# 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_bit1(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_primu_u_recs_pre(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_c1', ch4s_numerals_numeralu_u_funpowu_c1)).
fof(6, 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/numeral__funpow_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(8, axiom,![X3]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),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,X5),s(t_h4s_nums_num,X3))))),file('i/f/numeral/numeral__funpow_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(9, axiom,![X5]:(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_0)|?[X3]:s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))),file('i/f/numeral/numeral__funpow_c1', ah4s_arithmetics_numu_u_CASES)).
fof(10, axiom,![X1]:![X2]:![X4]:s(X1,h4s_arithmetics_funpow(s(t_fun(X1,X1),X4),s(t_h4s_nums_num,h4s_nums_0),s(X1,X2)))=s(X1,X2),file('i/f/numeral/numeral__funpow_c1', ah4s_arithmetics_FUNPOW0u_c0)).
fof(11, 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_c1', ah4s_arithmetics_FUNPOW0u_c1)).
fof(13, axiom,![X5]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5)))))=s(t_h4s_nums_num,X5),file('i/f/numeral/numeral__funpow_c1', ah4s_primu_u_recs_PRE0u_c1)).
fof(14, 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_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(15, 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_c1', ah4s_arithmetics_BIT10)).
# SZS output end CNFRefutation
