# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(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_fcps_dimindex(s(t_h4s_bools_itself(X2),h4s_bools_theu_u_value))))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(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_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),X5)))=s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X3),X4)))<=>s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_sw2sw(s(t_h4s_fcps_cart(t_bool,X1),X5)))=s(t_h4s_fcps_cart(t_bool,X2),h4s_wordss_sw2sw(s(t_h4s_fcps_cart(t_bool,X3),X4))))),file('i/f/integer_word/w2i__11__lift', ch4s_integeru_u_words_w2iu_u_11u_u_lift)).
fof(3, axiom,![X3]:![X1]:![X8]:((p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),s(t_h4s_integers_int,X8))))&(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(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(X1),h4s_bools_theu_u_value))))))))=>s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_sw2sw(s(t_h4s_fcps_cart(t_bool,X3),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,X8)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,X8)))),file('i/f/integer_word/w2i__11__lift', ah4s_integeru_u_words_sw2swu_u_i2w)).
fof(4, axiom,![X1]:![X9]:((p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_integers_int,X9))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))))=>s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,X9)))))=s(t_h4s_integers_int,X9)),file('i/f/integer_word/w2i__11__lift', ah4s_integeru_u_words_w2iu_u_i2w)).
fof(6, axiom,![X12]:![X13]:((p(s(t_bool,X13))=>p(s(t_bool,X12)))=>((p(s(t_bool,X12))=>p(s(t_bool,X13)))=>s(t_bool,X13)=s(t_bool,X12))),file('i/f/integer_word/w2i__11__lift', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(16, axiom,![X21]:![X22]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X22))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X21)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))),file('i/f/integer_word/w2i__11__lift', ah4s_integers_INTu_u_LE)).
fof(17, axiom,![X3]:![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))))))=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))),file('i/f/integer_word/w2i__11__lift', ah4s_integeru_u_words_INTu_u_MINu_u_MONOTONIC)).
fof(18, axiom,![X1]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(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_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))))))=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))))))),file('i/f/integer_word/w2i__11__lift', ah4s_integeru_u_words_INTu_u_MAXu_u_MONOTONIC)).
fof(19, axiom,![X1]:![X10]:?[X9]:(s(t_h4s_fcps_cart(t_bool,X1),X10)=s(t_h4s_fcps_cart(t_bool,X1),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,X9)))&(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_integers_int,X9))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))))),file('i/f/integer_word/w2i__11__lift', ah4s_integeru_u_words_rangedu_u_intu_u_wordu_u_nchotomy)).
fof(20, axiom,![X23]:![X6]:![X7]:((p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X6))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X23)))))=>p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X23))))),file('i/f/integer_word/w2i__11__lift', ah4s_integers_INTu_u_LEu_u_TRANS)).
# SZS output end CNFRefutation
