# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]: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_quotes_varmap(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_vl),s(t_h4s_quotes_varmap(t_h4s_integers_int),X1))),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil)))=s(t_h4s_integers_int,h4s_integers_intu_u_1),file('i/f/integerRing/int__ring__thms_c41', ch4s_integerRings_intu_u_ringu_u_thmsu_c41)).
fof(5, axiom,s(t_fun(t_h4s_quotes_varmap(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_vl)=s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_h4s_integers_int)),h4s_ringnorms_ru_u_interpu_u_vl(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_c41', ah4s_integerRings_intu_u_ru_u_interpu_u_vlu_u_def)).
fof(6, axiom,![X7]:![X1]:![X9]:s(X7,happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),X7),happ(s(t_fun(t_h4s_quotes_varmap(X7),t_fun(t_h4s_lists_list(t_h4s_quotes_index),X7)),h4s_ringnorms_ru_u_interpu_u_vl(s(t_h4s_rings_ring(X7),X9))),s(t_h4s_quotes_varmap(X7),X1))),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil)))=s(X7,h4s_rings_ringu_u_r1(s(t_h4s_rings_ring(X7),X9))),file('i/f/integerRing/int__ring__thms_c41', ah4s_ringNorms_interpu_u_vlu_u_defu_c0)).
fof(8, axiom,![X7]:![X11]:![X12]:![X4]:![X13]:![X14]:s(X7,h4s_rings_ringu_u_r1(s(t_h4s_rings_ring(X7),h4s_rings_ring0(s(X7,X14),s(X7,X13),s(t_fun(X7,t_fun(X7,X7)),X4),s(t_fun(X7,t_fun(X7,X7)),X12),s(t_fun(X7,X7),X11)))))=s(X7,X13),file('i/f/integerRing/int__ring__thms_c41', ah4s_rings_ringu_u_accessorsu_c1)).
# SZS output end CNFRefutation
