# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_srmu_u_fupd(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(X1,t_fun(X1,X1))),X2),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_h4s_semiu_u_rings_semiu_u_ring(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_h4s_semiu_u_rings_semiu_u_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_h4s_semiu_u_rings_semiu_u_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_h4s_semiu_u_rings_semiu_u_ring(X1))))),h4s_semiu_u_rings_semiu_u_ring0),s(X1,X6))),s(X1,X5))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,t_fun(X1,X1)),X3)))))=s(t_h4s_semiu_u_rings_semiu_u_ring(X1),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_h4s_semiu_u_rings_semiu_u_ring(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_h4s_semiu_u_rings_semiu_u_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_h4s_semiu_u_rings_semiu_u_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_h4s_semiu_u_rings_semiu_u_ring(X1))))),h4s_semiu_u_rings_semiu_u_ring0),s(X1,X6))),s(X1,X5))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,t_fun(X1,X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(X1,t_fun(X1,X1))),X2),s(t_fun(X1,t_fun(X1,X1)),X3))))),file('i/f/semi_ring/semi__ring__fn__updates_c3', ch4s_semiu_u_rings_semiu_u_ringu_u_fnu_u_updatesu_c3)).
fof(26, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_srmu_u_fupd(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(X1,t_fun(X1,X1))),X2),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_h4s_semiu_u_rings_semiu_u_ring(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_h4s_semiu_u_rings_semiu_u_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_h4s_semiu_u_rings_semiu_u_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_h4s_semiu_u_rings_semiu_u_ring(X1))))),h4s_semiu_u_rings_semiu_u_ring0),s(X1,X6))),s(X1,X5))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,t_fun(X1,X1)),X3)))))=s(t_h4s_semiu_u_rings_semiu_u_ring(X1),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_h4s_semiu_u_rings_semiu_u_ring(X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(t_fun(X1,t_fun(X1,X1)),t_h4s_semiu_u_rings_semiu_u_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_h4s_semiu_u_rings_semiu_u_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_h4s_semiu_u_rings_semiu_u_ring(X1))))),h4s_semiu_u_rings_semiu_u_ring0),s(X1,X6))),s(X1,X5))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,t_fun(X1,X1)),happ(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(X1,t_fun(X1,X1))),X2),s(t_fun(X1,t_fun(X1,X1)),X3))))),file('i/f/semi_ring/semi__ring__fn__updates_c3', ah4s_semiu_u_rings_semiu_u_ringu_u_SRMu_u_fupd0)).
fof(81, axiom,![X40]:![X1]:![X15]:![X13]:![X10]:![X4]:s(X40,happ(s(t_fun(X1,X40),h4s_combins_c(s(t_fun(X1,t_fun(X15,X40)),X4),s(X15,X10))),s(X1,X13)))=s(X40,happ(s(t_fun(X15,X40),happ(s(t_fun(X1,t_fun(X15,X40)),X4),s(X1,X13))),s(X15,X10))),file('i/f/semi_ring/semi__ring__fn__updates_c3', ah4s_combins_Cu_u_THM)).
# SZS output end CNFRefutation
