# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_integers_intu_u_lt(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,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ch4s_integeru_u_words_INTu_u_BOUNDu_u_ORDERu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer_word/INT__BOUND__ORDER_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/INT__BOUND__ORDER_c0', aHLu_FALSITY)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X4]:((p(s(t_bool,X4))=>p(s(t_bool,f)))<=>s(t_bool,X4)=s(t_bool,f)),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(17, axiom,![X10]:![X11]:(s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,X10)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11)))))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(18, axiom,![X10]:![X11]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X10))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X11))))))<=>(~(s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_nums_0))|~(s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c2)).
fof(19, axiom,![X1]: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_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_intu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_integeru_u_words_INTu_u_MAX0)).
fof(20, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_intu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_wordss_BOUNDu_u_ORDERu_c0)).
fof(22, axiom,![X1]: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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_integeru_u_words_INTu_u_MIN0)).
fof(23, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer_word/INT__BOUND__ORDER_c0', aHLu_BOOLu_CASES)).
fof(24, axiom,![X10]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_numerals_numeralu_u_lteu_c1)).
fof(25, axiom,![X10]:![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X10))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_arithmetics_LESSu_u_EQ)).
fof(26, axiom,![X10]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(28, axiom,![X10]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_numerals_numeralu_u_distribu_c27)).
fof(29, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X10),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_numerals_numeralu_u_distribu_c1)).
fof(32, axiom,![X10]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X10))),file('i/f/integer_word/INT__BOUND__ORDER_c0', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
# SZS output end CNFRefutation
