))),    a(a(a(N,a(B,x)),y),a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(N,x),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,N),x)),y)),a(a(a(a(y,f(a(a(B,a(a(N,N),x)),y))),a(y,f(a(a(B,a(a(N,N),x)),y)))),x),a(y,f(a(a(B,a(a(N,N),x)),y))))),    a(a(a(N,N),x),a(y,f(a(a(B,a(a(N,N),x)),y))))).
eq(a(f(a(a(B,a(a(N,B),x)),y)),a(a(y,f(a(a(B,a(a(N,B),x)),y))),a(x,a(y,f(a(a(B,a(a(N,B),x)),y)))))),    a(a(a(N,B),x),a(y,f(a(a(B,a(a(N,B),x)),y))))).
eq(a(f(a(a(B,a(a(N,x),y)),z)),a(a(a(x,a(z,f(a(a(B,a(a(N,x),y)),z)))),y),a(z,f(a(a(B,a(a(N,x),y)),z))))),    a(a(a(x,a(z,f(a(a(B,a(a(N,x),y)),z)))),y),a(z,f(a(a(B,a(a(N,x),y)),z))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))),    a(a(a(N,B),x),a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(B,y),z))),a(a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z))))),a(x,a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z)))))))),    a(a(a(N,B),x),a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))),    a(a(a(N,B),x),a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,B),a(a(N,x),y))),z)),a(a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z))),a(a(a(x,a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))),y),a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))))),    a(a(a(N,B),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,B),a(a(B,x),y))),z)),a(a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))),a(x,a(y,a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))))))),    a(a(a(N,B),a(a(B,x),y)),a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(N,y))),a(a(a(y,a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y)))))),f(a(a(B,a(a(N,B),x)),a(N,y)))),a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y))))))),    a(a(a(N,B),x),a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y)))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(B,y))),a(y,a(f(a(a(B,a(a(N,B),x)),a(B,y))),a(x,a(a(B,y),f(a(a(B,a(a(N,B),x)),a(B,y)))))))),    a(a(a(N,B),x),a(a(B,y),f(a(a(B,a(a(N,B),x)),a(B,y)))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))),    a(a(a(N,B),x),a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,B),x)),y)),a(a(y,f(a(a(B,a(a(N,B),x)),y))),a(x,a(y,f(a(a(B,a(a(N,B),x)),y)))))),    a(a(y,f(a(a(B,a(a(N,B),x)),y))),a(x,a(y,f(a(a(B,a(a(N,B),x)),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(N,x),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)),a(a(a(N,a(a(N,x),y)),z),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u))))),    a(a(a(a(a(x,a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),y),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(a(B,x),y)),z)),u)),a(a(a(N,a(a(B,x),y)),z),a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))),    a(a(a(x,a(y,a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))),z),a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),z)),a(a(a(N,a(N,x)),y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z))))),    a(a(a(a(x,y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),z)),a(a(a(N,a(B,x)),y),a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))))),    a(a(x,a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))),y)),a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(N,x),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,N),x)),y)),a(a(a(N,N),x),a(y,f(a(a(B,a(a(N,N),x)),y))))),    a(a(a(a(y,f(a(a(B,a(a(N,N),x)),y))),a(y,f(a(a(B,a(a(N,N),x)),y)))),x),a(y,f(a(a(B,a(a(N,N),x)),y))))).
eq(a(f(a(a(B,a(a(N,B),x)),y)),a(a(a(N,B),x),a(y,f(a(a(B,a(a(N,B),x)),y))))),    a(a(y,f(a(a(B,a(a(N,B),x)),y))),a(x,a(y,f(a(a(B,a(a(N,B),x)),y)))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(N,B),x),a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))))),    a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(B,y),z))),a(a(a(N,B),x),a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z))))))),    a(a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z))))),a(x,a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z)))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(N,B),x),a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))))),    a(a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(N,B),x),a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))))),    a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),a(a(N,x),y))),z)),a(a(a(N,B),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z))))),    a(a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z))),a(a(a(x,a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))),y),a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))))).
eq(a(f(a(a(B,a(a(N,B),a(a(B,x),y))),z)),a(a(a(N,B),a(a(B,x),y)),a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))))),    a(a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))),a(x,a(y,a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(N,y))),a(a(a(N,B),x),a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y)))))),    a(a(a(y,a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y)))))),f(a(a(B,a(a(N,B),x)),a(N,y)))),a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(B,y))),a(a(a(N,B),x),a(a(B,y),f(a(a(B,a(a(N,B),x)),a(B,y)))))),    a(y,a(f(a(a(B,a(a(N,B),x)),a(B,y))),a(x,a(a(B,y),f(a(a(B,a(a(N,B),x)),a(B,y)))))))).
eq(a(f(a(a(N,a(a(B,x),a(a(N,y),z))),u)),a(a(a(x,a(a(a(y,f(a(a(N,a(a(B,x),a(a(N,y),z))),u))),z),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),u),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),    a(a(a(N,a(a(B,x),a(a(N,y),z))),u),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,x),a(a(B,y),z))),u)),a(a(a(x,a(y,a(z,f(a(a(N,a(a(B,x),a(a(B,y),z))),u))))),u),f(a(a(N,a(a(B,x),a(a(B,y),z))),u)))),    a(a(a(N,a(a(B,x),a(a(B,y),z))),u),f(a(a(N,a(a(B,x),a(a(B,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)),a(a(a(a(a(x,a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),y),a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),u),f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),    a(a(a(N,a(a(B,a(a(N,x),y)),z)),u),f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)),a(a(a(x,a(y,a(z,f(a(a(N,a(a(B,a(a(B,x),y)),z)),u))))),u),f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)))),    a(a(a(N,a(a(B,a(a(B,x),y)),z)),u),f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(N,x)),y)),z)),a(a(a(a(x,z),a(y,f(a(a(N,a(a(B,a(N,x)),y)),z)))),z),f(a(a(N,a(a(B,a(N,x)),y)),z)))),    a(a(a(N,a(a(B,a(N,x)),y)),z),f(a(a(N,a(a(B,a(N,x)),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),y)),z)),a(a(x,a(a(y,f(a(a(N,a(a(B,a(B,x)),y)),z))),z)),f(a(a(N,a(a(B,a(B,x)),y)),z)))),    a(a(a(N,a(a(B,a(B,x)),y)),z),f(a(a(N,a(a(B,a(B,x)),y)),z)))).
eq(a(f(a(a(N,a(a(B,N),x)),y)),a(a(a(a(x,f(a(a(N,a(a(B,N),x)),y))),f(a(a(N,a(a(B,N),x)),y))),y),f(a(a(N,a(a(B,N),x)),y)))),    a(a(a(N,a(a(B,N),x)),y),f(a(a(N,a(a(B,N),x)),y)))).
eq(a(f(a(a(N,a(a(B,B),x)),y)),a(a(x,f(a(a(N,a(a(B,B),x)),y))),a(y,f(a(a(N,a(a(B,B),x)),y))))),    a(a(a(N,a(a(B,B),x)),y),f(a(a(N,a(a(B,B),x)),y)))).
eq(a(f(a(a(N,a(a(B,B),a(a(N,x),y))),z)),a(a(a(a(x,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),a(z,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))))),    a(a(a(N,a(a(B,B),a(a(N,x),y))),z),f(a(a(N,a(a(B,B),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,B),a(a(B,x),y))),z)),a(a(x,a(y,f(a(a(N,a(a(B,B),a(a(B,x),y))),z)))),a(z,f(a(a(N,a(a(B,B),a(a(B,x),y))),z))))),    a(a(a(N,a(a(B,B),a(a(B,x),y))),z),f(a(a(N,a(a(B,B),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,B),x)),a(a(N,y),z))),a(a(x,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),a(a(a(y,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),z),f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))))),    a(a(a(N,a(a(B,B),x)),a(a(N,y),z)),f(a(a(N,a(a(B,B),x)),a(a(N,y),z))))).
eq(a(f(a(a(N,a(a(B,B),x)),a(a(B,y),z))),a(a(x,f(a(a(N,a(a(B,B),x)),a(a(B,y),z)))),a(y,a(z,f(a(a(N,a(a(B,B),x)),a(a(B,y),z))))))),    a(a(a(N,a(a(B,B),x)),a(a(B,y),z)),f(a(a(N,a(a(B,B),x)),a(a(B,y),z))))).
eq(a(f(a(a(N,a(a(B,B),a(N,x))),y)),a(a(a(x,a(y,f(a(a(N,a(a(B,B),a(N,x))),y)))),f(a(a(N,a(a(B,B),a(N,x))),y))),a(y,f(a(a(N,a(a(B,B),a(N,x))),y))))),    a(a(a(N,a(a(B,B),a(N,x))),y),f(a(a(N,a(a(B,B),a(N,x))),y)))).
eq(a(f(a(a(N,a(a(B,B),a(B,x))),y)),a(x,a(f(a(a(N,a(a(B,B),a(B,x))),y)),a(y,f(a(a(N,a(a(B,B),a(B,x))),y)))))),    a(a(a(N,a(a(B,B),a(B,x))),y),f(a(a(N,a(a(B,B),a(B,x))),y)))).
eq(a(f(a(a(N,a(a(B,B),x)),y)),a(a(x,f(a(a(N,a(a(B,B),x)),y))),a(y,f(a(a(N,a(a(B,B),x)),y))))),    a(a(x,f(a(a(N,a(a(B,B),x)),y))),a(y,f(a(a(N,a(a(B,B),x)),y))))).
eq(a(f(a(a(N,a(a(B,x),a(a(N,y),z))),u)),a(a(a(N,a(a(B,x),a(a(N,y),z))),u),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),    a(a(a(x,a(a(a(y,f(a(a(N,a(a(B,x),a(a(N,y),z))),u))),z),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),u),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,x),a(a(B,y),z))),u)),a(a(a(N,a(a(B,x),a(a(B,y),z))),u),f(a(a(N,a(a(B,x),a(a(B,y),z))),u)))),    a(a(a(x,a(y,a(z,f(a(a(N,a(a(B,x),a(a(B,y),z))),u))))),u),f(a(a(N,a(a(B,x),a(a(B,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)),a(a(a(N,a(a(B,a(a(N,x),y)),z)),u),f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),    a(a(a(a(a(x,a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),y),a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),u),f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)),a(a(a(N,a(a(B,a(a(B,x),y)),z)),u),f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)))),    a(a(a(x,a(y,a(z,f(a(a(N,a(a(B,a(a(B,x),y)),z)),u))))),u),f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(N,x)),y)),z)),a(a(a(N,a(a(B,a(N,x)),y)),z),f(a(a(N,a(a(B,a(N,x)),y)),z)))),    a(a(a(a(x,z),a(y,f(a(a(N,a(a(B,a(N,x)),y)),z)))),z),f(a(a(N,a(a(B,a(N,x)),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),y)),z)),a(a(a(N,a(a(B,a(B,x)),y)),z),f(a(a(N,a(a(B,a(B,x)),y)),z)))),    a(a(x,a(a(y,f(a(a(N,a(a(B,a(B,x)),y)),z))),z)),f(a(a(N,a(a(B,a(B,x)),y)),z)))).
eq(a(f(a(a(N,a(a(B,N),x)),y)),a(a(a(N,a(a(B,N),x)),y),f(a(a(N,a(a(B,N),x)),y)))),    a(a(a(a(x,f(a(a(N,a(a(B,N),x)),y))),f(a(a(N,a(a(B,N),x)),y))),y),f(a(a(N,a(a(B,N),x)),y)))).
eq(a(f(a(a(N,a(a(B,B),x)),y)),a(a(a(N,a(a(B,B),x)),y),f(a(a(N,a(a(B,B),x)),y)))),    a(a(x,f(a(a(N,a(a(B,B),x)),y))),a(y,f(a(a(N,a(a(B,B),x)),y))))).
eq(a(f(a(a(N,a(a(B,B),a(a(N,x),y))),z)),a(a(a(N,a(a(B,B),a(a(N,x),y))),z),f(a(a(N,a(a(B,B),a(a(N,x),y))),z)))),    a(a(a(a(x,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),a(z,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))))).
eq(a(f(a(a(N,a(a(B,B),a(a(B,x),y))),z)),a(a(a(N,a(a(B,B),a(a(B,x),y))),z),f(a(a(N,a(a(B,B),a(a(B,x),y))),z)))),    a(a(x,a(y,f(a(a(N,a(a(B,B),a(a(B,x),y))),z)))),a(z,f(a(a(N,a(a(B,B),a(a(B,x),y))),z))))).
eq(a(f(a(a(N,a(a(B,B),x)),a(a(N,y),z))),a(a(a(N,a(a(B,B),x)),a(a(N,y),z)),f(a(a(N,a(a(B,B),x)),a(a(N,y),z))))),    a(a(x,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),a(a(a(y,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),z),f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))))).
eq(a(f(a(a(N,a(a(B,B),x)),a(a(B,y),z))),a(a(a(N,a(a(B,B),x)),a(a(B,y),z)),f(a(a(N,a(a(B,B),x)),a(a(B,y),z))))),    a(a(x,f(a(a(N,a(a(B,B),x)),a(a(B,y),z)))),a(y,a(z,f(a(a(N,a(a(B,B),x)),a(a(B,y),z))))))).
eq(a(f(a(a(N,a(a(B,B),a(N,x))),y)),a(a(a(N,a(a(B,B),a(N,x))),y),f(a(a(N,a(a(B,B),a(N,x))),y)))),    a(a(a(x,a(y,f(a(a(N,a(a(B,B),a(N,x))),y)))),f(a(a(N,a(a(B,B),a(N,x))),y))),a(y,f(a(a(N,a(a(B,B),a(N,x))),y))))).
eq(a(f(a(a(N,a(a(B,B),a(B,x))),y)),a(a(a(N,a(a(B,B),a(B,x))),y),f(a(a(N,a(a(B,B),a(B,x))),y)))),    a(x,a(f(a(a(N,a(a(B,B),a(B,x))),y)),a(y,f(a(a(N,a(a(B,B),a(B,x))),y)))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(N,y),z))),a(a(a(x,a(a(a(y,f(a(a(N,a(N,a(B,x))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),    a(a(a(N,a(N,a(B,x))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(B,y),z))),a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,x))),a(a(B,y),z)))))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))),    a(a(a(N,a(N,a(B,x))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)),a(a(a(a(a(x,a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),y),a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),    a(a(a(N,a(N,a(B,a(a(N,x),y)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)),a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,a(a(B,x),y)))),z))))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))),    a(a(a(N,a(N,a(B,a(a(B,x),y)))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),y)),a(a(a(a(x,y),a(y,f(a(a(N,a(N,a(B,a(N,x)))),y)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))),    a(a(a(N,a(N,a(B,a(N,x)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),y)),a(a(x,a(a(y,f(a(a(N,a(N,a(B,a(B,x)))),y))),y)),f(a(a(N,a(N,a(B,a(B,x)))),y)))),    a(a(a(N,a(N,a(B,a(B,x)))),y),f(a(a(N,a(N,a(B,a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,N))),x)),a(a(a(a(x,f(a(a(N,a(N,a(B,N))),x))),f(a(a(N,a(N,a(B,N))),x))),x),f(a(a(N,a(N,a(B,N))),x)))),    a(a(a(N,a(N,a(B,N))),x),f(a(a(N,a(N,a(B,N))),x)))).
eq(a(f(a(a(N,a(N,a(B,B))),x)),a(a(x,f(a(a(N,a(N,a(B,B))),x))),a(x,f(a(a(N,a(N,a(B,B))),x))))),    a(a(a(N,a(N,a(B,B))),x),f(a(a(N,a(N,a(B,B))),x)))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))),    a(a(a(N,a(N,a(B,B))),a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(B,x),y))),a(a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))),a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))))),    a(a(a(N,a(N,a(B,B))),a(a(B,x),y)),f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))),    a(a(a(N,a(N,a(B,B))),a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(N,x))),a(a(a(x,a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x))))),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))))),    a(a(a(N,a(N,a(B,B))),a(N,x)),f(a(a(N,a(N,a(B,B))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(x,a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(a(B,x),f(a(a(N,a(N,a(B,B))),a(B,x))))))),    a(a(a(N,a(N,a(B,B))),a(B,x)),f(a(a(N,a(N,a(B,B))),a(B,x))))).
eq(a(f(a(a(N,a(N,a(B,B))),x)),a(a(x,f(a(a(N,a(N,a(B,B))),x))),a(x,f(a(a(N,a(N,a(B,B))),x))))),    a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),x))),x),f(a(a(N,a(N,a(B,B))),x)))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(a(a(x,a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))),y),a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))))),    a(a(a(N,a(N,B)),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(x,a(y,a(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))))),    a(a(a(N,a(N,B)),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(N,y),z))),a(a(a(N,a(N,a(B,x))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),    a(a(a(x,a(a(a(y,f(a(a(N,a(N,a(B,x))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(B,y),z))),a(a(a(N,a(N,a(B,x))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))),    a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,x))),a(a(B,y),z)))))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)),a(a(a(N,a(N,a(B,a(a(N,x),y)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),    a(a(a(a(a(x,a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),y),a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)),a(a(a(N,a(N,a(B,a(a(B,x),y)))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))),    a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,a(a(B,x),y)))),z))))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),y)),a(a(a(N,a(N,a(B,a(N,x)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))),    a(a(a(a(x,y),a(y,f(a(a(N,a(N,a(B,a(N,x)))),y)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),y)),a(a(a(N,a(N,a(B,a(B,x)))),y),f(a(a(N,a(N,a(B,a(B,x)))),y)))),    a(a(x,a(a(y,f(a(a(N,a(N,a(B,a(B,x)))),y))),y)),f(a(a(N,a(N,a(B,a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,N))),x)),a(a(a(N,a(N,a(B,N))),x),f(a(a(N,a(N,a(B,N))),x)))),    a(a(a(a(x,f(a(a(N,a(N,a(B,N))),x))),f(a(a(N,a(N,a(B,N))),x))),x),f(a(a(N,a(N,a(B,N))),x)))).
eq(a(f(a(a(N,a(N,a(B,B))),x)),a(a(a(N,a(N,a(B,B))),x),f(a(a(N,a(N,a(B,B))),x)))),    a(a(x,f(a(a(N,a(N,a(B,B))),x))),a(x,f(a(a(N,a(N,a(B,B))),x))))).
eq(a(f(a(a(N,a(N,a(B,B))),x)),a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),x))),x),f(a(a(N,a(N,a(B,B))),x)))),    a(a(x,f(a(a(N,a(N,a(B,B))),x))),a(x,f(a(a(N,a(N,a(B,B))),x))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(N,a(N,a(B,B))),a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y))))),    a(a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(B,x),y))),a(a(a(N,a(N,a(B,B))),a(a(B,x),y)),f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))),    a(a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))),a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(N,a(N,a(B,B))),a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y))))),    a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(N,x))),a(a(a(N,a(N,a(B,B))),a(N,x)),f(a(a(N,a(N,a(B,B))),a(N,x))))),    a(a(a(x,a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x))))),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(a(a(N,a(N,a(B,B))),a(B,x)),f(a(a(N,a(N,a(B,B))),a(B,x))))),    a(x,a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(a(B,x),f(a(a(N,a(N,a(B,B))),a(B,x))))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(a(a(N,a(N,B)),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))),    a(a(a(x,a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))),y),a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(a(a(N,a(N,B)),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))),    a(x,a(y,a(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(N,u),v))))),a(x,a(y,a(z,a(a(a(u,f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(N,u),v)))))),v),f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(N,u),v)))))))))),    a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(N,u),v)))))))))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(B,u),v))))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(B,u),v))))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(B,u),v))))))))))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(B,a(a(N,z),u)),v)))),a(x,a(y,a(a(a(z,a(v,f(a(a(B,x),a(a(B,y),a(a(B,a(a(N,z),u)),v)))))),u),a(v,f(a(a(B,x),a(a(B,y),a(a(B,a(a(N,z),u)),v))))))))),    a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,x),a(a(B,y),a(a(B,a(a(N,z),u)),v))))))))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(B,a(a(B,z),u)),v)))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,y),a(a(B,a(a(B,z),u)),v)))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,y),a(a(B,a(a(B,z),u)),v)))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(N,y),z)),a(a(B,u),v)))),a(x,a(a(a(y,a(u,a(v,f(a(a(B,x),a(a(B,a(a(N,y),z)),a(a(B,u),v))))))),z),a(u,a(v,f(a(a(B,x),a(a(B,a(a(N,y),z)),a(a(B,u),v))))))))),    a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,x),a(a(B,a(a(N,y),z)),a(a(B,u),v))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(B,u),v)))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(B,u),v)))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(B,u),v)))))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(B,z),a(a(B,u),v)))),a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,z),a(a(B,u),v)))))))),y),a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,z),a(a(B,u),v))))))))),    a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,z),a(a(B,u),v))))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(B,u),v)))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(B,u),v)))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(B,u),v)))))))))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(N,u),v))))),a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(N,u),v)))))))))),    a(x,a(y,a(z,a(a(a(u,f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(N,u),v)))))),v),f(a(a(B,x),a(a(B,y),a(a(B,z),a(a(N,u),v)))))))))).
eq(a(f(a(a(B,x),a(a(B,y),a(a(B,a(a(N,z),u)),v)))),a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,x),a(a(B,y),a(a(B,a(a(N,z),u)),v))))))))),    a(x,a(y,a(a(a(z,a(v,f(a(a(B,x),a(a(B,y),a(a(B,a(a(N,z),u)),v)))))),u),a(v,f(a(a(B,x),a(a(B,y),a(a(B,a(a(N,z),u)),v))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(N,y),z)),a(a(B,u),v)))),a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,x),a(a(B,a(a(N,y),z)),a(a(B,u),v))))))))),    a(x,a(a(a(y,a(u,a(v,f(a(a(B,x),a(a(B,a(a(N,y),z)),a(a(B,u),v))))))),z),a(u,a(v,f(a(a(B,x),a(a(B,a(a(N,y),z)),a(a(B,u),v))))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(B,z),a(a(B,u),v)))),a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,z),a(a(B,u),v))))))))),    a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,z),a(a(B,u),v)))))))),y),a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,z),a(a(B,u),v))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(N,u),v)))),a(x,a(y,a(z,a(a(a(u,f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(N,u),v))))),v),f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(N,u),v))))))))),    a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(N,u),v))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,y),a(a(N,z),u))),v))),a(x,a(y,a(a(a(z,a(v,f(a(a(B,x),a(a(B,a(a(B,y),a(a(N,z),u))),v))))),u),a(v,f(a(a(B,x),a(a(B,a(a(B,y),a(a(N,z),u))),v)))))))),    a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,x),a(a(B,a(a(B,y),a(a(N,z),u))),v)))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,y),a(a(B,z),u))),v))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,y),a(a(B,z),u))),v))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,y),a(a(B,z),u))),v))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,a(a(N,y),z)),u)),v))),a(x,a(a(a(y,a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,a(a(N,y),z)),u)),v)))))),z),a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,a(a(N,y),z)),u)),v)))))))),    a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,a(a(N,y),z)),u)),v)))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,a(a(B,y),z)),u)),v))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,a(a(B,y),z)),u)),v))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,a(a(B,y),z)),u)),v))))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(B,a(a(B,z),u)),v))),a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,a(a(B,z),u)),v))))))),y),a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,a(a(B,z),u)),v)))))))),    a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,a(a(B,z),u)),v)))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(B,a(a(B,z),u)),v))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),y)),a(a(B,a(a(B,z),u)),v))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),y)),a(a(B,a(a(B,z),u)),v))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(N,u),v)))),a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(N,u),v))))))))),    a(x,a(y,a(z,a(a(a(u,f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(N,u),v))))),v),f(a(a(B,x),a(a(B,a(a(B,y),z)),a(a(N,u),v))))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,y),a(a(N,z),u))),v))),a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,x),a(a(B,a(a(B,y),a(a(N,z),u))),v)))))))),    a(x,a(y,a(a(a(z,a(v,f(a(a(B,x),a(a(B,a(a(B,y),a(a(N,z),u))),v))))),u),a(v,f(a(a(B,x),a(a(B,a(a(B,y),a(a(N,z),u))),v)))))))).
eq(a(f(a(a(B,x),a(a(B,a(a(B,a(a(N,y),z)),u)),v))),a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,a(a(N,y),z)),u)),v)))))))),    a(x,a(a(a(y,a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,a(a(N,y),z)),u)),v)))))),z),a(u,a(v,f(a(a(B,x),a(a(B,a(a(B,a(a(N,y),z)),u)),v)))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(B,a(a(B,z),u)),v))),a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,a(a(B,z),u)),v)))))))),    a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,a(a(B,z),u)),v))))))),y),a(z,a(u,a(v,f(a(a(B,a(a(N,x),y)),a(a(B,a(a(B,z),u)),v)))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(N,u),v)))),a(x,a(y,a(z,a(a(a(u,f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(N,u),v))))),v),f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(N,u),v))))))))),    a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(N,u),v))))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(B,a(a(N,z),u)),v))),a(x,a(y,a(a(a(z,a(v,f(a(a(B,a(a(B,x),y)),a(a(B,a(a(N,z),u)),v))))),u),a(v,f(a(a(B,a(a(B,x),y)),a(a(B,a(a(N,z),u)),v)))))))),    a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,a(a(B,x),y)),a(a(B,a(a(N,z),u)),v)))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(N,y),z))),a(a(B,u),v))),a(x,a(a(a(y,a(u,a(v,f(a(a(B,a(a(B,x),a(a(N,y),z))),a(a(B,u),v)))))),z),a(u,a(v,f(a(a(B,a(a(B,x),a(a(N,y),z))),a(a(B,u),v)))))))),    a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,a(a(B,x),a(a(N,y),z))),a(a(B,u),v)))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(B,u),v))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(B,u),v))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(B,u),v))))))))).
eq(a(f(a(a(B,a(a(B,a(a(N,x),y)),z)),a(a(B,u),v))),a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),z)),a(a(B,u),v))))))),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),z)),a(a(B,u),v)))))))),    a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),z)),a(a(B,u),v)))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(B,u),v))),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(B,u),v))))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(B,u),v))))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(N,u),v)))),a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(N,u),v))))))))),    a(x,a(y,a(z,a(a(a(u,f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(N,u),v))))),v),f(a(a(B,a(a(B,x),y)),a(a(B,z),a(a(N,u),v))))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(B,a(a(N,z),u)),v))),a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,a(a(B,x),y)),a(a(B,a(a(N,z),u)),v)))))))),    a(x,a(y,a(a(a(z,a(v,f(a(a(B,a(a(B,x),y)),a(a(B,a(a(N,z),u)),v))))),u),a(v,f(a(a(B,a(a(B,x),y)),a(a(B,a(a(N,z),u)),v)))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(N,y),z))),a(a(B,u),v))),a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,a(a(B,x),a(a(N,y),z))),a(a(B,u),v)))))))),    a(x,a(a(a(y,a(u,a(v,f(a(a(B,a(a(B,x),a(a(N,y),z))),a(a(B,u),v)))))),z),a(u,a(v,f(a(a(B,a(a(B,x),a(a(N,y),z))),a(a(B,u),v)))))))).
eq(a(f(a(a(B,a(a(B,a(a(N,x),y)),z)),a(a(B,u),v))),a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),z)),a(a(B,u),v)))))))),    a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),z)),a(a(B,u),v))))))),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),z)),a(a(B,u),v)))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(N,u),v))),a(x,a(y,a(z,a(a(a(u,f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(N,u),v)))),v),f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(N,u),v)))))))),    a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(N,u),v)))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,y),a(a(N,z),u)))),v)),a(x,a(y,a(a(a(z,a(v,f(a(a(B,a(a(B,x),a(a(B,y),a(a(N,z),u)))),v)))),u),a(v,f(a(a(B,a(a(B,x),a(a(B,y),a(a(N,z),u)))),v))))))),    a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,a(a(B,x),a(a(B,y),a(a(N,z),u)))),v))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,y),a(a(B,z),u)))),v)),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,y),a(a(B,z),u)))),v)))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,y),a(a(B,z),u)))),v)))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,a(a(N,y),z)),u))),v)),a(x,a(a(a(y,a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,a(a(N,y),z)),u))),v))))),z),a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,a(a(N,y),z)),u))),v))))))),    a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,a(a(N,y),z)),u))),v))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,a(a(B,y),z)),u))),v)),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,a(a(B,y),z)),u))),v)))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,a(a(B,y),z)),u))),v)))))))).
eq(a(f(a(a(B,a(a(B,a(a(N,x),y)),a(a(B,z),u))),v)),a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),a(a(B,z),u))),v)))))),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),a(a(B,z),u))),v))))))),    a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),a(a(B,z),u))),v))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),y)),a(a(B,z),u))),v)),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),y)),a(a(B,z),u))),v)))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),y)),a(a(B,z),u))),v)))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(N,u),v))),a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(N,u),v)))))))),    a(x,a(y,a(z,a(a(a(u,f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(N,u),v)))),v),f(a(a(B,a(a(B,x),a(a(B,y),z))),a(a(N,u),v)))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,y),a(a(N,z),u)))),v)),a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,a(a(B,x),a(a(B,y),a(a(N,z),u)))),v))))))),    a(x,a(y,a(a(a(z,a(v,f(a(a(B,a(a(B,x),a(a(B,y),a(a(N,z),u)))),v)))),u),a(v,f(a(a(B,a(a(B,x),a(a(B,y),a(a(N,z),u)))),v))))))).
eq(a(f(a(a(B,a(a(B,x),a(a(B,a(a(N,y),z)),u))),v)),a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,a(a(N,y),z)),u))),v))))))),    a(x,a(a(a(y,a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,a(a(N,y),z)),u))),v))))),z),a(u,a(v,f(a(a(B,a(a(B,x),a(a(B,a(a(N,y),z)),u))),v))))))).
eq(a(f(a(a(B,a(a(B,a(a(N,x),y)),a(a(B,z),u))),v)),a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),a(a(B,z),u))),v))))))),    a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),a(a(B,z),u))),v)))))),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(N,x),y)),a(a(B,z),u))),v))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(N,u),v))),a(x,a(y,a(z,a(a(a(u,f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(N,u),v)))),v),f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(N,u),v)))))))),    a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(N,u),v)))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),y)),a(a(N,z),u))),v)),a(x,a(y,a(a(a(z,a(v,f(a(a(B,a(a(B,a(a(B,x),y)),a(a(N,z),u))),v)))),u),a(v,f(a(a(B,a(a(B,a(a(B,x),y)),a(a(N,z),u))),v))))))),    a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,a(a(B,a(a(B,x),y)),a(a(N,z),u))),v))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),a(a(N,y),z))),u)),v)),a(x,a(a(a(y,a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),a(a(N,y),z))),u)),v))))),z),a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),a(a(N,y),z))),u)),v))))))),    a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),a(a(N,y),z))),u)),v))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),a(a(B,y),z))),u)),v)),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),a(a(B,y),z))),u)),v)))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),a(a(B,y),z))),u)),v)))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,a(a(N,x),y)),z)),u)),v)),a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,a(a(N,x),y)),z)),u)),v)))))),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,a(a(N,x),y)),z)),u)),v))))))),    a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,a(a(N,x),y)),z)),u)),v))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,a(a(B,x),y)),z)),u)),v)),a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,a(a(B,x),y)),z)),u)),v)))))))),    a(x,a(y,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,a(a(B,x),y)),z)),u)),v)))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(N,u),v))),a(x,a(y,a(z,a(a(a(N,u),v),f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(N,u),v)))))))),    a(x,a(y,a(z,a(a(a(u,f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(N,u),v)))),v),f(a(a(B,a(a(B,a(a(B,x),y)),z)),a(a(N,u),v)))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),y)),a(a(N,z),u))),v)),a(x,a(y,a(a(a(N,z),u),a(v,f(a(a(B,a(a(B,a(a(B,x),y)),a(a(N,z),u))),v))))))),    a(x,a(y,a(a(a(z,a(v,f(a(a(B,a(a(B,a(a(B,x),y)),a(a(N,z),u))),v)))),u),a(v,f(a(a(B,a(a(B,a(a(B,x),y)),a(a(N,z),u))),v))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,x),a(a(N,y),z))),u)),v)),a(x,a(a(a(N,y),z),a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),a(a(N,y),z))),u)),v))))))),    a(x,a(a(a(y,a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),a(a(N,y),z))),u)),v))))),z),a(u,a(v,f(a(a(B,a(a(B,a(a(B,x),a(a(N,y),z))),u)),v))))))).
eq(a(f(a(a(B,a(a(B,a(a(B,a(a(N,x),y)),z)),u)),v)),a(a(a(N,x),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,a(a(N,x),y)),z)),u)),v))))))),    a(a(a(x,a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,a(a(N,x),y)),z)),u)),v)))))),y),a(z,a(u,a(v,f(a(a(B,a(a(B,a(a(B,a(a(N,x),y)),z)),u)),v))))))).
eq(a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(x,a(a(a(y,f(a(a(N,B),a(a(B,x),a(a(N,y),z))))),z),f(a(a(N,B),a(a(B,x),a(a(N,y),z)))))))),    a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(N,B),a(a(B,x),a(a(N,y),z)))))))).
eq(a(f(a(a(N,B),a(a(B,x),a(a(B,y),z)))),a(f(a(a(N,B),a(a(B,x),a(a(B,y),z)))),a(x,a(y,a(z,f(a(a(N,B),a(a(B,x),a(a(B,y),z))))))))),    a(f(a(a(N,B),a(a(B,x),a(a(B,y),z)))),a(x,a(y,a(z,f(a(a(N,B),a(a(B,x),a(a(B,y),z))))))))).
eq(a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(a(a(x,a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))),y),a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))))),    a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(a(a(N,x),y),a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))))).
eq(a(f(a(a(N,B),a(a(B,a(a(B,x),y)),z))),a(f(a(a(N,B),a(a(B,a(a(B,x),y)),z))),a(x,a(y,a(z,f(a(a(N,B),a(a(B,a(a(B,x),y)),z)))))))),    a(f(a(a(N,B),a(a(B,a(a(B,x),y)),z))),a(x,a(y,a(z,f(a(a(N,B),a(a(B,a(a(B,x),y)),z)))))))).
eq(a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(N,B),a(a(B,x),a(a(N,y),z)))))))),    a(f(a(a(N,B),a(a(B,x),a(a(N,y),z)))),a(x,a(a(a(y,f(a(a(N,B),a(a(B,x),a(a(N,y),z))))),z),f(a(a(N,B),a(a(B,x),a(a(N,y),z)))))))).
eq(a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(a(a(N,x),y),a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))))),    a(f(a(a(N,B),a(a(B,a(a(N,x),y)),z))),a(a(a(x,a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))),y),a(z,f(a(a(N,B),a(a(B,a(a(N,x),y)),z))))))).
eq(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),a(a(a(x,a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)))),y),a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z))))),    a(a(a(N,x),y),a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z))))).
eq(a(f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)),a(x,a(y,a(a(f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)))))),    a(x,a(y,a(a(f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(B,x),y)))),z)))))).
eq(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),a(a(a(N,x),y),a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z))))),    a(a(a(x,a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)))),y),a(a(f(a(a(N,a(B,a(B,a(a(N,x),y)))),z)),z),f(a(a(N,a(B,a(B,a(a(N,x),y)))),z))))).
eq(a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(x,a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(a(a(y,f(a(a(B,x),a(a(N,B),a(a(N,y),z))))),z),f(a(a(B,x),a(a(N,B),a(a(N,y),z)))))))),    a(x,a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(B,x),a(a(N,B),a(a(N,y),z)))))))).
eq(a(f(a(a(B,x),a(a(N,B),a(a(B,y),z)))),a(x,a(f(a(a(B,x),a(a(N,B),a(a(B,y),z)))),a(y,a(z,f(a(a(B,x),a(a(N,B),a(a(B,y),z))))))))),    a(x,a(f(a(a(B,x),a(a(N,B),a(a(B,y),z)))),a(y,a(z,f(a(a(B,x),a(a(N,B),a(a(B,y),z))))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(a(a(x,a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z)))))),y),a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))))),    a(a(a(N,x),y),a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,B),z))),a(x,a(y,a(f(a(a(B,a(a(B,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(B,x),y)),a(a(N,B),z)))))))),    a(x,a(y,a(f(a(a(B,a(a(B,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(B,x),y)),a(a(N,B),z)))))))).
eq(a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(x,a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(B,x),a(a(N,B),a(a(N,y),z)))))))),    a(x,a(f(a(a(B,x),a(a(N,B),a(a(N,y),z)))),a(a(a(y,f(a(a(B,x),a(a(N,B),a(a(N,y),z))))),z),f(a(a(B,x),a(a(N,B),a(a(N,y),z)))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(a(a(N,x),y),a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))))),    a(a(a(x,a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z)))))),y),a(f(a(a(B,a(a(N,x),y)),a(a(N,B),z))),a(z,f(a(a(B,a(a(N,x),y)),a(a(N,B),z))))))).
eq(a(f(a(a(N,a(a(B,B),a(a(N,x),y))),z)),a(a(a(a(x,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),a(z,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))))),    a(a(a(a(N,x),y),f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),a(z,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))))).
eq(a(f(a(a(N,a(a(B,B),a(a(B,x),y))),z)),a(a(x,a(y,f(a(a(N,a(a(B,B),a(a(B,x),y))),z)))),a(z,f(a(a(N,a(a(B,B),a(a(B,x),y))),z))))),    a(a(x,a(y,f(a(a(N,a(a(B,B),a(a(B,x),y))),z)))),a(z,f(a(a(N,a(a(B,B),a(a(B,x),y))),z))))).
eq(a(f(a(a(N,a(a(B,B),x)),a(a(N,y),z))),a(a(x,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),a(a(a(y,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),z),f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))))),    a(a(x,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))))).
eq(a(f(a(a(N,a(a(B,B),x)),a(a(B,y),z))),a(a(x,f(a(a(N,a(a(B,B),x)),a(a(B,y),z)))),a(y,a(z,f(a(a(N,a(a(B,B),x)),a(a(B,y),z))))))),    a(a(x,f(a(a(N,a(a(B,B),x)),a(a(B,y),z)))),a(y,a(z,f(a(a(N,a(a(B,B),x)),a(a(B,y),z))))))).
eq(a(f(a(a(N,a(a(B,B),a(N,x))),y)),a(a(a(x,a(y,f(a(a(N,a(a(B,B),a(N,x))),y)))),f(a(a(N,a(a(B,B),a(N,x))),y))),a(y,f(a(a(N,a(a(B,B),a(N,x))),y))))),    a(a(a(N,x),f(a(a(N,a(a(B,B),a(N,x))),y))),a(y,f(a(a(N,a(a(B,B),a(N,x))),y))))).
eq(a(f(a(a(N,a(a(B,B),a(B,x))),y)),a(x,a(f(a(a(N,a(a(B,B),a(B,x))),y)),a(y,f(a(a(N,a(a(B,B),a(B,x))),y)))))),    a(x,a(f(a(a(N,a(a(B,B),a(B,x))),y)),a(y,f(a(a(N,a(a(B,B),a(B,x))),y)))))).
eq(a(f(a(a(N,a(a(B,B),a(a(N,x),y))),z)),a(a(a(a(N,x),y),f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),a(z,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))))),    a(a(a(a(x,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,B),a(a(N,x),y))),z))),a(z,f(a(a(N,a(a(B,B),a(a(N,x),y))),z))))).
eq(a(f(a(a(N,a(a(B,B),x)),a(a(N,y),z))),a(a(x,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))))),    a(a(x,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),a(a(a(y,f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))),z),f(a(a(N,a(a(B,B),x)),a(a(N,y),z)))))).
eq(a(f(a(a(N,a(a(B,B),a(N,x))),y)),a(a(a(N,x),f(a(a(N,a(a(B,B),a(N,x))),y))),a(y,f(a(a(N,a(a(B,B),a(N,x))),y))))),    a(a(a(x,a(y,f(a(a(N,a(a(B,B),a(N,x))),y)))),f(a(a(N,a(a(B,B),a(N,x))),y))),a(y,f(a(a(N,a(a(B,B),a(N,x))),y))))).
eq(a(f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))),a(a(a(a(a(x,a(a(B,a(a(N,x),y)),f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))))),y),a(a(B,a(a(N,x),y)),f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))))),a(B,a(a(N,x),y))),f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))))),    a(a(a(N,a(N,N)),a(B,a(a(N,x),y))),f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,N)),a(B,a(a(B,x),y)))),a(a(a(x,a(y,a(a(B,a(a(B,x),y)),f(a(a(N,a(N,N)),a(B,a(a(B,x),y))))))),a(B,a(a(B,x),y))),f(a(a(N,a(N,N)),a(B,a(a(B,x),y)))))),    a(a(a(N,a(N,N)),a(B,a(a(B,x),y))),f(a(a(N,a(N,N)),a(B,a(a(B,x),y)))))).
eq(a(f(a(a(N,a(N,N)),a(B,a(N,x)))),a(a(a(a(x,a(B,a(N,x))),a(a(B,a(N,x)),f(a(a(N,a(N,N)),a(B,a(N,x)))))),a(B,a(N,x))),f(a(a(N,a(N,N)),a(B,a(N,x)))))),    a(a(a(N,a(N,N)),a(B,a(N,x))),f(a(a(N,a(N,N)),a(B,a(N,x)))))).
eq(a(f(a(a(N,a(N,N)),a(B,a(B,x)))),a(a(x,a(a(B,x),a(f(a(a(N,a(N,N)),a(B,a(B,x)))),a(B,a(B,x))))),f(a(a(N,a(N,N)),a(B,a(B,x)))))),    a(a(a(N,a(N,N)),a(B,a(B,x))),f(a(a(N,a(N,N)),a(B,a(B,x)))))).
eq(a(f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))),a(a(a(N,a(N,N)),a(B,a(a(N,x),y))),f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))))),    a(a(a(a(a(x,a(a(B,a(a(N,x),y)),f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))))),y),a(a(B,a(a(N,x),y)),f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))))),a(B,a(a(N,x),y))),f(a(a(N,a(N,N)),a(B,a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,N)),a(B,a(a(B,x),y)))),a(a(a(N,a(N,N)),a(B,a(a(B,x),y))),f(a(a(N,a(N,N)),a(B,a(a(B,x),y)))))),    a(a(a(x,a(y,a(a(B,a(a(B,x),y)),f(a(a(N,a(N,N)),a(B,a(a(B,x),y))))))),a(B,a(a(B,x),y))),f(a(a(N,a(N,N)),a(B,a(a(B,x),y)))))).
eq(a(f(a(a(N,a(N,N)),a(B,a(N,x)))),a(a(a(N,a(N,N)),a(B,a(N,x))),f(a(a(N,a(N,N)),a(B,a(N,x)))))),    a(a(a(a(x,a(B,a(N,x))),a(a(B,a(N,x)),f(a(a(N,a(N,N)),a(B,a(N,x)))))),a(B,a(N,x))),f(a(a(N,a(N,N)),a(B,a(N,x)))))).
eq(a(f(a(a(N,a(N,N)),a(B,a(B,x)))),a(a(a(N,a(N,N)),a(B,a(B,x))),f(a(a(N,a(N,N)),a(B,a(B,x)))))),    a(a(x,a(a(B,x),a(f(a(a(N,a(N,N)),a(B,a(B,x)))),a(B,a(B,x))))),f(a(a(N,a(N,N)),a(B,a(B,x)))))).
eq(a(f(a(a(N,a(a(B,x),a(a(N,y),z))),u)),a(a(a(x,a(a(a(y,f(a(a(N,a(a(B,x),a(a(N,y),z))),u))),z),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),u),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),    a(a(a(x,a(a(a(N,y),z),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),u),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,x),a(a(B,y),z))),u)),a(a(a(x,a(y,a(z,f(a(a(N,a(a(B,x),a(a(B,y),z))),u))))),u),f(a(a(N,a(a(B,x),a(a(B,y),z))),u)))),    a(a(a(x,a(y,a(z,f(a(a(N,a(a(B,x),a(a(B,y),z))),u))))),u),f(a(a(N,a(a(B,x),a(a(B,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)),a(a(a(a(a(x,a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),y),a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),u),f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),    a(a(a(a(a(N,x),y),a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),u),f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)),a(a(a(x,a(y,a(z,f(a(a(N,a(a(B,a(a(B,x),y)),z)),u))))),u),f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)))),    a(a(a(x,a(y,a(z,f(a(a(N,a(a(B,a(a(B,x),y)),z)),u))))),u),f(a(a(N,a(a(B,a(a(B,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(N,x)),y)),z)),a(a(a(a(x,z),a(y,f(a(a(N,a(a(B,a(N,x)),y)),z)))),z),f(a(a(N,a(a(B,a(N,x)),y)),z)))),    a(a(a(a(N,x),a(y,f(a(a(N,a(a(B,a(N,x)),y)),z)))),z),f(a(a(N,a(a(B,a(N,x)),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),y)),z)),a(a(x,a(a(y,f(a(a(N,a(a(B,a(B,x)),y)),z))),z)),f(a(a(N,a(a(B,a(B,x)),y)),z)))),    a(a(x,a(a(y,f(a(a(N,a(a(B,a(B,x)),y)),z))),z)),f(a(a(N,a(a(B,a(B,x)),y)),z)))).
eq(a(f(a(a(N,a(a(B,N),x)),y)),a(a(a(a(x,f(a(a(N,a(a(B,N),x)),y))),f(a(a(N,a(a(B,N),x)),y))),y),f(a(a(N,a(a(B,N),x)),y)))),    a(a(a(N,a(x,f(a(a(N,a(a(B,N),x)),y)))),y),f(a(a(N,a(a(B,N),x)),y)))).
eq(a(f(a(a(N,a(a(B,x),a(a(N,y),z))),u)),a(a(a(x,a(a(a(N,y),z),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),u),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),    a(a(a(x,a(a(a(y,f(a(a(N,a(a(B,x),a(a(N,y),z))),u))),z),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))),u),f(a(a(N,a(a(B,x),a(a(N,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)),a(a(a(a(a(N,x),y),a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),u),f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),    a(a(a(a(a(x,a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),y),a(z,f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))),u),f(a(a(N,a(a(B,a(a(N,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(N,x)),y)),z)),a(a(a(a(N,x),a(y,f(a(a(N,a(a(B,a(N,x)),y)),z)))),z),f(a(a(N,a(a(B,a(N,x)),y)),z)))),    a(a(a(a(x,z),a(y,f(a(a(N,a(a(B,a(N,x)),y)),z)))),z),f(a(a(N,a(a(B,a(N,x)),y)),z)))).
eq(a(f(a(a(N,a(a(B,N),x)),y)),a(a(a(N,a(x,f(a(a(N,a(a(B,N),x)),y)))),y),f(a(a(N,a(a(B,N),x)),y)))),    a(a(a(a(x,f(a(a(N,a(a(B,N),x)),y))),f(a(a(N,a(a(B,N),x)),y))),y),f(a(a(N,a(a(B,N),x)),y)))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(a(a(x,a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))),y),a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))))),    a(a(a(N,x),y),a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(x,a(y,a(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))))),    a(x,a(y,a(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(a(a(N,x),y),a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))))),    a(a(a(x,a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))),y),a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(N,y),z))),a(a(a(x,a(a(a(y,f(a(a(N,a(N,a(B,x))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),    a(a(a(x,a(a(a(N,y),z),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(B,y),z))),a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,x))),a(a(B,y),z)))))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))),    a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,x))),a(a(B,y),z)))))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)),a(a(a(a(a(x,a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),y),a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),    a(a(a(a(a(N,x),y),a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)),a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,a(a(B,x),y)))),z))))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))),    a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,a(a(B,x),y)))),z))))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),y)),a(a(a(a(x,y),a(y,f(a(a(N,a(N,a(B,a(N,x)))),y)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))),    a(a(a(a(N,x),a(y,f(a(a(N,a(N,a(B,a(N,x)))),y)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),y)),a(a(x,a(a(y,f(a(a(N,a(N,a(B,a(B,x)))),y))),y)),f(a(a(N,a(N,a(B,a(B,x)))),y)))),    a(a(x,a(a(y,f(a(a(N,a(N,a(B,a(B,x)))),y))),y)),f(a(a(N,a(N,a(B,a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,N))),x)),a(a(a(a(x,f(a(a(N,a(N,a(B,N))),x))),f(a(a(N,a(N,a(B,N))),x))),x),f(a(a(N,a(N,a(B,N))),x)))),    a(a(a(N,a(x,f(a(a(N,a(N,a(B,N))),x)))),x),f(a(a(N,a(N,a(B,N))),x)))).
eq(a(f(a(a(N,a(N,a(B,B))),x)),a(a(x,f(a(a(N,a(N,a(B,B))),x))),a(x,f(a(a(N,a(N,a(B,B))),x))))),    a(a(x,f(a(a(N,a(N,a(B,B))),x))),a(x,f(a(a(N,a(N,a(B,B))),x))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(N,y),z))),a(a(a(x,a(a(a(N,y),z),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),    a(a(a(x,a(a(a(y,f(a(a(N,a(N,a(B,x))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)),a(a(a(a(a(N,x),y),a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),    a(a(a(a(a(x,a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),y),a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),y)),a(a(a(a(N,x),a(y,f(a(a(N,a(N,a(B,a(N,x)))),y)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))),    a(a(a(a(x,y),a(y,f(a(a(N,a(N,a(B,a(N,x)))),y)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,N))),x)),a(a(a(N,a(x,f(a(a(N,a(N,a(B,N))),x)))),x),f(a(a(N,a(N,a(B,N))),x)))),    a(a(a(a(x,f(a(a(N,a(N,a(B,N))),x))),f(a(a(N,a(N,a(B,N))),x))),x),f(a(a(N,a(N,a(B,N))),x)))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))),    a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(B,x),y))),a(a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))),a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))))),    a(a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))),a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))),    a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(N,x))),a(a(a(x,a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x))))),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))))),    a(a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(x,a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(a(B,x),f(a(a(N,a(N,a(B,B))),a(B,x))))))),    a(x,a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(a(B,x),f(a(a(N,a(N,a(B,B))),a(B,x))))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))),    a(a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))),    a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(N,x))),a(a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))))),    a(a(a(x,a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x))))),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),a(a(a(x,a(a(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z))))),y),a(a(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))))),    a(a(a(N,x),y),a(a(a(N,N),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,N),z))),a(x,a(y,a(a(a(f(a(a(B,a(a(B,x),y)),a(a(N,N),z))),f(a(a(B,a(a(B,x),y)),a(a(N,N),z)))),z),f(a(a(B,a(a(B,x),y)),a(a(N,N),z))))))),    a(x,a(y,a(a(a(N,N),z),f(a(a(B,a(a(B,x),y)),a(a(N,N),z))))))).
eq(a(f(a(a(B,x),a(a(N,N),y))),a(x,a(a(a(f(a(a(B,x),a(a(N,N),y))),f(a(a(B,x),a(a(N,N),y)))),y),f(a(a(B,x),a(a(N,N),y)))))),    a(x,a(a(a(N,f(a(a(B,x),a(a(N,N),y)))),y),f(a(a(B,x),a(a(N,N),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),a(a(a(N,x),y),a(a(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))))),    a(a(a(x,a(a(a(N,N),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z))))),y),a(a(a(N,N),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(a(N,y),z)),u))),a(x,a(a(a(a(a(y,f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),z),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),u),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))))),    a(x,a(a(a(a(a(N,y),z),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),u),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(a(B,y),z)),u))),a(x,a(a(a(y,a(z,f(a(a(B,x),a(a(N,a(a(B,y),z)),u))))),u),f(a(a(B,x),a(a(N,a(a(B,y),z)),u)))))),    a(x,a(a(a(y,a(z,f(a(a(B,x),a(a(N,a(a(B,y),z)),u))))),u),f(a(a(B,x),a(a(N,a(a(B,y),z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,y)),z))),a(x,a(a(a(a(y,z),f(a(a(B,x),a(a(N,a(N,y)),z)))),z),f(a(a(B,x),a(a(N,a(N,y)),z)))))),    a(x,a(a(a(a(N,y),f(a(a(B,x),a(a(N,a(N,y)),z)))),z),f(a(a(B,x),a(a(N,a(N,y)),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,y)),z))),a(x,a(a(y,a(f(a(a(B,x),a(a(N,a(B,y)),z))),z)),f(a(a(B,x),a(a(N,a(B,y)),z)))))),    a(x,a(a(y,a(f(a(a(B,x),a(a(N,a(B,y)),z))),z)),f(a(a(B,x),a(a(N,a(B,y)),z)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(N,x),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,z),u))),a(x,a(y,a(a(a(z,f(a(a(B,a(a(B,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(B,x),y)),a(a(N,z),u))))))),    a(x,a(y,a(a(a(z,f(a(a(B,a(a(B,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(B,x),y)),a(a(N,z),u))))))).
eq(a(f(a(a(B,x),a(a(N,a(a(N,y),z)),u))),a(x,a(a(a(a(a(N,y),z),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),u),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))))),    a(x,a(a(a(a(a(y,f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),z),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))),u),f(a(a(B,x),a(a(N,a(a(N,y),z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,y)),z))),a(x,a(a(a(a(N,y),f(a(a(B,x),a(a(N,a(N,y)),z)))),z),f(a(a(B,x),a(a(N,a(N,y)),z)))))),    a(x,a(a(a(a(y,z),f(a(a(B,x),a(a(N,a(N,y)),z)))),z),f(a(a(B,x),a(a(N,a(N,y)),z)))))).
eq(a(f(a(a(B,x),a(a(N,N),y))),a(x,a(a(a(N,f(a(a(B,x),a(a(N,N),y)))),y),f(a(a(B,x),a(a(N,N),y)))))),    a(x,a(a(a(f(a(a(B,x),a(a(N,N),y))),f(a(a(B,x),a(a(N,N),y)))),y),f(a(a(B,x),a(a(N,N),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(N,x),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),a(a(a(x,a(a(a(N,N),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z))))),y),a(a(a(N,N),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))))),    a(a(a(N,x),y),a(a(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,N),z))),a(x,a(y,a(a(a(N,N),z),f(a(a(B,a(a(B,x),y)),a(a(N,N),z))))))),    a(x,a(y,a(a(a(f(a(a(B,a(a(B,x),y)),a(a(N,N),z))),f(a(a(B,a(a(B,x),y)),a(a(N,N),z)))),z),f(a(a(B,a(a(B,x),y)),a(a(N,N),z))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),a(a(a(N,x),y),a(a(a(N,N),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))))),    a(a(a(x,a(a(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z))))),y),a(a(a(f(a(a(B,a(a(N,x),y)),a(a(N,N),z))),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,N),z)))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))),    a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(B,y),z))),a(a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z))))),a(x,a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z)))))))),    a(a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z))))),a(x,a(y,a(z,f(a(a(B,a(a(N,B),x)),a(a(B,y),z)))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))),    a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),a(a(N,x),y))),z)),a(a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z))),a(a(a(x,a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))),y),a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))))),    a(a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z))),a(a(a(N,x),y),a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))))).
eq(a(f(a(a(B,a(a(N,B),a(a(B,x),y))),z)),a(a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))),a(x,a(y,a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))))))),    a(a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))),a(x,a(y,a(z,f(a(a(B,a(a(N,B),a(a(B,x),y))),z))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(N,y))),a(a(a(y,a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y)))))),f(a(a(B,a(a(N,B),x)),a(N,y)))),a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y))))))),    a(a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y)))),a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(B,y))),a(y,a(f(a(a(B,a(a(N,B),x)),a(B,y))),a(x,a(a(B,y),f(a(a(B,a(a(N,B),x)),a(B,y)))))))),    a(y,a(f(a(a(B,a(a(N,B),x)),a(B,y))),a(x,a(a(B,y),f(a(a(B,a(a(N,B),x)),a(B,y)))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))),    a(a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(a(N,y),z))),a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))),    a(a(a(a(N,y),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),a(x,a(a(a(y,f(a(a(B,a(a(N,B),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,B),x)),a(a(N,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),a(a(N,x),y))),z)),a(a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z))),a(a(a(N,x),y),a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))))),    a(a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z))),a(a(a(x,a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))),y),a(z,f(a(a(B,a(a(N,B),a(a(N,x),y))),z)))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(N,y))),a(a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y)))),a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y))))))),    a(a(a(y,a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y)))))),f(a(a(B,a(a(N,B),x)),a(N,y)))),a(x,a(a(N,y),f(a(a(B,a(a(N,B),x)),a(N,y))))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))),    a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(B,x),y))),a(a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))),a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))))),    a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))),    a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(N,x))),a(a(a(x,a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x))))),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))))),    a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(N,x)),f(a(a(N,a(N,a(B,B))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(x,a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(a(B,x),f(a(a(N,a(N,a(B,B))),a(B,x))))))),    a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(B,x)))),a(B,x)),f(a(a(N,a(N,a(B,B))),a(B,x))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y))))),    a(a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(B,x),y))),a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))),    a(a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))),a(x,a(y,f(a(a(N,a(N,a(B,B))),a(a(B,x),y))))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(a(N,x),y))),a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(a(N,x),y))))),    a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),a(a(a(x,f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(N,x))),a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(N,x)),f(a(a(N,a(N,a(B,B))),a(N,x))))),    a(a(a(x,a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x))))),f(a(a(N,a(N,a(B,B))),a(N,x)))),a(a(N,x),f(a(a(N,a(N,a(B,B))),a(N,x)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(a(a(a(N,a(B,B)),f(a(a(N,a(N,a(B,B))),a(B,x)))),a(B,x)),f(a(a(N,a(N,a(B,B))),a(B,x))))),    a(x,a(f(a(a(N,a(N,a(B,B))),a(B,x))),a(a(B,x),f(a(a(N,a(N,a(B,B))),a(B,x))))))).
eq(a(f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u))),a(x,a(a(a(a(y,a(f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u))),u)),z),a(f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u))),u)),f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u)))))),    a(x,a(a(a(N,a(B,a(a(N,y),z))),u),f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,a(a(B,y),z))),u))),a(x,a(a(y,a(z,a(f(a(a(B,x),a(a(N,a(B,a(a(B,y),z))),u))),u))),f(a(a(B,x),a(a(N,a(B,a(a(B,y),z))),u)))))),    a(x,a(a(a(N,a(B,a(a(B,y),z))),u),f(a(a(B,x),a(a(N,a(B,a(a(B,y),z))),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,a(N,y))),z))),a(x,a(a(a(y,f(a(a(B,x),a(a(N,a(B,a(N,y))),z)))),a(f(a(a(B,x),a(a(N,a(B,a(N,y))),z))),z)),f(a(a(B,x),a(a(N,a(B,a(N,y))),z)))))),    a(x,a(a(a(N,a(B,a(N,y))),z),f(a(a(B,x),a(a(N,a(B,a(N,y))),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,a(B,y))),z))),a(x,a(y,a(a(f(a(a(B,x),a(a(N,a(B,a(B,y))),z))),z),f(a(a(B,x),a(a(N,a(B,a(B,y))),z))))))),    a(x,a(a(a(N,a(B,a(B,y))),z),f(a(a(B,x),a(a(N,a(B,a(B,y))),z)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),a(a(a(x,a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),u)),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))))),y),a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),u)),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u)))))),    a(a(a(N,x),y),a(a(a(N,a(B,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(B,z)),u))),a(x,a(y,a(a(z,a(f(a(a(B,a(a(B,x),y)),a(a(N,a(B,z)),u))),u)),f(a(a(B,a(a(B,x),y)),a(a(N,a(B,z)),u))))))),    a(x,a(y,a(a(a(N,a(B,z)),u),f(a(a(B,a(a(B,x),y)),a(a(N,a(B,z)),u))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),a(a(a(N,x),y),a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),u)),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u)))))),    a(a(a(x,a(a(a(N,a(B,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))))),y),a(a(a(N,a(B,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),a(a(a(x,a(a(a(N,a(B,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))))),y),a(a(a(N,a(B,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u)))))),    a(a(a(N,x),y),a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),u)),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(B,z)),u))),a(x,a(y,a(a(a(N,a(B,z)),u),f(a(a(B,a(a(B,x),y)),a(a(N,a(B,z)),u))))))),    a(x,a(y,a(a(z,a(f(a(a(B,a(a(B,x),y)),a(a(N,a(B,z)),u))),u)),f(a(a(B,a(a(B,x),y)),a(a(N,a(B,z)),u))))))).
eq(a(f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u))),a(x,a(a(a(N,a(B,a(a(N,y),z))),u),f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u)))))),    a(x,a(a(a(a(y,a(f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u))),u)),z),a(f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u))),u)),f(a(a(B,x),a(a(N,a(B,a(a(N,y),z))),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,a(a(B,y),z))),u))),a(x,a(a(a(N,a(B,a(a(B,y),z))),u),f(a(a(B,x),a(a(N,a(B,a(a(B,y),z))),u)))))),    a(x,a(a(y,a(z,a(f(a(a(B,x),a(a(N,a(B,a(a(B,y),z))),u))),u))),f(a(a(B,x),a(a(N,a(B,a(a(B,y),z))),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,a(N,y))),z))),a(x,a(a(a(N,a(B,a(N,y))),z),f(a(a(B,x),a(a(N,a(B,a(N,y))),z)))))),    a(x,a(a(a(y,f(a(a(B,x),a(a(N,a(B,a(N,y))),z)))),a(f(a(a(B,x),a(a(N,a(B,a(N,y))),z))),z)),f(a(a(B,x),a(a(N,a(B,a(N,y))),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(B,a(B,y))),z))),a(x,a(a(a(N,a(B,a(B,y))),z),f(a(a(B,x),a(a(N,a(B,a(B,y))),z)))))),    a(x,a(y,a(a(f(a(a(B,x),a(a(N,a(B,a(B,y))),z))),z),f(a(a(B,x),a(a(N,a(B,a(B,y))),z))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),a(a(a(N,x),y),a(a(a(N,a(B,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u)))))),    a(a(a(x,a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),u)),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))))),y),a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u))),u)),f(a(a(B,a(a(N,x),y)),a(a(N,a(B,z)),u)))))).
eq(a(f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z))),a(x,a(f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z))),a(a(a(y,f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z)))),z),f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z))))))),    a(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z)),f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z))),a(x,a(f(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z))),a(y,a(z,f(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z)))))))),    a(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z)),f(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)),a(a(a(x,a(f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)),a(z,f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z))))),y),a(f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)),a(z,f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)))))),    a(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z),f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z)),a(x,a(y,a(f(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z)),a(z,f(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z))))))),    a(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z),f(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z))),a(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z)),f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z))))),    a(x,a(f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z))),a(a(a(y,f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z)))),z),f(a(a(N,a(a(B,B),a(B,x))),a(a(N,y),z))))))).
eq(a(f(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z))),a(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z)),f(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z))))),    a(x,a(f(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z))),a(y,a(z,f(a(a(N,a(a(B,B),a(B,x))),a(a(B,y),z)))))))).
eq(a(f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)),a(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z),f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)))),    a(a(a(x,a(f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)),a(z,f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z))))),y),a(f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)),a(z,f(a(a(N,a(a(B,B),a(B,a(a(N,x),y)))),z)))))).
eq(a(f(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z)),a(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z),f(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z)))),    a(x,a(y,a(f(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z)),a(z,f(a(a(N,a(a(B,B),a(B,a(a(B,x),y)))),z))))))).
eq(a(f(a(a(N,B),a(a(N,a(a(N,x),y)),z))),a(f(a(a(N,B),a(a(N,a(a(N,x),y)),z))),a(a(a(a(a(x,f(a(a(N,B),a(a(N,a(a(N,x),y)),z)))),y),f(a(a(N,B),a(a(N,a(a(N,x),y)),z)))),z),f(a(a(N,B),a(a(N,a(a(N,x),y)),z)))))),    a(a(a(N,B),a(a(N,a(a(N,x),y)),z)),f(a(a(N,B),a(a(N,a(a(N,x),y)),z))))).
eq(a(f(a(a(N,B),a(a(N,a(a(B,x),y)),z))),a(f(a(a(N,B),a(a(N,a(a(B,x),y)),z))),a(a(a(x,a(y,f(a(a(N,B),a(a(N,a(a(B,x),y)),z))))),z),f(a(a(N,B),a(a(N,a(a(B,x),y)),z)))))),    a(a(a(N,B),a(a(N,a(a(B,x),y)),z)),f(a(a(N,B),a(a(N,a(a(B,x),y)),z))))).
eq(a(f(a(a(N,B),a(a(N,a(N,x)),y))),a(f(a(a(N,B),a(a(N,a(N,x)),y))),a(a(a(a(x,y),f(a(a(N,B),a(a(N,a(N,x)),y)))),y),f(a(a(N,B),a(a(N,a(N,x)),y)))))),    a(a(a(N,B),a(a(N,a(N,x)),y)),f(a(a(N,B),a(a(N,a(N,x)),y))))).
eq(a(f(a(a(N,B),a(a(N,a(B,x)),y))),a(f(a(a(N,B),a(a(N,a(B,x)),y))),a(a(x,a(f(a(a(N,B),a(a(N,a(B,x)),y))),y)),f(a(a(N,B),a(a(N,a(B,x)),y)))))),    a(a(a(N,B),a(a(N,a(B,x)),y)),f(a(a(N,B),a(a(N,a(B,x)),y))))).
eq(a(f(a(a(N,B),a(a(N,N),x))),a(f(a(a(N,B),a(a(N,N),x))),a(a(a(f(a(a(N,B),a(a(N,N),x))),f(a(a(N,B),a(a(N,N),x)))),x),f(a(a(N,B),a(a(N,N),x)))))),    a(a(a(N,B),a(a(N,N),x)),f(a(a(N,B),a(a(N,N),x))))).
eq(a(f(a(a(N,B),a(a(N,B),x))),a(f(a(a(N,B),a(a(N,B),x))),a(f(a(a(N,B),a(a(N,B),x))),a(x,f(a(a(N,B),a(a(N,B),x))))))),    a(a(a(N,B),a(a(N,B),x)),f(a(a(N,B),a(a(N,B),x))))).
eq(a(f(a(a(N,B),a(a(N,B),a(a(N,x),y)))),a(f(a(a(N,B),a(a(N,B),a(a(N,x),y)))),a(f(a(a(N,B),a(a(N,B),a(a(N,x),y)))),a(a(a(x,f(a(a(N,B),a(a(N,B),a(a(N,x),y))))),y),f(a(a(N,B),a(a(N,B),a(a(N,x),y)))))))),    a(a(a(N,B),a(a(N,B),a(a(N,x),y))),f(a(a(N,B),a(a(N,B),a(a(N,x),y)))))).
eq(a(f(a(a(N,B),a(a(N,B),a(a(B,x),y)))),a(f(a(a(N,B),a(a(N,B),a(a(B,x),y)))),a(f(a(a(N,B),a(a(N,B),a(a(B,x),y)))),a(x,a(y,f(a(a(N,B),a(a(N,B),a(a(B,x),y))))))))),    a(a(a(N,B),a(a(N,B),a(a(B,x),y))),f(a(a(N,B),a(a(N,B),a(a(B,x),y)))))).
eq(a(f(a(a(N,B),a(a(N,B),x))),a(f(a(a(N,B),a(a(N,B),x))),a(f(a(a(N,B),a(a(N,B),x))),a(x,f(a(a(N,B),a(a(N,B),x))))))),    a(f(a(a(N,B),a(a(N,B),x))),a(a(a(N,B),x),f(a(a(N,B),a(a(N,B),x)))))).
eq(a(f(a(a(N,B),a(a(N,a(a(N,x),y)),z))),a(a(a(N,B),a(a(N,a(a(N,x),y)),z)),f(a(a(N,B),a(a(N,a(a(N,x),y)),z))))),    a(f(a(a(N,B),a(a(N,a(a(N,x),y)),z))),a(a(a(a(a(x,f(a(a(N,B),a(a(N,a(a(N,x),y)),z)))),y),f(a(a(N,B),a(a(N,a(a(N,x),y)),z)))),z),f(a(a(N,B),a(a(N,a(a(N,x),y)),z)))))).
eq(a(f(a(a(N,B),a(a(N,a(a(B,x),y)),z))),a(a(a(N,B),a(a(N,a(a(B,x),y)),z)),f(a(a(N,B),a(a(N,a(a(B,x),y)),z))))),    a(f(a(a(N,B),a(a(N,a(a(B,x),y)),z))),a(a(a(x,a(y,f(a(a(N,B),a(a(N,a(a(B,x),y)),z))))),z),f(a(a(N,B),a(a(N,a(a(B,x),y)),z)))))).
eq(a(f(a(a(N,B),a(a(N,a(N,x)),y))),a(a(a(N,B),a(a(N,a(N,x)),y)),f(a(a(N,B),a(a(N,a(N,x)),y))))),    a(f(a(a(N,B),a(a(N,a(N,x)),y))),a(a(a(a(x,y),f(a(a(N,B),a(a(N,a(N,x)),y)))),y),f(a(a(N,B),a(a(N,a(N,x)),y)))))).
eq(a(f(a(a(N,B),a(a(N,a(B,x)),y))),a(a(a(N,B),a(a(N,a(B,x)),y)),f(a(a(N,B),a(a(N,a(B,x)),y))))),    a(f(a(a(N,B),a(a(N,a(B,x)),y))),a(a(x,a(f(a(a(N,B),a(a(N,a(B,x)),y))),y)),f(a(a(N,B),a(a(N,a(B,x)),y)))))).
eq(a(f(a(a(N,B),a(a(N,N),x))),a(a(a(N,B),a(a(N,N),x)),f(a(a(N,B),a(a(N,N),x))))),    a(f(a(a(N,B),a(a(N,N),x))),a(a(a(f(a(a(N,B),a(a(N,N),x))),f(a(a(N,B),a(a(N,N),x)))),x),f(a(a(N,B),a(a(N,N),x)))))).
eq(a(f(a(a(N,B),a(a(N,B),x))),a(a(a(N,B),a(a(N,B),x)),f(a(a(N,B),a(a(N,B),x))))),    a(f(a(a(N,B),a(a(N,B),x))),a(f(a(a(N,B),a(a(N,B),x))),a(x,f(a(a(N,B),a(a(N,B),x))))))).
eq(a(f(a(a(N,B),a(a(N,B),x))),a(f(a(a(N,B),a(a(N,B),x))),a(a(a(N,B),x),f(a(a(N,B),a(a(N,B),x)))))),    a(f(a(a(N,B),a(a(N,B),x))),a(f(a(a(N,B),a(a(N,B),x))),a(x,f(a(a(N,B),a(a(N,B),x))))))).
eq(a(f(a(a(N,B),a(a(N,B),a(a(N,x),y)))),a(a(a(N,B),a(a(N,B),a(a(N,x),y))),f(a(a(N,B),a(a(N,B),a(a(N,x),y)))))),    a(f(a(a(N,B),a(a(N,B),a(a(N,x),y)))),a(f(a(a(N,B),a(a(N,B),a(a(N,x),y)))),a(a(a(x,f(a(a(N,B),a(a(N,B),a(a(N,x),y))))),y),f(a(a(N,B),a(a(N,B),a(a(N,x),y)))))))).
eq(a(f(a(a(N,B),a(a(N,B),a(a(B,x),y)))),a(a(a(N,B),a(a(N,B),a(a(B,x),y))),f(a(a(N,B),a(a(N,B),a(a(B,x),y)))))),    a(f(a(a(N,B),a(a(N,B),a(a(B,x),y)))),a(f(a(a(N,B),a(a(N,B),a(a(B,x),y)))),a(x,a(y,f(a(a(N,B),a(a(N,B),a(a(B,x),y))))))))).
eq(a(f(a(a(N,a(B,a(N,a(a(N,x),y)))),z)),a(a(a(a(a(x,f(a(a(N,a(B,a(N,a(a(N,x),y)))),z))),y),f(a(a(N,a(B,a(N,a(a(N,x),y)))),z))),a(f(a(a(N,a(B,a(N,a(a(N,x),y)))),z)),z)),f(a(a(N,a(B,a(N,a(a(N,x),y)))),z)))),    a(a(a(N,a(B,a(N,a(a(N,x),y)))),z),f(a(a(N,a(B,a(N,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)),a(a(a(x,a(y,f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)))),a(f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)),z)),f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)))),    a(a(a(N,a(B,a(N,a(a(B,x),y)))),z),f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(B,a(N,a(N,x)))),y)),a(a(a(a(x,a(f(a(a(N,a(B,a(N,a(N,x)))),y)),y)),f(a(a(N,a(B,a(N,a(N,x)))),y))),a(f(a(a(N,a(B,a(N,a(N,x)))),y)),y)),f(a(a(N,a(B,a(N,a(N,x)))),y)))),    a(a(a(N,a(B,a(N,a(N,x)))),y),f(a(a(N,a(B,a(N,a(N,x)))),y)))).
eq(a(f(a(a(N,a(B,a(N,a(B,x)))),y)),a(a(x,a(f(a(a(N,a(B,a(N,a(B,x)))),y)),a(f(a(a(N,a(B,a(N,a(B,x)))),y)),y))),f(a(a(N,a(B,a(N,a(B,x)))),y)))),    a(a(a(N,a(B,a(N,a(B,x)))),y),f(a(a(N,a(B,a(N,a(B,x)))),y)))).
eq(a(f(a(a(N,a(B,a(N,N))),x)),a(a(a(f(a(a(N,a(B,a(N,N))),x)),f(a(a(N,a(B,a(N,N))),x))),a(f(a(a(N,a(B,a(N,N))),x)),x)),f(a(a(N,a(B,a(N,N))),x)))),    a(a(a(N,a(B,a(N,N))),x),f(a(a(N,a(B,a(N,N))),x)))).
eq(a(f(a(a(N,a(B,a(N,B))),x)),a(f(a(a(N,a(B,a(N,B))),x)),a(a(f(a(a(N,a(B,a(N,B))),x)),x),f(a(a(N,a(B,a(N,B))),x))))),    a(a(a(N,a(B,a(N,B))),x),f(a(a(N,a(B,a(N,B))),x)))).
eq(a(f(a(a(N,a(B,a(N,B))),x)),a(f(a(a(N,a(B,a(N,B))),x)),a(a(f(a(a(N,a(B,a(N,B))),x)),x),f(a(a(N,a(B,a(N,B))),x))))),    a(a(a(N,B),a(f(a(a(N,a(B,a(N,B))),x)),x)),f(a(a(N,a(B,a(N,B))),x)))).
eq(a(f(a(a(N,a(B,a(N,a(a(N,x),y)))),z)),a(a(a(N,a(B,a(N,a(a(N,x),y)))),z),f(a(a(N,a(B,a(N,a(a(N,x),y)))),z)))),    a(a(a(a(a(x,f(a(a(N,a(B,a(N,a(a(N,x),y)))),z))),y),f(a(a(N,a(B,a(N,a(a(N,x),y)))),z))),a(f(a(a(N,a(B,a(N,a(a(N,x),y)))),z)),z)),f(a(a(N,a(B,a(N,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)),a(a(a(N,a(B,a(N,a(a(B,x),y)))),z),f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)))),    a(a(a(x,a(y,f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)))),a(f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)),z)),f(a(a(N,a(B,a(N,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(B,a(N,a(N,x)))),y)),a(a(a(N,a(B,a(N,a(N,x)))),y),f(a(a(N,a(B,a(N,a(N,x)))),y)))),    a(a(a(a(x,a(f(a(a(N,a(B,a(N,a(N,x)))),y)),y)),f(a(a(N,a(B,a(N,a(N,x)))),y))),a(f(a(a(N,a(B,a(N,a(N,x)))),y)),y)),f(a(a(N,a(B,a(N,a(N,x)))),y)))).
eq(a(f(a(a(N,a(B,a(N,a(B,x)))),y)),a(a(a(N,a(B,a(N,a(B,x)))),y),f(a(a(N,a(B,a(N,a(B,x)))),y)))),    a(a(x,a(f(a(a(N,a(B,a(N,a(B,x)))),y)),a(f(a(a(N,a(B,a(N,a(B,x)))),y)),y))),f(a(a(N,a(B,a(N,a(B,x)))),y)))).
eq(a(f(a(a(N,a(B,a(N,N))),x)),a(a(a(N,a(B,a(N,N))),x),f(a(a(N,a(B,a(N,N))),x)))),    a(a(a(f(a(a(N,a(B,a(N,N))),x)),f(a(a(N,a(B,a(N,N))),x))),a(f(a(a(N,a(B,a(N,N))),x)),x)),f(a(a(N,a(B,a(N,N))),x)))).
eq(a(f(a(a(N,a(B,a(N,B))),x)),a(a(a(N,a(B,a(N,B))),x),f(a(a(N,a(B,a(N,B))),x)))),    a(f(a(a(N,a(B,a(N,B))),x)),a(a(f(a(a(N,a(B,a(N,B))),x)),x),f(a(a(N,a(B,a(N,B))),x))))).
eq(a(f(a(a(N,a(B,a(N,B))),x)),a(a(a(N,B),a(f(a(a(N,a(B,a(N,B))),x)),x)),f(a(a(N,a(B,a(N,B))),x)))),    a(f(a(a(N,a(B,a(N,B))),x)),a(a(f(a(a(N,a(B,a(N,B))),x)),x),f(a(a(N,a(B,a(N,B))),x))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(a(a(x,a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))),y),a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))))),    a(a(a(a(N,B),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(x,a(y,a(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))))),    a(a(a(a(N,B),f(a(a(N,a(N,B)),a(B,a(a(B,x),y))))),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(a(a(a(N,B),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))),    a(a(a(x,a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))))),y),a(a(f(a(a(N,a(N,B)),a(B,a(a(N,x),y)))),a(B,a(a(N,x),y))),f(a(a(N,a(N,B)),a(B,a(a(N,x),y))))))).
eq(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(a(a(a(N,B),f(a(a(N,a(N,B)),a(B,a(a(B,x),y))))),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))),    a(x,a(y,a(a(f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))),a(B,a(a(B,x),y))),f(a(a(N,a(N,B)),a(B,a(a(B,x),y)))))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(N,y),z))),a(a(a(x,a(a(a(y,f(a(a(N,a(N,a(B,x))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),    a(a(a(a(N,a(B,x)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z)))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(B,y),z))),a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,x))),a(a(B,y),z)))))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))),    a(a(a(a(N,a(B,x)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z)))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)),a(a(a(a(a(x,a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),y),a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),    a(a(a(a(N,a(B,a(a(N,x),y))),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)),a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,a(a(B,x),y)))),z))))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))),    a(a(a(a(N,a(B,a(a(B,x),y))),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),y)),a(a(a(a(x,y),a(y,f(a(a(N,a(N,a(B,a(N,x)))),y)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))),    a(a(a(a(N,a(B,a(N,x))),f(a(a(N,a(N,a(B,a(N,x)))),y))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),y)),a(a(x,a(a(y,f(a(a(N,a(N,a(B,a(B,x)))),y))),y)),f(a(a(N,a(N,a(B,a(B,x)))),y)))),    a(a(a(a(N,a(B,a(B,x))),f(a(a(N,a(N,a(B,a(B,x)))),y))),y),f(a(a(N,a(N,a(B,a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,N))),x)),a(a(a(a(x,f(a(a(N,a(N,a(B,N))),x))),f(a(a(N,a(N,a(B,N))),x))),x),f(a(a(N,a(N,a(B,N))),x)))),    a(a(a(a(N,a(B,N)),f(a(a(N,a(N,a(B,N))),x))),x),f(a(a(N,a(N,a(B,N))),x)))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(N,y),z))),a(a(a(a(N,a(B,x)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z)))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),    a(a(a(x,a(a(a(y,f(a(a(N,a(N,a(B,x))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,x))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,x))),a(a(B,y),z))),a(a(a(a(N,a(B,x)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z)))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))),    a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,x))),a(a(B,y),z)))))),a(a(B,y),z)),f(a(a(N,a(N,a(B,x))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)),a(a(a(a(N,a(B,a(a(N,x),y))),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),    a(a(a(a(a(x,a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),y),a(z,f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))),z),f(a(a(N,a(N,a(B,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)),a(a(a(a(N,a(B,a(a(B,x),y))),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))),    a(a(a(x,a(y,a(z,f(a(a(N,a(N,a(B,a(a(B,x),y)))),z))))),z),f(a(a(N,a(N,a(B,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),y)),a(a(a(a(N,a(B,a(N,x))),f(a(a(N,a(N,a(B,a(N,x)))),y))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))),    a(a(a(a(x,y),a(y,f(a(a(N,a(N,a(B,a(N,x)))),y)))),y),f(a(a(N,a(N,a(B,a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),y)),a(a(a(a(N,a(B,a(B,x))),f(a(a(N,a(N,a(B,a(B,x)))),y))),y),f(a(a(N,a(N,a(B,a(B,x)))),y)))),    a(a(x,a(a(y,f(a(a(N,a(N,a(B,a(B,x)))),y))),y)),f(a(a(N,a(N,a(B,a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(B,N))),x)),a(a(a(a(N,a(B,N)),f(a(a(N,a(N,a(B,N))),x))),x),f(a(a(N,a(N,a(B,N))),x)))),    a(a(a(a(x,f(a(a(N,a(N,a(B,N))),x))),f(a(a(N,a(N,a(B,N))),x))),x),f(a(a(N,a(N,a(B,N))),x)))).
eq(a(f(a(a(N,a(a(B,N),a(a(N,x),y))),z)),a(a(a(a(a(a(x,f(a(a(N,a(a(B,N),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,N),a(a(N,x),y))),z))),f(a(a(N,a(a(B,N),a(a(N,x),y))),z))),z),f(a(a(N,a(a(B,N),a(a(N,x),y))),z)))),    a(a(a(N,a(a(B,N),a(a(N,x),y))),z),f(a(a(N,a(a(B,N),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,N),a(a(B,x),y))),z)),a(a(a(a(x,a(y,f(a(a(N,a(a(B,N),a(a(B,x),y))),z)))),f(a(a(N,a(a(B,N),a(a(B,x),y))),z))),z),f(a(a(N,a(a(B,N),a(a(B,x),y))),z)))),    a(a(a(N,a(a(B,N),a(a(B,x),y))),z),f(a(a(N,a(a(B,N),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,N),a(N,x))),y)),a(a(a(a(a(x,f(a(a(N,a(a(B,N),a(N,x))),y))),f(a(a(N,a(a(B,N),a(N,x))),y))),f(a(a(N,a(a(B,N),a(N,x))),y))),y),f(a(a(N,a(a(B,N),a(N,x))),y)))),    a(a(a(N,a(a(B,N),a(N,x))),y),f(a(a(N,a(a(B,N),a(N,x))),y)))).
eq(a(f(a(a(N,a(a(B,N),a(B,x))),y)),a(a(a(x,a(f(a(a(N,a(a(B,N),a(B,x))),y)),f(a(a(N,a(a(B,N),a(B,x))),y)))),y),f(a(a(N,a(a(B,N),a(B,x))),y)))),    a(a(a(N,a(a(B,N),a(B,x))),y),f(a(a(N,a(a(B,N),a(B,x))),y)))).
eq(a(f(a(a(N,a(a(B,N),N)),x)),a(a(a(a(f(a(a(N,a(a(B,N),N)),x)),x),f(a(a(N,a(a(B,N),N)),x))),x),f(a(a(N,a(a(B,N),N)),x)))),    a(a(a(N,a(a(B,N),N)),x),f(a(a(N,a(a(B,N),N)),x)))).
eq(a(f(a(a(N,a(a(B,N),B)),x)),a(a(f(a(a(N,a(a(B,N),B)),x)),a(f(a(a(N,a(a(B,N),B)),x)),x)),f(a(a(N,a(a(B,N),B)),x)))),    a(a(a(N,a(a(B,N),B)),x),f(a(a(N,a(a(B,N),B)),x)))).
eq(a(f(a(a(N,a(a(B,N),B)),x)),a(a(f(a(a(N,a(a(B,N),B)),x)),a(f(a(a(N,a(a(B,N),B)),x)),x)),f(a(a(N,a(a(B,N),B)),x)))),    a(a(a(N,a(B,f(a(a(N,a(a(B,N),B)),x)))),x),f(a(a(N,a(a(B,N),B)),x)))).
eq(a(f(a(a(N,a(a(B,N),a(a(N,x),y))),z)),a(a(a(N,a(a(B,N),a(a(N,x),y))),z),f(a(a(N,a(a(B,N),a(a(N,x),y))),z)))),    a(a(a(a(a(a(x,f(a(a(N,a(a(B,N),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,N),a(a(N,x),y))),z))),f(a(a(N,a(a(B,N),a(a(N,x),y))),z))),z),f(a(a(N,a(a(B,N),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,N),a(a(B,x),y))),z)),a(a(a(N,a(a(B,N),a(a(B,x),y))),z),f(a(a(N,a(a(B,N),a(a(B,x),y))),z)))),    a(a(a(a(x,a(y,f(a(a(N,a(a(B,N),a(a(B,x),y))),z)))),f(a(a(N,a(a(B,N),a(a(B,x),y))),z))),z),f(a(a(N,a(a(B,N),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,N),a(N,x))),y)),a(a(a(N,a(a(B,N),a(N,x))),y),f(a(a(N,a(a(B,N),a(N,x))),y)))),    a(a(a(a(a(x,f(a(a(N,a(a(B,N),a(N,x))),y))),f(a(a(N,a(a(B,N),a(N,x))),y))),f(a(a(N,a(a(B,N),a(N,x))),y))),y),f(a(a(N,a(a(B,N),a(N,x))),y)))).
eq(a(f(a(a(N,a(a(B,N),a(B,x))),y)),a(a(a(N,a(a(B,N),a(B,x))),y),f(a(a(N,a(a(B,N),a(B,x))),y)))),    a(a(a(x,a(f(a(a(N,a(a(B,N),a(B,x))),y)),f(a(a(N,a(a(B,N),a(B,x))),y)))),y),f(a(a(N,a(a(B,N),a(B,x))),y)))).
eq(a(f(a(a(N,a(a(B,N),N)),x)),a(a(a(N,a(a(B,N),N)),x),f(a(a(N,a(a(B,N),N)),x)))),    a(a(a(a(f(a(a(N,a(a(B,N),N)),x)),x),f(a(a(N,a(a(B,N),N)),x))),x),f(a(a(N,a(a(B,N),N)),x)))).
eq(a(f(a(a(N,a(a(B,N),B)),x)),a(a(a(N,a(a(B,N),B)),x),f(a(a(N,a(a(B,N),B)),x)))),    a(a(f(a(a(N,a(a(B,N),B)),x)),a(f(a(a(N,a(a(B,N),B)),x)),x)),f(a(a(N,a(a(B,N),B)),x)))).
eq(a(f(a(a(N,a(a(B,N),B)),x)),a(a(a(N,a(B,f(a(a(N,a(a(B,N),B)),x)))),x),f(a(a(N,a(a(B,N),B)),x)))),    a(a(f(a(a(N,a(a(B,N),B)),x)),a(f(a(a(N,a(a(B,N),B)),x)),x)),f(a(a(N,a(a(B,N),B)),x)))).
eq(a(f(a(a(N,a(N,a(B,N))),a(a(N,x),y))),a(a(a(a(a(a(x,f(a(a(N,a(N,a(B,N))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,N))),a(a(N,x),y)))),f(a(a(N,a(N,a(B,N))),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,N))),a(a(N,x),y))))),    a(a(a(N,a(N,a(B,N))),a(a(N,x),y)),f(a(a(N,a(N,a(B,N))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,N))),a(a(B,x),y))),a(a(a(a(x,a(y,f(a(a(N,a(N,a(B,N))),a(a(B,x),y))))),f(a(a(N,a(N,a(B,N))),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,a(B,N))),a(a(B,x),y))))),    a(a(a(N,a(N,a(B,N))),a(a(B,x),y)),f(a(a(N,a(N,a(B,N))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(B,N))),a(N,x))),a(a(a(a(a(x,f(a(a(N,a(N,a(B,N))),a(N,x)))),f(a(a(N,a(N,a(B,N))),a(N,x)))),f(a(a(N,a(N,a(B,N))),a(N,x)))),a(N,x)),f(a(a(N,a(N,a(B,N))),a(N,x))))),    a(a(a(N,a(N,a(B,N))),a(N,x)),f(a(a(N,a(N,a(B,N))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(B,N))),a(B,x))),a(a(a(x,a(f(a(a(N,a(N,a(B,N))),a(B,x))),f(a(a(N,a(N,a(B,N))),a(B,x))))),a(B,x)),f(a(a(N,a(N,a(B,N))),a(B,x))))),    a(a(a(N,a(N,a(B,N))),a(B,x)),f(a(a(N,a(N,a(B,N))),a(B,x))))).
eq(a(f(a(a(N,a(N,a(B,N))),a(a(N,x),y))),a(a(a(N,a(N,a(B,N))),a(a(N,x),y)),f(a(a(N,a(N,a(B,N))),a(a(N,x),y))))),    a(a(a(a(a(a(x,f(a(a(N,a(N,a(B,N))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,N))),a(a(N,x),y)))),f(a(a(N,a(N,a(B,N))),a(a(N,x),y)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,N))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,N))),a(a(B,x),y))),a(a(a(N,a(N,a(B,N))),a(a(B,x),y)),f(a(a(N,a(N,a(B,N))),a(a(B,x),y))))),    a(a(a(a(x,a(y,f(a(a(N,a(N,a(B,N))),a(a(B,x),y))))),f(a(a(N,a(N,a(B,N))),a(a(B,x),y)))),a(a(B,x),y)),f(a(a(N,a(N,a(B,N))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(B,N))),a(N,x))),a(a(a(N,a(N,a(B,N))),a(N,x)),f(a(a(N,a(N,a(B,N))),a(N,x))))),    a(a(a(a(a(x,f(a(a(N,a(N,a(B,N))),a(N,x)))),f(a(a(N,a(N,a(B,N))),a(N,x)))),f(a(a(N,a(N,a(B,N))),a(N,x)))),a(N,x)),f(a(a(N,a(N,a(B,N))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(B,N))),a(B,x))),a(a(a(N,a(N,a(B,N))),a(B,x)),f(a(a(N,a(N,a(B,N))),a(B,x))))),    a(a(a(x,a(f(a(a(N,a(N,a(B,N))),a(B,x))),f(a(a(N,a(N,a(B,N))),a(B,x))))),a(B,x)),f(a(a(N,a(N,a(B,N))),a(B,x))))).
eq(a(f(a(a(N,a(a(B,N),N)),x)),a(a(a(a(f(a(a(N,a(a(B,N),N)),x)),x),f(a(a(N,a(a(B,N),N)),x))),x),f(a(a(N,a(a(B,N),N)),x)))),    a(a(a(N,a(N,f(a(a(N,a(a(B,N),N)),x)))),x),f(a(a(N,a(a(B,N),N)),x)))).
eq(a(f(a(a(N,a(a(B,N),N)),x)),a(a(a(N,a(N,f(a(a(N,a(a(B,N),N)),x)))),x),f(a(a(N,a(a(B,N),N)),x)))),    a(a(a(a(f(a(a(N,a(a(B,N),N)),x)),x),f(a(a(N,a(a(B,N),N)),x))),x),f(a(a(N,a(a(B,N),N)),x)))).
eq(a(f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)),a(a(x,a(a(a(y,a(f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)),u)),z),a(f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)),u))),f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)))),    a(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u),f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)))).
eq(a(f(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u)),a(a(x,a(y,a(z,a(f(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u)),u)))),f(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u)))),    a(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u),f(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u)))).
eq(a(f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)),a(a(a(a(x,a(z,a(f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)),u))),y),a(z,a(f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)),u))),f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)))),    a(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u),f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)))).
eq(a(f(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u)),a(a(x,a(y,a(z,a(f(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u)),u)))),f(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u)))),    a(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u),f(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u)))).
eq(a(f(a(a(N,a(B,a(a(B,a(N,x)),y))),z)),a(a(a(x,f(a(a(N,a(B,a(a(B,a(N,x)),y))),z))),a(y,a(f(a(a(N,a(B,a(a(B,a(N,x)),y))),z)),z))),f(a(a(N,a(B,a(a(B,a(N,x)),y))),z)))),    a(a(a(N,a(B,a(a(B,a(N,x)),y))),z),f(a(a(N,a(B,a(a(B,a(N,x)),y))),z)))).
eq(a(f(a(a(N,a(B,a(a(B,a(B,x)),y))),z)),a(x,a(a(y,a(f(a(a(N,a(B,a(a(B,a(B,x)),y))),z)),z)),f(a(a(N,a(B,a(a(B,a(B,x)),y))),z))))),    a(a(a(N,a(B,a(a(B,a(B,x)),y))),z),f(a(a(N,a(B,a(a(B,a(B,x)),y))),z)))).
eq(a(f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)),a(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u),f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)))),    a(a(x,a(a(a(y,a(f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)),u)),z),a(f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)),u))),f(a(a(N,a(B,a(a(B,x),a(a(N,y),z)))),u)))).
eq(a(f(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u)),a(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u),f(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u)))),    a(a(x,a(y,a(z,a(f(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u)),u)))),f(a(a(N,a(B,a(a(B,x),a(a(B,y),z)))),u)))).
eq(a(f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)),a(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u),f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)))),    a(a(a(a(x,a(z,a(f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)),u))),y),a(z,a(f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)),u))),f(a(a(N,a(B,a(a(B,a(a(N,x),y)),z))),u)))).
eq(a(f(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u)),a(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u),f(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u)))),    a(a(x,a(y,a(z,a(f(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u)),u)))),f(a(a(N,a(B,a(a(B,a(a(B,x),y)),z))),u)))).
eq(a(f(a(a(N,a(B,a(a(B,a(N,x)),y))),z)),a(a(a(N,a(B,a(a(B,a(N,x)),y))),z),f(a(a(N,a(B,a(a(B,a(N,x)),y))),z)))),    a(a(a(x,f(a(a(N,a(B,a(a(B,a(N,x)),y))),z))),a(y,a(f(a(a(N,a(B,a(a(B,a(N,x)),y))),z)),z))),f(a(a(N,a(B,a(a(B,a(N,x)),y))),z)))).
eq(a(f(a(a(N,a(B,a(a(B,a(B,x)),y))),z)),a(a(a(N,a(B,a(a(B,a(B,x)),y))),z),f(a(a(N,a(B,a(a(B,a(B,x)),y))),z)))),    a(x,a(a(y,a(f(a(a(N,a(B,a(a(B,a(B,x)),y))),z)),z)),f(a(a(N,a(B,a(a(B,a(B,x)),y))),z))))).
eq(a(f(a(a(B,x),a(a(N,a(N,a(a(N,y),z))),u))),a(x,a(a(a(a(a(a(y,u),z),u),f(a(a(B,x),a(a(N,a(N,a(a(N,y),z))),u)))),u),f(a(a(B,x),a(a(N,a(N,a(a(N,y),z))),u)))))),    a(x,a(a(a(N,a(N,a(a(N,y),z))),u),f(a(a(B,x),a(a(N,a(N,a(a(N,y),z))),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,a(a(B,y),z))),u))),a(x,a(a(a(a(y,a(z,u)),f(a(a(B,x),a(a(N,a(N,a(a(B,y),z))),u)))),u),f(a(a(B,x),a(a(N,a(N,a(a(B,y),z))),u)))))),    a(x,a(a(a(N,a(N,a(a(B,y),z))),u),f(a(a(B,x),a(a(N,a(N,a(a(B,y),z))),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,a(N,y))),z))),a(x,a(a(a(a(a(y,f(a(a(B,x),a(a(N,a(N,a(N,y))),z)))),z),f(a(a(B,x),a(a(N,a(N,a(N,y))),z)))),z),f(a(a(B,x),a(a(N,a(N,a(N,y))),z)))))),    a(x,a(a(a(N,a(N,a(N,y))),z),f(a(a(B,x),a(a(N,a(N,a(N,y))),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,a(B,y))),z))),a(x,a(a(a(y,a(z,f(a(a(B,x),a(a(N,a(N,a(B,y))),z))))),z),f(a(a(B,x),a(a(N,a(N,a(B,y))),z)))))),    a(x,a(a(a(N,a(N,a(B,y))),z),f(a(a(B,x),a(a(N,a(N,a(B,y))),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),y))),a(x,a(a(a(a(y,y),f(a(a(B,x),a(a(N,a(N,N)),y)))),y),f(a(a(B,x),a(a(N,a(N,N)),y)))))),    a(x,a(a(a(N,a(N,N)),y),f(a(a(B,x),a(a(N,a(N,N)),y)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),y))),a(x,a(a(y,a(f(a(a(B,x),a(a(N,a(N,B)),y))),y)),f(a(a(B,x),a(a(N,a(N,B)),y)))))),    a(x,a(a(a(N,a(N,B)),y),f(a(a(B,x),a(a(N,a(N,B)),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u))),a(a(a(x,a(a(a(a(z,u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u))))),y),a(a(a(a(z,u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))))),    a(a(a(N,x),y),a(a(a(N,a(N,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,z)),u))),a(x,a(y,a(a(a(a(z,u),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,z)),u)))),u),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,z)),u))))))),    a(x,a(y,a(a(a(N,a(N,z)),u),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,z)),u))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u))),a(a(a(N,x),y),a(a(a(a(z,u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))))),    a(a(a(x,a(a(a(N,a(N,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u))))),y),a(a(a(N,a(N,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z)))),a(x,a(a(a(a(y,a(f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z)))),a(a(N,y),z))),z),a(f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z)))),a(a(N,y),z))),f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z))))))),    a(x,a(a(a(N,a(N,B)),a(a(N,y),z)),f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),a(a(B,y),z)))),a(x,a(a(y,a(z,a(f(a(a(B,x),a(a(N,a(N,B)),a(a(B,y),z)))),a(a(B,y),z)))),f(a(a(B,x),a(a(N,a(N,B)),a(a(B,y),z))))))),    a(x,a(a(a(N,a(N,B)),a(a(B,y),z)),f(a(a(B,x),a(a(N,a(N,B)),a(a(B,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),a(N,y)))),a(x,a(a(a(y,f(a(a(B,x),a(a(N,a(N,B)),a(N,y))))),a(f(a(a(B,x),a(a(N,a(N,B)),a(N,y)))),a(N,y))),f(a(a(B,x),a(a(N,a(N,B)),a(N,y))))))),    a(x,a(a(a(N,a(N,B)),a(N,y)),f(a(a(B,x),a(a(N,a(N,B)),a(N,y))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),a(B,y)))),a(x,a(y,a(a(f(a(a(B,x),a(a(N,a(N,B)),a(B,y)))),a(B,y)),f(a(a(B,x),a(a(N,a(N,B)),a(B,y)))))))),    a(x,a(a(a(N,a(N,B)),a(B,y)),f(a(a(B,x),a(a(N,a(N,B)),a(B,y))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),a(a(a(x,a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),z)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))))),y),a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),z)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z)))))),    a(a(a(N,x),y),a(a(a(N,a(N,B)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,B)),z))),a(x,a(y,a(a(z,a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,B)),z))),z)),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,B)),z))))))),    a(x,a(y,a(a(a(N,a(N,B)),z),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,B)),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),y))),a(x,a(a(y,a(f(a(a(B,x),a(a(N,a(N,B)),y))),y)),f(a(a(B,x),a(a(N,a(N,B)),y)))))),    a(x,a(a(a(a(N,B),f(a(a(B,x),a(a(N,a(N,B)),y)))),y),f(a(a(B,x),a(a(N,a(N,B)),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),a(a(a(N,x),y),a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),z)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z)))))),    a(a(a(x,a(a(a(N,a(N,B)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))))),y),a(a(a(N,a(N,B)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u))),a(a(a(x,a(a(a(N,a(N,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u))))),y),a(a(a(N,a(N,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))))),    a(a(a(N,x),y),a(a(a(a(z,u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,z)),u))),a(x,a(y,a(a(a(N,a(N,z)),u),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,z)),u))))))),    a(x,a(y,a(a(a(a(z,u),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,z)),u)))),u),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,z)),u))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,a(a(N,y),z))),u))),a(x,a(a(a(N,a(N,a(a(N,y),z))),u),f(a(a(B,x),a(a(N,a(N,a(a(N,y),z))),u)))))),    a(x,a(a(a(a(a(a(y,u),z),u),f(a(a(B,x),a(a(N,a(N,a(a(N,y),z))),u)))),u),f(a(a(B,x),a(a(N,a(N,a(a(N,y),z))),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,a(a(B,y),z))),u))),a(x,a(a(a(N,a(N,a(a(B,y),z))),u),f(a(a(B,x),a(a(N,a(N,a(a(B,y),z))),u)))))),    a(x,a(a(a(a(y,a(z,u)),f(a(a(B,x),a(a(N,a(N,a(a(B,y),z))),u)))),u),f(a(a(B,x),a(a(N,a(N,a(a(B,y),z))),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,a(N,y))),z))),a(x,a(a(a(N,a(N,a(N,y))),z),f(a(a(B,x),a(a(N,a(N,a(N,y))),z)))))),    a(x,a(a(a(a(a(y,f(a(a(B,x),a(a(N,a(N,a(N,y))),z)))),z),f(a(a(B,x),a(a(N,a(N,a(N,y))),z)))),z),f(a(a(B,x),a(a(N,a(N,a(N,y))),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,a(B,y))),z))),a(x,a(a(a(N,a(N,a(B,y))),z),f(a(a(B,x),a(a(N,a(N,a(B,y))),z)))))),    a(x,a(a(a(y,a(z,f(a(a(B,x),a(a(N,a(N,a(B,y))),z))))),z),f(a(a(B,x),a(a(N,a(N,a(B,y))),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),y))),a(x,a(a(a(N,a(N,N)),y),f(a(a(B,x),a(a(N,a(N,N)),y)))))),    a(x,a(a(a(a(y,y),f(a(a(B,x),a(a(N,a(N,N)),y)))),y),f(a(a(B,x),a(a(N,a(N,N)),y)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),y))),a(x,a(a(a(N,a(N,B)),y),f(a(a(B,x),a(a(N,a(N,B)),y)))))),    a(x,a(a(y,a(f(a(a(B,x),a(a(N,a(N,B)),y))),y)),f(a(a(B,x),a(a(N,a(N,B)),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u))),a(a(a(N,x),y),a(a(a(N,a(N,z)),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))))),    a(a(a(x,a(a(a(a(z,u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u))))),y),a(a(a(a(z,u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,z)),u)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),y))),a(x,a(a(a(a(N,B),f(a(a(B,x),a(a(N,a(N,B)),y)))),y),f(a(a(B,x),a(a(N,a(N,B)),y)))))),    a(x,a(a(y,a(f(a(a(B,x),a(a(N,a(N,B)),y))),y)),f(a(a(B,x),a(a(N,a(N,B)),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),a(a(a(x,a(a(a(N,a(N,B)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))))),y),a(a(a(N,a(N,B)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z)))))),    a(a(a(N,x),y),a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),z)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,B)),z))),a(x,a(y,a(a(a(N,a(N,B)),z),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,B)),z))))))),    a(x,a(y,a(a(z,a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,B)),z))),z)),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,B)),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z)))),a(x,a(a(a(N,a(N,B)),a(a(N,y),z)),f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z))))))),    a(x,a(a(a(a(y,a(f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z)))),a(a(N,y),z))),z),a(f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z)))),a(a(N,y),z))),f(a(a(B,x),a(a(N,a(N,B)),a(a(N,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),a(a(B,y),z)))),a(x,a(a(a(N,a(N,B)),a(a(B,y),z)),f(a(a(B,x),a(a(N,a(N,B)),a(a(B,y),z))))))),    a(x,a(a(y,a(z,a(f(a(a(B,x),a(a(N,a(N,B)),a(a(B,y),z)))),a(a(B,y),z)))),f(a(a(B,x),a(a(N,a(N,B)),a(a(B,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),a(N,y)))),a(x,a(a(a(N,a(N,B)),a(N,y)),f(a(a(B,x),a(a(N,a(N,B)),a(N,y))))))),    a(x,a(a(a(y,f(a(a(B,x),a(a(N,a(N,B)),a(N,y))))),a(f(a(a(B,x),a(a(N,a(N,B)),a(N,y)))),a(N,y))),f(a(a(B,x),a(a(N,a(N,B)),a(N,y))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,B)),a(B,y)))),a(x,a(a(a(N,a(N,B)),a(B,y)),f(a(a(B,x),a(a(N,a(N,B)),a(B,y))))))),    a(x,a(y,a(a(f(a(a(B,x),a(a(N,a(N,B)),a(B,y)))),a(B,y)),f(a(a(B,x),a(a(N,a(N,B)),a(B,y)))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),a(a(a(N,x),y),a(a(a(N,a(N,B)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z)))))),    a(a(a(x,a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),z)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))))),y),a(a(z,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z))),z)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,B)),z)))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u))),a(a(x,a(a(a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),y)),a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))),    a(a(a(N,a(B,x)),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(a(B,z),u))),a(a(x,a(a(z,a(u,f(a(a(B,a(a(N,a(B,x)),y)),a(a(B,z),u))))),y)),a(z,a(u,f(a(a(B,a(a(N,a(B,x)),y)),a(a(B,z),u))))))),    a(a(a(N,a(B,x)),y),a(z,a(u,f(a(a(B,a(a(N,a(B,x)),y)),a(a(B,z),u))))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(N,z))),a(a(x,a(a(a(z,y),f(a(a(B,a(a(N,a(B,x)),y)),a(N,z)))),y)),a(a(N,z),f(a(a(B,a(a(N,a(B,x)),y)),a(N,z)))))),    a(a(a(N,a(B,x)),y),a(a(N,z),f(a(a(B,a(a(N,a(B,x)),y)),a(N,z)))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(B,z))),a(a(x,a(z,a(f(a(a(B,a(a(N,a(B,x)),y)),a(B,z))),y))),a(a(B,z),f(a(a(B,a(a(N,a(B,x)),y)),a(B,z)))))),    a(a(a(N,a(B,x)),y),a(a(B,z),f(a(a(B,a(a(N,a(B,x)),y)),a(B,z)))))).
eq(a(f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u)),a(a(a(a(x,a(a(u,f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u))),z)),y),a(a(u,f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u))),z)),a(u,f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u))))),    a(a(a(N,a(B,a(a(N,x),y))),z),a(u,f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(B,a(a(B,x),y))),z)),u)),a(a(x,a(y,a(a(u,f(a(a(B,a(a(N,a(B,a(a(B,x),y))),z)),u))),z))),a(u,f(a(a(B,a(a(N,a(B,a(a(B,x),y))),z)),u))))),    a(a(a(N,a(B,a(a(B,x),y))),z),a(u,f(a(a(B,a(a(N,a(B,a(a(B,x),y))),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u))),a(a(x,a(a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),y)),a(a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))),    a(a(a(N,a(B,x)),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(B,a(N,x))),y)),z)),a(a(a(x,a(z,f(a(a(B,a(a(N,a(B,a(N,x))),y)),z)))),a(a(z,f(a(a(B,a(a(N,a(B,a(N,x))),y)),z))),y)),a(z,f(a(a(B,a(a(N,a(B,a(N,x))),y)),z))))),    a(a(a(N,a(B,a(N,x))),y),a(z,f(a(a(B,a(a(N,a(B,a(N,x))),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(B,a(B,x))),y)),z)),a(x,a(a(a(z,f(a(a(B,a(a(N,a(B,a(B,x))),y)),z))),y),a(z,f(a(a(B,a(a(N,a(B,a(B,x))),y)),z)))))),    a(a(a(N,a(B,a(B,x))),y),a(z,f(a(a(B,a(a(N,a(B,a(B,x))),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u))),a(a(x,a(a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),y)),a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))),    a(a(a(N,a(B,x)),y),a(a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),z)),a(a(x,a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))),y)),a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))))),    a(a(x,a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))),y)),a(z,f(a(a(B,a(a(N,a(B,x)),y)),z))))).
eq(a(f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z))),a(z,a(f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z))),a(a(a(x,a(a(B,z),f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z))))),y),a(a(B,z),f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z)))))))),    a(a(a(N,B),a(a(N,x),y)),a(a(B,z),f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z)))))).
eq(a(f(a(a(B,a(a(N,B),a(a(B,x),y))),a(B,z))),a(z,a(f(a(a(B,a(a(N,B),a(a(B,x),y))),a(B,z))),a(x,a(y,a(a(B,z),f(a(a(B,a(a(N,B),a(a(B,x),y))),a(B,z))))))))),    a(a(a(N,B),a(a(B,x),y)),a(a(B,z),f(a(a(B,a(a(N,B),a(a(B,x),y))),a(B,z)))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z)))),a(a(a(y,a(f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z)))),a(x,a(a(B,a(a(N,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z)))))))),z),a(f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z)))),a(x,a(a(B,a(a(N,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z))))))))),    a(a(a(N,B),x),a(a(B,a(a(N,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(B,a(a(B,y),z)))),a(y,a(z,a(f(a(a(B,a(a(N,B),x)),a(B,a(a(B,y),z)))),a(x,a(a(B,a(a(B,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(B,y),z)))))))))),    a(a(a(N,B),x),a(a(B,a(a(B,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u))),a(a(a(N,a(B,x)),y),a(a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))),    a(a(x,a(a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),y)),a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(a(B,z),u))),a(a(a(N,a(B,x)),y),a(z,a(u,f(a(a(B,a(a(N,a(B,x)),y)),a(a(B,z),u))))))),    a(a(x,a(a(z,a(u,f(a(a(B,a(a(N,a(B,x)),y)),a(a(B,z),u))))),y)),a(z,a(u,f(a(a(B,a(a(N,a(B,x)),y)),a(a(B,z),u))))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u))),a(a(a(N,a(B,x)),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))),    a(a(x,a(a(a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),y)),a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(N,z))),a(a(a(N,a(B,x)),y),a(a(N,z),f(a(a(B,a(a(N,a(B,x)),y)),a(N,z)))))),    a(a(x,a(a(a(z,y),f(a(a(B,a(a(N,a(B,x)),y)),a(N,z)))),y)),a(a(N,z),f(a(a(B,a(a(N,a(B,x)),y)),a(N,z)))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(B,z))),a(a(a(N,a(B,x)),y),a(a(B,z),f(a(a(B,a(a(N,a(B,x)),y)),a(B,z)))))),    a(a(x,a(z,a(f(a(a(B,a(a(N,a(B,x)),y)),a(B,z))),y))),a(a(B,z),f(a(a(B,a(a(N,a(B,x)),y)),a(B,z)))))).
eq(a(f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u)),a(a(a(N,a(B,a(a(N,x),y))),z),a(u,f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u))))),    a(a(a(a(x,a(a(u,f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u))),z)),y),a(a(u,f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u))),z)),a(u,f(a(a(B,a(a(N,a(B,a(a(N,x),y))),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(B,a(a(B,x),y))),z)),u)),a(a(a(N,a(B,a(a(B,x),y))),z),a(u,f(a(a(B,a(a(N,a(B,a(a(B,x),y))),z)),u))))),    a(a(x,a(y,a(a(u,f(a(a(B,a(a(N,a(B,a(a(B,x),y))),z)),u))),z))),a(u,f(a(a(B,a(a(N,a(B,a(a(B,x),y))),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u))),a(a(a(N,a(B,x)),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))),    a(a(x,a(a(a(a(N,z),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),y)),a(a(a(z,f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(B,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(B,a(N,x))),y)),z)),a(a(a(N,a(B,a(N,x))),y),a(z,f(a(a(B,a(a(N,a(B,a(N,x))),y)),z))))),    a(a(a(x,a(z,f(a(a(B,a(a(N,a(B,a(N,x))),y)),z)))),a(a(z,f(a(a(B,a(a(N,a(B,a(N,x))),y)),z))),y)),a(z,f(a(a(B,a(a(N,a(B,a(N,x))),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(B,a(B,x))),y)),z)),a(a(a(N,a(B,a(B,x))),y),a(z,f(a(a(B,a(a(N,a(B,a(B,x))),y)),z))))),    a(x,a(a(a(z,f(a(a(B,a(a(N,a(B,a(B,x))),y)),z))),y),a(z,f(a(a(B,a(a(N,a(B,a(B,x))),y)),z)))))).
eq(a(f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z))),a(a(a(N,B),a(a(N,x),y)),a(a(B,z),f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z)))))),    a(z,a(f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z))),a(a(a(x,a(a(B,z),f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z))))),y),a(a(B,z),f(a(a(B,a(a(N,B),a(a(N,x),y))),a(B,z)))))))).
eq(a(f(a(a(B,a(a(N,B),a(a(B,x),y))),a(B,z))),a(a(a(N,B),a(a(B,x),y)),a(a(B,z),f(a(a(B,a(a(N,B),a(a(B,x),y))),a(B,z)))))),    a(z,a(f(a(a(B,a(a(N,B),a(a(B,x),y))),a(B,z))),a(x,a(y,a(a(B,z),f(a(a(B,a(a(N,B),a(a(B,x),y))),a(B,z))))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z)))),a(a(a(N,B),x),a(a(B,a(a(N,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z))))))),    a(a(a(y,a(f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z)))),a(x,a(a(B,a(a(N,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z)))))))),z),a(f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z)))),a(x,a(a(B,a(a(N,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(N,y),z))))))))).
eq(a(f(a(a(B,a(a(N,B),x)),a(B,a(a(B,y),z)))),a(a(a(N,B),x),a(a(B,a(a(B,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(B,y),z))))))),    a(y,a(z,a(f(a(a(B,a(a(N,B),x)),a(B,a(a(B,y),z)))),a(x,a(a(B,a(a(B,y),z)),f(a(a(B,a(a(N,B),x)),a(B,a(a(B,y),z)))))))))).
eq(a(f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u)),a(a(x,a(a(a(a(y,f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u))),z),f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u))),u)),f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u)))),    a(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u),f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u)),a(a(x,a(a(y,a(z,f(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u)))),u)),f(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u)))),    a(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u),f(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),a(N,y))),z)),a(a(x,a(a(a(y,z),f(a(a(N,a(a(B,a(B,x)),a(N,y))),z))),z)),f(a(a(N,a(a(B,a(B,x)),a(N,y))),z)))),    a(a(a(N,a(a(B,a(B,x)),a(N,y))),z),f(a(a(N,a(a(B,a(B,x)),a(N,y))),z)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),a(B,y))),z)),a(a(x,a(y,a(f(a(a(N,a(a(B,a(B,x)),a(B,y))),z)),z))),f(a(a(N,a(a(B,a(B,x)),a(B,y))),z)))),    a(a(a(N,a(a(B,a(B,x)),a(B,y))),z),f(a(a(N,a(a(B,a(B,x)),a(B,y))),z)))).
eq(a(f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u)),a(a(a(a(x,a(a(z,f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u))),u)),y),a(a(z,f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u))),u)),f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u)))),    a(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u),f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u)),a(a(x,a(y,a(a(z,f(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u))),u))),f(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u)))),    a(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u),f(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(B,a(N,x))),y)),z)),a(a(a(x,f(a(a(N,a(a(B,a(B,a(N,x))),y)),z))),a(a(y,f(a(a(N,a(a(B,a(B,a(N,x))),y)),z))),z)),f(a(a(N,a(a(B,a(B,a(N,x))),y)),z)))),    a(a(a(N,a(a(B,a(B,a(N,x))),y)),z),f(a(a(N,a(a(B,a(B,a(N,x))),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(B,a(B,x))),y)),z)),a(x,a(a(a(y,f(a(a(N,a(a(B,a(B,a(B,x))),y)),z))),z),f(a(a(N,a(a(B,a(B,a(B,x))),y)),z))))),    a(a(a(N,a(a(B,a(B,a(B,x))),y)),z),f(a(a(N,a(a(B,a(B,a(B,x))),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u)),a(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u),f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u)))),    a(a(x,a(a(a(a(y,f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u))),z),f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u))),u)),f(a(a(N,a(a(B,a(B,x)),a(a(N,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u)),a(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u),f(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u)))),    a(a(x,a(a(y,a(z,f(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u)))),u)),f(a(a(N,a(a(B,a(B,x)),a(a(B,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),a(N,y))),z)),a(a(a(N,a(a(B,a(B,x)),a(N,y))),z),f(a(a(N,a(a(B,a(B,x)),a(N,y))),z)))),    a(a(x,a(a(a(y,z),f(a(a(N,a(a(B,a(B,x)),a(N,y))),z))),z)),f(a(a(N,a(a(B,a(B,x)),a(N,y))),z)))).
eq(a(f(a(a(N,a(a(B,a(B,x)),a(B,y))),z)),a(a(a(N,a(a(B,a(B,x)),a(B,y))),z),f(a(a(N,a(a(B,a(B,x)),a(B,y))),z)))),    a(a(x,a(y,a(f(a(a(N,a(a(B,a(B,x)),a(B,y))),z)),z))),f(a(a(N,a(a(B,a(B,x)),a(B,y))),z)))).
eq(a(f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u)),a(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u),f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u)))),    a(a(a(a(x,a(a(z,f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u))),u)),y),a(a(z,f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u))),u)),f(a(a(N,a(a(B,a(B,a(a(N,x),y))),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u)),a(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u),f(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u)))),    a(a(x,a(y,a(a(z,f(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u))),u))),f(a(a(N,a(a(B,a(B,a(a(B,x),y))),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(B,a(N,x))),y)),z)),a(a(a(N,a(a(B,a(B,a(N,x))),y)),z),f(a(a(N,a(a(B,a(B,a(N,x))),y)),z)))),    a(a(a(x,f(a(a(N,a(a(B,a(B,a(N,x))),y)),z))),a(a(y,f(a(a(N,a(a(B,a(B,a(N,x))),y)),z))),z)),f(a(a(N,a(a(B,a(B,a(N,x))),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(B,a(B,x))),y)),z)),a(a(a(N,a(a(B,a(B,a(B,x))),y)),z),f(a(a(N,a(a(B,a(B,a(B,x))),y)),z)))),    a(x,a(a(a(y,f(a(a(N,a(a(B,a(B,a(B,x))),y)),z))),z),f(a(a(N,a(a(B,a(B,a(B,x))),y)),z))))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z))),a(a(x,a(a(a(a(y,f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z)))),a(a(N,y),z))),f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z))))),    a(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z)),f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z))),a(a(x,a(a(y,a(z,f(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z))))),a(a(B,y),z))),f(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z))))),    a(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z)),f(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),a(N,y))),a(a(x,a(a(a(y,a(N,y)),f(a(a(N,a(N,a(B,a(B,x)))),a(N,y)))),a(N,y))),f(a(a(N,a(N,a(B,a(B,x)))),a(N,y))))),    a(a(a(N,a(N,a(B,a(B,x)))),a(N,y)),f(a(a(N,a(N,a(B,a(B,x)))),a(N,y))))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),a(B,y))),a(a(x,a(y,a(f(a(a(N,a(N,a(B,a(B,x)))),a(B,y))),a(B,y)))),f(a(a(N,a(N,a(B,a(B,x)))),a(B,y))))),    a(a(a(N,a(N,a(B,a(B,x)))),a(B,y)),f(a(a(N,a(N,a(B,a(B,x)))),a(B,y))))).
eq(a(f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z)),a(a(a(a(x,a(a(z,f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z))),z)),y),a(a(z,f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z))),z)),f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z)))),    a(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z),f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z)),a(a(x,a(y,a(a(z,f(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z))),z))),f(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z)))),    a(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z),f(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(B,a(N,x))))),y)),a(a(a(x,f(a(a(N,a(N,a(B,a(B,a(N,x))))),y))),a(a(y,f(a(a(N,a(N,a(B,a(B,a(N,x))))),y))),y)),f(a(a(N,a(N,a(B,a(B,a(N,x))))),y)))),    a(a(a(N,a(N,a(B,a(B,a(N,x))))),y),f(a(a(N,a(N,a(B,a(B,a(N,x))))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(B,a(B,x))))),y)),a(x,a(a(a(y,f(a(a(N,a(N,a(B,a(B,a(B,x))))),y))),y),f(a(a(N,a(N,a(B,a(B,a(B,x))))),y))))),    a(a(a(N,a(N,a(B,a(B,a(B,x))))),y),f(a(a(N,a(N,a(B,a(B,a(B,x))))),y)))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))),a(a(a(x,a(f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))),a(a(B,a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y))))))),y),a(f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))),a(a(B,a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))))))),    a(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y))),f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y)))),a(x,a(y,a(f(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y)))),a(a(B,a(a(B,x),y)),f(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y))))))))),    a(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y))),f(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y)))))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z))),a(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z)),f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z))))),    a(a(x,a(a(a(a(y,f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z)))),a(a(N,y),z))),f(a(a(N,a(N,a(B,a(B,x)))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z))),a(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z)),f(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z))))),    a(a(x,a(a(y,a(z,f(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z))))),a(a(B,y),z))),f(a(a(N,a(N,a(B,a(B,x)))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),a(N,y))),a(a(a(N,a(N,a(B,a(B,x)))),a(N,y)),f(a(a(N,a(N,a(B,a(B,x)))),a(N,y))))),    a(a(x,a(a(a(y,a(N,y)),f(a(a(N,a(N,a(B,a(B,x)))),a(N,y)))),a(N,y))),f(a(a(N,a(N,a(B,a(B,x)))),a(N,y))))).
eq(a(f(a(a(N,a(N,a(B,a(B,x)))),a(B,y))),a(a(a(N,a(N,a(B,a(B,x)))),a(B,y)),f(a(a(N,a(N,a(B,a(B,x)))),a(B,y))))),    a(a(x,a(y,a(f(a(a(N,a(N,a(B,a(B,x)))),a(B,y))),a(B,y)))),f(a(a(N,a(N,a(B,a(B,x)))),a(B,y))))).
eq(a(f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z)),a(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z),f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z)))),    a(a(a(a(x,a(a(z,f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z))),z)),y),a(a(z,f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z))),z)),f(a(a(N,a(N,a(B,a(B,a(a(N,x),y))))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z)),a(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z),f(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z)))),    a(a(x,a(y,a(a(z,f(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z))),z))),f(a(a(N,a(N,a(B,a(B,a(a(B,x),y))))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(B,a(N,x))))),y)),a(a(a(N,a(N,a(B,a(B,a(N,x))))),y),f(a(a(N,a(N,a(B,a(B,a(N,x))))),y)))),    a(a(a(x,f(a(a(N,a(N,a(B,a(B,a(N,x))))),y))),a(a(y,f(a(a(N,a(N,a(B,a(B,a(N,x))))),y))),y)),f(a(a(N,a(N,a(B,a(B,a(N,x))))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(B,a(B,x))))),y)),a(a(a(N,a(N,a(B,a(B,a(B,x))))),y),f(a(a(N,a(N,a(B,a(B,a(B,x))))),y)))),    a(x,a(a(a(y,f(a(a(N,a(N,a(B,a(B,a(B,x))))),y))),y),f(a(a(N,a(N,a(B,a(B,a(B,x))))),y))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))),a(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y))),f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))))),    a(a(a(x,a(f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))),a(a(B,a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y))))))),y),a(f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))),a(a(B,a(a(N,x),y)),f(a(a(N,a(N,a(B,B))),a(B,a(a(N,x),y)))))))).
eq(a(f(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y)))),a(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y))),f(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y)))))),    a(x,a(y,a(f(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y)))),a(a(B,a(a(B,x),y)),f(a(a(N,a(N,a(B,B))),a(B,a(a(B,x),y))))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),a(a(N,y),z)))),a(x,a(a(a(a(a(a(y,a(a(N,y),z)),z),a(a(N,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(N,y),z))))))),    a(x,a(a(a(N,a(N,N)),a(a(N,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(N,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),a(a(B,y),z)))),a(x,a(a(a(a(y,a(z,a(a(B,y),z))),f(a(a(B,x),a(a(N,a(N,N)),a(a(B,y),z))))),a(a(B,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(B,y),z))))))),    a(x,a(a(a(N,a(N,N)),a(a(B,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(B,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),a(N,y)))),a(x,a(a(a(a(a(y,f(a(a(B,x),a(a(N,a(N,N)),a(N,y))))),a(N,y)),f(a(a(B,x),a(a(N,a(N,N)),a(N,y))))),a(N,y)),f(a(a(B,x),a(a(N,a(N,N)),a(N,y))))))),    a(x,a(a(a(N,a(N,N)),a(N,y)),f(a(a(B,x),a(a(N,a(N,N)),a(N,y))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),a(B,y)))),a(x,a(a(a(y,a(a(B,y),f(a(a(B,x),a(a(N,a(N,N)),a(B,y)))))),a(B,y)),f(a(a(B,x),a(a(N,a(N,N)),a(B,y))))))),    a(x,a(a(a(N,a(N,N)),a(B,y)),f(a(a(B,x),a(a(N,a(N,N)),a(B,y))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),B))),a(x,a(a(B,a(f(a(a(B,x),a(a(N,a(N,N)),B))),B)),f(a(a(B,x),a(a(N,a(N,N)),B)))))),    a(x,a(a(a(N,a(N,N)),B),f(a(a(B,x),a(a(N,a(N,N)),B)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z))),a(a(a(x,a(a(a(a(z,z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z))))),y),a(a(a(a(z,z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))))),    a(a(a(N,x),y),a(a(a(N,a(N,N)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),z))),a(x,a(y,a(a(a(a(z,z),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),z)))),z),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),z))))))),    a(x,a(y,a(a(a(N,a(N,N)),z),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),y))),a(x,a(a(a(a(y,y),f(a(a(B,x),a(a(N,a(N,N)),y)))),y),f(a(a(B,x),a(a(N,a(N,N)),y)))))),    a(x,a(a(a(a(N,N),f(a(a(B,x),a(a(N,a(N,N)),y)))),y),f(a(a(B,x),a(a(N,a(N,N)),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z))),a(a(a(N,x),y),a(a(a(a(z,z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))))),    a(a(a(x,a(a(a(N,a(N,N)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z))))),y),a(a(a(N,a(N,N)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),a(a(a(x,a(a(B,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),B)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))))),y),a(a(B,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),B)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B)))))),    a(a(a(N,x),y),a(a(a(N,a(N,N)),B),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),B))),a(x,a(y,a(a(B,a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),B))),B)),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),B))))))),    a(x,a(y,a(a(a(N,a(N,N)),B),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),B))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),B))),a(x,a(a(B,a(f(a(a(B,x),a(a(N,a(N,N)),B))),B)),f(a(a(B,x),a(a(N,a(N,N)),B)))))),    a(x,a(a(a(a(N,N),f(a(a(B,x),a(a(N,a(N,N)),B)))),B),f(a(a(B,x),a(a(N,a(N,N)),B)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),a(a(a(N,x),y),a(a(B,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),B)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B)))))),    a(a(a(x,a(a(a(N,a(N,N)),B),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))))),y),a(a(a(N,a(N,N)),B),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),y))),a(x,a(a(a(a(N,N),f(a(a(B,x),a(a(N,a(N,N)),y)))),y),f(a(a(B,x),a(a(N,a(N,N)),y)))))),    a(x,a(a(a(a(y,y),f(a(a(B,x),a(a(N,a(N,N)),y)))),y),f(a(a(B,x),a(a(N,a(N,N)),y)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z))),a(a(a(x,a(a(a(N,a(N,N)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z))))),y),a(a(a(N,a(N,N)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))))),    a(a(a(N,x),y),a(a(a(a(z,z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),z))),a(x,a(y,a(a(a(N,a(N,N)),z),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),z))))))),    a(x,a(y,a(a(a(a(z,z),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),z)))),z),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),a(a(N,y),z)))),a(x,a(a(a(N,a(N,N)),a(a(N,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(N,y),z))))))),    a(x,a(a(a(a(a(a(y,a(a(N,y),z)),z),a(a(N,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(N,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),a(a(B,y),z)))),a(x,a(a(a(N,a(N,N)),a(a(B,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(B,y),z))))))),    a(x,a(a(a(a(y,a(z,a(a(B,y),z))),f(a(a(B,x),a(a(N,a(N,N)),a(a(B,y),z))))),a(a(B,y),z)),f(a(a(B,x),a(a(N,a(N,N)),a(a(B,y),z))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),a(N,y)))),a(x,a(a(a(N,a(N,N)),a(N,y)),f(a(a(B,x),a(a(N,a(N,N)),a(N,y))))))),    a(x,a(a(a(a(a(y,f(a(a(B,x),a(a(N,a(N,N)),a(N,y))))),a(N,y)),f(a(a(B,x),a(a(N,a(N,N)),a(N,y))))),a(N,y)),f(a(a(B,x),a(a(N,a(N,N)),a(N,y))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),a(B,y)))),a(x,a(a(a(N,a(N,N)),a(B,y)),f(a(a(B,x),a(a(N,a(N,N)),a(B,y))))))),    a(x,a(a(a(y,a(a(B,y),f(a(a(B,x),a(a(N,a(N,N)),a(B,y)))))),a(B,y)),f(a(a(B,x),a(a(N,a(N,N)),a(B,y))))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),B))),a(x,a(a(a(N,a(N,N)),B),f(a(a(B,x),a(a(N,a(N,N)),B)))))),    a(x,a(a(B,a(f(a(a(B,x),a(a(N,a(N,N)),B))),B)),f(a(a(B,x),a(a(N,a(N,N)),B)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z))),a(a(a(N,x),y),a(a(a(N,a(N,N)),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))))),    a(a(a(x,a(a(a(a(z,z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z))))),y),a(a(a(a(z,z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))),z),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),z)))))).
eq(a(f(a(a(B,x),a(a(N,a(N,N)),B))),a(x,a(a(a(a(N,N),f(a(a(B,x),a(a(N,a(N,N)),B)))),B),f(a(a(B,x),a(a(N,a(N,N)),B)))))),    a(x,a(a(B,a(f(a(a(B,x),a(a(N,a(N,N)),B))),B)),f(a(a(B,x),a(a(N,a(N,N)),B)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),a(a(a(x,a(a(a(N,a(N,N)),B),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))))),y),a(a(a(N,a(N,N)),B),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B)))))),    a(a(a(N,x),y),a(a(B,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),B)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B)))))).
eq(a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),B))),a(x,a(y,a(a(a(N,a(N,N)),B),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),B))))))),    a(x,a(y,a(a(B,a(f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),B))),B)),f(a(a(B,a(a(B,x),y)),a(a(N,a(N,N)),B))))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),a(a(a(N,x),y),a(a(a(N,a(N,N)),B),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B)))))),    a(a(a(x,a(a(B,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),B)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))))),y),a(a(B,a(f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B))),B)),f(a(a(B,a(a(N,x),y)),a(a(N,a(N,N)),B)))))).
eq(a(f(a(a(N,a(a(N,a(a(N,x),y)),z)),u)),a(a(a(a(a(a(a(x,f(a(a(N,a(a(N,a(a(N,x),y)),z)),u))),y),f(a(a(N,a(a(N,a(a(N,x),y)),z)),u))),z),f(a(a(N,a(a(N,a(a(N,x),y)),z)),u))),u),f(a(a(N,a(a(N,a(a(N,x),y)),z)),u)))),    a(a(a(N,a(a(N,a(a(N,x),y)),z)),u),f(a(a(N,a(a(N,a(a(N,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(N,a(a(B,x),y)),z)),u)),a(a(a(a(a(x,a(y,f(a(a(N,a(a(N,a(a(B,x),y)),z)),u)))),z),f(a(a(N,a(a(N,a(a(B,x),y)),z)),u))),u),f(a(a(N,a(a(N,a(a(B,x),y)),z)),u)))),    a(a(a(N,a(a(N,a(a(B,x),y)),z)),u),f(a(a(N,a(a(N,a(a(B,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(N,a(N,x)),y)),z)),a(a(a(a(a(a(x,y),f(a(a(N,a(a(N,a(N,x)),y)),z))),y),f(a(a(N,a(a(N,a(N,x)),y)),z))),z),f(a(a(N,a(a(N,a(N,x)),y)),z)))),    a(a(a(N,a(a(N,a(N,x)),y)),z),f(a(a(N,a(a(N,a(N,x)),y)),z)))).
eq(a(f(a(a(N,a(a(N,a(B,x)),y)),z)),a(a(a(a(x,a(f(a(a(N,a(a(N,a(B,x)),y)),z)),y)),f(a(a(N,a(a(N,a(B,x)),y)),z))),z),f(a(a(N,a(a(N,a(B,x)),y)),z)))),    a(a(a(N,a(a(N,a(B,x)),y)),z),f(a(a(N,a(a(N,a(B,x)),y)),z)))).
eq(a(f(a(a(N,a(a(N,N),x)),y)),a(a(a(a(a(f(a(a(N,a(a(N,N),x)),y)),f(a(a(N,a(a(N,N),x)),y))),x),f(a(a(N,a(a(N,N),x)),y))),y),f(a(a(N,a(a(N,N),x)),y)))),    a(a(a(N,a(a(N,N),x)),y),f(a(a(N,a(a(N,N),x)),y)))).
eq(a(f(a(a(N,a(a(N,B),x)),y)),a(a(a(f(a(a(N,a(a(N,B),x)),y)),a(x,f(a(a(N,a(a(N,B),x)),y)))),y),f(a(a(N,a(a(N,B),x)),y)))),    a(a(a(N,a(a(N,B),x)),y),f(a(a(N,a(a(N,B),x)),y)))).
eq(a(f(a(a(N,a(a(N,B),a(a(N,x),y))),z)),a(a(a(f(a(a(N,a(a(N,B),a(a(N,x),y))),z)),a(a(a(x,f(a(a(N,a(a(N,B),a(a(N,x),y))),z))),y),f(a(a(N,a(a(N,B),a(a(N,x),y))),z)))),z),f(a(a(N,a(a(N,B),a(a(N,x),y))),z)))),    a(a(a(N,a(a(N,B),a(a(N,x),y))),z),f(a(a(N,a(a(N,B),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(N,B),a(a(B,x),y))),z)),a(a(a(f(a(a(N,a(a(N,B),a(a(B,x),y))),z)),a(x,a(y,f(a(a(N,a(a(N,B),a(a(B,x),y))),z))))),z),f(a(a(N,a(a(N,B),a(a(B,x),y))),z)))),    a(a(a(N,a(a(N,B),a(a(B,x),y))),z),f(a(a(N,a(a(N,B),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(a(N,B),x)),y)),a(a(a(f(a(a(N,a(a(N,B),x)),y)),a(x,f(a(a(N,a(a(N,B),x)),y)))),y),f(a(a(N,a(a(N,B),x)),y)))),    a(a(a(a(a(N,B),x),f(a(a(N,a(a(N,B),x)),y))),y),f(a(a(N,a(a(N,B),x)),y)))).
eq(a(f(a(a(N,a(a(N,a(a(N,x),y)),z)),u)),a(a(a(N,a(a(N,a(a(N,x),y)),z)),u),f(a(a(N,a(a(N,a(a(N,x),y)),z)),u)))),    a(a(a(a(a(a(a(x,f(a(a(N,a(a(N,a(a(N,x),y)),z)),u))),y),f(a(a(N,a(a(N,a(a(N,x),y)),z)),u))),z),f(a(a(N,a(a(N,a(a(N,x),y)),z)),u))),u),f(a(a(N,a(a(N,a(a(N,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(N,a(a(B,x),y)),z)),u)),a(a(a(N,a(a(N,a(a(B,x),y)),z)),u),f(a(a(N,a(a(N,a(a(B,x),y)),z)),u)))),    a(a(a(a(a(x,a(y,f(a(a(N,a(a(N,a(a(B,x),y)),z)),u)))),z),f(a(a(N,a(a(N,a(a(B,x),y)),z)),u))),u),f(a(a(N,a(a(N,a(a(B,x),y)),z)),u)))).
eq(a(f(a(a(N,a(a(N,a(N,x)),y)),z)),a(a(a(N,a(a(N,a(N,x)),y)),z),f(a(a(N,a(a(N,a(N,x)),y)),z)))),    a(a(a(a(a(a(x,y),f(a(a(N,a(a(N,a(N,x)),y)),z))),y),f(a(a(N,a(a(N,a(N,x)),y)),z))),z),f(a(a(N,a(a(N,a(N,x)),y)),z)))).
eq(a(f(a(a(N,a(a(N,a(B,x)),y)),z)),a(a(a(N,a(a(N,a(B,x)),y)),z),f(a(a(N,a(a(N,a(B,x)),y)),z)))),    a(a(a(a(x,a(f(a(a(N,a(a(N,a(B,x)),y)),z)),y)),f(a(a(N,a(a(N,a(B,x)),y)),z))),z),f(a(a(N,a(a(N,a(B,x)),y)),z)))).
eq(a(f(a(a(N,a(a(N,N),x)),y)),a(a(a(N,a(a(N,N),x)),y),f(a(a(N,a(a(N,N),x)),y)))),    a(a(a(a(a(f(a(a(N,a(a(N,N),x)),y)),f(a(a(N,a(a(N,N),x)),y))),x),f(a(a(N,a(a(N,N),x)),y))),y),f(a(a(N,a(a(N,N),x)),y)))).
eq(a(f(a(a(N,a(a(N,B),x)),y)),a(a(a(N,a(a(N,B),x)),y),f(a(a(N,a(a(N,B),x)),y)))),    a(a(a(f(a(a(N,a(a(N,B),x)),y)),a(x,f(a(a(N,a(a(N,B),x)),y)))),y),f(a(a(N,a(a(N,B),x)),y)))).
eq(a(f(a(a(N,a(a(N,B),x)),y)),a(a(a(a(a(N,B),x),f(a(a(N,a(a(N,B),x)),y))),y),f(a(a(N,a(a(N,B),x)),y)))),    a(a(a(f(a(a(N,a(a(N,B),x)),y)),a(x,f(a(a(N,a(a(N,B),x)),y)))),y),f(a(a(N,a(a(N,B),x)),y)))).
eq(a(f(a(a(N,a(a(N,B),a(a(N,x),y))),z)),a(a(a(N,a(a(N,B),a(a(N,x),y))),z),f(a(a(N,a(a(N,B),a(a(N,x),y))),z)))),    a(a(a(f(a(a(N,a(a(N,B),a(a(N,x),y))),z)),a(a(a(x,f(a(a(N,a(a(N,B),a(a(N,x),y))),z))),y),f(a(a(N,a(a(N,B),a(a(N,x),y))),z)))),z),f(a(a(N,a(a(N,B),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(N,B),a(a(B,x),y))),z)),a(a(a(N,a(a(N,B),a(a(B,x),y))),z),f(a(a(N,a(a(N,B),a(a(B,x),y))),z)))),    a(a(a(f(a(a(N,a(a(N,B),a(a(B,x),y))),z)),a(x,a(y,f(a(a(N,a(a(N,B),a(a(B,x),y))),z))))),z),f(a(a(N,a(a(N,B),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(N,a(N,a(a(N,x),y)))),z)),a(a(a(a(a(a(a(x,f(a(a(N,a(N,a(N,a(a(N,x),y)))),z))),y),f(a(a(N,a(N,a(N,a(a(N,x),y)))),z))),z),f(a(a(N,a(N,a(N,a(a(N,x),y)))),z))),z),f(a(a(N,a(N,a(N,a(a(N,x),y)))),z)))),    a(a(a(N,a(N,a(N,a(a(N,x),y)))),z),f(a(a(N,a(N,a(N,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(N,a(a(B,x),y)))),z)),a(a(a(a(a(x,a(y,f(a(a(N,a(N,a(N,a(a(B,x),y)))),z)))),z),f(a(a(N,a(N,a(N,a(a(B,x),y)))),z))),z),f(a(a(N,a(N,a(N,a(a(B,x),y)))),z)))),    a(a(a(N,a(N,a(N,a(a(B,x),y)))),z),f(a(a(N,a(N,a(N,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(N,a(N,x)))),y)),a(a(a(a(a(a(x,y),f(a(a(N,a(N,a(N,a(N,x)))),y))),y),f(a(a(N,a(N,a(N,a(N,x)))),y))),y),f(a(a(N,a(N,a(N,a(N,x)))),y)))),    a(a(a(N,a(N,a(N,a(N,x)))),y),f(a(a(N,a(N,a(N,a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(N,a(B,x)))),y)),a(a(a(a(x,a(f(a(a(N,a(N,a(N,a(B,x)))),y)),y)),f(a(a(N,a(N,a(N,a(B,x)))),y))),y),f(a(a(N,a(N,a(N,a(B,x)))),y)))),    a(a(a(N,a(N,a(N,a(B,x)))),y),f(a(a(N,a(N,a(N,a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(N,N))),x)),a(a(a(a(a(f(a(a(N,a(N,a(N,N))),x)),f(a(a(N,a(N,a(N,N))),x))),x),f(a(a(N,a(N,a(N,N))),x))),x),f(a(a(N,a(N,a(N,N))),x)))),    a(a(a(N,a(N,a(N,N))),x),f(a(a(N,a(N,a(N,N))),x)))).
eq(a(f(a(a(N,a(N,a(N,B))),x)),a(a(a(f(a(a(N,a(N,a(N,B))),x)),a(x,f(a(a(N,a(N,a(N,B))),x)))),x),f(a(a(N,a(N,a(N,B))),x)))),    a(a(a(N,a(N,a(N,B))),x),f(a(a(N,a(N,a(N,B))),x)))).
eq(a(f(a(a(N,a(N,a(N,B))),a(a(N,x),y))),a(a(a(f(a(a(N,a(N,a(N,B))),a(a(N,x),y))),a(a(a(x,f(a(a(N,a(N,a(N,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(N,B))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(N,B))),a(a(N,x),y))))),    a(a(a(N,a(N,a(N,B))),a(a(N,x),y)),f(a(a(N,a(N,a(N,B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(N,B))),a(a(B,x),y))),a(a(a(f(a(a(N,a(N,a(N,B))),a(a(B,x),y))),a(x,a(y,f(a(a(N,a(N,a(N,B))),a(a(B,x),y)))))),a(a(B,x),y)),f(a(a(N,a(N,a(N,B))),a(a(B,x),y))))),    a(a(a(N,a(N,a(N,B))),a(a(B,x),y)),f(a(a(N,a(N,a(N,B))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(N,B))),x)),a(a(a(f(a(a(N,a(N,a(N,B))),x)),a(x,f(a(a(N,a(N,a(N,B))),x)))),x),f(a(a(N,a(N,a(N,B))),x)))),    a(a(a(a(N,a(N,B)),f(a(a(N,a(N,a(N,B))),x))),x),f(a(a(N,a(N,a(N,B))),x)))).
eq(a(f(a(a(N,a(N,B)),a(N,a(a(N,x),y)))),a(a(a(a(a(x,f(a(a(N,a(N,B)),a(N,a(a(N,x),y))))),y),f(a(a(N,a(N,B)),a(N,a(a(N,x),y))))),a(f(a(a(N,a(N,B)),a(N,a(a(N,x),y)))),a(N,a(a(N,x),y)))),f(a(a(N,a(N,B)),a(N,a(a(N,x),y)))))),    a(a(a(N,a(N,B)),a(N,a(a(N,x),y))),f(a(a(N,a(N,B)),a(N,a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))),a(a(a(x,a(y,f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))))),a(f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))),a(N,a(a(B,x),y)))),f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))))),    a(a(a(N,a(N,B)),a(N,a(a(B,x),y))),f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))))).
eq(a(f(a(a(N,a(N,B)),a(N,a(N,x)))),a(a(a(a(x,a(f(a(a(N,a(N,B)),a(N,a(N,x)))),a(N,a(N,x)))),f(a(a(N,a(N,B)),a(N,a(N,x))))),a(f(a(a(N,a(N,B)),a(N,a(N,x)))),a(N,a(N,x)))),f(a(a(N,a(N,B)),a(N,a(N,x)))))),    a(a(a(N,a(N,B)),a(N,a(N,x))),f(a(a(N,a(N,B)),a(N,a(N,x)))))).
eq(a(f(a(a(N,a(N,B)),a(N,a(B,x)))),a(a(x,a(f(a(a(N,a(N,B)),a(N,a(B,x)))),a(f(a(a(N,a(N,B)),a(N,a(B,x)))),a(N,a(B,x))))),f(a(a(N,a(N,B)),a(N,a(B,x)))))),    a(a(a(N,a(N,B)),a(N,a(B,x))),f(a(a(N,a(N,B)),a(N,a(B,x)))))).
eq(a(f(a(a(N,a(N,a(N,a(a(N,x),y)))),z)),a(a(a(N,a(N,a(N,a(a(N,x),y)))),z),f(a(a(N,a(N,a(N,a(a(N,x),y)))),z)))),    a(a(a(a(a(a(a(x,f(a(a(N,a(N,a(N,a(a(N,x),y)))),z))),y),f(a(a(N,a(N,a(N,a(a(N,x),y)))),z))),z),f(a(a(N,a(N,a(N,a(a(N,x),y)))),z))),z),f(a(a(N,a(N,a(N,a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(N,a(a(B,x),y)))),z)),a(a(a(N,a(N,a(N,a(a(B,x),y)))),z),f(a(a(N,a(N,a(N,a(a(B,x),y)))),z)))),    a(a(a(a(a(x,a(y,f(a(a(N,a(N,a(N,a(a(B,x),y)))),z)))),z),f(a(a(N,a(N,a(N,a(a(B,x),y)))),z))),z),f(a(a(N,a(N,a(N,a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(N,a(N,x)))),y)),a(a(a(N,a(N,a(N,a(N,x)))),y),f(a(a(N,a(N,a(N,a(N,x)))),y)))),    a(a(a(a(a(a(x,y),f(a(a(N,a(N,a(N,a(N,x)))),y))),y),f(a(a(N,a(N,a(N,a(N,x)))),y))),y),f(a(a(N,a(N,a(N,a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(N,a(B,x)))),y)),a(a(a(N,a(N,a(N,a(B,x)))),y),f(a(a(N,a(N,a(N,a(B,x)))),y)))),    a(a(a(a(x,a(f(a(a(N,a(N,a(N,a(B,x)))),y)),y)),f(a(a(N,a(N,a(N,a(B,x)))),y))),y),f(a(a(N,a(N,a(N,a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(N,N))),x)),a(a(a(N,a(N,a(N,N))),x),f(a(a(N,a(N,a(N,N))),x)))),    a(a(a(a(a(f(a(a(N,a(N,a(N,N))),x)),f(a(a(N,a(N,a(N,N))),x))),x),f(a(a(N,a(N,a(N,N))),x))),x),f(a(a(N,a(N,a(N,N))),x)))).
eq(a(f(a(a(N,a(N,a(N,B))),x)),a(a(a(N,a(N,a(N,B))),x),f(a(a(N,a(N,a(N,B))),x)))),    a(a(a(f(a(a(N,a(N,a(N,B))),x)),a(x,f(a(a(N,a(N,a(N,B))),x)))),x),f(a(a(N,a(N,a(N,B))),x)))).
eq(a(f(a(a(N,a(N,a(N,B))),x)),a(a(a(a(N,a(N,B)),f(a(a(N,a(N,a(N,B))),x))),x),f(a(a(N,a(N,a(N,B))),x)))),    a(a(a(f(a(a(N,a(N,a(N,B))),x)),a(x,f(a(a(N,a(N,a(N,B))),x)))),x),f(a(a(N,a(N,a(N,B))),x)))).
eq(a(f(a(a(N,a(N,a(N,B))),a(a(N,x),y))),a(a(a(N,a(N,a(N,B))),a(a(N,x),y)),f(a(a(N,a(N,a(N,B))),a(a(N,x),y))))),    a(a(a(f(a(a(N,a(N,a(N,B))),a(a(N,x),y))),a(a(a(x,f(a(a(N,a(N,a(N,B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(N,B))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(N,B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(N,B))),a(a(B,x),y))),a(a(a(N,a(N,a(N,B))),a(a(B,x),y)),f(a(a(N,a(N,a(N,B))),a(a(B,x),y))))),    a(a(a(f(a(a(N,a(N,a(N,B))),a(a(B,x),y))),a(x,a(y,f(a(a(N,a(N,a(N,B))),a(a(B,x),y)))))),a(a(B,x),y)),f(a(a(N,a(N,a(N,B))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,B)),a(N,a(a(N,x),y)))),a(a(a(N,a(N,B)),a(N,a(a(N,x),y))),f(a(a(N,a(N,B)),a(N,a(a(N,x),y)))))),    a(a(a(a(a(x,f(a(a(N,a(N,B)),a(N,a(a(N,x),y))))),y),f(a(a(N,a(N,B)),a(N,a(a(N,x),y))))),a(f(a(a(N,a(N,B)),a(N,a(a(N,x),y)))),a(N,a(a(N,x),y)))),f(a(a(N,a(N,B)),a(N,a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))),a(a(a(N,a(N,B)),a(N,a(a(B,x),y))),f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))))),    a(a(a(x,a(y,f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))))),a(f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))),a(N,a(a(B,x),y)))),f(a(a(N,a(N,B)),a(N,a(a(B,x),y)))))).
eq(a(f(a(a(N,a(N,B)),a(N,a(N,x)))),a(a(a(N,a(N,B)),a(N,a(N,x))),f(a(a(N,a(N,B)),a(N,a(N,x)))))),    a(a(a(a(x,a(f(a(a(N,a(N,B)),a(N,a(N,x)))),a(N,a(N,x)))),f(a(a(N,a(N,B)),a(N,a(N,x))))),a(f(a(a(N,a(N,B)),a(N,a(N,x)))),a(N,a(N,x)))),f(a(a(N,a(N,B)),a(N,a(N,x)))))).
eq(a(f(a(a(N,a(N,B)),a(N,a(B,x)))),a(a(a(N,a(N,B)),a(N,a(B,x))),f(a(a(N,a(N,B)),a(N,a(B,x)))))),    a(a(x,a(f(a(a(N,a(N,B)),a(N,a(B,x)))),a(f(a(a(N,a(N,B)),a(N,a(B,x)))),a(N,a(B,x))))),f(a(a(N,a(N,B)),a(N,a(B,x)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(N,y),z))),a(a(a(a(a(a(y,f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))),    a(a(a(N,N),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(B,y),z))),a(a(a(a(y,a(z,f(a(a(B,a(a(N,N),x)),a(a(B,y),z))))),a(y,a(z,f(a(a(B,a(a(N,N),x)),a(a(B,y),z)))))),x),a(y,a(z,f(a(a(B,a(a(N,N),x)),a(a(B,y),z))))))),    a(a(a(N,N),x),a(y,a(z,f(a(a(B,a(a(N,N),x)),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(N,y),z))),a(a(a(a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),a(a(a(y,f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))),    a(a(a(N,N),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(N,y))),a(a(a(a(a(y,a(a(N,y),f(a(a(B,a(a(N,N),x)),a(N,y))))),f(a(a(B,a(a(N,N),x)),a(N,y)))),a(a(N,y),f(a(a(B,a(a(N,N),x)),a(N,y))))),x),a(a(N,y),f(a(a(B,a(a(N,N),x)),a(N,y)))))),    a(a(a(N,N),x),a(a(N,y),f(a(a(B,a(a(N,N),x)),a(N,y)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(B,y))),a(a(a(y,a(f(a(a(B,a(a(N,N),x)),a(B,y))),a(a(B,y),f(a(a(B,a(a(N,N),x)),a(B,y)))))),x),a(a(B,y),f(a(a(B,a(a(N,N),x)),a(B,y)))))),    a(a(a(N,N),x),a(a(B,y),f(a(a(B,a(a(N,N),x)),a(B,y)))))).
eq(a(f(a(a(B,a(a(N,N),x)),N)),a(a(a(a(f(a(a(B,a(a(N,N),x)),N)),x),a(N,f(a(a(B,a(a(N,N),x)),N)))),x),a(N,f(a(a(B,a(a(N,N),x)),N))))),    a(a(a(N,N),x),a(N,f(a(a(B,a(a(N,N),x)),N))))).
eq(a(f(a(a(B,a(a(N,N),x)),B)),a(a(f(a(a(B,a(a(N,N),x)),B)),a(a(B,f(a(a(B,a(a(N,N),x)),B))),x)),a(B,f(a(a(B,a(a(N,N),x)),B))))),    a(a(a(N,N),x),a(B,f(a(a(B,a(a(N,N),x)),B))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(N,y),z))),a(a(a(a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z))))),x),a(a(a(y,f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))),    a(a(a(N,N),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(N,y),z))),a(a(a(a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))),    a(a(a(N,N),x),a(a(a(y,f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,N),x)),y)),a(a(a(a(y,f(a(a(B,a(a(N,N),x)),y))),a(y,f(a(a(B,a(a(N,N),x)),y)))),x),a(y,f(a(a(B,a(a(N,N),x)),y))))),    a(a(a(N,a(y,f(a(a(B,a(a(N,N),x)),y)))),x),a(y,f(a(a(B,a(a(N,N),x)),y))))).
eq(a(f(a(a(B,a(a(N,N),x)),B)),a(a(f(a(a(B,a(a(N,N),x)),B)),a(a(B,f(a(a(B,a(a(N,N),x)),B))),x)),a(B,f(a(a(B,a(a(N,N),x)),B))))),    a(a(a(N,a(B,f(a(a(B,a(a(N,N),x)),B)))),x),a(B,f(a(a(B,a(a(N,N),x)),B))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(B,z),u))),a(a(a(x,a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u)))))),y),a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u))))))),    a(a(a(x,a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u)))))),y),a(z,a(u,f(a(a(B,a(a(N,x),y)),a(a(B,z),u))))))).
eq(a(f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)),a(a(a(a(a(x,a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),y),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u))))),    a(a(a(a(a(N,x),y),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(a(B,x),y)),z)),u)),a(a(a(x,a(y,a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))),z),a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))),    a(a(a(x,a(y,a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))),z),a(u,f(a(a(B,a(a(N,a(a(B,x),y)),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),z)),a(a(a(a(x,y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z))))),    a(a(a(a(N,x),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)),a(a(a(a(a(N,x),y),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u))))),    a(a(a(a(a(x,a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),y),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(a(N,x),y)),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),z)),a(a(a(a(N,x),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z))))),    a(a(a(a(x,y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,x)),y)),z))))).
eq(a(f(a(a(B,a(a(N,x),y)),a(a(N,z),u))),a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))),    a(a(a(x,a(a(a(N,z),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,x),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,N),x)),y)),a(a(a(N,a(y,f(a(a(B,a(a(N,N),x)),y)))),x),a(y,f(a(a(B,a(a(N,N),x)),y))))),    a(a(a(a(y,f(a(a(B,a(a(N,N),x)),y))),a(y,f(a(a(B,a(a(N,N),x)),y)))),x),a(y,f(a(a(B,a(a(N,N),x)),y))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(N,y),z))),a(a(a(N,N),x),a(a(a(y,f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))),    a(a(a(a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(B,y),z))),a(a(a(N,N),x),a(y,a(z,f(a(a(B,a(a(N,N),x)),a(a(B,y),z))))))),    a(a(a(a(y,a(z,f(a(a(B,a(a(N,N),x)),a(a(B,y),z))))),a(y,a(z,f(a(a(B,a(a(N,N),x)),a(a(B,y),z)))))),x),a(y,a(z,f(a(a(B,a(a(N,N),x)),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(N,y),z))),a(a(a(N,N),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))),    a(a(a(a(a(a(y,f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(N,y),z))),a(a(a(N,N),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))),    a(a(a(a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),a(a(a(y,f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(N,y))),a(a(a(N,N),x),a(a(N,y),f(a(a(B,a(a(N,N),x)),a(N,y)))))),    a(a(a(a(a(y,a(a(N,y),f(a(a(B,a(a(N,N),x)),a(N,y))))),f(a(a(B,a(a(N,N),x)),a(N,y)))),a(a(N,y),f(a(a(B,a(a(N,N),x)),a(N,y))))),x),a(a(N,y),f(a(a(B,a(a(N,N),x)),a(N,y)))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(B,y))),a(a(a(N,N),x),a(a(B,y),f(a(a(B,a(a(N,N),x)),a(B,y)))))),    a(a(a(y,a(f(a(a(B,a(a(N,N),x)),a(B,y))),a(a(B,y),f(a(a(B,a(a(N,N),x)),a(B,y)))))),x),a(a(B,y),f(a(a(B,a(a(N,N),x)),a(B,y)))))).
eq(a(f(a(a(B,a(a(N,N),x)),N)),a(a(a(N,N),x),a(N,f(a(a(B,a(a(N,N),x)),N))))),    a(a(a(a(f(a(a(B,a(a(N,N),x)),N)),x),a(N,f(a(a(B,a(a(N,N),x)),N)))),x),a(N,f(a(a(B,a(a(N,N),x)),N))))).
eq(a(f(a(a(B,a(a(N,N),x)),B)),a(a(a(N,N),x),a(B,f(a(a(B,a(a(N,N),x)),B))))),    a(a(f(a(a(B,a(a(N,N),x)),B)),a(a(B,f(a(a(B,a(a(N,N),x)),B))),x)),a(B,f(a(a(B,a(a(N,N),x)),B))))).
eq(a(f(a(a(B,a(a(N,N),x)),a(a(N,y),z))),a(a(a(N,N),x),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))),    a(a(a(a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),a(a(a(N,y),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z))))),x),a(a(a(y,f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,N),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,N),x)),B)),a(a(a(N,a(B,f(a(a(B,a(a(N,N),x)),B)))),x),a(B,f(a(a(B,a(a(N,N),x)),B))))),    a(a(f(a(a(B,a(a(N,N),x)),B)),a(a(B,f(a(a(B,a(a(N,N),x)),B))),x)),a(B,f(a(a(B,a(a(N,N),x)),B))))).
eq(a(f(a(a(B,a(a(N,N),x)),N)),a(a(a(a(f(a(a(B,a(a(N,N),x)),N)),x),a(N,f(a(a(B,a(a(N,N),x)),N)))),x),a(N,f(a(a(B,a(a(N,N),x)),N))))),    a(a(a(N,a(N,f(a(a(B,a(a(N,N),x)),N)))),x),a(N,f(a(a(B,a(a(N,N),x)),N))))).
eq(a(f(a(a(B,a(a(N,N),x)),N)),a(a(a(N,a(N,f(a(a(B,a(a(N,N),x)),N)))),x),a(N,f(a(a(B,a(a(N,N),x)),N))))),    a(a(a(a(f(a(a(B,a(a(N,N),x)),N)),x),a(N,f(a(a(B,a(a(N,N),x)),N)))),x),a(N,f(a(a(B,a(a(N,N),x)),N))))).
eq(a(f(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u)),a(a(a(a(x,a(a(a(y,u),z),u)),f(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u))),u),f(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u)))),    a(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u),f(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u)))).
eq(a(f(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u)),a(a(a(a(x,a(y,a(z,u))),f(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u))),u),f(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u)))),    a(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u),f(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u)))).
eq(a(f(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u)),a(a(a(a(a(a(x,a(z,u)),y),a(z,u)),f(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u))),u),f(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u)))),    a(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u),f(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u)))).
eq(a(f(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u)),a(a(a(a(x,a(y,a(z,u))),f(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u))),u),f(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u)))),    a(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u),f(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u)))).
eq(a(f(a(a(N,a(N,a(a(B,a(N,x)),y))),z)),a(a(a(a(a(x,f(a(a(N,a(N,a(a(B,a(N,x)),y))),z))),a(y,z)),f(a(a(N,a(N,a(a(B,a(N,x)),y))),z))),z),f(a(a(N,a(N,a(a(B,a(N,x)),y))),z)))),    a(a(a(N,a(N,a(a(B,a(N,x)),y))),z),f(a(a(N,a(N,a(a(B,a(N,x)),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,a(B,x)),y))),z)),a(a(a(x,a(a(y,z),f(a(a(N,a(N,a(a(B,a(B,x)),y))),z)))),z),f(a(a(N,a(N,a(a(B,a(B,x)),y))),z)))),    a(a(a(N,a(N,a(a(B,a(B,x)),y))),z),f(a(a(N,a(N,a(a(B,a(B,x)),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,N),x))),y)),a(a(a(a(a(x,y),y),f(a(a(N,a(N,a(a(B,N),x))),y))),y),f(a(a(N,a(N,a(a(B,N),x))),y)))),    a(a(a(N,a(N,a(a(B,N),x))),y),f(a(a(N,a(N,a(a(B,N),x))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),x))),y)),a(a(a(x,y),a(f(a(a(N,a(N,a(a(B,B),x))),y)),y)),f(a(a(N,a(N,a(a(B,B),x))),y)))),    a(a(a(N,a(N,a(a(B,B),x))),y),f(a(a(N,a(N,a(a(B,B),x))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z)),a(a(a(a(a(x,z),y),z),a(f(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z)),z)),f(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z)))),    a(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z),f(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z)),a(a(a(x,a(y,z)),a(f(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z)),z)),f(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z)))),    a(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z),f(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)),a(a(a(a(x,a(f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)),y)),y),a(f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)),y)),f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)))),    a(a(a(N,a(N,a(a(B,B),a(N,x)))),y),f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),a(B,x)))),y)),a(a(x,a(y,a(f(a(a(N,a(N,a(a(B,B),a(B,x)))),y)),y))),f(a(a(N,a(N,a(a(B,B),a(B,x)))),y)))),    a(a(a(N,a(N,a(a(B,B),a(B,x)))),y),f(a(a(N,a(N,a(a(B,B),a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),N))),x)),a(a(a(x,f(a(a(N,a(N,a(a(B,B),N))),x))),a(f(a(a(N,a(N,a(a(B,B),N))),x)),x)),f(a(a(N,a(N,a(a(B,B),N))),x)))),    a(a(a(N,a(N,a(a(B,B),N))),x),f(a(a(N,a(N,a(a(B,B),N))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,B),B))),x)),a(x,a(a(f(a(a(N,a(N,a(a(B,B),B))),x)),x),f(a(a(N,a(N,a(a(B,B),B))),x))))),    a(a(a(N,a(N,a(a(B,B),B))),x),f(a(a(N,a(N,a(a(B,B),B))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,B),x))),y)),a(a(a(x,y),a(f(a(a(N,a(N,a(a(B,B),x))),y)),y)),f(a(a(N,a(N,a(a(B,B),x))),y)))),    a(a(a(a(N,a(a(B,B),x)),f(a(a(N,a(N,a(a(B,B),x))),y))),y),f(a(a(N,a(N,a(a(B,B),x))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))),a(a(a(x,a(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))))),y),a(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y)))))),    a(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y))),a(x,a(y,a(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y))),a(a(B,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y))))))),    a(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(a(B,B),B))),x)),a(x,a(a(f(a(a(N,a(N,a(a(B,B),B))),x)),x),f(a(a(N,a(N,a(a(B,B),B))),x))))),    a(a(a(a(N,a(a(B,B),B)),f(a(a(N,a(N,a(a(B,B),B))),x))),x),f(a(a(N,a(N,a(a(B,B),B))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u)),a(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u),f(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u)))),    a(a(a(a(x,a(a(a(y,u),z),u)),f(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u))),u),f(a(a(N,a(N,a(a(B,x),a(a(N,y),z)))),u)))).
eq(a(f(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u)),a(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u),f(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u)))),    a(a(a(a(x,a(y,a(z,u))),f(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u))),u),f(a(a(N,a(N,a(a(B,x),a(a(B,y),z)))),u)))).
eq(a(f(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u)),a(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u),f(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u)))),    a(a(a(a(a(a(x,a(z,u)),y),a(z,u)),f(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u))),u),f(a(a(N,a(N,a(a(B,a(a(N,x),y)),z))),u)))).
eq(a(f(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u)),a(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u),f(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u)))),    a(a(a(a(x,a(y,a(z,u))),f(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u))),u),f(a(a(N,a(N,a(a(B,a(a(B,x),y)),z))),u)))).
eq(a(f(a(a(N,a(N,a(a(B,a(N,x)),y))),z)),a(a(a(N,a(N,a(a(B,a(N,x)),y))),z),f(a(a(N,a(N,a(a(B,a(N,x)),y))),z)))),    a(a(a(a(a(x,f(a(a(N,a(N,a(a(B,a(N,x)),y))),z))),a(y,z)),f(a(a(N,a(N,a(a(B,a(N,x)),y))),z))),z),f(a(a(N,a(N,a(a(B,a(N,x)),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,a(B,x)),y))),z)),a(a(a(N,a(N,a(a(B,a(B,x)),y))),z),f(a(a(N,a(N,a(a(B,a(B,x)),y))),z)))),    a(a(a(x,a(a(y,z),f(a(a(N,a(N,a(a(B,a(B,x)),y))),z)))),z),f(a(a(N,a(N,a(a(B,a(B,x)),y))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,N),x))),y)),a(a(a(N,a(N,a(a(B,N),x))),y),f(a(a(N,a(N,a(a(B,N),x))),y)))),    a(a(a(a(a(x,y),y),f(a(a(N,a(N,a(a(B,N),x))),y))),y),f(a(a(N,a(N,a(a(B,N),x))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),x))),y)),a(a(a(N,a(N,a(a(B,B),x))),y),f(a(a(N,a(N,a(a(B,B),x))),y)))),    a(a(a(x,y),a(f(a(a(N,a(N,a(a(B,B),x))),y)),y)),f(a(a(N,a(N,a(a(B,B),x))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),x))),y)),a(a(a(a(N,a(a(B,B),x)),f(a(a(N,a(N,a(a(B,B),x))),y))),y),f(a(a(N,a(N,a(a(B,B),x))),y)))),    a(a(a(x,y),a(f(a(a(N,a(N,a(a(B,B),x))),y)),y)),f(a(a(N,a(N,a(a(B,B),x))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z)),a(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z),f(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z)))),    a(a(a(a(a(x,z),y),z),a(f(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z)),z)),f(a(a(N,a(N,a(a(B,B),a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z)),a(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z),f(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z)))),    a(a(a(x,a(y,z)),a(f(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z)),z)),f(a(a(N,a(N,a(a(B,B),a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)),a(a(a(N,a(N,a(a(B,B),a(N,x)))),y),f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)))),    a(a(a(a(x,a(f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)),y)),y),a(f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)),y)),f(a(a(N,a(N,a(a(B,B),a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),a(B,x)))),y)),a(a(a(N,a(N,a(a(B,B),a(B,x)))),y),f(a(a(N,a(N,a(a(B,B),a(B,x)))),y)))),    a(a(x,a(y,a(f(a(a(N,a(N,a(a(B,B),a(B,x)))),y)),y))),f(a(a(N,a(N,a(a(B,B),a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,B),N))),x)),a(a(a(N,a(N,a(a(B,B),N))),x),f(a(a(N,a(N,a(a(B,B),N))),x)))),    a(a(a(x,f(a(a(N,a(N,a(a(B,B),N))),x))),a(f(a(a(N,a(N,a(a(B,B),N))),x)),x)),f(a(a(N,a(N,a(a(B,B),N))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,B),B))),x)),a(a(a(N,a(N,a(a(B,B),B))),x),f(a(a(N,a(N,a(a(B,B),B))),x)))),    a(x,a(a(f(a(a(N,a(N,a(a(B,B),B))),x)),x),f(a(a(N,a(N,a(a(B,B),B))),x))))).
eq(a(f(a(a(N,a(N,a(a(B,B),B))),x)),a(a(a(a(N,a(a(B,B),B)),f(a(a(N,a(N,a(a(B,B),B))),x))),x),f(a(a(N,a(N,a(a(B,B),B))),x)))),    a(x,a(a(f(a(a(N,a(N,a(a(B,B),B))),x)),x),f(a(a(N,a(N,a(a(B,B),B))),x))))).
eq(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))),a(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))))),    a(a(a(x,a(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))))),y),a(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y))),a(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y))))),    a(x,a(y,a(a(f(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y))),a(a(B,x),y)),f(a(a(N,a(N,a(a(B,B),B))),a(a(B,x),y))))))).
eq(a(f(a(a(B,a(a(N,a(N,a(a(N,x),y))),z)),u)),a(a(a(a(a(a(x,z),y),z),a(u,f(a(a(B,a(a(N,a(N,a(a(N,x),y))),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(N,a(a(N,x),y))),z)),u))))),    a(a(a(N,a(N,a(a(N,x),y))),z),a(u,f(a(a(B,a(a(N,a(N,a(a(N,x),y))),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(N,a(a(B,x),y))),z)),u)),a(a(a(a(x,a(y,z)),a(u,f(a(a(B,a(a(N,a(N,a(a(B,x),y))),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(N,a(a(B,x),y))),z)),u))))),    a(a(a(N,a(N,a(a(B,x),y))),z),a(u,f(a(a(B,a(a(N,a(N,a(a(B,x),y))),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))),a(a(a(a(x,y),a(a(a(z,f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))),    a(a(a(N,a(N,x)),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),a(a(B,z),u))),a(a(a(a(x,y),a(z,a(u,f(a(a(B,a(a(N,a(N,x)),y)),a(a(B,z),u)))))),y),a(z,a(u,f(a(a(B,a(a(N,a(N,x)),y)),a(a(B,z),u))))))),    a(a(a(N,a(N,x)),y),a(z,a(u,f(a(a(B,a(a(N,a(N,x)),y)),a(a(B,z),u))))))).
eq(a(f(a(a(B,a(a(N,a(N,a(N,x))),y)),z)),a(a(a(a(a(x,a(z,f(a(a(B,a(a(N,a(N,a(N,x))),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,a(N,x))),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,a(N,x))),y)),z))))),    a(a(a(N,a(N,a(N,x))),y),a(z,f(a(a(B,a(a(N,a(N,a(N,x))),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(N,a(B,x))),y)),z)),a(a(a(x,a(y,a(z,f(a(a(B,a(a(N,a(N,a(B,x))),y)),z))))),y),a(z,f(a(a(B,a(a(N,a(N,a(B,x))),y)),z))))),    a(a(a(N,a(N,a(B,x))),y),a(z,f(a(a(B,a(a(N,a(N,a(B,x))),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),y)),a(a(a(a(x,x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y)))),x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y))))),    a(a(a(N,a(N,N)),x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),y)),a(a(x,a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))),x)),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))))),    a(a(a(N,a(N,B)),x),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))),a(a(a(a(x,y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))),    a(a(a(N,a(N,x)),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))),a(a(a(a(x,y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))),    a(a(a(N,a(N,x)),y),a(a(a(z,f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z))),a(a(x,a(a(a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),x)),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))),    a(a(a(N,a(N,B)),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(a(B,y),z))),a(a(x,a(a(y,a(z,f(a(a(B,a(a(N,a(N,B)),x)),a(a(B,y),z))))),x)),a(y,a(z,f(a(a(B,a(a(N,a(N,B)),x)),a(a(B,y),z))))))),    a(a(a(N,a(N,B)),x),a(y,a(z,f(a(a(B,a(a(N,a(N,B)),x)),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(N,y))),a(a(x,a(a(a(y,x),f(a(a(B,a(a(N,a(N,B)),x)),a(N,y)))),x)),a(a(N,y),f(a(a(B,a(a(N,a(N,B)),x)),a(N,y)))))),    a(a(a(N,a(N,B)),x),a(a(N,y),f(a(a(B,a(a(N,a(N,B)),x)),a(N,y)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(B,y))),a(a(x,a(y,a(f(a(a(B,a(a(N,a(N,B)),x)),a(B,y))),x))),a(a(B,y),f(a(a(B,a(a(N,a(N,B)),x)),a(B,y)))))),    a(a(a(N,a(N,B)),x),a(a(B,y),f(a(a(B,a(a(N,a(N,B)),x)),a(B,y)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z)),a(a(a(a(x,a(a(z,f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z))),a(a(N,x),y))),y),a(a(z,f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z))),a(a(N,x),y))),a(z,f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z))))),    a(a(a(N,a(N,B)),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),a(a(B,x),y))),z)),a(a(x,a(y,a(a(z,f(a(a(B,a(a(N,a(N,B)),a(a(B,x),y))),z))),a(a(B,x),y)))),a(z,f(a(a(B,a(a(N,a(N,B)),a(a(B,x),y))),z))))),    a(a(a(N,a(N,B)),a(a(B,x),y)),a(z,f(a(a(B,a(a(N,a(N,B)),a(a(B,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z))),a(a(x,a(a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),x)),a(a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))),    a(a(a(N,a(N,B)),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),a(N,x))),y)),a(a(a(x,a(y,f(a(a(B,a(a(N,a(N,B)),a(N,x))),y)))),a(a(y,f(a(a(B,a(a(N,a(N,B)),a(N,x))),y))),a(N,x))),a(y,f(a(a(B,a(a(N,a(N,B)),a(N,x))),y))))),    a(a(a(N,a(N,B)),a(N,x)),a(y,f(a(a(B,a(a(N,a(N,B)),a(N,x))),y))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),a(B,x))),y)),a(x,a(a(a(y,f(a(a(B,a(a(N,a(N,B)),a(B,x))),y))),a(B,x)),a(y,f(a(a(B,a(a(N,a(N,B)),a(B,x))),y)))))),    a(a(a(N,a(N,B)),a(B,x)),a(y,f(a(a(B,a(a(N,a(N,B)),a(B,x))),y))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z))),a(a(x,a(a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),x)),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))),    a(a(a(N,a(N,B)),x),a(a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),y)),a(a(x,a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))),x)),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))))),    a(a(a(a(N,B),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y)))),x),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))),a(a(a(N,a(N,x)),y),a(a(a(z,f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))),    a(a(a(a(x,y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),a(a(B,z),u))),a(a(a(N,a(N,x)),y),a(z,a(u,f(a(a(B,a(a(N,a(N,x)),y)),a(a(B,z),u))))))),    a(a(a(a(x,y),a(z,a(u,f(a(a(B,a(a(N,a(N,x)),y)),a(a(B,z),u)))))),y),a(z,a(u,f(a(a(B,a(a(N,a(N,x)),y)),a(a(B,z),u))))))).
eq(a(f(a(a(B,a(a(N,a(N,a(a(N,x),y))),z)),u)),a(a(a(N,a(N,a(a(N,x),y))),z),a(u,f(a(a(B,a(a(N,a(N,a(a(N,x),y))),z)),u))))),    a(a(a(a(a(a(x,z),y),z),a(u,f(a(a(B,a(a(N,a(N,a(a(N,x),y))),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(N,a(a(N,x),y))),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(N,a(a(B,x),y))),z)),u)),a(a(a(N,a(N,a(a(B,x),y))),z),a(u,f(a(a(B,a(a(N,a(N,a(a(B,x),y))),z)),u))))),    a(a(a(a(x,a(y,z)),a(u,f(a(a(B,a(a(N,a(N,a(a(B,x),y))),z)),u)))),z),a(u,f(a(a(B,a(a(N,a(N,a(a(B,x),y))),z)),u))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))),a(a(a(N,a(N,x)),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))),    a(a(a(a(x,y),a(a(a(z,f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))))),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(N,a(N,x))),y)),z)),a(a(a(N,a(N,a(N,x))),y),a(z,f(a(a(B,a(a(N,a(N,a(N,x))),y)),z))))),    a(a(a(a(a(x,a(z,f(a(a(B,a(a(N,a(N,a(N,x))),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,a(N,x))),y)),z)))),y),a(z,f(a(a(B,a(a(N,a(N,a(N,x))),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(N,a(B,x))),y)),z)),a(a(a(N,a(N,a(B,x))),y),a(z,f(a(a(B,a(a(N,a(N,a(B,x))),y)),z))))),    a(a(a(x,a(y,a(z,f(a(a(B,a(a(N,a(N,a(B,x))),y)),z))))),y),a(z,f(a(a(B,a(a(N,a(N,a(B,x))),y)),z))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),y)),a(a(a(N,a(N,N)),x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y))))),    a(a(a(a(x,x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y)))),x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),y)),a(a(a(N,a(N,B)),x),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))))),    a(a(x,a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))),x)),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))))).
eq(a(f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))),a(a(a(N,a(N,x)),y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))),    a(a(a(a(x,y),a(a(a(N,z),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u))))),y),a(a(a(z,f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))),u),f(a(a(B,a(a(N,a(N,x)),y)),a(a(N,z),u)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z))),a(a(a(N,a(N,B)),x),a(a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))),    a(a(x,a(a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),x)),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(a(B,y),z))),a(a(a(N,a(N,B)),x),a(y,a(z,f(a(a(B,a(a(N,a(N,B)),x)),a(a(B,y),z))))))),    a(a(x,a(a(y,a(z,f(a(a(B,a(a(N,a(N,B)),x)),a(a(B,y),z))))),x)),a(y,a(z,f(a(a(B,a(a(N,a(N,B)),x)),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),y)),a(a(a(a(N,B),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y)))),x),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))))),    a(a(x,a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))),x)),a(y,f(a(a(B,a(a(N,a(N,B)),x)),y))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z))),a(a(a(N,a(N,B)),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))),    a(a(x,a(a(a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),x)),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(N,y))),a(a(a(N,a(N,B)),x),a(a(N,y),f(a(a(B,a(a(N,a(N,B)),x)),a(N,y)))))),    a(a(x,a(a(a(y,x),f(a(a(B,a(a(N,a(N,B)),x)),a(N,y)))),x)),a(a(N,y),f(a(a(B,a(a(N,a(N,B)),x)),a(N,y)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(B,y))),a(a(a(N,a(N,B)),x),a(a(B,y),f(a(a(B,a(a(N,a(N,B)),x)),a(B,y)))))),    a(a(x,a(y,a(f(a(a(B,a(a(N,a(N,B)),x)),a(B,y))),x))),a(a(B,y),f(a(a(B,a(a(N,a(N,B)),x)),a(B,y)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z)),a(a(a(N,a(N,B)),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z))))),    a(a(a(a(x,a(a(z,f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z))),a(a(N,x),y))),y),a(a(z,f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z))),a(a(N,x),y))),a(z,f(a(a(B,a(a(N,a(N,B)),a(a(N,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),a(a(B,x),y))),z)),a(a(a(N,a(N,B)),a(a(B,x),y)),a(z,f(a(a(B,a(a(N,a(N,B)),a(a(B,x),y))),z))))),    a(a(x,a(y,a(a(z,f(a(a(B,a(a(N,a(N,B)),a(a(B,x),y))),z))),a(a(B,x),y)))),a(z,f(a(a(B,a(a(N,a(N,B)),a(a(B,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z))),a(a(a(N,a(N,B)),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))),    a(a(x,a(a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),x)),a(a(a(y,f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,B)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),a(N,x))),y)),a(a(a(N,a(N,B)),a(N,x)),a(y,f(a(a(B,a(a(N,a(N,B)),a(N,x))),y))))),    a(a(a(x,a(y,f(a(a(B,a(a(N,a(N,B)),a(N,x))),y)))),a(a(y,f(a(a(B,a(a(N,a(N,B)),a(N,x))),y))),a(N,x))),a(y,f(a(a(B,a(a(N,a(N,B)),a(N,x))),y))))).
eq(a(f(a(a(B,a(a(N,a(N,B)),a(B,x))),y)),a(a(a(N,a(N,B)),a(B,x)),a(y,f(a(a(B,a(a(N,a(N,B)),a(B,x))),y))))),    a(x,a(a(a(y,f(a(a(B,a(a(N,a(N,B)),a(B,x))),y))),a(B,x)),a(y,f(a(a(B,a(a(N,a(N,B)),a(B,x))),y)))))).
eq(a(f(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u)),a(a(a(a(a(a(x,u),y),u),a(z,f(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u)))),u),f(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u)))),    a(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u),f(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u)),a(a(a(a(x,a(y,u)),a(z,f(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u)))),u),f(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u)))),    a(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u),f(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u)),a(a(a(a(x,u),a(a(a(y,f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u))),z),f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u)))),u),f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u)))),    a(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u),f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u)),a(a(a(a(x,u),a(y,a(z,f(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u))))),u),f(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u)))),    a(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u),f(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)),a(a(a(a(a(x,a(y,f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)))),z),a(y,f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)))),z),f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)))),    a(a(a(N,a(a(B,a(N,a(N,x))),y)),z),f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(N,a(B,x))),y)),z)),a(a(a(x,a(z,a(y,f(a(a(N,a(a(B,a(N,a(B,x))),y)),z))))),z),f(a(a(N,a(a(B,a(N,a(B,x))),y)),z)))),    a(a(a(N,a(a(B,a(N,a(B,x))),y)),z),f(a(a(N,a(a(B,a(N,a(B,x))),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),y)),a(a(a(a(y,y),a(x,f(a(a(N,a(a(B,a(N,N)),x)),y)))),y),f(a(a(N,a(a(B,a(N,N)),x)),y)))),    a(a(a(N,a(a(B,a(N,N)),x)),y),f(a(a(N,a(a(B,a(N,N)),x)),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),y)),a(a(y,a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),y))),y)),f(a(a(N,a(a(B,a(N,B)),x)),y)))),    a(a(a(N,a(a(B,a(N,B)),x)),y),f(a(a(N,a(a(B,a(N,B)),x)),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z)),a(a(z,a(a(a(a(x,f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z))),z)),f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z)))),    a(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z),f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z)),a(a(z,a(a(x,a(y,f(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z)))),z)),f(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z)))),    a(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z),f(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),a(N,x))),y)),a(a(y,a(a(a(x,y),f(a(a(N,a(a(B,a(N,B)),a(N,x))),y))),y)),f(a(a(N,a(a(B,a(N,B)),a(N,x))),y)))),    a(a(a(N,a(a(B,a(N,B)),a(N,x))),y),f(a(a(N,a(a(B,a(N,B)),a(N,x))),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),a(B,x))),y)),a(a(y,a(x,a(f(a(a(N,a(a(B,a(N,B)),a(B,x))),y)),y))),f(a(a(N,a(a(B,a(N,B)),a(B,x))),y)))),    a(a(a(N,a(a(B,a(N,B)),a(B,x))),y),f(a(a(N,a(a(B,a(N,B)),a(B,x))),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z))),a(a(a(a(y,a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z)))),a(a(N,y),z))),z),a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z)))),a(a(N,y),z))),f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z))))),    a(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z)),f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z))))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z))),a(a(y,a(z,a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z)))),a(a(B,y),z)))),f(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z))))),    a(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z)),f(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z))))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),a(N,y))),a(a(a(y,f(a(a(N,a(a(B,a(N,B)),x)),a(N,y)))),a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(N,y)))),a(N,y))),f(a(a(N,a(a(B,a(N,B)),x)),a(N,y))))),    a(a(a(N,a(a(B,a(N,B)),x)),a(N,y)),f(a(a(N,a(a(B,a(N,B)),x)),a(N,y))))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),a(B,y))),a(y,a(a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(B,y)))),a(B,y)),f(a(a(N,a(a(B,a(N,B)),x)),a(B,y)))))),    a(a(a(N,a(a(B,a(N,B)),x)),a(B,y)),f(a(a(N,a(a(B,a(N,B)),x)),a(B,y))))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),y)),a(a(y,a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),y))),y)),f(a(a(N,a(a(B,a(N,B)),x)),y)))),    a(a(a(a(N,B),a(x,f(a(a(N,a(a(B,a(N,B)),x)),y)))),y),f(a(a(N,a(a(B,a(N,B)),x)),y)))).
eq(a(f(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u)),a(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u),f(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u)))),    a(a(a(a(a(a(x,u),y),u),a(z,f(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u)))),u),f(a(a(N,a(a(B,a(N,a(a(N,x),y))),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u)),a(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u),f(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u)))),    a(a(a(a(x,a(y,u)),a(z,f(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u)))),u),f(a(a(N,a(a(B,a(N,a(a(B,x),y))),z)),u)))).
eq(a(f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u)),a(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u),f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u)))),    a(a(a(a(x,u),a(a(a(y,f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u))),z),f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u)))),u),f(a(a(N,a(a(B,a(N,x)),a(a(N,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u)),a(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u),f(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u)))),    a(a(a(a(x,u),a(y,a(z,f(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u))))),u),f(a(a(N,a(a(B,a(N,x)),a(a(B,y),z))),u)))).
eq(a(f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)),a(a(a(N,a(a(B,a(N,a(N,x))),y)),z),f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)))),    a(a(a(a(a(x,a(y,f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)))),z),a(y,f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)))),z),f(a(a(N,a(a(B,a(N,a(N,x))),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(N,a(B,x))),y)),z)),a(a(a(N,a(a(B,a(N,a(B,x))),y)),z),f(a(a(N,a(a(B,a(N,a(B,x))),y)),z)))),    a(a(a(x,a(z,a(y,f(a(a(N,a(a(B,a(N,a(B,x))),y)),z))))),z),f(a(a(N,a(a(B,a(N,a(B,x))),y)),z)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),y)),a(a(a(N,a(a(B,a(N,N)),x)),y),f(a(a(N,a(a(B,a(N,N)),x)),y)))),    a(a(a(a(y,y),a(x,f(a(a(N,a(a(B,a(N,N)),x)),y)))),y),f(a(a(N,a(a(B,a(N,N)),x)),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),y)),a(a(a(N,a(a(B,a(N,B)),x)),y),f(a(a(N,a(a(B,a(N,B)),x)),y)))),    a(a(y,a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),y))),y)),f(a(a(N,a(a(B,a(N,B)),x)),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),y)),a(a(a(a(N,B),a(x,f(a(a(N,a(a(B,a(N,B)),x)),y)))),y),f(a(a(N,a(a(B,a(N,B)),x)),y)))),    a(a(y,a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),y))),y)),f(a(a(N,a(a(B,a(N,B)),x)),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z)),a(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z),f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z)))),    a(a(z,a(a(a(a(x,f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z))),z)),f(a(a(N,a(a(B,a(N,B)),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z)),a(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z),f(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z)))),    a(a(z,a(a(x,a(y,f(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z)))),z)),f(a(a(N,a(a(B,a(N,B)),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),a(N,x))),y)),a(a(a(N,a(a(B,a(N,B)),a(N,x))),y),f(a(a(N,a(a(B,a(N,B)),a(N,x))),y)))),    a(a(y,a(a(a(x,y),f(a(a(N,a(a(B,a(N,B)),a(N,x))),y))),y)),f(a(a(N,a(a(B,a(N,B)),a(N,x))),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),a(B,x))),y)),a(a(a(N,a(a(B,a(N,B)),a(B,x))),y),f(a(a(N,a(a(B,a(N,B)),a(B,x))),y)))),    a(a(y,a(x,a(f(a(a(N,a(a(B,a(N,B)),a(B,x))),y)),y))),f(a(a(N,a(a(B,a(N,B)),a(B,x))),y)))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z))),a(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z)),f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z))))),    a(a(a(a(y,a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z)))),a(a(N,y),z))),z),a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z)))),a(a(N,y),z))),f(a(a(N,a(a(B,a(N,B)),x)),a(a(N,y),z))))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z))),a(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z)),f(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z))))),    a(a(y,a(z,a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z)))),a(a(B,y),z)))),f(a(a(N,a(a(B,a(N,B)),x)),a(a(B,y),z))))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),a(N,y))),a(a(a(N,a(a(B,a(N,B)),x)),a(N,y)),f(a(a(N,a(a(B,a(N,B)),x)),a(N,y))))),    a(a(a(y,f(a(a(N,a(a(B,a(N,B)),x)),a(N,y)))),a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(N,y)))),a(N,y))),f(a(a(N,a(a(B,a(N,B)),x)),a(N,y))))).
eq(a(f(a(a(N,a(a(B,a(N,B)),x)),a(B,y))),a(a(a(N,a(a(B,a(N,B)),x)),a(B,y)),f(a(a(N,a(a(B,a(N,B)),x)),a(B,y))))),    a(y,a(a(a(x,f(a(a(N,a(a(B,a(N,B)),x)),a(B,y)))),a(B,y)),f(a(a(N,a(a(B,a(N,B)),x)),a(B,y)))))).
eq(a(f(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z)),a(a(a(a(a(a(x,z),y),z),a(z,f(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z)))),z),f(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z)))),    a(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z),f(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z)),a(a(a(a(x,a(y,z)),a(z,f(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z)))),z),f(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z)))),    a(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z),f(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z))),a(a(a(a(x,a(a(N,y),z)),a(a(a(y,f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z))))),    a(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z)),f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z))),a(a(a(a(x,a(a(B,y),z)),a(y,a(z,f(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z)))))),a(a(B,y),z)),f(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z))))),    a(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z)),f(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)),a(a(a(a(a(x,a(y,f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)))),y),a(y,f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)))),y),f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)))),    a(a(a(N,a(N,a(B,a(N,a(N,x))))),y),f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(N,a(B,x))))),y)),a(a(a(x,a(y,a(y,f(a(a(N,a(N,a(B,a(N,a(B,x))))),y))))),y),f(a(a(N,a(N,a(B,a(N,a(B,x))))),y)))),    a(a(a(N,a(N,a(B,a(N,a(B,x))))),y),f(a(a(N,a(N,a(B,a(N,a(B,x))))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),x)),a(a(a(a(x,x),a(x,f(a(a(N,a(N,a(B,a(N,N)))),x)))),x),f(a(a(N,a(N,a(B,a(N,N)))),x)))),    a(a(a(N,a(N,a(B,a(N,N)))),x),f(a(a(N,a(N,a(B,a(N,N)))),x)))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),x)),a(a(x,a(a(x,f(a(a(N,a(N,a(B,a(N,B)))),x))),x)),f(a(a(N,a(N,a(B,a(N,B)))),x)))),    a(a(a(N,a(N,a(B,a(N,B)))),x),f(a(a(N,a(N,a(B,a(N,B)))),x)))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))),a(a(a(a(N,x),y),a(a(a(a(x,f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)))),a(a(N,x),y))),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))))),    a(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y))),a(a(x,a(y,a(a(x,a(y,f(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y))))),a(a(B,x),y)))),f(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y))))),    a(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y)),f(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))),a(a(a(N,x),a(a(a(x,a(N,x)),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x)))),a(N,x))),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))))),    a(a(a(N,a(N,a(B,a(N,B)))),a(N,x)),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(B,x))),a(x,a(a(x,a(f(a(a(N,a(N,a(B,a(N,B)))),a(B,x))),a(B,x))),f(a(a(N,a(N,a(B,a(N,B)))),a(B,x)))))),    a(a(a(N,a(N,a(B,a(N,B)))),a(B,x)),f(a(a(N,a(N,a(B,a(N,B)))),a(B,x))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))),a(a(a(a(x,a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)))),a(a(N,x),y))),y),a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)))),a(a(N,x),y))),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))))),    a(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))),a(a(a(x,f(a(a(N,a(N,a(B,a(N,B)))),a(N,x)))),a(a(a(N,x),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x)))),a(N,x))),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))))),    a(a(a(N,a(N,a(B,a(N,B)))),a(N,x)),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),x)),a(a(x,a(a(x,f(a(a(N,a(N,a(B,a(N,B)))),x))),x)),f(a(a(N,a(N,a(B,a(N,B)))),x)))),    a(a(a(a(N,a(B,a(N,B))),f(a(a(N,a(N,a(B,a(N,B)))),x))),x),f(a(a(N,a(N,a(B,a(N,B)))),x)))).
eq(a(f(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z)),a(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z),f(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z)))),    a(a(a(a(a(a(x,z),y),z),a(z,f(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z)))),z),f(a(a(N,a(N,a(B,a(N,a(a(N,x),y))))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z)),a(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z),f(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z)))),    a(a(a(a(x,a(y,z)),a(z,f(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z)))),z),f(a(a(N,a(N,a(B,a(N,a(a(B,x),y))))),z)))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z))),a(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z)),f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z))))),    a(a(a(a(x,a(a(N,y),z)),a(a(a(y,f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z)))),z),f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(N,a(B,a(N,x)))),a(a(N,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z))),a(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z)),f(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z))))),    a(a(a(a(x,a(a(B,y),z)),a(y,a(z,f(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z)))))),a(a(B,y),z)),f(a(a(N,a(N,a(B,a(N,x)))),a(a(B,y),z))))).
eq(a(f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)),a(a(a(N,a(N,a(B,a(N,a(N,x))))),y),f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)))),    a(a(a(a(a(x,a(y,f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)))),y),a(y,f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)))),y),f(a(a(N,a(N,a(B,a(N,a(N,x))))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(N,a(B,x))))),y)),a(a(a(N,a(N,a(B,a(N,a(B,x))))),y),f(a(a(N,a(N,a(B,a(N,a(B,x))))),y)))),    a(a(a(x,a(y,a(y,f(a(a(N,a(N,a(B,a(N,a(B,x))))),y))))),y),f(a(a(N,a(N,a(B,a(N,a(B,x))))),y)))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),x)),a(a(a(N,a(N,a(B,a(N,N)))),x),f(a(a(N,a(N,a(B,a(N,N)))),x)))),    a(a(a(a(x,x),a(x,f(a(a(N,a(N,a(B,a(N,N)))),x)))),x),f(a(a(N,a(N,a(B,a(N,N)))),x)))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),x)),a(a(a(N,a(N,a(B,a(N,B)))),x),f(a(a(N,a(N,a(B,a(N,B)))),x)))),    a(a(x,a(a(x,f(a(a(N,a(N,a(B,a(N,B)))),x))),x)),f(a(a(N,a(N,a(B,a(N,B)))),x)))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),x)),a(a(a(a(N,a(B,a(N,B))),f(a(a(N,a(N,a(B,a(N,B)))),x))),x),f(a(a(N,a(N,a(B,a(N,B)))),x)))),    a(a(x,a(a(x,f(a(a(N,a(N,a(B,a(N,B)))),x))),x)),f(a(a(N,a(N,a(B,a(N,B)))),x)))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))),a(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))))),    a(a(a(a(N,x),y),a(a(a(a(x,f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)))),a(a(N,x),y))),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y))),a(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y)),f(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y))))),    a(a(x,a(y,a(a(x,a(y,f(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y))))),a(a(B,x),y)))),f(a(a(N,a(N,a(B,a(N,B)))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))),a(a(a(N,a(N,a(B,a(N,B)))),a(N,x)),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))))),    a(a(a(N,x),a(a(a(x,a(N,x)),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x)))),a(N,x))),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(B,x))),a(a(a(N,a(N,a(B,a(N,B)))),a(B,x)),f(a(a(N,a(N,a(B,a(N,B)))),a(B,x))))),    a(x,a(a(x,a(f(a(a(N,a(N,a(B,a(N,B)))),a(B,x))),a(B,x))),f(a(a(N,a(N,a(B,a(N,B)))),a(B,x)))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))),a(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))))),    a(a(a(a(x,a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)))),a(a(N,x),y))),y),a(a(a(a(N,x),y),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y)))),a(a(N,x),y))),f(a(a(N,a(N,a(B,a(N,B)))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))),a(a(a(N,a(N,a(B,a(N,B)))),a(N,x)),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))))),    a(a(a(x,f(a(a(N,a(N,a(B,a(N,B)))),a(N,x)))),a(a(a(N,x),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x)))),a(N,x))),f(a(a(N,a(N,a(B,a(N,B)))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z)),a(a(a(a(a(a(a(x,z),y),z),z),f(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z))),z),f(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z)))),    a(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z),f(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z)),a(a(a(a(a(x,a(y,z)),z),f(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z))),z),f(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z)))),    a(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z),f(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,N),a(N,x)))),y)),a(a(a(a(a(a(x,y),y),y),f(a(a(N,a(N,a(a(B,N),a(N,x)))),y))),y),f(a(a(N,a(N,a(a(B,N),a(N,x)))),y)))),    a(a(a(N,a(N,a(a(B,N),a(N,x)))),y),f(a(a(N,a(N,a(a(B,N),a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,N),a(B,x)))),y)),a(a(a(a(x,a(y,y)),f(a(a(N,a(N,a(a(B,N),a(B,x)))),y))),y),f(a(a(N,a(N,a(a(B,N),a(B,x)))),y)))),    a(a(a(N,a(N,a(a(B,N),a(B,x)))),y),f(a(a(N,a(N,a(a(B,N),a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,N),N))),x)),a(a(a(a(a(x,f(a(a(N,a(N,a(a(B,N),N))),x))),x),f(a(a(N,a(N,a(a(B,N),N))),x))),x),f(a(a(N,a(N,a(a(B,N),N))),x)))),    a(a(a(N,a(N,a(a(B,N),N))),x),f(a(a(N,a(N,a(a(B,N),N))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),x)),a(a(a(x,a(x,f(a(a(N,a(N,a(a(B,N),B))),x)))),x),f(a(a(N,a(N,a(a(B,N),B))),x)))),    a(a(a(N,a(N,a(a(B,N),B))),x),f(a(a(N,a(N,a(a(B,N),B))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,N),x))),y)),a(a(a(a(a(x,y),y),f(a(a(N,a(N,a(a(B,N),x))),y))),y),f(a(a(N,a(N,a(a(B,N),x))),y)))),    a(a(a(a(N,a(a(B,N),x)),f(a(a(N,a(N,a(a(B,N),x))),y))),y),f(a(a(N,a(N,a(a(B,N),x))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))),a(a(a(a(a(N,x),y),a(a(a(x,f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),    a(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y))),a(a(a(x,a(y,a(x,a(y,f(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y))))))),a(a(B,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y))))),    a(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))),a(a(a(a(a(x,a(a(a(N,x),y),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),y),a(a(a(N,x),y),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),    a(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(N,x))),a(a(a(a(x,a(N,x)),a(a(N,x),f(a(a(N,a(N,a(a(B,N),B))),a(N,x))))),a(N,x)),f(a(a(N,a(N,a(a(B,N),B))),a(N,x))))),    a(a(a(N,a(N,a(a(B,N),B))),a(N,x)),f(a(a(N,a(N,a(a(B,N),B))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(B,x))),a(a(x,a(x,a(f(a(a(N,a(N,a(a(B,N),B))),a(B,x))),a(B,x)))),f(a(a(N,a(N,a(a(B,N),B))),a(B,x))))),    a(a(a(N,a(N,a(a(B,N),B))),a(B,x)),f(a(a(N,a(N,a(a(B,N),B))),a(B,x))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),x)),a(a(a(x,a(x,f(a(a(N,a(N,a(a(B,N),B))),x)))),x),f(a(a(N,a(N,a(a(B,N),B))),x)))),    a(a(a(a(N,a(a(B,N),B)),f(a(a(N,a(N,a(a(B,N),B))),x))),x),f(a(a(N,a(N,a(a(B,N),B))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,N),x))),y)),a(a(a(a(N,a(a(B,N),x)),f(a(a(N,a(N,a(a(B,N),x))),y))),y),f(a(a(N,a(N,a(a(B,N),x))),y)))),    a(a(a(a(a(x,y),y),f(a(a(N,a(N,a(a(B,N),x))),y))),y),f(a(a(N,a(N,a(a(B,N),x))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z)),a(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z),f(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z)))),    a(a(a(a(a(a(a(x,z),y),z),z),f(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z))),z),f(a(a(N,a(N,a(a(B,N),a(a(N,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z)),a(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z),f(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z)))),    a(a(a(a(a(x,a(y,z)),z),f(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z))),z),f(a(a(N,a(N,a(a(B,N),a(a(B,x),y)))),z)))).
eq(a(f(a(a(N,a(N,a(a(B,N),a(N,x)))),y)),a(a(a(N,a(N,a(a(B,N),a(N,x)))),y),f(a(a(N,a(N,a(a(B,N),a(N,x)))),y)))),    a(a(a(a(a(a(x,y),y),y),f(a(a(N,a(N,a(a(B,N),a(N,x)))),y))),y),f(a(a(N,a(N,a(a(B,N),a(N,x)))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,N),a(B,x)))),y)),a(a(a(N,a(N,a(a(B,N),a(B,x)))),y),f(a(a(N,a(N,a(a(B,N),a(B,x)))),y)))),    a(a(a(a(x,a(y,y)),f(a(a(N,a(N,a(a(B,N),a(B,x)))),y))),y),f(a(a(N,a(N,a(a(B,N),a(B,x)))),y)))).
eq(a(f(a(a(N,a(N,a(a(B,N),N))),x)),a(a(a(N,a(N,a(a(B,N),N))),x),f(a(a(N,a(N,a(a(B,N),N))),x)))),    a(a(a(a(a(x,f(a(a(N,a(N,a(a(B,N),N))),x))),x),f(a(a(N,a(N,a(a(B,N),N))),x))),x),f(a(a(N,a(N,a(a(B,N),N))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),x)),a(a(a(N,a(N,a(a(B,N),B))),x),f(a(a(N,a(N,a(a(B,N),B))),x)))),    a(a(a(x,a(x,f(a(a(N,a(N,a(a(B,N),B))),x)))),x),f(a(a(N,a(N,a(a(B,N),B))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),x)),a(a(a(a(N,a(a(B,N),B)),f(a(a(N,a(N,a(a(B,N),B))),x))),x),f(a(a(N,a(N,a(a(B,N),B))),x)))),    a(a(a(x,a(x,f(a(a(N,a(N,a(a(B,N),B))),x)))),x),f(a(a(N,a(N,a(a(B,N),B))),x)))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))),a(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),    a(a(a(a(a(N,x),y),a(a(a(x,f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y))),a(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y))))),    a(a(a(x,a(y,a(x,a(y,f(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y))))))),a(a(B,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))),a(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),    a(a(a(a(a(x,a(a(a(N,x),y),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),y),a(a(a(N,x),y),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(a(B,N),B))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(N,x))),a(a(a(N,a(N,a(a(B,N),B))),a(N,x)),f(a(a(N,a(N,a(a(B,N),B))),a(N,x))))),    a(a(a(a(x,a(N,x)),a(a(N,x),f(a(a(N,a(N,a(a(B,N),B))),a(N,x))))),a(N,x)),f(a(a(N,a(N,a(a(B,N),B))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(a(B,N),B))),a(B,x))),a(a(a(N,a(N,a(a(B,N),B))),a(B,x)),f(a(a(N,a(N,a(a(B,N),B))),a(B,x))))),    a(a(x,a(x,a(f(a(a(N,a(N,a(a(B,N),B))),a(B,x))),a(B,x)))),f(a(a(N,a(N,a(a(B,N),B))),a(B,x))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),a(a(N,x),y))),z)),a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(N,x),y))),z)))),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(N,x),y))),z))))),    a(a(a(N,a(N,N)),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(N,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),a(a(B,x),y))),z)),a(a(a(a(x,a(y,a(a(B,x),y))),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(B,x),y))),z)))),a(a(B,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(B,x),y))),z))))),    a(a(a(N,a(N,N)),a(a(B,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(B,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))),a(a(a(a(x,x),a(a(a(y,f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))),    a(a(a(N,a(N,N)),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),a(a(B,y),z))),a(a(a(a(x,x),a(y,a(z,f(a(a(B,a(a(N,a(N,N)),x)),a(a(B,y),z)))))),x),a(y,a(z,f(a(a(B,a(a(N,a(N,N)),x)),a(a(B,y),z))))))),    a(a(a(N,a(N,N)),x),a(y,a(z,f(a(a(B,a(a(N,a(N,N)),x)),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),a(N,x))),y)),a(a(a(a(a(x,a(y,f(a(a(B,a(a(N,a(N,N)),a(N,x))),y)))),a(N,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(N,x))),y)))),a(N,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(N,x))),y))))),    a(a(a(N,a(N,N)),a(N,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(N,x))),y))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),a(B,x))),y)),a(a(a(x,a(a(B,x),a(y,f(a(a(B,a(a(N,a(N,N)),a(B,x))),y))))),a(B,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(B,x))),y))))),    a(a(a(N,a(N,N)),a(B,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(B,x))),y))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),x)),a(a(B,a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))),B)),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))))),    a(a(a(N,a(N,N)),B),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))),a(a(a(a(x,x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))))),x),a(a(a(y,f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))),    a(a(a(N,a(N,N)),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))),a(a(a(a(x,x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))),    a(a(a(N,a(N,N)),x),a(a(a(y,f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),y)),a(a(a(a(x,x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y)))),x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y))))),    a(a(a(a(N,N),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y)))),x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y))),a(a(B,a(a(a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),B)),a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))),    a(a(a(N,a(N,N)),B),a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(a(B,x),y))),a(a(B,a(a(x,a(y,f(a(a(B,a(a(N,a(N,N)),B)),a(a(B,x),y))))),B)),a(x,a(y,f(a(a(B,a(a(N,a(N,N)),B)),a(a(B,x),y))))))),    a(a(a(N,a(N,N)),B),a(x,a(y,f(a(a(B,a(a(N,a(N,N)),B)),a(a(B,x),y))))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(N,x))),a(a(B,a(a(a(x,B),f(a(a(B,a(a(N,a(N,N)),B)),a(N,x)))),B)),a(a(N,x),f(a(a(B,a(a(N,a(N,N)),B)),a(N,x)))))),    a(a(a(N,a(N,N)),B),a(a(N,x),f(a(a(B,a(a(N,a(N,N)),B)),a(N,x)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(B,x))),a(a(B,a(x,a(f(a(a(B,a(a(N,a(N,N)),B)),a(B,x))),B))),a(a(B,x),f(a(a(B,a(a(N,a(N,N)),B)),a(B,x)))))),    a(a(a(N,a(N,N)),B),a(a(B,x),f(a(a(B,a(a(N,a(N,N)),B)),a(B,x)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y))),a(a(B,a(a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),B)),a(a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))),    a(a(a(N,a(N,N)),B),a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y))),a(a(B,a(a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),B)),a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))),    a(a(a(N,a(N,N)),B),a(a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),x)),a(a(B,a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))),B)),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))))),    a(a(a(a(N,N),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x)))),B),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))),a(a(a(N,a(N,N)),x),a(a(a(y,f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))),    a(a(a(a(x,x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),a(a(B,y),z))),a(a(a(N,a(N,N)),x),a(y,a(z,f(a(a(B,a(a(N,a(N,N)),x)),a(a(B,y),z))))))),    a(a(a(a(x,x),a(y,a(z,f(a(a(B,a(a(N,a(N,N)),x)),a(a(B,y),z)))))),x),a(y,a(z,f(a(a(B,a(a(N,a(N,N)),x)),a(a(B,y),z))))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),y)),a(a(a(a(N,N),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y)))),x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y))))),    a(a(a(a(x,x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y)))),x),a(y,f(a(a(B,a(a(N,a(N,N)),x)),y))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),a(a(N,x),y))),z)),a(a(a(N,a(N,N)),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(N,x),y))),z))))),    a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(N,x),y))),z)))),a(a(N,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(N,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),a(a(B,x),y))),z)),a(a(a(N,a(N,N)),a(a(B,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(B,x),y))),z))))),    a(a(a(a(x,a(y,a(a(B,x),y))),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(B,x),y))),z)))),a(a(B,x),y)),a(z,f(a(a(B,a(a(N,a(N,N)),a(a(B,x),y))),z))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))),a(a(a(N,a(N,N)),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))),    a(a(a(a(x,x),a(a(a(y,f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))))),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),a(N,x))),y)),a(a(a(N,a(N,N)),a(N,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(N,x))),y))))),    a(a(a(a(a(x,a(y,f(a(a(B,a(a(N,a(N,N)),a(N,x))),y)))),a(N,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(N,x))),y)))),a(N,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(N,x))),y))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),a(B,x))),y)),a(a(a(N,a(N,N)),a(B,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(B,x))),y))))),    a(a(a(x,a(a(B,x),a(y,f(a(a(B,a(a(N,a(N,N)),a(B,x))),y))))),a(B,x)),a(y,f(a(a(B,a(a(N,a(N,N)),a(B,x))),y))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),x)),a(a(a(N,a(N,N)),B),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))))),    a(a(B,a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))),B)),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))),a(a(a(N,a(N,N)),x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))),    a(a(a(a(x,x),a(a(a(N,y),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z))))),x),a(a(a(y,f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))),z),f(a(a(B,a(a(N,a(N,N)),x)),a(a(N,y),z)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y))),a(a(a(N,a(N,N)),B),a(a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))),    a(a(B,a(a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),B)),a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(a(B,x),y))),a(a(a(N,a(N,N)),B),a(x,a(y,f(a(a(B,a(a(N,a(N,N)),B)),a(a(B,x),y))))))),    a(a(B,a(a(x,a(y,f(a(a(B,a(a(N,a(N,N)),B)),a(a(B,x),y))))),B)),a(x,a(y,f(a(a(B,a(a(N,a(N,N)),B)),a(a(B,x),y))))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),x)),a(a(a(a(N,N),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x)))),B),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))))),    a(a(B,a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))),B)),a(x,f(a(a(B,a(a(N,a(N,N)),B)),x))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y))),a(a(a(N,a(N,N)),B),a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))),    a(a(B,a(a(a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),B)),a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(N,x))),a(a(a(N,a(N,N)),B),a(a(N,x),f(a(a(B,a(a(N,a(N,N)),B)),a(N,x)))))),    a(a(B,a(a(a(x,B),f(a(a(B,a(a(N,a(N,N)),B)),a(N,x)))),B)),a(a(N,x),f(a(a(B,a(a(N,a(N,N)),B)),a(N,x)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(B,x))),a(a(a(N,a(N,N)),B),a(a(B,x),f(a(a(B,a(a(N,a(N,N)),B)),a(B,x)))))),    a(a(B,a(x,a(f(a(a(B,a(a(N,a(N,N)),B)),a(B,x))),B))),a(a(B,x),f(a(a(B,a(a(N,a(N,N)),B)),a(B,x)))))).
eq(a(f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y))),a(a(a(N,a(N,N)),B),a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))),    a(a(B,a(a(a(a(N,x),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),B)),a(a(a(x,f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))),y),f(a(a(B,a(a(N,a(N,N)),B)),a(a(N,x),y)))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z))),a(a(a(a(a(a(y,a(a(N,y),z)),z),a(a(N,y),z)),a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z))))),    a(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z)),f(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z))),a(a(a(a(y,a(z,a(a(B,y),z))),a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z))))),a(a(B,y),z)),f(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z))))),    a(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z)),f(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z)),a(a(a(a(z,z),a(a(a(x,f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z)))),z),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z)))),    a(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z)),a(a(a(a(z,z),a(x,a(y,f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z))))),z),f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z)))),    a(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z),f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))),a(a(a(a(a(y,a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))))),a(N,y)),a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))))),a(N,y)),f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))))),    a(a(a(N,a(a(B,a(N,N)),x)),a(N,y)),f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),a(B,y))),a(a(a(y,a(a(B,y),a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(B,y)))))),a(B,y)),f(a(a(N,a(a(B,a(N,N)),x)),a(B,y))))),    a(a(a(N,a(a(B,a(N,N)),x)),a(B,y)),f(a(a(N,a(a(B,a(N,N)),x)),a(B,y))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),B)),a(a(B,a(a(x,f(a(a(N,a(a(B,a(N,N)),x)),B))),B)),f(a(a(N,a(a(B,a(N,N)),x)),B)))),    a(a(a(N,a(a(B,a(N,N)),x)),B),f(a(a(N,a(a(B,a(N,N)),x)),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),y)),a(a(a(a(y,y),a(x,f(a(a(N,a(a(B,a(N,N)),x)),y)))),y),f(a(a(N,a(a(B,a(N,N)),x)),y)))),    a(a(a(a(N,N),a(x,f(a(a(N,a(a(B,a(N,N)),x)),y)))),y),f(a(a(N,a(a(B,a(N,N)),x)),y)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B)),a(a(B,a(a(a(a(x,f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B))),y),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B))),B)),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B)))),    a(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B)),a(a(B,a(a(x,a(y,f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B)))),B)),f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B)))),    a(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B),f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(N,x))),B)),a(a(B,a(a(a(x,B),f(a(a(N,a(a(B,a(N,N)),a(N,x))),B))),B)),f(a(a(N,a(a(B,a(N,N)),a(N,x))),B)))),    a(a(a(N,a(a(B,a(N,N)),a(N,x))),B),f(a(a(N,a(a(B,a(N,N)),a(N,x))),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(B,x))),B)),a(a(B,a(x,a(f(a(a(N,a(a(B,a(N,N)),a(B,x))),B)),B))),f(a(a(N,a(a(B,a(N,N)),a(B,x))),B)))),    a(a(a(N,a(a(B,a(N,N)),a(B,x))),B),f(a(a(N,a(a(B,a(N,N)),a(B,x))),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),B)),a(a(B,a(a(x,f(a(a(N,a(a(B,a(N,N)),x)),B))),B)),f(a(a(N,a(a(B,a(N,N)),x)),B)))),    a(a(a(a(N,N),a(x,f(a(a(N,a(a(B,a(N,N)),x)),B)))),B),f(a(a(N,a(a(B,a(N,N)),x)),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),y)),a(a(a(a(N,N),a(x,f(a(a(N,a(a(B,a(N,N)),x)),y)))),y),f(a(a(N,a(a(B,a(N,N)),x)),y)))),    a(a(a(a(y,y),a(x,f(a(a(N,a(a(B,a(N,N)),x)),y)))),y),f(a(a(N,a(a(B,a(N,N)),x)),y)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z))),a(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z)),f(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z))))),    a(a(a(a(a(a(y,a(a(N,y),z)),z),a(a(N,y),z)),a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z))))),a(a(N,y),z)),f(a(a(N,a(a(B,a(N,N)),x)),a(a(N,y),z))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z))),a(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z)),f(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z))))),    a(a(a(a(y,a(z,a(a(B,y),z))),a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z))))),a(a(B,y),z)),f(a(a(N,a(a(B,a(N,N)),x)),a(a(B,y),z))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z)),a(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z)))),    a(a(a(a(z,z),a(a(a(x,f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z))),y),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z)))),z),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z)),a(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z),f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z)))),    a(a(a(a(z,z),a(x,a(y,f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z))))),z),f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),z)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))),a(a(a(N,a(a(B,a(N,N)),x)),a(N,y)),f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))))),    a(a(a(a(a(y,a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))))),a(N,y)),a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))))),a(N,y)),f(a(a(N,a(a(B,a(N,N)),x)),a(N,y))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),a(B,y))),a(a(a(N,a(a(B,a(N,N)),x)),a(B,y)),f(a(a(N,a(a(B,a(N,N)),x)),a(B,y))))),    a(a(a(y,a(a(B,y),a(x,f(a(a(N,a(a(B,a(N,N)),x)),a(B,y)))))),a(B,y)),f(a(a(N,a(a(B,a(N,N)),x)),a(B,y))))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),B)),a(a(a(N,a(a(B,a(N,N)),x)),B),f(a(a(N,a(a(B,a(N,N)),x)),B)))),    a(a(B,a(a(x,f(a(a(N,a(a(B,a(N,N)),x)),B))),B)),f(a(a(N,a(a(B,a(N,N)),x)),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),x)),B)),a(a(a(a(N,N),a(x,f(a(a(N,a(a(B,a(N,N)),x)),B)))),B),f(a(a(N,a(a(B,a(N,N)),x)),B)))),    a(a(B,a(a(x,f(a(a(N,a(a(B,a(N,N)),x)),B))),B)),f(a(a(N,a(a(B,a(N,N)),x)),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B)),a(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B)))),    a(a(B,a(a(a(a(x,f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B))),y),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B))),B)),f(a(a(N,a(a(B,a(N,N)),a(a(N,x),y))),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B)),a(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B),f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B)))),    a(a(B,a(a(x,a(y,f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B)))),B)),f(a(a(N,a(a(B,a(N,N)),a(a(B,x),y))),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(N,x))),B)),a(a(a(N,a(a(B,a(N,N)),a(N,x))),B),f(a(a(N,a(a(B,a(N,N)),a(N,x))),B)))),    a(a(B,a(a(a(x,B),f(a(a(N,a(a(B,a(N,N)),a(N,x))),B))),B)),f(a(a(N,a(a(B,a(N,N)),a(N,x))),B)))).
eq(a(f(a(a(N,a(a(B,a(N,N)),a(B,x))),B)),a(a(a(N,a(a(B,a(N,N)),a(B,x))),B),f(a(a(N,a(a(B,a(N,N)),a(B,x))),B)))),    a(a(B,a(x,a(f(a(a(N,a(a(B,a(N,N)),a(B,x))),B)),B))),f(a(a(N,a(a(B,a(N,N)),a(B,x))),B)))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))),a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),a(a(a(N,x),y),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))),    a(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y))),a(a(a(a(x,a(y,a(a(B,x),y))),a(x,a(y,f(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y)))))),a(a(B,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y))))),    a(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))),a(a(a(a(a(a(N,x),y),a(a(N,x),y)),a(a(a(x,f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))),    a(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))),a(a(a(a(a(x,a(a(N,x),f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))))),a(N,x)),a(a(N,x),f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))))),a(N,x)),f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))))),    a(a(a(N,a(N,a(B,a(N,N)))),a(N,x)),f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(B,x))),a(a(a(x,a(a(B,x),a(a(B,x),f(a(a(N,a(N,a(B,a(N,N)))),a(B,x)))))),a(B,x)),f(a(a(N,a(N,a(B,a(N,N)))),a(B,x))))),    a(a(a(N,a(N,a(B,a(N,N)))),a(B,x)),f(a(a(N,a(N,a(B,a(N,N)))),a(B,x))))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),x)),a(a(a(a(x,x),a(x,f(a(a(N,a(N,a(B,a(N,N)))),x)))),x),f(a(a(N,a(N,a(B,a(N,N)))),x)))),    a(a(a(a(N,a(B,a(N,N))),f(a(a(N,a(N,a(B,a(N,N)))),x))),x),f(a(a(N,a(N,a(B,a(N,N)))),x)))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),x)),a(a(a(a(N,a(B,a(N,N))),f(a(a(N,a(N,a(B,a(N,N)))),x))),x),f(a(a(N,a(N,a(B,a(N,N)))),x)))),    a(a(a(a(x,x),a(x,f(a(a(N,a(N,a(B,a(N,N)))),x)))),x),f(a(a(N,a(N,a(B,a(N,N)))),x)))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))),a(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))),    a(a(a(a(a(a(x,a(a(N,x),y)),y),a(a(N,x),y)),a(a(a(N,x),y),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y))),a(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y))))),    a(a(a(a(x,a(y,a(a(B,x),y))),a(x,a(y,f(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y)))))),a(a(B,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(B,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))),a(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))),    a(a(a(a(a(a(N,x),y),a(a(N,x),y)),a(a(a(x,f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y)))),y),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))),a(a(N,x),y)),f(a(a(N,a(N,a(B,a(N,N)))),a(a(N,x),y))))).
eq(a(f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))),a(a(a(N,a(N,a(B,a(N,N)))),a(N,x)),f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))))),    a(a(a(a(a(x,a(a(N,x),f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))))),a(N,x)),a(a(N,x),f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))))),a(N,x)),f(a(a(N,a(N,a(B,a(N,N)))),a(N,x))))).
