# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/integer_word/UINT__MAX0', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/UINT__MAX0', aHLu_FALSITY)).
fof(6, axiom,![X8]:s(t_h4s_integers_int,h4s_integeru_u_words_uintu_u_max(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))=s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),file('i/f/integer_word/UINT__MAX0', ah4s_integeru_u_words_UINTu_u_MAXu_u_def)).
fof(8, axiom,![X8]:s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/integer_word/UINT__MAX0', ah4s_wordss_UINTu_u_MAXu_u_def)).
fof(18, axiom,![X11]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X11)))=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,X11))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(23, axiom,![X11]:![X13]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X11)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,X11))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_LESSu_u_EQ)).
fof(29, axiom,![X11]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11)))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(31, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/integer_word/UINT__MAX0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(32, axiom,![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X11),file('i/f/integer_word/UINT__MAX0', ah4s_numerals_numeralu_u_distribu_c1)).
fof(35, axiom,![X11]:![X13]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X11)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X13))))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_NOTu_u_LESS)).
fof(38, axiom,![X8]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X8),h4s_bools_theu_u_value)))))),file('i/f/integer_word/UINT__MAX0', ah4s_wordss_ZEROu_u_LTu_u_dimword)).
fof(66, axiom,![X11]:![X13]:(s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,X11)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X11))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X13)))))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(96, axiom,![X11]:![X13]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X11))))=>s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X11))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X13)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X13)))))),file('i/f/integer_word/UINT__MAX0', ah4s_integers_INTu_u_SUB)).
fof(103, axiom,![X11]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/integer_word/UINT__MAX0', ah4s_numerals_numeralu_u_distribu_c17)).
fof(125, axiom,![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer_word/UINT__MAX0', ah4s_numerals_numeralu_u_ltu_c2)).
fof(133, conjecture,![X8]:s(t_h4s_integers_int,h4s_integeru_u_words_uintu_u_max(s(t_h4s_bools_itself(X8),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(X8),h4s_bools_theu_u_value))))),file('i/f/integer_word/UINT__MAX0', ch4s_integeru_u_words_UINTu_u_MAX0)).
# SZS output end CNFRefutation
