# 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_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(25, 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(28, axiom,![X19]:![X4]: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),X4))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))))))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_numeralu_u_bits_FDUBu_u_defu_c1)).
fof(29, axiom,![X4]: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),X4))),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(39, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_BIT10)).
fof(40, axiom,![X19]:![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X19))))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(41, axiom,![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X29),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(42, axiom,![X19]:![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X29))),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X19))))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(43, axiom,![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X29)))=s(t_h4s_nums_num,X29),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(44, axiom,![X29]:(s(t_h4s_nums_num,X29)=s(t_h4s_nums_num,h4s_nums_0)|?[X19]:s(t_h4s_nums_num,X29)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19)))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_numu_u_CASES)).
fof(46, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ALTu_u_ZERO)).
fof(47, axiom,![X19]:![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X29))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ADDu_u_SYM)).
fof(50, axiom,![X19]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X19)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X19))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_numerals_numeralu_u_sucu_c1)).
fof(53, axiom,![X15]:![X19]:![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X15))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_arithmetics_ADDu_u_ASSOC)).
fof(55, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/numeral_bit/FDUB__iDUB', ah4s_numerals_numeralu_u_sucu_c0)).
# SZS output end CNFRefutation
