# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))),s(X1,X4))))<=>s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X4)))))=s(t_fun(X1,t_bool),X3))=>![X3]:p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))))))),file('i/f/util_prob/DELETE__THEN__INSERT', ch4s_utilu_u_probs_DELETEu_u_THENu_u_INSERT)).
fof(25, axiom,![X1]:![X4]:![X18]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X18))))<=>![X19]:(p(s(t_bool,h4s_bools_in(s(X1,X19),s(t_fun(X1,t_bool),X4))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X19)))))),file('i/f/util_prob/DELETE__THEN__INSERT', ah4s_bools_RESu_u_FORALLu_u_DEF)).
fof(36, axiom,![X1]:![X4]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X4)))))=s(t_fun(X1,t_bool),X3)),file('i/f/util_prob/DELETE__THEN__INSERT', ah4s_predu_u_sets_INSERTu_u_DELETE)).
# SZS output end CNFRefutation
