# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),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_nums_suc(s(t_h4s_nums_num,X1))))))))=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2)),file('i/f/bit/BITS__ZEROL', ch4s_bits_BITSu_u_ZEROL)).
fof(4, axiom,![X6]:![X1]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X6),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_nums_suc(s(t_h4s_nums_num,X1))))))),file('i/f/bit/BITS__ZEROL', ah4s_bits_BITSu_u_ZERO3)).
fof(44, axiom,![X6]:![X12]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X6)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,X6))),file('i/f/bit/BITS__ZEROL', ah4s_arithmetics_LESSu_u_EQ)).
fof(54, axiom,![X6]:![X12]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X6),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_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,X12)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),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_nums_suc(s(t_h4s_nums_num,X12))))))),file('i/f/bit/BITS__ZEROL', ah4s_arithmetics_EXP2u_u_LT)).
fof(61, axiom,![X6]:![X26]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X26),s(t_h4s_nums_num,X6))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X26),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X26)),file('i/f/bit/BITS__ZEROL', ah4s_arithmetics_LESSu_u_MOD)).
# SZS output end CNFRefutation
