# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/intto/BIT1__nz', ch4s_inttos_BIT1u_u_nz)).
fof(25, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/intto/BIT1__nz', ah4s_arithmetics_ALTu_u_ZERO)).
fof(27, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/intto/BIT1__nz', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(31, axiom,![X1]:~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/intto/BIT1__nz', ah4s_arithmetics_NOTu_u_SUCu_u_LESSu_u_EQu_u_0)).
fof(37, axiom,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_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/intto/BIT1__nz', ah4s_arithmetics_ONE)).
fof(42, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/intto/BIT1__nz', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(50, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_exp(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,X1)))))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/intto/BIT1__nz', ah4s_numerals_numeralu_u_distribu_c9)).
fof(53, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X20),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/intto/BIT1__nz', ah4s_arithmetics_EXP0u_c0)).
# SZS output end CNFRefutation
