# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:s(t_h4s_paths_path(X3,X2),h4s_paths_pmap(s(t_fun(X4,X3),X7),s(t_fun(X1,X2),X6),s(t_h4s_paths_path(X4,X1),h4s_paths_stoppedu_u_at(s(X4,X5)))))=s(t_h4s_paths_path(X3,X2),h4s_paths_stoppedu_u_at(s(X3,happ(s(t_fun(X4,X3),X7),s(X4,X5))))),file('i/f/path/pmap__thm_c0', ch4s_paths_pmapu_u_thmu_c0)).
fof(2, axiom,![X3]:![X4]:![X5]:s(t_h4s_paths_path(X4,X3),h4s_paths_stoppedu_u_at(s(X4,X5)))=s(t_h4s_paths_path(X4,X3),h4s_paths_topath(s(t_h4s_pairs_prod(X4,t_h4s_llists_llist(t_h4s_pairs_prod(X3,X4))),h4s_pairs_u_2c(s(X4,X5),s(t_h4s_llists_llist(t_h4s_pairs_prod(X3,X4)),h4s_llists_lnil))))),file('i/f/path/pmap__thm_c0', ah4s_paths_stoppedu_u_atu_u_def)).
fof(5, axiom,![X1]:![X2]:![X4]:![X3]:![X12]:![X6]:![X7]:s(t_h4s_paths_path(X2,X1),h4s_paths_pmap(s(t_fun(X4,X2),X7),s(t_fun(X3,X1),X6),s(t_h4s_paths_path(X4,X3),X12)))=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))),happ(s(t_fun(t_h4s_pairs_prod(X4,t_h4s_llists_llist(t_h4s_pairs_prod(X3,X4))),t_h4s_pairs_prod(X2,t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2)))),h4s_pairs_u_23u_23(s(t_fun(X4,X2),X7),s(t_fun(t_h4s_llists_llist(t_h4s_pairs_prod(X3,X4)),t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2))),h4s_llists_lmap(s(t_fun(t_h4s_pairs_prod(X3,X4),t_h4s_pairs_prod(X1,X2)),h4s_pairs_u_23u_23(s(t_fun(X3,X1),X6),s(t_fun(X4,X2),X7))))))),s(t_h4s_pairs_prod(X4,t_h4s_llists_llist(t_h4s_pairs_prod(X3,X4))),h4s_paths_frompath(s(t_h4s_paths_path(X4,X3),X12))))))),file('i/f/path/pmap__thm_c0', ah4s_paths_pmapu_u_def)).
fof(7, axiom,![X3]:![X4]:![X1]:![X2]:![X13]:![X5]:![X6]:![X7]:s(t_h4s_pairs_prod(X3,X1),happ(s(t_fun(t_h4s_pairs_prod(X4,X2),t_h4s_pairs_prod(X3,X1)),h4s_pairs_u_23u_23(s(t_fun(X4,X3),X7),s(t_fun(X2,X1),X6))),s(t_h4s_pairs_prod(X4,X2),h4s_pairs_u_2c(s(X4,X5),s(X2,X13)))))=s(t_h4s_pairs_prod(X3,X1),h4s_pairs_u_2c(s(X3,happ(s(t_fun(X4,X3),X7),s(X4,X5))),s(X1,happ(s(t_fun(X2,X1),X6),s(X2,X13))))),file('i/f/path/pmap__thm_c0', ah4s_pairs_PAIRu_u_MAPu_u_THM)).
fof(8, axiom,![X4]:![X3]:![X7]:s(t_h4s_llists_llist(X3),happ(s(t_fun(t_h4s_llists_llist(X4),t_h4s_llists_llist(X3)),h4s_llists_lmap(s(t_fun(X4,X3),X7))),s(t_h4s_llists_llist(X4),h4s_llists_lnil)))=s(t_h4s_llists_llist(X3),h4s_llists_lnil),file('i/f/path/pmap__thm_c0', ah4s_llists_LMAP0u_c0)).
fof(9, axiom,![X3]:![X4]:![X11]:s(t_h4s_pairs_prod(X4,t_h4s_llists_llist(t_h4s_pairs_prod(X3,X4))),h4s_paths_frompath(s(t_h4s_paths_path(X4,X3),h4s_paths_topath(s(t_h4s_pairs_prod(X4,t_h4s_llists_llist(t_h4s_pairs_prod(X3,X4))),X11)))))=s(t_h4s_pairs_prod(X4,t_h4s_llists_llist(t_h4s_pairs_prod(X3,X4))),X11),file('i/f/path/pmap__thm_c0', ah4s_paths_pathu_u_repu_u_bijectionsu_u_thmu_c1)).
# SZS output end CNFRefutation
