A prophet says: Adam repudiated so his offspring repudiated as well!

The objectors said to some Muslims: You attack our creed of the inheritance of the original sin (Adam's sin), and you forget your prophet's words that assure the creed of the inheritance of the original sin: " Adam repudiated, so his offspring repudiated as well, Adam forgot, so his offspring forgot as well, and Adam was wrongdoer, so his offspring were wrongdoers as well".
They referred to the speech mentioned in Al Termithi's Sunan, book of (The Interpretation of the Quran by the Messenger of Allah (PBUH)), chapter (From the Chapter of The Heights), no. 3002. Abu Huraira (may Allah be pleased with him) narrated that the messenger of Allah (PBUH) said: "When Allah created Adam, He rubbed out his back, so each human He created out of Adam till the day of judgment fell down from his back. He put a piece of light between the eyes of each human, and let Adam see them, so he said: "O God, who are they?", Allah answered: "They're your offspring". Adam saw a man among them, and he liked the light between his eyes, he asked Allah: "O God, who is this man?" Allah answered: "This is a man from the last nations of your offspring called Dawood (David)". Adam asked: "O God, how long did You make his life?", Allah answered: "Sixty years". Adam said: "O God, please take forty years from my life and give them to him". And when Adam's life finished, the angel of death came to him, he asked him: "Don't I still have forty years to live?". The angel answered: "Didn't you give them to your son, Dawood?". He said: "So Adam repudiated, so his offspring repudiated as well. Adam forgot, so his offspring forgot as well, and Adam was wrongdoer, so his offspring were wrongdoers as well".