# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X3))))),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3))))),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),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_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X5))))),s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,happ(s(t_fun(t_bool,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,X6))),s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X2))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ch4s_numeralu_u_bits_NUMERALu_u_BITu_u_MODFu_c4)).
fof(13, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(14, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_ALTu_u_ZERO)).
fof(15, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X3),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_numeralu_u_distribu_c1)).
fof(17, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_bitu_u_modf(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X2),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_arithmetics_u_2b(s(t_h4s_nums_num,X6),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_arithmetics_u_2a(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,X5))),s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,happ(s(t_fun(t_bool,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_bool,t_bool)),X4),s(t_h4s_nums_num,X6))),s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X2))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numeralu_u_bits_BITu_u_MODFu_u_defu_c1)).
fof(23, axiom,![X16]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X16)))=s(t_h4s_nums_num,X16),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_MULTu_u_LEFTu_u_1)).
fof(25, axiom,![X17]:![X3]:![X16]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X17))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_RIGHTu_u_ADDu_u_DISTRIB)).
fof(26, axiom,![X3]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X3))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_numeralu_u_sucu_c1)).
fof(28, axiom,s(t_h4s_nums_num,h4s_nums_suc(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__BIT__MODF_c4', ah4s_numerals_numeralu_u_distribu_c13)).
fof(32, axiom,![X3]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,X3),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_numeralu_u_addu_c1)).
fof(33, axiom,![X3]:![X16]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X16)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X16))))))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_numeralu_u_addu_c2)).
fof(34, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X3),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/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_arithmetics_DIV2u_u_def)).
fof(45, axiom,![X2]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2))),file('i/f/numeral_bit/NUMERAL__BIT__MODF_c4', ah4s_numerals_iDUB0)).
# SZS output end CNFRefutation
