# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_lists_list(X1),h4s_richu_u_lists_butlastn(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_lists_list(X1),X3),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ch4s_richu_u_lists_BUTLASTNu_u_LENGTHu_u_APPEND)).
fof(5, axiom,![X1]:![X7]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))))=>s(t_h4s_lists_list(X1),h4s_richu_u_lists_butlastn(s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),h4s_richu_u_lists_butlastn(s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X1),X2)))))),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_richu_u_lists_BUTLASTNu_u_APPEND2)).
fof(7, axiom,![X1]:![X6]:s(t_h4s_lists_list(X1),h4s_richu_u_lists_butlastn(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X6))),s(t_h4s_lists_list(X1),X6)))=s(t_h4s_lists_list(X1),h4s_lists_nil),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_richu_u_lists_BUTLASTNu_u_LENGTHu_u_NIL0)).
fof(12, axiom,![X1]:![X6]:s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X6),s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_h4s_lists_list(X1),X6),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_richu_u_lists_APPENDu_u_NILu_c0)).
fof(15, axiom,![X7]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_nums_NOTu_u_SUC)).
fof(17, axiom,![X8]:(s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_nums_0)|?[X7]:s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_arithmetics_numu_u_CASES)).
fof(37, axiom,![X7]:![X8]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_arithmetics_LESSu_u_EQu_u_MONO)).
fof(38, axiom,![X7]:~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_arithmetics_NOTu_u_SUCu_u_LESSu_u_EQu_u_0)).
fof(39, axiom,![X7]:![X8]:(~(s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,X7))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X8)))))),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(40, axiom,![X22]:![X7]:![X8]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X22)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X22))),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(42, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X8),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_arithmetics_ADDu_u_0)).
fof(48, axiom,![X1]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/rich_list/BUTLASTN__LENGTH__APPEND', ah4s_lists_LENGTH0u_c0)).
# SZS output end CNFRefutation
