# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X2)))))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2))),file('i/f/sptree/lookup__compute_c2', ch4s_sptrees_lookupu_u_computeu_c2)).
fof(4, axiom,![X1]:![X5]:![X2]:?[X6]:((p(s(t_bool,X6))<=>s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X5),s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X2)))))=s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X6),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X2))),s(t_h4s_options_option(X1),h4s_options_none)))),file('i/f/sptree/lookup__compute_c2', ah4s_sptrees_lookupu_u_defu_c1)).
fof(12, axiom,![X1]:![X21]:![X22]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X22),s(X1,X21)))=s(X1,X22),file('i/f/sptree/lookup__compute_c2', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X1]:![X21]:![X22]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X22),s(X1,X21)))=s(X1,X21),file('i/f/sptree/lookup__compute_c2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(19, axiom,![X1]:![X4]:![X25]:![X12]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X12),s(t_h4s_options_option(X1),h4s_options_none),s(t_h4s_options_option(X1),X25)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X4)))<=>(~(p(s(t_bool,X12)))&s(t_h4s_options_option(X1),X25)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X4))))),file('i/f/sptree/lookup__compute_c2', ah4s_options_IFu_u_NONEu_u_EQUALSu_u_OPTIONu_c3)).
fof(28, axiom,![X21]:![X22]:((p(s(t_bool,X22))=>p(s(t_bool,X21)))=>((p(s(t_bool,X21))=>p(s(t_bool,X22)))=>s(t_bool,X22)=s(t_bool,X21))),file('i/f/sptree/lookup__compute_c2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
# SZS output end CNFRefutation
