# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((p(s(t_bool,h4s_enumerals_owl(s(t_h4s_totos_toto(X1),X6),s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X5))))&p(s(t_bool,h4s_enumerals_owl(s(t_h4s_totos_toto(X1),X6),s(t_fun(X1,t_bool),X2),s(t_h4s_lists_list(X1),X4)))))=>p(s(t_bool,h4s_enumerals_owl(s(t_h4s_totos_toto(X1),X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))),s(t_h4s_lists_list(X1),h4s_enumerals_smerge(s(t_h4s_totos_toto(X1),X6),s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4))))))),file('i/f/enumeral/OWL__UNION__THM', ch4s_enumerals_OWLu_u_UNIONu_u_THM)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/enumeral/OWL__UNION__THM', aHLu_FALSITY)).
fof(24, axiom,![X1]:![X3]:![X5]:![X6]:(p(s(t_bool,h4s_enumerals_owl(s(t_h4s_totos_toto(X1),X6),s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X5))))<=>(s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X5)))&p(s(t_bool,h4s_enumerals_ol(s(t_h4s_totos_toto(X1),X6),s(t_h4s_lists_list(X1),X5)))))),file('i/f/enumeral/OWL__UNION__THM', ah4s_enumerals_OWL0)).
fof(25, axiom,![X1]:![X5]:![X6]:(p(s(t_bool,h4s_enumerals_ol(s(t_h4s_totos_toto(X1),X6),s(t_h4s_lists_list(X1),X5))))=>![X4]:(p(s(t_bool,h4s_enumerals_ol(s(t_h4s_totos_toto(X1),X6),s(t_h4s_lists_list(X1),X4))))=>(p(s(t_bool,h4s_enumerals_ol(s(t_h4s_totos_toto(X1),X6),s(t_h4s_lists_list(X1),h4s_enumerals_smerge(s(t_h4s_totos_toto(X1),X6),s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4))))))&s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_enumerals_smerge(s(t_h4s_totos_toto(X1),X6),s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X5))),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X4)))))))),file('i/f/enumeral/OWL__UNION__THM', ah4s_enumerals_OLu_u_UNIONu_u_IMP)).
fof(28, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/enumeral/OWL__UNION__THM', aHLu_BOOLu_CASES)).
fof(29, axiom,p(s(t_bool,t0)),file('i/f/enumeral/OWL__UNION__THM', aHLu_TRUTH)).
fof(31, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/enumeral/OWL__UNION__THM', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
