# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))))),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,X4))),s(t_h4s_lists_list(X1),X3)))))=s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))))))),s(t_h4s_lists_list(X1),X3))),file('i/f/list/EL__simp__restricted_c0', ch4s_lists_ELu_u_simpu_u_restrictedu_c0)).
fof(9, axiom,![X11]:![X2]:![X3]:![X4]:s(X11,happ(s(t_fun(t_h4s_lists_list(X11),X11),h4s_lists_el(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))))),s(t_h4s_lists_list(X11),happ(s(t_fun(t_h4s_lists_list(X11),t_h4s_lists_list(X11)),happ(s(t_fun(X11,t_fun(t_h4s_lists_list(X11),t_h4s_lists_list(X11))),h4s_lists_cons),s(X11,X4))),s(t_h4s_lists_list(X11),X3)))))=s(X11,happ(s(t_fun(t_h4s_lists_list(X11),X11),h4s_lists_el(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X11),X3))),file('i/f/list/EL__simp__restricted_c0', ah4s_lists_ELu_u_restrictedu_c1)).
fof(12, axiom,![X17]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))))=s(t_h4s_nums_num,X17),file('i/f/list/EL__simp__restricted_c0', ah4s_primu_u_recs_PRE0u_c1)).
fof(14, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/list/EL__simp__restricted_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(40, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X17),file('i/f/list/EL__simp__restricted_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(41, axiom,![X2]:![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X2))))),file('i/f/list/EL__simp__restricted_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(42, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/list/EL__simp__restricted_c0', ah4s_arithmetics_BIT10)).
# SZS output end CNFRefutation
