Spanish to English Law/Patents Law (general) Arbitration

The term "verdadero debate contradictorio" seems to come up a lot in this context. i.e. the congruency/consistency or otherwise of the arbitral award with the claims or requests of the parties to the arbitration.

context: same request for rectification, correction and supplementation of arbitral award.

"sobre la base de ambas premisas, el Laudo Final contiene un detallado análisis de las principales cuestiones debatidas por las partes, respetando así completamente la tutela arbitral efectiva de las Partes; no concurre desajuste alguno entre su fallo y los términos en que las Partes han formulado sus respectivas pretensiones durante el procedimiento arbitral, en el cual -además- *han trabado libremente un verdadero debate contradictorio.*

I just can't find the way to word this phrase in English (I did look at the reference on "debate contradictorio" in proz, but am not sure this works here) so any suggestions would be very much appreciated.

Thank you!!