All the following should be completed using SST (Systematic Semantic Tableaux). Label the reduction rules used. You may re-label universally-quantified () formulae with A,B,C, etc. to avoid re-writing them if you wish.

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[(x)b V (x)d-jxEL 4 (x)bxA A(x)dxA (x)bxEV (x)dxE = [(x)b V (x)d]XE [(x)b V (x)d-jxEL 4 (x)bxA A(x)dxA (x)bxEV (x)dxE = [(x)b V (x)d]XE