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