Tracy Cain v. Kevin Chappell , 870 F.3d 1003 ( 2017 )


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  •                 FOR PUBLICATION
    UNITED STATES COURT OF APPEALS
    FOR THE NINTH CIRCUIT
    TRACY DEARL CAIN,                      No. 13-99008
    Petitioner-Appellant,
    D.C. No.
    v.                   2:96-cv-02584-ABC
    KEVIN CHAPPELL, Warden,
    Respondent-Appellee.              OPINION
    Appeal from the United States District Court
    for the Central District of California
    Audrey B. Collins, District Judge, Presiding
    Argued and Submitted August 2, 2016
    Pasadena, California
    Filed September 13, 2017
    Before: Diarmuid F. O’Scannlain, Johnnie B. Rawlinson,
    and Consuelo M. Callahan, Circuit Judges.
    Opinion by Judge Rawlinson
    2                        CAIN V. CHAPPELL
    SUMMARY*
    Habeas Corpus / Death Penalty
    The panel affirmed the district court’s denial of a habeas
    corpus petition in a death penalty case.
    The petitioner was convicted after a jury trial and
    sentenced to death for two counts of first-degree murder,
    burglary, and robbery. Distinguishing Gautt v. Lewis, 
    489 F.3d 993
     (9th Cir. 2007), the panel held that the petitioner
    was not denied procedural due process through inadequate
    notice of an attempted rape special circumstance, and his
    constitutional rights were not violated when the prosecutor
    presented this special circumstance to the jury.
    The panel expanded the certificate of appealability to
    include additional claims but held that these claims lacked
    merit. The panel held that the petitioner did not establish
    guilt-phase ineffective assistance of counsel in his attorney’s
    concession of guilt on the burglary counts, failure to object to
    the attempted rape special circumstance, or failure to
    investigate and present voluntary intoxication and mental
    health defenses.
    The panel held that the petitioner did not establish
    penalty-phase ineffective assistance in counsel’s failure to
    investigate and present mitigating evidence based on the
    petitioner’s substance abuse, neurological and psychological
    problems, and family background. The panel concluded that
    *
    This summary constitutes no part of the opinion of the court. It has
    been prepared by court staff for the convenience of the reader.
    CAIN V. CHAPPELL                         3
    the petitioner did not establish an Eighth Amendment claim
    based on intellectual disability under Atkins v. Virginia.
    COUNSEL
    Jonathan C. Aminoff (argued) and Mark R. Drozdowski,
    Deputy Federal Public Defenders; Hilary Potashner, Federal
    Public Defender; Office of the Federal Public Defender, Los
    Angeles, California; for Petitioner-Appellant.
    Kim Aarons (argued) and A. Scott Hayward, Deputy
    Attorneys General; Lance E. Winters, Senior Assistant
    Attorney General; Gerald A. Engler, Chief Assistant Attorney
    General; Office of the Attorney General, Los Angeles,
    California; for Respondent-Appellee.
    OPINION
    RAWLINSON, Circuit Judge:
    In this death penalty case, Petitioner Tracy Cain (Cain)
    challenges the district court’s denial of his federal habeas
    petition. Cain was convicted and sentenced to death for the
    murder of a couple, William and Modena Galloway, who
    resided in a home next to Cain’s father. The district court
    denied Cain’s habeas petition, but granted a certificate of
    appealability (COA) on Cain’s claim that he did not receive
    adequate notice of the attempted rape special circumstance.
    We affirm the district court’s denial of Cain’s habeas petition.
    4                    CAIN V. CHAPPELL
    I. BACKGROUND
    In a criminal complaint, Cain was charged with the first-
    degree murders of the Galloways. The complaint further
    alleged special circumstances premised on multiple murder,
    rape or attempted rape, robbery or attempted robbery, and
    burglary in connection with Mrs. Galloway’s murder. With
    respect to the rape special circumstance, Special Allegation
    No. 4 provided:
    It is further alleged that the murder of Modena
    Shores Galloway was committed by
    defendant, Tracy Dearl Cain, while the
    defendant was engaged in the commission or
    attempted commission of the crime of rape, in
    violation of Penal Code section 261, within
    the meaning of Penal Code section
    190.2(a)(17).
    The complaint also alleged special circumstances based on
    multiple murder, burglary, and robbery or attempted robbery
    associated with Mr. Galloway’s murder. Cain was also
    separately charged with the offenses of rape, burglary, and
    robbery.
    A second amended information alleged the same basic
    offenses and special circumstances, albeit with some
    additional details. Unlike the original criminal complaint, the
    amended information did not specifically allege attempted
    rape as a special circumstance. Instead, Special Allegation 6
    stated:
    It is further alleged that the murder of Modena
    Shores Galloway was committed by
    CAIN V. CHAPPELL                         5
    defendant, Tracy D. Cain, while the defendant
    was engaged in the commission of rape in
    violation of Penal Code Section 261, within
    the meaning of Penal Code Section
    190.2(a)(17).
    Cain did not raise any pre-trial objections to the allegations in
    the amended information addressing the attempted rape
    special circumstance. See People v. Cain, 
    892 P.2d 1224
    ,
    1248 (Cal. 1995) (In Bank) (explaining that, after the
    prosecution’s rebuttal, “the trial court raised the issue of
    whether the information had provided defendant with
    sufficient notice of the attempted rape basis of the special
    circumstance”) (emphasis added).
    The evidence at trial established that the Galloways lived
    next door to Cain’s father. See 
    id. at 1233
    . Mr. Galloway,
    who was sixty-three years old, suffered from poor health and
    a back injury, and “had a habit of keeping large amounts of
    cash in his house.” 
    Id.
    During the relevant period, Cain’s father went on a trip,
    leaving Cain and his younger brother, Val, at the residence.
    See 
    id. at 1234
    . On the night of the Galloways’ murders,
    Cain and Val had a party at their father’s house. See 
    id.
    Ulysses Anthony Mendoza (Mendoza), Floyd Clements
    (Clements), David Cerda (Cerda), Rick Albis (Albis), and
    Kevin Walker (Walker) attended the party. See 
    id.
    Mendoza testified that Cain was agitated and upset during
    the party. Cain threatened Mendoza and others when he was
    unable to find ten dollars that was missing, and kicked a hole
    in a door because he was angry with his brother.
    6                    CAIN V. CHAPPELL
    Mendoza related that, at approximately 11:00 pm, Cain
    asked Mendoza to accompany him to the 7-Eleven to
    purchase beer. As they were walking to the 7-Eleven, Cain
    asked Mendoza if he “wanted to help him burglarize or rob
    that house next door to his house.” According to Mendoza,
    Cain stated that he wanted to burglarize the residence “so he
    can get thousands.” Mendoza refused because he “[d]idn’t
    have the nerve.”
    At the 7-Eleven, Mendoza and Cain met Richard Willis
    (Willis) and Willis’ friend, Shawn. Cain asked them if they
    had any cocaine. While riding in Shawn’s vehicle, Cain
    made a “strangling motion” to Mendoza, after which
    Mendoza asked to be dropped off for fear that “something
    foolish would happen.” Mendoza returned to the Cain
    residence.
    When Cain arrived at the residence, he “called [Mendoza]
    a pussy . . . [b]ecause [Mendoza] wouldn’t help him.”
    Mendoza then saw Cain and Cerda leave the residence.
    Cerda returned to the Cain residence alone. At some point,
    Val asked Cerda to check on his brother. After a few seconds
    or minutes, Cerda returned without Cain. When Cain
    eventually returned to the residence, he “had blood on his hat,
    inner part of his hat, on his cheek, on his right foot, [and] on
    his pant leg.” Cain stated that “he had thousands” and
    Mendoza recalled that Cain had “a lot of money in his left
    palm.” Cain also remarked that he “blipped somebody.”
    The next morning, Mendoza observed Cain sleeping in a
    recliner in the living room. Mendoza noticed that Cain had
    $500 next to him on a table. Mendoza also observed that
    Cain’s “knuckles were torn up.” Later in the day, Mendoza
    and Cain went shopping. Cain paid cash for new basketball
    CAIN V. CHAPPELL                            7
    shoes, a hat, and a car stereo. According to Mendoza, Val
    asked Cain if he had killed someone and Cain responded,
    “That’s on them. . . .”
    The following day, Mendoza attended a barbecue at the
    Cain residence. During the barbecue, Cain threatened
    Mendoza if he refused to let Cain use his truck. Mendoza
    noticed that Cain had placed a box in the truck containing
    rags, sticks, and wires. Cain subsequently disposed of the
    box near the beach.
    Dr. Frederick Lovell, Chief Medical Examiner for
    Ventura County, performed an autopsy on Mr. Galloway’s
    body. Dr. Lovell observed numerous bruises on Mr.
    Galloway’s body and “hemorrhage over the entire left side of
    [his] head from front to back on bone, and . . . hemorrhage in
    and around the brain underneath.” Dr. Lovell stated that there
    was a minimum of thirteen separate blows on Mr. Galloway’s
    body and that Mr. Galloway died from trauma to his brain.1
    Dr. Ronald O’Halloran, Assistant Medical Examiner for
    Ventura County, examined Mrs. Galloway’s body. Dr.
    O’Halloran observed “multiple injuries on [Mrs. Galloway’s]
    face.” Mrs. Galloway suffered “a baselar skull fracture” and
    “a hemorrhage in the space around the brain.” Dr.
    O’Halloran determined that Mrs. Galloway died from
    “traumatic head injuries.”
    1
    The evidence reflected that “[a] broken child’s rocking chair,
    splattered with blood and missing a rocker and an armrest support, was
    found next to Mr. Galloway’s body in the hallway.” Cain, 
    892 P.2d at 1236
    .
    8                    CAIN V. CHAPPELL
    Dr. O’Halloran observed Mrs. Galloway “lying on her
    back on the bed . . . with her feet and legs extending over the
    side of the bed.” According to Dr. O’Halloran, Mrs.
    Galloway’s “legs were spread wide apart, exposing her
    genital area; and she was nude from the waist down.” There
    was also “a pillow lying over her head” and “blood splatters
    on the wall.” “There was moist fluid coming out of her
    vaginal area, and . . . a streak of brownish-red material that
    appeared to be blood coming from or coming from close to
    her vaginal area.”
    During Mrs. Galloway’s autopsy, Dr. O’Halloran
    “surgically removed the vagina and examined it” for injuries.
    Dr. O’Halloran discovered “a one centimeter long tear . . .
    inside the vaginal opening. . . .” Due to the lack of
    hemorrhage, Dr. O’Halloran opined that he may have caused
    the tear during his examination. Dr. O’Halloran also noted
    that the absence of injuries did not preclude a finding that
    Mrs. Galloway was raped.
    Edwin Jones (Jones), a criminalist, testified as a hair
    expert. Jones determined that fifteen hairs found in Mrs.
    Galloway’s panties, pajama bottom, slipper socks, and
    pajama top were microscopically similar to Cain’s hair
    samples. Jones eliminated Mendoza, Cerda, and Clements as
    sources of the pubic hairs found on Mrs. Galloway’s body.
    Jones also performed a chemical analysis of enzymes in the
    hair samples and determined that he could not eliminate Cain.
    Dr. Bruce Woodling testified as an expert on sexual
    assault. Dr. Woodling related that he had examined
    approximately 2,000 sexual assault victims. After examining
    Mrs. Galloway, Dr. Woodling concluded that Dr.
    O’Hallaron’s testimony that he may have caused the vaginal
    CAIN V. CHAPPELL                       9
    tear was not a “likely explanation.” Dr. Woodling related that
    he had never observed a similar tear during removal and
    examination of the vagina in the rape cases in which he
    participated. Dr. Woodling opined that the laceration was “a
    classic injury of a forced penile-type penetration . . .”
    Detective Billy Tatum of the Oxnard Police Department
    testified that he investigated the Galloway homicides.
    Detective Tatum spoke with Mendoza and did not observe
    any injuries on Mendoza’s hands. Detective Tatum
    subsequently obtained an arrest warrant for Cain and
    interviewed Cain at the police station. The tape recorded
    interview was played to the jury.
    During the taped interview, Cain initially stated that he
    remained at his residence on the night of the Galloways’
    murders, except to go to the store, and “stayed at home” the
    following day. Cain related that he found out about the
    Galloways’ murders on the following Monday, when he
    returned home from work. Cain explained that the bruise on
    his shoulder was from his girlfriend and the cuts on his
    fingers were from playing with his dog.
    Cain eventually admitted that he went into the Galloways’
    residence, but denied committing the murders. After
    inquiring if the police had any evidence that Cain “killed
    them,” Cain admitted that he and other individuals entered the
    residence on Saturday to “wipe[ ] away the fingerprints.”
    Cain also eventually acknowledged that he was in the
    Galloways’ residence during the murders, and he asserted that
    Albis placed a pillow cover over Mrs. Galloway’s face. Cain
    mentioned that Cerda and Mendoza hit Mr. Galloway and
    Mendoza struck Mr. Galloway with a chair. According to
    Cain, his fingerprints may have been on the chair because he
    10                   CAIN V. CHAPPELL
    “picked it up and . . . moved it.” Cain conveyed that he did
    not know who raped Mrs. Galloway, but that Albis struck her
    in the hallway and placed her on the bed.
    Detective Tatum testified that there was a malfunction in
    the audio tape during the interview, and the tape “just stopped
    playing . . . on Side 1.” During the malfunction, Cain
    admitted to stealing $500 from the Galloways’ residence.
    Prior to jury deliberations, the trial court expressed
    concern about the attempted rape special circumstance.
    Specifically, the trial court observed that the information did
    not specifically charge attempted rape, although the
    information charged attempted robbery. Cain’s counsel
    responded:
    But to be quite candid about it, I’ve read
    Section 190.2 numerous times. I’m aware it
    says commission or attempted commission. I
    can’t in good conscience say that I am
    surprised at this late date. I think it’s clear the
    entire thrust of the testimony from all the
    doctors was an actual rape . . . I’m aware of
    the section. I’m aware how it is plead, and
    I’m aware of these jury instructions. And I’m
    not going to sit here and pretend that I’m
    surprised and I’m going to holler foul at the
    D.A. at this late time. . . . I was aware and I
    heard [the prosecutor] and I could have
    objected but I didn’t because I think that he’s
    entitled to argue under Section 190.2
    commission or attempted commission. . . . But
    I don’t think Tracy Cain and the defense is
    [sic] prejudiced. . . .
    CAIN V. CHAPPELL                      11
    Based on counsel’s statement, the trial court did not pursue
    the issue further.
    The trial court instructed the jury that it could find the
    special circumstance if “the murder was committed while the
    defendant was engaged in or was an accomplice in the
    commission or attempted commission of a burglary[,] a
    robbery or a rape” and that “the defendant intended to kill a
    human being or intended to aid another in the killing of a
    human being[.]” The trial court also instructed the jury that
    “the special circumstance referred to in these instructions is
    not established if the burglary, robbery or rape was merely
    incidental to the commission of the murder.”
    The jury found Cain guilty of first-degree murder,
    burglary, and robbery, but acquitted Cain on the rape charge.
    The jury determined that Cain murdered Mr. Galloway during
    the commission or attempted commission of burglary and
    robbery. The jury also concluded that Cain murdered Mrs.
    Galloway during the commission or attempted commission of
    rape, burglary, and robbery.
    During the penalty phase, Anita Parker (Parker) testified
    that she was assaulted by Cain. According to Parker, Cain
    struck her in the head with a tire iron and kicked her during
    an altercation.
    Nicholas Perez (Perez), a juvenile detention officer,
    related that Cain hit him with his fist as Perez was escorting
    Cain. According to Perez, his nose was broken and he
    required six stitches above his left eye.
    David Wheat (Wheat), a state prison supervisor, testified
    on Cain’s behalf. Wheat informed the jury that, when Cain
    12                   CAIN V. CHAPPELL
    was incarcerated, he was permitted to work on a fence crew,
    a position reserved for inmates with no discipline problems.
    In his reports, Wheat rated Cain with the “highest number”
    available due to Cain’s good “work habits.”
    Reynaldo Duran (Duran), a training specialist with the
    Arizona State Department of Corrections, supervised a
    ground crew to which Cain was assigned. Duran reported that
    Cain was rated highly for his cooperation, effort, and
    responsibility.
    Wilma Cain (Wilma), Cain’s stepmother, testified that
    Cain was one of eleven children and that Cain’s mother died
    during the Jonestown massacre. Wilma described Cain as a
    “typical boy” growing up. Wilma conveyed that she was
    shocked that Cain was convicted of the Galloways’ murders
    because “it didn’t sound like Tracy[.]” Wilma related that
    Cain “got along with everybody.”
    Persey Cain (Persey), Cain’s father, also testified that
    Cain’s mother died at Jonestown. Persey described Cain as
    “a good kid” and a “typical . . . boy” during his youth. Persey
    was shocked by the crime because “it didn’t sound like Tracy
    Cain[.]” Persey related that Cain had “never been in any kind
    of problem other than . . . car theft.”
    In his penalty-phase closing argument, Cain’s counsel
    emphasized that the prosecution never demonstrated that Cain
    premeditated or planned to murder the Galloways and that
    there was “no deliberate killing.” Defense counsel also
    argued that Cain was severely impaired due to his drug use
    before the murders. His counsel maintained that “[w]e know
    he was intoxicated. Witness after witness came in and
    testified. . . . He was using crack. . . . [T]he truth is he was
    CAIN V. CHAPPELL                         13
    impaired.” Cain’s counsel contrasted the Galloways’ murders
    with specific cases of brutal, premeditated homicides. He
    asserted that, in contrast to those cases, Cain was “drug-
    impaired” and “act[ed] in a rage reaction” without any
    premeditation. He argued that Cain’s mother died when Cain
    was young; that Cain failed to finish school; and that Cain
    lacked many advantages described by the prosecution. In
    addition, defense counsel focused on positive reports Cain
    received while incarcerated.
    Defense counsel emphasized that Mendoza was never
    arrested and that Cerda did not face the death penalty or “life
    without parole.” Defense counsel remarked that Cain was
    “the only one that’s going to end up in jail for the rest of his
    life, whether he gets the gas chamber in jail or whether he
    dies in jail.” Cain’s counsel argued that life in prison was the
    proper punishment given the circumstances of life in prison.
    Finally, Cain’s counsel argued that:
    [a]n unplanned, drug-impaired act with no
    foreseen consequences has cost Tracy Cain
    his life. But . . . there still is value in his life.
    He proved it in prison before. He proved it
    with his prison records, and he can prove it
    again if you give him the chance.
    The jury sentenced Cain to death based on his first-degree
    murder of Mrs. Galloway and the multiple murder, attempted
    rape, burglary, and robbery special circumstances. The jury
    also sentenced Cain to death for the first-degree murder of
    Mr. Galloway and special circumstances involving robbery
    and burglary.
    14                   CAIN V. CHAPPELL
    On direct appeal, the California Supreme Court affirmed
    Cain’s convictions and sentence. See Cain, 
    892 P.2d at 1276
    .
    Relevant to this appeal, the Court rejected Cain’s claim that
    he received inadequate notice of the attempted rape special
    circumstance. See 
    id.
     at 1248–49. The Court held:
    We find no statutory error in the language
    used to allege the rape special circumstance.
    Although consistency in the form of charging
    special circumstances is preferable, the rape
    special circumstance as alleged satisfactorily
    charged defendant and was not misleading.
    Under the statute, the rape special
    circumstance specifically includes that the
    crime was committed during the attempted
    commission of a rape. The information
    specifically referred to the statute defining the
    special circumstance.             Under these
    circumstances, the rape special-circumstance
    allegation provided the express notice of the
    charges against defendant required under state
    law in a capital case.
    
    Id. at 1249
     (citations and internal quotation marks omitted).
    The Court emphasized Cain’s counsel’s acknowledgment that
    he was not surprised by the prosecution’s arguments and the
    jury instructions premised on attempted rape. See 
    id.
     The
    Court observed:
    since the information was sufficient to
    provide the required notice, and defendant’s
    counsel stated defendant was neither surprised
    nor prejudiced by the argument and
    instructions relating to attempted rape as the
    CAIN V. CHAPPELL                        15
    basis of the rape special circumstance,
    defendant’s constitutional right to notice of
    the charges against him was not
    compromised.
    
    Id.
     (citations omitted). The Court rejected Cain’s related
    arguments that the information was constructively amended
    to include attempted rape, and that his counsel was ineffective
    in failing to object to the attempted rape special circumstance.
    See 
    id.
     at 1249 n.17.
    Cain subsequently sought federal habeas relief. In Claim
    1(6) of his third amended habeas petition, Cain asserted that
    he did not receive constitutionally adequate notice of the
    attempted rape special circumstance and that the prosecution
    engaged in prosecutorial misconduct when it argued the
    special circumstance to the jury. In Claim 3(7), Cain
    contended that his constitutional rights were violated when
    the state trial court instructed the jury on the attempted rape
    special circumstance.
    The district court denied Cain’s claims, but granted a
    certificate of appealability “as to Claims 1(6) and 3(7)
    regarding the constitutional adequacy of Petitioner’s notice of
    the attempted rape special circumstance charge.”
    Cain filed a timely amended notice of appeal.
    II. STANDARDS OF REVIEW
    “We review de novo the district court’s denial of [Cain’s]
    petition for a writ of habeas corpus and review its factual
    findings for clear error. . . .” Smith v. Ryan, 
    823 F.3d 1270
    ,
    1278 (9th Cir. 2016), cert. denied, 
    137 S. Ct. 1283
     (2017)
    16                   CAIN V. CHAPPELL
    (citation omitted). Because Cain filed his federal habeas
    petition after April 24, 1996, the Antiterrorism and Effective
    Death Penalty Act of 1996 (AEDPA) applies. See Mann v.
    Ryan, 
    828 F.3d 1143
    , 1151 (9th Cir. 2016) (en banc). Under
    the AEDPA, habeas relief is warranted if the state court’s
    adjudication of Cain’s claims “was contrary to or involved an
    unreasonable application of, clearly established Federal law,
    as determined by the Supreme Court of the United States.”
    
    28 U.S.C. § 2254
    . We may also grant relief if the state
    court’s decision “was based on an unreasonable
    determination of the facts in light of the evidence presented
    in the State court proceeding.” 
    Id.
    “An adjudication is contrary to clearly established
    Supreme Court precedent if the state court arrives at a
    conclusion opposite to that reached by the Supreme Court on
    a question of law or if the state court decides a case
    differently than the Supreme Court has on a set of materially
    indistinguishable facts.” Mann, 828 F.3d at 1151 (citation,
    alterations, and internal quotation marks omitted). “It is an
    unreasonable application of clearly established Supreme
    Court precedent if the state court identifies the correct
    governing legal principle from the Supreme Court’s decisions
    but unreasonably applies that principle to the facts of the
    prisoner’s case.” Id. (citation and internal quotation marks
    omitted). “An unreasonable application of federal law is
    different from an incorrect application of federal law.” Id.
    (citation and alteration omitted) (emphases in the original).
    “The federal habeas court may not issue the writ simply
    because that court concludes in its independent judgment that
    the relevant state-court decision applied clearly established
    federal law erroneously or incorrectly.” Id. (citation and
    internal quotation marks omitted).         “A state court’s
    adjudication is unreasonable only if the federal habeas court
    CAIN V. CHAPPELL                              17
    concludes that no fairminded jurist could conclude that the
    adjudication was consistent with established Supreme Court
    precedent. . . .” Id. at 1151–52 (citation omitted).
    III.       DISCUSSION
    A. Certified Issue—Adequate Notice                       of    the
    Attempted Rape Special Circumstance
    Cain contends that habeas relief is warranted because he
    did not receive adequate notice of the attempted rape special
    circumstance and the prosecutor improperly relied on an
    attempted rape special circumstance that was not charged in
    the information.
    The Supreme Court has clearly established that a
    defendant must receive adequate notice of the charges against
    him. “No principle of procedural due process is more clearly
    established than that notice of the specific charge, and a
    chance to be heard in a trial of the issues raised by that
    charge, if desired, are among the constitutional rights of every
    accused in a criminal proceeding in all courts, state or
    federal. . . .” Cole v. Arkansas, 
    333 U.S. 196
    , 201 (1948)
    (citation omitted).2
    2
    Citing Lopez v. Smith, 
    135 S. Ct. 1
     (2014), the State contends that
    Supreme Court precedent has not clearly established the requirement of
    adequate notice of the specific theory under which a felony-murder special
    circumstance would be proved. In Lopez, the Supreme Court reversed our
    grant of habeas relief premised on failure to provide adequate notice of an
    aiding-and-abetting theory at trial. See id. at 3. The Supreme Court
    faulted us for granting relief because the prosecutor focused on another
    theory at trial, although the defendant previously received notice of
    potential liability on an aiding-and-abetting theory. See id. The Supreme
    Court observed that it was not disputed that the defendant “received
    18                       CAIN V. CHAPPELL
    Relying on Gautt v. Lewis, 
    489 F.3d 993
     (9th Cir. 2007),
    Cain maintains that he was not properly informed of the
    attempted rape special circumstance in the second amended
    information. However, Cain’s reliance on Gautt is entirely
    misplaced. In Gautt, we granted habeas relief because the
    information failed to inform the petitioner that he was
    charged with a specific sentencing enhancement that
    significantly increased his potential sentence. See 
    id. at 998
    .
    We emphasized that “the pivotal fact” in that case was the
    complete omission of any mention of the specific statute in
    the information. 
    Id. at 999
    . We observed that the charged
    and uncharged conduct were dramatically different in that the
    charged statute required “only that the defendant personally
    used a firearm,” while the uncharged statute required that “the
    defendant personally discharged a firearm.” 
    Id.
     (emphases
    and internal quotation marks omitted). Moreover, the
    charged offense was punishable by a ten-year sentencing
    enhancement and the uncharged offense was governed by a
    “twenty-five-year-to-life . . . enhancement.” 
    Id.
    Further compounding the error in Gautt, “the trial court
    confused the two statutes when time came to instruct the
    jury” and erroneously informed the jury about the additional
    elements unique to the uncharged offense. 
    Id.
     The parties
    did not object to the trial court’s instruction and the
    prosecution relied on the instruction in its closing argument.
    See 
    id.
     at 999 n.5, 1000. Additionally, “[t]he pattern of
    adequate notice of the possibility of conviction on an aiding-and-abetting
    theory.” 
    Id.
     Therefore, Lopez is distinguishable and does not show that
    the requirement of adequate notice is not clearly established. However,
    we need not—and do not—decide whether the requirement of notice of
    the prosecution’s theory of a felony-murder special circumstance is
    otherwise clearly established, as we conclude that such notice was
    provided here.
    CAIN V. CHAPPELL                        19
    statutory confusion and conflation that began with the trial
    judge’s instructions to the jury repeated itself when the jury
    completed its verdict form. . . .” 
    Id. at 1000
    . Specifically, the
    verdict form cited the charged statute, but listed elements
    unique to the uncharged statute. See 
    id. at 1001
    . Finally, the
    abstract of judgment “listed . . . the ten-year enhancement . . .
    as the basis for a sentence enhancement,” but “also stated that
    [the petitioner’s] sentence was to be enhanced twenty-five
    years to life-the applicable enhancement under” the
    uncharged statute. 
    Id.
    In concluding that the state appellate court unreasonably
    determined that the petitioner received adequate notice, we
    emphasized:
    This is not a situation . . . in which the
    numerical citation was incorrect but the verbal
    description of the crime corresponded to the
    crime of which the defendant was convicted.
    Nor is this a situation in which citation to one
    statute necessarily encompassed another
    lesser-included offense, thus sufficiently
    putting the defendant on notice of the need to
    defend against both statutes. . . .
    
    Id. at 1007
     (citation omitted). We criticized the state
    appellate court because it “never actually scrutinized the
    information to see if it contained any factual allegations that
    would have sufficiently informed [the petitioner]” of the
    uncharged conduct. 
    Id. at 1005
    . The state appellate court
    also never explained “how exactly this triumvirate-the
    evidence, the jury instructions, and the closing argument-
    provided [the petitioner] with sufficient notice.” 
    Id.
     (footnote
    reference omitted). Additionally, the state appellate court
    20                   CAIN V. CHAPPELL
    “did not acknowledge the multiple discrepancies that existed
    between the information, the jury instructions, the verdict
    form, and the ultimate sentence.” 
    Id. at 1006
    . Based on the
    state appellate court’s “critical oversight,” we opined that the
    petitioner’s “constitutional right to be informed of the charges
    against him was violated by this stark discrepancy between
    the crime charged and the crime of conviction. . . .” 
    Id. at 1008
    .
    Although we eschewed express reliance on other sources,
    such as trial evidence, jury instructions, and closing
    arguments, to assess whether the petitioner received adequate
    notice of the charges, see 
    id.
     at 1008–09, we nonetheless
    “assume[d]-without deciding-that such sources can be parsed
    for evidence of notice to the defendant.” 
    Id. at 1010
    .
    Nevertheless, we concluded that, even considering these
    sources, the petitioner received constitutionally inadequate
    notice. See 
    id.
     We observed that the trial evidence did not
    focus on the petitioner’s intent as required under the
    uncharged statute; the jury instructions were muddled and
    provided minimal indication that the uncharged offense was
    at issue; and the prosecution’s closing argument was too
    flawed regarding the intent required for the uncharged offense
    to provide adequate notice of the uncharged offense. See 
    id.
    at 1011–13.
    Unlike in Gautt, the California Supreme Court in this case
    did not unreasonably conclude that Cain received
    constitutionally adequate notice of the attempted rape special
    circumstance. The second amended information did not
    explicitly charge Cain with an attempted rape special
    circumstance, but alleged that Cain “engaged in the
    commission of rape in violation of Penal Code Section 261,
    within the meaning of Penal Code Section 190.2(a)(17).”
    CAIN V. CHAPPELL                        21
    The provisions of 
    Cal. Penal Code § 190.2
    (a)(17) in effect at
    the time of Cain’s trial specified that a special circumstance
    may be based on the defendant’s attempted commission of
    rape:
    The penalty for a defendant found guilty of
    murder in the first degree shall be death or
    confinement in state prison for a term of life
    without the possibility of parole in any case in
    which one or more of the following special
    circumstances has been charged and specially
    found . . . to be true: The murder was
    committed while the defendant was engaged
    in or was an accomplice in the commission of,
    attempted commission of, or the immediate
    flight after committing or attempting to
    commit . . . Rape in violation of Section 261.
    
    Cal. Penal Code § 190.2
    (a)(17)(iii)(West 1987). Thus, the
    allegations premised on 
    Cal. Penal Code § 190.2
    (a)(17)
    sufficiently apprised Cain that the special circumstance
    explicitly applied to rape and to attempted rape. See Gautt,
    
    489 F.3d at
    1003–04 (explaining that “the charging document
    need not contain a citation to the specific statute at issue; the
    substance of the information, however, must in some
    appreciable way apprise the defendant of the charges against
    him so that he may prepare a defense accordingly”) (footnote
    reference omitted). Moreover, as described in Gautt, Cain’s
    case is “a situation in which citation to one statute necessarily
    encompassed another lesser-included offense,” thereby
    providing additional notice to Cain of the attempted rape
    special circumstance. 
    Id. at 1007
     (citation omitted); see also
    People v. Atkins, 
    25 Cal. 4th 76
    , 88 (2001) (noting that
    attempted rape is a lesser included offense of rape under
    22                        CAIN V. CHAPPELL
    California law).      Importantly, Cain’s counsel fully
    acknowledged that he was not surprised by the prosecution’s
    reliance on attempted rape as a special circumstance, and did
    not argue that Cain was prejudiced by the prosecution’s
    reliance on attempted rape as a special circumstance.
    The California Supreme Court reasonably concluded that
    Cain received adequate notice of the special circumstance.
    Thus, Cain is not entitled to habeas relief on his claim that he
    failed to receive adequate notice of the special circumstance
    or his claim that the prosecutor improperly presented the
    special circumstance to the jury. Cf. Gautt, 
    489 F.3d at 1007
    .3
    B. Uncertified Claims
    “To expand the certificate of appealability, [Cain] must
    make a substantial showing of the denial of a constitutional
    3
    Any error in failing to provide Cain adequate notice of the attempted
    rape special circumstance was likely harmless. See Gautt, 
    489 F.3d at
    1016–17 (applying harmless error review). Cain does not challenge the
    jury’s verdict that he was death-eligible based on the multiple murder,
    burglary, and robbery special circumstances. Due to the weight of the
    aggravating circumstances and the unchallenged special circumstances,
    “we are not left with grave doubt about whether the jury’s consideration
    of the [allegedly] invalid special circumstance[] had a substantial and
    injurious effect on the jury’s verdict,” particularly as “the presentation of
    evidence and argument during the penalty phase would not have been
    materially different.” Beardslee v. Brown, 
    393 F.3d 1032
    , 1044 (9th Cir.
    2004). The jury independently considered the special circumstances
    applicable to Mr. Galloway’s murder, which did not implicate the
    attempted rape special circumstance. See Brown v. Sanders, 
    546 U.S. 212
    , 223–25 (2006) (upholding capital sentence against a constitutional
    challenge where a California jury considered four special circumstances
    findings, two of which were later invalidated).
    CAIN V. CHAPPELL                   23
    right, accomplished by demonstrating that jurists of reason
    could disagree with the district court’s resolution of his
    constitutional claims . . .” Turner v. McEwen, 
    819 F.3d 1171
    ,
    1178 n.2 (9th Cir. 2016) (citation and internal quotation
    marks omitted). Although we conclude that Cain has met that
    standard for the claims discussed below, we deny each of the
    claims on the merits.
    1. Guilt-Phase Ineffective Assistance of Counsel
    “Ineffective assistance of counsel claims are evaluated
    according to the familiar standard set forth in Strickland.”4
    Mann, 828 F.3d at 1152. “To receive relief under this
    standard, first, the defendant must show that counsel’s
    performance was deficient.” Id. (citation, alteration, and
    internal quotation marks omitted). “Second, the defendant
    must show that the deficient performance prejudiced the
    defense.” Id. (citation omitted). “Unless a defendant makes
    both showings, it cannot be said that the conviction or death
    sentence resulted from a breakdown in the adversary process
    that renders the result unreliable.” Id. (citation omitted).
    “Judicial scrutiny of counsel’s performance must be highly
    deferential, and a court must indulge a strong presumption
    that counsel’s conduct falls within the wide range of
    reasonable professional assistance.” Id. (citation and internal
    quotation marks omitted).
    a. Counsel’s Concession of Cain’s Guilt
    Cain contends that he was deprived of effective assistance
    of counsel because his counsel conceded at trial that Cain had
    the specific intent to commit burglary. Cain maintains that
    4
    Strickland v. Washington, 
    466 U.S. 668
     (1984).
    24                    CAIN V. CHAPPELL
    his counsel pursued an ill-informed strategy in admitting
    Cain’s guilt on the burglary counts because Cain never
    confessed to burglary.
    The California Supreme Court denied this claim on direct
    review. See Cain, 
    892 P.2d at 1241
    . The Court concluded:
    Defendant also appears to argue his counsel’s
    concessions were an incompetent tactical
    choice. We disagree. Defendant admitted to
    the police on tape he was inside the victims’
    residence when they were murdered and he
    entered the residence with the intent to steal
    money. His taped statement was played to the
    jury. Defendant’s admission that he entered
    the residence for the purpose of stealing
    money proved his specific intent to commit
    burglary. Under the felony-murder rule, his
    commission of burglary, together with the
    killing of the victims in the commission of the
    burglary, made him liable for murder. Under
    these circumstances, we cannot conclude
    counsel was ineffective for candidly admitting
    defendant’s guilt on these counts while
    vigorously arguing against defendant’s guilt
    of the special circumstances.
    
    Id.
     (citations omitted).
    “In assessing adequacy of representation, we are required
    not simply to give the attorneys the benefit of the doubt, but
    to affirmatively entertain the range of possible reasons
    defense counsel may have had for proceeding as he did. . . .”
    Gallegos v. Ryan, 
    820 F.3d 1013
    , 1030 (9th Cir. 2016) (citing
    CAIN V. CHAPPELL                       25
    Cullen v. Pinholster, 
    131 S. Ct. 1388
    , 1407 (2011)
    (alterations, and internal quotation marks omitted). At trial,
    Cain’s counsel “was confronted with an exceedingly difficult
    task in formulating a defense” given Cain’s admissions
    during his taped confession and the evidence against him. Id.
    at 1018. We have recognized that:
    As a strategic matter, disputing [the
    petitioner’s] involvement in the crime would
    have been unpersuasive given the evidence,
    and [counsel’s] acknowledgment of his
    client’s guilt in the killing could reasonably
    have been intended to establish credibility
    with the jury in the face of horrendous
    facts. . . .
    Id. at 1027 (citations omitted). In light of the evidence
    against Cain and his admissions of guilt, Cain “suggests no
    alternate theory, let alone one more likely to succeed than the
    one chosen” by his counsel. Id. at 1029. Indeed, the inability
    of Cain’s counsel “to avoid a conviction of a predicate
    offense was unrelated to any allegedly deficient conduct” and
    convincing the jury that Cain was not guilty of felony murder
    “would have been an exceedingly difficult task for even the
    most skilled attorney.” Id. at 1035. Rather, Cain’s counsel
    focused on Cain’s defense theory that, although involved in
    the crimes, he never participated in the actual killings of the
    Galloways and lacked the intent to kill required for the jury
    to find any of the alleged special circumstances to be true.
    Relying on this theory, Cain’s counsel could have made a
    reasonable strategic calculation not to contest the strong
    evidence of Cain’s guilt for felony murder, but instead, to
    focus on avoiding a capital sentence for Cain. See Florida v.
    Nixon, 
    543 U.S. 175
    , 190–92 (2004). Thus, “[a]bsent any
    26                     CAIN V. CHAPPELL
    defense that could have promised a greater chance of success,
    we cannot conclude that [Cain’s counsel] was deficient for
    choosing the one he did. The choice to pursue a bad strategy
    makes no comment on an attorney’s judgment where no
    better choice exists.” Gallegos, 820 F.3d at 1029 (citation
    and internal quotation marks omitted).
    Cain also asserts that the California Supreme Court’s
    determination that Cain admitted entering the Galloways’
    residence with intent to commit burglary was unreasonable.
    According to Cain, he never admitted that he entered the
    Galloways’ home to steal money. However, even if the
    California Supreme Court was wrong that the tape recordings
    of Cain’s police interview include an explicit admission that
    he went into the Galloway’s home with an intent to steal on
    the night of the killings, there remains sufficient evidence for
    the court to have concluded that Cain harbored such an intent.
    Indeed, on the tape Cain admitted that he did want to steal
    from the Galloways the next morning, and testimony was
    offered that he did (and did intend to) steal from them the
    night before as well. “[Section] 2254(d)(2) requires that we
    accord the state trial court substantial deference.” Brumfield
    v. Cain, 
    135 S. Ct. 2269
    , 2277 (2015) “If reasonable minds
    reviewing the record might disagree about the finding in
    question, on habeas review that does not suffice to supersede
    the [state] court’s determination. . . .” 
    Id.
     (citation, alteration,
    and internal quotation marks omitted). The record reflects
    that Cain admitted to being inside the Galloways’ residence
    during the murders. The trial testimony also reflected that
    Cain suggested to Mendoza that they burglarize the Galloway
    residence so that he could “get thousands,” and that he
    possessed a large sum of money after the murders. The state
    court’s denial of this claim was not contrary to, nor did it
    involve an unreasonable interpretation of Strickland. See
    CAIN V. CHAPPELL                       27
    Strickland, 
    466 U.S. at 690
     (clarifying that counsel’s tactical
    decisions are “virtually unchallengeable”).
    b. Failure To Object To Attempted Rape
    Special Circumstance
    Cain contends that his counsel was ineffective because he
    did not object to the attempted rape special circumstance.
    Rejecting Cain’s claim on direct review, the California
    Supreme Court concluded:
    We doubt, moreover, whether the principal
    error alleged, i.e., counsel’s failure to claim
    surprise and prejudice where there was none,
    could be considered constitutionally deficient
    performance even if prejudicial. Effective
    assistance does not require counsel to refrain
    from frankness and honesty in his or her
    dealings with the court. . . .
    Cain, 
    892 P.2d at
    1249 n.17 (citations and internal quotation
    marks omitted). The district court ruled that the state court
    “was not unreasonable in holding that [Cain] had adequate
    notice” of the attempted rape special circumstance, or in
    finding counsel’s performance to be adequate. We agree
    because counsel’s performance did not fall below an
    objective standard of reasonableness in acknowledging the
    portent of the state statutory provisions. See United States v.
    Cronic, 
    466 U.S. 648
    , 656 n.19 (1984) (observing that “the
    Sixth Amendment does not require that counsel do what is
    impossible or unethical. If there is no bona fide defense to
    the charge, counsel cannot create one and may disserve the
    28                   CAIN V. CHAPPELL
    interests of his client by attempting a useless charade.”)
    (citation omitted).
    c. Failure To Investigate and Present
    Voluntary Intoxication and Mental Health
    Defenses
    Cain describes his counsel as ineffective because he failed
    to investigate and present a voluntary intoxication defense
    during the guilt phase of the trial, premised on Cain’s cocaine
    use and neurological deficits.
    On direct review, the California Supreme Court observed:
    Defendant further contends trial counsel did
    not present even a minimally effective
    argument on the undisputed use of alcohol
    and drugs on the night in question. Counsel
    did briefly argue there was no intent to kill
    because defendant was obviously under the
    influence of alcohol and drugs. Belaboring
    this point would have risked appearing to
    concede defendant was the killer, which
    would have conflicted with and detracted
    from counsel’s primary argument, that
    (consistent with his police statement)
    defendant had not killed anyone, planned to
    kill anyone or assisted in killing anyone in the
    burglary. In addition, almost no evidence was
    presented regarding the quantity and effects of
    the drugs consumed by defendant on the night
    of the murders or the effect consumption had
    on defendant.        Defendant thus cannot
    demonstrate either deficient performance or
    CAIN V. CHAPPELL                              29
    prejudice in his counsel’s argument relating to
    this subject.
    Cain, 
    892 P.2d at 1255
     (internal quotation marks omitted).
    The California Supreme Court summarily denied Cain’s more
    developed ineffective assistance of counsel claim on habeas
    review, that was not limited to diminished capacity on the
    night of the murders.5
    The district court held that the California Supreme
    Court’s summary denial of Cain’s claim was not
    unreasonable because “[t]he court may have reasonably
    concluded on habeas review that counsel reasonably relied on
    expert opinion in not presenting an intoxication or diminished
    capacity defense.”
    Cain’s counsel was provided a psychological evaluation
    from Dr. Theodore Donaldson prior to trial. According to Dr.
    Donaldson, Cain “denied the use of illegal drugs or alcohol.”
    Additionally, the district court referenced a report from Dr.
    Ronald Siegel concerning tests of Cain’s hair for “the
    5
    Cain maintains that the district court erred in basing its denial of
    habeas relief on the California Supreme Court’s summary denial. Cain
    asserts that the California Supreme Court’s decision on direct appeal is the
    operative decision under the AEDPA. However, the district court only
    referenced the summary denial for claims not addressed by the Supreme
    Court on direct review. We agree with the district court that the operative
    decision is the California Supreme Court’s summary denial because its
    decision on direct review did not address Cain’s more fully developed
    claim asserting ineffective assistance for failure to propose intoxication
    defense instructions for the special circumstance allegations. See Cain,
    
    892 P.2d at 1255
    ; see also Ayala v. Chappell, 
    829 F.3d 1081
    , 1094–95
    (9th Cir. 2016).
    30                   CAIN V. CHAPPELL
    presence of controlled substances.” As the district court
    articulated:
    Dr. Siegel’s report, dated May 9, 1988, states
    that he interviewed and examined [Cain] on
    April 17, 1988. Trial counsel delivered his
    guilt-phase closing argument on April 20,
    1988. Dr. Siegel’s report states, “Prior to the
    events of October 1986, [Cain] reported to me
    that he was high on beer and marijuana, but
    denied recent use of other substances. The
    analyses of hair samples indicated no
    detectable amounts of marijuana, cocaine, or
    other substances for the past 2.5 years . . .”
    (internal quotation marks omitted). Thus, it appears that
    Cain’s counsel did consult experts to investigate the efficacy
    of intoxication and mental health defenses. And it is not
    ineffective for counsel to refrain from pursuing jury
    instructions that have no basis in the evidence. See
    Clabourne v. Lewis, 
    64 F.3d 1373
    , 1381–82 (9th Cir. 1995).
    Accordingly, this claim fails on the merits. See Strickland,
    
    466 U.S. at 689
     (noting “the wide latitude counsel must have
    in making tactical decisions”).
    2. Penalty-Phase       Ineffective    Assistance     of
    Counsel
    Cain asserts that his counsel was ineffective in failing to
    investigate and present mitigating evidence based on Cain’s
    substance abuse, neurological and psychological problems,
    and family background.
    CAIN V. CHAPPELL                        31
    “[B]ecause the state court summarily denied [Cain’s]
    penalty phase ineffective assistance claims, we must
    determine what arguments or theories could have supported
    the state court’s decision; and then we must ask whether it is
    possible fairminded jurists could disagree that those
    arguments or theories are inconsistent with the holding in a
    prior decision of the Supreme Court.” Gallegos, 820 F.3d at
    1037 (citation, alterations, and internal quotation marks
    omitted). In the context of penalty-phase ineffective
    assistance of counsel, we have acknowledged that “the
    standards created by Strickland and § 2254(d) are both highly
    deferential, and when the two apply in tandem, review is
    doubly so.” Cummings v. Martel, 
    796 F.3d 1135
    , 1148 (9th
    Cir. 2015) (citation and alteration omitted). “The multiple
    layers of deference create a standard that is difficult to meet,
    and even a strong case for relief does not mean the state
    court’s contrary conclusion was unreasonable. . . .” 
    Id.
    (citation and internal quotation marks omitted).
    “The first step in determining whether counsel’s deficient
    performance prejudiced the defendant at the penalty phase is
    evaluating the totality of the available mitigation
    evidence. . . .” Andrews v. Davis, Nos. 09-99012, 09-99013,
    — F.3d —, 
    2017 WL 3255161
    , at *16 (9th Cir. Aug. 1, 2017)
    (citation and internal quotation marks omitted). After the
    mitigating evidence is identified, a court weighs the strength
    of the mitigating evidence “by assessing its likely impact on
    a jury. This weighing process includes evaluating whether its
    impact on the jury might be aggravating rather than
    mitigating.” Id. at *17. Courts may “consider the fact that
    mitigation may be in the eye of the beholder, and juries may
    find that some evidence offered as mitigation cuts the other
    way.” Id. (citation and internal quotation marks omitted).
    We have also noted the Supreme Court’s observation that “on
    32                   CAIN V. CHAPPELL
    one hand, a jury could react with sympathy over the tragic
    childhood of the defendant, while on the other hand, the same
    testimony could establish the defendant’s unpredictable
    propensity for violence that resulted in murder.” Id. (citation,
    alteration, and internal quotation marks omitted). “Similarly,
    evidence of mental and emotional problems might suggest an
    increased likelihood that a defendant would be dangerous in
    the future. . . .” Id. (citation omitted).
    “The second step in determining whether counsel’s
    deficient performance prejudiced the defendant at the penalty
    phase is evaluating the weight of the aggravating evidence
    and any rebuttal evidence that the government could have
    adduced had the mitigating evidence been introduced.” Id.
    (citations omitted). “Aggravating evidence may include
    evidence relating to the circumstances of the crime. Thus in
    Strickland, the Court found the aggravating evidence to be
    overwhelming where the defendant had repeatedly stabbed
    the three murder victims during a robbery. . . .” Id. (citation
    and internal quotation marks omitted). “Rebuttal evidence
    may also directly undermine the value of the mitigation
    evidence.” Id. at *18. “For example, the Supreme Court
    [has] noted . . . . that it would be of questionable mitigating
    value for defense counsel to introduce expert testimony
    diagnosing a defendant with bipolar mood disorder and
    seizure disorders, because such evidence would invite rebuttal
    by a state expert, who could reject the diagnosis of bipolar
    disorder and offer a different diagnosis of antisocial
    personality disorder.” Id. (quoting Pinholster, 
    131 S. Ct. at 1410
    ) (internal quotation marks omitted).
    The third and final step in assessing prejudice at the
    penalty phase “is to reweigh the evidence in aggravation
    against the totality of available mitigating evidence, in order
    CAIN V. CHAPPELL                        33
    to determine whether there is a reasonable probability that,
    absent the errors, the sentencer would have concluded that the
    balance of aggravating and mitigating circumstances did not
    warrant death.” 
    Id.
     (citations, alteration, and internal
    quotation marks omitted). “A reasonable probability is a
    level of probability that undermines confidence in the
    outcome. . . .” 
    Id.
     (citation, alteration, and internal quotation
    marks omitted). “The likelihood of a different outcome must
    be substantial, not just conceivable.” 
    Id.
     (citation and
    alteration omitted). “The Court has found a reasonable
    probability of a different outcome when scant and weak
    aggravating evidence could have been presented in rebuttal to
    strongly mitigating evidence.” 
    Id.
     (citation omitted). “By
    contrast, the Court has found no prejudice when the
    aggravating evidence is overwhelming, even though the
    mitigating evidence is strong.” 
    Id.
     (citation omitted).
    Prior to trial, defense counsel retained Dr. Donaldson to
    conduct a psychological evaluation. Dr. Donaldson observed
    that “there were no indications of a thought disorder.” Dr.
    Donaldson conveyed that:
    For the most part, results of psychological
    testing were highly consistent among tests and
    with the clinical impression. There were no
    indications of significant psychopathology nor
    indications of significant ego deficits or
    inadequacies in reality testing. The tests are
    most remarkable in a general lack of
    indications of serious psychological problems.
    Testing did indicate the existence of
    significant situational stress . . . Mr. Cain
    appears as an emotionally unstable personality
    34                  CAIN V. CHAPPELL
    characterized by poorly controlled anger and
    a tendency to temper outburst.
    Dr. Donaldson concluded:
    Mr. Cain displays many of the features of
    sociopathy, although that is too simple a
    diagnosis, and there are also hysteroid and
    narcissistic features as well. His antisocial
    acting out appears to have not started until he
    was in his late teens, but indications are that
    this acting out has increased in frequency and
    severity at a rapid rate. This suggested the
    possibility of central nervous system
    dysfunction, but none was found in this
    evaluation, although that part of the
    evaluation was somewhat limited.
    Nonetheless, there were certainly no
    indications of gross brain disorder. Mr. Cain
    seems predisposed to episodic and violent
    acting out, and there are no indications in this
    evaluation that such episodes are the result of
    dissociation or psychosis.
    Based on Dr. Donaldson’s evaluation, Cain’s counsel may
    have seen limited utility in presenting a defense premised on
    Cain’s mental state. Dr. Donaldson referred to Cain’s
    “sociopathy” and predisposition to “episodic and violent
    acting out” that were not the result of any “gross brain
    disorder” or psychosis. It would not have been unreasonable
    for the California Supreme Court to determine that Cain’s
    counsel did perform an investigation and relied on Dr.
    Donaldson’s evaluation in deciding to emphasize Cain’s
    positive conduct during past incarcerations and his lack of
    CAIN V. CHAPPELL                       35
    premeditation rather than Cain’s troubled background and
    psychological impairments.
    Cain argues that his counsel also unreasonably failed to
    follow up on certain “red flags” raised in Dr. Donaldson’s
    report that “suggested the possibility of central nervous
    dysfunction,” even though “none was found in [Dr.
    Donaldson’s] evaluation” and Dr. Donaldson concluded that
    there were “certainly no indications of gross brain disorder.”
    In support, Cain submitted a declaration from Dr. Donaldson
    more than a decade later stating that he “recall[ed] advising
    [Cain’s counsel] that he might want to have Mr. Cain
    examined by a neuropsychologist.” Given Dr. Donaldson’s
    general difficulty remembering the details of his interactions
    with Cain’s counsel, it would be reasonable to doubt whether
    that recommendation was ever made. But even if Dr.
    Donaldson’s assertion is accepted as true, the state court
    could reasonably conclude that not all competent attorneys
    would pursue additional expert testing based on Dr.
    Donaldson’s mere suggestion that certain dysfunctions “may”
    or “might” exist, especially where Dr. Donaldson’s own
    report found no evidence of such dysfunctions. See, e.g.,
    Leavitt v. Arave, 
    646 F.3d 605
    , 609–10 (9th Cir. 2011)
    (concluding that an attorney was not required to pursue “red
    flags” in a medical report that could only be ruled out through
    further testing, given the other conclusions in the report that
    other causes were more likely); see also West v. Ryan,
    
    608 F.3d 477
    , 488–89 (9th Cir. 2010) (same); Pinholster, 
    131 S. Ct. at
    1406–07 (acknowledging that defense counsel may
    reasonably determine that a particular investigation is
    unnecessary).
    Admittedly, the social and psychological evaluations
    conducted after Cain’s conviction indicate that Cain was not
    36                        CAIN V. CHAPPELL
    a typical child. For example, a social history and evaluation
    conducted by Dr. Stanley Huey reflects the troubled criminal
    and psychological history of Cain’s mother who died at
    Jonestown, the difficulties that Cain’s stepmother had in
    taking care of the family’s numerous children; the severe
    beatings and punishment meted out by his stepmother; Cain’s
    untreated head injury in his childhood; and Cain’s learning
    disabilities. Although Cain’s social and psychological
    histories may have provided potential mitigating
    circumstances, the additional background information is not
    sufficiently compelling to warrant habeas relief. See
    Cummings, 796 F.3d at 1148–50. Additionally, Cain’s social
    and psychological histories could have “opened the door to
    inflammatory and prejudicial aggravating evidence.” Id. at
    1150. Moreover, in light of the aggravating circumstances
    involving the brutal murders of a couple in their sixties, the
    thirteen blows administered to Mr. Galloway, the attempted
    rape of Mrs. Galloway, and Cain’s prior violent acts, the state
    court’s denial of this claim was not unreasonable. See
    Andrews, 
    2017 WL 3255161
    , at *18 (observing that “the
    likelihood of a different result must be substantial, not just
    conceivable” to establish prejudice) (citation and alteration
    omitted); see also Strickland, 
    466 U.S. at 687
     (clarifying that
    to establish prejudice a defendant must show that he was
    deprived of a fair trial). For the same reason, Cain’s
    intoxication and substance abuse mitigation claims lack
    merit.6
    6
    Cain also contends that the district court erroneously denied his
    request for an evidentiary hearing because Cain demonstrated a prima
    facie case that the state court unreasonably rejected his ineffective
    assistance of counsel claim. However, “so long as we are reviewing a
    petitioner’s claim under AEDPA, our review is limited to the facts before
    the state court and the petitioner is not entitled to an evidentiary hearing
    CAIN V. CHAPPELL                               37
    3. Atkins7 Claim
    Cain asserts that the California Superior Court
    unreasonably denied his Atkins claim because Cain
    demonstrated that he was intellectually disabled based on an
    IQ of 71 when considering Cain’s adaptive deficits and the
    Flynn effect.8
    The California Supreme Court issued an order to show
    cause why Cain’s death sentence should not be vacated under
    Atkins. In the subsequent Superior Court hearing on the order
    to show cause, two psychologists testified concerning Cain’s
    alleged intellectual disability—Dr. Ricardo Weinstein and Dr.
    Efrain Beliz, Jr. Dr. Weinstein had evaluated approximately
    thirty-five individuals to determine if they were intellectually
    disabled. After administering several tests to Cain, Dr.
    Weinstein determined that Cain had a full scale IQ score of
    71. Dr. Weinstein also relied on a prior test from another
    psychologist reflecting that Cain had a full scale IQ score of
    75. Based on his consideration of the Flynn effect, Dr.
    Weinstein deducted points from Cain’s IQ score and
    in federal court.” Murray v. Schriro, 
    746 F.3d 418
    , 441 (9th Cir. 2014)
    (citation omitted).
    7
    Atkins v. Virginia, 
    536 U.S. 304
     (2002).
    8
    “The basic premise of the Flynn effect is that because average IQ
    scores increase over time, a person who takes an IQ test that has not
    recently been normed against a representative sample of the population
    will receive an artificially inflated IQ score.” Smith v. Ryan, 
    813 F.3d 1175
    , 1184 (9th Cir. 2016), as corrected (citation omitted) (emphasis in
    the original). “This is because IQ scores are based on a normal
    distribution curve, and thus an individual’s score is meaningful only in
    relation to the scores of the other people who took the same test. . . .” 
    Id.
    (citation omitted).
    38                   CAIN V. CHAPPELL
    determined that Cain was “mildly mentally retarded.” Dr.
    Weinstein also relied on Cain’s school records in assessing
    Cain’s adaptive behavioral deficits. The records reflected
    that Cain had several learning disabilities, particularly in the
    areas of verbal abilities, reasoning, and mathematics. Dr.
    Weinstein opined that:
    from childhood through the time of his current
    incarceration, Mr. Cain qualified for a
    diagnosis of mild Mental Retardation. IQ
    scores fell at or below the 70 to 75 range,
    which meets the AAMR [American
    Association on Mental Retardation] definition
    of intellectual functioning two standard
    deviations or more below normal. Moreover,
    Mr. Cain’s adaptive functioning met the
    AAMR standards for mental retardation.
    Dr. Beliz had evaluated approximately 6,000 individuals
    to determine if they were intellectually disabled. Dr. Beliz
    observed that Cain “has never been diagnosed in the past with
    fetal alcohol syndrome or affect, alcohol or drug dependency,
    or significant brain damage.” According to Dr. Beliz, in
    1977, Cain was administered the Peabody Picture Vocabulary
    Test and received “a standard score of 85, which is the low
    average range”; a Culture Fair Scale II test with a score of 75;
    and a Wechsler Intelligence Scale for Children with a “full
    scale score” of 78 and a “performance IQ score of 93.” Dr.
    Beliz opined that “the performance IQ score of 93 is
    significant because one could not be mentally retarded and
    achieve this score on this part of this test.” Dr. Beliz also
    noted that Cain received an IQ score of 64 on one test
    administered in April, 1977.
    CAIN V. CHAPPELL                        39
    Dr. Beliz observed that, in 1980, Cain received a score of
    73 on the Peabody Picture Vocabulary Test and a score of 87
    on the Culture Fair Scale II Test. The records indicated that
    there was “no evidence of organic brain problems or
    impairments in cerebral functioning,” although Cain suffered
    from learning disabilities. Dr. Beliz related that Cain “was
    never determined to be mentally retarded” in his school
    testing.
    Dr. Beliz determined that Cain “expresses himself well
    and is able to carry on adult conversation. [Cain] was able to
    follow instructions, listen attentively for at least 30 minutes,
    and carry out instructions.” Cain also “speaks in full
    sentences, asks appropriate questions about his environment,
    uses regular past tense verbs, modulates his tone of voice
    appropriately and provides complex directions to others.”
    During Dr. Beliz’s interviews, Cain “did not become
    confused, frustrated, or bewildered by test demands” and
    Cain “was well oriented with his attention and [his]
    concentration [was] not significantly impaired.”
    Dr. Beliz administered seven psychological tests to Cain
    during his evaluation and he did not adjust Cain’s scores for
    the Flynn effect. Dr. Beliz concluded:
    Mr. Cain is not mentally retarded. There is
    no evidence to suggest that Mr. Cain
    has significant cognitive and adaptive
    limitations. . . . While test scores on particular
    instruments might yield extremely low scores
    suggestive of mental retardation, the scores
    can only be considered valid if the individual
    evaluated is a good fit with test scores. . . . In
    Mr. Cain’s case, the fact that he scores low on
    40                    CAIN V. CHAPPELL
    certain tests or that he exhibits soft
    neurological findings does not automatically
    translate into a diagnosis of mental
    retardation, particularly when he does not
    exhibit behaviors indicative of significant
    cognitive and adaptive limitations or
    neurological impairment.
    In conclusion, there is absolutely no evidence
    for mental retardation. Mr. Cain is able to
    survey, organize, and integrate stimuli in a
    meaningful manner. Mr. Cain walks, talks,
    problem solves, socializes, thinks, reasons and
    interacts with others and his environment
    without significant difficulty. Cognitive and
    adaptive skills are adequately developed and
    free from significant impairment. . . .
    The California Superior Court determined that Dr.
    Weinstein’s testimony “suffer[ed] from a number of
    infirmities.” According to the court, Dr. Weinstein relied on
    a prior psychological evaluation to support his conclusions,
    without acknowledging that the prior evaluation provided that
    Cain’s “performance score suggests that he has the
    potentiality of operating within the average range of
    intellectual abilities” or that Cain’s “low test scores reflected
    a possible learning disability,” not an intellectual disability.
    Dr. Weinstein also failed to mention that Cain received a
    score of 85 on tests administered by the same psychologist.
    The California Superior Court observed that Dr.
    Weinstein’s application of the Flynn effect was unpersuasive
    in Cain’s case because “the observation that there is a trend
    in a population toward rising IQ scores, even if credible (an
    CAIN V. CHAPPELL                       41
    assertion which was not proven in this action), does not
    support the practice of applying a point correction to the IQ
    scores of individual persons.” The court also opined that Dr.
    Weinstein applied the AAMR “recommended correction of
    5 points twice.”
    The California Superior Court articulated that Dr.
    Weinstein lacked “significant experience in making
    determinations of whether persons are or are not”
    intellectually disabled. “More importantly, [Dr. Weinstein]
    committed himself to the opinion that the petitioner is
    mentally retarded early on in his work on this case, on skimpy
    information. Dr. Weinstein’s subsequent work has been
    aimed at bolstering that initial opinion instead of objectively
    assessing [Cain].” The court concluded that Dr. Weinstein
    acted as “an advocate in this case,” and that “Dr. Beliz
    provided the only credible expert opinion in this matter.”
    The California Superior Court noted that Cain’s interview
    with a news reporter after the murders was included in the
    record. At the time of the interview, the reporter was
    interviewing neighbors of the slain couple, unaware that Cain
    was the murderer. The court observed that Cain “understood
    the nature of the interview and interacted normally with the
    interviewer. [Cain] clearly understood that it was in his best
    interests to feign ignorance of the crimes and that he should
    minimize his contact with the victims.” According to the
    court, there was “no deficit in [Cain’s] mental functioning
    observable from this evidence, which was fortuitously
    recorded very shortly after the murders.” The court observed
    that Cain exhibited the same behavior during his police
    interview.
    42                        CAIN V. CHAPPELL
    “[T]he Eighth and Fourteenth Amendments to the
    Constitution forbid the execution of persons with intellectual
    disability. . . .” Hall v. Florida, 
    134 S. Ct. 1986
    , 1990 (2014)
    (citation omitted). In order to demonstrate that a defendant
    is intellectually disabled “an IQ between 70 and 75 or lower
    is typically considered the cutoff IQ score for the intellectual
    function prong.” Brumfield, 
    135 S. Ct. at 2278
     (citation and
    alteration omitted). The Supreme Court has articulated that
    “the medical community defines intellectual disability
    according to three criteria:          significantly subaverage
    intellectual functioning, deficits in adaptive functioning (the
    inability to learn basic skills and adjust behavior to changing
    circumstances), and onset of these deficits during the
    developmental period.” Hall, 
    134 S. Ct. at 1994
     (citations
    omitted). The Supreme Court has furthered concluded that
    “when a defendant’s IQ test score falls within the test’s
    acknowledged and inherent margin of error, the defendant
    must be able to present additional evidence of intellectual
    disability, including testimony regarding adaptive deficits.”
    
    Id. at 2001
    . Our general assessment of Cain’s Atkins claim
    leads us to conclude that Cain is not entitled to habeas relief.
    See Hall, 
    134 S. Ct. at 2001
     (articulating the standard for
    determining intellectual disability).9
    Cain’s claim turns essentially on a battle of experts
    between Drs. Beliz and Weinstein. The state court reviewed
    the expert testimony for both in detail, and gave numerous
    9
    Cain contends that the Supreme Court’s recent decision in Moore v.
    Texas, 
    137 S. Ct. 1039
     (2017) suggests that he is entitled to relief on this
    claim. However, Moore is not an AEDPA case and thus does not address
    the difficult burden Cain bears to prove his entitlement to relief under
    AEDPA standards. Morever, having been decided just this spring, Moore
    itself cannot serve as “clearly established” law at the time the state court
    decided Cain’s claim. See Greene v. Fisher, 
    565 U.S. 34
    , 44 (2011).
    CAIN V. CHAPPELL                       43
    specific reasons to support its determination that Dr. Beliz
    was more credible. At most, Cain’s arguments might show
    that there could have been reasons to credit Dr. Weinstein’s
    findings. But this does not overcome his much more difficult
    burden under AEDPA to show that the state court acted
    unreasonably in concluding that Dr. Beliz’s report was more
    credible. See Wood v. Allen, 
    558 U.S. 290
    , 301 (2010);
    Jamerson v. Runnels, 
    713 F.3d 1218
    , 1224 (9th Cir. 2013).
    4. Cumulative Error
    Cain asserts that he is entitled to habeas relief due to
    cumulative error based on a litany of trial errors and
    ineffective assistance of counsel. However, Cain is not
    entitled to relief on a theory of cumulative error because he
    was not “denied . . . a trial in accord with traditional and
    fundamental standards of due process.” Chambers v.
    Mississippi, 
    410 U.S. 284
    , 302 (1973).
    IV.    CONCLUSION
    The California Supreme Court’s determination that Cain
    received adequate notice of the attempted rape special
    circumstance was not unreasonable.              The amended
    information specifically alleged a special circumstance
    premised on 
    Cal. Penal Code § 190.2
    (a)(17), which
    encompassed attempted rape.             Cain’s counsel also
    acknowledged that Cain received adequate notice of the
    special circumstance and that Cain was not prejudiced by the
    prosecution’s arguments premised on attempted rape. Thus,
    Cain received constitutionally adequate notice of the special
    circumstance. In any event, Cain does not challenge the
    jury’s verdict that he was eligible for the death penalty based
    on the first-degree murder of Mr. Galloway and the
    44                   CAIN V. CHAPPELL
    associated special circumstances that were entirely unrelated
    to attempted rape.
    After expanding the certificate of appealability to include
    previously uncertified claims, we conclude that, upon further
    consideration, these claims lack merit.
    AFFIRMED.