# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))<=>((s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X3)))=s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X2)))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X3))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X2)))))))|(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X3))))&~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X2)))))))),file('i/f/words/WORD__LE', ch4s_wordss_WORDu_u_LE)).
fof(6, axiom,![X7]:![X8]:![X9]:((p(s(t_bool,X9))<=>s(t_bool,X8)=s(t_bool,X7))<=>((p(s(t_bool,X9))|(p(s(t_bool,X8))|p(s(t_bool,X7))))&((p(s(t_bool,X9))|(~(p(s(t_bool,X7)))|~(p(s(t_bool,X8)))))&((p(s(t_bool,X8))|(~(p(s(t_bool,X7)))|~(p(s(t_bool,X9)))))&(p(s(t_bool,X7))|(~(p(s(t_bool,X8)))|~(p(s(t_bool,X9))))))))),file('i/f/words/WORD__LE', ah4s_sats_dcu_u_eq)).
fof(11, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))<=>((s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X3)))=s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X2)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X3))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X2)))))))|(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X3))))&~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X2)))))))),file('i/f/words/WORD__LE', ah4s_wordss_WORDu_u_LT)).
fof(12, axiom,![X1]:![X2]:![X3]:(~(p(s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))))<=>p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__LE', ah4s_wordss_WORDu_u_NOTu_u_LESS)).
fof(13, axiom,![X12]:![X13]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))),file('i/f/words/WORD__LE', ah4s_arithmetics_NOTu_u_LESS)).
# SZS output end CNFRefutation
