# 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),h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_idiv2))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_idiv2),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_idiv2),s(t_h4s_nums_num,X1))))),file('i/f/numeral_bit/FDUB__iDIV2', ch4s_numeralu_u_bits_FDUBu_u_iDIV2)).
fof(7, axiom,![X1]:![X10]:s(t_h4s_nums_num,h4s_numeralu_u_bits_sfunpow(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_idiv2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_numeralu_u_bits_sfunpow(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_idiv2))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_idiv2),s(t_h4s_nums_num,X1))))),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_numeralu_u_bits_NUMERALu_u_SFUNPOWu_u_iDIV2u_c2)).
fof(9, axiom,![X3]:s(t_h4s_nums_num,h4s_numeralu_u_bits_sfunpow(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_idiv2),s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_numeralu_u_bits_NUMERALu_u_SFUNPOWu_u_iDIV2u_c1)).
fof(10, axiom,![X10]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_idiv2),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,X10),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_numeralu_u_bits_NUMERALu_u_iDIV2u_c2)).
fof(11, axiom,![X10]:![X6]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X6))),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X6),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X6),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X10))))))),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_numeralu_u_bits_FDUBu_u_defu_c1)).
fof(12, axiom,![X6]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X6))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_numeralu_u_bits_FDUBu_u_defu_c0)).
fof(17, axiom,![X1]:![X6]:s(t_h4s_nums_num,h4s_numeralu_u_bits_sfunpow(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X6),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_numeralu_u_bits_SFUNPOWu_u_defu_c0)).
fof(19, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(22, axiom,![X12]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),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/FDUB__iDIV2', ah4s_arithmetics_ADD1)).
fof(26, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_arithmetics_BIT10)).
fof(29, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,X12),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(34, axiom,![X12]:(s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_0)|?[X10]:s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X10)))),file('i/f/numeral_bit/FDUB__iDIV2', ah4s_arithmetics_numu_u_CASES)).
# SZS output end CNFRefutation
