# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X3),s(t_h4s_sptrees_spt(X1),X2)))=s(t_h4s_options_option(X1),h4s_options_none)<=>~(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),h4s_sptrees_domain(s(t_h4s_sptrees_spt(X1),X2)))))))),file('i/f/sptree/lookup__NONE__domain', ch4s_sptrees_lookupu_u_NONEu_u_domain)).
fof(5, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),h4s_sptrees_domain(s(t_h4s_sptrees_spt(X1),X2))))))<=>?[X8]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X3),s(t_h4s_sptrees_spt(X1),X2)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X8)))),file('i/f/sptree/lookup__NONE__domain', ah4s_sptrees_domainu_u_lookup)).
fof(6, axiom,![X1]:![X9]:(s(t_h4s_options_option(X1),X9)=s(t_h4s_options_option(X1),h4s_options_none)|?[X6]:s(t_h4s_options_option(X1),X9)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X6)))),file('i/f/sptree/lookup__NONE__domain', ah4s_options_optionu_u_nchotomy)).
fof(7, axiom,![X1]:![X6]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X6)))),file('i/f/sptree/lookup__NONE__domain', ah4s_options_NOTu_u_NONEu_u_SOME)).
# SZS output end CNFRefutation
