# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_lists_null(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(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/list/NULL__GENLIST', ch4s_lists_NULLu_u_GENLIST)).
fof(31, axiom,![X1]:![X24]:(p(s(t_bool,h4s_lists_null(s(t_h4s_lists_list(X1),X24))))<=>s(t_h4s_lists_list(X1),X24)=s(t_h4s_lists_list(X1),h4s_lists_nil)),file('i/f/list/NULL__GENLIST', ah4s_lists_NULLu_u_EQ)).
fof(32, axiom,![X1]:s(t_bool,h4s_lists_null(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_bool,t),file('i/f/list/NULL__GENLIST', ah4s_lists_NULLu_u_DEFu_c0)).
fof(34, axiom,![X1]:![X24]:(p(s(t_bool,h4s_lists_null(s(t_h4s_lists_list(X1),X24))))<=>s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X24)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/list/NULL__GENLIST', ah4s_lists_NULLu_u_LENGTH)).
fof(37, axiom,![X1]:![X2]:![X3]: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),X3),s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,X2),file('i/f/list/NULL__GENLIST', ah4s_lists_LENGTHu_u_GENLIST)).
fof(39, axiom,![X1]:![X3]: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_0)))=s(t_h4s_lists_list(X1),h4s_lists_nil),file('i/f/list/NULL__GENLIST', ah4s_lists_GENLIST0u_c0)).
fof(54, axiom,p(s(t_bool,t)),file('i/f/list/NULL__GENLIST', aHLu_TRUTH)).
# SZS output end CNFRefutation
