# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(X1)),h4s_options_optionu_u_map(s(t_fun(X1,X1),h4s_combins_i)))=s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(X1)),h4s_combins_i),file('i/f/quotient_option/OPTION__MAP__I', ch4s_quotientu_u_options_OPTIONu_u_MAPu_u_I)).
fof(2, axiom,![X1]:![X2]:s(X1,happ(s(t_fun(X1,X1),h4s_combins_i),s(X1,X2)))=s(X1,X2),file('i/f/quotient_option/OPTION__MAP__I', ah4s_combins_Iu_u_THM)).
fof(3, axiom,![X3]:![X4]:![X5]:![X6]:(![X2]:s(X4,happ(s(t_fun(X3,X4),X5),s(X3,X2)))=s(X4,happ(s(t_fun(X3,X4),X6),s(X3,X2)))=>s(t_fun(X3,X4),X5)=s(t_fun(X3,X4),X6)),file('i/f/quotient_option/OPTION__MAP__I', aHLu_EXT)).
fof(5, axiom,![X7]:![X1]:![X2]:![X5]:s(t_h4s_options_option(X7),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(X7)),h4s_options_optionu_u_map(s(t_fun(X1,X7),X5))),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))))=s(t_h4s_options_option(X7),h4s_options_some(s(X7,happ(s(t_fun(X1,X7),X5),s(X1,X2))))),file('i/f/quotient_option/OPTION__MAP__I', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(6, axiom,![X1]:![X7]:![X5]:s(t_h4s_options_option(X7),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(X7)),h4s_options_optionu_u_map(s(t_fun(X1,X7),X5))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X7),h4s_options_none),file('i/f/quotient_option/OPTION__MAP__I', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c1)).
fof(7, axiom,![X1]:![X9]:(s(t_h4s_options_option(X1),X9)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X9)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2)))),file('i/f/quotient_option/OPTION__MAP__I', ah4s_options_optionu_u_nchotomy)).
# SZS output end CNFRefutation
