What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: Elisabeth is playing squash if and only if it is sunny. For all x_12, x_12 will go running if and only if x_12 will listen to a song. Jessica is running if and only if Elisabeth is playing squash. Jessica is not listening to a song.
If Elisabeth plays squash, then it is sunny can be inferred via the biconditional elimination rule. If Jessica goes running, then Elisabeth is playing squash can be inferred via the biconditional elimination rule. If it is sunny, then Elisabeth is playing squash can be inferred via the biconditional elimination rule. If Elisabeth plays squash, then Jessica is running can be inferred via the biconditional elimination rule. For all x_12, if x_12 goes running, then x_12 is listening to a song can be inferred via the universal biconditional elimination rule. For all x_12, if x_12 listens to a song, then x_12 is running can be inferred via the universal biconditional elimination rule.