# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(X1,happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1)),h4s_ringnorms_ru_u_interpu_u_vl(s(t_h4s_rings_ring(X1),X3))),s(t_h4s_quotes_varmap(X1),X2))),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil)))=s(X1,h4s_rings_ringu_u_r1(s(t_h4s_rings_ring(X1),X3))),file('i/f/ringNorm/interp__vl__def_c0', ch4s_ringNorms_interpu_u_vlu_u_defu_c0)).
fof(9, axiom,![X1]:![X2]:![X18]:s(X1,happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1)),h4s_canonicals_interpu_u_vl(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X18))),s(t_h4s_quotes_varmap(X1),X2))),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil)))=s(X1,h4s_semiu_u_rings_semiu_u_ringu_u_sr1(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X18))),file('i/f/ringNorm/interp__vl__def_c0', ah4s_canonicals_interpu_u_vlu_u_defu_c0)).
fof(10, axiom,![X1]:![X3]:s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1)),h4s_ringnorms_ru_u_interpu_u_vl(s(t_h4s_rings_ring(X1),X3)))=s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1)),h4s_canonicals_interpu_u_vl(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__vl__def_c0', ah4s_ringNorms_ru_u_interpu_u_vlu_u_def)).
fof(14, 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__vl__def_c0', ah4s_rings_semiu_u_ringu_u_ofu_u_def)).
fof(15, axiom,![X1]:![X14]:![X9]:![X16]:![X21]: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_ring0(s(X1,X21),s(X1,X16),s(t_fun(X1,t_fun(X1,X1)),X9),s(t_fun(X1,t_fun(X1,X1)),X14)))))=s(X1,X16),file('i/f/ringNorm/interp__vl__def_c0', ah4s_semiu_u_rings_semiu_u_ringu_u_accessorsu_c1)).
# SZS output end CNFRefutation
