# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:?[X2]:(s(t_h4s_prelims_ordering,X1)=s(t_h4s_prelims_ordering,h4s_prelims_num2ordering(s(t_h4s_nums_num,X2)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),file('i/f/prelim/num2ordering__ONTO', ch4s_prelims_num2orderingu_u_ONTO)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/prelim/num2ordering__ONTO', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/prelim/num2ordering__ONTO', aHLu_FALSITY)).
fof(6, axiom,![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))<=>s(t_h4s_nums_num,h4s_prelims_ordering2num(s(t_h4s_prelims_ordering,h4s_prelims_num2ordering(s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,X2)),file('i/f/prelim/num2ordering__ONTO', ah4s_prelims_orderingu_u_BIJu_c1)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/prelim/num2ordering__ONTO', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:s(t_h4s_prelims_ordering,h4s_prelims_num2ordering(s(t_h4s_nums_num,h4s_prelims_ordering2num(s(t_h4s_prelims_ordering,X1)))))=s(t_h4s_prelims_ordering,X1),file('i/f/prelim/num2ordering__ONTO', ah4s_prelims_orderingu_u_BIJu_c0)).
# SZS output end CNFRefutation
