# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__div2_c0', ch4s_numerals_numeralu_u_div2u_c0)).
fof(22, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__div2_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(23, axiom,![X10]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10))))=>s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numeral/numeral__div2_c0', ah4s_arithmetics_ZEROu_u_DIV)).
fof(25, axiom,![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X10)))))=s(t_bool,t),file('i/f/numeral/numeral__div2_c0', ah4s_numerals_numeralu_u_ltu_c1)).
fof(31, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/numeral/numeral__div2_c0', ah4s_arithmetics_DIV2u_u_def)).
fof(32, axiom,p(s(t_bool,t)),file('i/f/numeral/numeral__div2_c0', aHLu_TRUTH)).
fof(37, 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/numeral__div2_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
# SZS output end CNFRefutation
