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