# 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_pgenerate(s(t_fun(t_h4s_nums_num,X1),X6),s(t_fun(t_h4s_nums_num,X2),X4)))=s(t_h4s_paths_path(X1,X2),h4s_paths_pgenerate(s(t_fun(t_h4s_nums_num,X1),X5),s(t_fun(t_h4s_nums_num,X2),X3)))<=>(s(t_fun(t_h4s_nums_num,X1),X6)=s(t_fun(t_h4s_nums_num,X1),X5)&s(t_fun(t_h4s_nums_num,X2),X4)=s(t_fun(t_h4s_nums_num,X2),X3))),file('i/f/path/pgenerate__11', ch4s_paths_pgenerateu_u_11)).
fof(2, axiom,![X7]:![X8]:![X9]:![X10]:(![X11]:s(X8,happ(s(t_fun(X7,X8),X9),s(X7,X11)))=s(X8,happ(s(t_fun(X7,X8),X10),s(X7,X11)))=>s(t_fun(X7,X8),X9)=s(t_fun(X7,X8),X10)),file('i/f/path/pgenerate__11', aHLu_EXT)).
fof(43, axiom,![X1]:![X2]:![X28]:![X10]:![X9]:s(X2,h4s_paths_nthu_u_label(s(t_h4s_nums_num,X28),s(t_h4s_paths_path(X1,X2),h4s_paths_pgenerate(s(t_fun(t_h4s_nums_num,X1),X9),s(t_fun(t_h4s_nums_num,X2),X10)))))=s(X2,happ(s(t_fun(t_h4s_nums_num,X2),X10),s(t_h4s_nums_num,X28))),file('i/f/path/pgenerate__11', ah4s_paths_nthu_u_labelu_u_pgenerate)).
fof(45, axiom,![X2]:![X1]:![X28]:![X10]:![X9]:s(X1,h4s_paths_el(s(t_h4s_nums_num,X28),s(t_h4s_paths_path(X1,X2),h4s_paths_pgenerate(s(t_fun(t_h4s_nums_num,X1),X9),s(t_fun(t_h4s_nums_num,X2),X10)))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X9),s(t_h4s_nums_num,X28))),file('i/f/path/pgenerate__11', ah4s_paths_elu_u_pgenerate)).
# SZS output end CNFRefutation
