# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(12, axiom,![X7]:![X6]:![X9]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),h4s_lists_snoc(s(X7,X6),s(t_h4s_lists_list(X7),X9)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X9))))),file('i/f/list/EL__LENGTH__SNOC', ah4s_lists_LENGTHu_u_SNOC)).
fof(14, axiom,![X7]:![X6]:![X9]:s(X7,h4s_lists_last(s(t_h4s_lists_list(X7),h4s_lists_snoc(s(X7,X6),s(t_h4s_lists_list(X7),X9)))))=s(X7,X6),file('i/f/list/EL__LENGTH__SNOC', ah4s_lists_LASTu_u_SNOC)).
fof(20, axiom,![X7]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),h4s_lists_nil)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/list/EL__LENGTH__SNOC', ah4s_lists_LENGTH0u_c0)).
fof(45, axiom,![X7]:![X12]:(~(s(t_h4s_lists_list(X7),X12)=s(t_h4s_lists_list(X7),h4s_lists_nil))=>s(X7,h4s_lists_last(s(t_h4s_lists_list(X7),X12)))=s(X7,happ(s(t_fun(t_h4s_lists_list(X7),X7),h4s_lists_el(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X12))))))),s(t_h4s_lists_list(X7),X12)))),file('i/f/list/EL__LENGTH__SNOC', ah4s_lists_LASTu_u_EL)).
fof(104, axiom,![X34]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X34)))))=s(t_h4s_nums_num,X34),file('i/f/list/EL__LENGTH__SNOC', ah4s_primu_u_recs_PRE0u_c1)).
fof(114, axiom,![X11]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/list/EL__LENGTH__SNOC', ah4s_nums_NOTu_u_SUC)).
fof(133, conjecture,![X7]:![X6]:![X9]:s(X7,happ(s(t_fun(t_h4s_lists_list(X7),X7),h4s_lists_el(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X9))))),s(t_h4s_lists_list(X7),h4s_lists_snoc(s(X7,X6),s(t_h4s_lists_list(X7),X9)))))=s(X7,X6),file('i/f/list/EL__LENGTH__SNOC', ch4s_lists_ELu_u_LENGTHu_u_SNOC)).
# SZS output end CNFRefutation
