# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(![X6]:![X7]:![X8]:![X9]:s(X2,happ(s(t_fun(X3,X2),happ(s(t_fun(t_fun(X3,X4),t_fun(X3,X2)),happ(s(t_fun(t_fun(X4,X1),t_fun(t_fun(X3,X4),t_fun(X3,X2))),happ(s(t_fun(t_fun(X1,X2),t_fun(t_fun(X4,X1),t_fun(t_fun(X3,X4),t_fun(X3,X2)))),X5),s(t_fun(X1,X2),X6))),s(t_fun(X4,X1),X7))),s(t_fun(X3,X4),X8))),s(X3,X9)))=s(X2,happ(s(t_fun(X1,X2),X6),s(X1,happ(s(t_fun(X4,X1),X7),s(X4,happ(s(t_fun(X3,X4),X8),s(X3,X9)))))))=>![X10]:(![X6]:![X8]:![X7]:s(t_fun(X3,X2),happ(s(t_fun(t_fun(X4,X1),t_fun(X3,X2)),happ(s(t_fun(t_fun(X3,X4),t_fun(t_fun(X4,X1),t_fun(X3,X2))),happ(s(t_fun(t_fun(X1,X2),t_fun(t_fun(X3,X4),t_fun(t_fun(X4,X1),t_fun(X3,X2)))),X10),s(t_fun(X1,X2),X6))),s(t_fun(X3,X4),X8))),s(t_fun(X4,X1),X7)))=s(t_fun(X3,X2),happ(s(t_fun(t_fun(X3,X4),t_fun(X3,X2)),happ(s(t_fun(t_fun(X4,X1),t_fun(t_fun(X3,X4),t_fun(X3,X2))),happ(s(t_fun(t_fun(X1,X2),t_fun(t_fun(X4,X1),t_fun(t_fun(X3,X4),t_fun(X3,X2)))),X5),s(t_fun(X1,X2),X6))),s(t_fun(X4,X1),X7))),s(t_fun(X3,X4),X8)))=>![X11]:(![X12]:![X7]:![X13]:![X14]:s(X1,happ(s(t_fun(X4,X1),happ(s(t_fun(t_fun(X4,X3),t_fun(X4,X1)),happ(s(t_fun(t_fun(X3,X2),t_fun(t_fun(X4,X3),t_fun(X4,X1))),happ(s(t_fun(t_fun(X2,X1),t_fun(t_fun(X3,X2),t_fun(t_fun(X4,X3),t_fun(X4,X1)))),X11),s(t_fun(X2,X1),X12))),s(t_fun(X3,X2),X7))),s(t_fun(X4,X3),X13))),s(X4,X14)))=s(X1,happ(s(t_fun(X2,X1),X12),s(X2,happ(s(t_fun(X3,X2),X7),s(X3,happ(s(t_fun(X4,X3),X13),s(X4,X14)))))))=>![X15]:(![X12]:![X13]:![X7]:s(t_fun(X4,X1),happ(s(t_fun(t_fun(X3,X2),t_fun(X4,X1)),happ(s(t_fun(t_fun(X4,X3),t_fun(t_fun(X3,X2),t_fun(X4,X1))),happ(s(t_fun(t_fun(X2,X1),t_fun(t_fun(X4,X3),t_fun(t_fun(X3,X2),t_fun(X4,X1)))),X15),s(t_fun(X2,X1),X12))),s(t_fun(X4,X3),X13))),s(t_fun(X3,X2),X7)))=s(t_fun(X4,X1),happ(s(t_fun(t_fun(X4,X3),t_fun(X4,X1)),happ(s(t_fun(t_fun(X3,X2),t_fun(t_fun(X4,X3),t_fun(X4,X1))),happ(s(t_fun(t_fun(X2,X1),t_fun(t_fun(X3,X2),t_fun(t_fun(X4,X3),t_fun(X4,X1)))),X11),s(t_fun(X2,X1),X12))),s(t_fun(X3,X2),X7))),s(t_fun(X4,X3),X13)))=>![X6]:![X12]:![X13]:![X8]:((p(s(t_bool,h4s_indu_u_types_iso(s(t_fun(X3,X4),X8),s(t_fun(X4,X3),X13))))&p(s(t_bool,h4s_indu_u_types_iso(s(t_fun(X2,X1),X12),s(t_fun(X1,X2),X6)))))=>p(s(t_bool,h4s_indu_u_types_iso(s(t_fun(t_fun(X3,X2),t_fun(X4,X1)),happ(s(t_fun(t_fun(X4,X3),t_fun(t_fun(X3,X2),t_fun(X4,X1))),happ(s(t_fun(t_fun(X2,X1),t_fun(t_fun(X4,X3),t_fun(t_fun(X3,X2),t_fun(X4,X1)))),X15),s(t_fun(X2,X1),X12))),s(t_fun(X4,X3),X13))),s(t_fun(t_fun(X4,X1),t_fun(X3,X2)),happ(s(t_fun(t_fun(X3,X4),t_fun(t_fun(X4,X1),t_fun(X3,X2))),happ(s(t_fun(t_fun(X1,X2),t_fun(t_fun(X3,X4),t_fun(t_fun(X4,X1),t_fun(X3,X2)))),X10),s(t_fun(X1,X2),X6))),s(t_fun(X3,X4),X8))))))))))),file('i/f/ind_type/ISO__FUN', ch4s_indu_u_types_ISOu_u_FUN)).
fof(11, axiom,![X2]:![X3]:![X12]:![X8]:(p(s(t_bool,h4s_indu_u_types_iso(s(t_fun(X3,X2),X8),s(t_fun(X2,X3),X12))))<=>(![X17]:s(X2,happ(s(t_fun(X3,X2),X8),s(X3,happ(s(t_fun(X2,X3),X12),s(X2,X17)))))=s(X2,X17)&![X22]:s(X3,happ(s(t_fun(X2,X3),X12),s(X2,happ(s(t_fun(X3,X2),X8),s(X3,X22)))))=s(X3,X22))),file('i/f/ind_type/ISO__FUN', ah4s_indu_u_types_ISO0)).
fof(12, axiom,![X24]:![X25]:![X8]:![X12]:(![X17]:s(X25,happ(s(t_fun(X24,X25),X8),s(X24,X17)))=s(X25,happ(s(t_fun(X24,X25),X12),s(X24,X17)))=>s(t_fun(X24,X25),X8)=s(t_fun(X24,X25),X12)),file('i/f/ind_type/ISO__FUN', aHLu_EXT)).
# SZS output end CNFRefutation
