# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__eq_c7', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(8, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X8),file('i/f/numeral/numeral__eq_c7', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(10, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral/numeral__eq_c7', ah4s_arithmetics_BIT10)).
fof(13, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__eq_c7', ah4s_arithmetics_ALTu_u_ZERO)).
fof(14, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__eq_c7', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(17, axiom,![X7]:![X8]:(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))<=>s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,X7)),file('i/f/numeral/numeral__eq_c7', ah4s_primu_u_recs_INVu_u_SUCu_u_EQ)).
fof(23, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/numeral/numeral__eq_c7', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(24, axiom,![X12]:![X11]:![X6]:(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,X6))))),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12)))<=>(s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X6)))))))&s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X6)))))))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/numeral/numeral__eq_c7', ah4s_arithmetics_NUMERALu_u_MULTu_u_EQu_u_DIVu_c1)).
fof(43, axiom,![X7]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7))),file('i/f/numeral/numeral__eq_c7', ah4s_numerals_numeralu_u_sucu_c1)).
fof(68, axiom,![X7]: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,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X7))),file('i/f/numeral/numeral__eq_c7', ah4s_arithmetics_TIMES2)).
fof(117, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X7),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/numeral__eq_c7', ah4s_arithmetics_DIV2u_u_def)).
fof(133, conjecture,![X7]:![X8]:(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X8)))<=>s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,X8)),file('i/f/numeral/numeral__eq_c7', ch4s_numerals_numeralu_u_equ_c7)).
# SZS output end CNFRefutation
