# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X5),s(t_h4s_options_option(X2),X4)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))<=>?[X6]:(s(t_h4s_options_option(X2),X4)=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X6)))&s(X1,X3)=s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X6))))),file('i/f/option/OPTION__MAP__EQ__SOME', ch4s_options_OPTIONu_u_MAPu_u_EQu_u_SOME)).
fof(18, axiom,![X1]:![X2]:![X4]:![X5]:s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X5),s(t_h4s_options_option(X2),h4s_options_some(s(X2,X4)))))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X4))))),file('i/f/option/OPTION__MAP__EQ__SOME', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(19, axiom,![X2]:![X3]:![X4]:(s(t_h4s_options_option(X2),h4s_options_some(s(X2,X4)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3)))<=>s(X2,X4)=s(X2,X3)),file('i/f/option/OPTION__MAP__EQ__SOME', ah4s_options_SOMEu_u_11)).
fof(20, axiom,![X2]:![X1]:![X5]:s(t_h4s_options_option(X1),h4s_options_optionu_u_map(s(t_fun(X2,X1),X5),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__SOME', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c1)).
fof(21, axiom,![X2]:![X21]:(s(t_h4s_options_option(X2),X21)=s(t_h4s_options_option(X2),h4s_options_none)|?[X4]:s(t_h4s_options_option(X2),X21)=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X4)))),file('i/f/option/OPTION__MAP__EQ__SOME', ah4s_options_optionu_u_nchotomy)).
fof(22, axiom,![X2]:![X4]:~(s(t_h4s_options_option(X2),h4s_options_none)=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X4)))),file('i/f/option/OPTION__MAP__EQ__SOME', ah4s_options_NOTu_u_NONEu_u_SOME)).
# SZS output end CNFRefutation
