# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,![X7]:![X8]:![X9]:![X6]:s(X8,h4s_pairs_snd(s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,X6),s(X8,X9)))))=s(X8,X9),file('i/f/path/finite__thm_c1', ah4s_pairs_SND0)).
fof(8, axiom,![X8]:![X1]:![X10]:s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X8),h4s_llists_lcons(s(X8,X10),s(t_h4s_llists_llist(X8),X1)))))=s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X8),X1))),file('i/f/path/finite__thm_c1', ah4s_llists_LFINITEu_u_THMu_c1)).
fof(9, axiom,![X8]:![X7]:![X11]:s(t_h4s_pairs_prod(X7,t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7))),h4s_paths_frompath(s(t_h4s_paths_path(X7,X8),h4s_paths_topath(s(t_h4s_pairs_prod(X7,t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7))),X11)))))=s(t_h4s_pairs_prod(X7,t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7))),X11),file('i/f/path/finite__thm_c1', ah4s_paths_pathu_u_repu_u_bijectionsu_u_thmu_c1)).
fof(10, axiom,![X7]:![X8]:![X6]:![X11]:![X12]:s(t_h4s_paths_path(X7,X8),h4s_paths_pcons(s(X7,X6),s(X8,X11),s(t_h4s_paths_path(X7,X8),X12)))=s(t_h4s_paths_path(X7,X8),h4s_paths_topath(s(t_h4s_pairs_prod(X7,t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7))),h4s_pairs_u_2c(s(X7,X6),s(t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7)),h4s_llists_lcons(s(t_h4s_pairs_prod(X8,X7),h4s_pairs_u_2c(s(X8,X11),s(X7,h4s_paths_first(s(t_h4s_paths_path(X7,X8),X12))))),s(t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7)),h4s_pairs_snd(s(t_h4s_pairs_prod(X7,t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7))),h4s_paths_frompath(s(t_h4s_paths_path(X7,X8),X12))))))))))),file('i/f/path/finite__thm_c1', ah4s_paths_pconsu_u_def)).
fof(11, axiom,![X7]:![X8]:![X13]:s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X7,X8),X13)))=s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7)),h4s_pairs_snd(s(t_h4s_pairs_prod(X7,t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7))),h4s_paths_frompath(s(t_h4s_paths_path(X7,X8),X13))))))),file('i/f/path/finite__thm_c1', ah4s_paths_finiteu_u_def)).
fof(12, conjecture,![X7]:![X8]:![X6]:![X11]:![X12]:s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X7,X8),h4s_paths_pcons(s(X7,X6),s(X8,X11),s(t_h4s_paths_path(X7,X8),X12)))))=s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X7,X8),X12))),file('i/f/path/finite__thm_c1', ch4s_paths_finiteu_u_thmu_c1)).
# SZS output end CNFRefutation
