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