It is highly likely that Sandra left the apple. It is highly unlikely that John moved to the garden. It is certain that Jessica is a mouse. There is little chance that if either John moved to the garden, or Jessica is a mouse, then Lily is a frog. There is a very good chance that if John moved to the garden, and Sandra left the apple, then Julius is a lion. It is probably not the case that if either John moved to the garden, or Sandra left the apple, then Mary went to the kitchen.
It is likely that john moved to the garden, and Mary went to the kitchen.
This example is valid.