# 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(38, axiom,![X1]:![X5]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X5))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/SUBSET__REFL', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(40, axiom,![X1]:![X6]:![X20]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X20)))=s(t_bool,happ(s(t_fun(X1,t_bool),X20),s(X1,X6))),file('i/f/pred_set/SUBSET__REFL', ah4s_predu_u_sets_SPECIFICATION)).
fof(73, axiom,p(s(t_bool,t)),file('i/f/pred_set/SUBSET__REFL', aHLu_TRUTH)).
fof(74, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/SUBSET__REFL', aHLu_BOOLu_CASES)).
fof(79, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/pred_set/SUBSET__REFL', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
