# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(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),X3),s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some)))=s(t_h4s_options_option(X1),X2)),file('i/f/option/option__CLAUSES_c13', ch4s_options_optionu_u_CLAUSESu_c13)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/option/option__CLAUSES_c13', aHLu_FALSITY)).
fof(10, 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),happ(s(t_fun(X1,t_h4s_options_option(X1)),h4s_options_some),s(X1,X2)))),file('i/f/option/option__CLAUSES_c13', ah4s_options_optionu_u_nchotomy)).
fof(12, axiom,![X10]:![X1]:![X2]:![X11]:![X7]:s(X10,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(X10,X11),s(t_fun(X1,X10),X7)))=s(X10,happ(s(t_fun(X1,X10),X7),s(X1,X2))),file('i/f/option/option__CLAUSES_c13', ah4s_options_optionu_u_caseu_u_defu_c1)).
fof(15, axiom,![X1]:s(t_bool,h4s_options_isu_u_some(s(t_h4s_options_option(X1),h4s_options_none)))=s(t_bool,f),file('i/f/option/option__CLAUSES_c13', ah4s_options_ISu_u_SOMEu_u_DEFu_c1)).
# SZS output end CNFRefutation
