# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,(s(t_h4s_prelims_ordering,h4s_prelims_equal)=s(t_h4s_prelims_ordering,h4s_prelims_greater)<=>p(s(t_bool,f))),file('i/f/prelim/ordering__eq__dec_c3', ch4s_prelims_orderingu_u_equ_u_decu_c3)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/prelim/ordering__eq__dec_c3', aHLu_FALSITY)).
fof(8, axiom,![X4]:![X5]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X5)))<=>p(s(t_bool,f))),file('i/f/prelim/ordering__eq__dec_c3', ah4s_numerals_numeralu_u_equ_c4)).
fof(10, axiom,![X4]:![X5]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))<=>s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,X5)),file('i/f/prelim/ordering__eq__dec_c3', ah4s_numerals_numeralu_u_distribu_c19)).
fof(13, axiom,s(t_h4s_nums_num,h4s_prelims_ordering2num(s(t_h4s_prelims_ordering,h4s_prelims_greater)))=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/prelim/ordering__eq__dec_c3', ah4s_prelims_ordering2numu_u_thmu_c2)).
fof(15, 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_c3', ah4s_prelims_ordering2numu_u_thmu_c1)).
# SZS output end CNFRefutation
