# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_wordss_wordu_u_lo(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_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/words/WORD__LO__word__0_c0', ch4s_wordss_WORDu_u_LOu_u_wordu_u_0u_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LO__word__0_c0', aHLu_TRUTH)).
fof(9, axiom,![X1]:![X6]:![X7]:(~(p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X7),s(t_h4s_fcps_cart(t_bool,X1),X6)))))<=>p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X6),s(t_h4s_fcps_cart(t_bool,X1),X7))))),file('i/f/words/WORD__LO__word__0_c0', ah4s_wordss_WORDu_u_NOTu_u_LOWER)).
fof(10, axiom,![X1]:![X6]:![X7]:(~(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X7),s(t_h4s_fcps_cart(t_bool,X1),X6)))))<=>p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X6),s(t_h4s_fcps_cart(t_bool,X1),X7))))),file('i/f/words/WORD__LO__word__0_c0', ah4s_wordss_WORDu_u_NOTu_u_LOWERu_u_EQUAL)).
fof(11, axiom,![X1]:![X8]:p(s(t_bool,h4s_wordss_wordu_u_ls(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),X8)))),file('i/f/words/WORD__LO__word__0_c0', ah4s_wordss_WORDu_u_0u_u_LS)).
fof(12, axiom,![X1]:![X2]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X2),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_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/words/WORD__LO__word__0_c0', ah4s_wordss_WORDu_u_LSu_u_wordu_u_0)).
fof(13, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/words/WORD__LO__word__0_c0', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LO__word__0_c0', aHLu_FALSITY)).
# SZS output end CNFRefutation
