# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>![X6]:![X7]:![X8]:![X9]:((p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X8))),s(X2,X9))))&p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X2),t_bool),happ(s(t_fun(t_h4s_lists_list(X2),t_fun(t_h4s_lists_list(X2),t_bool)),h4s_lists_listu_u_rel(s(t_fun(X2,t_fun(X2,t_bool)),X5))),s(t_h4s_lists_list(X2),X6))),s(t_h4s_lists_list(X2),X7)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X2),t_bool),happ(s(t_fun(t_h4s_lists_list(X2),t_fun(t_h4s_lists_list(X2),t_bool)),h4s_lists_listu_u_rel(s(t_fun(X2,t_fun(X2,t_bool)),X5))),s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2)),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2))),h4s_lists_cons),s(X2,X8))),s(t_h4s_lists_list(X2),X6))))),s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2)),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2))),h4s_lists_cons),s(X2,X9))),s(t_h4s_lists_list(X2),X7)))))))),file('i/f/quotient_list/CONS__RSP', ch4s_quotientu_u_lists_CONSu_u_RSP)).
fof(29, axiom,![X2]:![X1]:![X35]:![X36]:![X37]:![X23]:![X5]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),happ(s(t_fun(t_h4s_lists_list(X2),t_fun(t_h4s_lists_list(X1),t_bool)),h4s_lists_listu_u_rel(s(t_fun(X2,t_fun(X1,t_bool)),X5))),s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2)),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2))),h4s_lists_cons),s(X2,X23))),s(t_h4s_lists_list(X2),X37))))),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X36))),s(t_h4s_lists_list(X1),X35))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X5),s(X2,X23))),s(X1,X36))))&p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),happ(s(t_fun(t_h4s_lists_list(X2),t_fun(t_h4s_lists_list(X1),t_bool)),h4s_lists_listu_u_rel(s(t_fun(X2,t_fun(X1,t_bool)),X5))),s(t_h4s_lists_list(X2),X37))),s(t_h4s_lists_list(X1),X35)))))),file('i/f/quotient_list/CONS__RSP', ah4s_lists_LISTu_u_RELu_u_defu_c3)).
# SZS output end CNFRefutation
