# 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_map(s(t_fun(X2,X1),X6),s(t_h4s_options_option(X2),h4s_options_optionu_u_map(s(t_fun(X3,X2),X5),s(t_h4s_options_option(X3),X4)))))=s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X3,X1),h4s_combins_o(s(t_fun(X2,X1),X6),s(t_fun(X3,X2),X5))),s(t_h4s_options_option(X3),X4))),file('i/f/option/OPTION__MAP__COMPOSE', ch4s_options_OPTIONu_u_MAPu_u_COMPOSE)).
fof(2, axiom,![X1]:![X3]:![X4]:![X6]:s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X3,X1),X6),s(t_h4s_options_option(X3),h4s_options_some(s(X3,X4)))))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,happ(s(t_fun(X3,X1),X6),s(X3,X4))))),file('i/f/option/OPTION__MAP__COMPOSE', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(3, axiom,![X3]:![X1]:![X6]:s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X3,X1),X6),s(t_h4s_options_option(X3),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_none),file('i/f/option/OPTION__MAP__COMPOSE', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c1)).
fof(4, axiom,![X1]:![X3]:![X2]:![X4]:![X5]:![X6]:s(X1,happ(s(t_fun(X2,X1),h4s_combins_o(s(t_fun(X3,X1),X6),s(t_fun(X2,X3),X5))),s(X2,X4)))=s(X1,happ(s(t_fun(X3,X1),X6),s(X3,happ(s(t_fun(X2,X3),X5),s(X2,X4))))),file('i/f/option/OPTION__MAP__COMPOSE', ah4s_combins_ou_u_THM)).
fof(5, axiom,![X3]:![X7]:(s(t_h4s_options_option(X3),X7)=s(t_h4s_options_option(X3),h4s_options_none)|?[X4]:s(t_h4s_options_option(X3),X7)=s(t_h4s_options_option(X3),h4s_options_some(s(X3,X4)))),file('i/f/option/OPTION__MAP__COMPOSE', ah4s_options_optionu_u_nchotomy)).
# SZS output end CNFRefutation
