RWY INCURSION AT CLE; OH.

Narrative

CLE ARPT WAS DEPARTING RWY 5L&R. WE WERE GIVEN INSTRUCTIONS TO TAXI TO RWY 5L AND HOLD SHORT OF RWY 5R AT TXWY N. ONCE WE WERE #1 AT TXWY N; WE SWITCHED OVER TO TWR. WE WERE THEN TOLD TO GO INTO POS AND HOLD ON RWY 5L AND TO EXPEDITE ACROSS RWY 5R. WE READ BACK THE CLRNC TO TWR AND PROCEEDED TO TAXI ACROSS RWY 5R. THERE WAS A B737 IN POS ON RWY 5R. WHEN WE WERE ON RWY 5R; I NOTICED AN ACFT ON SHORT FINAL FOR RWY 5L. SO MY FO ASKED TWR IF THEY WANTED US TO HOLD SHORT OF RWY 5L. TWR DID NOT RESPOND IMMEDIATELY. THEN AFTER A FEW SECONDS TWR ASKED WHO THE ACFT ON TXWY N WAS. IT THEN BECAME OBVIOUS THAT WE WERE NEVER CLRED TO CROSS RWY 5R. THE ACFT THAT HAD PREVIOUSLY LANDED ON RWY 5L WAS THE ONE CLRED TO CROSS RWY 5R. THROUGHOUT THE ENTIRE TIME THERE WAS NEVER ANY DANGER. THE B737 WAS NOT CLRED FOR TKOF AND WE NEVER CUT OFF THE ACFT ON SHORT FINAL FOR RWY 5L. THE CONTRIBUTING FACTORS WERE NONSTANDARD OPS (LNDG ON RWY 5L INSTEAD OF RWY 5R) AND TWR NOT RESPONDING TO OUR READBACK OF THE TAXI INSTRUCTIONS.