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MiniZinc

enum Guests = { bride, groom, bestman, bridesmaid, bob, carol,
ted, alice, ron, rona, ed, clara};
set of int: Seats = 1..12;
set of int: Hatreds = 1..5;
array[Hatreds] of Guests: h1 = [groom, carol, ed, bride, ted];
array[Hatreds] of Guests: h2 = [clara, bestman, ted, alice, ron];
set of Guests: Males = {groom, bestman, bob, ted, ron,ed};
set of Guests: Females = {bride,bridesmaid,carol,alice,rona,clara};
array[Guests] of var Seats: pos; % seat of guest
array[Hatreds] of var Seats: p1; % seat of guest 1 in hatred
array[Hatreds] of var Seats: p2; % seat of guest 2 in hatred
array[Hatreds] of var 0..1: sameside; % seats of hatred on same side
array[Hatreds] of var Seats: cost; % penalty of hatred
include "alldifferent.mzn";
constraint alldifferent(pos);
constraint forall(g in Males)( pos[g] mod 2 == 1 );
constraint forall(g in Females)( pos[g] mod 2 == 0 );
constraint not (pos[ed] in {1,6,7,12});
constraint abs(pos[bride] - pos[groom]) <= 1 /\
(pos[bride] <= 6 <-> pos[groom] <= 6);
constraint forall(h in Hatreds)(
p1[h] = pos[h1[h]] /\
p2[h] = pos[h2[h]] /\
sameside[h] = bool2int(p1[h] <= 6 <-> p2[h] <= 6) /\
cost[h] = sameside[h] * abs(p1[h] - p2[h]) +
(1 - sameside[h]) * (abs(13 - p1[h] - p2[h]) + 1) );
solve maximize sum(h in Hatreds)(cost[h]);
output [ show(g)++" " | s in Seats,g in Guests where fix(pos[g]) == s]
++ ["\n"];