# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_bitstrings_v2n(s(t_h4s_lists_list(t_bool),X1))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),X1)))))))),file('i/f/bitstring/v2n__lt', ch4s_bitstrings_v2nu_u_lt)).
fof(14, axiom,![X8]:![X9]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))))),file('i/f/bitstring/v2n__lt', ah4s_arithmetics_NOTu_u_LESS)).
fof(15, axiom,![X10]:![X11]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_l2n(s(t_h4s_nums_num,X11))),s(t_h4s_lists_list(t_h4s_nums_num),X10))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_nums_num),X10))))))))),file('i/f/bitstring/v2n__lt', ah4s_numposreps_l2nu_u_lt)).
fof(16, axiom,![X1]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_nums_num),h4s_bitstrings_bitify(s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_nil),s(t_h4s_lists_list(t_bool),X1)))))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),X1))),file('i/f/bitstring/v2n__lt', ah4s_bitstrings_lengthu_u_bitifyu_u_null)).
fof(17, axiom,![X8]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bitstring/v2n__lt', ah4s_numerals_numeralu_u_distribu_c27)).
fof(18, axiom,s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_numu_u_fromu_u_binu_u_list)=s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_l2n(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/bitstring/v2n__lt', ah4s_numposreps_numu_u_fromu_u_binu_u_listu_u_def)).
fof(19, axiom,![X8]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bitstring/v2n__lt', ah4s_numerals_numeralu_u_lteu_c2)).
fof(20, axiom,![X10]:s(t_h4s_nums_num,h4s_bitstrings_v2n(s(t_h4s_lists_list(t_bool),X10)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_numposreps_numu_u_fromu_u_binu_u_list),s(t_h4s_lists_list(t_h4s_nums_num),h4s_bitstrings_bitify(s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_nil),s(t_h4s_lists_list(t_bool),X10))))),file('i/f/bitstring/v2n__lt', ah4s_bitstrings_v2nu_u_def)).
fof(22, axiom,~(p(s(t_bool,f))),file('i/f/bitstring/v2n__lt', aHLu_FALSITY)).
fof(24, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/bitstring/v2n__lt', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
# SZS output end CNFRefutation
