# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:((p(s(t_bool,happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool),happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool)),X1),s(t_h4s_options_option(t_h4s_nums_num),h4s_options_none))),s(t_h4s_options_option(t_h4s_nums_num),h4s_options_none))))&(![X2]:p(s(t_bool,happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool),happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool)),X1),s(t_h4s_options_option(t_h4s_nums_num),h4s_options_some(s(t_h4s_nums_num,X2))))),s(t_h4s_options_option(t_h4s_nums_num),h4s_options_none))))&(![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool),happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool)),X1),s(t_h4s_options_option(t_h4s_nums_num),h4s_options_none))),s(t_h4s_options_option(t_h4s_nums_num),h4s_options_some(s(t_h4s_nums_num,X3))))))&![X2]:![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool),happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool)),X1),s(t_h4s_options_option(t_h4s_nums_num),h4s_options_some(s(t_h4s_nums_num,X2))))),s(t_h4s_options_option(t_h4s_nums_num),h4s_options_some(s(t_h4s_nums_num,X3)))))))))=>![X4]:![X5]:p(s(t_bool,happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool),happ(s(t_fun(t_h4s_options_option(t_h4s_nums_num),t_fun(t_h4s_options_option(t_h4s_nums_num),t_bool)),X1),s(t_h4s_options_option(t_h4s_nums_num),X4))),s(t_h4s_options_option(t_h4s_nums_num),X5))))),file('i/f/lbtree/optmin__ind', ch4s_lbtrees_optminu_u_ind)).
fof(2, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/lbtree/optmin__ind', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(16, axiom,![X12]:![X18]:(s(t_h4s_options_option(X12),X18)=s(t_h4s_options_option(X12),h4s_options_none)|?[X2]:s(t_h4s_options_option(X12),X18)=s(t_h4s_options_option(X12),h4s_options_some(s(X12,X2)))),file('i/f/lbtree/optmin__ind', ah4s_options_optionu_u_nchotomy)).
# SZS output end CNFRefutation
