# 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(3, axiom,![X2]:![X9]:(s(t_h4s_options_option(X2),X9)=s(t_h4s_options_option(X2),h4s_options_none)|?[X8]:s(t_h4s_options_option(X2),X9)=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X8)))),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_optionu_u_nchotomy)).
fof(4, axiom,![X2]:![X8]:~(s(t_h4s_options_option(X2),h4s_options_none)=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X8)))),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(12, axiom,![X1]:![X2]:![X3]:![X14]:![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),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X14)))<=>?[X15]:?[X16]:(s(t_h4s_options_option(X2),X5)=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X15)))&(s(t_h4s_options_option(X3),X4)=s(t_h4s_options_option(X3),happ(s(t_fun(X3,t_h4s_options_option(X3)),h4s_options_some),s(X3,X16)))&s(X1,X14)=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X6),s(X2,X15))),s(X3,X16)))))),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_OPTIONu_u_MAP2u_u_SOME)).
fof(13, axiom,![X2]:![X3]:![X1]:![X7]:![X8]:![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),happ(s(t_fun(X3,t_h4s_options_option(X3)),h4s_options_some),s(X3,X8))),s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X7)))))=s(t_h4s_options_option(X2),happ(s(t_fun(X2,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,X8))),s(X1,X7))))),file('i/f/option/OPTION__MAP2__NONE', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c0)).
# SZS output end CNFRefutation
