Having A LOT of trouble with this. PLEASE explain your work flow when solving each part of the problem. My professor sucks and I have no idea what i'm doing...i hate proofs.

1. Consider the following: If it does not rain or if it is not foggy, then the sailing race will be held and the picnic will go on. If the sailing race is held, then the trophy will be awarded. The trophy was not awarded. Therefore, it rained. Propositions: r: "It rains" f: "It is foggy" S: "The sailing race will be held" p: "The picnic will go on" t: "The trophy will be awarded" Premises: (-V-) - (sap) St Conclusion: The following steps can be used to establish the conclusion from the premises. For each step, give the reason that the step is valid. 1) t 2) 5+1 3) -5 4) (-rv-f) - (sap) 5) -(sp) - - - V -f) 6) (-5 V-p) ( f) 7) - V-P 8) rne 9)