# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]: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,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,X2),s(t_h4s_nums_num,X1)))))))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/pred_set/pair__to__num__inv_c1', ch4s_predu_u_sets_pairu_u_tou_u_numu_u_invu_c1)).
fof(7, axiom,![X8]: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,X8)))=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,X8))),s(t_h4s_nums_num,h4s_numpairs_nsnd(s(t_h4s_nums_num,X8))))),file('i/f/pred_set/pair__to__num__inv_c1', ah4s_predu_u_sets_numu_u_tou_u_pairu_u_def)).
fof(8, axiom,![X8]:![X9]: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,X9),s(t_h4s_nums_num,X8)))))=s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8))),file('i/f/pred_set/pair__to__num__inv_c1', ah4s_predu_u_sets_pairu_u_tou_u_numu_u_def)).
fof(9, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_numpairs_nfst(s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X2),file('i/f/pred_set/pair__to__num__inv_c1', ah4s_numpairs_nfstu_u_npair)).
fof(10, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_numpairs_nsnd(s(t_h4s_nums_num,h4s_numpairs_npair(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X1),file('i/f/pred_set/pair__to__num__inv_c1', ah4s_numpairs_nsndu_u_npair)).
# SZS output end CNFRefutation
