# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4)))))))=>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),h4s_lists_take(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X1),X4)))))=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),X4)))),file('i/f/numposrep/EL__TAKE', ch4s_numposreps_ELu_u_TAKE)).
fof(4, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/numposrep/EL__TAKE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X18]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X18)))),file('i/f/numposrep/EL__TAKE', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(25, axiom,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4)))))))=>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),h4s_lists_take(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X1),X4)))))=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),X4)))),file('i/f/numposrep/EL__TAKE', ah4s_richu_u_lists_ELu_u_TAKE)).
# SZS output end CNFRefutation
