# 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),X2),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))<=>~(s(t_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),file('i/f/words/WORD__LO__word__T_c1', ch4s_wordss_WORDu_u_LOu_u_wordu_u_Tu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LO__word__T_c1', aHLu_TRUTH)).
fof(9, axiom,![X3]:s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))=s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_t),file('i/f/words/WORD__LO__word__T_c1', ah4s_wordss_WORDu_u_NEGu_u_1)).
fof(10, axiom,![X3]:![X2]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_fcps_cart(t_bool,X3),X2))))<=>s(t_h4s_fcps_cart(t_bool,X3),X2)=s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/words/WORD__LO__word__T_c1', ah4s_wordss_WORDu_u_LSu_u_wordu_u_Tu_c0)).
fof(11, axiom,![X3]:![X7]:![X8]:(~(p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X3),X8),s(t_h4s_fcps_cart(t_bool,X3),X7)))))<=>p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X3),X7),s(t_h4s_fcps_cart(t_bool,X3),X8))))),file('i/f/words/WORD__LO__word__T_c1', ah4s_wordss_WORDu_u_NOTu_u_LOWER)).
fof(12, axiom,![X3]:![X7]:![X8]:(~(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X3),X8),s(t_h4s_fcps_cart(t_bool,X3),X7)))))<=>p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X3),X7),s(t_h4s_fcps_cart(t_bool,X3),X8))))),file('i/f/words/WORD__LO__word__T_c1', ah4s_wordss_WORDu_u_NOTu_u_LOWERu_u_EQUAL)).
fof(13, axiom,![X3]:![X9]:p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X3),X9),s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_t)))),file('i/f/words/WORD__LO__word__T_c1', ah4s_wordss_WORDu_u_LSu_u_T)).
fof(14, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/words/WORD__LO__word__T_c1', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LO__word__T_c1', aHLu_FALSITY)).
# SZS output end CNFRefutation
