# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_univ))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X3,t_bool),h4s_predu_u_sets_univ)))))=>s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_concat(s(t_h4s_fcps_cart(t_bool,X2),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X5))),s(t_h4s_fcps_cart(t_bool,X3),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X4)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),h4s_bitstrings_fixwidth(s(t_h4s_nums_num,h4s_arithmetics_min(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_u_2b(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(X3),h4s_bools_theu_u_value))))))),s(t_h4s_lists_list(t_bool),h4s_lists_append(s(t_h4s_lists_list(t_bool),X5),s(t_h4s_lists_list(t_bool),h4s_bitstrings_fixwidth(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),s(t_h4s_lists_list(t_bool),X4)))))))))),file('i/f/bitstring/word__concat__v2w', ch4s_bitstrings_wordu_u_concatu_u_v2w)).
fof(5, axiom,![X3]:![X2]:![X13]:s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,X2),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X13)))))=s(t_h4s_fcps_cart(t_bool,X3),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),h4s_bitstrings_fixwidth(s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),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(X3),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))),s(t_h4s_lists_list(t_bool),X13))))),file('i/f/bitstring/word__concat__v2w', ah4s_bitstrings_w2wu_u_v2w)).
fof(6, axiom,![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_univ))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X3,t_bool),h4s_predu_u_sets_univ)))))=>s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X2,X3)),h4s_wordss_wordu_u_join(s(t_h4s_fcps_cart(t_bool,X2),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X5))),s(t_h4s_fcps_cart(t_bool,X3),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X4)))))=s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X2,X3)),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),h4s_lists_append(s(t_h4s_lists_list(t_bool),X5),s(t_h4s_lists_list(t_bool),h4s_bitstrings_fixwidth(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),s(t_h4s_lists_list(t_bool),X4)))))))),file('i/f/bitstring/word__concat__v2w', ah4s_bitstrings_wordu_u_joinu_u_v2w)).
fof(7, axiom,![X14]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),file('i/f/bitstring/word__concat__v2w', ah4s_arithmetics_MINu_u_DEF)).
fof(8, axiom,![X2]:![X3]:?[X13]:((p(s(t_bool,X13))<=>(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_univ))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X3,t_bool),h4s_predu_u_sets_univ))))))&s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(t_h4s_sums_sum(X2,X3)),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X13),s(t_h4s_nums_num,h4s_arithmetics_u_2b(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(X3),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)))))))),file('i/f/bitstring/word__concat__v2w', ah4s_fcps_indexu_u_sum)).
fof(9, axiom,![X1]:![X2]:![X3]:![X16]:![X13]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_concat(s(t_h4s_fcps_cart(t_bool,X2),X13),s(t_h4s_fcps_cart(t_bool,X3),X16)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_w2w(s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X2,X3)),h4s_wordss_wordu_u_join(s(t_h4s_fcps_cart(t_bool,X2),X13),s(t_h4s_fcps_cart(t_bool,X3),X16))))),file('i/f/bitstring/word__concat__v2w', ah4s_wordss_wordu_u_concatu_u_def)).
fof(10, axiom,p(s(t_bool,t)),file('i/f/bitstring/word__concat__v2w', aHLu_TRUTH)).
fof(15, axiom,![X17]:(s(t_bool,X17)=s(t_bool,t)<=>p(s(t_bool,X17))),file('i/f/bitstring/word__concat__v2w', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(17, axiom,![X2]:![X9]:![X10]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X10),s(X2,X9)))=s(X2,X10),file('i/f/bitstring/word__concat__v2w', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
# SZS output end CNFRefutation
