half x if ge x s s 0 x if false x 0 if true x s half p p x p 0 0 p s x x ge x 0 true ge 0 s x false ge s x s y ge x y log 0 0 log s x s log half s x half 1 if 2 ge 2 s 1 0 0 false 0 true 0 p 1 log 1 FULL ./AProVE_09_Inductive/log.trs