# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]: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_nums_num,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_canonicalu_u_sumu_u_scalar),s(t_h4s_nums_num,X3))),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))),h4s_canonicals_consu_u_varlist),s(t_h4s_lists_list(t_h4s_quotes_index),X2))),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),X1)))))=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_canonicals_consu_u_monom),s(t_h4s_nums_num,X3))),s(t_h4s_lists_list(t_h4s_quotes_index),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_nums_num,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_canonicalu_u_sumu_u_scalar),s(t_h4s_nums_num,X3))),s(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),X1))))),file('i/f/numRing/num__ring__thms_c24', ch4s_numRings_numu_u_ringu_u_thmsu_c24)).
fof(7, axiom,s(t_fun(t_h4s_nums_num,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_canonicalu_u_sumu_u_scalar)=s(t_fun(t_h4s_nums_num,t_fun(t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num),t_h4s_canonicals_canonicalu_u_sum(t_h4s_nums_num))),h4s_canonicals_canonicalu_u_sumu_u_scalar(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_c24', ah4s_numRings_numu_u_canonicalu_u_sumu_u_scalaru_u_def)).
fof(12, axiom,![X4]:![X1]:![X19]:![X2]:![X3]:s(t_h4s_canonicals_canonicalu_u_sum(X4),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4)),happ(s(t_fun(X4,t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4))),h4s_canonicals_canonicalu_u_sumu_u_scalar(s(t_h4s_semiu_u_rings_semiu_u_ring(X4),X19))),s(X4,X3))),s(t_h4s_canonicals_canonicalu_u_sum(X4),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4))),h4s_canonicals_consu_u_varlist),s(t_h4s_lists_list(t_h4s_quotes_index),X2))),s(t_h4s_canonicals_canonicalu_u_sum(X4),X1)))))=s(t_h4s_canonicals_canonicalu_u_sum(X4),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4)),happ(s(t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4))),happ(s(t_fun(X4,t_fun(t_h4s_lists_list(t_h4s_quotes_index),t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4)))),h4s_canonicals_consu_u_monom),s(X4,X3))),s(t_h4s_lists_list(t_h4s_quotes_index),X2))),s(t_h4s_canonicals_canonicalu_u_sum(X4),happ(s(t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4)),happ(s(t_fun(X4,t_fun(t_h4s_canonicals_canonicalu_u_sum(X4),t_h4s_canonicals_canonicalu_u_sum(X4))),h4s_canonicals_canonicalu_u_sumu_u_scalar(s(t_h4s_semiu_u_rings_semiu_u_ring(X4),X19))),s(X4,X3))),s(t_h4s_canonicals_canonicalu_u_sum(X4),X1))))),file('i/f/numRing/num__ring__thms_c24', ah4s_canonicals_canonicalu_u_sumu_u_scalaru_u_defu_c1)).
# SZS output end CNFRefutation
