# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_options_isu_u_none(s(t_h4s_options_option(X1),X2))))<=>s(t_h4s_options_option(X1),X2)=s(t_h4s_options_option(X1),h4s_options_none)),file('i/f/option/IS__NONE__EQ__NONE', ch4s_options_ISu_u_NONEu_u_EQu_u_NONE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/option/IS__NONE__EQ__NONE', aHLu_TRUTH)).
fof(11, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/option/IS__NONE__EQ__NONE', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(12, axiom,![X1]:![X6]:(s(t_h4s_options_option(X1),X6)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X6)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/option/IS__NONE__EQ__NONE', ah4s_options_optionu_u_nchotomy)).
fof(14, axiom,![X1]:s(t_bool,h4s_options_isu_u_none(s(t_h4s_options_option(X1),h4s_options_none)))=s(t_bool,t),file('i/f/option/IS__NONE__EQ__NONE', ah4s_options_ISu_u_NONEu_u_DEFu_c1)).
fof(15, axiom,![X1]:![X2]:s(t_bool,h4s_options_isu_u_none(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))))=s(t_bool,f),file('i/f/option/IS__NONE__EQ__NONE', ah4s_options_ISu_u_NONEu_u_DEFu_c0)).
# SZS output end CNFRefutation
