# 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),happ(s(t_fun(t_h4s_nums_num,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),happ(s(t_fun(t_h4s_nums_num,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),happ(s(t_fun(t_h4s_nums_num,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),happ(s(t_fun(t_h4s_nums_num,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(4, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/lbtree/optmin__ind', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(24, axiom,![X14]:![X4]:![X22]:(![X2]:(s(X14,X2)=s(X14,X4)=>p(s(t_bool,happ(s(t_fun(X14,t_bool),X22),s(X14,X2)))))<=>p(s(t_bool,happ(s(t_fun(X14,t_bool),X22),s(X14,X4))))),file('i/f/lbtree/optmin__ind', ah4s_bools_UNWINDu_u_FORALLu_u_THM2)).
fof(32, axiom,![X14]:![X26]:(s(t_h4s_options_option(X14),X26)=s(t_h4s_options_option(X14),h4s_options_none)|?[X2]:s(t_h4s_options_option(X14),X26)=s(t_h4s_options_option(X14),happ(s(t_fun(X14,t_h4s_options_option(X14)),h4s_options_some),s(X14,X2)))),file('i/f/lbtree/optmin__ind', ah4s_options_optionu_u_nchotomy)).
# SZS output end CNFRefutation
