# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_options_option(X1),h4s_options_optionu_u_case(s(t_h4s_options_option(X1),X2),s(t_h4s_options_option(X1),h4s_options_none),s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some)))=s(t_h4s_options_option(X1),X2),file('i/f/option/option__case__ID', ch4s_options_optionu_u_caseu_u_ID)).
fof(6, axiom,![X1]:![X7]:(s(t_h4s_options_option(X1),X7)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X7)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2)))),file('i/f/option/option__case__ID', ah4s_options_optionu_u_nchotomy)).
fof(7, axiom,![X1]:![X8]:![X9]:![X5]:s(X8,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),h4s_options_none),s(X8,X9),s(t_fun(X1,X8),X5)))=s(X8,X9),file('i/f/option/option__case__ID', ah4s_options_optionu_u_caseu_u_defu_c0)).
fof(8, axiom,![X8]:![X1]:![X2]:![X9]:![X5]:s(X8,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2))),s(X8,X9),s(t_fun(X1,X8),X5)))=s(X8,happ(s(t_fun(X1,X8),X5),s(X1,X2))),file('i/f/option/option__case__ID', ah4s_options_optionu_u_caseu_u_defu_c1)).
# SZS output end CNFRefutation
