# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_integers_int,happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_h4s_integers_int),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_h4s_integers_int)),happ(s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_integers_int,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_h4s_integers_int))),h4s_integerrings_intu_u_ru_u_interpu_u_m),s(t_h4s_quotes_varmap(t_h4s_integers_int),X1))),s(t_h4s_integers_int,X2))),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil)))=s(t_h4s_integers_int,X2),file('i/f/integerRing/int__ring__thms_c43', ch4s_integerRings_intu_u_ringu_u_thmsu_c43)).
fof(5, axiom,s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_integers_int,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_h4s_integers_int))),h4s_integerrings_intu_u_ru_u_interpu_u_m)=s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_integers_int,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_h4s_integers_int))),h4s_ringnorms_ru_u_interpu_u_m(s(t_h4s_rings_ring(t_h4s_integers_int),h4s_rings_ring0(s(t_h4s_integers_int,h4s_integers_intu_u_0),s(t_h4s_integers_int,h4s_integers_intu_u_1),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_integers_int)),h4s_integers_intu_u_add),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_integers_int)),h4s_integers_intu_u_mul),s(t_fun(t_h4s_integers_int,t_h4s_integers_int),h4s_integers_intu_u_neg))))),file('i/f/integerRing/int__ring__thms_c43', ah4s_integerRings_intu_u_ru_u_interpu_u_mu_u_def)).
fof(6, axiom,![X8]:![X1]:![X10]:![X2]:s(X8,happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),X8),happ(s(t_fun(X8,t_fun(t_h4s_lists_list(t_h4s_quotes_index),X8)),happ(s(t_fun(t_h4s_quotes_varmap(X8),t_fun(X8,t_fun(t_h4s_lists_list(t_h4s_quotes_index),X8))),h4s_ringnorms_ru_u_interpu_u_m(s(t_h4s_rings_ring(X8),X10))),s(t_h4s_quotes_varmap(X8),X1))),s(X8,X2))),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil)))=s(X8,X2),file('i/f/integerRing/int__ring__thms_c43', ah4s_ringNorms_interpu_u_mu_u_defu_c0)).
# SZS output end CNFRefutation
