# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X2),h4s_paths_labels(s(t_h4s_paths_path(X1,X2),X3)))))=s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X1,X2),X3))),file('i/f/path/finite__labels', ch4s_paths_finiteu_u_labels)).
fof(7, axiom,![X2]:![X1]:![X6]:![X7]:s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X2),h4s_llists_lmap(s(t_fun(X1,X2),X7),s(t_h4s_llists_llist(X1),X6)))))=s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X1),X6))),file('i/f/path/finite__labels', ah4s_llists_LFINITEu_u_MAP)).
fof(8, axiom,![X1]:![X2]:![X8]:s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X1,X2),X8)))=s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1)),h4s_pairs_snd(s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),h4s_paths_frompath(s(t_h4s_paths_path(X1,X2),X8))))))),file('i/f/path/finite__labels', ah4s_paths_finiteu_u_def)).
fof(9, axiom,![X1]:![X2]:![X3]:s(t_h4s_llists_llist(X2),h4s_paths_labels(s(t_h4s_paths_path(X1,X2),X3)))=s(t_h4s_llists_llist(X2),h4s_llists_lmap(s(t_fun(t_h4s_pairs_prod(X2,X1),X2),h4s_pairs_fst),s(t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1)),h4s_pairs_snd(s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),h4s_paths_frompath(s(t_h4s_paths_path(X1,X2),X3))))))),file('i/f/path/finite__labels', ah4s_paths_labelsu_u_LMAP)).
# SZS output end CNFRefutation
