# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:?[X7]:((p(s(t_bool,X7))<=>(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),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X3),t_h4s_fcps_cart(t_bool,X1)),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_fun(t_h4s_fcps_cart(t_bool,X3),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_bools_cond(s(t_bool,X7),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))))))))),s(t_h4s_fcps_cart(t_bool,X1),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X3),t_h4s_fcps_cart(t_bool,X1)),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_fun(t_h4s_fcps_cart(t_bool,X3),t_h4s_fcps_cart(t_bool,X1))),h4s_combins_fail(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_fun(t_h4s_fcps_cart(t_bool,X3),t_h4s_fcps_cart(t_bool,X1))),h4s_wordss_wordu_u_concat),s(t_bool,X6))),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)))))))),file('i/f/bitstring/word__concat__v2w__rwt', ch4s_bitstrings_wordu_u_concatu_u_v2wu_u_rwt)).
fof(6, axiom,![X2]:![X10]:![X11]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X11),s(X2,X10)))=s(X2,X11),file('i/f/bitstring/word__concat__v2w__rwt', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(8, axiom,![X2]:![X10]:![X11]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X11),s(X2,X10)))=s(X2,X10),file('i/f/bitstring/word__concat__v2w__rwt', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(17, axiom,![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),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X3),t_h4s_fcps_cart(t_bool,X1)),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_fun(t_h4s_fcps_cart(t_bool,X3),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__rwt', ah4s_bitstrings_wordu_u_concatu_u_v2w)).
fof(22, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/bitstring/word__concat__v2w__rwt', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(39, axiom,![X3]:![X2]:![X9]:![X31]:s(X2,h4s_combins_fail(s(X2,X9),s(X3,X31)))=s(X2,X9),file('i/f/bitstring/word__concat__v2w__rwt', ah4s_combins_FAILu_u_DEF)).
fof(53, axiom,![X2]:![X9]:s(t_bool,happ(s(t_fun(X2,t_bool),h4s_predu_u_sets_univ),s(X2,X9)))=s(t_bool,t),file('i/f/bitstring/word__concat__v2w__rwt', ah4s_predu_u_sets_UNIVu_u_DEF)).
fof(55, axiom,p(s(t_bool,t)),file('i/f/bitstring/word__concat__v2w__rwt', aHLu_TRUTH)).
fof(59, axiom,![X25]:(s(t_bool,X25)=s(t_bool,t)<=>p(s(t_bool,X25))),file('i/f/bitstring/word__concat__v2w__rwt', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
