# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_options_option(X1),h4s_options_optionu_u_choice(s(t_h4s_options_option(X1),X3),s(t_h4s_options_option(X1),X2)))=s(t_h4s_options_option(X1),h4s_options_none)<=>(s(t_h4s_options_option(X1),X3)=s(t_h4s_options_option(X1),h4s_options_none)&s(t_h4s_options_option(X1),X2)=s(t_h4s_options_option(X1),h4s_options_none))),file('i/f/option/OPTION__CHOICE__EQ__NONE', ch4s_options_OPTIONu_u_CHOICEu_u_EQu_u_NONE)).
fof(4, axiom,![X1]:![X12]:(s(t_h4s_options_option(X1),X12)=s(t_h4s_options_option(X1),h4s_options_none)|?[X8]:s(t_h4s_options_option(X1),X12)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X8)))),file('i/f/option/OPTION__CHOICE__EQ__NONE', ah4s_options_optionu_u_nchotomy)).
fof(52, axiom,![X1]:![X2]:s(t_h4s_options_option(X1),h4s_options_optionu_u_choice(s(t_h4s_options_option(X1),h4s_options_none),s(t_h4s_options_option(X1),X2)))=s(t_h4s_options_option(X1),X2),file('i/f/option/OPTION__CHOICE__EQ__NONE', ah4s_options_OPTIONu_u_CHOICEu_u_defu_c0)).
fof(53, axiom,![X1]:![X8]:![X2]:s(t_h4s_options_option(X1),h4s_options_optionu_u_choice(s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X8))),s(t_h4s_options_option(X1),X2)))=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X8))),file('i/f/option/OPTION__CHOICE__EQ__NONE', ah4s_options_OPTIONu_u_CHOICEu_u_defu_c1)).
# SZS output end CNFRefutation
