# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X4),s(t_h4s_options_option(X1),X3),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))<=>(p(s(t_bool,X4))&s(t_h4s_options_option(X1),X3)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2))))),file('i/f/option/IF__NONE__EQUALS__OPTION_c2', ch4s_options_IFu_u_NONEu_u_EQUALSu_u_OPTIONu_c2)).
fof(9, axiom,![X1]:![X15]:(s(t_h4s_options_option(X1),X15)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X15)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/option/IF__NONE__EQUALS__OPTION_c2', ah4s_options_optionu_u_nchotomy)).
fof(11, axiom,![X1]:![X2]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/option/IF__NONE__EQUALS__OPTION_c2', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(12, axiom,![X1]:![X11]:![X16]:s(X1,h4s_bools_cond(s(t_bool,X16),s(X1,X11),s(X1,X11)))=s(X1,X11),file('i/f/option/IF__NONE__EQUALS__OPTION_c2', ah4s_bools_CONDu_u_ID)).
fof(13, axiom,![X1]:![X2]:![X4]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X4),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_none)<=>~(p(s(t_bool,X4)))),file('i/f/option/IF__NONE__EQUALS__OPTION_c2', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c0)).
fof(15, axiom,![X1]:![X7]:![X2]:![X4]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X4),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X7)))<=>(p(s(t_bool,X4))&s(X1,X2)=s(X1,X7))),file('i/f/option/IF__NONE__EQUALS__OPTION_c2', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c2)).
# SZS output end CNFRefutation
