# 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(7, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_arithmetics_ALTu_u_ZERO)).
fof(10, 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,happ(s(t_fun(t_h4s_nums_num,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(13, 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(17, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(27, axiom,![X2]:![X13]:![X14]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X14),s(X2,X13)))=s(X2,X13),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
fof(28, axiom,![X2]:![X13]:![X14]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X14),s(X2,X13)))=s(X2,X14),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(31, axiom,![X13]:![X14]:![X15]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X15),s(t_bool,X14),s(t_bool,X13))))<=>((~(p(s(t_bool,X15)))|p(s(t_bool,X14)))&(p(s(t_bool,X15))|p(s(t_bool,X13))))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_bools_CONDu_u_EXPAND)).
fof(41, axiom,![X1]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,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(42, axiom,~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_arithmetics_odd),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_numerals_numeralu_u_distribu_c34)).
fof(43, axiom,![X13]:![X14]:((p(s(t_bool,X14))=>p(s(t_bool,X13)))=>((p(s(t_bool,X13))=>p(s(t_bool,X14)))=>s(t_bool,X14)=s(t_bool,X13))),file('i/f/numeral_bit/LOWEST__SET__BIT__compute_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
# SZS output end CNFRefutation
