indemonstrable

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in·de·mon·stra·ble

 (ĭn′dĭ-mŏn′strə-bəl)
adj.
Impossible to prove or demonstrate: a seemingly valid but indemonstrable hypothesis.

in′de·mon′stra·bil′i·ty n.
in′de·mon′stra·bly adv.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

indemonstrable

(ˌɪndɪˈmɒnstrəbəl)
adj
incapable of being demonstrated or proved
ˌindeˌmonstraˈbility n
ˌindeˈmonstrably adv
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

in•de•mon•stra•ble

(ˌɪn dɪˈmɒn strə bəl, ɪnˈdɛm ən-)

adj.
incapable of being demonstrated.
[1560–70]
in`de•mon′stra•bly, adv.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.