# 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),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X3))),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,X2)))<=>(p(s(t_bool,X4))&s(X1,X3)=s(X1,X2))),file('i/f/option/IF__EQUALS__OPTION_c2', ch4s_options_IFu_u_EQUALSu_u_OPTIONu_c2)).
fof(6, axiom,![X1]:![X2]:![X3]:(s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X3)))=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2)))<=>s(X1,X3)=s(X1,X2)),file('i/f/option/IF__EQUALS__OPTION_c2', ah4s_options_SOMEu_u_11)).
fof(44, axiom,![X1]:![X3]:![X4]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X4),s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X3))),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__EQUALS__OPTION_c2', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c0)).
fof(49, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)<=>p(s(t_bool,X11))),file('i/f/option/IF__EQUALS__OPTION_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(74, axiom,![X1]:![X9]:![X10]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X10),s(X1,X9)))=s(X1,X10),file('i/f/option/IF__EQUALS__OPTION_c2', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(78, axiom,![X1]:![X3]:~(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,X3)))),file('i/f/option/IF__EQUALS__OPTION_c2', ah4s_options_NOTu_u_NONEu_u_SOME)).
# SZS output end CNFRefutation
