# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_bits_modu_u_2expu_u_eq(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_bool,t),file('i/f/numeral_bit/MOD__2EXP__EQ_c0', ch4s_numeralu_u_bits_MODu_u_2EXPu_u_EQu_c0)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/numeral_bit/MOD__2EXP__EQ_c0', aHLu_BOOLu_CASES)).
fof(8, axiom,~(p(s(t_bool,f))),file('i/f/numeral_bit/MOD__2EXP__EQ_c0', aHLu_FALSITY)).
fof(9, axiom,![X7]:![X1]:![X2]:(p(s(t_bool,h4s_bits_modu_u_2expu_u_eq(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))<=>s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1)))),file('i/f/numeral_bit/MOD__2EXP__EQ_c0', ah4s_bits_MODu_u_2EXPu_u_EQu_u_def)).
fof(10, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X8),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/MOD__2EXP__EQ_c0', ah4s_arithmetics_MODu_u_1)).
fof(11, axiom,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_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/MOD__2EXP__EQ_c0', ah4s_numerals_TWOu_u_EXPu_u_THMu_c0)).
fof(12, axiom,![X4]:![X7]:s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),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,X4))))),file('i/f/numeral_bit/MOD__2EXP__EQ_c0', ah4s_bits_MODu_u_2EXPu_u_def)).
# SZS output end CNFRefutation
