# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:~(s(t_h4s_paths_path(X1,X2),h4s_paths_stoppedu_u_at(s(X1,X4)))=s(t_h4s_paths_path(X1,X2),h4s_paths_pcons(s(X1,X3),s(X2,X5),s(t_h4s_paths_path(X1,X2),X6)))),file('i/f/path/stopped__at__not__pcons_c0', ch4s_paths_stoppedu_u_atu_u_notu_u_pconsu_c0)).
fof(3, axiom,![X1]:![X2]:![X4]:![X5]:![X6]:s(t_h4s_paths_path(X1,X2),h4s_paths_pcons(s(X1,X4),s(X2,X5),s(t_h4s_paths_path(X1,X2),X6)))=s(t_h4s_paths_path(X1,X2),h4s_paths_topath(s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),h4s_pairs_u_2c(s(X1,X4),s(t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1)),h4s_llists_lcons(s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X5),s(X1,h4s_paths_first(s(t_h4s_paths_path(X1,X2),X6))))),s(t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1)),h4s_pairs_snd(s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),h4s_paths_frompath(s(t_h4s_paths_path(X1,X2),X6))))))))))),file('i/f/path/stopped__at__not__pcons_c0', ah4s_paths_pconsu_u_def)).
fof(4, axiom,![X2]:![X1]:![X7]:![X5]:(s(t_h4s_paths_path(X1,X2),h4s_paths_topath(s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),X5)))=s(t_h4s_paths_path(X1,X2),h4s_paths_topath(s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),X7)))<=>s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),X5)=s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),X7)),file('i/f/path/stopped__at__not__pcons_c0', ah4s_paths_toPathu_u_11)).
fof(5, axiom,![X2]:![X1]:![X4]:s(t_h4s_paths_path(X1,X2),h4s_paths_stoppedu_u_at(s(X1,X4)))=s(t_h4s_paths_path(X1,X2),h4s_paths_topath(s(t_h4s_pairs_prod(X1,t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1))),h4s_pairs_u_2c(s(X1,X4),s(t_h4s_llists_llist(t_h4s_pairs_prod(X2,X1)),h4s_llists_lnil))))),file('i/f/path/stopped__at__not__pcons_c0', ah4s_paths_stoppedu_u_atu_u_def)).
fof(6, axiom,![X1]:![X2]:![X3]:![X4]:![X8]:![X9]:(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3)))=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X9),s(X2,X8)))<=>(s(X1,X4)=s(X1,X9)&s(X2,X3)=s(X2,X8))),file('i/f/path/stopped__at__not__pcons_c0', ah4s_pairs_CLOSEDu_u_PAIRu_u_EQ)).
fof(7, axiom,![X1]:![X10]:![X11]:~(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X11),s(t_h4s_llists_llist(X1),X10)))=s(t_h4s_llists_llist(X1),h4s_llists_lnil)),file('i/f/path/stopped__at__not__pcons_c0', ah4s_llists_LCONSu_u_NOTu_u_NILu_c0)).
# SZS output end CNFRefutation
