# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numerals_idub),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numerals_idub),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numerals_idub),s(t_h4s_nums_num,X1))))),file('i/f/numeral_bit/FDUB__iDUB', ch4s_numeralu_u_bits_FDUBu_u_iDUB)).
fof(3, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ADDu_u_SYM)).
fof(5, axiom,![X1]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numerals_idub),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_numerals_iDUB0)).
fof(6, axiom,![X4]:![X8]:s(t_h4s_nums_num,h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X8),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))))))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_numeralu_u_bits_FDUBu_u_defu_c1)).
fof(9, axiom,![X8]:s(t_h4s_nums_num,h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X8),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/FDUB__iDUB', ah4s_numeralu_u_bits_FDUBu_u_defu_c0)).
fof(10, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ADDu_u_0)).
fof(15, axiom,![X5]:(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_0)|?[X4]:s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_numu_u_CASES)).
# SZS output end CNFRefutation
