# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),happ(s(t_fun(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1))),happ(s(t_fun(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),t_fun(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)))),h4s_combins_o),s(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),h4s_semiu_u_rings_semiu_u_ringu_u_sr0u_u_fupd(s(t_fun(X1,X1),X3))))),s(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),h4s_semiu_u_rings_semiu_u_ringu_u_sr0u_u_fupd(s(t_fun(X1,X1),X2)))))=s(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),h4s_semiu_u_rings_semiu_u_ringu_u_sr0u_u_fupd(s(t_fun(X1,X1),happ(s(t_fun(t_fun(X1,X1),t_fun(X1,X1)),happ(s(t_fun(t_fun(X1,X1),t_fun(t_fun(X1,X1),t_fun(X1,X1))),h4s_combins_o),s(t_fun(X1,X1),X3))),s(t_fun(X1,X1),X2))))),file('i/f/semi_ring/semi__ring__fupdfupds__comp_c0', ch4s_semiu_u_rings_semiu_u_ringu_u_fupdfupdsu_u_compu_c0)).
fof(5, axiom,![X1]:![X10]:![X2]:![X3]:s(t_h4s_semiu_u_rings_semiu_u_ring(X1),happ(s(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),h4s_semiu_u_rings_semiu_u_ringu_u_sr0u_u_fupd(s(t_fun(X1,X1),X3))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),happ(s(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),h4s_semiu_u_rings_semiu_u_ringu_u_sr0u_u_fupd(s(t_fun(X1,X1),X2))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X10)))))=s(t_h4s_semiu_u_rings_semiu_u_ring(X1),happ(s(t_fun(t_h4s_semiu_u_rings_semiu_u_ring(X1),t_h4s_semiu_u_rings_semiu_u_ring(X1)),h4s_semiu_u_rings_semiu_u_ringu_u_sr0u_u_fupd(s(t_fun(X1,X1),happ(s(t_fun(t_fun(X1,X1),t_fun(X1,X1)),happ(s(t_fun(t_fun(X1,X1),t_fun(t_fun(X1,X1),t_fun(X1,X1))),h4s_combins_o),s(t_fun(X1,X1),X3))),s(t_fun(X1,X1),X2))))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X10))),file('i/f/semi_ring/semi__ring__fupdfupds__comp_c0', ah4s_semiu_u_rings_semiu_u_ringu_u_fupdfupdsu_c0)).
fof(6, axiom,![X11]:![X12]:![X3]:![X2]:(![X5]:s(X12,happ(s(t_fun(X11,X12),X3),s(X11,X5)))=s(X12,happ(s(t_fun(X11,X12),X2),s(X11,X5)))=>s(t_fun(X11,X12),X3)=s(t_fun(X11,X12),X2)),file('i/f/semi_ring/semi__ring__fupdfupds__comp_c0', aHLu_EXT)).
fof(8, axiom,![X13]:![X1]:![X15]:![X5]:![X2]:![X3]:s(X13,happ(s(t_fun(X15,X13),happ(s(t_fun(t_fun(X15,X1),t_fun(X15,X13)),happ(s(t_fun(t_fun(X1,X13),t_fun(t_fun(X15,X1),t_fun(X15,X13))),h4s_combins_o),s(t_fun(X1,X13),X3))),s(t_fun(X15,X1),X2))),s(X15,X5)))=s(X13,happ(s(t_fun(X1,X13),X3),s(X1,happ(s(t_fun(X15,X1),X2),s(X15,X5))))),file('i/f/semi_ring/semi__ring__fupdfupds__comp_c0', ah4s_combins_ou_u_THM)).
# SZS output end CNFRefutation
