# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3))))&p(s(t_bool,h4s_wordss_wordu_u_ls(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_ls(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X2))))),file('i/f/words/WORD__LOWER__EQ__TRANS', ch4s_wordss_WORDu_u_LOWERu_u_EQu_u_TRANS)).
fof(23, axiom,![X1]:![X3]:![X4]:s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X4))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__LOWER__EQ__TRANS', ah4s_wordss_WORDu_u_LS)).
fof(25, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3))))<=>(p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3))))|s(t_h4s_fcps_cart(t_bool,X1),X4)=s(t_h4s_fcps_cart(t_bool,X1),X3))),file('i/f/words/WORD__LOWER__EQ__TRANS', ah4s_wordss_WORDu_u_LOWERu_u_ORu_u_EQ)).
fof(27, axiom,![X19]:![X20]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))|s(t_h4s_nums_num,X20)=s(t_h4s_nums_num,X19))),file('i/f/words/WORD__LOWER__EQ__TRANS', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(30, axiom,![X9]:![X19]:![X20]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X9)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X9))))),file('i/f/words/WORD__LOWER__EQ__TRANS', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(31, axiom,![X19]:![X20]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20))))),file('i/f/words/WORD__LOWER__EQ__TRANS', ah4s_arithmetics_NOTu_u_LESS)).
fof(34, axiom,![X1]:![X3]:![X4]:s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3)))=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),X4))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__LOWER__EQ__TRANS', ah4s_wordss_WORDu_u_LO)).
# SZS output end CNFRefutation
