# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))=>s(t_h4s_lists_list(X1),h4s_lists_drop(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),X3)))=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,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X3))))),s(t_h4s_lists_list(X1),h4s_lists_drop(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_lists_list(X1),X3)))))),file('i/f/rich_list/DROP__EL__CONS', ch4s_richu_u_lists_DROPu_u_ELu_u_CONS)).
fof(3, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/rich_list/DROP__EL__CONS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(28, axiom,![X1]:![X2]:![X28]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X28))))))=>s(t_h4s_lists_list(X1),h4s_lists_drop(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),X28)))=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,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X28))))),s(t_h4s_lists_list(X1),h4s_lists_drop(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X28)))))),file('i/f/rich_list/DROP__EL__CONS', ah4s_richu_u_lists_DROPu_u_CONSu_u_EL)).
fof(44, axiom,![X2]:![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),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,X18),s(t_h4s_nums_num,X2))))),file('i/f/rich_list/DROP__EL__CONS', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(45, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X18),file('i/f/rich_list/DROP__EL__CONS', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(53, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/rich_list/DROP__EL__CONS', ah4s_arithmetics_ONE)).
fof(58, axiom,![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/rich_list/DROP__EL__CONS', ah4s_numerals_numeralu_u_lteu_c1)).
fof(68, axiom,![X2]:![X18]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X2)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X18))))),file('i/f/rich_list/DROP__EL__CONS', ah4s_arithmetics_NOTu_u_LESS)).
fof(77, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/DROP__EL__CONS', aHLu_FALSITY)).
# SZS output end CNFRefutation
