# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_bits_modu_u_2exp),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/MOD__2EXP_c0', ch4s_numeralu_u_bits_MODu_u_2EXPu_c0)).
fof(6, axiom,![X1]:![X9]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_bits_modu_u_2exp),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X9),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,X1))))),file('i/f/numeral_bit/MOD__2EXP_c0', ah4s_bits_MODu_u_2EXPu_u_def)).
fof(29, axiom,![X23]:(s(t_h4s_nums_num,X23)=s(t_h4s_nums_num,h4s_nums_0)|?[X9]:s(t_h4s_nums_num,X23)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9)))),file('i/f/numeral_bit/MOD__2EXP_c0', ah4s_arithmetics_numu_u_CASES)).
fof(30, axiom,![X9]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9)))))),file('i/f/numeral_bit/MOD__2EXP_c0', ah4s_primu_u_recs_LESSu_u_0)).
fof(43, axiom,![X9]:![X24]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X9))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,X24)),file('i/f/numeral_bit/MOD__2EXP_c0', ah4s_arithmetics_LESSu_u_MOD)).
fof(47, axiom,![X9]:~(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,X9)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numeral_bit/MOD__2EXP_c0', ah4s_bits_TWOEXPu_u_NOTu_u_ZERO)).
# SZS output end CNFRefutation
