# 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),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,X9))),s(X1,X7))),s(t_fun(X1,t_fun(X1,X1)),X5))),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,X8))),s(X1,X6))),s(t_fun(X1,t_fun(X1,X1)),X4))),s(t_fun(X1,t_fun(X1,X1)),X2)))<=>(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__11', ch4s_semiu_u_rings_semiu_u_ringu_u_11)).
fof(52, axiom,![X1]:![X31]:![X12]:![X9]:![X20]: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),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,X20))),s(X1,X9))),s(t_fun(X1,t_fun(X1,X1)),X12))),s(t_fun(X1,t_fun(X1,X1)),X31)))))=s(t_fun(X1,t_fun(X1,X1)),X31),file('i/f/semi_ring/semi__ring__11', ah4s_semiu_u_rings_semiu_u_ringu_u_SRM0)).
fof(53, axiom,![X1]:![X31]:![X12]:![X9]:![X20]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr0(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,X20))),s(X1,X9))),s(t_fun(X1,t_fun(X1,X1)),X12))),s(t_fun(X1,t_fun(X1,X1)),X31)))))=s(X1,X20),file('i/f/semi_ring/semi__ring__11', ah4s_semiu_u_rings_semiu_u_ringu_u_SR00)).
fof(54, axiom,![X1]:![X31]:![X12]:![X9]:![X20]: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,X20))),s(X1,X9))),s(t_fun(X1,t_fun(X1,X1)),X12))),s(t_fun(X1,t_fun(X1,X1)),X31)))))=s(t_fun(X1,t_fun(X1,X1)),X12),file('i/f/semi_ring/semi__ring__11', ah4s_semiu_u_rings_semiu_u_ringu_u_SRP0)).
fof(55, axiom,![X1]:![X31]:![X12]:![X9]:![X20]:s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr1(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,X20))),s(X1,X9))),s(t_fun(X1,t_fun(X1,X1)),X12))),s(t_fun(X1,t_fun(X1,X1)),X31)))))=s(X1,X9),file('i/f/semi_ring/semi__ring__11', ah4s_semiu_u_rings_semiu_u_ringu_u_SR10)).
# SZS output end CNFRefutation
