# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(X1,h4s_arithmetics_funpow(s(t_fun(X1,X1),X4),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X3))))),s(X1,X2)))=s(X1,h4s_arithmetics_funpow(s(t_fun(X1,X1),X4),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3))))),s(X1,happ(s(t_fun(X1,X1),X4),s(X1,X2))))),file('i/f/numeral/numeral__funpow_c2', ch4s_numerals_numeralu_u_funpowu_c2)).
fof(4, axiom,![X1]:![X2]:![X3]:![X4]:s(X1,h4s_arithmetics_funpow(s(t_fun(X1,X1),X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(X1,X2)))=s(X1,h4s_arithmetics_funpow(s(t_fun(X1,X1),X4),s(t_h4s_nums_num,X3),s(X1,happ(s(t_fun(X1,X1),X4),s(X1,X2))))),file('i/f/numeral/numeral__funpow_c2', ah4s_arithmetics_FUNPOW0u_c1)).
fof(6, axiom,![X1]:![X2]:![X3]:![X4]:s(X1,h4s_arithmetics_funpow(s(t_fun(X1,X1),X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(X1,X2)))=s(X1,happ(s(t_fun(X1,X1),X4),s(X1,h4s_arithmetics_funpow(s(t_fun(X1,X1),X4),s(t_h4s_nums_num,X3),s(X1,X2))))),file('i/f/numeral/numeral__funpow_c2', ah4s_arithmetics_FUNPOWu_u_SUC)).
fof(21, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/numeral/numeral__funpow_c2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(25, 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/numeral/numeral__funpow_c2', ah4s_arithmetics_ONE)).
fof(26, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__funpow_c2', ah4s_arithmetics_ALTu_u_ZERO)).
fof(28, axiom,![X3]:![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X3))))),file('i/f/numeral/numeral__funpow_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(29, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X6),file('i/f/numeral/numeral__funpow_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(30, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral/numeral__funpow_c2', ah4s_arithmetics_BIT10)).
fof(31, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))))),file('i/f/numeral/numeral__funpow_c2', ah4s_arithmetics_BIT20)).
# SZS output end CNFRefutation
