# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X4),s(t_h4s_options_option(X2),X3)))=s(t_h4s_options_option(X1),h4s_options_none)<=>s(t_h4s_options_option(X2),X3)=s(t_h4s_options_option(X2),h4s_options_none)),file('i/f/option/OPTION__MAP__EQ__NONE', ch4s_options_OPTIONu_u_MAPu_u_EQu_u_NONE)).
fof(32, axiom,![X2]:![X1]:![X4]:s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X4),s(t_h4s_options_option(X2),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_none),file('i/f/option/OPTION__MAP__EQ__NONE', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c1)).
fof(33, axiom,![X2]:![X26]:(s(t_h4s_options_option(X2),X26)=s(t_h4s_options_option(X2),h4s_options_none)|?[X3]:s(t_h4s_options_option(X2),X26)=s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X3)))),file('i/f/option/OPTION__MAP__EQ__NONE', ah4s_options_optionu_u_nchotomy)).
fof(35, axiom,![X2]:![X3]:~(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,X3)))),file('i/f/option/OPTION__MAP__EQ__NONE', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(50, axiom,![X1]:![X2]:![X3]:![X4]:s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X4),s(t_h4s_options_option(X2),happ(s(t_fun(X2,t_h4s_options_option(X2)),h4s_options_some),s(X2,X3)))))=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X3))))),file('i/f/option/OPTION__MAP__EQ__NONE', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
# SZS output end CNFRefutation
