# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,(s(t_h4s_prelims_ordering,h4s_prelims_less)=s(t_h4s_prelims_ordering,h4s_prelims_equal)<=>p(s(t_bool,f))),file('i/f/prelim/ordering__eq__dec_c1', ch4s_prelims_orderingu_u_equ_u_decu_c1)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/prelim/ordering__eq__dec_c1', aHLu_FALSITY)).
fof(6, axiom,![X4]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/prelim/ordering__eq__dec_c1', ah4s_numerals_numeralu_u_equ_c1)).
fof(13, axiom,s(t_h4s_nums_num,h4s_prelims_ordering2num(s(t_h4s_prelims_ordering,h4s_prelims_equal)))=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/prelim/ordering__eq__dec_c1', ah4s_prelims_ordering2numu_u_thmu_c1)).
fof(14, axiom,s(t_h4s_nums_num,h4s_prelims_ordering2num(s(t_h4s_prelims_ordering,h4s_prelims_less)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/prelim/ordering__eq__dec_c1', ah4s_prelims_ordering2numu_u_thmu_c0)).
fof(16, axiom,![X4]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))<=>s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/prelim/ordering__eq__dec_c1', ah4s_numerals_numeralu_u_distribu_c18)).
# SZS output end CNFRefutation
