WASHINGTON (Reuters) - War-fatigued lawmakers in the US House of Representatives took a symbolic swipe at President Barack Obamas Libya policy on Friday, rejecting a resolution that would have authorized his limited military intervention against Libyan leader Muammar Gaddafi for a year. The Republican-led House, upset over Obamas failure to seek congressional approval of US military action in Libya, voted 123-295, largely along party lines, to reject the resolution endorsing US involvement in the NATO-led mission. Immediately after the vote, the House began debating a second Libya measure that would effectively prevent the US military from participating in strike missions against Libya but allow it to continue to provide NATO forces with intelligence, refueling, planning and other support. Since NATO took over the Libya operation on March 31, the United States has conducted 755 strike sorties, including 119 in which the planes actually fired at targets. Thirty-nine of the strikes involved the use of drone aircraft. The congressional action was another warning to Obama about growing discontent among lawmakers after a decade of wars in Afghanistan and Iraq that has cost more than a trillion dollars and has helped fuel a $1.4 trillion budget deficit. Lawmakers who supported action authorizing US participation in the NATO mission against Gaddafi warned that rejection of the measure and approval of curbs on US military involvement could damage the UN-authorized operation. We have a responsibility to our allies, said Democratic Representative Alcee Hastings. As long as we are continuing to supply logistics, material and critical intelligence and operational capabilities and no boots are on the ground, we must support our allies who are carrying out the direct combat operations. We must stand with NATO. Others were critical of Obamas handling of the intervention and his failure to consult with Congress, as stated in the War Powers Act of 1973. We probably would have had ... pretty broad support here in the Congress for the action that was taken by the president if there had been early authorization, said Representative David Dreier, a Republican. I think Democrats and Republicans alike acknowledge that this has been very, very poorly handled.