# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_ringnorms_ru_u_spolynomu_u_normalize(s(t_h4s_rings_ring(X1),X2))),s(t_h4s_canonicals_spolynom(X1),h4s_canonicals_spvar(s(t_h4s_quotes_index,X3)))))=s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_consu_u_varlist(s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_cons(s(t_h4s_quotes_index,X3),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil))),s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom))),file('i/f/ringNorm/spolynom__normalize__def_c0', ch4s_ringNorms_spolynomu_u_normalizeu_u_defu_c0)).
fof(4, axiom,![X1]:![X10]:![X3]:s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_canonicals_spolynomu_u_normalize(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),X10))),s(t_h4s_canonicals_spolynom(X1),h4s_canonicals_spvar(s(t_h4s_quotes_index,X3)))))=s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_consu_u_varlist(s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_cons(s(t_h4s_quotes_index,X3),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil))),s(t_h4s_canonicals_canonicalu_u_sum(X1),h4s_canonicals_nilu_u_monom))),file('i/f/ringNorm/spolynom__normalize__def_c0', ah4s_canonicals_spolynomu_u_normalizeu_u_defu_c0)).
fof(6, axiom,![X1]:![X2]:s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_ringnorms_ru_u_spolynomu_u_normalize(s(t_h4s_rings_ring(X1),X2)))=s(t_fun(t_h4s_canonicals_spolynom(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),h4s_canonicals_spolynomu_u_normalize(s(t_h4s_semiu_u_rings_semiu_u_ring(X1),h4s_rings_semiu_u_ringu_u_of(s(t_h4s_rings_ring(X1),X2))))),file('i/f/ringNorm/spolynom__normalize__def_c0', ah4s_ringNorms_ru_u_spolynomu_u_normalizeu_u_def)).
# SZS output end CNFRefutation
