# 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_numeralu_u_bits_imodu_u_2exp),s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/numeral_bit/numeral__imod__2exp_c0', ch4s_numeralu_u_bits_numeralu_u_imodu_u_2expu_c0)).
fof(6, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/numeral__imod__2exp_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(7, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0)))=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/numeral__imod__2exp_c0', ah4s_arithmetics_EXP0u_c0)).
fof(8, axiom,![X9]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/numeral__imod__2exp_c0', ah4s_arithmetics_MODu_u_1)).
fof(9, axiom,![X6]:![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,X6))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,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,X6))))),file('i/f/numeral_bit/numeral__imod__2exp_c0', ah4s_bits_MODu_u_2EXPu_u_def)).
fof(10, axiom,s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_numeralu_u_bits_imodu_u_2exp)=s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_bits_modu_u_2exp),file('i/f/numeral_bit/numeral__imod__2exp_c0', ah4s_numeralu_u_bits_iMODu_u_2EXP0)).
# SZS output end CNFRefutation
