# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_predu_u_sets_pairu_u_tou_u_num(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_predu_u_sets_numu_u_tou_u_pair(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X1),file('i/f/pred_set/pair__to__num__inv_c0', ch4s_predu_u_sets_pairu_u_tou_u_numu_u_invu_c0)).
fof(7, axiom,![X4]:s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,h4s_numpairs_nfst(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_numpairs_nsnd(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,X4),file('i/f/pred_set/pair__to__num__inv_c0', ah4s_numpairs_npair0)).
fof(8, axiom,![X4]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_predu_u_sets_numu_u_tou_u_pair(s(t_h4s_nums_num,X4)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_numpairs_nfst(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_numpairs_nsnd(s(t_h4s_nums_num,X4))))),file('i/f/pred_set/pair__to__num__inv_c0', ah4s_predu_u_sets_numu_u_tou_u_pairu_u_def)).
fof(9, axiom,![X4]:![X5]:s(t_h4s_nums_num,h4s_predu_u_sets_pairu_u_tou_u_num(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),file('i/f/pred_set/pair__to__num__inv_c0', ah4s_predu_u_sets_pairu_u_tou_u_numu_u_def)).
# SZS output end CNFRefutation
