# 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),h4s_options_none),s(t_h4s_options_option(X1),X3)))=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(t_h4s_options_option(X1),X3)=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/IF__NONE__EQUALS__OPTION_c3', ch4s_options_IFu_u_NONEu_u_EQUALSu_u_OPTIONu_c3)).
fof(5, axiom,![X1]:![X2]:~(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)))),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(44, axiom,![X1]:![X16]:![X17]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X17),s(X1,X16)))=s(X1,X17),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(45, axiom,![X1]:![X16]:![X17]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X17),s(X1,X16)))=s(X1,X16),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(56, axiom,p(s(t_bool,t)),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', aHLu_TRUTH)).
fof(57, axiom,![X18]:(s(t_bool,X18)=s(t_bool,t)|s(t_bool,X18)=s(t_bool,f)),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', aHLu_BOOLu_CASES)).
fof(60, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(61, axiom,![X18]:(s(t_bool,X18)=s(t_bool,t)<=>p(s(t_bool,X18))),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
