# 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_lo(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_lo(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__LOWER__TRANS', ch4s_wordss_WORDu_u_LOWERu_u_EQu_u_LOWERu_u_TRANS)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/words/WORD__LOWER__EQ__LOWER__TRANS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(14, 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__LOWER__TRANS', ah4s_wordss_WORDu_u_LO)).
fof(15, 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__LOWER__TRANS', ah4s_wordss_WORDu_u_LS)).
fof(16, axiom,![X13]:![X16]:![X17]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X13)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X13))))),file('i/f/words/WORD__LOWER__EQ__LOWER__TRANS', ah4s_arithmetics_LESSu_u_EQu_u_LESSu_u_TRANS)).
# SZS output end CNFRefutation
