# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_bits_lowestu_u_setu_u_bit(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ch4s_numeralu_u_bits_LOWESTu_u_SETu_u_BITu_u_computeu_c1)).
fof(10, axiom,![X1]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_numerals_numeralu_u_distribu_c17)).
fof(12, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))=>s(t_h4s_nums_num,h4s_bits_lowestu_u_setu_u_bit(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_u_2b(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_bits_lowestu_u_setu_u_bit(s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,X1)))))))))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_numeralu_u_bits_LOWESTu_u_SETu_u_BIT)).
fof(14, axiom,![X1]:(s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))<=>p(s(t_bool,f))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_numerals_numeralu_u_equ_c0)).
fof(16, axiom,![X1]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X1))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(18, axiom,![X1]:s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_numerals_numeralu_u_distribu_c32)).
fof(19, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_numerals_numeralu_u_div2u_c1)).
fof(20, axiom,![X1]:p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_numerals_numeralu_u_evenoddu_c5)).
fof(22, axiom,~(p(s(t_bool,f))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', aHLu_FALSITY)).
fof(29, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', aHLu_BOOLu_CASES)).
fof(33, axiom,![X2]:![X7]:![X8]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X8),s(X2,X7)))=s(X2,X8),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
# SZS output end CNFRefutation
