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: For all x_11, x_11 will cook or x_11 is not a sailor. For all x_11, if x_11 cooks, then x_11 is a sailor. There is at least one x_11 for which if x_11 were curious, then x_11 is cooking. For all x_11, if x_11 were a scientist, then x_11 is curious.
There is at least one x_11 for which if x_11 were curious, then x_11 is a sailor can be inferred via the existential transitivity rule. There is at least one x_11 for which if x_11 were a scientist, then x_11 is cooking can be inferred via the existential transitivity rule. For all x_11, if x_11 were a sailor, then x_11 is cooking can be inferred via the universal rewriting rule.