# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:![X9]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_bits_divu_u_2exp(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/bit/BITSLT__THM', ah4s_bits_BITSu_u_def)).
fof(7, axiom,![X6]:![X7]:s(t_h4s_nums_num,h4s_bits_modu_u_2exp(s(t_h4s_nums_num,X6),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,X6))))),file('i/f/bit/BITSLT__THM', ah4s_bits_MODu_u_2EXPu_u_def)).
fof(8, axiom,![X6]:![X7]:s(t_h4s_nums_num,h4s_bits_divu_u_2exp(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_div(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,X6))))),file('i/f/bit/BITSLT__THM', ah4s_bits_DIVu_u_2EXPu_u_def)).
fof(16, axiom,![X14]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),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/bit/BITSLT__THM', ah4s_arithmetics_ADD1)).
fof(49, axiom,![X7]:![X14]:(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_nums_0)<=>(s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_nums_0)&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))))),file('i/f/bit/BITSLT__THM', ah4s_arithmetics_EXPu_u_EQu_u_0)).
fof(55, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,X14),file('i/f/bit/BITSLT__THM', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(70, axiom,![X6]:![X7]:s(t_h4s_nums_num,h4s_numerals_onecount(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/bit/BITSLT__THM', ah4s_numerals_onecountu_u_defu_c2)).
fof(86, axiom,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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/bit/BITSLT__THM', ah4s_arithmetics_TWO)).
fof(87, 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/bit/BITSLT__THM', ah4s_arithmetics_ONE)).
fof(89, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/bit/BITSLT__THM', ah4s_arithmetics_BIT10)).
fof(92, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bit/BITSLT__THM', ah4s_arithmetics_ALTu_u_ZERO)).
fof(96, axiom,![X7]:(~(s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X7))))),file('i/f/bit/BITSLT__THM', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(97, axiom,![X7]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bit/BITSLT__THM', ah4s_nums_NOTu_u_SUC)).
fof(115, axiom,![X7]:![X14]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X14)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X14))))))),file('i/f/bit/BITSLT__THM', ah4s_numerals_numeralu_u_addu_c2)).
fof(116, axiom,![X7]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,X7),file('i/f/bit/BITSLT__THM', ah4s_numerals_numeralu_u_addu_c0)).
fof(122, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X7),file('i/f/bit/BITSLT__THM', ah4s_numerals_numeralu_u_distribu_c1)).
fof(124, 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))))=>![X38]:(s(t_h4s_nums_num,X38)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X38),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,X38),s(t_h4s_nums_num,X7)))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X38),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X7)))))),file('i/f/bit/BITSLT__THM', ah4s_arithmetics_DIVISION)).
fof(133, conjecture,![X7]:![X8]:![X9]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8),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_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,X8)))))))),file('i/f/bit/BITSLT__THM', ch4s_bits_BITSLTu_u_THM)).
# SZS output end CNFRefutation
