# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num)))),h4s_numrings_numu_u_monomu_u_insert),s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(t_h4s_quotes_index),X1))),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),h4s_canonicals_nilu_u_monom)))=s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),h4s_canonicals_consu_u_monom(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(t_h4s_quotes_index),X1),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),h4s_canonicals_nilu_u_monom))),file('i/f/numRing/num__ring__thms_c19', ch4s_numRings_numu_u_ringu_u_thmsu_c19)).
fof(7, axiom,![X8]:![X14]:![X1]:![X2]:s(t_h4s_canonicals_canonicalu_u_sum(X8),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X8),t_h4s_canonicals_canonicalu_u_sum(X8)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X8),t_h4s_canonicals_canonicalu_u_sum(X8))),happ(s(t_fun(X8,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X8),t_h4s_canonicals_canonicalu_u_sum(X8)))),h4s_canonicals_monomu_u_insert(s(t_h4s_semiu_u_rings_semiu_u_ring(X8),X14))),s(X8,X2))),s(t_h4s_lists_list(t_h4s_quotes_index),X1))),s(t_h4s_canonicals_canonicalu_u_sum(X8),h4s_canonicals_nilu_u_monom)))=s(t_h4s_canonicals_canonicalu_u_sum(X8),h4s_canonicals_consu_u_monom(s(X8,X2),s(t_h4s_lists_list(t_h4s_quotes_index),X1),s(t_h4s_canonicals_canonicalu_u_sum(X8),h4s_canonicals_nilu_u_monom))),file('i/f/numRing/num__ring__thms_c19', ah4s_canonicals_monomu_u_insertu_u_defu_c2)).
fof(8, axiom,s(t_fun(t_h4s_nums_num,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num)))),h4s_numrings_numu_u_monomu_u_insert)=s(t_fun(t_h4s_nums_num,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num)))),h4s_canonicals_monomu_u_insert(s(t_h4s_semiu_u_rings_semiu_u_ring(t_h4s_nums_num),h4s_semiu_u_rings_semiu_u_ring0(s(t_h4s_nums_num,h4s_nums_0),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_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2a))))),file('i/f/numRing/num__ring__thms_c19', ah4s_numRings_numu_u_monomu_u_insertu_u_def)).
# SZS output end CNFRefutation
