# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(11, axiom,![X7]:![X14]:(s(t_h4s_options_option(X7),X14)=s(t_h4s_options_option(X7),h4s_options_none)|?[X6]:s(t_h4s_options_option(X7),X14)=s(t_h4s_options_option(X7),h4s_options_some(s(X7,X6)))),file('i/f/option/OPTION__MAP2__cong', ah4s_options_optionu_u_nchotomy)).
fof(12, axiom,![X7]:![X8]:![X6]:(s(t_h4s_options_option(X7),h4s_options_some(s(X7,X6)))=s(t_h4s_options_option(X7),h4s_options_some(s(X7,X8)))<=>s(X7,X6)=s(X7,X8)),file('i/f/option/OPTION__MAP2__cong', ah4s_options_SOMEu_u_11)).
fof(13, axiom,![X7]:![X15]:![X16]:![X8]:![X6]:![X4]:s(t_h4s_options_option(X7),h4s_options_optionu_u_map2(s(t_fun(X15,t_fun(X16,X7)),X4),s(t_h4s_options_option(X15),h4s_options_some(s(X15,X6))),s(t_h4s_options_option(X16),h4s_options_some(s(X16,X8)))))=s(t_h4s_options_option(X7),h4s_options_some(s(X7,happ(s(t_fun(X16,X7),happ(s(t_fun(X15,t_fun(X16,X7)),X4),s(X15,X6))),s(X16,X8))))),file('i/f/option/OPTION__MAP2__cong', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c0)).
fof(14, axiom,![X15]:![X16]:![X7]:![X6]:![X4]:s(t_h4s_options_option(X7),h4s_options_optionu_u_map2(s(t_fun(X15,t_fun(X16,X7)),X4),s(t_h4s_options_option(X15),h4s_options_some(s(X15,X6))),s(t_h4s_options_option(X16),h4s_options_none)))=s(t_h4s_options_option(X7),h4s_options_none),file('i/f/option/OPTION__MAP2__cong', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c1)).
fof(15, axiom,![X15]:![X16]:![X7]:![X8]:![X4]:s(t_h4s_options_option(X7),h4s_options_optionu_u_map2(s(t_fun(X15,t_fun(X16,X7)),X4),s(t_h4s_options_option(X15),h4s_options_none),s(t_h4s_options_option(X16),h4s_options_some(s(X16,X8)))))=s(t_h4s_options_option(X7),h4s_options_none),file('i/f/option/OPTION__MAP2__cong', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c2)).
fof(16, axiom,![X15]:![X16]:![X7]:![X4]:s(t_h4s_options_option(X7),h4s_options_optionu_u_map2(s(t_fun(X15,t_fun(X16,X7)),X4),s(t_h4s_options_option(X15),h4s_options_none),s(t_h4s_options_option(X16),h4s_options_none)))=s(t_h4s_options_option(X7),h4s_options_none),file('i/f/option/OPTION__MAP2__cong', ah4s_options_OPTIONu_u_MAP2u_u_THMu_c3)).
fof(17, conjecture,![X16]:![X7]:![X15]:![X17]:![X18]:![X19]:![X20]:![X21]:![X22]:((s(t_h4s_options_option(X7),X20)=s(t_h4s_options_option(X7),X19)&(s(t_h4s_options_option(X15),X18)=s(t_h4s_options_option(X15),X17)&![X6]:![X8]:((s(t_h4s_options_option(X7),X19)=s(t_h4s_options_option(X7),h4s_options_some(s(X7,X6)))&s(t_h4s_options_option(X15),X17)=s(t_h4s_options_option(X15),h4s_options_some(s(X15,X8))))=>s(X16,happ(s(t_fun(X15,X16),happ(s(t_fun(X7,t_fun(X15,X16)),X22),s(X7,X6))),s(X15,X8)))=s(X16,happ(s(t_fun(X15,X16),happ(s(t_fun(X7,t_fun(X15,X16)),X21),s(X7,X6))),s(X15,X8))))))=>s(t_h4s_options_option(X16),h4s_options_optionu_u_map2(s(t_fun(X7,t_fun(X15,X16)),X22),s(t_h4s_options_option(X7),X20),s(t_h4s_options_option(X15),X18)))=s(t_h4s_options_option(X16),h4s_options_optionu_u_map2(s(t_fun(X7,t_fun(X15,X16)),X21),s(t_h4s_options_option(X7),X19),s(t_h4s_options_option(X15),X17)))),file('i/f/option/OPTION__MAP2__cong', ch4s_options_OPTIONu_u_MAP2u_u_cong)).
# SZS output end CNFRefutation
