# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_nums_num,h4s_numeralu_u_bits_ilog2(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/numeral__ilog2_c0', ch4s_numeralu_u_bits_numeralu_u_ilog2u_c0)).
fof(11, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,X3),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(12, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(14, axiom,![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X11),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_arithmetics_ADDu_u_0)).
fof(15, axiom,s(t_h4s_nums_num,h4s_nums_suc(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/numeral_bit/numeral__ilog2_c0', ah4s_numerals_numeralu_u_distribu_c13)).
fof(16, axiom,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_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/numeral_bit/numeral__ilog2_c0', ah4s_numerals_TWOu_u_EXPu_u_THMu_c0)).
fof(17, axiom,![X10]:![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_arithmetics_ADDu_u_SYM)).
fof(19, axiom,![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_numerals_numeralu_u_ltu_c2)).
fof(20, axiom,![X10]:![X11]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X11))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))))),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_numerals_numeralu_u_ltu_c5)).
fof(21, axiom,![X10]:s(t_h4s_nums_num,h4s_numeralu_u_bits_ilog2(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_bits_log2(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),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/numeral_bit/numeral__ilog2_c0', ah4s_numeralu_u_bits_iLOG2u_u_def)).
fof(22, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_numerals_numeralu_u_preu_c1)).
fof(23, axiom,![X12]:s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12))),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_numerals_numeralu_u_texpu_u_helpu_c0)).
fof(24, axiom,![X10]: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_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_texpu_u_help(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))))),s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_numerals_TWOu_u_EXPu_u_THMu_c1)).
fof(25, axiom,![X13]:![X10]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(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,X13))),s(t_h4s_nums_num,X10))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),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,X13)))))))))=>s(t_h4s_nums_num,h4s_bits_log2(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,X13)),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_bits_LOG2u_u_UNIQUE)).
fof(26, axiom,~(p(s(t_bool,f))),file('i/f/numeral_bit/numeral__ilog2_c0', aHLu_FALSITY)).
fof(29, axiom,![X11]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X11)))),file('i/f/numeral_bit/numeral__ilog2_c0', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
# SZS output end CNFRefutation
