# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srp(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,X5))),s(X1,X4))),s(t_fun(X1,t_fun(X1,X1)),X3))),s(t_fun(X1,t_fun(X1,X1)),X2)))))=s(t_fun(X1,t_fun(X1,X1)),X3),file('i/f/semi_ring/semi__ring__accessors_c2', ch4s_semiu_u_rings_semiu_u_ringu_u_accessorsu_c2)).
fof(34, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srp(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,X5))),s(X1,X4))),s(t_fun(X1,t_fun(X1,X1)),X3))),s(t_fun(X1,t_fun(X1,X1)),X2)))))=s(t_fun(X1,t_fun(X1,X1)),X3),file('i/f/semi_ring/semi__ring__accessors_c2', ah4s_semiu_u_rings_semiu_u_ringu_u_SRP0)).
fof(37, axiom,![X1]: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(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_u_20u_40indu_u_typesemiu_u_ring0),file('i/f/semi_ring/semi__ring__accessors_c2', ah4s_semiu_u_rings_semiu_u_ring1)).
fof(52, axiom,![X1]:![X14]:![X46]:![X12]:![X9]:![X3]:s(X1,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X14,X46),h4s_pairs_u_2c(s(X14,X9),s(X46,X12))),s(t_fun(X14,t_fun(X46,X1)),X3)))=s(X1,happ(s(t_fun(X46,X1),happ(s(t_fun(X14,t_fun(X46,X1)),X3),s(X14,X9))),s(X46,X12))),file('i/f/semi_ring/semi__ring__accessors_c2', ah4s_pairs_pairu_u_caseu_u_thm)).
# SZS output end CNFRefutation
