# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X3),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_none)<=>p(s(t_bool,X3))),file('i/f/option/IF__EQUALS__OPTION_c1', ch4s_options_IFu_u_EQUALSu_u_OPTIONu_c1)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/option/IF__EQUALS__OPTION_c1', aHLu_FALSITY)).
fof(12, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/option/IF__EQUALS__OPTION_c1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(13, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/option/IF__EQUALS__OPTION_c1', aHLu_BOOLu_CASES)).
fof(15, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X5),s(X1,X4)))=s(X1,X5),file('i/f/option/IF__EQUALS__OPTION_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(16, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X5),s(X1,X4)))=s(X1,X4),file('i/f/option/IF__EQUALS__OPTION_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(17, 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__EQUALS__OPTION_c1', ah4s_options_NOTu_u_NONEu_u_SOME)).
# SZS output end CNFRefutation
