# 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),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_c3', ch4s_options_IFu_u_NONEu_u_EQUALSu_u_OPTIONu_c3)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', aHLu_FALSITY)).
fof(18, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(28, axiom,![X1]:![X17]:(s(t_h4s_options_option(X1),X17)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X17)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_options_optionu_u_nchotomy)).
fof(30, 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_c3', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(36, axiom,![X1]:![X8]:![X2]:![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),h4s_options_some(s(X1,X2)))))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X8)))<=>(~(p(s(t_bool,X4)))&s(X1,X2)=s(X1,X8))),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c3)).
fof(37, axiom,![X1]:![X5]:![X18]:s(X1,h4s_bools_cond(s(t_bool,X18),s(X1,X5),s(X1,X5)))=s(X1,X5),file('i/f/option/IF__NONE__EQUALS__OPTION_c3', ah4s_bools_CONDu_u_ID)).
# SZS output end CNFRefutation
