# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X1)))=s(t_bool,t),file('i/f/numeral/numeral__lte_c0', ch4s_numerals_numeralu_u_lteu_c0)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/numeral/numeral__lte_c0', aHLu_BOOLu_CASES)).
fof(18, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/numeral/numeral__lte_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(28, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/numeral/numeral__lte_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(38, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__lte_c0', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
