# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:?[X6]:((p(s(t_bool,X6))<=>(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_univ))))))&s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2))),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)))),h4s_wordss_wordu_u_join),s(t_h4s_fcps_cart(t_bool,X1),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X4))))),s(t_h4s_fcps_cart(t_bool,X2),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X3)))))=s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)),h4s_bools_cond(s(t_bool,X6),s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),h4s_lists_append(s(t_h4s_lists_list(t_bool),X4),s(t_h4s_lists_list(t_bool),h4s_bitstrings_fixwidth(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),X3))))))),s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2))),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)))),h4s_combins_fail(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)))),h4s_wordss_wordu_u_join),s(t_bool,X5))),s(t_h4s_fcps_cart(t_bool,X1),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X4))))),s(t_h4s_fcps_cart(t_bool,X2),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X3)))))))),file('i/f/bitstring/word__join__v2w__rwt', ch4s_bitstrings_wordu_u_joinu_u_v2wu_u_rwt)).
fof(6, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X8),s(X1,X7)))=s(X1,X8),file('i/f/bitstring/word__join__v2w__rwt', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(7, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X8),s(X1,X7)))=s(X1,X7),file('i/f/bitstring/word__join__v2w__rwt', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_univ)))))=>s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2))),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X1),t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)))),h4s_wordss_wordu_u_join),s(t_h4s_fcps_cart(t_bool,X1),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X4))))),s(t_h4s_fcps_cart(t_bool,X2),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),X3)))))=s(t_h4s_fcps_cart(t_bool,t_h4s_sums_sum(X1,X2)),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),h4s_lists_append(s(t_h4s_lists_list(t_bool),X4),s(t_h4s_lists_list(t_bool),h4s_bitstrings_fixwidth(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),X3)))))))),file('i/f/bitstring/word__join__v2w__rwt', ah4s_bitstrings_wordu_u_joinu_u_v2w)).
fof(11, axiom,![X2]:![X1]:![X11]:![X21]:s(X1,h4s_combins_fail(s(X1,X11),s(X2,X21)))=s(X1,X11),file('i/f/bitstring/word__join__v2w__rwt', ah4s_combins_FAILu_u_DEF)).
fof(12, axiom,p(s(t_bool,t)),file('i/f/bitstring/word__join__v2w__rwt', aHLu_TRUTH)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/bitstring/word__join__v2w__rwt', aHLu_FALSITY)).
# SZS output end CNFRefutation
