# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]: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),X5))),s(t_h4s_quotes_varmap(X1),X3))),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_cons(s(t_h4s_quotes_index,X2),s(t_h4s_lists_list(t_h4s_quotes_index),X4)))))=s(X1,happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1),happ(s(t_fun(t_h4s_quotes_index,t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1)),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_index,t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1))),h4s_ringnorms_ru_u_ivlu_u_aux(s(t_h4s_rings_ring(X1),X5))),s(t_h4s_quotes_varmap(X1),X3))),s(t_h4s_quotes_index,X2))),s(t_h4s_lists_list(t_h4s_quotes_index),X4))),file('i/f/ringNorm/interp__vl__def_c1', ch4s_ringNorms_interpu_u_vlu_u_defu_c1)).
fof(5, axiom,![X1]:![X2]:![X3]:![X4]:![X11]: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),X11))),s(t_h4s_quotes_varmap(X1),X3))),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_cons(s(t_h4s_quotes_index,X2),s(t_h4s_lists_list(t_h4s_quotes_index),X4)))))=s(X1,happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1),happ(s(t_fun(t_h4s_quotes_index,t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1)),happ(s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_index,t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1))),h4s_canonicals_ivlu_u_aux(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X11))),s(t_h4s_quotes_varmap(X1),X3))),s(t_h4s_quotes_index,X2))),s(t_h4s_lists_list(t_h4s_quotes_index),X4))),file('i/f/ringNorm/interp__vl__def_c1', ah4s_canonicals_interpu_u_vlu_u_defu_c1)).
fof(6, axiom,![X1]:![X5]: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),X5)))=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),X5))))),file('i/f/ringNorm/interp__vl__def_c1', ah4s_ringNorms_ru_u_interpu_u_vlu_u_def)).
fof(7, axiom,![X1]:![X5]:s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_index,t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1))),h4s_ringnorms_ru_u_ivlu_u_aux(s(t_h4s_rings_ring(X1),X5)))=s(t_fun(t_h4s_quotes_varmap(X1),t_fun(t_h4s_quotes_index,t_fun(t_h4s_lists_list(t_h4s_quotes_index),X1))),h4s_canonicals_ivlu_u_aux(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_rings_semiu_u_ringu_u_of(s(t_h4s_rings_ring(X1),X5))))),file('i/f/ringNorm/interp__vl__def_c1', ah4s_ringNorms_ru_u_ivlu_u_auxu_u_def)).
# SZS output end CNFRefutation
