Donald Trump torches 'Teddy' Cruz as their feud reaches new heights

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Donald Trump: 'Cruz Is Not an Honorable Guy'

Republican presidential front-runner Donald Trump has responded to Sen. Ted Cruz's (R-Texas) most recent attacks with a statement again threatening a lawsuit and calling Cruz a "liar."

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The feud between the two candidates vying for their party's presidential nomination escalated on Wednesday, when Cruz held an extended press conference in which he derided Trump and his other main rival, Sen. Marco Rubio (R-Florida), for engaging in "insults and attacks" on the campaign trail.

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Donald Trump torches 'Teddy' Cruz as their feud reaches new heights
STAFFORD-MARCH 1: Ted Cruz holds his victory rally at the Redneck Country Club in Stafford, Texas. On the left is his wife, Heidi and their two daughters and on the right is the Lt. Governor of Texas, Dan Patrick. (Photo by Lucian Perkins /for The Washington Post via Getty Images)
Senator Ted Cruz, a Republican from Texas and 2016 presidential candidate, stands on stage during a Super Tuesday night event in Houston, Texas, U.S., on Tuesday, March 1, 2016. Cruz said Monday in Dallas that Super Tuesday will make the Republican primary a 'two-man race,' predicting that he and Donald Trump will finish far ahead of rivals Marco Rubio, John Kasich and Ben Carson in terms of delegates. Photographer: Matthew Busch/Bloomberg via Getty Images
Senator Ted Cruz, a Republican from Texas and 2016 presidential candidate, greets attendees with his wife Heidi Cruz and children during a campaign event in San Antonio, Texas, U.S., on Monday, Feb. 29, 2016. Cruz said Monday in Dallas that Super Tuesday will make the Republican primary a 'two-man race,' predicting that he and Donald Trump will finish far ahead of rivals Marco Rubio, John Kasich and Ben Carson in terms of delegates. Photographer: Matthew Busch/Bloomberg via Getty Images *** Local Captions *** Ted Cruz; Heidi Cruz
US Republican presidential hopeful Sen. Ted Cruz speaks at a presidential campaign rally in Dallas, Texas on February 29, 2016 one day before the 'Super Tuesday' primaries. Americans in a dozen states head to the polls for a slew of primaries and caucuses March 1 on what is considered the most important day of the presidential nominations calendar. / AFP / Laura Buckman (Photo credit should read LAURA BUCKMAN/AFP/Getty Images)
UNITED STATES - FEBRUARY 27: Presidential candidate Sen. Ted Cruz, R-Texas, arrives for a campaign rally near the Georgia State Capitol Building in Atlanta, Ga., February 27, 2016. (Photo By Tom Williams/CQ Roll Call)
HOUSTON, TX - FEBRUARY 24: Republican presidential candidate U.S. Sen Ted Cruz (R-TX) greets people during a campaign rally at the Mach Industrial Group on February 24, 2016 in Houston, Texas. The process to select the next Democratic and Republican Presidential candidates continues. (Photo by Joe Raedle/Getty Images)
AMES, IA - JANUARY 30: Republican presidential candidate Sen. Ted Cruz (R-TX) arrives at a campaign event at the Gateway Hotel on January 30, 2016 in Ames, Iowa. The Democratic and Republican Iowa Caucuses, the first step in nominating a presidential candidate from each party, will take place on February 1. (Photo by Brendan Hoffman/Getty Images)
DES MOINES, IA - JANUARY 31: Republican presidential candidate Sen. Ted Cruz (R-TX) speaks to Iowa voters at the Iowa State Fairgrounds January 31, 2016 in Des Moines, Iowa. The U.S. presidential election kicks off tomorrow with the state's caucuses. (Photo by Win McNamee/Getty Images)
HAMLIN, IA - JANUARY 30: Republican presidential candidate Sen. Ted Cruz (R-TX) speaks at a campaign event at Darrell's Place on January 30, 2016 in Hamlin, Iowa. The Democratic and Republican Iowa Caucuses, the first step in nominating a presidential candidate from each party, will take place on February 1. (Photo by Brendan Hoffman/Getty Images)
HAMLIN, IA - JANUARY 30: Republican presidential candidate Sen. Ted Cruz (R-TX) (C) greets an audience member as he is introduced at a campaign event at Darrell's Place on January 30, 2016 in Hamlin, Iowa. The Democratic and Republican Iowa Caucuses, the first step in nominating a presidential candidate from each party, will take place on February 1. (Photo by Brendan Hoffman/Getty Images)
Republican presidential candidate, Sen. Ted Cruz, R-Texas speaks during a campaign stop at the Freedom Country Store, Tuesday, Jan. 19, 2016, in Freedom, N.H. (AP Photo/John Minchillo)
Republican presidential candidate, Sen. Ted Cruz, R-Texas, departs a campaign stop, Monday, Jan. 18, 2016, in Washington, N.H. (AP Photo/Matt Rourke)
Shown is Republican presidential candidate, Sen. Ted Cruz, R-Texas, shadow as he speaks during a campaign stop Wednesday, Jan. 20, 2016, in Hollis, N.H. (AP Photo/Matt Rourke)
Delaney Anne tries to make a selfie with Republican presidential candidate, Sen. Ted Cruz, R-Texas, during a campaign stop, Monday, Jan. 18, 2016, in Tilton, N.H. (AP Photo/Matt Rourke)
Republican Presidential candidate Sen. Ted Cruz, R-Texas, campaigns at Penny's Diner in Missouri Valley, Iowa, Monday, Jan. 4, 2016. (AP Photo/Nati Harnik)
LAS VEGAS, NV - DECEMBER 17: Republican presidential candidate Sen. Ted Cruz (R-TX) speaks during a campaign rally at the Siena Community Center on December 17, 2015 in Las Vegas, Nevada. Two days after participating in the fifth GOP presidential debate, Cruz began a swing through eight Super Tuesday states in five days. (Photo by Ethan Miller/Getty Images)
Republican presidential candidate Sen. Ted Cruz, R-Texas, speaks during a town hall meeting at Furman University on Monday, Dec. 7, 2015, in Greenville, S.C. (AP Photo/Rainier Ehrhardt)
Republican presidential candidate Sen. Ted Cruz, R-Texas, speaks Saturday, Dec. 5, 2015, during the Rising Tide Summit at the US Cellular Center in Cedar Rapids, Iowa. (AP Photo/Scott Morgan)
Republican presidential candidate Sen. Ted Cruz, R-Texas speaks to supporters on the Statehouse steps in Concord, N.H., Thursday, Nov. 12, 2015, after filing papers to be on the nation's earliest presidential primary ballot. (AP Photo/Jim Cole)
WASHINGTON, DC - DECEMBER 03: Republican presidential candidate Sen. Ted Cruz (R-TX) leads a moment of silence for victims of the San Bernardino shooting prior to his address to the Republican Jewish Coalition at Ronald Reagan Building and International Trade Center December 3, 2015 in Washington, DC. Candidates spoke and took questions from Jewish leaders and activists. (Photo by Alex Wong/Getty Images)
Republican presidential candidate Sen. Ted Cruz, R-Texas, shops for jewelry from ChildVoice International with his daughters Catherine, left, and Caroline during a campaign stop at the Deerfield Fair Friday, Oct. 2, 2015, in Deerfield, N.H. ChildVoice International is a non-profit organization seeking to restore the voices of children silenced by war.(AP Photo/Jim Cole)
Republican Presidential candidate Donald Trump, right, speaks with fellow Republican presidential candidate Sen. Ted Cruz, R-Texas, during a rally opposing the Iran nuclear deal outside the Capitol in Washington, Wednesday, Sept. 9, 2015. (AP Photo/Susan Walsh)
Senator Ted Cruz, a Republican from Texas and 2016 presidential candidate, speaks during a Tea Party Patriots rally against the Iran nuclear deal on Capitol Hill in Washington, D.C., U.S., on Wednesday, Sept. 9, 2015. A revolt among U.S. House Republicans delayed action on the Iran nuclear deal today as some members insisted they aren't bound by a Sept. 17 deadline in their efforts to kill the agreement. Photographer: Andrew Harrer/Bloomberg via Getty Images
Republican presidential candidate Texas Sen. Ted Cruz, center, right, posses for a photo with Timothy Lewis after a campaign event at the Stockyards in Forth Worth, Texas, Thursday, Sept. 3, 2015. (AP Photo/LM Otero)
Photographed through attendees, Republican presidential candidate, Sen. Ted Cruz, R-Texas, speaks at the Americans for Prosperity Road to Reform event Friday, Aug. 14, 2015, in Las Vegas. (AP Photo/John Locher)
DES MOINES, IA - AUGUST 21: Republican presidential candidate Sen. Ted Cruz (R-TX) speaks to supporters at his Religious Liberty Rally on August 21, 2015 in Des Moines, Iowa. Earlier in the day Republican presidential candidate Sen. Ted Cruz (R-TX) visited and spoke to guests at the Iowa State Fair. (Photo by Scott Olson/Getty Images)
Senator Ted Cruz, a Republican from Texas and 2016 presidential candidate, speaks at the Iowa State Fair Soapbox in Des Moines, Iowa, U.S., on Friday, Aug. 21, 2015. A day after Jimmy Carter appeared on national television to talk about the cancer that's ravaging his body, Cruz criticized the former president's administration in a speech in Iowa. Photographer: Daniel Acker/Bloomberg via Getty Images
Senator Ted Cruz, a Republican from Texas and 2016 presidential candidate, eats a pork chop at the Iowa Pork Producers tent during the Iowa State Fair in Des Moines, Iowa, U.S., on Friday, Aug. 21, 2015. A day after Jimmy Carter appeared on national television to talk about the cancer that's ravaging his body, Cruz criticized the former president's administration in a speech in Iowa. Photographer: Daniel Acker/Bloomberg via Getty Images
Senator Ted Cruz, a Republican from Texas and 2016 presidential candidate, speaks at the Rally for Religious Liberty in Des Moines, Iowa, U.S., on Friday, Aug. 21, 2015. A day after Jimmy Carter appeared on national television to talk about the cancer that's ravaging his body, Republican presidential candidate Cruz criticized the former president's administration in a speech in Iowa. Photographer: Daniel Acker/Bloomberg via Getty Images
UNITED STATES - AUGUST 8: Presidential candidate Sen. Ted Cruz (R-TX) spends a few moments with his daughter Catherine before the start of the Cruz bus tour rally in a field behind Sprayberry's BBQ in Newnan, Ga., on Saturday, Aug. 8, 2015. (Photo By Bill Clark/CQ Roll Call)
Texas Senator Ted Cruz participates in the Republican presidential primary debate on August 6, 2015 at the Quicken Loans Arena in Cleveland, Ohio. AFP PHOTO / MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)
UNITED STATES - JULY 29: Sen. Ted Cruz, R-Texas, awaits for the elevator doors to close as he arrives in the basement of the Capitol, July 29, 2015. (Photo By Al Drago/CQ Roll Call)
WASHINGTON, DC - JULY 28: Republican presidential candidate, U.S. Sen. Ted Cruz (R-TX) speaks during a Anti-abortion rally opposing federal funding for Planned Parenthood in front of the U.S. Capitol July 28, 2015 in Washington, DC. Sen. Rand Paul (R-KY) announced a Senate deal to vote on legislation to defund Planned Parenthood before the Senate goes into recess in August. (Photo by Olivier Douliery/Getty Images)
Sen. Ted Cruz, R-Texas, speaks to reporters following a rare Sunday Senate session on Capitol Hill in Washington, Sunday, July 26, 2015. Senior Senate Republicans lined up Sunday to rebuke Cruz for attacking Majority Leader Mitch McConnell, an extraordinary display of intraparty division played out live on the Senate floor. (AP Photo/Manuel Balce Ceneta)
WASHINGTON, USA - JULY 23: Republican Presidential Candidate Senator Ted Cruz speaks out against the nuclear deal with Iran during a demonstration that was interrupted by counter protestors in Lafayette Park across the the street from the White House in Washington, DC on July 23, 2015. (Photo by Samuel Corum/Anadolu Agency/Getty Images)
Senator Ted Cruz, a Republican from Texas and 2016 U.S. presidential candidate, speaks during The Family Leadership Summit in Ames, Iowa, U.S., on Saturday, July 18, 2015. The sponsor, The FAMiLY LEADER, is a 'pro-family, pro-marriage, pro-life organization which champions the principle that God is the ultimate leader of the family.' Photographer: Daniel Acker/Bloomberg via Getty Images
AMES, IA - JULY 18: Republican presidential hopeful Senator Ted Cruz of Texas fields questions at The Family Leadership Summit at Stephens Auditorium on July 18, 2015 in Ames, Iowa. According to the organizers the purpose of The Family Leadership Summit is to inspire, motivate, and educate conservatives. (Photo by Scott Olson/Getty Images)
Senator Ted Cruz, a Republican from Texas and 2016 presidential candidate, stands outside while waiting to speak during the Faith and Freedom Coalition's 'Road to Majority' legislative luncheon in Washington, D.C., U.S., on Thursday, June 18, 2015. The annual Faith & Freedom Coalition Policy Conference gives top-tier presidential contenders as well as long shots a chance to compete for the large evangelical Christian base in the crowded Republican primary contest. Photographer: Andrew Harrer/Bloomberg via Getty Images
WASHINGTON, DC - JUNE 04: Sen. Ted Cruz (R-TX) participates in a Judiciary Subcommittee hearing on the Affordable Care Act on Capitol Hill June 4, 2015 in Washington, DC. The hearing is billed as 'Rewriting The Law, Examining the Process That Led to the ObamaCare Subsidy Rule'. (Photo by Mark Wilson/Getty Images)
Senator Ted Cruz, a Republican from Texas and 2016 presidential candidate, speaks during a press conference at the Hampton Inn and Suites in Seneca, South Carolina, U.S., on Wednesday, Feb. 17, 2016. Cruz says Donald Trump sent his lawyers cease and desist letters over a Cruz campaign ad that portrays Trump as pro-choice saying that if the Cruz campaign doesn't pull ad, they'll see immediate legal action to prevent the continued broadcast of this ad, according to Cruz. Photographer: Daniel Acker/Bloomberg via Getty Images
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But Trump said it was Cruz who was spewing lies on the campaign trail.

The mogul added, "If I want to bring a lawsuit it would be legitimate. Likewise, if I want to bring the lawsuit regarding Senator Cruz being a natural born Canadian I will do so. Time will tell, Teddy."

Trump has threatened to sue Cruz over negative ads the Cruz campaign is running in South Carolina and over Cruz's eligibility as a presidential candidate. Trump has taken issue with Cruz's statements about Trump's supposed support for Obamacare and for taxpayer funding for Planned Parenthood.

RELATED: Some of Trump's most controversial tweets:

23 PHOTOS
Craziest Donald Trump Tweets
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Donald Trump torches 'Teddy' Cruz as their feud reaches new heights
I told you @TIME Magazine would never pick me as person of the year despite being the big favorite They picked person who is ruining Germany
I would like to wish everyone, including all haters and losers (of which, sadly, there are many) a truly happy and enjoyable Memorial Day!
Just made the point at #NCGOPcon that "we have to protect our border & I think everyone here knows, nobody can build a wall like Trump!"
My twitter has become so powerful that I can actually make my enemies tell the truth.
China's Communist Party has now publicly praised Obama's reelection. They have never had it so good. Will own America soon.
While Jon Stewart is a joke, not very bright and totally overrated, some losers and haters will miss him & his dumb clown humor. Too bad!
Why is Obama playing basketball today? That is why our country is in trouble!
An 'extremely credible source' has called my office and told me that @BarackObama's birth certificate is a fraud.
Remember, I said Derek don't sell your Trump World Tower apartment...its been lucky for you. The day after he sold it, he broke his foot.
I never fall for scams. I am the only person who immediately walked out of my ‘Ali G’ interview
.@cher--I don’t wear a “rug”—it’s mine. And I promise not to talk about your massive plastic surgeries that didn’t work.
The concept of global warming was created by and for the Chinese in order to make U.S. manufacturing non-competitive.
.@katyperry is no bargain but I don't like John Mayer--he dates and tells--be careful Katy (just watch!).
.@BetteMidler talks about my hair but I'm not allowed to talk about her ugly face or body --- so I won't. Is this a double standard?
It's Thursday. How much money did Barack Obama waste today on crony green energy projects?
Truly weird Senator Rand Paul of Kentucky reminds me of a spoiled brat without a properly functioning brain. He was terrible at DEBATE!
Hey @realDonaldTrump - In case you're looking for that tweet you deleted .. I got it right here. http://t.co/a6F98q5xGU
This very expensive GLOBAL WARMING bullshit has got to stop. Our planet is freezing, record low temps,and our GW scientists are stuck in ice
Everyone knows I am right that Robert Pattinson should dump Kristen Stewart. In a couple of years, he will thank me. Be smart, Robert.
26,000 unreported sexual assults in the military-only 238 convictions. What did these geniuses expect when they put men & women together?
Sorry losers and haters, but my I.Q. is one of the highest -and you all know it! Please don't feel so stupid or insecure,it's not your fault
How amazing, the State Health Director who verified copies of Obama’s “birth certificate” died in plane crash today. All others lived
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Cruz said Wednesday that Trump's campaign sent him a cease-and-desist letter over the ads, demanding Cruz take down one airing in South Carolina which includes a years-old clip of Trump stating his then-support for abortion rights. Cruz challenged Trump to file his lawsuit, saying that he may take on the case himself.

"Even in the annals of frivolous lawsuits, this takes the cake," Cruz said. "So Donald, I would encourage you -- if you want to file a lawsuit challenging this ad, claiming it is defamation, file the lawsuit. It is a remarkable contention that an ad that plays video of Donald Trump speaking on national television is somehow defamation."

Trump has also charged that Cruz might be ineligible for the presidency because he was born in Canada. Cruz was born to an American mother, and despite his place of birth, most legal experts believe he meets the Constitution's requirement that presidents be "natural born" citizens.

Here's the full statement from Trump:

Ted Cruz has already had one of his ads pulled off the air concerning Senator Rubio because it was totally false. Additionally, he was forced to apologize to Dr. Ben Carson for fraudulently stealing his votes in Iowa, and was embarrassed by his phony voter violation form. He is a liar and these ads and statements made by Cruz are clearly desperate moves by a guy who is tanking in the polls — watching his campaign go up in flames finally explains Cruz's logo. I am pro-life and I do not support taxpayer funding for Planned Parenthood as long as they are performing abortions. I have been clear about my position on this issue for years. I am also a strong advocate of the second amendment and a proud member of the NRA, as are my sons. I will repeal and replace ObamaCare and I would nominate a very conservative Justice to protect our freedoms and conservative values. If I want to bring a lawsuit it would be legitimate. Likewise, if I want to bring the lawsuit regarding Senator Cruz being a natural born Canadian I will do so. Time will tell, Teddy.

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