# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X3),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),X3)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/words/WORD__ADD__LID__UNIQ', ch4s_wordss_WORDu_u_ADDu_u_LIDu_u_UNIQ)).
fof(27, axiom,![X1]:![X2]:![X3]:(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),X3)<=>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__ADD__LID__UNIQ', ah4s_wordss_WORDu_u_ADDu_u_INVu_u_0u_u_EQ)).
fof(31, axiom,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_sub(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__ADD__LID__UNIQ', ah4s_wordss_WORDu_u_SUBu_u_REFL)).
fof(32, axiom,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(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),file('i/f/words/WORD__ADD__LID__UNIQ', ah4s_wordss_WORDu_u_ADDu_u_0u_c0)).
fof(52, axiom,![X1]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))),file('i/f/words/WORD__ADD__LID__UNIQ', ah4s_wordss_WORDu_u_ADDu_u_COMM)).
fof(53, axiom,![X1]:![X5]:![X2]:![X3]:(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(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),X3)=s(t_h4s_fcps_cart(t_bool,X1),X5)),file('i/f/words/WORD__ADD__LID__UNIQ', ah4s_wordss_WORDu_u_EQu_u_ADDu_u_RCANCEL)).
# SZS output end CNFRefutation
