# 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,~(p(s(t_bool,f))),file('i/f/words/WORD__LOWER__EQ__LOWER__TRANS', aHLu_FALSITY)).
fof(28, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/words/WORD__LOWER__EQ__LOWER__TRANS', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(43, axiom,![X1]:![X3]:![X4]:(~(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),X3)))))<=>p(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),X4))))),file('i/f/words/WORD__LOWER__EQ__LOWER__TRANS', ah4s_wordss_WORDu_u_NOTu_u_LOWER)).
fof(45, axiom,![X1]:![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),X4))))),file('i/f/words/WORD__LOWER__EQ__LOWER__TRANS', ah4s_wordss_WORDu_u_NOTu_u_LOWERu_u_EQUAL)).
fof(50, axiom,![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_ls(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_ls(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', ah4s_wordss_WORDu_u_LOWERu_u_EQu_u_TRANS)).
fof(58, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/words/WORD__LOWER__EQ__LOWER__TRANS', aHLu_BOOLu_CASES)).
fof(59, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/words/WORD__LOWER__EQ__LOWER__TRANS', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
