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