# 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(4, axiom,![X5]:![X1]:![X2]:![X6]:![X7]:s(X5,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(X5,X6),s(t_fun(X1,X5),X7)))=s(X5,happ(s(t_fun(X1,X5),X7),s(X1,X2))),file('i/f/option/option__case__SOME__ID', ah4s_options_optionu_u_caseu_u_defu_c1)).
fof(6, axiom,![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),h4s_options_none),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', ah4s_options_optionu_u_caseu_u_ID)).
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)).
# SZS output end CNFRefutation
