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