# 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_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_integers_int,h4s_integeru_u_words_uintu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/integer_word/INT__BOUND__ORDER_c1', ch4s_integeru_u_words_INTu_u_BOUNDu_u_ORDERu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer_word/INT__BOUND__ORDER_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/INT__BOUND__ORDER_c1', aHLu_FALSITY)).
fof(8, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/integer_word/INT__BOUND__ORDER_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X2]:((p(s(t_bool,X2))=>p(s(t_bool,f)))<=>s(t_bool,X2)=s(t_bool,f)),file('i/f/integer_word/INT__BOUND__ORDER_c1', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(13, axiom,![X9]:![X10]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))))),file('i/f/integer_word/INT__BOUND__ORDER_c1', ah4s_arithmetics_NOTu_u_LESS)).
fof(14, axiom,![X11]:![X9]:![X10]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X11)))))=>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_c1', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(15, axiom,![X9]:![X10]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X9))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X10)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))),file('i/f/integer_word/INT__BOUND__ORDER_c1', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c0)).
fof(16, axiom,![X1]:s(t_h4s_integers_int,h4s_integeru_u_words_uintu_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_uintu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/integer_word/INT__BOUND__ORDER_c1', ah4s_integeru_u_words_UINTu_u_MAX0)).
fof(17, 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_c1', ah4s_wordss_BOUNDu_u_ORDERu_c0)).
fof(18, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/integer_word/INT__BOUND__ORDER_c1', ah4s_wordss_BOUNDu_u_ORDERu_c1)).
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_c1', ah4s_integeru_u_words_INTu_u_MAX0)).
# SZS output end CNFRefutation
