# 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(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r240', aHLu_TRUTH)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/HolSmt/r240', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X2]:![X1]:![X11]: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,X11)))))=s(t_h4s_fcps_cart(t_bool,X2),h4s_bools_cond(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,X11))),s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11))))))),file('i/f/HolSmt/r240', ah4s_wordss_w2wu_u_n2w)).
fof(11, axiom,![X11]:![X12]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,X12)),file('i/f/HolSmt/r240', ah4s_arithmetics_LESSu_u_MOD)).
fof(12, axiom,![X1]:![X11]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))=s(t_h4s_nums_num,h4s_bits_bits(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11))),file('i/f/HolSmt/r240', ah4s_wordss_MODu_u_DIMINDEX)).
fof(13, axiom,![X1]:![X4]:![X13]:s(X1,h4s_bools_cond(s(t_bool,X13),s(X1,X4),s(X1,X4)))=s(X1,X4),file('i/f/HolSmt/r240', ah4s_bools_CONDu_u_ID)).
# SZS output end CNFRefutation
