# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X3)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,X3)))),file('i/f/HolSmt/r240', ch4s_HolSmts_r240)).
fof(30, axiom,![X1]:![X17]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X17)))))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/HolSmt/r240', ah4s_wordss_w2nu_u_n2w)).
fof(32, axiom,![X2]:![X1]:![X20]:s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X1),X20)))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X20))))),file('i/f/HolSmt/r240', ah4s_wordss_w2wu_u_def)).
fof(60, axiom,![X17]:![X21]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X17))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,X21)),file('i/f/HolSmt/r240', ah4s_arithmetics_LESSu_u_MOD)).
# SZS output end CNFRefutation
