# 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),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X1),X3))))&p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X1),X2)))))=>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_ls(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))),file('i/f/words/WORD__LE__EQ__LS', ch4s_wordss_WORDu_u_LEu_u_EQu_u_LS)).
fof(23, axiom,![X1]:![X14]:![X15]:s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X15),s(t_h4s_fcps_cart(t_bool,X1),X14)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X15))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X14))))),file('i/f/words/WORD__LE__EQ__LS', ah4s_wordss_WORDu_u_LS)).
fof(24, axiom,![X1]:![X14]:![X15]:(p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),X15),s(t_h4s_fcps_cart(t_bool,X1),X14))))<=>((s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X15)))=s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X14)))&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),X15))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X14)))))))|(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X15))))&~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X14)))))))),file('i/f/words/WORD__LE__EQ__LS', ah4s_wordss_WORDu_u_LE)).
fof(30, axiom,![X1]:~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/words/WORD__LE__EQ__LS', ah4s_wordss_WORDu_u_0u_u_POS)).
fof(31, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LE__EQ__LS', aHLu_FALSITY)).
fof(39, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/words/WORD__LE__EQ__LS', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(47, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LE__EQ__LS', aHLu_TRUTH)).
fof(49, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/words/WORD__LE__EQ__LS', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
