ACR X NON ADHERENCE TO ATC CLRNC RWY INCURSION.

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ACR X AFTER LNDG LAX ON RWY 25L WE WERE TOLD TO HOLD SHORT OF RWY 25R WHICH WE DID AT TXWY 45. OFF TO OUR L ON TXWY 47 AND ALSO HOLDING SHORT OF RWY 25L WAS A ACR Y AND AN ACR Z. ACR Y WAS CLRED TO CROSS AND WE WERE CLRED TO CROSS AND TO CONTACT GND. OBTAINED CLRNC TO TAXI TO THE GATE AND WHILE TAXIING IN WERE TOLD TO CALL THE TWR. AFTER ARR I SPOKE WITH SUPVR IN THE TWR WHO SAID THEY THOUGHT WE HAD CROSSED RWY 25R WITHOUT A CLRNC. I REPEATED TO HIM THE CLRNC WE BOTH BELIEVED WE HAD HEARD. I ALSO TOLD HIM THAT WE HAD COMMENTED BTWN US WHILE XING RWY 25R THAT IT WAS UNUSUAL TO BE SWITCHED TO GND WHILE STILL ON THE RWY. WE HAD BEEN HOLDING SHORT FOR SEVERAL MINS AND HAD COMPLETED THE AFTER LNDG CHKLISTS AND HAD CONTACTED LAX OPS AND WERE BOTH MONITORING THE TWR. NO CONFLICT WAS PRESENT AS Y AND Z WERE XING RWY 25R AT THE SAME TIME OFF TO OUR L AND THERE WAS NO CONFLICT WITH LCL GND TFC AS WE CLRED RWY 25R. IF AN ERROR WAS INADVERTENTLY MADE BY OUR PART; WHICH WE BOTH FEEL STRONGLY IT WAS NOT; THE ONLY CONTRIBUTING FACTORS THAT I THINK COULD HAVE CONTRIBUTED WERE A SATURATED ATC AND A LONG WX RELATED DAY FOR THE FLC.