# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))),file('i/f/numeral/numeral__texp__help_c1', ch4s_numerals_numeralu_u_texpu_u_helpu_c1)).
fof(21, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))))),file('i/f/numeral/numeral__texp__help_c1', ah4s_numerals_texpu_u_helpu_u_defu_c1)).
fof(25, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_bit1(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,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral/numeral__texp__help_c1', ah4s_arithmetics_BIT10)).
fof(31, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/numeral/numeral__texp__help_c1', ah4s_numerals_numeralu_u_preu_c1)).
fof(33, 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__texp__help_c1', ah4s_arithmetics_ONE)).
fof(36, axiom,![X21]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),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/numeral/numeral__texp__help_c1', ah4s_arithmetics_ADD1)).
fof(39, axiom,![X1]:![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__texp__help_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(40, axiom,![X21]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21)))))=s(t_h4s_nums_num,X21),file('i/f/numeral/numeral__texp__help_c1', ah4s_primu_u_recs_PRE0u_c1)).
fof(45, axiom,![X21]:(s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,h4s_nums_0)|?[X1]:s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))),file('i/f/numeral/numeral__texp__help_c1', ah4s_arithmetics_numu_u_CASES)).
fof(48, axiom,![X1]:~(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/numeral/numeral__texp__help_c1', ah4s_nums_NOTu_u_SUC)).
fof(49, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X5),file('i/f/numeral/numeral__texp__help_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
# SZS output end CNFRefutation
