# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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__LEQ', ch4s_bits_BITSu_u_LEQ)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bit/BITS__LEQ', aHLu_FALSITY)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/bit/BITS__LEQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/bit/BITS__LEQ', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(13, axiom,![X12]:![X1]:![X13]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),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,X12)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))),file('i/f/bit/BITS__LEQ', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(17, axiom,![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))=>![X14]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X14))))),file('i/f/bit/BITS__LEQ', ah4s_arithmetics_DIVu_u_LESSu_u_EQ)).
fof(19, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bit/BITS__LEQ', ah4s_numerals_numeralu_u_lteu_c1)).
fof(20, axiom,![X15]:![X16]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X15))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X16))))),file('i/f/bit/BITS__LEQ', ah4s_bits_MODu_u_LEQ)).
fof(24, 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_div(s(t_h4s_nums_num,h4s_arithmetics_mod(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,h4s_nums_suc(s(t_h4s_nums_num,X3))))))),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))))),file('i/f/bit/BITS__LEQ', ah4s_bits_BITSu_u_THM2)).
fof(26, axiom,![X1]: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,X1)))))),file('i/f/bit/BITS__LEQ', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
# SZS output end CNFRefutation
