# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_options_option(X2),h4s_options_optionu_u_bind(s(t_h4s_options_option(X1),X4),s(t_fun(X1,t_h4s_options_option(X2)),X5)))=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X3)))<=>?[X6]:(s(t_h4s_options_option(X1),X4)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X6)))&s(t_h4s_options_option(X2),happ(s(t_fun(X1,t_h4s_options_option(X2)),X5),s(X1,X6)))=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X3))))),file('i/f/option/OPTION__BIND__EQUALS__OPTION_c1', ch4s_options_OPTIONu_u_BINDu_u_EQUALSu_u_OPTIONu_c1)).
fof(10, axiom,![X1]:![X2]:![X4]:![X5]:(s(t_h4s_options_option(X2),h4s_options_optionu_u_bind(s(t_h4s_options_option(X1),X4),s(t_fun(X1,t_h4s_options_option(X2)),X5)))=s(t_h4s_options_option(X2),h4s_options_none)<=>(s(t_h4s_options_option(X1),X4)=s(t_h4s_options_option(X1),h4s_options_none)|?[X6]:(s(t_h4s_options_option(X1),X4)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X6)))&s(t_h4s_options_option(X2),happ(s(t_fun(X1,t_h4s_options_option(X2)),X5),s(X1,X6)))=s(t_h4s_options_option(X2),h4s_options_none)))),file('i/f/option/OPTION__BIND__EQUALS__OPTION_c1', ah4s_options_OPTIONu_u_BINDu_u_EQUALSu_u_OPTIONu_c0)).
fof(13, axiom,![X1]:![X2]:![X6]:![X5]:s(t_h4s_options_option(X1),h4s_options_optionu_u_bind(s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X6))),s(t_fun(X2,t_h4s_options_option(X1)),X5)))=s(t_h4s_options_option(X1),happ(s(t_fun(X2,t_h4s_options_option(X1)),X5),s(X2,X6))),file('i/f/option/OPTION__BIND__EQUALS__OPTION_c1', ah4s_options_OPTIONu_u_BINDu_u_defu_c1)).
fof(38, axiom,![X1]:![X6]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X6)))),file('i/f/option/OPTION__BIND__EQUALS__OPTION_c1', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(39, axiom,![X1]:![X31]:(s(t_h4s_options_option(X1),X31)=s(t_h4s_options_option(X1),h4s_options_none)|?[X6]:s(t_h4s_options_option(X1),X31)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X6)))),file('i/f/option/OPTION__BIND__EQUALS__OPTION_c1', ah4s_options_optionu_u_nchotomy)).
# SZS output end CNFRefutation
