9 c 1 from 9 and 1 by mt we conclude 10 b therefore

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(9) ~C 1
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From (9) and (1) by MT we conclude (10) ~B Therefore the butler is lying We cannot make any other conclusions based on ~C and ~B. In order to see if we can make a conclusion about the handyman and the gardener, let us assume that the handyman is telling the truth, i.e. assume (11) H From (11) and (4) we conclude ~C – not in contradiction with the previous conclusions If the assumption does not lead to a contradiction, it is not helpful, because lack of contradiction does not necessarily mean that the assumption is true. Assume now that the handyman is lying: (12) ~ H From (12) and (3) by DS we conclude (13) G From (13) and (2) we conclude ~C – not in contradiction with the previous conclusions. Thus, we cannot determine whether the handyman is lying on not. In a similar way the assumptions G and ~G will not lead to contradiction, so we cannot determine whether the gardener is lying or not. 2. Five friends have access to a chat room. Is it possible to determine who is chatting if the following information is known: a. Either Kevin or Heather or both are chatting.
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