# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),X3)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X4),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)),file('i/f/words/WORD__EQ__ADD__LCANCEL', ch4s_wordss_WORDu_u_EQu_u_ADDu_u_LCANCEL)).
fof(33, axiom,![X1]:![X2]:![X3]:![X4]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X4),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),X4),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))),file('i/f/words/WORD__EQ__ADD__LCANCEL', ah4s_wordss_WORDu_u_ADDu_u_SUBu_u_ASSOC)).
fof(35, axiom,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X4),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),X4)=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),X3)))),file('i/f/words/WORD__EQ__ADD__LCANCEL', ah4s_wordss_WORDu_u_ADDu_u_EQu_u_SUB)).
fof(37, axiom,![X1]:![X3]:![X4]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X4),s(t_h4s_fcps_cart(t_bool,X1),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),X4))),file('i/f/words/WORD__EQ__ADD__LCANCEL', ah4s_wordss_WORDu_u_ADDu_u_COMM)).
fof(40, axiom,![X1]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X1),X3),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__EQ__ADD__LCANCEL', ah4s_wordss_WORDu_u_SUBu_u_REFL)).
fof(41, axiom,![X1]:![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),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_fcps_cart(t_bool,X1),X3),file('i/f/words/WORD__EQ__ADD__LCANCEL', ah4s_wordss_WORDu_u_ADDu_u_0u_c0)).
# SZS output end CNFRefutation
