# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/SUBSET__REFL', ch4s_predu_u_sets_SUBSETu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/SUBSET__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SUBSET__REFL', aHLu_FALSITY)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/SUBSET__REFL', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:![X3]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/SUBSET__REFL', ah4s_predu_u_sets_SUBSETu_u_DEF)).
# SZS output end CNFRefutation
