# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_paths_path(X2,X1),h4s_paths_stoppedu_u_at(s(X2,X4)))=s(t_h4s_paths_path(X2,X1),h4s_paths_stoppedu_u_at(s(X2,X3)))<=>s(X2,X4)=s(X2,X3)),file('i/f/path/stopped__at__11', ch4s_paths_stoppedu_u_atu_u_11)).
fof(4, axiom,![X1]:![X2]:![X4]:s(t_h4s_paths_path(X2,X1),h4s_paths_stoppedu_u_at(s(X2,X4)))=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,X4),s(t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2)),h4s_llists_lnil))))),file('i/f/path/stopped__at__11', ah4s_paths_stoppedu_u_atu_u_def)).
fof(5, axiom,![X2]:![X1]:![X5]: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_paths_frompath(s(t_h4s_paths_path(X2,X1),X5)))))=s(t_h4s_paths_path(X2,X1),X5),file('i/f/path/stopped__at__11', ah4s_paths_pathu_u_absrepu_u_bijectionsu_c0)).
fof(8, axiom,![X2]:![X1]:![X6]:?[X5]:s(t_h4s_pairs_prod(X2,t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2))),X6)=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),X5))),file('i/f/path/stopped__at__11', ah4s_paths_fromPathu_u_onto)).
fof(9, axiom,![X1]:![X2]:![X7]:![X6]:(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))),X6)))=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))),X6)=s(t_h4s_pairs_prod(X2,t_h4s_llists_llist(t_h4s_pairs_prod(X1,X2))),X7)),file('i/f/path/stopped__at__11', ah4s_paths_toPathu_u_11)).
fof(11, axiom,![X1]:![X2]:![X5]:?[X6]:s(t_h4s_paths_path(X2,X1),X5)=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))),X6))),file('i/f/path/stopped__at__11', ah4s_paths_toPathu_u_onto)).
fof(14, axiom,![X2]:![X1]:![X4]:?[X11]:?[X6]:s(t_h4s_pairs_prod(X2,X1),X4)=s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X11),s(X1,X6))),file('i/f/path/stopped__at__11', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(16, axiom,![X2]:![X1]:![X3]:![X4]:![X16]:![X5]:(s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X4),s(X1,X3)))=s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X5),s(X1,X16)))<=>(s(X2,X4)=s(X2,X5)&s(X1,X3)=s(X1,X16))),file('i/f/path/stopped__at__11', ah4s_pairs_CLOSEDu_u_PAIRu_u_EQ)).
# SZS output end CNFRefutation
