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mis-reasoning
mis-reasoning n. 
/(ˌ)mɪsˈriːz(ə)nɪŋ/, /ˌmɪsˈriznɪŋ/
Brit. /(ˌ)mɪsˈriːzn̩ɪŋ/
, /(ˌ)mɪsˈriːzn̩ɪŋ//(ˌ)mɪsˈriːz(ə)nɪŋ/U.S. /ˌmɪsˈrizn̩ɪŋ/
, /ˌmɪsˈrizn̩ɪŋ//ˌmɪsˈriznɪŋ/ΚΠ
1651 T. Hobbes Leviathan i. v. 21 By mis-reasoning, or by trusting them that reason wrong.
1862 F. Hall tr. N. N. Gore Rational Refut. Hindu Philos. Syst. 190 In this misreasoning.
1990 Jrnl. Philos. 87 415 Reasoning is misreasoning..when it starts from premises in a special science that are neither true nor primary.
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