# 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_canonicals_canonicalu_u_sum(t_h4s_integers_int),t_h4s_integers_int),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_integers_int),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_canonicals_canonicalu_u_sum(t_h4s_integers_int),t_h4s_integers_int))),h4s_integerrings_intu_u_ru_u_icsu_u_aux),s(t_h4s_quotes_varmap(t_h4s_integers_int),X1))),s(t_h4s_integers_int,X2))),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_integers_int),h4s_canonicals_nilu_u_monom)))=s(t_h4s_integers_int,X2),file('i/f/integerRing/int__ring__thms_c45', ch4s_integerRings_intu_u_ringu_u_thmsu_c45)).
fof(7, axiom,s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_integers_int,t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_integers_int),t_h4s_integers_int))),h4s_integerrings_intu_u_ru_u_icsu_u_aux)=s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_integers_int,t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_integers_int),t_h4s_integers_int))),h4s_ringnorms_ru_u_icsu_u_aux(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_c45', ah4s_integerRings_intu_u_ru_u_icsu_u_auxu_u_def)).
fof(8, axiom,![X3]:![X1]:![X14]:![X2]:s(X3,happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X3),X3),happ(s(t_fun(X3,t_fun(t_h4s_canonicals_canonicalu_u_sum(X3),X3)),happ(s(t_fun(t_h4s_quotes_varmap(X3),t_fun(X3,t_fun(t_h4s_canonicals_canonicalu_u_sum(X3),X3))),h4s_ringnorms_ru_u_icsu_u_aux(s(t_h4s_rings_ring(X3),X14))),s(t_h4s_quotes_varmap(X3),X1))),s(X3,X2))),s(t_h4s_canonicals_canonicalu_u_sum(X3),h4s_canonicals_nilu_u_monom)))=s(X3,X2),file('i/f/integerRing/int__ring__thms_c45', ah4s_ringNorms_icsu_u_auxu_u_defu_c0)).
# SZS output end CNFRefutation
