# 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),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/INTER__SUBSET_c0', ch4s_predu_u_sets_INTERu_u_SUBSETu_c0)).
fof(26, axiom,![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))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/INTER__SUBSET_c0', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(30, axiom,![X1]:![X4]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/INTER__SUBSET_c0', ah4s_predu_u_sets_INu_u_INTER)).
fof(31, axiom,![X1]:![X2]:![X3]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/INTER__SUBSET_c0', ah4s_predu_u_sets_INTERu_u_COMM)).
fof(36, axiom,![X1]:![X4]:![X18]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X18)))=s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X4))),file('i/f/pred_set/INTER__SUBSET_c0', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
