(A) Whether a hearing is or is not held on a petition filed pursuant to section 2953.21 of the Revised Code, a court may not entertain a petition filed after the expiration of the period prescribed in division (A) of that section or a second petition or successive petitions for similar relief on behalf of a petitioner unless division (A)(1) or (2) of this section applies:

1. (1) Both of the following apply:

   1. (a) Either the petitioner shows that the petitioner was unavoidably prevented from discovery of the facts upon which the petitioner must rely to present the claim for relief, or, subsequent to the period prescribed in division (A)(2) of section 2953.21 of the Revised Code or to the filing of an earlier petition, the United States Supreme Court recognized a new federal or state right that applies retroactively to persons in the petitioner's situation, and the petition asserts a claim based on that right.
   2. (b) The petitioner shows by clear and convincing evidence that, but for constitutional error at trial, no reasonable factfinder would have found the petitioner guilty of the offense of which the petitioner was convicted or, if the claim challenges a sentence of death that, but for constitutional error at the sentencing hearing, no reasonable factfinder would have found the petitioner eligible for the death sentence.
2. (2) The petitioner was convicted of a felony, the petitioner is an offender for whom DNA testing was performed under sections 2953.71 to 2953.81 of the Revised Code or under former section 2953.82 of the Revised Code and analyzed in the context of and upon consideration of all available admissible evidence related to the inmate's case as described in division (D) of section 2953.74 of the Revised Code, and the results of the DNA testing establish, by clear and convincing evidence, actual innocence of that felony offense or, if the person was sentenced to death, establish, by clear and convincing evidence, actual innocence of the aggravating circumstance or circumstances the person was found guilty of committing and that is or are the basis of that sentence of death. As used in this division, "actual innocence" has the same meaning as in division (A)(1)(c) of section 2953.21 of the Revised Code, and "former section 2953.82 of the Revised Code" has the same meaning as in division (A)(1)(d) of section 2953.21 of the Revised Code.