# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X1))),file('i/f/numRing/num__rewrites_c24', ch4s_numRings_numu_u_rewritesu_c24)).
fof(3, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/numRing/num__rewrites_c24', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(24, axiom,![X1]:![X20]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X20))),file('i/f/numRing/num__rewrites_c24', ah4s_arithmetics_GREATERu_u_DEF)).
fof(41, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numRing/num__rewrites_c24', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
