# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]: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_bit2(s(t_h4s_nums_num,X1)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__pre_c3', ch4s_numerals_numeralu_u_preu_c3)).
fof(7, 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__pre_c3', ah4s_nums_NOTu_u_SUC)).
fof(8, axiom,![X4]:(s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_0)|?[X1]:s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))),file('i/f/numeral/numeral__pre_c3', ah4s_arithmetics_numu_u_CASES)).
fof(26, axiom,![X1]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))),file('i/f/numeral/numeral__pre_c3', ah4s_numerals_numeralu_u_sucu_c1)).
fof(31, 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__pre_c3', ah4s_arithmetics_BIT10)).
fof(33, 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__pre_c3', ah4s_numerals_numeralu_u_preu_c1)).
fof(35, axiom,![X4]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),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__pre_c3', ah4s_arithmetics_ADD1)).
fof(41, axiom,![X4]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,X4),file('i/f/numeral/numeral__pre_c3', ah4s_primu_u_recs_PRE0u_c1)).
fof(75, axiom,![X1]:![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),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,X4),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__pre_c3', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(76, axiom,![X1]:![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),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,X4),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__pre_c3', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(81, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X4),file('i/f/numeral/numeral__pre_c3', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
