# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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/words/BOUND__ORDER_c1', ch4s_wordss_BOUNDu_u_ORDERu_c1)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/BOUND__ORDER_c1', aHLu_FALSITY)).
fof(5, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/words/BOUND__ORDER_c1', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(36, axiom,![X14]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))),file('i/f/words/BOUND__ORDER_c1', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(38, axiom,![X14]:![X15]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))))),file('i/f/words/BOUND__ORDER_c1', ah4s_arithmetics_NOTu_u_LESS)).
fof(40, axiom,![X14]:![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X14))),file('i/f/words/BOUND__ORDER_c1', ah4s_arithmetics_LESSu_u_EQ)).
fof(45, axiom,![X14]:![X15]:(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X14)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15)))))),file('i/f/words/BOUND__ORDER_c1', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(46, axiom,![X10]:![X14]:![X15]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,X10)<=>(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X10)))|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/words/BOUND__ORDER_c1', ah4s_arithmetics_SUBu_u_RIGHTu_u_EQ)).
fof(47, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(X1),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(X1),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/words/BOUND__ORDER_c1', ah4s_wordss_UINTu_u_MAXu_u_def)).
fof(48, axiom,![X1]: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_uintu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/BOUND__ORDER_c1', ah4s_wordss_ZEROu_u_LTu_u_UINTu_u_MAX)).
fof(54, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(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_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/BOUND__ORDER_c1', ah4s_wordss_INTu_u_MINu_u_LTu_u_DIMWORD)).
fof(59, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X14),file('i/f/words/BOUND__ORDER_c1', ah4s_numerals_numeralu_u_distribu_c1)).
fof(66, axiom,![X14]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/BOUND__ORDER_c1', ah4s_numerals_numeralu_u_ltu_c2)).
fof(70, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/words/BOUND__ORDER_c1', aHLu_BOOLu_CASES)).
fof(71, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/words/BOUND__ORDER_c1', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(78, axiom,![X14]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))=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,X14))),file('i/f/words/BOUND__ORDER_c1', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
# SZS output end CNFRefutation
