# 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),happ(s(t_fun(X1,t_h4s_canonicals_spolynom(X1)),h4s_canonicals_spconst),s(X1,X3)))))=s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1)))),h4s_canonicals_consu_u_monom),s(X1,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_c1', ch4s_ringNorms_spolynomu_u_normalizeu_u_defu_c1)).
fof(7, axiom,![X1]:![X15]:![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),X15))),s(t_h4s_canonicals_spolynom(X1),happ(s(t_fun(X1,t_h4s_canonicals_spolynom(X1)),h4s_canonicals_spconst),s(X1,X3)))))=s(t_h4s_canonicals_canonicalu_u_sum(X1),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1))),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X1),t_h4s_canonicals_canonicalu_u_sum(X1)))),h4s_canonicals_consu_u_monom),s(X1,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_c1', ah4s_canonicals_spolynomu_u_normalizeu_u_defu_c1)).
fof(10, 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_c1', ah4s_ringNorms_ru_u_spolynomu_u_normalizeu_u_def)).
# SZS output end CNFRefutation
