# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(X1,happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1)),h4s_ringnorms_ru_u_interpu_u_cs(s(t_h4s_rings_ring(X1),X3))),s(t_h4s_quotes_varmap(X1),X2))),s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom)))=s(X1,h4s_rings_ringu_u_r0(s(t_h4s_rings_ring(X1),X3))),file('i/f/ringNorm/interp__cs__def_c0', ch4s_ringNorms_interpu_u_csu_u_defu_c0)).
fof(4, axiom,![X1]:![X3]:s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_rings_semiu_u_ringu_u_of(s(t_h4s_rings_ring(X1),X3)))=s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_semiu_u_rings_semiu_u_ring0(s(X1,h4s_rings_ringu_u_r0(s(t_h4s_rings_ring(X1),X3))),s(X1,h4s_rings_ringu_u_r1(s(t_h4s_rings_ring(X1),X3))),s(t_fun(X1,t_fun(X1,X1)),h4s_rings_ringu_u_rp(s(t_h4s_rings_ring(X1),X3))),s(t_fun(X1,t_fun(X1,X1)),h4s_rings_ringu_u_rm(s(t_h4s_rings_ring(X1),X3))))),file('i/f/ringNorm/interp__cs__def_c0', ah4s_rings_semiu_u_ringu_u_ofu_u_def)).
fof(5, axiom,![X1]:![X3]:s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1)),h4s_ringnorms_ru_u_interpu_u_cs(s(t_h4s_rings_ring(X1),X3)))=s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1)),h4s_canonicals_interpu_u_cs(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_rings_semiu_u_ringu_u_of(s(t_h4s_rings_ring(X1),X3))))),file('i/f/ringNorm/interp__cs__def_c0', ah4s_ringNorms_ru_u_interpu_u_csu_u_def)).
fof(6, axiom,![X1]:![X2]:![X10]:s(X1,happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),X1)),h4s_canonicals_interpu_u_cs(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X10))),s(t_h4s_quotes_varmap(X1),X2))),s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom)))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr0(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X10))),file('i/f/ringNorm/interp__cs__def_c0', ah4s_canonicals_interpu_u_csu_u_defu_c0)).
fof(9, axiom,![X1]:![X14]:![X6]:![X15]:![X16]: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_ring0(s(X1,X16),s(X1,X15),s(t_fun(X1,t_fun(X1,X1)),X6),s(t_fun(X1,t_fun(X1,X1)),X14)))))=s(X1,X16),file('i/f/ringNorm/interp__cs__def_c0', ah4s_semiu_u_rings_semiu_u_ringu_u_accessorsu_c0)).
# SZS output end CNFRefutation
