# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))=>![X4]:(p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),h4s_lists_drop(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),X3))))))=>p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X3)))))),file('i/f/rich_list/EXISTS__DROP', ch4s_richu_u_lists_EXISTSu_u_DROP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rich_list/EXISTS__DROP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/EXISTS__DROP', aHLu_FALSITY)).
fof(4, axiom,![X5]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X2))))=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X2)),file('i/f/rich_list/EXISTS__DROP', ah4s_arithmetics_SUBu_u_ADD)).
fof(5, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2)))),file('i/f/rich_list/EXISTS__DROP', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(6, axiom,![X1]:![X5]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))=>s(t_h4s_lists_list(X1),h4s_lists_drop(s(t_h4s_nums_num,X5),s(t_h4s_lists_list(X1),X3)))=s(t_h4s_lists_list(X1),h4s_richu_u_lists_seg(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))),s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X5),s(t_h4s_lists_list(X1),X3)))),file('i/f/rich_list/EXISTS__DROP', ah4s_richu_u_lists_DROPu_u_SEG)).
fof(7, axiom,![X1]:![X2]:![X3]:![X6]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))=>![X4]:(p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),h4s_richu_u_lists_seg(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X6),s(t_h4s_lists_list(X1),X3))))))=>p(s(t_bool,h4s_lists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X3)))))),file('i/f/rich_list/EXISTS__DROP', ah4s_richu_u_lists_EXISTSu_u_SEG)).
fof(8, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/rich_list/EXISTS__DROP', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
