# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X2,X1),h4s_paths_stoppedu_u_at(s(X2,X3)))))=s(t_bool,t),file('i/f/path/finite__thm_c0', ch4s_paths_finiteu_u_thmu_c0)).
fof(6, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/path/finite__thm_c0', aHLu_BOOLu_CASES)).
fof(7, axiom,![X2]:s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(X2),h4s_llists_lnil)))=s(t_bool,t),file('i/f/path/finite__thm_c0', ah4s_llists_LFINITEu_u_THMu_c0)).
fof(9, axiom,![X2]:![X1]:![X6]:s(t_bool,h4s_paths_finite(s(t_h4s_paths_path(X2,X1),X6)))=s(t_bool,h4s_llists_lfinite(s(t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2)),h4s_pairs_snd(s(t_h4s_pairs_prod(X2,t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2))),h4s_paths_frompath(s(t_h4s_paths_path(X2,X1),X6))))))),file('i/f/path/finite__thm_c0', ah4s_paths_finiteu_u_def)).
fof(10, axiom,![X1]:![X2]:![X3]:s(t_h4s_paths_path(X2,X1),h4s_paths_stoppedu_u_at(s(X2,X3)))=s(t_h4s_paths_path(X2,X1),h4s_paths_topath(s(t_h4s_pairs_prod(X2,t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c(s(X2,X3),s(t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2)),h4s_llists_lnil))))),file('i/f/path/finite__thm_c0', ah4s_paths_stoppedu_u_atu_u_def)).
fof(11, axiom,![X1]:![X2]:![X7]:s(t_h4s_pairs_prod(X2,t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2))),h4s_paths_frompath(s(t_h4s_paths_path(X2,X1),h4s_paths_topath(s(t_h4s_pairs_prod(X2,t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2))),X7)))))=s(t_h4s_pairs_prod(X2,t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2))),X7),file('i/f/path/finite__thm_c0', ah4s_paths_pathu_u_repu_u_bijectionsu_u_thmu_c1)).
fof(12, axiom,![X2]:![X1]:![X4]:![X3]:s(X1,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X3),s(X1,X4)))))=s(X1,X4),file('i/f/path/finite__thm_c0', ah4s_pairs_SND0)).
# SZS output end CNFRefutation
