# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(8, axiom,![X7]:![X8]:![X9]:![X6]:![X10]:![X11]:(s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,X6),s(X8,X9)))=s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,X11),s(X8,X10)))<=>(s(X7,X6)=s(X7,X11)&s(X8,X9)=s(X8,X10))),file('i/f/path/stopped__at__11', ah4s_pairs_CLOSEDu_u_PAIRu_u_EQ)).
fof(9, axiom,![X8]:![X7]:![X12]:![X13]:(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))),X13)))=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))),X12)))<=>s(t_h4s_pairs_prod(X7,t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7))),X13)=s(t_h4s_pairs_prod(X7,t_h4s_llists_llist(t_h4s_pairs_prod(X8,X7))),X12)),file('i/f/path/stopped__at__11', ah4s_paths_toPathu_u_11)).
fof(10, axiom,![X8]:![X7]:![X6]:s(t_h4s_paths_path(X7,X8),h4s_paths_stoppedu_u_at(s(X7,X6)))=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_lnil))))),file('i/f/path/stopped__at__11', ah4s_paths_stoppedu_u_atu_u_def)).
fof(11, conjecture,![X8]:![X7]:![X9]:![X6]:(s(t_h4s_paths_path(X7,X8),h4s_paths_stoppedu_u_at(s(X7,X6)))=s(t_h4s_paths_path(X7,X8),h4s_paths_stoppedu_u_at(s(X7,X9)))<=>s(X7,X6)=s(X7,X9)),file('i/f/path/stopped__at__11', ch4s_paths_stoppedu_u_atu_u_11)).
# SZS output end CNFRefutation
