# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:![X9]:(s(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),h4s_combins_k(s(X1,X9))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_sr1u_u_fupd(s(t_fun(X1,X1),h4s_combins_k(s(X1,X7))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_srpu_u_fupd(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(X1,t_fun(X1,X1))),h4s_combins_k(s(t_fun(X1,t_fun(X1,X1)),X5))),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))),h4s_combins_k(s(t_fun(X1,t_fun(X1,X1)),X3))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_bools_arb)))))))))=s(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),h4s_combins_k(s(X1,X8))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_sr1u_u_fupd(s(t_fun(X1,X1),h4s_combins_k(s(X1,X6))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_srpu_u_fupd(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(X1,t_fun(X1,X1))),h4s_combins_k(s(t_fun(X1,t_fun(X1,X1)),X4))),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))),h4s_combins_k(s(t_fun(X1,t_fun(X1,X1)),X2))),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_bools_arb)))))))))<=>(s(X1,X9)=s(X1,X8)&(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,t_fun(X1,X1)),X3)=s(t_fun(X1,t_fun(X1,X1)),X2))))),file('i/f/semi_ring/semi__ring__literal__11', ch4s_semiu_u_rings_semiu_u_ringu_u_literalu_u_11)).
fof(3, axiom,![X1]:![X15]:![X12]: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),h4s_semiu_u_rings_semiu_u_ringu_u_sr0u_u_fupd(s(t_fun(X1,X1),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=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),X15))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c6)).
fof(4, axiom,![X1]:![X15]:![X12]: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),h4s_semiu_u_rings_semiu_u_ringu_u_sr1u_u_fupd(s(t_fun(X1,X1),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=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),X15))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c7)).
fof(5, axiom,![X1]:![X15]:![X12]:s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(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),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c9)).
fof(6, axiom,![X1]:![X15]:![X12]:s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_sr1u_u_fupd(s(t_fun(X1,X1),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c10)).
fof(7, axiom,![X1]:![X15]:![X12]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr1(s(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),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr1(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c3)).
fof(8, axiom,![X1]:![X15]:![X12]:s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_srpu_u_fupd(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(X1,t_fun(X1,X1))),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c11)).
fof(9, axiom,![X1]:![X15]:![X12]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr1(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ringu_u_sr1u_u_fupd(s(t_fun(X1,X1),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=s(X1,happ(s(t_fun(X1,X1),X12),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr1(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15))))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c13)).
fof(10, axiom,![X1]:![X15]:![X12]: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),h4s_semiu_u_rings_semiu_u_ringu_u_srpu_u_fupd(s(t_fun(t_fun(X1,t_fun(X1,X1)),t_fun(X1,t_fun(X1,X1))),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=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))),X12),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),X15))))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c14)).
fof(11, axiom,![X1]:![X15]:![X12]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr0(s(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),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=s(X1,happ(s(t_fun(X1,X1),X12),s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr0(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15))))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c12)).
fof(12, axiom,![X1]:![X15]:![X12]:s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srm(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))),X12),s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15)))))=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))),X12),s(t_fun(X1,t_fun(X1,X1)),h4s_semiu_u_rings_semiu_u_ringu_u_srm(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X15))))),file('i/f/semi_ring/semi__ring__literal__11', ah4s_semiu_u_rings_semiu_u_ringu_u_accfupdsu_c15)).
fof(13, axiom,![X16]:![X1]:![X17]:![X14]:s(X1,happ(s(t_fun(X16,X1),h4s_combins_k(s(X1,X14))),s(X16,X17)))=s(X1,X14),file('i/f/semi_ring/semi__ring__literal__11', ah4s_combins_Ku_u_THM)).
# SZS output end CNFRefutation
