# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/numRing/num__rewrites_c18', ch4s_numRings_numu_u_rewritesu_c18)).
fof(2, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/numRing/num__rewrites_c18', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(26, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numRing/num__rewrites_c18', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
