# 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),X2)))),file('i/f/words/WORD__LOWER__EQ__REFL', ch4s_wordss_WORDu_u_LOWERu_u_EQu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LOWER__EQ__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LOWER__EQ__REFL', aHLu_FALSITY)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/words/WORD__LOWER__EQ__REFL', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X5]:![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),X5))))<=>(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),X5))))|s(t_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),X5))),file('i/f/words/WORD__LOWER__EQ__REFL', ah4s_wordss_WORDu_u_LOWERu_u_ORu_u_EQ)).
# SZS output end CNFRefutation
