# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_options_option(X1),h4s_llists_lhd(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X3),s(t_h4s_llists_llist(X1),X2)))))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3))),file('i/f/llist/LHD__LCONS', ch4s_llists_LHDu_u_LCONS)).
fof(8, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,t0),s(X1,X8),s(X1,X7)))=s(X1,X8),file('i/f/llist/LHD__LCONS', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(10, axiom,![X1]:![X2]:![X3]:![X4]:?[X13]:((p(s(t_bool,X13))<=>s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_options_option(X1),h4s_llists_llistu_u_rep(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X3),s(t_h4s_llists_llist(X1),X2))),s(t_h4s_nums_num,X4)))=s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X13),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3))),s(t_h4s_options_option(X1),h4s_llists_llistu_u_rep(s(t_h4s_llists_llist(X1),X2),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X4),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(11, axiom,![X1]:![X14]:s(t_h4s_options_option(X1),h4s_llists_lhd(s(t_h4s_llists_llist(X1),X14)))=s(t_h4s_options_option(X1),h4s_llists_llistu_u_rep(s(t_h4s_llists_llist(X1),X14),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/llist/LHD__LCONS', ah4s_llists_LHD0)).
fof(12, axiom,~(p(s(t_bool,f))),file('i/f/llist/LHD__LCONS', aHLu_FALSITY)).
fof(13, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/llist/LHD__LCONS', aHLu_BOOLu_CASES)).
fof(14, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/llist/LHD__LCONS', ah4s_arithmetics_SUBu_u_0u_c0)).
# SZS output end CNFRefutation
