# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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__LS__word__0', ch4s_wordss_WORDu_u_LSu_u_wordu_u_0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LS__word__0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LS__word__0', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/words/WORD__LS__word__0', aHLu_BOOLu_CASES)).
fof(11, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/words/WORD__LS__word__0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X6]: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),X6)))),file('i/f/words/WORD__LS__word__0', ah4s_wordss_WORDu_u_0u_u_LS)).
fof(13, axiom,![X1]:![X7]:![X8]:(~(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X8),s(t_h4s_fcps_cart(t_bool,X1),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),X8))))),file('i/f/words/WORD__LS__word__0', ah4s_wordss_WORDu_u_NOTu_u_LOWERu_u_EQUAL)).
fof(14, axiom,![X1]:![X7]:![X8]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X8),s(t_h4s_fcps_cart(t_bool,X1),X7))))<=>(p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X8),s(t_h4s_fcps_cart(t_bool,X1),X7))))|s(t_h4s_fcps_cart(t_bool,X1),X8)=s(t_h4s_fcps_cart(t_bool,X1),X7))),file('i/f/words/WORD__LS__word__0', ah4s_wordss_WORDu_u_LOWERu_u_ORu_u_EQ)).
# SZS output end CNFRefutation
