# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))=>s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bit/BITS__ZERO', ch4s_bits_BITSu_u_ZERO)).
fof(21, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/bit/BITS__ZERO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, axiom,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/bit/BITS__ZERO', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(33, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,X20),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(36, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X19),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_0),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_MODu_u_1)).
fof(37, axiom,![X1]:![X20]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1))))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(38, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X20),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/bit/BITS__ZERO', ah4s_arithmetics_EXP0u_c0)).
fof(43, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X20),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(46, axiom,![X15]:![X1]:![X20]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X15)<=>(s(t_h4s_nums_num,X20)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X15)))|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_SUBu_u_RIGHTu_u_EQ)).
fof(55, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(57, axiom,![X15]:![X1]:![X20]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X15)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X15))))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_LESSu_u_LESSu_u_EQu_u_TRANS)).
fof(58, axiom,![X1]:![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),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,X20))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_ADDu_u_SYM)).
fof(59, axiom,![X1]:![X20]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X20))))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(61, axiom,![X1]:![X20]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X20))))=>?[X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X20)),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_LESSu_u_ADD)).
fof(63, axiom,![X1]:![X20]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X20))))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_NOTu_u_LEQ)).
fof(65, axiom,![X1]:![X20]:(~(s(t_h4s_nums_num,X20)=s(t_h4s_nums_num,X1))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,X1))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X20)))))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(66, axiom,![X1]:![X20]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1))))=>?[X15]:s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X15)))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_LESSu_u_EQUALu_u_ADD)).
fof(72, axiom,![X1]:![X20]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X20))))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_NOTu_u_LESS)).
fof(73, axiom,![X1]:![X20]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X20)=s(t_h4s_nums_num,X1))),file('i/f/bit/BITS__ZERO', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(75, axiom,![X1]:![X2]:![X3]:s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,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,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_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X2))))))),file('i/f/bit/BITS__ZERO', ah4s_bits_BITSu_u_THM)).
fof(81, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1)))),file('i/f/bit/BITS__ZERO', ah4s_bits_BITSu_u_LEQ)).
# SZS output end CNFRefutation
