# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),happ(s(t_fun(t_h4s_ringNorms_polynom(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat)),h4s_ratrings_ratu_u_polynomu_u_normalize),s(t_h4s_ringNorms_polynom(t_h4s_rats_rat),happ(s(t_fun(t_h4s_quotes_index,t_h4s_ringNorms_polynom(t_h4s_rats_rat)),h4s_ringnorms_pvar),s(t_h4s_quotes_index,X1)))))=s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat))),h4s_canonicals_consu_u_varlist),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_cons(s(t_h4s_quotes_index,X1),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil))))),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),h4s_canonicals_nilu_u_monom))),file('i/f/ratRing/rat__ring__thms_c51', ch4s_ratRings_ratu_u_ringu_u_thmsu_c51)).
fof(15, axiom,![X7]:![X18]:![X1]:s(t_h4s_canonicals_canonicalu_u_sum(X7),happ(s(t_fun(t_h4s_ringNorms_polynom(X7),t_h4s_canonicals_canonicalu_u_sum(X7)),h4s_ringnorms_polynomu_u_normalize(s(t_h4s_rings_ring(X7),X18))),s(t_h4s_ringNorms_polynom(X7),happ(s(t_fun(t_h4s_quotes_index,t_h4s_ringNorms_polynom(X7)),h4s_ringnorms_pvar),s(t_h4s_quotes_index,X1)))))=s(t_h4s_canonicals_canonicalu_u_sum(X7),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X7),t_h4s_canonicals_canonicalu_u_sum(X7)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X7),t_h4s_canonicals_canonicalu_u_sum(X7))),h4s_canonicals_consu_u_varlist),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_cons(s(t_h4s_quotes_index,X1),s(t_h4s_lists_list(t_h4s_quotes_index),h4s_lists_nil))))),s(t_h4s_canonicals_canonicalu_u_sum(X7),h4s_canonicals_nilu_u_monom))),file('i/f/ratRing/rat__ring__thms_c51', ah4s_ringNorms_polynomu_u_normalizeu_u_defu_c0)).
fof(22, axiom,s(t_fun(t_h4s_ringNorms_polynom(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat)),h4s_ratrings_ratu_u_polynomu_u_normalize)=s(t_fun(t_h4s_ringNorms_polynom(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat)),h4s_ringnorms_polynomu_u_normalize(s(t_h4s_rings_ring(t_h4s_rats_rat),h4s_rings_ring0(s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_rats_rat,h4s_rats_ratu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_fun(t_h4s_rats_rat,t_fun(t_h4s_rats_rat,t_h4s_rats_rat)),h4s_rats_ratu_u_add),s(t_fun(t_h4s_rats_rat,t_fun(t_h4s_rats_rat,t_h4s_rats_rat)),h4s_rats_ratu_u_mul),s(t_fun(t_h4s_rats_rat,t_h4s_rats_rat),h4s_rats_ratu_u_ainv))))),file('i/f/ratRing/rat__ring__thms_c51', ah4s_ratRings_ratu_u_polynomu_u_normalizeu_u_def)).
fof(25, axiom,![X33]:s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat))),h4s_ratrings_ratu_u_ru_u_varlistu_u_insert),s(t_h4s_lists_list(t_h4s_quotes_index),X33))),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),h4s_canonicals_nilu_u_monom)))=s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat))),h4s_canonicals_consu_u_varlist),s(t_h4s_lists_list(t_h4s_quotes_index),X33))),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_rats_rat),h4s_canonicals_nilu_u_monom))),file('i/f/ratRing/rat__ring__thms_c51', ah4s_ratRings_ratu_u_ringu_u_thmsu_c23)).
# SZS output end CNFRefutation
