The minimal conflicts are: {d}, {e, g} and {h}.

a ← h ⋀ reliable_s1 .
d ← c ⋀ reliable_s1 .
e ← d ⋀ reliable_s2 .
f ← k ⋀ reliable_s2 .
z ← g ⋀ reliable_s2 .
j ← reliable_s2 .
h ← d ⋀ reliable_s3 .
a ← b ⋀ e ⋀ reliable_s4 .
b ← c ⋀ reliable_s4 .
g ← f ⋀ j ⋀ reliable_s5 .
false ← a ⋀ z .
c .
k .
assumables: {reliable_s1, reliable_s2, reliable_s3, reliable_s4, reliable_s5}

(a)
assumables: {ok_sc_lg, ok_sc_hg, ok_s1_ant, ok_s2_ant, ok_s2_trans, alive_sc,_no dist}
integrity constraint: false ← no_signal_gc ⋀ get_signal_gc.

(b)
{ok_sc_hg, alive_sc, ok_s1_ant}
{ok_sc_hg, alive_sc, ok_s2_ant, ok_s2_trans}
{ok_sc_lg, alive_sc, no_dist}

(c)
{alive_sc}
{ok_sc_hg, ok_sc_lg}
{ok_sc_hg, no_dist}
{ok_s1_ant, ok_s2_ant, ok_sc_lg}
{ok_s1_ant, ok_s2_ant, no_dist}
{ok_s1_ant, ok_s2_trans, ok_sc_lg}
{ok_s1_ant, ok_s2_trans, no_dist}