# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_options_option(X1),h4s_options_optionu_u_join(s(t_h4s_options_option(t_h4s_options_option(X1)),X3)))=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2)))<=>s(t_h4s_options_option(t_h4s_options_option(X1)),X3)=s(t_h4s_options_option(t_h4s_options_option(X1)),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(t_h4s_options_option(X1))),h4s_options_some),s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2)))))),file('i/f/option/OPTION__JOIN__EQ__SOME', ch4s_options_OPTIONu_u_JOINu_u_EQu_u_SOME)).
fof(5, axiom,![X1]:![X3]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X3)))),file('i/f/option/OPTION__JOIN__EQ__SOME', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(8, axiom,![X1]:![X13]:(s(t_h4s_options_option(X1),X13)=s(t_h4s_options_option(X1),h4s_options_none)|?[X3]:s(t_h4s_options_option(X1),X13)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X3)))),file('i/f/option/OPTION__JOIN__EQ__SOME', ah4s_options_optionu_u_nchotomy)).
fof(49, axiom,![X8]:![X1]:![X2]:![X3]:![X6]:(s(t_h4s_options_option(X8),h4s_options_optionu_u_map(s(t_fun(X1,X8),X6),s(t_h4s_options_option(X1),X3)))=s(t_h4s_options_option(X8),happ(s(t_fun(X8,t_h4s_options_option(X8)),h4s_options_some),s(X8,X2)))<=>?[X29]:(s(t_h4s_options_option(X1),X3)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X29)))&s(X8,X2)=s(X8,happ(s(t_fun(X1,X8),X6),s(X1,X29))))),file('i/f/option/OPTION__JOIN__EQ__SOME', ah4s_options_OPTIONu_u_MAPu_u_EQu_u_SOME)).
fof(50, axiom,![X8]:![X1]:![X3]:![X6]:s(t_h4s_options_option(X8),h4s_options_optionu_u_map(s(t_fun(X1,X8),X6),s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X3)))))=s(t_h4s_options_option(X8),happ(s(t_fun(X8,t_h4s_options_option(X8)),h4s_options_some),s(X8,happ(s(t_fun(X1,X8),X6),s(X1,X3))))),file('i/f/option/OPTION__JOIN__EQ__SOME', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(58, axiom,![X1]:![X3]:s(t_h4s_options_option(X1),h4s_options_optionu_u_join(s(t_h4s_options_option(t_h4s_options_option(X1)),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(t_h4s_options_option(X1))),h4s_options_some),s(t_h4s_options_option(X1),X3)))))=s(t_h4s_options_option(X1),X3),file('i/f/option/OPTION__JOIN__EQ__SOME', ah4s_options_OPTIONu_u_JOINu_u_DEFu_c1)).
fof(59, axiom,![X1]:s(t_h4s_options_option(X1),h4s_options_optionu_u_join(s(t_h4s_options_option(t_h4s_options_option(X1)),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_none),file('i/f/option/OPTION__JOIN__EQ__SOME', ah4s_options_OPTIONu_u_JOINu_u_DEFu_c0)).
fof(67, axiom,![X8]:![X1]:![X3]:![X6]:(s(t_h4s_options_option(X8),h4s_options_optionu_u_map(s(t_fun(X1,X8),X6),s(t_h4s_options_option(X1),X3)))=s(t_h4s_options_option(X8),h4s_options_none)<=>s(t_h4s_options_option(X1),X3)=s(t_h4s_options_option(X1),h4s_options_none)),file('i/f/option/OPTION__JOIN__EQ__SOME', ah4s_options_OPTIONu_u_MAPu_u_EQu_u_NONE)).
# SZS output end CNFRefutation
