# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(X1,h4s_lists_hd(s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X3),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/list/HD__GENLIST', ch4s_lists_HDu_u_GENLIST)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/HD__GENLIST', aHLu_TRUTH)).
fof(6, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/list/HD__GENLIST', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X1]:![X7]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X2))))=>s(X1,h4s_lists_el(s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X3),s(t_h4s_nums_num,X2)))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X3),s(t_h4s_nums_num,X7)))),file('i/f/list/HD__GENLIST', ah4s_lists_ELu_u_GENLIST)).
fof(10, axiom,![X2]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))))),file('i/f/list/HD__GENLIST', ah4s_primu_u_recs_LESSu_u_0)).
fof(11, axiom,![X1]:![X15]:s(X1,h4s_lists_el(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_lists_list(X1),X15)))=s(X1,h4s_lists_hd(s(t_h4s_lists_list(X1),X15))),file('i/f/list/HD__GENLIST', ah4s_lists_EL0u_c0)).
# SZS output end CNFRefutation
