# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2)))=s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X3),s(t_h4s_nums_num,X2)))<=>![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X2))))=>s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X5)))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X3),s(t_h4s_nums_num,X5))))),file('i/f/list/GENLIST__FUN__EQ', ch4s_lists_GENLISTu_u_FUNu_u_EQ)).
fof(7, axiom,![X1]:![X5]:![X2]:![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X2))))=>s(X1,h4s_lists_el(s(t_h4s_nums_num,X5),s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2)))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X5)))),file('i/f/list/GENLIST__FUN__EQ', ah4s_lists_ELu_u_GENLIST)).
fof(8, axiom,![X1]:![X15]:![X16]:(s(t_h4s_lists_list(X1),X16)=s(t_h4s_lists_list(X1),X15)<=>(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X16)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X15)))&![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X16))))))=>s(X1,h4s_lists_el(s(t_h4s_nums_num,X5),s(t_h4s_lists_list(X1),X16)))=s(X1,h4s_lists_el(s(t_h4s_nums_num,X5),s(t_h4s_lists_list(X1),X15)))))),file('i/f/list/GENLIST__FUN__EQ', ah4s_lists_LISTu_u_EQu_u_REWRITE)).
fof(9, axiom,![X1]:![X2]:![X4]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,X2),file('i/f/list/GENLIST__FUN__EQ', ah4s_lists_LENGTHu_u_GENLIST)).
# SZS output end CNFRefutation
