# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(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(21, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/MOD__2EXP_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(22, 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,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X11)))))),file('i/f/numeral_bit/MOD__2EXP_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EXP)).
fof(23, axiom,![X10]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numeral_bit/MOD__2EXP_c0', ah4s_arithmetics_ZEROu_u_MOD)).
fof(24, axiom,![X1]:![X10]:s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X10),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(26, axiom,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_nums_suc(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/numeral_bit/MOD__2EXP_c0', ah4s_arithmetics_TWO)).
# SZS output end CNFRefutation
