# 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(3, axiom,![X1]:![X3]:s(X1,happ(s(t_fun(X1,X1),h4s_combins_i),s(X1,X3)))=s(X1,X3),file('i/f/quotient_option/OPTION__MAP__I', ah4s_combins_Iu_u_THM)).
fof(5, axiom,![X4]:![X1]:![X3]:![X5]:s(t_h4s_options_option(X4),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(X4)),h4s_options_optionu_u_map(s(t_fun(X1,X4),X5))),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))))=s(t_h4s_options_option(X4),h4s_options_some(s(X4,happ(s(t_fun(X1,X4),X5),s(X1,X3))))),file('i/f/quotient_option/OPTION__MAP__I', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(6, axiom,![X4]:![X1]:![X3]:![X5]:(s(t_h4s_options_option(X4),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_options_option(X4)),h4s_options_optionu_u_map(s(t_fun(X1,X4),X5))),s(t_h4s_options_option(X1),X3)))=s(t_h4s_options_option(X4),h4s_options_none)<=>s(t_h4s_options_option(X1),X3)=s(t_h4s_options_option(X1),h4s_options_none)),file('i/f/quotient_option/OPTION__MAP__I', ah4s_options_OPTIONu_u_MAPu_u_EQu_u_NONE)).
fof(13, axiom,![X11]:![X12]:![X5]:![X13]:(![X3]:s(X12,happ(s(t_fun(X11,X12),X5),s(X11,X3)))=s(X12,happ(s(t_fun(X11,X12),X13),s(X11,X3)))=>s(t_fun(X11,X12),X5)=s(t_fun(X11,X12),X13)),file('i/f/quotient_option/OPTION__MAP__I', aHLu_EXT)).
fof(20, axiom,![X1]:![X20]:(s(t_h4s_options_option(X1),X20)=s(t_h4s_options_option(X1),h4s_options_none)|?[X3]:s(t_h4s_options_option(X1),X20)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))),file('i/f/quotient_option/OPTION__MAP__I', ah4s_options_optionu_u_nchotomy)).
# SZS output end CNFRefutation
