# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]: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,h4s_arithmetics_u_2a(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,X3))),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,h4s_bits_bits(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))),file('i/f/bit/BITS__MUL', ch4s_bits_BITSu_u_MUL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bit/BITS__MUL', aHLu_TRUTH)).
fof(5, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/bit/BITS__MUL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X7]:![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,X7)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),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__MUL', ah4s_bits_BITSu_u_ZERO3)).
fof(7, axiom,![X7]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X7))))=>![X8]:![X9]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X7))))),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,X7)))),file('i/f/bit/BITS__MUL', ah4s_arithmetics_MODu_u_TIMES2)).
fof(8, axiom,![X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(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,X7)))))),file('i/f/bit/BITS__MUL', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
# SZS output end CNFRefutation
