# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_options_option(X1),h4s_options_optionu_u_case(s(t_h4s_options_option(X1),X2),s(t_h4s_options_option(X1),X2),s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some)))=s(t_h4s_options_option(X1),X2),file('i/f/option/option__case__SOME__ID', ch4s_options_optionu_u_caseu_u_SOMEu_u_ID)).
fof(6, axiom,![X7]:![X1]:![X2]:![X8]:![X5]:s(X7,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2))),s(X7,X8),s(t_fun(X1,X7),X5)))=s(X7,happ(s(t_fun(X1,X7),X5),s(X1,X2))),file('i/f/option/option__case__SOME__ID', ah4s_options_optionu_u_caseu_u_defu_c1)).
fof(8, axiom,![X1]:![X10]:(s(t_h4s_options_option(X1),X10)=s(t_h4s_options_option(X1),h4s_options_none)|?[X2]:s(t_h4s_options_option(X1),X10)=s(t_h4s_options_option(X1),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2)))),file('i/f/option/option__case__SOME__ID', ah4s_options_optionu_u_nchotomy)).
fof(9, axiom,![X1]:![X7]:![X8]:![X5]:s(X7,h4s_options_optionu_u_case(s(t_h4s_options_option(X1),h4s_options_none),s(X7,X8),s(t_fun(X1,X7),X5)))=s(X7,X8),file('i/f/option/option__case__SOME__ID', ah4s_options_optionu_u_caseu_u_defu_c0)).
# SZS output end CNFRefutation
