# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(s(t_h4s_options_option(X1),h4s_options_optionu_u_map2(s(t_fun(X2,t_fun(X3,X1)),X6),s(t_h4s_options_option(X2),X5),s(t_h4s_options_option(X3),X4)))=s(t_h4s_options_option(X1),h4s_options_none)<=>(s(t_h4s_options_option(X2),X5)=s(t_h4s_options_option(X2),h4s_options_none)|s(t_h4s_options_option(X3),X4)=s(t_h4s_options_option(X3),h4s_options_none))),file('i/f/option/OPTION__MAP2__NONE', ch4s_options_OPTIONu_u_MAP2u_u_NONE)).
fof(15, axiom,![X2]:![X12]:(s(t_h4s_options_option(X2),X12)=s(t_h4s_options_option(X2),h4s_options_none)|?[X10]:s(t_h4s_options_option(X2),X12)=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X10)))),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_optionu_u_nchotomy)).
fof(16, axiom,![X2]:![X10]:~(s(t_h4s_options_option(X2),h4s_options_none)=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X10)))),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(17, axiom,![X3]:![X1]:![X2]:![X10]:![X6]:s(t_h4s_options_option(X2),h4s_options_optionu_u_map2(s(t_fun(X3,t_fun(X1,X2)),X6),s(t_h4s_options_option(X3),h4s_options_some(s(X3,X10))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X2),h4s_options_none),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c1)).
fof(18, axiom,![X3]:![X1]:![X2]:![X11]:![X6]:s(t_h4s_options_option(X2),h4s_options_optionu_u_map2(s(t_fun(X3,t_fun(X1,X2)),X6),s(t_h4s_options_option(X3),h4s_options_none),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X11)))))=s(t_h4s_options_option(X2),h4s_options_none),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c2)).
fof(19, axiom,![X3]:![X1]:![X2]:![X6]:s(t_h4s_options_option(X2),h4s_options_optionu_u_map2(s(t_fun(X3,t_fun(X1,X2)),X6),s(t_h4s_options_option(X3),h4s_options_none),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X2),h4s_options_none),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c3)).
fof(20, axiom,![X2]:![X3]:![X1]:![X11]:![X10]:![X6]:s(t_h4s_options_option(X2),h4s_options_optionu_u_map2(s(t_fun(X3,t_fun(X1,X2)),X6),s(t_h4s_options_option(X3),h4s_options_some(s(X3,X10))),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X11)))))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,happ(s(t_fun(X1,X2),happ(s(t_fun(X3,t_fun(X1,X2)),X6),s(X3,X10))),s(X1,X11))))),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c0)).
# SZS output end CNFRefutation
