# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:s(t_h4s_rings_ring(X1),h4s_rings_ringu_u_rnu_u_fupd(s(t_fun(t_fun(X1,X1),t_fun(X1,X1)),X2),s(t_h4s_rings_ring(X1),happ(s(t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1))),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)))),happ(s(t_fun(X1,t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1))))),happ(s(t_fun(X1,t_fun(X1,t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)))))),h4s_rings_ring0),s(X1,X7))),s(X1,X6))),s(t_fun(X1,t_fun(X1,X1)),X5))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,X1),X3)))))=s(t_h4s_rings_ring(X1),happ(s(t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1))),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)))),happ(s(t_fun(X1,t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1))))),happ(s(t_fun(X1,t_fun(X1,t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)))))),h4s_rings_ring0),s(X1,X7))),s(X1,X6))),s(t_fun(X1,t_fun(X1,X1)),X5))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,X1),happ(s(t_fun(t_fun(X1,X1),t_fun(X1,X1)),X2),s(t_fun(X1,X1),X3))))),file('i/f/ring/ring__fn__updates_c4', ch4s_rings_ringu_u_fnu_u_updatesu_c4)).
fof(19, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:s(t_h4s_rings_ring(X1),h4s_rings_ringu_u_rnu_u_fupd(s(t_fun(t_fun(X1,X1),t_fun(X1,X1)),X2),s(t_h4s_rings_ring(X1),happ(s(t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1))),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)))),happ(s(t_fun(X1,t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1))))),happ(s(t_fun(X1,t_fun(X1,t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)))))),h4s_rings_ring0),s(X1,X7))),s(X1,X6))),s(t_fun(X1,t_fun(X1,X1)),X5))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,X1),X3)))))=s(t_h4s_rings_ring(X1),happ(s(t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1))),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)))),happ(s(t_fun(X1,t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1))))),happ(s(t_fun(X1,t_fun(X1,t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,X1),t_h4s_rings_ring(X1)))))),h4s_rings_ring0),s(X1,X7))),s(X1,X6))),s(t_fun(X1,t_fun(X1,X1)),X5))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,X1),happ(s(t_fun(t_fun(X1,X1),t_fun(X1,X1)),X2),s(t_fun(X1,X1),X3))))),file('i/f/ring/ring__fn__updates_c4', ah4s_rings_ringu_u_RNu_u_fupd0)).
# SZS output end CNFRefutation
