Warrington coach Tony Smith hailed an "ugly" win as the 2010 Carnegie Challenge Cup winners eased through to the quarter-finals with a 32-16 victory over Bradford at the Halliwell Jones Stadium.
The Wolves were not at their best but ran in four tries in a 14-minute spell either side of half-time to establish control of a scrappy fifth-round tie.
"In the Challenge Cup sometimes you can win ugly and get through," said Smith. "Bradford are a good team. They play field position very well, they kick and chase very well and they're a good defensive team. You have to work hard and have some patience against them."
The Bulls led for most of the first half thanks to Adrian Purtell's early try but the Wolves struck twice in four minutes before the break and added two more within 10 minutes of the re-start to establish an unassailable 26-6 lead.
Australian winger Joel Monaghan scored two of them on his way to completing a hat-trick but coach Tony Smith believes the impact of substitute forwards Ben Harrison, Simon Grix, Garreth Carvell and Mike Cooper was the deciding factor.
"I thought our bench was terrific," he said. "They gave us some real good energy.
"It was the best I've seen Benny play for some time. He really lifted us and Grix was outstanding when he came on as second hooker."
Bradford were the best team for most of the first half and scored second-half tries through Keith Lulia and Olivier Elima to provide coach Mick Potter with optimism for the rest of the season in Super League.
"We were in that game," he said. "They got the better of us just before half-time and we had a mountain to climb in the second half. When you make errors against Warrington they can burn you.
"There wasn't any lacking in effort. They gave everything, I couldn't ask for any more. There are some good signs there for us as a team."