# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_arithmetics_exp(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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(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_zero))))),file('i/f/numeral/TWO__EXP__THM_c1', ch4s_numerals_TWOu_u_EXPu_u_THMu_c1)).
fof(21, axiom,![X1]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_arithmetics_exp(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,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),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/TWO__EXP__THM_c1', ah4s_numerals_texpu_u_help0)).
fof(24, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_nums_0)))=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/TWO__EXP__THM_c1', ah4s_arithmetics_EXP0u_c0)).
fof(26, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/TWO__EXP__THM_c1', ah4s_numerals_numeralu_u_distribu_c9)).
fof(27, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/numeral/TWO__EXP__THM_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(29, 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/TWO__EXP__THM_c1', ah4s_arithmetics_ONE)).
fof(33, 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/TWO__EXP__THM_c1', ah4s_arithmetics_ADD1)).
fof(38, axiom,![X22]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X22)))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X22))),file('i/f/numeral/TWO__EXP__THM_c1', ah4s_numerals_numeralu_u_texpu_u_helpu_c0)).
fof(39, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/TWO__EXP__THM_c1', ah4s_arithmetics_ALTu_u_ZERO)).
fof(52, 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/TWO__EXP__THM_c1', ah4s_arithmetics_numu_u_CASES)).
fof(61, axiom,![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_bit1(s(t_h4s_nums_num,X1)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))))),file('i/f/numeral/TWO__EXP__THM_c1', ah4s_numerals_numeralu_u_preu_c2)).
fof(62, 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/TWO__EXP__THM_c1', ah4s_primu_u_recs_PRE0u_c1)).
fof(63, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/TWO__EXP__THM_c1', ah4s_primu_u_recs_PRE0u_c0)).
# SZS output end CNFRefutation
