# 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))))=>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),h4s_lists_nil))),s(t_h4s_lists_list(X2),h4s_lists_nil))))),file('i/f/quotient_list/NIL__RSP', ch4s_quotientu_u_lists_NILu_u_RSP)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/quotient_list/NIL__RSP', aHLu_FALSITY)).
fof(56, axiom,![X2]:![X1]:![X5]: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),h4s_lists_nil))),s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_bool,t),file('i/f/quotient_list/NIL__RSP', ah4s_lists_LISTu_u_RELu_u_defu_c0)).
fof(73, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/quotient_list/NIL__RSP', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
