...I don't see the solution...?
The diodes aren't doing anything. See for yourself. Start out at the top of V_1. Follow that down the outside wire of the loop, disregarding the tap points for V_out. Now you get to the bottom of V_2, and the diode is pointing INTO V_2. Then it goes through another diode, also pointing forward, and then it goes up the inside leg, across another diode, and back to V_1. A loop. A short-circuit with no load. Labeling the diodes from top to bottom, either (D1 AND D2) OR (D3 AND D4) need to be turned to face the opposite way. That HAS to be done at minimum. Otherwise, you're going to cook your voltage sources.
Also, when discussing things like this, and when looking at a schematic, it helps IMMENSELY to label ALL PARTS of the schematic. That way, we can give intelligent advice and directions to you, and it will be easier for all parties involved to discuss a certain component. Right now, you have two resistors labeled 'R1'. So if somebody mentions 'R1', which one will they be referring to?