# 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_ringNorms_polynom(t_h4s_integers_int),t_h4s_integers_int),happ(s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_ringNorms_polynom(t_h4s_integers_int),t_h4s_integers_int)),h4s_integerrings_intu_u_interpu_u_p),s(t_h4s_quotes_varmap(t_h4s_integers_int),X1))),s(t_h4s_ringNorms_polynom(t_h4s_integers_int),happ(s(t_fun(t_h4s_quotes_index,t_h4s_ringNorms_polynom(t_h4s_integers_int)),h4s_ringnorms_pvar),s(t_h4s_quotes_index,X2)))))=s(t_h4s_integers_int,h4s_quotes_varmapu_u_find(s(t_h4s_quotes_index,X2),s(t_h4s_quotes_varmap(t_h4s_integers_int),X1))),file('i/f/integerRing/int__ring__thms_c3', ch4s_integerRings_intu_u_ringu_u_thmsu_c3)).
fof(3, axiom,![X3]:![X1]:![X6]:![X2]:s(X3,happ(s(t_fun(t_h4s_ringNorms_polynom(X3),X3),happ(s(t_fun(t_h4s_quotes_varmap(X3),t_fun(t_h4s_ringNorms_polynom(X3),X3)),h4s_ringnorms_interpu_u_p(s(t_h4s_rings_ring(X3),X6))),s(t_h4s_quotes_varmap(X3),X1))),s(t_h4s_ringNorms_polynom(X3),happ(s(t_fun(t_h4s_quotes_index,t_h4s_ringNorms_polynom(X3)),h4s_ringnorms_pvar),s(t_h4s_quotes_index,X2)))))=s(X3,h4s_quotes_varmapu_u_find(s(t_h4s_quotes_index,X2),s(t_h4s_quotes_varmap(X3),X1))),file('i/f/integerRing/int__ring__thms_c3', ah4s_ringNorms_interpu_u_pu_u_defu_c1)).
fof(9, axiom,s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_ringNorms_polynom(t_h4s_integers_int),t_h4s_integers_int)),h4s_integerrings_intu_u_interpu_u_p)=s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_ringNorms_polynom(t_h4s_integers_int),t_h4s_integers_int)),h4s_ringnorms_interpu_u_p(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_c3', ah4s_integerRings_intu_u_interpu_u_pu_u_def)).
# SZS output end CNFRefutation
