# 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_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_canonicals_canonicalu_u_sum(t_h4s_integers_int),t_h4s_integers_int)),h4s_integerrings_intu_u_ru_u_interpu_u_cs),s(t_h4s_quotes_varmap(t_h4s_integers_int),X1))),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_integers_int),h4s_canonicals_nilu_u_monom)))=s(t_h4s_integers_int,h4s_integers_intu_u_0),file('i/f/integerRing/int__ring__thms_c48', ch4s_integerRings_intu_u_ringu_u_thmsu_c48)).
fof(7, axiom,s(t_fun(t_h4s_quotes_varmap(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_interpu_u_cs)=s(t_fun(t_h4s_quotes_varmap(t_h4s_integers_int),t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_integers_int),t_h4s_integers_int)),h4s_ringnorms_ru_u_interpu_u_cs(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_c48', ah4s_integerRings_intu_u_ru_u_interpu_u_csu_u_def)).
fof(8, axiom,![X7]:![X1]:![X9]:s(X7,happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X7),X7),happ(s(t_fun(t_h4s_quotes_varmap(X7),t_fun(t_h4s_canonicals_canonicalu_u_sum(X7),X7)),h4s_ringnorms_ru_u_interpu_u_cs(s(t_h4s_rings_ring(X7),X9))),s(t_h4s_quotes_varmap(X7),X1))),s(t_h4s_canonicals_canonicalu_u_sum(X7),h4s_canonicals_nilu_u_monom)))=s(X7,h4s_rings_ringu_u_r0(s(t_h4s_rings_ring(X7),X9))),file('i/f/integerRing/int__ring__thms_c48', ah4s_ringNorms_interpu_u_csu_u_defu_c0)).
fof(11, axiom,![X7]:![X13]:![X14]:![X4]:![X15]:![X16]:s(X7,h4s_rings_ringu_u_r0(s(t_h4s_rings_ring(X7),h4s_rings_ring0(s(X7,X16),s(X7,X15),s(t_fun(X7,t_fun(X7,X7)),X4),s(t_fun(X7,t_fun(X7,X7)),X14),s(t_fun(X7,X7),X13)))))=s(X7,X16),file('i/f/integerRing/int__ring__thms_c48', ah4s_rings_ringu_u_accessorsu_c0)).
# SZS output end CNFRefutation
