# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(6, axiom,![X7]:![X1]:![X9]:![X6]:?[X11]:((p(s(t_bool,X11))<=>s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_options_option(X7),happ(s(t_fun(t_h4s_nums_num,t_h4s_options_option(X7)),h4s_llists_llistu_u_rep(s(t_h4s_llists_llist(X7),h4s_llists_lcons(s(X7,X9),s(t_h4s_llists_llist(X7),X1))))),s(t_h4s_nums_num,X6)))=s(t_h4s_options_option(X7),h4s_bools_cond(s(t_bool,X11),s(t_h4s_options_option(X7),h4s_options_some(s(X7,X9))),s(t_h4s_options_option(X7),happ(s(t_fun(t_h4s_nums_num,t_h4s_options_option(X7)),h4s_llists_llistu_u_rep(s(t_h4s_llists_llist(X7),X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))),file('i/f/llist/LHD__LCONS', ah4s_llists_llistu_u_repu_u_LCONS)).
fof(8, axiom,![X7]:![X13]:s(t_h4s_options_option(X7),h4s_llists_lhd(s(t_h4s_llists_llist(X7),X13)))=s(t_h4s_options_option(X7),happ(s(t_fun(t_h4s_nums_num,t_h4s_options_option(X7)),h4s_llists_llistu_u_rep(s(t_h4s_llists_llist(X7),X13))),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/llist/LHD__LCONS', ah4s_llists_LHD0)).
fof(22, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t0)<=>p(s(t_bool,X1))),file('i/f/llist/LHD__LCONS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(95, axiom,![X7]:![X22]:![X23]:s(X7,h4s_bools_cond(s(t_bool,t0),s(X7,X23),s(X7,X22)))=s(X7,X23),file('i/f/llist/LHD__LCONS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(133, conjecture,![X7]:![X1]:![X9]:s(t_h4s_options_option(X7),h4s_llists_lhd(s(t_h4s_llists_llist(X7),h4s_llists_lcons(s(X7,X9),s(t_h4s_llists_llist(X7),X1)))))=s(t_h4s_options_option(X7),h4s_options_some(s(X7,X9))),file('i/f/llist/LHD__LCONS', ch4s_llists_LHDu_u_LCONS)).
# SZS output end CNFRefutation
