# 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(41, axiom,![X21]:![X22]:![X23]:![X24]:(![X10]:s(X22,happ(s(t_fun(X21,X22),X23),s(X21,X10)))=s(X22,happ(s(t_fun(X21,X22),X24),s(X21,X10)))=>s(t_fun(X21,X22),X23)=s(t_fun(X21,X22),X24)),file('i/f/path/pgenerate__11', aHLu_EXT)).
fof(43, axiom,![X2]:![X1]:![X25]:![X24]:![X23]:s(X1,h4s_paths_el(s(t_h4s_nums_num,X25),s(t_h4s_paths_path(X1,X2),h4s_paths_pgenerate(s(t_fun(t_h4s_nums_num,X1),X23),s(t_fun(t_h4s_nums_num,X2),X24)))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X23),s(t_h4s_nums_num,X25))),file('i/f/path/pgenerate__11', ah4s_paths_elu_u_pgenerate)).
fof(44, axiom,![X1]:![X2]:![X25]:![X24]:![X23]:s(X2,h4s_paths_nthu_u_label(s(t_h4s_nums_num,X25),s(t_h4s_paths_path(X1,X2),h4s_paths_pgenerate(s(t_fun(t_h4s_nums_num,X1),X23),s(t_fun(t_h4s_nums_num,X2),X24)))))=s(X2,happ(s(t_fun(t_h4s_nums_num,X2),X24),s(t_h4s_nums_num,X25))),file('i/f/path/pgenerate__11', ah4s_paths_nthu_u_labelu_u_pgenerate)).
# SZS output end CNFRefutation
