# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X3))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/SUBSET__POW', ch4s_predu_u_sets_SUBSETu_u_POW)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/pred_set/SUBSET__POW', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X1]:![X6]:![X18]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X18),s(t_fun(X1,t_bool),X6))))<=>![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X18))))=>p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X6)))))),file('i/f/pred_set/SUBSET__POW', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(28, axiom,![X1]:![X19]:![X6]:![X18]:((p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X18),s(t_fun(X1,t_bool),X6))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X19)))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X18),s(t_fun(X1,t_bool),X19))))),file('i/f/pred_set/SUBSET__POW', ah4s_predu_u_sets_SUBSETu_u_TRANS)).
fof(29, axiom,![X1]:![X20]:![X21]:s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X21),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X20)))))=s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X21),s(t_fun(X1,t_bool),X20))),file('i/f/pred_set/SUBSET__POW', ah4s_predu_u_sets_INu_u_POW)).
# SZS output end CNFRefutation
