MAYBE Problem: 0(0(x1)) -> 1(2(0(x1))) 2(0(x1)) -> 1(1(1(1(x1)))) 0(1(2(0(1(x1))))) -> 1(1(0(1(1(1(2(1(x1)))))))) 0(2(1(1(1(x1))))) -> 1(1(1(1(1(0(1(1(x1)))))))) 0(2(2(2(0(x1))))) -> 2(2(1(1(1(1(2(1(x1)))))))) 2(0(2(2(0(2(x1)))))) -> 1(2(0(1(0(0(1(x1))))))) 2(0(2(2(0(0(2(2(x1)))))))) -> 1(2(0(2(1(2(0(0(0(x1))))))))) 2(2(1(1(1(0(0(0(x1)))))))) -> 1(2(1(1(0(1(1(2(2(1(x1)))))))))) 0(0(2(0(1(2(0(0(0(x1))))))))) -> 1(2(2(0(1(2(1(0(2(1(x1)))))))))) 0(0(2(2(1(0(2(0(0(x1))))))))) -> 0(2(0(0(2(1(2(0(0(x1))))))))) 1(2(0(0(0(1(2(1(0(x1))))))))) -> 1(0(1(0(2(1(2(1(1(1(1(1(x1)))))))))))) 2(2(0(2(2(0(1(1(0(x1))))))))) -> 1(1(0(1(1(1(2(1(0(0(0(x1))))))))))) 2(0(2(1(2(1(1(0(1(1(x1)))))))))) -> 1(1(1(2(1(1(1(0(1(1(1(x1))))))))))) 0(0(0(1(0(0(1(0(0(0(0(x1))))))))))) -> 0(1(0(1(1(2(1(0(1(1(0(2(2(1(x1)))))))))))))) 0(2(0(2(1(1(0(0(2(2(2(x1))))))))))) -> 2(1(2(0(2(1(2(2(0(1(1(0(1(1(1(x1))))))))))))))) 2(0(2(2(1(1(2(0(2(0(0(0(x1)))))))))))) -> 2(1(1(0(1(1(1(1(0(2(0(0(1(x1))))))))))))) 2(0(1(0(0(1(0(0(0(2(2(0(2(x1))))))))))))) -> 2(1(2(2(1(2(2(2(1(2(1(2(1(1(0(1(1(0(1(1(x1)))))))))))))))))))) 2(2(2(0(1(2(2(2(1(1(1(2(2(x1))))))))))))) -> 1(1(0(1(1(1(2(0(0(2(0(0(1(1(2(x1))))))))))))))) 1(0(1(1(0(0(2(0(0(2(0(0(1(2(0(x1))))))))))))))) -> 1(1(1(0(1(2(0(2(1(0(0(2(2(1(1(1(1(2(1(0(1(2(x1)))))))))))))))))))))) 1(1(2(1(2(2(2(0(0(2(0(0(0(2(2(x1))))))))))))))) -> 1(1(2(0(2(0(0(1(0(2(0(1(2(2(1(1(2(x1))))))))))))))))) 0(0(2(1(2(2(0(2(1(1(0(0(0(0(1(2(x1)))))))))))))))) -> 2(2(1(0(1(1(2(0(2(1(1(2(2(0(2(2(1(x1))))))))))))))))) 0(1(2(1(0(1(0(0(0(2(2(0(2(1(1(0(2(2(x1)))))))))))))))))) -> 1(0(1(1(1(2(1(0(1(1(0(1(1(2(1(2(2(2(0(2(2(1(2(x1))))))))))))))))))))))) 0(1(2(1(0(1(2(2(2(2(1(0(0(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(2(0(1(1(2(1(2(0(2(0(0(2(1(0(1(2(x1)))))))))))))))))) 1(2(2(1(1(1(1(0(0(0(1(0(2(1(1(2(1(0(x1)))))))))))))))))) -> 1(1(2(1(1(2(2(1(1(2(2(2(2(1(2(1(1(1(0(1(x1)))))))))))))))))))) 2(0(0(1(0(0(0(2(1(2(0(2(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(0(1(1(1(0(0(2(2(2(0(2(2(1(2(1(x1))))))))))))))))))) 2(2(1(1(2(2(2(2(0(0(1(2(2(1(0(0(2(2(x1)))))))))))))))))) -> 0(1(0(1(2(2(2(2(1(0(1(0(2(2(2(2(2(1(1(1(x1)))))))))))))))))))) 2(2(0(2(1(0(1(0(2(0(2(1(0(1(2(1(0(2(0(x1))))))))))))))))))) -> 0(1(2(0(1(0(1(1(2(1(1(0(1(2(1(1(2(1(0(0(1(0(2(x1))))))))))))))))))))))) 0(1(1(0(0(1(2(0(1(1(2(1(0(1(0(1(1(2(2(1(x1)))))))))))))))))))) -> 1(1(0(1(0(2(0(1(0(1(1(1(1(1(0(1(1(2(1(1(2(1(1(1(2(0(1(x1))))))))))))))))))))))))))) 0(0(0(2(0(2(0(1(1(1(2(2(0(0(0(2(2(2(0(0(2(x1))))))))))))))))))))) -> 1(0(0(2(1(2(1(1(1(0(2(1(0(0(0(1(2(1(2(0(1(2(2(x1))))))))))))))))))))))) 0(1(1(0(2(2(0(2(2(2(1(0(2(0(2(2(0(2(1(0(0(x1))))))))))))))))))))) -> 1(2(0(0(1(1(2(2(2(2(1(2(2(0(2(2(0(1(1(1(2(2(x1)))))))))))))))))))))) 2(0(0(0(2(2(2(2(2(1(1(0(2(0(2(1(2(2(1(1(2(x1))))))))))))))))))))) -> 1(0(2(1(2(0(1(2(1(1(2(0(2(2(0(1(2(0(1(2(0(0(x1)))))))))))))))))))))) 0(2(1(1(0(1(0(0(1(2(1(0(2(0(2(2(0(1(0(1(1(2(x1)))))))))))))))))))))) -> 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1(0(0(0(0(0(1(1(0(0(0(1(2(0(0(1(0(2(0(1(1(2(2(0(2(x1))))))))))))))))))))))))) 0(1(1(2(2(0(1(2(1(0(2(2(1(2(2(2(1(2(2(0(2(0(0(2(2(0(x1)))))))))))))))))))))))))) -> 2(2(0(2(1(1(1(1(0(1(0(0(1(2(1(0(0(1(2(2(2(0(2(0(1(1(2(1(0(x1))))))))))))))))))))))))))))) 0(1(0(0(0(2(0(2(2(2(2(0(0(2(2(2(0(1(0(1(2(2(1(0(2(0(2(2(x1)))))))))))))))))))))))))))) -> 2(2(2(2(2(1(2(2(0(2(1(2(0(2(1(1(1(1(0(2(2(1(1(1(2(1(0(0(2(0(1(0(2(1(x1)))))))))))))))))))))))))))))))))) 2(2(0(1(0(1(0(2(1(0(2(1(1(1(1(1(1(0(0(1(1(0(0(0(1(0(2(0(x1)))))))))))))))))))))))))))) -> 1(1(0(2(1(2(2(2(2(2(2(1(2(1(1(1(1(0(2(2(1(1(0(1(0(2(1(2(1(x1))))))))))))))))))))))))))))) 2(2(2(0(2(2(0(0(2(1(0(0(2(1(0(2(2(1(0(1(0(2(0(0(0(0(2(2(0(x1))))))))))))))))))))))))))))) -> 1(2(0(1(0(0(1(0(1(1(2(2(0(2(0(1(0(1(1(2(2(2(1(2(1(0(1(0(1(2(0(0(x1)))))))))))))))))))))))))))))))) 0(1(0(2(2(2(0(0(0(2(2(0(1(0(2(2(2(2(1(1(2(0(0(0(2(1(2(2(2(0(x1)))))))))))))))))))))))))))))) -> 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0(1(1(0(2(0(2(2(1(0(1(2(2(0(2(1(2(1(0(0(0(0(0(2(0(0(0(0(0(0(0(0(1(0(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(2(0(1(2(1(0(1(2(2(0(2(2(0(2(1(1(2(0(1(0(0(1(2(0(1(1(0(1(2(1(0(1(0(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 2(0(0(2(2(0(1(2(2(2(2(1(0(2(2(2(2(2(1(0(2(1(2(2(0(0(1(0(2(0(0(1(1(0(1(2(0(1(1(x1))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(1(0(0(1(1(2(1(0(1(1(1(2(0(2(2(1(2(0(0(2(1(2(0(1(0(0(0(1(1(2( 0 ( 0 ( 2 ( 0 ( 1 ( 0 ( 1 ( 1(0(1(2(1(0(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(2(2(0(2(0(2(2(1(1(2(2(2(0(2(0(1(1(1(1(1(1(2(1(2(2(2(2(0(2(2(2(0(2(0(1(0(2(1(2(x1)))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(2(1(1(2(1(0(2(0(2(2(1(1(2(2(0(1(1(1(2(1(1(0(0(0(1(0(2(0(1( 1 ( 1 ( 1 ( 1(0(1(0(2(1(1(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))) 0(0(2(0(2(2(1(0(0(2(0(1(1(0(2(2(2(2(0(2(0(0(2(1(0(0(2(1(0(2(1(0(0(2(1(0(0(0(1(2(1(x1))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(0(1(0(0(0(1(1(0(1(0(2(2(2(1(2(2(0(2(0(0(2(0(1(2(2(1(2(2(1(1(2(0(0(1(1(2(1(1(x1))))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(1(1(1(1(0(0(2(1(1(2(2(0(1(0(2(0(1(1(2(2(2(0(2(1(0(0(2(1(2(2(0(2(0(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(1(0(2(2(1(0(1(1(2(2(1(0(1(1(2(0(0(0(0(1(1(0(1(1(2(0(2(2(0(1( 0 ( 2 ( 1 ( 1(1(2(2(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))) 2(0(0(1(2(2(1(2(2(0(1(1(0(0(2(1(2(1(0(2(1(1(2(1(0(1(0(2(2(0(2(2(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(0(1(2(1(2(2(0(2(0(2(1(2(1(2(1(0(2(1(1(2(2(0(1(1(0(1(1(2(2(0(2(2(2(0(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))) 2(0(2(1(0(2(2(1(0(2(1(1(2(0(2(2(2(2(0(2(2(0(1(1(0(0(0(0(2(2(1(0(1(0(2(1(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(0(0(1(0(0(1(1(1(1(2(0(2(2(1(0(2(0(1(0(0(1(0(0(2(0(2(1(1(2(1( 2 ( 1 ( 1 ( 2 ( 1(2(2(0(0(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))) 0(2(2(0(0(1(0(2(1(0(2(0(1(0(2(1(0(2(1(0(0(0(2(0(0(0(2(1(0(1(1(1(0(0(0(0(0(2(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(1(2(2(0(0(1(1(2(1(0(0(2(2(0(2(1(0(2(1(0(1(1(2(0(0(2(0(0(1(2( 0 ( 0(0(2(0(0(0(2(1(2(x1)))))))))))))))))))))))))))))))))))))))))))) 2(1(0(1(0(0(2(2(0(0(2(1(1(2(2(1(2(0(2(2(2(1(2(2(2(2(0(1(1(1(2(2(2(1(0(1(0(2(0(2(2(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(2(2(2(0(0(2(1(2(1(2(1(2(0(2(2(2(0(1(1(2(2(0(0(1(1(2(0(2(2(0(0(1(2(2(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))) 1(0(1(0(2(2(2(0(0(0(1(1(1(0(0(1(1(2(2(1(1(2(2(1(1(2(1(2(2(2(1(2(1(1( 0 ( 1 ( 0(1(0(0(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(2(2(2(2(0(0(1(1(1(2(0(1(1(0(0(1(1(2(2(1(1(2(1(1(0(1(1(0(1(1( 2 ( 2 ( 1(1(0(0(0(2(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) 0(0(0(0(1(0(0(1(2(1(1(2(2(0(2(2(2(2(0(2(1(0(1(0(0(0(0(0(0(0(2(1(2(2( 2 ( 2 ( 2 ( 0(1(0(1(1(0(2(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(1(1(2(0(1(1(2(2(2(2(1(0(2(2(1(2(1(2(1(0(1(1(2(0(1(2(2(0(2(2(1(2( 1 ( 0 ( 0 ( 2 ( 2 ( 1 ( 1(0(2(1(2(2(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 0(0(1(1(1(1(0(2(2(2(0(0(0(2(1(2(2(0(2(0(0(0(0(2(2(0(1(0(2(1(2(1(0(2( 2 ( 2 ( 2 ( 0(1(1(2(2(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(2(0(1(1(0(2(0(1(1(2(1(2(1(2(0(2(0(1(0(0(1(1(1(1(2(2(1(2(0(1(2( 0 ( 0 ( 2 ( 2 ( 1 ( 2 ( 1(0(0(0(2(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) 0(1(0(1(2(2(2(0(0(2(0(0(2(1(2(2(1(0(1(2(2(0(1(2(1(1(2(1(1(1(0(0(0(0( 1 ( 2 ( 0 ( 0(0(0(0(1(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(2(1(1(0(2(0(1(1(2(0(2(2(1(1(1(1(0(1(1(2(0(1(1(0(1(2(1(0( 1 ( 1 ( 1 ( 0 ( 1 ( 1 ( 1(2(2(2(1(2(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(2(1(1(0(0(1(2(0(0(2(2(0(0(1(2(0(0(2(2(0(2(1(1(2(0(1(2(2(2(2(0(0( 1 ( 0 ( 2 ( 1 ( 1(0(0(2(1(1(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(0(1(2(1(2(0(0(2(2(1(1(1(1(1(1(0(1(0(1(1(1(0(1(0(0(1(2(2( 2 ( 1 ( 0 ( 2 ( 1 ( 2 ( 2 ( 2(1(1(1(1(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))) 2(0(0(2(0(1(1(2(2(1(1(0(1(2(2(2(2(1(2(1(0(1(1(1(1(1(1(2(0(0(0(0(2(0( 0 ( 0 ( 2 ( 2 ( 2 ( 0(2(1(0(2(2(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(0(1(2(1(1(1(1(1(0(2(1(1(2(1(0(1(0(2(0(2(0(0(0(1(0(0(2(1(2( 1 ( 2 ( 2 ( 2 ( 0 ( 2 ( 0 ( 0(1(0(0(0(2(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) Proof: Open