Prolog “singleton variable” warning

Question

I\'m new to Prolog and royally confused! I keep getting a \"singleton variable for [WMAPDY]\" warning. I read somewhere that sometimes that warning is useless. I also rea

Answer 1

Why not use clpfd?

Building on my previous answer to a very related question, we query:

?- solve_n_dump([A,M] + [P,M] #= [D,A,Y]).
Eq = ([2,5]+[9,5]#=[1,2,0]), Zs = [2,5,9,1,0].
Eq = ([2,7]+[9,7]#=[1,2,4]), Zs = [2,7,9,1,4].
Eq = ([2,8]+[9,8]#=[1,2,6]), Zs = [2,8,9,1,6].
Eq = ([3,5]+[9,5]#=[1,3,0]), Zs = [3,5,9,1,0].
Eq = ([3,6]+[9,6]#=[1,3,2]), Zs = [3,6,9,1,2].
Eq = ([3,7]+[9,7]#=[1,3,4]), Zs = [3,7,9,1,4].
Eq = ([3,8]+[9,8]#=[1,3,6]), Zs = [3,8,9,1,6].
Eq = ([4,5]+[9,5]#=[1,4,0]), Zs = [4,5,9,1,0].
Eq = ([4,6]+[9,6]#=[1,4,2]), Zs = [4,6,9,1,2].
Eq = ([4,8]+[9,8]#=[1,4,6]), Zs = [4,8,9,1,6].
Eq = ([5,6]+[9,6]#=[1,5,2]), Zs = [5,6,9,1,2].
Eq = ([5,7]+[9,7]#=[1,5,4]), Zs = [5,7,9,1,4].
Eq = ([5,8]+[9,8]#=[1,5,6]), Zs = [5,8,9,1,6].
Eq = ([6,5]+[9,5]#=[1,6,0]), Zs = [6,5,9,1,0].
Eq = ([6,7]+[9,7]#=[1,6,4]), Zs = [6,7,9,1,4].
Eq = ([7,5]+[9,5]#=[1,7,0]), Zs = [7,5,9,1,0].
Eq = ([7,6]+[9,6]#=[1,7,2]), Zs = [7,6,9,1,2].
Eq = ([7,8]+[9,8]#=[1,7,6]), Zs = [7,8,9,1,6].
Eq = ([8,5]+[9,5]#=[1,8,0]), Zs = [8,5,9,1,0].
Eq = ([8,6]+[9,6]#=[1,8,2]), Zs = [8,6,9,1,2].
Eq = ([8,7]+[9,7]#=[1,8,4]), Zs = [8,7,9,1,4].
true.