different between disagreeing vs conflicting

English

dis- +? agree +? -ing

disagreeing

conflicting (comparative more conflicting, superlative most conflicting)

fighting; contending; in conflict
Being in opposition; contrary; contradictory.
- 1999, Herre van Oostendorp, Susan R. Goldman, The construction of mental representations during reading
  On the other hand, the more effective the current activation vector is in reactivating the conflicting information, the more likely the two conflicting pieces of information are to be coactivated.

conflicting

Webster, Noah (1828) , “conflicting”, in An American Dictionary of the English Language

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