path: root/test/regress/regress1/quantifiers/cdt-0208-to.smt2

; COMMAND-LINE: --full-saturate-quant
; EXPECT: unsat
(set-logic ALL)
(set-info :status unsat)
(declare-sort A$ 0)
(declare-sort A_set$ 0)
(declare-sort A_a_fun$ 0)
(declare-sort A_bool_fun$ 0)
(declare-sort Bool_a_fun$ 0)
(declare-sort A_a_llist_fun$ 0)
(declare-sort A_llist_a_fun$ 0)
(declare-sort Bool_bool_fun$ 0)
(declare-sort A_a_bool_fun_fun$ 0)
(declare-sort A_llist_bool_fun$ 0)
(declare-sort Bool_a_llist_fun$ 0)
(declare-sort A_llist_a_set_fun$ 0)
(declare-sort A_a_llist_a_fun_fun$ 0)
(declare-sort A_llist_a_llist_fun$ 0)
(declare-sort A_a_llist_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_set$ 0)
(declare-sort A_a_llist_a_llist_fun_fun$ 0)
(declare-sort A_llist_a_llist_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_set_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_bool_fun$ 0)
(declare-sort Bool_a_llist_a_llist_prod_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_set_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_prod_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_fun$ 0)
(declare-sort A_llist_a_llist_prod_set_bool_fun$ 0)
(declare-sort Bool_a_llist_a_llist_prod_set_fun$ 0)
(declare-sort A_llist_a_llist_prod_llist_bool_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_prod_set_fun$ 0)
(declare-sort A_a_llist_a_fun_fun_a_llist_a_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_bool_fun_bool_fun$ 0)
(declare-sort Bool_a_llist_a_llist_prod_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_prod_bool_fun_fun$ 0)
(declare-sort A_a_llist_a_fun_fun_a_a_llist_a_fun_fun_fun$ 0)
(declare-sort A_a_llist_bool_fun_fun_a_llist_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_fun_a_llist_a_llist_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_fun$ 0)
(declare-sort A_a_llist_a_fun_fun_a_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_a_llist_bool_fun_fun_a_a_llist_a_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$ 0)
(declare-sort A_a_llist_a_fun_fun_a_a_llist_a_llist_fun_fun_fun$ 0)
(declare-sort A_a_llist_a_llist_fun_fun_a_a_llist_a_fun_fun_fun$ 0)
(declare-sort A_a_llist_a_llist_fun_fun_a_llist_a_llist_fun_fun$ 0)
(declare-sort A_a_llist_bool_fun_fun_a_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_set_fun$ 0)
(declare-sort A_llist_a_llist_prod_set_a_llist_a_llist_prod_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$ 0)
(declare-sort A_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun$ 0)
(declare-sort A_a_llist_a_llist_fun_fun_a_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_a_llist_bool_fun_fun_a_a_llist_a_llist_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_fun_a_llist_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$ 0)
(declare-sort A_a_llist_a_llist_fun_fun_a_a_llist_a_llist_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_set_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$ 0)
(declare-sort A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun$ 0)
(declare-sort A_llist_a_llist_prod_set_a_llist_a_llist_prod_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun$ 0)
(declare-sort A_llist_a_fun_a_llist_a_llist_fun_a_llist_a_llist_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_bool_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun$ 0)
(declare-sort A_llist_a_llist_bool_fun_fun_a_llist_a_llist_prod_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_prod_set$ 0)
(declare-sort A_llist_a_llist_prod_bool_fun_a_llist_a_llist_prod_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_bool_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_set_a_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_set_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_bool_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_prod_set_fun_a_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_prod_set_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun_a_llist_a_llist_prod_llist_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$ 0)
(declare-sort A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$ 0)
(declare-codatatypes ((A_llist$ 0)) (((lNil$) (lCons$ (lhd$ A$) (ltl$ A_llist$)))))
(declare-datatypes ((A_llist_a_llist_prod$ 0)) (((pair$ (fst$ A_llist$) (snd$ A_llist$)))))
(declare-codatatypes ((A_llist_a_llist_prod_llist$ 0)) (((lNil$a) (lCons$a (lhd$a A_llist_a_llist_prod$) (ltl$a A_llist_a_llist_prod_llist$)))))
(declare-datatypes ((A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_prod$ 0) (A_llist_a_llist_prod_a_llist_a_llist_prod_prod$ 0)) (
  ((pair$a (fst$a A_llist_a_llist_prod_llist$) (snd$a A_llist_a_llist_prod_llist$)))
  ((pair$b (fst$b A_llist_a_llist_prod$) (snd$b A_llist_a_llist_prod$)))))
(declare-fun p$ () A_llist_a_llist_bool_fun_fun$)
(declare-fun uu$ (Bool) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun xs$ () A_llist$)
(declare-fun ys$ () A_llist$)
(declare-fun sup$ (A_llist_a_llist_prod_set$ A_llist_a_llist_prod_set$) A_llist_a_llist_prod_set$)
(declare-fun the$ (A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_prod$)
(declare-fun uua$ (Bool) A_llist_a_llist_bool_fun_fun_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uub$ (A_llist_a_llist_prod_a_llist_a_llist_prod_set_fun$) A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$)
(declare-fun uuc$ (A_llist_a_llist_prod_a_llist_a_llist_prod_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun$)
(declare-fun uud$ (A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uue$ (A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun uuf$ (A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun uug$ (A_set$) A_bool_fun$)
(declare-fun uuh$ (A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$)
(declare-fun uui$ (A_llist_a_llist_prod_set$) A_llist_a_llist_prod_bool_fun$)
(declare-fun uuj$ (Bool_bool_fun$) A_llist_a_llist_bool_fun_fun_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uuk$ (Bool_a_llist_a_llist_prod_fun$ A_llist_a_llist_bool_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun$)
(declare-fun uul$ (A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uum$ (Bool_a_llist_a_llist_prod_set_fun$) A_llist_a_llist_bool_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_fun$)
(declare-fun uun$ (A_llist_a_llist_prod_set_bool_fun$) A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uuo$ (Bool_a_llist_a_llist_prod_bool_fun_fun$) A_llist_a_llist_bool_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$)
(declare-fun uup$ (Bool_bool_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun uuq$ (A_llist_a_llist_prod_bool_fun_bool_fun$) A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uur$ (A_llist_a_llist_prod_a_llist_a_llist_prod_fun$ A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun$)
(declare-fun uus$ (A_llist_a_llist_prod_set_a_llist_a_llist_prod_fun$ A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun$)
(declare-fun uut$ (A_llist_a_llist_bool_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun uuu$ (A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_fun$)
(declare-fun uuv$ (A_llist_a_llist_a_llist_a_llist_prod_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun$)
(declare-fun uuw$ (A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uux$ (A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun uuy$ (A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$)
(declare-fun uuz$ (A_llist_a_llist_bool_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uva$ () A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uvb$ () A_llist_a_llist_bool_fun_fun$)
(declare-fun uvc$ () A_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun$)
(declare-fun uvd$ () A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun$)
(declare-fun uve$ () A_llist_a_fun$)
(declare-fun uvf$ () A_llist_a_llist_fun$)
(declare-fun uvg$ (A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uvh$ (Bool_bool_fun$) A_a_llist_bool_fun_fun_a_a_llist_bool_fun_fun_fun$)
(declare-fun uvi$ (Bool_a_llist_fun$) A_a_llist_bool_fun_fun_a_a_llist_a_llist_fun_fun_fun$)
(declare-fun uvj$ (Bool_a_fun$) A_a_llist_bool_fun_fun_a_a_llist_a_fun_fun_fun$)
(declare-fun uvk$ (A_llist_bool_fun$) A_a_llist_a_llist_fun_fun_a_a_llist_bool_fun_fun_fun$)
(declare-fun uvl$ (A_llist_a_llist_fun$) A_a_llist_a_llist_fun_fun_a_a_llist_a_llist_fun_fun_fun$)
(declare-fun uvm$ (A_llist_a_fun$) A_a_llist_a_llist_fun_fun_a_a_llist_a_fun_fun_fun$)
(declare-fun uvn$ (A_bool_fun$) A_a_llist_a_fun_fun_a_a_llist_bool_fun_fun_fun$)
(declare-fun uvo$ (A_a_llist_fun$) A_a_llist_a_fun_fun_a_a_llist_a_llist_fun_fun_fun$)
(declare-fun uvp$ (A_a_fun$) A_a_llist_a_fun_fun_a_a_llist_a_fun_fun_fun$)
(declare-fun uvq$ () A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun$)
(declare-fun uvr$ () A_a_llist_bool_fun_fun$)
(declare-fun uvs$ () A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun$)
(declare-fun uvt$ () A_a_llist_bool_fun_fun$)
(declare-fun uvu$ () A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun_fun$)
(declare-fun uvv$ () A_a_llist_a_llist_fun_fun$)
(declare-fun uvw$ () A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$)
(declare-fun uvx$ () A_llist_a_llist_a_llist_a_llist_prod_fun_fun$)
(declare-fun uvy$ (A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uvz$ (A_llist_a_llist_prod_set$) A_llist_a_llist_bool_fun_fun$)
(declare-fun uwa$ () A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun_fun$)
(declare-fun uwb$ () A_a_llist_a_fun_fun$)
(declare-fun uwc$ (A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$)
(declare-fun uwd$ (A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_fun_fun$)
(declare-fun uwe$ (A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uwf$ (A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun uwg$ (A_llist_a_llist_bool_fun_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun uwh$ (A_llist_a_llist_prod_llist$) A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun_fun$)
(declare-fun uwi$ (A_llist$) A_a_llist_a_llist_fun_fun$)
(declare-fun uwj$ (A_llist$) A_a_llist_a_llist_fun_fun$)
(declare-fun uwk$ (A_llist_a_llist_prod_set$) A_llist_a_llist_fun_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun uwl$ (A_llist_bool_fun$) A_llist_a_llist_a_llist_prod_set_fun_a_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun_fun$)
(declare-fun uwm$ (A_llist_bool_fun$) A_llist_a_llist_a_llist_prod_set_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$)
(declare-fun uwn$ (A_llist_a_llist_prod_set$) A_llist_a_llist_prod_set_a_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun_fun$)
(declare-fun uwo$ (A_llist_a_llist_prod_set$) A_llist_a_llist_prod_set_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$)
(declare-fun uwp$ (A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_prod_bool_fun_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uwq$ (A_llist_a_llist_prod_set$) A_llist_a_llist_prod_set_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uwr$ (A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_prod_bool_fun_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uws$ (A_llist_a_llist_prod_set$) A_llist_a_llist_prod_bool_fun_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uwt$ (A_llist$) A_llist_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun lset$ (A_llist_a_llist_prod_llist$) A_llist_a_llist_prod_set$)
(declare-fun swap$ (A_llist_a_llist_prod$) A_llist_a_llist_prod$)
(declare-fun lnull$ () A_llist_bool_fun$)
(declare-fun lset$a (A_llist$) A_set$)
(declare-fun swap$a (A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)
(declare-fun image2$ (A_llist_a_llist_prod_set$ A_llist_a_llist_prod_a_llist_fun$ A_llist_a_llist_prod_a_llist_fun$) A_llist_a_llist_prod_set$)
(declare-fun in_rel$ (A_llist_a_llist_prod_set$) A_llist_a_llist_bool_fun_fun$)
(declare-fun lnull$a () A_llist_a_llist_prod_llist_bool_fun$)
(declare-fun member$ (A_llist_a_llist_prod$) A_llist_a_llist_prod_set_bool_fun$)
(declare-fun collect$ (A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_prod_set$)
(declare-fun fun_app$ (A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun$ A_llist_a_llist_prod_llist$) A_llist_a_llist_prod_llist$)
(declare-fun lappend$ (A_llist_a_llist_prod_llist$) A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun$)
(declare-fun less_eq$ (A_llist_a_llist_prod_set$) A_llist_a_llist_prod_set_bool_fun$)
(declare-fun lfinite$ (A_llist_a_llist_prod_llist$) Bool)
(declare-fun lmember$ (A_llist_a_llist_prod$) A_llist_a_llist_prod_llist_bool_fun$)
(declare-fun lprefix$ (A_llist$) A_llist_bool_fun$)
(declare-fun member$a (A_llist_a_llist_prod_a_llist_a_llist_prod_prod$ A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$) Bool)
(declare-fun member$b (A$ A_set$) Bool)
(declare-fun member$c (A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_prod$ A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_prod_set$) Bool)
(declare-fun uncurry$ () A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$)
(declare-fun collect$a (A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)
(declare-fun collect$b (A_bool_fun$) A_set$)
(declare-fun fun_app$a (A_llist_a_llist_fun$ A_llist$) A_llist$)
(declare-fun fun_app$b (A_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun$ A_llist_a_llist_prod_llist$) A_llist_a_llist_prod$)
(declare-fun fun_app$c (A_llist_a_fun$ A_llist$) A$)
(declare-fun fun_app$d (A_llist_a_llist_a_llist_prod_fun$ A_llist$) A_llist_a_llist_prod$)
(declare-fun fun_app$e (A_llist_a_llist_a_llist_a_llist_prod_fun_fun$ A_llist$) A_llist_a_llist_a_llist_prod_fun$)
(declare-fun fun_app$f (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)
(declare-fun fun_app$g (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun$)
(declare-fun fun_app$h (A_llist_a_llist_prod_bool_fun$ A_llist_a_llist_prod$) Bool)
(declare-fun fun_app$i (A_llist_a_llist_prod_set_bool_fun$ A_llist_a_llist_prod_set$) Bool)
(declare-fun fun_app$j (A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) Bool)
(declare-fun fun_app$k (A_bool_fun$ A$) Bool)
(declare-fun fun_app$l (A_llist_bool_fun$ A_llist$) Bool)
(declare-fun fun_app$m (A_llist_a_llist_bool_fun_fun$ A_llist$) A_llist_bool_fun$)
(declare-fun fun_app$n (A_llist_a_llist_a_llist_prod_set_fun$ A_llist$) A_llist_a_llist_prod_set$)
(declare-fun fun_app$o (A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$ A_llist$) A_llist_a_llist_a_llist_prod_set_fun$)
(declare-fun fun_app$p (A_llist_a_llist_a_llist_prod_bool_fun_fun$ A_llist$) A_llist_a_llist_prod_bool_fun$)
(declare-fun fun_app$q (A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$ A_llist$) A_llist_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun fun_app$r (A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_bool_fun$)
(declare-fun fun_app$s (A_llist_a_llist_prod_set_a_llist_a_llist_prod_bool_fun_fun$ A_llist_a_llist_prod_set$) A_llist_a_llist_prod_bool_fun$)
(declare-fun fun_app$t (A_llist_a_llist_prod_bool_fun_a_llist_a_llist_prod_bool_fun_fun$ A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_prod_bool_fun$)
(declare-fun fun_app$u (A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun$)
(declare-fun fun_app$v (A_a_llist_a_llist_fun_fun$ A$) A_llist_a_llist_fun$)
(declare-fun fun_app$w (A_llist_a_llist_prod_a_llist_a_llist_prod_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod$)
(declare-fun fun_app$x (A_llist_a_llist_prod_a_llist_a_llist_prod_set_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_set$)
(declare-fun fun_app$y (A_llist_a_llist_prod_a_llist_a_llist_bool_fun_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_bool_fun_fun$)
(declare-fun fun_app$z (A_llist_a_llist_fun_a_llist_a_llist_bool_fun_fun_fun$ A_llist_a_llist_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun lappend$a (A_llist$) A_llist_a_llist_fun$)
(declare-fun less_eq$a (A_set$ A_set$) Bool)
(declare-fun less_eq$b (A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_prod_bool_fun_bool_fun$)
(declare-fun less_eq$c (A_llist_a_llist_bool_fun_fun$ A_llist_a_llist_bool_fun_fun$) Bool)
(declare-fun lex_prod$ (A_llist_a_llist_prod_set$ A_llist_a_llist_prod_set$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)
(declare-fun lfinite$a (A_llist$) Bool)
(declare-fun lmember$a (A$) A_llist_bool_fun$)
(declare-fun lprefix$a (A_llist_a_llist_prod_llist$) A_llist_a_llist_prod_llist_bool_fun$)
(declare-fun same_fst$ (A_llist_bool_fun$ A_llist_a_llist_a_llist_prod_set_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)
(declare-fun uncurry$a () A_llist_a_llist_bool_fun_fun_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun uncurry$b () A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$)
(declare-fun uncurry$c () A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun uncurry$d () A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun_fun$)
(declare-fun uncurry$e (A_llist_a_llist_a_set_fun_fun$ A_llist_a_llist_prod$) A_set$)
(declare-fun uncurry$f (A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)
(declare-fun uncurry$g (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) A_llist_a_llist_prod_set$)
(declare-fun uncurry$h (A_llist_a_llist_prod_a_llist_a_llist_prod_a_set_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) A_set$)
(declare-fun uncurry$i (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)
(declare-fun uncurry$j (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) A_llist_a_llist_prod$)
(declare-fun uncurry$k (A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)
(declare-fun uncurry$l (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)
(declare-fun fun_app$aa (A_llist_a_llist_a_llist_bool_fun_fun_fun$ A_llist$) A_llist_a_llist_bool_fun_fun$)
(declare-fun fun_app$ab (A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_fun$)
(declare-fun fun_app$ac (A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun fun_app$ad (A_llist_a_llist_bool_fun_fun_a_llist_a_llist_prod_bool_fun_fun$ A_llist_a_llist_bool_fun_fun$) A_llist_a_llist_prod_bool_fun$)
(declare-fun fun_app$ae (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun fun_app$af (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_fun$)
(declare-fun fun_app$ag (A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$)
(declare-fun fun_app$ah (A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_set_fun$)
(declare-fun fun_app$ai (A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun fun_app$aj (A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun fun_app$ak (A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun fun_app$al (A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$)
(declare-fun fun_app$am (A_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun$ A_llist$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)
(declare-fun fun_app$an (A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$ A_llist$) A_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun$)
(declare-fun fun_app$ao (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun fun_app$ap (A_llist_a_llist_bool_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ A_llist_a_llist_bool_fun_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun fun_app$aq (A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)
(declare-fun fun_app$ar (A_a_llist_a_llist_fun_fun_a_a_llist_a_llist_fun_fun_fun$ A_a_llist_a_llist_fun_fun$) A_a_llist_a_llist_fun_fun$)
(declare-fun fun_app$as (A_a_llist_bool_fun_fun$ A$) A_llist_bool_fun$)
(declare-fun fun_app$at (A_a_llist_a_llist_fun_fun_a_a_llist_bool_fun_fun_fun$ A_a_llist_a_llist_fun_fun$) A_a_llist_bool_fun_fun$)
(declare-fun fun_app$au (A_a_llist_a_fun_fun$ A$) A_llist_a_fun$)
(declare-fun fun_app$av (A_a_llist_a_llist_fun_fun_a_a_llist_a_fun_fun_fun$ A_a_llist_a_llist_fun_fun$) A_a_llist_a_fun_fun$)
(declare-fun fun_app$aw (A_a_llist_bool_fun_fun_a_a_llist_a_llist_fun_fun_fun$ A_a_llist_bool_fun_fun$) A_a_llist_a_llist_fun_fun$)
(declare-fun fun_app$ax (Bool_a_llist_fun$ Bool) A_llist$)
(declare-fun fun_app$ay (Bool_a_llist_a_llist_prod_fun$ Bool) A_llist_a_llist_prod$)
(declare-fun fun_app$az (Bool_bool_fun$ Bool) Bool)
(declare-fun fun_app$ba (A_a_llist_bool_fun_fun_a_a_llist_bool_fun_fun_fun$ A_a_llist_bool_fun_fun$) A_a_llist_bool_fun_fun$)
(declare-fun fun_app$bb (A_llist_a_llist_bool_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_fun$ A_llist_a_llist_bool_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$)
(declare-fun fun_app$bc (Bool_a_llist_a_llist_prod_set_fun$ Bool) A_llist_a_llist_prod_set$)
(declare-fun fun_app$bd (A_llist_a_llist_bool_fun_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$ A_llist_a_llist_bool_fun_fun$) A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun fun_app$be (Bool_a_llist_a_llist_prod_bool_fun_fun$ Bool) A_llist_a_llist_prod_bool_fun$)
(declare-fun fun_app$bf (A_a_llist_bool_fun_fun_a_a_llist_a_fun_fun_fun$ A_a_llist_bool_fun_fun$) A_a_llist_a_fun_fun$)
(declare-fun fun_app$bg (Bool_a_fun$ Bool) A$)
(declare-fun fun_app$bh (A_llist_a_llist_prod_set_a_llist_a_llist_prod_fun$ A_llist_a_llist_prod_set$) A_llist_a_llist_prod$)
(declare-fun fun_app$bi (A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun fun_app$bj (A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_a_llist_a_llist_bool_fun_fun_fun$ A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun fun_app$bk (A_llist_a_llist_prod_bool_fun_bool_fun$ A_llist_a_llist_prod_bool_fun$) Bool)
(declare-fun fun_app$bl (A_a_llist_a_fun_fun_a_a_llist_a_llist_fun_fun_fun$ A_a_llist_a_fun_fun$) A_a_llist_a_llist_fun_fun$)
(declare-fun fun_app$bm (A_a_llist_fun$ A$) A_llist$)
(declare-fun fun_app$bn (A_a_llist_a_fun_fun_a_a_llist_bool_fun_fun_fun$ A_a_llist_a_fun_fun$) A_a_llist_bool_fun_fun$)
(declare-fun fun_app$bo (A_a_llist_a_fun_fun_a_a_llist_a_fun_fun_fun$ A_a_llist_a_fun_fun$) A_a_llist_a_fun_fun$)
(declare-fun fun_app$bp (A_a_fun$ A$) A$)
(declare-fun fun_app$bq (A_llist_a_llist_prod_set_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$ A_llist_a_llist_prod_set$) A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun fun_app$br (A_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun$ A_llist$) A_llist_a_llist_a_llist_bool_fun_fun_fun$)
(declare-fun fun_app$bs (A_llist_a_llist_prod_set_a_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun_fun$ A_llist_a_llist_prod_set$) A_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun$)
(declare-fun fun_app$bt (A_llist_a_llist_a_llist_prod_set_fun_a_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_fun$ A_llist_a_llist_a_llist_prod_set_fun$) A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun fun_app$bu (A_llist_a_llist_a_llist_prod_set_fun_a_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun_fun$ A_llist_a_llist_a_llist_prod_set_fun$) A_llist_a_llist_a_llist_a_llist_bool_fun_fun_fun_fun$)
(declare-fun fun_app$bv (A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun$)
(declare-fun fun_app$bw (A_llist_a_llist_prod_llist_bool_fun$ A_llist_a_llist_prod_llist$) Bool)
(declare-fun fun_app$bx (A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_llist_bool_fun$)
(declare-fun fun_app$by (A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_bool_fun_fun$ A_llist_a_llist_prod_llist$) A_llist_a_llist_prod_llist_bool_fun$)
(declare-fun fun_app$bz (A_llist_a_set_fun$ A_llist$) A_set$)
(declare-fun fun_app$ca (A_llist_a_llist_a_set_fun_fun$ A_llist$) A_llist_a_set_fun$)
(declare-fun fun_app$cb (A_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun$ A_llist$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)
(declare-fun fun_app$cc (A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$ A_llist$) A_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun$)
(declare-fun fun_app$cd (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_set_fun$)
(declare-fun fun_app$ce (A_llist_a_llist_prod_a_set_fun$ A_llist_a_llist_prod$) A_set$)
(declare-fun fun_app$cf (A_llist_a_llist_prod_a_llist_a_llist_prod_a_set_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_set_fun$)
(declare-fun fun_app$cg (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)
(declare-fun fun_app$ch (A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$ A_llist_a_llist_prod$) A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun$)
(declare-fun fun_app$ci (A_a_llist_bool_fun_fun_a_llist_bool_fun_fun$ A_a_llist_bool_fun_fun$) A_llist_bool_fun$)
(declare-fun fun_app$cj (A_a_llist_a_llist_fun_fun_a_llist_a_llist_fun_fun$ A_a_llist_a_llist_fun_fun$) A_llist_a_llist_fun$)
(declare-fun fun_app$ck (A_a_llist_a_fun_fun_a_llist_a_fun_fun$ A_a_llist_a_fun_fun$) A_llist_a_fun$)
(declare-fun fun_app$cl (A_llist_a_llist_fun_a_llist_a_llist_fun_fun$ A_llist_a_llist_fun$) A_llist_a_llist_fun$)
(declare-fun fun_app$cm (A_llist_a_fun_a_llist_a_llist_fun_a_llist_a_llist_fun_fun_fun$ A_llist_a_fun$) A_llist_a_llist_fun_a_llist_a_llist_fun_fun$)
(declare-fun fun_app$cn (A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun_a_llist_a_llist_prod_llist_bool_fun_fun$ A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun$) A_llist_a_llist_prod_llist_bool_fun$)
(declare-fun fun_app$co (A_a_bool_fun_fun$ A$) A_bool_fun$)
(declare-fun fun_app$cp (A_llist_a_llist_prod_a_llist_fun$ A_llist_a_llist_prod$) A_llist$)
(declare-fun inv_image$ (A_llist_a_llist_prod_set$ A_llist_a_llist_fun$) A_llist_a_llist_prod_set$)
(declare-fun undefined$ () A_llist$)
(declare-fun case_llist$ (Bool) A_a_llist_bool_fun_fun_a_llist_bool_fun_fun$)
(declare-fun llist_all2$ (A_a_bool_fun_fun$) A_llist_a_llist_bool_fun_fun$)
(declare-fun pred_llist$ (A_bool_fun$) A_llist_bool_fun$)
(declare-fun undefined$a () A$)
(declare-fun case_llist$a (A_llist$) A_a_llist_a_llist_fun_fun_a_llist_a_llist_fun_fun$)
(declare-fun case_llist$b (A$) A_a_llist_a_fun_fun_a_llist_a_fun_fun$)
(declare-fun case_llist$c (Bool) A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun_a_llist_a_llist_prod_llist_bool_fun_fun$)
(declare-fun case_llist$d (A_llist_a_llist_prod_llist$ A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun_fun$ A_llist_a_llist_prod_llist$) A_llist_a_llist_prod_llist$)
(declare-fun case_llist$e (A_llist_a_llist_prod$ A_llist_a_llist_prod_a_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun_fun$ A_llist_a_llist_prod_llist$) A_llist_a_llist_prod$)
(declare-fun llist_all2$a (A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_bool_fun_fun$)
(declare-fun pred_llist$a (A_llist_a_llist_prod_bool_fun$) A_llist_a_llist_prod_llist_bool_fun$)
(declare-fun unfold_llist$ (A_llist_a_llist_prod_llist_bool_fun$ A_llist_a_llist_prod_llist_a_llist_a_llist_prod_fun$ A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_fun$ A_llist_a_llist_prod_llist$) A_llist_a_llist_prod_llist$)
(declare-fun unfold_llist$a (A_llist_bool_fun$) A_llist_a_fun_a_llist_a_llist_fun_a_llist_a_llist_fun_fun_fun$)
(declare-fun internal_split$ () A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$)
(declare-fun internal_split$a () A_llist_a_llist_a_llist_a_llist_prod_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$)
(declare-fun internal_split$b () A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun_fun$)
(declare-fun internal_split$c () A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun_a_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun_fun$)
(declare-fun internal_split$d () A_llist_a_llist_bool_fun_fun_a_llist_a_llist_prod_bool_fun_fun$)
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (! (= (fun_app$ uvd$ ?v0) (ltl$a ?v0)) :pattern ((fun_app$ uvd$ ?v0)))) :named a0))
(assert (! (forall ((?v0 A_llist$)) (! (= (fun_app$a uvf$ ?v0) (ltl$ ?v0)) :pattern ((fun_app$a uvf$ ?v0)))) :named a1))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (! (= (fun_app$b uvc$ ?v0) (lhd$a ?v0)) :pattern ((fun_app$b uvc$ ?v0)))) :named a2))
(assert (! (forall ((?v0 A_llist$)) (! (= (fun_app$c uve$ ?v0) (lhd$ ?v0)) :pattern ((fun_app$c uve$ ?v0)))) :named a3))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (! (= (fun_app$d (fun_app$e uvx$ ?v0) ?v1) (pair$ ?v0 ?v1)) :pattern ((fun_app$d (fun_app$e uvx$ ?v0) ?v1)))) :named a4))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$)) (! (= (fun_app$f (fun_app$g uvw$ ?v0) ?v1) (pair$b ?v0 ?v1)) :pattern ((fun_app$f (fun_app$g uvw$ ?v0) ?v1)))) :named a5))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod$)) (! (= (fun_app$h (uui$ ?v0) ?v1) (fun_app$i (member$ ?v1) ?v0)) :pattern ((fun_app$h (uui$ ?v0) ?v1)))) :named a6))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (! (= (fun_app$j (uuh$ ?v0) ?v1) (member$a ?v1 ?v0)) :pattern ((fun_app$j (uuh$ ?v0) ?v1)))) :named a7))
(assert (! (forall ((?v0 A_set$) (?v1 A$)) (! (= (fun_app$k (uug$ ?v0) ?v1) (member$b ?v1 ?v0)) :pattern ((fun_app$k (uug$ ?v0) ?v1)))) :named a8))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$d (fun_app$e (uwd$ ?v0) ?v1) ?v2) (fun_app$d (fun_app$e ?v0 ?v2) ?v1)) :pattern ((fun_app$d (fun_app$e (uwd$ ?v0) ?v1) ?v2)))) :named a9))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$l (fun_app$m (uwg$ ?v0) ?v1) ?v2) (fun_app$l (fun_app$m ?v0 ?v2) ?v1)) :pattern ((fun_app$l (fun_app$m (uwg$ ?v0) ?v1) ?v2)))) :named a10))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$n (fun_app$o (uwc$ ?v0) ?v1) ?v2) (fun_app$n (fun_app$o ?v0 ?v2) ?v1)) :pattern ((fun_app$n (fun_app$o (uwc$ ?v0) ?v1) ?v2)))) :named a11))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$p (fun_app$q (uwf$ ?v0) ?v1) ?v2) (fun_app$p (fun_app$q ?v0 ?v2) ?v1)) :pattern ((fun_app$p (fun_app$q (uwf$ ?v0) ?v1) ?v2)))) :named a12))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$r (uwe$ ?v0) ?v1) ?v2) (fun_app$h (fun_app$r ?v0 ?v2) ?v1)) :pattern ((fun_app$h (fun_app$r (uwe$ ?v0) ?v1) ?v2)))) :named a13))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$s (uwq$ ?v0) ?v1) ?v2) (or (fun_app$i (member$ ?v2) ?v0) (fun_app$i (member$ ?v2) ?v1))) :pattern ((fun_app$h (fun_app$s (uwq$ ?v0) ?v1) ?v2)))) :named a14))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_bool_fun$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$t (uws$ ?v0) ?v1) ?v2) (and (fun_app$i (member$ ?v2) ?v0) (fun_app$h ?v1 ?v2))) :pattern ((fun_app$h (fun_app$t (uws$ ?v0) ?v1) ?v2)))) :named a15))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$l (fun_app$m (uvz$ ?v0) ?v1) ?v2) (fun_app$i (member$ (pair$ ?v1 ?v2)) ?v0)) :pattern ((fun_app$l (fun_app$m (uvz$ ?v0) ?v1) ?v2)))) :named a16))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$r (uvy$ ?v0) ?v1) ?v2) (member$a (pair$b ?v1 ?v2) ?v0)) :pattern ((fun_app$h (fun_app$r (uvy$ ?v0) ?v1) ?v2)))) :named a17))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_prod_bool_fun$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$t (uwp$ ?v0) ?v1) ?v2) (or (fun_app$h ?v0 ?v2) (fun_app$h ?v1 ?v2))) :pattern ((fun_app$h (fun_app$t (uwp$ ?v0) ?v1) ?v2)))) :named a18))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_prod_bool_fun$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$t (uwr$ ?v0) ?v1) ?v2) (and (fun_app$h ?v0 ?v2) (fun_app$h ?v1 ?v2))) :pattern ((fun_app$h (fun_app$t (uwr$ ?v0) ?v1) ?v2)))) :named a19))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (! (= (fun_app$ (fun_app$u (uwh$ ?v0) ?v1) ?v2) (lCons$a ?v1 (fun_app$ (lappend$ ?v2) ?v0))) :pattern ((fun_app$ (fun_app$u (uwh$ ?v0) ?v1) ?v2)))) :named a20))
(assert (! (forall ((?v0 A_llist$) (?v1 A$) (?v2 A_llist$)) (! (= (fun_app$a (fun_app$v (uwi$ ?v0) ?v1) ?v2) (lCons$ ?v1 (fun_app$a (lappend$a ?v2) ?v0))) :pattern ((fun_app$a (fun_app$v (uwi$ ?v0) ?v1) ?v2)))) :named a21))
(assert (! (forall ((?v0 A_llist$) (?v1 A$) (?v2 A_llist$)) (! (= (fun_app$a (fun_app$v (uwj$ ?v0) ?v1) ?v2) (fun_app$a (lappend$a ?v2) ?v0)) :pattern ((fun_app$a (fun_app$v (uwj$ ?v0) ?v1) ?v2)))) :named a22))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$d (fun_app$e (uuc$ ?v0) ?v1) ?v2) (fun_app$w ?v0 (pair$ ?v1 ?v2))) :pattern ((fun_app$d (fun_app$e (uuc$ ?v0) ?v1) ?v2)))) :named a23))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$l (fun_app$m (uuf$ ?v0) ?v1) ?v2) (fun_app$h ?v0 (pair$ ?v1 ?v2))) :pattern ((fun_app$l (fun_app$m (uuf$ ?v0) ?v1) ?v2)))) :named a24))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_set_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$n (fun_app$o (uub$ ?v0) ?v1) ?v2) (fun_app$x ?v0 (pair$ ?v1 ?v2))) :pattern ((fun_app$n (fun_app$o (uub$ ?v0) ?v1) ?v2)))) :named a25))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$p (fun_app$q (uue$ ?v0) ?v1) ?v2) (fun_app$r ?v0 (pair$ ?v1 ?v2))) :pattern ((fun_app$p (fun_app$q (uue$ ?v0) ?v1) ?v2)))) :named a26))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$r (uud$ ?v0) ?v1) ?v2) (fun_app$j ?v0 (pair$b ?v1 ?v2))) :pattern ((fun_app$h (fun_app$r (uud$ ?v0) ?v1) ?v2)))) :named a27))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$y (uvg$ ?v0) ?v1) ?v2) ?v3) (fun_app$h (fun_app$p (fun_app$q ?v0 ?v2) ?v3) ?v1)) :pattern ((fun_app$l (fun_app$m (fun_app$y (uvg$ ?v0) ?v1) ?v2) ?v3)))) :named a28))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$z (uwk$ ?v0) ?v1) ?v2) ?v3) (fun_app$i (member$ (pair$ (fun_app$a ?v1 ?v2) (fun_app$a ?v1 ?v3))) ?v0)) :pattern ((fun_app$l (fun_app$m (fun_app$z (uwk$ ?v0) ?v1) ?v2) ?v3)))) :named a29))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$aa (uwt$ ?v0) ?v1) ?v2) ?v3) (and (= ?v0 ?v2) (= ?v1 ?v3))) :pattern ((fun_app$l (fun_app$m (fun_app$aa (uwt$ ?v0) ?v1) ?v2) ?v3)))) :named a30))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$d (fun_app$e (uuv$ ?v0 ?v1) ?v2) ?v3) (fun_app$w (fun_app$ab uncurry$ ?v0) (fun_app$d (fun_app$e ?v1 ?v2) ?v3))) :pattern ((fun_app$d (fun_app$e (uuv$ ?v0 ?v1) ?v2) ?v3)))) :named a31))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$ac (uuz$ ?v0) ?v1) ?v2) ?v3) (fun_app$h (fun_app$ad uncurry$a ?v0) (fun_app$d (fun_app$e ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$m (fun_app$ac (uuz$ ?v0) ?v1) ?v2) ?v3)))) :named a32))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$r (fun_app$ae (uut$ ?v0) ?v1) ?v2) ?v3) (fun_app$h (fun_app$ad uncurry$a ?v0) (fun_app$w (fun_app$af ?v1 ?v2) ?v3))) :pattern ((fun_app$h (fun_app$r (fun_app$ae (uut$ ?v0) ?v1) ?v2) ?v3)))) :named a33))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$n (fun_app$o (fun_app$ag (uuu$ ?v0) ?v1) ?v2) ?v3) (fun_app$x (fun_app$ah uncurry$b ?v0) (fun_app$d (fun_app$e ?v1 ?v2) ?v3))) :pattern ((fun_app$n (fun_app$o (fun_app$ag (uuu$ ?v0) ?v1) ?v2) ?v3)))) :named a34))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$p (fun_app$q (fun_app$ai (uuy$ ?v0) ?v1) ?v2) ?v3) (fun_app$r (fun_app$aj uncurry$c ?v0) (fun_app$d (fun_app$e ?v1 ?v2) ?v3))) :pattern ((fun_app$p (fun_app$q (fun_app$ai (uuy$ ?v0) ?v1) ?v2) ?v3)))) :named a35))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$ak (uuw$ ?v0) ?v1) ?v2) ?v3) (fun_app$j (fun_app$al uncurry$d ?v0) (fun_app$am (fun_app$an ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$m (fun_app$ak (uuw$ ?v0) ?v1) ?v2) ?v3)))) :named a36))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$r (fun_app$ao (uux$ ?v0) ?v1) ?v2) ?v3) (fun_app$j (fun_app$al uncurry$d ?v0) (fun_app$f (fun_app$g ?v1 ?v2) ?v3))) :pattern ((fun_app$h (fun_app$r (fun_app$ao (uux$ ?v0) ?v1) ?v2) ?v3)))) :named a37))
(assert (! (forall ((?v0 Bool) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$ap (uua$ ?v0) ?v1) ?v2) ?v3) (and ?v0 (fun_app$l (fun_app$m ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$m (fun_app$ap (uua$ ?v0) ?v1) ?v2) ?v3)))) :named a38))
(assert (! (forall ((?v0 Bool) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$r (fun_app$aq (uu$ ?v0) ?v1) ?v2) ?v3) (and ?v0 (fun_app$h (fun_app$r ?v1 ?v2) ?v3))) :pattern ((fun_app$h (fun_app$r (fun_app$aq (uu$ ?v0) ?v1) ?v2) ?v3)))) :named a39))
(assert (! (forall ((?v0 A_llist_a_llist_fun$) (?v1 A_a_llist_a_llist_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$a (fun_app$v (fun_app$ar (uvl$ ?v0) ?v1) ?v2) ?v3) (fun_app$a ?v0 (fun_app$a (fun_app$v ?v1 ?v2) ?v3))) :pattern ((fun_app$a (fun_app$v (fun_app$ar (uvl$ ?v0) ?v1) ?v2) ?v3)))) :named a40))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_a_llist_a_llist_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$as (fun_app$at (uvk$ ?v0) ?v1) ?v2) ?v3) (fun_app$l ?v0 (fun_app$a (fun_app$v ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$as (fun_app$at (uvk$ ?v0) ?v1) ?v2) ?v3)))) :named a41))
(assert (! (forall ((?v0 A_llist_a_fun$) (?v1 A_a_llist_a_llist_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$c (fun_app$au (fun_app$av (uvm$ ?v0) ?v1) ?v2) ?v3) (fun_app$c ?v0 (fun_app$a (fun_app$v ?v1 ?v2) ?v3))) :pattern ((fun_app$c (fun_app$au (fun_app$av (uvm$ ?v0) ?v1) ?v2) ?v3)))) :named a42))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$d (fun_app$e (uur$ ?v0 ?v1) ?v2) ?v3) (fun_app$w ?v0 (fun_app$d (fun_app$e ?v1 ?v2) ?v3))) :pattern ((fun_app$d (fun_app$e (uur$ ?v0 ?v1) ?v2) ?v3)))) :named a43))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$ac (uul$ ?v0) ?v1) ?v2) ?v3) (fun_app$h ?v0 (fun_app$d (fun_app$e ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$m (fun_app$ac (uul$ ?v0) ?v1) ?v2) ?v3)))) :named a44))
(assert (! (forall ((?v0 Bool_a_llist_fun$) (?v1 A_a_llist_bool_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$a (fun_app$v (fun_app$aw (uvi$ ?v0) ?v1) ?v2) ?v3) (fun_app$ax ?v0 (fun_app$l (fun_app$as ?v1 ?v2) ?v3))) :pattern ((fun_app$a (fun_app$v (fun_app$aw (uvi$ ?v0) ?v1) ?v2) ?v3)))) :named a45))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$d (fun_app$e (uuk$ ?v0 ?v1) ?v2) ?v3) (fun_app$ay ?v0 (fun_app$l (fun_app$m ?v1 ?v2) ?v3))) :pattern ((fun_app$d (fun_app$e (uuk$ ?v0 ?v1) ?v2) ?v3)))) :named a46))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$ap (uuj$ ?v0) ?v1) ?v2) ?v3) (fun_app$az ?v0 (fun_app$l (fun_app$m ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$m (fun_app$ap (uuj$ ?v0) ?v1) ?v2) ?v3)))) :named a47))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$r (fun_app$aq (uup$ ?v0) ?v1) ?v2) ?v3) (fun_app$az ?v0 (fun_app$h (fun_app$r ?v1 ?v2) ?v3))) :pattern ((fun_app$h (fun_app$r (fun_app$aq (uup$ ?v0) ?v1) ?v2) ?v3)))) :named a48))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_a_llist_bool_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$as (fun_app$ba (uvh$ ?v0) ?v1) ?v2) ?v3) (fun_app$az ?v0 (fun_app$l (fun_app$as ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$as (fun_app$ba (uvh$ ?v0) ?v1) ?v2) ?v3)))) :named a49))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_set_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$n (fun_app$o (fun_app$bb (uum$ ?v0) ?v1) ?v2) ?v3) (fun_app$bc ?v0 (fun_app$l (fun_app$m ?v1 ?v2) ?v3))) :pattern ((fun_app$n (fun_app$o (fun_app$bb (uum$ ?v0) ?v1) ?v2) ?v3)))) :named a50))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$p (fun_app$q (fun_app$bd (uuo$ ?v0) ?v1) ?v2) ?v3) (fun_app$be ?v0 (fun_app$l (fun_app$m ?v1 ?v2) ?v3))) :pattern ((fun_app$p (fun_app$q (fun_app$bd (uuo$ ?v0) ?v1) ?v2) ?v3)))) :named a51))
(assert (! (forall ((?v0 Bool_a_fun$) (?v1 A_a_llist_bool_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$c (fun_app$au (fun_app$bf (uvj$ ?v0) ?v1) ?v2) ?v3) (fun_app$bg ?v0 (fun_app$l (fun_app$as ?v1 ?v2) ?v3))) :pattern ((fun_app$c (fun_app$au (fun_app$bf (uvj$ ?v0) ?v1) ?v2) ?v3)))) :named a52))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$d (fun_app$e (uus$ ?v0 ?v1) ?v2) ?v3) (fun_app$bh ?v0 (fun_app$n (fun_app$o ?v1 ?v2) ?v3))) :pattern ((fun_app$d (fun_app$e (uus$ ?v0 ?v1) ?v2) ?v3)))) :named a53))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$bi (uun$ ?v0) ?v1) ?v2) ?v3) (fun_app$i ?v0 (fun_app$n (fun_app$o ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$m (fun_app$bi (uun$ ?v0) ?v1) ?v2) ?v3)))) :named a54))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$bj (uuq$ ?v0) ?v1) ?v2) ?v3) (fun_app$bk ?v0 (fun_app$p (fun_app$q ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$m (fun_app$bj (uuq$ ?v0) ?v1) ?v2) ?v3)))) :named a55))
(assert (! (forall ((?v0 A_a_llist_fun$) (?v1 A_a_llist_a_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$a (fun_app$v (fun_app$bl (uvo$ ?v0) ?v1) ?v2) ?v3) (fun_app$bm ?v0 (fun_app$c (fun_app$au ?v1 ?v2) ?v3))) :pattern ((fun_app$a (fun_app$v (fun_app$bl (uvo$ ?v0) ?v1) ?v2) ?v3)))) :named a56))
(assert (! (forall ((?v0 A_bool_fun$) (?v1 A_a_llist_a_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$as (fun_app$bn (uvn$ ?v0) ?v1) ?v2) ?v3) (fun_app$k ?v0 (fun_app$c (fun_app$au ?v1 ?v2) ?v3))) :pattern ((fun_app$l (fun_app$as (fun_app$bn (uvn$ ?v0) ?v1) ?v2) ?v3)))) :named a57))
(assert (! (forall ((?v0 A_a_fun$) (?v1 A_a_llist_a_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$c (fun_app$au (fun_app$bo (uvp$ ?v0) ?v1) ?v2) ?v3) (fun_app$bp ?v0 (fun_app$c (fun_app$au ?v1 ?v2) ?v3))) :pattern ((fun_app$c (fun_app$au (fun_app$bo (uvp$ ?v0) ?v1) ?v2) ?v3)))) :named a58))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$p (fun_app$q (fun_app$bq (uwo$ ?v0) ?v1) ?v2) ?v3) (fun_app$ad uncurry$a (fun_app$aa (fun_app$br (fun_app$bs (uwn$ ?v0) ?v1) ?v2) ?v3))) :pattern ((fun_app$p (fun_app$q (fun_app$bq (uwo$ ?v0) ?v1) ?v2) ?v3)))) :named a59))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist_a_llist_a_llist_prod_set_fun$) (?v2 A_llist$) (?v3 A_llist$)) (! (= (fun_app$p (fun_app$q (fun_app$bt (uwm$ ?v0) ?v1) ?v2) ?v3) (fun_app$ad uncurry$a (fun_app$aa (fun_app$br (fun_app$bu (uwl$ ?v0) ?v1) ?v2) ?v3))) :pattern ((fun_app$p (fun_app$q (fun_app$bt (uwm$ ?v0) ?v1) ?v2) ?v3)))) :named a60))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$) (?v2 A_llist$) (?v3 A_llist$) (?v4 A_llist$) (?v5 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$aa (fun_app$br (fun_app$bs (uwn$ ?v0) ?v1) ?v2) ?v3) ?v4) ?v5) (or (fun_app$i (member$ (pair$ ?v2 ?v4)) ?v0) (and (= ?v2 ?v4) (fun_app$i (member$ (pair$ ?v3 ?v5)) ?v1)))) :pattern ((fun_app$l (fun_app$m (fun_app$aa (fun_app$br (fun_app$bs (uwn$ ?v0) ?v1) ?v2) ?v3) ?v4) ?v5)))) :named a61))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist_a_llist_a_llist_prod_set_fun$) (?v2 A_llist$) (?v3 A_llist$) (?v4 A_llist$) (?v5 A_llist$)) (! (= (fun_app$l (fun_app$m (fun_app$aa (fun_app$br (fun_app$bu (uwl$ ?v0) ?v1) ?v2) ?v3) ?v4) ?v5) (and (= ?v2 ?v4) (and (fun_app$l ?v0 ?v4) (fun_app$i (member$ (pair$ ?v3 ?v5)) (fun_app$n ?v1 ?v4))))) :pattern ((fun_app$l (fun_app$m (fun_app$aa (fun_app$br (fun_app$bu (uwl$ ?v0) ?v1) ?v2) ?v3) ?v4) ?v5)))) :named a62))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (! (= (fun_app$b (fun_app$bv uwa$ ?v0) ?v1) ?v0) :pattern ((fun_app$b (fun_app$bv uwa$ ?v0) ?v1)))) :named a63))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (! (= (fun_app$c (fun_app$au uwb$ ?v0) ?v1) ?v0) :pattern ((fun_app$c (fun_app$au uwb$ ?v0) ?v1)))) :named a64))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (! (= (fun_app$ (fun_app$u uvu$ ?v0) ?v1) ?v1) :pattern ((fun_app$ (fun_app$u uvu$ ?v0) ?v1)))) :named a65))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (! (= (fun_app$a (fun_app$v uvv$ ?v0) ?v1) ?v1) :pattern ((fun_app$a (fun_app$v uvv$ ?v0) ?v1)))) :named a66))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (! (= (fun_app$bw (fun_app$bx uvs$ ?v0) ?v1) false) :pattern ((fun_app$bw (fun_app$bx uvs$ ?v0) ?v1)))) :named a67))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (! (= (fun_app$l (fun_app$as uvt$ ?v0) ?v1) false) :pattern ((fun_app$l (fun_app$as uvt$ ?v0) ?v1)))) :named a68))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (! (= (fun_app$l (fun_app$m uvb$ ?v0) ?v1) true) :pattern ((fun_app$l (fun_app$m uvb$ ?v0) ?v1)))) :named a69))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (! (= (fun_app$bw (fun_app$bx uvq$ ?v0) ?v1) true) :pattern ((fun_app$bw (fun_app$bx uvq$ ?v0) ?v1)))) :named a70))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$)) (! (= (fun_app$h (fun_app$r uva$ ?v0) ?v1) true) :pattern ((fun_app$h (fun_app$r uva$ ?v0) ?v1)))) :named a71))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (! (= (fun_app$l (fun_app$as uvr$ ?v0) ?v1) true) :pattern ((fun_app$l (fun_app$as uvr$ ?v0) ?v1)))) :named a72))
(assert (! (not (fun_app$l (lprefix$ xs$) ys$)) :named a73))
(assert (! (fun_app$l (fun_app$m p$ xs$) ys$) :named a74))
(assert (! (fun_app$i (member$ (pair$ xs$ ys$)) (collect$ (fun_app$ad uncurry$a p$))) :named a75))
(assert (! (forall ((?v0 A_llist$)) (fun_app$l (lprefix$ lNil$) ?v0)) :named a76))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod$)) (=> (fun_app$bw (lprefix$a ?v0) ?v1) (fun_app$bw (lprefix$a (lCons$a ?v2 ?v0)) (lCons$a ?v2 ?v1)))) :named a77))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A$)) (=> (fun_app$l (lprefix$ ?v0) ?v1) (fun_app$l (lprefix$ (lCons$ ?v2 ?v0)) (lCons$ ?v2 ?v1)))) :named a78))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (fun_app$l (fun_app$m p$ ?v0) ?v1) (and (=> (fun_app$l lnull$ ?v1) (fun_app$l lnull$ ?v0)) (=> (and (not (fun_app$l lnull$ ?v0)) (not (fun_app$l lnull$ ?v1))) (and (= (lhd$ ?v0) (lhd$ ?v1)) (or (fun_app$l (fun_app$m p$ (ltl$ ?v0)) (ltl$ ?v1)) (fun_app$l (lprefix$ (ltl$ ?v0)) (ltl$ ?v1)))))))) :named a79))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (= (fun_app$bw (lprefix$a ?v0) ?v1) (or (exists ((?v2 A_llist_a_llist_prod_llist$)) (and (= ?v0 lNil$a) (= ?v1 ?v2))) (exists ((?v2 A_llist_a_llist_prod_llist$) (?v3 A_llist_a_llist_prod_llist$) (?v4 A_llist_a_llist_prod$)) (and (= ?v0 (lCons$a ?v4 ?v2)) (and (= ?v1 (lCons$a ?v4 ?v3)) (fun_app$bw (lprefix$a ?v2) ?v3))))))) :named a80))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (fun_app$l (lprefix$ ?v0) ?v1) (or (exists ((?v2 A_llist$)) (and (= ?v0 lNil$) (= ?v1 ?v2))) (exists ((?v2 A_llist$) (?v3 A_llist$) (?v4 A$)) (and (= ?v0 (lCons$ ?v4 ?v2)) (and (= ?v1 (lCons$ ?v4 ?v3)) (fun_app$l (lprefix$ ?v2) ?v3))))))) :named a81))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$bw (lprefix$a ?v0) ?v1) (and (forall ((?v2 A_llist_a_llist_prod_llist$)) (=> (and (= ?v0 lNil$a) (= ?v1 ?v2)) false)) (forall ((?v2 A_llist_a_llist_prod_llist$) (?v3 A_llist_a_llist_prod_llist$) (?v4 A_llist_a_llist_prod$)) (=> (and (= ?v0 (lCons$a ?v4 ?v2)) (and (= ?v1 (lCons$a ?v4 ?v3)) (fun_app$bw (lprefix$a ?v2) ?v3))) false)))) false)) :named a82))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (and (fun_app$l (lprefix$ ?v0) ?v1) (and (forall ((?v2 A_llist$)) (=> (and (= ?v0 lNil$) (= ?v1 ?v2)) false)) (forall ((?v2 A_llist$) (?v3 A_llist$) (?v4 A$)) (=> (and (= ?v0 (lCons$ ?v4 ?v2)) (and (= ?v1 (lCons$ ?v4 ?v3)) (fun_app$l (lprefix$ ?v2) ?v3))) false)))) false)) :named a83))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$bw (fun_app$by ?v0 ?v1) ?v2) (forall ((?v3 A_llist_a_llist_prod_llist$) (?v4 A_llist_a_llist_prod_llist$)) (=> (fun_app$bw (fun_app$by ?v0 ?v3) ?v4) (or (exists ((?v5 A_llist_a_llist_prod_llist$)) (and (= ?v3 lNil$a) (= ?v4 ?v5))) (exists ((?v5 A_llist_a_llist_prod_llist$) (?v6 A_llist_a_llist_prod_llist$) (?v7 A_llist_a_llist_prod$)) (and (= ?v3 (lCons$a ?v7 ?v5)) (and (= ?v4 (lCons$a ?v7 ?v6)) (or (fun_app$bw (fun_app$by ?v0 ?v5) ?v6) (fun_app$bw (lprefix$a ?v5) ?v6))))))))) (fun_app$bw (lprefix$a ?v1) ?v2))) :named a84))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (=> (and (fun_app$l (fun_app$m ?v0 ?v1) ?v2) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (fun_app$l (fun_app$m ?v0 ?v3) ?v4) (or (exists ((?v5 A_llist$)) (and (= ?v3 lNil$) (= ?v4 ?v5))) (exists ((?v5 A_llist$) (?v6 A_llist$) (?v7 A$)) (and (= ?v3 (lCons$ ?v7 ?v5)) (and (= ?v4 (lCons$ ?v7 ?v6)) (or (fun_app$l (fun_app$m ?v0 ?v5) ?v6) (fun_app$l (lprefix$ ?v5) ?v6))))))))) (fun_app$l (lprefix$ ?v1) ?v2))) :named a85))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_prod_set$)) (=> (and (member$c (pair$a ?v0 ?v1) ?v2) (forall ((?v3 A_llist_a_llist_prod_llist$) (?v4 A_llist_a_llist_prod_llist$)) (=> (member$c (pair$a ?v3 ?v4) ?v2) (or (fun_app$bw lnull$a ?v3) (exists ((?v5 A_llist_a_llist_prod$) (?v6 A_llist_a_llist_prod_llist$) (?v7 A_llist_a_llist_prod_llist$)) (and (= ?v3 (lCons$a ?v5 ?v6)) (and (= ?v4 (lCons$a ?v5 ?v7)) (or (member$c (pair$a ?v6 ?v7) ?v2) (fun_app$bw (lprefix$a ?v6) ?v7))))))))) (fun_app$bw (lprefix$a ?v0) ?v1))) :named a86))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist_a_llist_prod_set$)) (=> (and (fun_app$i (member$ (pair$ ?v0 ?v1)) ?v2) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (fun_app$i (member$ (pair$ ?v3 ?v4)) ?v2) (or (fun_app$l lnull$ ?v3) (exists ((?v5 A$) (?v6 A_llist$) (?v7 A_llist$)) (and (= ?v3 (lCons$ ?v5 ?v6)) (and (= ?v4 (lCons$ ?v5 ?v7)) (or (fun_app$i (member$ (pair$ ?v6 ?v7)) ?v2) (fun_app$l (lprefix$ ?v6) ?v7))))))))) (fun_app$l (lprefix$ ?v0) ?v1))) :named a87))
(assert (! (forall ((?v0 A$) (?v1 A_llist$) (?v2 A$) (?v3 A_llist$)) (= (= (lCons$ ?v0 ?v1) (lCons$ ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a88))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod_llist$)) (= (= (lCons$a ?v0 ?v1) (lCons$a ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a89))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (=> (not (fun_app$bw lnull$a ?v0)) (= (lCons$a (lhd$a ?v0) (ltl$a ?v0)) ?v0))) :named a90))
(assert (! (forall ((?v0 A_llist$)) (=> (not (fun_app$l lnull$ ?v0)) (= (lCons$ (lhd$ ?v0) (ltl$ ?v0)) ?v0))) :named a91))
(assert (! (forall ((?v0 A_llist$)) (= (not (= ?v0 lNil$)) (exists ((?v1 A$) (?v2 A_llist$)) (= ?v0 (lCons$ ?v1 ?v2))))) :named a92))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (= (not (= ?v0 lNil$a)) (exists ((?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (= ?v0 (lCons$a ?v1 ?v2))))) :named a93))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (= (not (fun_app$bw lnull$a ?v0)) (exists ((?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (= ?v0 (lCons$a ?v1 ?v2))))) :named a94))
(assert (! (forall ((?v0 A_llist$)) (= (not (fun_app$l lnull$ ?v0)) (exists ((?v1 A$) (?v2 A_llist$)) (= ?v0 (lCons$ ?v1 ?v2))))) :named a95))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (! (= (fun_app$bw lnull$a ?v0) (= ?v0 lNil$a)) :pattern ((fun_app$bw lnull$a ?v0)))) :named a96))
(assert (! (forall ((?v0 A_llist$)) (! (= (fun_app$l lnull$ ?v0) (= ?v0 lNil$)) :pattern ((fun_app$l lnull$ ?v0)))) :named a97))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (! (= (lhd$a (lCons$a ?v0 ?v1)) ?v0) :pattern ((lCons$a ?v0 ?v1)))) :named a98))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (! (= (lhd$ (lCons$ ?v0 ?v1)) ?v0) :pattern ((lCons$ ?v0 ?v1)))) :named a99))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (! (= (ltl$a (lCons$a ?v0 ?v1)) ?v1) :pattern ((lCons$a ?v0 ?v1)))) :named a100))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (! (= (ltl$ (lCons$ ?v0 ?v1)) ?v1) :pattern ((lCons$ ?v0 ?v1)))) :named a101))
(assert (! (= (ltl$a lNil$a) lNil$a) :named a102))
(assert (! (= (ltl$ lNil$) lNil$) :named a103))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (=> (and (=> (= ?v0 lNil$a) false) (=> (= ?v0 (lCons$a (lhd$a ?v0) (ltl$a ?v0))) false)) false)) :named a104))
(assert (! (forall ((?v0 A_llist$)) (=> (and (=> (= ?v0 lNil$) false) (=> (= ?v0 (lCons$ (lhd$ ?v0) (ltl$ ?v0))) false)) false)) :named a105))
(assert (! (forall ((?v0 A_llist$)) (=> (and (=> (= ?v0 lNil$) false) (forall ((?v1 A$) (?v2 A_llist$)) (=> (= ?v0 (lCons$ ?v1 ?v2)) false))) false)) :named a106))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (=> (and (=> (= ?v0 lNil$a) false) (forall ((?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (=> (= ?v0 (lCons$a ?v1 ?v2)) false))) false)) :named a107))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (=> (and (=> (and (fun_app$bw lnull$a ?v0) (fun_app$bw lnull$a ?v1)) false) (=> (or (not (fun_app$bw lnull$a ?v0)) (not (fun_app$bw lnull$a ?v1))) false)) false)) :named a108))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (and (=> (and (fun_app$l lnull$ ?v0) (fun_app$l lnull$ ?v1)) false) (=> (or (not (fun_app$l lnull$ ?v0)) (not (fun_app$l lnull$ ?v1))) false)) false)) :named a109))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (=> (and (=> (fun_app$bw lnull$a ?v0) false) (=> (not (fun_app$bw lnull$a ?v0)) false)) false)) :named a110))
(assert (! (forall ((?v0 A_llist$)) (=> (and (=> (fun_app$l lnull$ ?v0) false) (=> (not (fun_app$l lnull$ ?v0)) false)) false)) :named a111))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (=> (and (= (fun_app$bw lnull$a ?v0) (fun_app$bw lnull$a ?v1)) (=> (and (not (fun_app$bw lnull$a ?v0)) (not (fun_app$bw lnull$a ?v1))) (and (= (lhd$a ?v0) (lhd$a ?v1)) (= (ltl$a ?v0) (ltl$a ?v1))))) (= ?v0 ?v1))) :named a112))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (and (= (fun_app$l lnull$ ?v0) (fun_app$l lnull$ ?v1)) (=> (and (not (fun_app$l lnull$ ?v0)) (not (fun_app$l lnull$ ?v1))) (and (= (lhd$ ?v0) (lhd$ ?v1)) (= (ltl$ ?v0) (ltl$ ?v1))))) (= ?v0 ?v1))) :named a113))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (=> (= ?v0 (lCons$a ?v1 ?v2)) (and (not (= ?v0 lNil$a)) (and (= (lhd$a ?v0) ?v1) (= (ltl$a ?v0) ?v2))))) :named a114))
(assert (! (forall ((?v0 A_llist$) (?v1 A$) (?v2 A_llist$)) (=> (= ?v0 (lCons$ ?v1 ?v2)) (and (not (= ?v0 lNil$)) (and (= (lhd$ ?v0) ?v1) (= (ltl$ ?v0) ?v2))))) :named a115))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (=> (= ?v0 (lCons$a ?v1 ?v2)) (not (fun_app$bw lnull$a ?v0)))) :named a116))
(assert (! (forall ((?v0 A_llist$) (?v1 A$) (?v2 A_llist$)) (=> (= ?v0 (lCons$ ?v1 ?v2)) (not (fun_app$l lnull$ ?v0)))) :named a117))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (=> (= ?v0 lNil$a) (fun_app$bw lnull$a ?v0))) :named a118))
(assert (! (forall ((?v0 A_llist$)) (=> (= ?v0 lNil$) (fun_app$l lnull$ ?v0))) :named a119))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (=> (fun_app$bw lnull$a ?v0) (= ?v0 lNil$a))) :named a120))
(assert (! (forall ((?v0 A_llist$)) (=> (fun_app$l lnull$ ?v0) (= ?v0 lNil$))) :named a121))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (=> (fun_app$bw lnull$a ?v0) (fun_app$bw lnull$a (ltl$a ?v0)))) :named a122))
(assert (! (forall ((?v0 A_llist$)) (=> (fun_app$l lnull$ ?v0) (fun_app$l lnull$ (ltl$ ?v0)))) :named a123))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$bw (fun_app$by ?v0 ?v1) ?v2) (forall ((?v3 A_llist_a_llist_prod_llist$) (?v4 A_llist_a_llist_prod_llist$)) (=> (fun_app$bw (fun_app$by ?v0 ?v3) ?v4) (and (= (fun_app$bw lnull$a ?v3) (fun_app$bw lnull$a ?v4)) (=> (and (not (fun_app$bw lnull$a ?v3)) (not (fun_app$bw lnull$a ?v4))) (and (= (lhd$a ?v3) (lhd$a ?v4)) (or (fun_app$bw (fun_app$by ?v0 (ltl$a ?v3)) (ltl$a ?v4)) (= (ltl$a ?v3) (ltl$a ?v4))))))))) (= ?v1 ?v2))) :named a124))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (=> (and (fun_app$l (fun_app$m ?v0 ?v1) ?v2) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (fun_app$l (fun_app$m ?v0 ?v3) ?v4) (and (= (fun_app$l lnull$ ?v3) (fun_app$l lnull$ ?v4)) (=> (and (not (fun_app$l lnull$ ?v3)) (not (fun_app$l lnull$ ?v4))) (and (= (lhd$ ?v3) (lhd$ ?v4)) (or (fun_app$l (fun_app$m ?v0 (ltl$ ?v3)) (ltl$ ?v4)) (= (ltl$ ?v3) (ltl$ ?v4))))))))) (= ?v1 ?v2))) :named a125))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist_a_llist_a_llist_prod_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$bw (fun_app$by ?v0 ?v1) ?v2) (forall ((?v3 A_llist_a_llist_prod_llist$) (?v4 A_llist_a_llist_prod_llist$)) (=> (fun_app$bw (fun_app$by ?v0 ?v3) ?v4) (and (= (fun_app$bw lnull$a ?v3) (fun_app$bw lnull$a ?v4)) (=> (and (not (fun_app$bw lnull$a ?v3)) (not (fun_app$bw lnull$a ?v4))) (and (= (lhd$a ?v3) (lhd$a ?v4)) (fun_app$bw (fun_app$by ?v0 (ltl$a ?v3)) (ltl$a ?v4)))))))) (= ?v1 ?v2))) :named a126))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (=> (and (fun_app$l (fun_app$m ?v0 ?v1) ?v2) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (fun_app$l (fun_app$m ?v0 ?v3) ?v4) (and (= (fun_app$l lnull$ ?v3) (fun_app$l lnull$ ?v4)) (=> (and (not (fun_app$l lnull$ ?v3)) (not (fun_app$l lnull$ ?v4))) (and (= (lhd$ ?v3) (lhd$ ?v4)) (fun_app$l (fun_app$m ?v0 (ltl$ ?v3)) (ltl$ ?v4)))))))) (= ?v1 ?v2))) :named a127))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (not (= lNil$ (lCons$ ?v0 ?v1)))) :named a128))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (not (= lNil$a (lCons$a ?v0 ?v1)))) :named a129))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (not (fun_app$bw lnull$a (lCons$a ?v0 ?v1)))) :named a130))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (not (fun_app$l lnull$ (lCons$ ?v0 ?v1)))) :named a131))
(assert (! (fun_app$bw lnull$a lNil$a) :named a132))
(assert (! (fun_app$l lnull$ lNil$) :named a133))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)) (=> (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (=> (= ?v0 (pair$b ?v2 ?v3)) (fun_app$h (fun_app$r ?v1 ?v2) ?v3))) (fun_app$j (fun_app$al uncurry$d ?v1) ?v0))) :named a134))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_bool_fun_fun$)) (=> (forall ((?v2 A_llist$) (?v3 A_llist$)) (=> (= ?v0 (pair$ ?v2 ?v3)) (fun_app$l (fun_app$m ?v1 ?v2) ?v3))) (fun_app$h (fun_app$ad uncurry$a ?v1) ?v0))) :named a135))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (=> (fun_app$h (fun_app$r ?v0 ?v1) ?v2) (fun_app$j (fun_app$al uncurry$d ?v0) (pair$b ?v1 ?v2)))) :named a136))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (=> (fun_app$l (fun_app$m ?v0 ?v1) ?v2) (fun_app$h (fun_app$ad uncurry$a ?v0) (pair$ ?v1 ?v2)))) :named a137))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$x (fun_app$ah uncurry$b ?v0) (pair$ ?v1 ?v2)) (fun_app$n (fun_app$o ?v0 ?v1) ?v2)) :pattern ((fun_app$x (fun_app$ah uncurry$b ?v0) (pair$ ?v1 ?v2))))) :named a138))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$w (fun_app$ab uncurry$ ?v0) (pair$ ?v1 ?v2)) (fun_app$d (fun_app$e ?v0 ?v1) ?v2)) :pattern ((fun_app$w (fun_app$ab uncurry$ ?v0) (pair$ ?v1 ?v2))))) :named a139))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$j (fun_app$al uncurry$d ?v0) (pair$b ?v1 ?v2)) (fun_app$h (fun_app$r ?v0 ?v1) ?v2)) :pattern ((fun_app$j (fun_app$al uncurry$d ?v0) (pair$b ?v1 ?v2))))) :named a140))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$r (fun_app$aj uncurry$c ?v0) (pair$ ?v1 ?v2)) (fun_app$p (fun_app$q ?v0 ?v1) ?v2)) :pattern ((fun_app$r (fun_app$aj uncurry$c ?v0) (pair$ ?v1 ?v2))))) :named a141))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$h (fun_app$ad uncurry$a ?v0) (pair$ ?v1 ?v2)) (fun_app$l (fun_app$m ?v0 ?v1) ?v2)) :pattern ((fun_app$h (fun_app$ad uncurry$a ?v0) (pair$ ?v1 ?v2))))) :named a142))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (=> (fun_app$h (fun_app$r ?v0 ?v1) ?v2) (fun_app$j (fun_app$al uncurry$d ?v0) (pair$b ?v1 ?v2)))) :named a143))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (=> (fun_app$l (fun_app$m ?v0 ?v1) ?v2) (fun_app$h (fun_app$ad uncurry$a ?v0) (pair$ ?v1 ?v2)))) :named a144))
(assert (! (forall ((?v0 Bool) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (= (fun_app$j (fun_app$al uncurry$d (fun_app$aq (uu$ ?v0) ?v1)) ?v2) (and ?v0 (fun_app$j (fun_app$al uncurry$d ?v1) ?v2)))) :named a145))
(assert (! (forall ((?v0 Bool) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$h (fun_app$ad uncurry$a (fun_app$ap (uua$ ?v0) ?v1)) ?v2) (and ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)))) :named a146))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (= (= (pair$b ?v0 ?v1) (pair$b ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a147))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist$) (?v3 A_llist$)) (= (= (pair$ ?v0 ?v1) (pair$ ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a148))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (= (= (pair$b ?v0 ?v1) (pair$b ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a149))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist$) (?v3 A_llist$)) (= (= (pair$ ?v0 ?v1) (pair$ ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a150))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (=> (fun_app$j (fun_app$al uncurry$d ?v0) (pair$b ?v1 ?v2)) (fun_app$h (fun_app$r ?v0 ?v1) ?v2))) :named a151))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (=> (fun_app$h (fun_app$ad uncurry$a ?v0) (pair$ ?v1 ?v2)) (fun_app$l (fun_app$m ?v0 ?v1) ?v2))) :named a152))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (and (fun_app$j (fun_app$al uncurry$d ?v0) ?v1) (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (=> (and (= ?v1 (pair$b ?v2 ?v3)) (fun_app$h (fun_app$r ?v0 ?v2) ?v3)) false))) false)) :named a153))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod$)) (=> (and (fun_app$h (fun_app$ad uncurry$a ?v0) ?v1) (forall ((?v2 A_llist$) (?v3 A_llist$)) (=> (and (= ?v1 (pair$ ?v2 ?v3)) (fun_app$l (fun_app$m ?v0 ?v2) ?v3)) false))) false)) :named a154))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_set_fun$)) (= (fun_app$ah uncurry$b (uub$ ?v0)) ?v0)) :named a155))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_fun$)) (= (fun_app$ab uncurry$ (uuc$ ?v0)) ?v0)) :named a156))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$)) (= (fun_app$al uncurry$d (uud$ ?v0)) ?v0)) :named a157))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)) (= (fun_app$aj uncurry$c (uue$ ?v0)) ?v0)) :named a158))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$)) (= (fun_app$ad uncurry$a (uuf$ ?v0)) ?v0)) :named a159))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_set_fun$)) (=> (forall ((?v2 A_llist$) (?v3 A_llist$)) (= (fun_app$n (fun_app$o ?v0 ?v2) ?v3) (fun_app$x ?v1 (pair$ ?v2 ?v3)))) (= (fun_app$ah uncurry$b ?v0) ?v1))) :named a160))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_fun$)) (=> (forall ((?v2 A_llist$) (?v3 A_llist$)) (= (fun_app$d (fun_app$e ?v0 ?v2) ?v3) (fun_app$w ?v1 (pair$ ?v2 ?v3)))) (= (fun_app$ab uncurry$ ?v0) ?v1))) :named a161))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$)) (=> (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (= (fun_app$h (fun_app$r ?v0 ?v2) ?v3) (fun_app$j ?v1 (pair$b ?v2 ?v3)))) (= (fun_app$al uncurry$d ?v0) ?v1))) :named a162))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)) (=> (forall ((?v2 A_llist$) (?v3 A_llist$)) (= (fun_app$p (fun_app$q ?v0 ?v2) ?v3) (fun_app$r ?v1 (pair$ ?v2 ?v3)))) (= (fun_app$aj uncurry$c ?v0) ?v1))) :named a163))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod_bool_fun$)) (=> (forall ((?v2 A_llist$) (?v3 A_llist$)) (= (fun_app$l (fun_app$m ?v0 ?v2) ?v3) (fun_app$h ?v1 (pair$ ?v2 ?v3)))) (= (fun_app$ad uncurry$a ?v0) ?v1))) :named a164))
(assert (! (forall ((?v0 A$) (?v1 A_llist_a_llist_a_set_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (=> (member$b ?v0 (fun_app$bz (fun_app$ca ?v1 ?v2) ?v3)) (member$b ?v0 (uncurry$e ?v1 (pair$ ?v2 ?v3))))) :named a165))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (=> (member$a ?v0 (fun_app$cb (fun_app$cc ?v1 ?v2) ?v3)) (member$a ?v0 (uncurry$f ?v1 (pair$ ?v2 ?v3))))) :named a166))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (=> (fun_app$i (member$ ?v0) (fun_app$x (fun_app$cd ?v1 ?v2) ?v3)) (fun_app$i (member$ ?v0) (uncurry$g ?v1 (pair$b ?v2 ?v3))))) :named a167))
(assert (! (forall ((?v0 A$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_set_fun_fun$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (=> (member$b ?v0 (fun_app$ce (fun_app$cf ?v1 ?v2) ?v3)) (member$b ?v0 (uncurry$h ?v1 (pair$b ?v2 ?v3))))) :named a168))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (=> (member$a ?v0 (fun_app$cg (fun_app$ch ?v1 ?v2) ?v3)) (member$a ?v0 (uncurry$i ?v1 (pair$b ?v2 ?v3))))) :named a169))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist$) (?v3 A_llist$)) (=> (fun_app$i (member$ ?v0) (fun_app$n (fun_app$o ?v1 ?v2) ?v3)) (fun_app$i (member$ ?v0) (fun_app$x (fun_app$ah uncurry$b ?v1) (pair$ ?v2 ?v3))))) :named a170))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A$) (?v2 A_llist_a_llist_a_set_fun_fun$)) (=> (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (= ?v0 (pair$ ?v3 ?v4)) (member$b ?v1 (fun_app$bz (fun_app$ca ?v2 ?v3) ?v4)))) (member$b ?v1 (uncurry$e ?v2 ?v0)))) :named a171))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v2 A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$)) (=> (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (= ?v0 (pair$ ?v3 ?v4)) (member$a ?v1 (fun_app$cb (fun_app$cc ?v2 ?v3) ?v4)))) (member$a ?v1 (uncurry$f ?v2 ?v0)))) :named a172))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$)) (=> (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod$)) (=> (= ?v0 (pair$b ?v3 ?v4)) (fun_app$i (member$ ?v1) (fun_app$x (fun_app$cd ?v2 ?v3) ?v4)))) (fun_app$i (member$ ?v1) (uncurry$g ?v2 ?v0)))) :named a173))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_a_set_fun_fun$)) (=> (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod$)) (=> (= ?v0 (pair$b ?v3 ?v4)) (member$b ?v1 (fun_app$ce (fun_app$cf ?v2 ?v3) ?v4)))) (member$b ?v1 (uncurry$h ?v2 ?v0)))) :named a174))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$)) (=> (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod$)) (=> (= ?v0 (pair$b ?v3 ?v4)) (member$a ?v1 (fun_app$cg (fun_app$ch ?v2 ?v3) ?v4)))) (member$a ?v1 (uncurry$i ?v2 ?v0)))) :named a175))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$)) (=> (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (= ?v0 (pair$ ?v3 ?v4)) (fun_app$i (member$ ?v1) (fun_app$n (fun_app$o ?v2 ?v3) ?v4)))) (fun_app$i (member$ ?v1) (fun_app$x (fun_app$ah uncurry$b ?v2) ?v0)))) :named a176))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$)) (=> (forall ((?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (= (fun_app$j ?v0 ?v2) (fun_app$j ?v1 ?v2))) (= (collect$a ?v0) (collect$a ?v1)))) :named a177))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_prod_bool_fun$)) (=> (forall ((?v2 A_llist_a_llist_prod$)) (= (fun_app$h ?v0 ?v2) (fun_app$h ?v1 ?v2))) (= (collect$ ?v0) (collect$ ?v1)))) :named a178))
(assert (! (forall ((?v0 A_set$)) (= (collect$b (uug$ ?v0)) ?v0)) :named a179))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)) (= (collect$a (uuh$ ?v0)) ?v0)) :named a180))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$)) (= (collect$ (uui$ ?v0)) ?v0)) :named a181))
(assert (! (forall ((?v0 A$) (?v1 A_bool_fun$)) (= (member$b ?v0 (collect$b ?v1)) (fun_app$k ?v1 ?v0))) :named a182))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$)) (= (member$a ?v0 (collect$a ?v1)) (fun_app$j ?v1 ?v0))) :named a183))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_bool_fun$)) (= (fun_app$i (member$ ?v0) (collect$ ?v1)) (fun_app$h ?v1 ?v0))) :named a184))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (= (pair$ ?v3 ?v4) ?v0) (fun_app$h (fun_app$p (fun_app$q ?v1 ?v3) ?v4) ?v2))) (fun_app$h (fun_app$r (fun_app$aj uncurry$c ?v1) ?v0) ?v2))) :named a185))
(assert (! (forall ((?v0 A$) (?v1 A_llist_a_llist_a_set_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (and (member$b ?v0 (uncurry$e ?v1 ?v2)) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v2 (pair$ ?v3 ?v4)) (member$b ?v0 (fun_app$bz (fun_app$ca ?v1 ?v3) ?v4))) false))) false)) :named a186))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (and (member$a ?v0 (uncurry$f ?v1 ?v2)) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v2 (pair$ ?v3 ?v4)) (member$a ?v0 (fun_app$cb (fun_app$cc ?v1 ?v3) ?v4))) false))) false)) :named a187))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (and (fun_app$i (member$ ?v0) (uncurry$g ?v1 ?v2)) (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod$)) (=> (and (= ?v2 (pair$b ?v3 ?v4)) (fun_app$i (member$ ?v0) (fun_app$x (fun_app$cd ?v1 ?v3) ?v4))) false))) false)) :named a188))
(assert (! (forall ((?v0 A$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_set_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (and (member$b ?v0 (uncurry$h ?v1 ?v2)) (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod$)) (=> (and (= ?v2 (pair$b ?v3 ?v4)) (member$b ?v0 (fun_app$ce (fun_app$cf ?v1 ?v3) ?v4))) false))) false)) :named a189))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (and (member$a ?v0 (uncurry$i ?v1 ?v2)) (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod$)) (=> (and (= ?v2 (pair$b ?v3 ?v4)) (member$a ?v0 (fun_app$cg (fun_app$ch ?v1 ?v3) ?v4))) false))) false)) :named a190))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (and (fun_app$i (member$ ?v0) (fun_app$x (fun_app$ah uncurry$b ?v1) ?v2)) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v2 (pair$ ?v3 ?v4)) (fun_app$i (member$ ?v0) (fun_app$n (fun_app$o ?v1 ?v3) ?v4))) false))) false)) :named a191))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (=> (and (fun_app$h (fun_app$r (fun_app$aj uncurry$c ?v0) ?v1) ?v2) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v1 (pair$ ?v3 ?v4)) (fun_app$h (fun_app$p (fun_app$q ?v0 ?v3) ?v4) ?v2)) false))) false)) :named a192))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (= (pair$ ?v3 ?v4) ?v0) (fun_app$h (fun_app$p (fun_app$q ?v1 ?v3) ?v4) ?v2))) (fun_app$h (fun_app$r (fun_app$aj uncurry$c ?v1) ?v0) ?v2))) :named a193))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (=> (and (fun_app$h (fun_app$r (fun_app$aj uncurry$c ?v0) ?v1) ?v2) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v1 (pair$ ?v3 ?v4)) (fun_app$h (fun_app$p (fun_app$q ?v0 ?v3) ?v4) ?v2)) false))) false)) :named a194))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist$) (?v2 A_llist$) (?v3 A_llist_a_llist_prod$)) (=> (fun_app$h (fun_app$r (fun_app$aj uncurry$c ?v0) (pair$ ?v1 ?v2)) ?v3) (fun_app$h (fun_app$p (fun_app$q ?v0 ?v1) ?v2) ?v3))) :named a195))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (exists ((?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (= ?v0 (pair$b ?v1 ?v2)))) :named a196))
(assert (! (forall ((?v0 A_llist_a_llist_prod$)) (exists ((?v1 A_llist$) (?v2 A_llist$)) (= ?v0 (pair$ ?v1 ?v2)))) :named a197))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (=> (and (= (pair$b ?v0 ?v1) (pair$b ?v2 ?v3)) (=> (and (= ?v0 ?v2) (= ?v1 ?v3)) false)) false)) :named a198))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist$) (?v3 A_llist$)) (=> (and (= (pair$ ?v0 ?v1) (pair$ ?v2 ?v3)) (=> (and (= ?v0 ?v2) (= ?v1 ?v3)) false)) false)) :named a199))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (fun_app$j ?v0 (pair$b ?v2 ?v3))) (fun_app$j ?v0 ?v1))) :named a200))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_prod$)) (=> (forall ((?v2 A_llist$) (?v3 A_llist$)) (fun_app$h ?v0 (pair$ ?v2 ?v3))) (fun_app$h ?v0 ?v1))) :named a201))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (forall ((?v1 A_llist_a_llist_prod$) (?v2 A_llist$) (?v3 A_llist$)) (=> (= ?v0 (pair$b ?v1 (pair$ ?v2 ?v3))) false)) false)) :named a202))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_bool_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist$) (?v4 A_llist$)) (fun_app$j ?v0 (pair$b ?v2 (pair$ ?v3 ?v4)))) (fun_app$j ?v0 ?v1))) :named a203))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (forall ((?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (=> (= ?v0 (pair$b ?v1 ?v2)) false)) false)) :named a204))
(assert (! (forall ((?v0 A_llist_a_llist_prod$)) (=> (forall ((?v1 A_llist$) (?v2 A_llist$)) (=> (= ?v0 (pair$ ?v1 ?v2)) false)) false)) :named a205))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$)) (=> (= ?v0 ?v1) (= (fun_app$x (fun_app$ah uncurry$b ?v2) ?v0) (fun_app$x (fun_app$ah uncurry$b ?v2) ?v1)))) :named a206))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$)) (=> (= ?v0 ?v1) (= (fun_app$w (fun_app$ab uncurry$ ?v2) ?v0) (fun_app$w (fun_app$ab uncurry$ ?v2) ?v1)))) :named a207))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)) (=> (= ?v0 ?v1) (= (fun_app$j (fun_app$al uncurry$d ?v2) ?v0) (fun_app$j (fun_app$al uncurry$d ?v2) ?v1)))) :named a208))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$)) (=> (= ?v0 ?v1) (= (fun_app$r (fun_app$aj uncurry$c ?v2) ?v0) (fun_app$r (fun_app$aj uncurry$c ?v2) ?v1)))) :named a209))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_bool_fun_fun$)) (=> (= ?v0 ?v1) (= (fun_app$h (fun_app$ad uncurry$a ?v2) ?v0) (fun_app$h (fun_app$ad uncurry$a ?v2) ?v1)))) :named a210))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$az ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$ap (uuj$ ?v0) ?v1)) ?v2))) :named a211))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$ay ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (fun_app$w (fun_app$ab uncurry$ (uuk$ ?v0 ?v1)) ?v2))) :named a212))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$h ?v0 (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$ac (uul$ ?v0) ?v1)) ?v2))) :named a213))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_set_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$bc ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (fun_app$x (fun_app$ah uncurry$b (fun_app$bb (uum$ ?v0) ?v1)) ?v2))) :named a214))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$i ?v0 (fun_app$x (fun_app$ah uncurry$b ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$bi (uun$ ?v0) ?v1)) ?v2))) :named a215))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$be ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (fun_app$r (fun_app$aj uncurry$c (fun_app$bd (uuo$ ?v0) ?v1)) ?v2))) :named a216))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (= (fun_app$az ?v0 (fun_app$j (fun_app$al uncurry$d ?v1) ?v2)) (fun_app$j (fun_app$al uncurry$d (fun_app$aq (uup$ ?v0) ?v1)) ?v2))) :named a217))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$bk ?v0 (fun_app$r (fun_app$aj uncurry$c ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$bj (uuq$ ?v0) ?v1)) ?v2))) :named a218))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$w ?v0 (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (fun_app$w (fun_app$ab uncurry$ (uur$ ?v0 ?v1)) ?v2))) :named a219))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$bh ?v0 (fun_app$x (fun_app$ah uncurry$b ?v1) ?v2)) (fun_app$w (fun_app$ab uncurry$ (uus$ ?v0 ?v1)) ?v2))) :named a220))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$az ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$ap (uuj$ ?v0) ?v1)) ?v2))) :named a221))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$ay ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (fun_app$w (fun_app$ab uncurry$ (uuk$ ?v0 ?v1)) ?v2))) :named a222))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$h ?v0 (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$ac (uul$ ?v0) ?v1)) ?v2))) :named a223))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_set_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$bc ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (fun_app$x (fun_app$ah uncurry$b (fun_app$bb (uum$ ?v0) ?v1)) ?v2))) :named a224))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$i ?v0 (fun_app$x (fun_app$ah uncurry$b ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$bi (uun$ ?v0) ?v1)) ?v2))) :named a225))
(assert (! (forall ((?v0 Bool_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$be ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (fun_app$r (fun_app$aj uncurry$c (fun_app$bd (uuo$ ?v0) ?v1)) ?v2))) :named a226))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (= (fun_app$az ?v0 (fun_app$j (fun_app$al uncurry$d ?v1) ?v2)) (fun_app$j (fun_app$al uncurry$d (fun_app$aq (uup$ ?v0) ?v1)) ?v2))) :named a227))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$bk ?v0 (fun_app$r (fun_app$aj uncurry$c ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$bj (uuq$ ?v0) ?v1)) ?v2))) :named a228))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$w ?v0 (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (fun_app$w (fun_app$ab uncurry$ (uur$ ?v0 ?v1)) ?v2))) :named a229))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set_a_llist_a_llist_prod_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$bh ?v0 (fun_app$x (fun_app$ah uncurry$b ?v1) ?v2)) (fun_app$w (fun_app$ab uncurry$ (uus$ ?v0 ?v1)) ?v2))) :named a230))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (= (fun_app$h (fun_app$ad uncurry$a ?v0) (uncurry$j ?v1 ?v2)) (fun_app$j (fun_app$al uncurry$d (fun_app$ae (uut$ ?v0) ?v1)) ?v2))) :named a231))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$x (fun_app$ah uncurry$b ?v0) (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (fun_app$x (fun_app$ah uncurry$b (fun_app$ag (uuu$ ?v0) ?v1)) ?v2))) :named a232))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$w (fun_app$ab uncurry$ ?v0) (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (fun_app$w (fun_app$ab uncurry$ (uuv$ ?v0 ?v1)) ?v2))) :named a233))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$j (fun_app$al uncurry$d ?v0) (uncurry$k ?v1 ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$ak (uuw$ ?v0) ?v1)) ?v2))) :named a234))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_a_llist_a_llist_prod_prod_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (= (fun_app$j (fun_app$al uncurry$d ?v0) (uncurry$l ?v1 ?v2)) (fun_app$j (fun_app$al uncurry$d (fun_app$ao (uux$ ?v0) ?v1)) ?v2))) :named a235))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$r (fun_app$aj uncurry$c ?v0) (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (fun_app$r (fun_app$aj uncurry$c (fun_app$ai (uuy$ ?v0) ?v1)) ?v2))) :named a236))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$h (fun_app$ad uncurry$a ?v0) (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (fun_app$h (fun_app$ad uncurry$a (fun_app$ac (uuz$ ?v0) ?v1)) ?v2))) :named a237))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (= (= ?v0 ?v0) (fun_app$j (fun_app$al uncurry$d uva$) ?v0))) :named a238))
(assert (! (forall ((?v0 A_llist_a_llist_prod$)) (= (= ?v0 ?v0) (fun_app$h (fun_app$ad uncurry$a uvb$) ?v0))) :named a239))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$x (fun_app$ah uncurry$b ?v0) (pair$ ?v1 ?v2)) (fun_app$n (fun_app$o ?v0 ?v1) ?v2)) :pattern ((fun_app$x (fun_app$ah uncurry$b ?v0) (pair$ ?v1 ?v2))))) :named a240))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$w (fun_app$ab uncurry$ ?v0) (pair$ ?v1 ?v2)) (fun_app$d (fun_app$e ?v0 ?v1) ?v2)) :pattern ((fun_app$w (fun_app$ab uncurry$ ?v0) (pair$ ?v1 ?v2))))) :named a241))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (! (= (fun_app$j (fun_app$al uncurry$d ?v0) (pair$b ?v1 ?v2)) (fun_app$h (fun_app$r ?v0 ?v1) ?v2)) :pattern ((fun_app$j (fun_app$al uncurry$d ?v0) (pair$b ?v1 ?v2))))) :named a242))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$r (fun_app$aj uncurry$c ?v0) (pair$ ?v1 ?v2)) (fun_app$p (fun_app$q ?v0 ?v1) ?v2)) :pattern ((fun_app$r (fun_app$aj uncurry$c ?v0) (pair$ ?v1 ?v2))))) :named a243))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$h (fun_app$ad uncurry$a ?v0) (pair$ ?v1 ?v2)) (fun_app$l (fun_app$m ?v0 ?v1) ?v2)) :pattern ((fun_app$h (fun_app$ad uncurry$a ?v0) (pair$ ?v1 ?v2))))) :named a244))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (and (fun_app$j (fun_app$al uncurry$d ?v0) ?v1) (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (=> (and (= ?v1 (pair$b ?v2 ?v3)) (fun_app$h (fun_app$r ?v0 ?v2) ?v3)) false))) false)) :named a245))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod$)) (=> (and (fun_app$h (fun_app$ad uncurry$a ?v0) ?v1) (forall ((?v2 A_llist$) (?v3 A_llist$)) (=> (and (= ?v1 (pair$ ?v2 ?v3)) (fun_app$l (fun_app$m ?v0 ?v2) ?v3)) false))) false)) :named a246))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)) (=> (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod$)) (=> (= ?v0 (pair$b ?v2 ?v3)) (fun_app$h (fun_app$r ?v1 ?v2) ?v3))) (fun_app$j (fun_app$al uncurry$d ?v1) ?v0))) :named a247))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_bool_fun_fun$)) (=> (forall ((?v2 A_llist$) (?v3 A_llist$)) (=> (= ?v0 (pair$ ?v2 ?v3)) (fun_app$l (fun_app$m ?v1 ?v2) ?v3))) (fun_app$h (fun_app$ad uncurry$a ?v1) ?v0))) :named a248))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (and (fun_app$i ?v0 (fun_app$x (fun_app$ah uncurry$b ?v1) ?v2)) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v2 (pair$ ?v3 ?v4)) (fun_app$i ?v0 (fun_app$n (fun_app$o ?v1 ?v3) ?v4))) false))) false)) :named a249))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (and (fun_app$h ?v0 (fun_app$w (fun_app$ab uncurry$ ?v1) ?v2)) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v2 (pair$ ?v3 ?v4)) (fun_app$h ?v0 (fun_app$d (fun_app$e ?v1 ?v3) ?v4))) false))) false)) :named a250))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (and (fun_app$az ?v0 (fun_app$j (fun_app$al uncurry$d ?v1) ?v2)) (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod$)) (=> (and (= ?v2 (pair$b ?v3 ?v4)) (fun_app$az ?v0 (fun_app$h (fun_app$r ?v1 ?v3) ?v4))) false))) false)) :named a251))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun_bool_fun$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (and (fun_app$bk ?v0 (fun_app$r (fun_app$aj uncurry$c ?v1) ?v2)) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v2 (pair$ ?v3 ?v4)) (fun_app$bk ?v0 (fun_app$p (fun_app$q ?v1 ?v3) ?v4))) false))) false)) :named a252))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_prod$)) (=> (and (fun_app$az ?v0 (fun_app$h (fun_app$ad uncurry$a ?v1) ?v2)) (forall ((?v3 A_llist$) (?v4 A_llist$)) (=> (and (= ?v2 (pair$ ?v3 ?v4)) (fun_app$az ?v0 (fun_app$l (fun_app$m ?v1 ?v3) ?v4))) false))) false)) :named a253))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 Bool) (?v2 A_a_llist_bool_fun_fun$) (?v3 A_llist$)) (= (fun_app$az ?v0 (fun_app$l (fun_app$ci (case_llist$ ?v1) ?v2) ?v3)) (and (=> (= ?v3 lNil$) (fun_app$az ?v0 ?v1)) (=> (= ?v3 (lCons$ (lhd$ ?v3) (ltl$ ?v3))) (fun_app$az ?v0 (fun_app$l (fun_app$as ?v2 (lhd$ ?v3)) (ltl$ ?v3))))))) :named a254))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_a_llist_a_llist_fun_fun$) (?v3 A_llist$)) (= (fun_app$l ?v0 (fun_app$a (fun_app$cj (case_llist$a ?v1) ?v2) ?v3)) (and (=> (= ?v3 lNil$) (fun_app$l ?v0 ?v1)) (=> (= ?v3 (lCons$ (lhd$ ?v3) (ltl$ ?v3))) (fun_app$l ?v0 (fun_app$a (fun_app$v ?v2 (lhd$ ?v3)) (ltl$ ?v3))))))) :named a255))
(assert (! (forall ((?v0 A_bool_fun$) (?v1 A$) (?v2 A_a_llist_a_fun_fun$) (?v3 A_llist$)) (= (fun_app$k ?v0 (fun_app$c (fun_app$ck (case_llist$b ?v1) ?v2) ?v3)) (and (=> (= ?v3 lNil$) (fun_app$k ?v0 ?v1)) (=> (= ?v3 (lCons$ (lhd$ ?v3) (ltl$ ?v3))) (fun_app$k ?v0 (fun_app$c (fun_app$au ?v2 (lhd$ ?v3)) (ltl$ ?v3))))))) :named a256))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 Bool) (?v2 A_a_llist_bool_fun_fun$) (?v3 A_llist$)) (= (fun_app$az ?v0 (fun_app$l (fun_app$ci (case_llist$ ?v1) ?v2) ?v3)) (not (or (and (= ?v3 lNil$) (not (fun_app$az ?v0 ?v1))) (and (= ?v3 (lCons$ (lhd$ ?v3) (ltl$ ?v3))) (not (fun_app$az ?v0 (fun_app$l (fun_app$as ?v2 (lhd$ ?v3)) (ltl$ ?v3))))))))) :named a257))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_a_llist_a_llist_fun_fun$) (?v3 A_llist$)) (= (fun_app$l ?v0 (fun_app$a (fun_app$cj (case_llist$a ?v1) ?v2) ?v3)) (not (or (and (= ?v3 lNil$) (not (fun_app$l ?v0 ?v1))) (and (= ?v3 (lCons$ (lhd$ ?v3) (ltl$ ?v3))) (not (fun_app$l ?v0 (fun_app$a (fun_app$v ?v2 (lhd$ ?v3)) (ltl$ ?v3))))))))) :named a258))
(assert (! (forall ((?v0 A_bool_fun$) (?v1 A$) (?v2 A_a_llist_a_fun_fun$) (?v3 A_llist$)) (= (fun_app$k ?v0 (fun_app$c (fun_app$ck (case_llist$b ?v1) ?v2) ?v3)) (not (or (and (= ?v3 lNil$) (not (fun_app$k ?v0 ?v1))) (and (= ?v3 (lCons$ (lhd$ ?v3) (ltl$ ?v3))) (not (fun_app$k ?v0 (fun_app$c (fun_app$au ?v2 (lhd$ ?v3)) (ltl$ ?v3))))))))) :named a259))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v2 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v3 A_llist_a_llist_prod$)) (=> (and (forall ((?v4 A_llist$) (?v5 A_llist$)) (=> (= (pair$ ?v4 ?v5) ?v0) (= (fun_app$n (fun_app$o ?v1 ?v4) ?v5) (fun_app$n (fun_app$o ?v2 ?v4) ?v5)))) (= ?v3 ?v0)) (= (fun_app$x (fun_app$ah uncurry$b ?v1) ?v3) (fun_app$x (fun_app$ah uncurry$b ?v2) ?v0)))) :named a260))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v2 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v3 A_llist_a_llist_prod$)) (=> (and (forall ((?v4 A_llist$) (?v5 A_llist$)) (=> (= (pair$ ?v4 ?v5) ?v0) (= (fun_app$d (fun_app$e ?v1 ?v4) ?v5) (fun_app$d (fun_app$e ?v2 ?v4) ?v5)))) (= ?v3 ?v0)) (= (fun_app$w (fun_app$ab uncurry$ ?v1) ?v3) (fun_app$w (fun_app$ab uncurry$ ?v2) ?v0)))) :named a261))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v3 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (=> (and (forall ((?v4 A_llist_a_llist_prod$) (?v5 A_llist_a_llist_prod$)) (=> (= (pair$b ?v4 ?v5) ?v0) (= (fun_app$h (fun_app$r ?v1 ?v4) ?v5) (fun_app$h (fun_app$r ?v2 ?v4) ?v5)))) (= ?v3 ?v0)) (= (fun_app$j (fun_app$al uncurry$d ?v1) ?v3) (fun_app$j (fun_app$al uncurry$d ?v2) ?v0)))) :named a262))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v2 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v3 A_llist_a_llist_prod$)) (=> (and (forall ((?v4 A_llist$) (?v5 A_llist$)) (=> (= (pair$ ?v4 ?v5) ?v0) (= (fun_app$p (fun_app$q ?v1 ?v4) ?v5) (fun_app$p (fun_app$q ?v2 ?v4) ?v5)))) (= ?v3 ?v0)) (= (fun_app$r (fun_app$aj uncurry$c ?v1) ?v3) (fun_app$r (fun_app$aj uncurry$c ?v2) ?v0)))) :named a263))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_bool_fun_fun$) (?v2 A_llist_a_llist_bool_fun_fun$) (?v3 A_llist_a_llist_prod$)) (=> (and (forall ((?v4 A_llist$) (?v5 A_llist$)) (=> (= (pair$ ?v4 ?v5) ?v0) (= (fun_app$l (fun_app$m ?v1 ?v4) ?v5) (fun_app$l (fun_app$m ?v2 ?v4) ?v5)))) (= ?v3 ?v0)) (= (fun_app$h (fun_app$ad uncurry$a ?v1) ?v3) (fun_app$h (fun_app$ad uncurry$a ?v2) ?v0)))) :named a264))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (= (unfold_llist$ lnull$a uvc$ uvd$ ?v0) ?v0)) :named a265))
(assert (! (forall ((?v0 A_llist$)) (= (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a lnull$) uve$) uvf$) ?v0) ?v0)) :named a266))
(assert (! (forall ((?v0 Bool) (?v1 A_a_llist_bool_fun_fun$) (?v2 A_llist$)) (! (= (fun_app$l (fun_app$ci (case_llist$ ?v0) ?v1) ?v2) (ite (fun_app$l lnull$ ?v2) ?v0 (fun_app$l (fun_app$as ?v1 (lhd$ ?v2)) (ltl$ ?v2)))) :pattern ((fun_app$l (fun_app$ci (case_llist$ ?v0) ?v1) ?v2)))) :named a267))
(assert (! (forall ((?v0 A_llist$) (?v1 A_a_llist_a_llist_fun_fun$) (?v2 A_llist$)) (! (= (fun_app$a (fun_app$cj (case_llist$a ?v0) ?v1) ?v2) (ite (fun_app$l lnull$ ?v2) ?v0 (fun_app$a (fun_app$v ?v1 (lhd$ ?v2)) (ltl$ ?v2)))) :pattern ((fun_app$a (fun_app$cj (case_llist$a ?v0) ?v1) ?v2)))) :named a268))
(assert (! (forall ((?v0 A$) (?v1 A_a_llist_a_fun_fun$) (?v2 A_llist$)) (! (= (fun_app$c (fun_app$ck (case_llist$b ?v0) ?v1) ?v2) (ite (fun_app$l lnull$ ?v2) ?v0 (fun_app$c (fun_app$au ?v1 (lhd$ ?v2)) (ltl$ ?v2)))) :pattern ((fun_app$c (fun_app$ck (case_llist$b ?v0) ?v1) ?v2)))) :named a269))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod$)) (= (fun_app$h (fun_app$r (fun_app$aj uncurry$c ?v0) ?v1) ?v2) (fun_app$h (fun_app$ad uncurry$a (fun_app$y (uvg$ ?v0) ?v2)) ?v1))) :named a270))
(assert (! (= internal_split$ uncurry$b) :named a271))
(assert (! (= internal_split$a uncurry$) :named a272))
(assert (! (= internal_split$b uncurry$d) :named a273))
(assert (! (= internal_split$c uncurry$c) :named a274))
(assert (! (= internal_split$d uncurry$a) :named a275))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist_a_fun$) (?v2 A_llist_a_llist_fun$) (?v3 A_llist$)) (= (not (fun_app$l lnull$ (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v1) ?v2) ?v3))) (not (fun_app$l ?v0 ?v3)))) :named a276))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist_a_fun$) (?v2 A_llist_a_llist_fun$) (?v3 A_llist$)) (= (fun_app$l lnull$ (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v1) ?v2) ?v3)) (fun_app$l ?v0 ?v3))) :named a277))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist_a_fun$) (?v2 A_llist_a_llist_fun$) (?v3 A_llist$) (?v4 A$) (?v5 A_llist$)) (= (= (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v1) ?v2) ?v3) (lCons$ ?v4 ?v5)) (and (not (fun_app$l ?v0 ?v3)) (and (= ?v4 (fun_app$c ?v1 ?v3)) (= ?v5 (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v1) ?v2) (fun_app$a ?v2 ?v3))))))) :named a278))
(assert (! (forall ((?v0 Bool_bool_fun$) (?v1 Bool) (?v2 A_a_llist_bool_fun_fun$) (?v3 A_llist$)) (= (fun_app$az ?v0 (fun_app$l (fun_app$ci (case_llist$ ?v1) ?v2) ?v3)) (fun_app$l (fun_app$ci (case_llist$ (fun_app$az ?v0 ?v1)) (fun_app$ba (uvh$ ?v0) ?v2)) ?v3))) :named a279))
(assert (! (forall ((?v0 Bool_a_llist_fun$) (?v1 Bool) (?v2 A_a_llist_bool_fun_fun$) (?v3 A_llist$)) (= (fun_app$ax ?v0 (fun_app$l (fun_app$ci (case_llist$ ?v1) ?v2) ?v3)) (fun_app$a (fun_app$cj (case_llist$a (fun_app$ax ?v0 ?v1)) (fun_app$aw (uvi$ ?v0) ?v2)) ?v3))) :named a280))
(assert (! (forall ((?v0 Bool_a_fun$) (?v1 Bool) (?v2 A_a_llist_bool_fun_fun$) (?v3 A_llist$)) (= (fun_app$bg ?v0 (fun_app$l (fun_app$ci (case_llist$ ?v1) ?v2) ?v3)) (fun_app$c (fun_app$ck (case_llist$b (fun_app$bg ?v0 ?v1)) (fun_app$bf (uvj$ ?v0) ?v2)) ?v3))) :named a281))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_a_llist_a_llist_fun_fun$) (?v3 A_llist$)) (= (fun_app$l ?v0 (fun_app$a (fun_app$cj (case_llist$a ?v1) ?v2) ?v3)) (fun_app$l (fun_app$ci (case_llist$ (fun_app$l ?v0 ?v1)) (fun_app$at (uvk$ ?v0) ?v2)) ?v3))) :named a282))
(assert (! (forall ((?v0 A_llist_a_llist_fun$) (?v1 A_llist$) (?v2 A_a_llist_a_llist_fun_fun$) (?v3 A_llist$)) (= (fun_app$a ?v0 (fun_app$a (fun_app$cj (case_llist$a ?v1) ?v2) ?v3)) (fun_app$a (fun_app$cj (case_llist$a (fun_app$a ?v0 ?v1)) (fun_app$ar (uvl$ ?v0) ?v2)) ?v3))) :named a283))
(assert (! (forall ((?v0 A_llist_a_fun$) (?v1 A_llist$) (?v2 A_a_llist_a_llist_fun_fun$) (?v3 A_llist$)) (= (fun_app$c ?v0 (fun_app$a (fun_app$cj (case_llist$a ?v1) ?v2) ?v3)) (fun_app$c (fun_app$ck (case_llist$b (fun_app$c ?v0 ?v1)) (fun_app$av (uvm$ ?v0) ?v2)) ?v3))) :named a284))
(assert (! (forall ((?v0 A_bool_fun$) (?v1 A$) (?v2 A_a_llist_a_fun_fun$) (?v3 A_llist$)) (= (fun_app$k ?v0 (fun_app$c (fun_app$ck (case_llist$b ?v1) ?v2) ?v3)) (fun_app$l (fun_app$ci (case_llist$ (fun_app$k ?v0 ?v1)) (fun_app$bn (uvn$ ?v0) ?v2)) ?v3))) :named a285))
(assert (! (forall ((?v0 A_a_llist_fun$) (?v1 A$) (?v2 A_a_llist_a_fun_fun$) (?v3 A_llist$)) (= (fun_app$bm ?v0 (fun_app$c (fun_app$ck (case_llist$b ?v1) ?v2) ?v3)) (fun_app$a (fun_app$cj (case_llist$a (fun_app$bm ?v0 ?v1)) (fun_app$bl (uvo$ ?v0) ?v2)) ?v3))) :named a286))
(assert (! (forall ((?v0 A_a_fun$) (?v1 A$) (?v2 A_a_llist_a_fun_fun$) (?v3 A_llist$)) (= (fun_app$bp ?v0 (fun_app$c (fun_app$ck (case_llist$b ?v1) ?v2) ?v3)) (fun_app$c (fun_app$ck (case_llist$b (fun_app$bp ?v0 ?v1)) (fun_app$bo (uvp$ ?v0) ?v2)) ?v3))) :named a287))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_llist_a_fun$) (?v3 A_llist_a_llist_fun$)) (=> (not (fun_app$l ?v0 ?v1)) (not (fun_app$l lnull$ (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) ?v1))))) :named a288))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_llist_a_fun$) (?v3 A_llist_a_llist_fun$)) (=> (fun_app$l ?v0 ?v1) (fun_app$l lnull$ (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) ?v1)))) :named a289))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_llist_a_fun$) (?v3 A_llist_a_llist_fun$)) (=> (not (fun_app$l ?v0 ?v1)) (= (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) ?v1) (lCons$ (fun_app$c ?v2 ?v1) (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) (fun_app$a ?v3 ?v1)))))) :named a290))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_llist_a_fun$) (?v3 A_llist_a_llist_fun$)) (! (=> (fun_app$l ?v0 ?v1) (= (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) ?v1) lNil$)) :pattern ((fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) ?v1)))) :named a291))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_llist_a_fun$) (?v3 A_llist_a_llist_fun$)) (=> (not (fun_app$l ?v0 ?v1)) (= (ltl$ (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) ?v1)) (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) (fun_app$a ?v3 ?v1))))) :named a292))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_llist_a_fun$) (?v3 A_llist_a_llist_fun$)) (=> (not (fun_app$l ?v0 ?v1)) (= (lhd$ (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v2) ?v3) ?v1)) (fun_app$c ?v2 ?v1)))) :named a293))
(assert (! (forall ((?v0 Bool) (?v1 A_a_llist_bool_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$l (fun_app$ci (case_llist$ ?v0) ?v1) (lCons$ ?v2 ?v3)) (fun_app$l (fun_app$as ?v1 ?v2) ?v3)) :pattern ((fun_app$l (fun_app$ci (case_llist$ ?v0) ?v1) (lCons$ ?v2 ?v3))))) :named a294))
(assert (! (forall ((?v0 A_llist$) (?v1 A_a_llist_a_llist_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$a (fun_app$cj (case_llist$a ?v0) ?v1) (lCons$ ?v2 ?v3)) (fun_app$a (fun_app$v ?v1 ?v2) ?v3)) :pattern ((fun_app$a (fun_app$cj (case_llist$a ?v0) ?v1) (lCons$ ?v2 ?v3))))) :named a295))
(assert (! (forall ((?v0 A$) (?v1 A_a_llist_a_fun_fun$) (?v2 A$) (?v3 A_llist$)) (! (= (fun_app$c (fun_app$ck (case_llist$b ?v0) ?v1) (lCons$ ?v2 ?v3)) (fun_app$c (fun_app$au ?v1 ?v2) ?v3)) :pattern ((fun_app$c (fun_app$ck (case_llist$b ?v0) ?v1) (lCons$ ?v2 ?v3))))) :named a296))
(assert (! (forall ((?v0 Bool) (?v1 A_a_llist_bool_fun_fun$)) (! (= (fun_app$l (fun_app$ci (case_llist$ ?v0) ?v1) lNil$) ?v0) :pattern ((fun_app$ci (case_llist$ ?v0) ?v1)))) :named a297))
(assert (! (forall ((?v0 A_llist$) (?v1 A_a_llist_a_llist_fun_fun$)) (! (= (fun_app$a (fun_app$cj (case_llist$a ?v0) ?v1) lNil$) ?v0) :pattern ((fun_app$cj (case_llist$a ?v0) ?v1)))) :named a298))
(assert (! (forall ((?v0 A$) (?v1 A_a_llist_a_fun_fun$)) (! (= (fun_app$c (fun_app$ck (case_llist$b ?v0) ?v1) lNil$) ?v0) :pattern ((fun_app$ck (case_llist$b ?v0) ?v1)))) :named a299))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (= (not (fun_app$bw lnull$a ?v0)) (fun_app$bw (fun_app$cn (case_llist$c false) uvq$) ?v0))) :named a300))
(assert (! (forall ((?v0 A_llist$)) (= (not (fun_app$l lnull$ ?v0)) (fun_app$l (fun_app$ci (case_llist$ false) uvr$) ?v0))) :named a301))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (! (= (fun_app$bw lnull$a ?v0) (fun_app$bw (fun_app$cn (case_llist$c true) uvs$) ?v0)) :pattern ((fun_app$bw lnull$a ?v0)))) :named a302))
(assert (! (forall ((?v0 A_llist$)) (! (= (fun_app$l lnull$ ?v0) (fun_app$l (fun_app$ci (case_llist$ true) uvt$) ?v0)) :pattern ((fun_app$l lnull$ ?v0)))) :named a303))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist_a_fun$) (?v2 A_llist_a_llist_fun$) (?v3 A_llist$)) (= (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v1) ?v2) ?v3) (ite (fun_app$l ?v0 ?v3) lNil$ (lCons$ (fun_app$c ?v1 ?v3) (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v1) ?v2) (fun_app$a ?v2 ?v3)))))) :named a304))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist_a_fun$) (?v2 A_llist_a_llist_fun$) (?v3 A_llist$)) (= (ltl$ (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v1) ?v2) ?v3)) (ite (fun_app$l ?v0 ?v3) lNil$ (fun_app$a (fun_app$cl (fun_app$cm (unfold_llist$a ?v0) ?v1) ?v2) (fun_app$a ?v2 ?v3))))) :named a305))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (= (ltl$a ?v0) (case_llist$d lNil$a uvu$ ?v0))) :named a306))
(assert (! (forall ((?v0 A_llist$)) (= (ltl$ ?v0) (fun_app$a (fun_app$cj (case_llist$a lNil$) uvv$) ?v0))) :named a307))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$h (fun_app$ad internal_split$d ?v0) (pair$ ?v1 ?v2)) (fun_app$l (fun_app$m ?v0 ?v1) ?v2)) :pattern ((fun_app$h (fun_app$ad internal_split$d ?v0) (pair$ ?v1 ?v2))))) :named a308))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (! (= (uncurry$l uvw$ ?v0) ?v0) :pattern ((uncurry$l uvw$ ?v0)))) :named a309))
(assert (! (forall ((?v0 A_llist_a_llist_prod$)) (! (= (fun_app$w (fun_app$ab uncurry$ uvx$) ?v0) ?v0) :pattern ((fun_app$w (fun_app$ab uncurry$ uvx$) ?v0)))) :named a310))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod_set$)) (= (= (uvy$ ?v0) (uvy$ ?v1)) (= ?v0 ?v1))) :named a311))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (= (= (uvz$ ?v0) (uvz$ ?v1)) (= ?v0 ?v1))) :named a312))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (=> (or (not (fun_app$bw lnull$a ?v0)) (not (fun_app$bw lnull$a ?v1))) (= (lhd$a (fun_app$ (lappend$ ?v0) ?v1)) (case_llist$e (lhd$a ?v1) uwa$ ?v0)))) :named a313))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (or (not (fun_app$l lnull$ ?v0)) (not (fun_app$l lnull$ ?v1))) (= (lhd$ (fun_app$a (lappend$a ?v0) ?v1)) (fun_app$c (fun_app$ck (case_llist$b (lhd$ ?v1)) uwb$) ?v0)))) :named a314))
(assert (! (forall ((?v0 A_bool_fun$) (?v1 A$) (?v2 A_llist$)) (! (= (fun_app$l (pred_llist$ ?v0) (lCons$ ?v1 ?v2)) (and (fun_app$k ?v0 ?v1) (fun_app$l (pred_llist$ ?v0) ?v2))) :pattern ((fun_app$l (pred_llist$ ?v0) (lCons$ ?v1 ?v2))))) :named a315))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (! (= (fun_app$bw (pred_llist$a ?v0) (lCons$a ?v1 ?v2)) (and (fun_app$h ?v0 ?v1) (fun_app$bw (pred_llist$a ?v0) ?v2))) :pattern ((fun_app$bw (pred_llist$a ?v0) (lCons$a ?v1 ?v2))))) :named a316))
(assert (! (forall ((?v0 A_llist_a_llist_prod$)) (! (= (fun_app$bw (lmember$ ?v0) lNil$a) false) :pattern ((lmember$ ?v0)))) :named a317))
(assert (! (forall ((?v0 A$)) (! (= (fun_app$l (lmember$a ?v0) lNil$) false) :pattern ((lmember$a ?v0)))) :named a318))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_set_fun_fun$) (?v1 A_llist_a_llist_prod$)) (= (fun_app$x (fun_app$ah uncurry$b (uwc$ ?v0)) (swap$ ?v1)) (fun_app$x (fun_app$ah uncurry$b ?v0) ?v1))) :named a319))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_fun_fun$) (?v1 A_llist_a_llist_prod$)) (= (fun_app$w (fun_app$ab uncurry$ (uwd$ ?v0)) (swap$ ?v1)) (fun_app$w (fun_app$ab uncurry$ ?v0) ?v1))) :named a320))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod_a_llist_a_llist_prod_prod$)) (= (fun_app$j (fun_app$al uncurry$d (uwe$ ?v0)) (swap$a ?v1)) (fun_app$j (fun_app$al uncurry$d ?v0) ?v1))) :named a321))
(assert (! (forall ((?v0 A_llist_a_llist_a_llist_a_llist_prod_bool_fun_fun_fun$) (?v1 A_llist_a_llist_prod$)) (= (fun_app$r (fun_app$aj uncurry$c (uwf$ ?v0)) (swap$ ?v1)) (fun_app$r (fun_app$aj uncurry$c ?v0) ?v1))) :named a322))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_prod$)) (= (fun_app$h (fun_app$ad uncurry$a (uwg$ ?v0)) (swap$ ?v1)) (fun_app$h (fun_app$ad uncurry$a ?v0) ?v1))) :named a323))
(assert (! (forall ((?v0 A$) (?v1 A$) (?v2 A_llist$)) (! (= (fun_app$l (lmember$a ?v0) (lCons$ ?v1 ?v2)) (or (= ?v0 ?v1) (fun_app$l (lmember$a ?v0) ?v2))) :pattern ((fun_app$l (lmember$a ?v0) (lCons$ ?v1 ?v2))))) :named a324))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (! (= (fun_app$bw (lmember$ ?v0) (lCons$a ?v1 ?v2)) (or (= ?v0 ?v1) (fun_app$bw (lmember$ ?v0) ?v2))) :pattern ((fun_app$bw (lmember$ ?v0) (lCons$a ?v1 ?v2))))) :named a325))
(assert (! (forall ((?v0 A_llist_a_llist_prod$)) (= (swap$ (swap$ ?v0)) ?v0)) :named a326))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (= (fun_app$bw lnull$a (fun_app$ (lappend$ ?v0) ?v1)) (and (fun_app$bw lnull$a ?v0) (fun_app$bw lnull$a ?v1)))) :named a327))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (fun_app$l lnull$ (fun_app$a (lappend$a ?v0) ?v1)) (and (fun_app$l lnull$ ?v0) (fun_app$l lnull$ ?v1)))) :named a328))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (= (not (fun_app$bw lnull$a (fun_app$ (lappend$ ?v0) ?v1))) (or (not (fun_app$bw lnull$a ?v0)) (not (fun_app$bw lnull$a ?v1))))) :named a329))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (not (fun_app$l lnull$ (fun_app$a (lappend$a ?v0) ?v1))) (or (not (fun_app$l lnull$ ?v0)) (not (fun_app$l lnull$ ?v1))))) :named a330))
(assert (! (forall ((?v0 A$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$a (lappend$a (lCons$ ?v0 ?v1)) ?v2) (lCons$ ?v0 (fun_app$a (lappend$a ?v1) ?v2))) :pattern ((fun_app$a (lappend$a (lCons$ ?v0 ?v1)) ?v2)))) :named a331))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist$)) (! (= (fun_app$ (lappend$ (lCons$a ?v0 ?v1)) ?v2) (lCons$a ?v0 (fun_app$ (lappend$ ?v1) ?v2))) :pattern ((fun_app$ (lappend$ (lCons$a ?v0 ?v1)) ?v2)))) :named a332))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (! (= (fun_app$ (lappend$ lNil$a) ?v0) ?v0) :pattern ((fun_app$ (lappend$ lNil$a) ?v0)))) :named a333))
(assert (! (forall ((?v0 A_llist$)) (! (= (fun_app$a (lappend$a lNil$) ?v0) ?v0) :pattern ((fun_app$a (lappend$a lNil$) ?v0)))) :named a334))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (! (= (fun_app$ (lappend$ ?v0) lNil$a) ?v0) :pattern ((lappend$ ?v0)))) :named a335))
(assert (! (forall ((?v0 A_llist$)) (! (= (fun_app$a (lappend$a ?v0) lNil$) ?v0) :pattern ((lappend$a ?v0)))) :named a336))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod$)) (= (swap$a (pair$b ?v0 ?v1)) (pair$b ?v1 ?v0))) :named a337))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (swap$ (pair$ ?v0 ?v1)) (pair$ ?v1 ?v0))) :named a338))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (= (ltl$a (fun_app$ (lappend$ ?v0) ?v1)) (ite (fun_app$bw lnull$a ?v0) (ltl$a ?v1) (fun_app$ (lappend$ (ltl$a ?v0)) ?v1)))) :named a339))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (ltl$ (fun_app$a (lappend$a ?v0) ?v1)) (ite (fun_app$l lnull$ ?v0) (ltl$ ?v1) (fun_app$a (lappend$a (ltl$ ?v0)) ?v1)))) :named a340))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (= (lhd$a (fun_app$ (lappend$ ?v0) ?v1)) (ite (fun_app$bw lnull$a ?v0) (lhd$a ?v1) (lhd$a ?v0)))) :named a341))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (lhd$ (fun_app$a (lappend$a ?v0) ?v1)) (ite (fun_app$l lnull$ ?v0) (lhd$ ?v1) (lhd$ ?v0)))) :named a342))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist$)) (= (fun_app$a (lappend$a (fun_app$a (lappend$a ?v0) ?v1)) ?v2) (fun_app$a (lappend$a ?v0) (fun_app$a (lappend$a ?v1) ?v2)))) :named a343))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist$)) (= (fun_app$ (lappend$ (fun_app$ (lappend$ ?v0) ?v1)) ?v2) (fun_app$ (lappend$ ?v0) (fun_app$ (lappend$ ?v1) ?v2)))) :named a344))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (! (=> (fun_app$bw lnull$a ?v0) (= (fun_app$ (lappend$ ?v0) ?v1) ?v1)) :pattern ((fun_app$ (lappend$ ?v0) ?v1)))) :named a345))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (! (=> (fun_app$l lnull$ ?v0) (= (fun_app$a (lappend$a ?v0) ?v1) ?v1)) :pattern ((fun_app$a (lappend$a ?v0) ?v1)))) :named a346))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (! (=> (fun_app$bw lnull$a ?v0) (= (fun_app$ (lappend$ ?v1) ?v0) ?v1)) :pattern ((fun_app$ (lappend$ ?v1) ?v0)))) :named a347))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (! (=> (fun_app$l lnull$ ?v0) (= (fun_app$a (lappend$a ?v1) ?v0) ?v1)) :pattern ((fun_app$a (lappend$a ?v1) ?v0)))) :named a348))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$bw lnull$a ?v0) (fun_app$bw lnull$a ?v1)) (fun_app$bw lnull$a (fun_app$ (lappend$ ?v0) ?v1)))) :named a349))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (and (fun_app$l lnull$ ?v0) (fun_app$l lnull$ ?v1)) (fun_app$l lnull$ (fun_app$a (lappend$a ?v0) ?v1)))) :named a350))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (=> (or (not (fun_app$bw lnull$a ?v0)) (not (fun_app$bw lnull$a ?v1))) (not (fun_app$bw lnull$a (fun_app$ (lappend$ ?v0) ?v1))))) :named a351))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (or (not (fun_app$l lnull$ ?v0)) (not (fun_app$l lnull$ ?v1))) (not (fun_app$l lnull$ (fun_app$a (lappend$a ?v0) ?v1))))) :named a352))
(assert (! (= (fun_app$ (lappend$ lNil$a) lNil$a) lNil$a) :named a353))
(assert (! (= (fun_app$a (lappend$a lNil$) lNil$) lNil$) :named a354))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (= (= (fun_app$ (lappend$ ?v0) ?v1) lNil$a) (and (= ?v0 lNil$a) (= ?v1 lNil$a)))) :named a355))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (= (fun_app$a (lappend$a ?v0) ?v1) lNil$) (and (= ?v0 lNil$) (= ?v1 lNil$)))) :named a356))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (= (= lNil$a (fun_app$ (lappend$ ?v0) ?v1)) (and (= ?v0 lNil$a) (= ?v1 lNil$a)))) :named a357))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (= lNil$ (fun_app$a (lappend$a ?v0) ?v1)) (and (= ?v0 lNil$) (= ?v1 lNil$)))) :named a358))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (= (fun_app$ (lappend$ ?v0) ?v1) (case_llist$d ?v1 (uwh$ ?v1) ?v0))) :named a359))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (fun_app$a (lappend$a ?v0) ?v1) (fun_app$a (fun_app$cj (case_llist$a ?v1) (uwi$ ?v1)) ?v0))) :named a360))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod_llist$)) (! (=> (and (fun_app$bw lnull$a ?v0) (fun_app$bw lnull$a ?v1)) (= (fun_app$ (lappend$ ?v0) ?v1) lNil$a)) :pattern ((fun_app$ (lappend$ ?v0) ?v1)))) :named a361))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (! (=> (and (fun_app$l lnull$ ?v0) (fun_app$l lnull$ ?v1)) (= (fun_app$a (lappend$a ?v0) ?v1) lNil$)) :pattern ((fun_app$a (lappend$a ?v0) ?v1)))) :named a362))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod$) (?v2 A_llist_a_llist_prod_llist$)) (= (fun_app$ (lappend$ (fun_app$ (lappend$ ?v0) (lCons$a ?v1 lNil$a))) ?v2) (fun_app$ (lappend$ ?v0) (lCons$a ?v1 ?v2)))) :named a363))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (not (fun_app$l lnull$ ?v0)) (= (fun_app$a (lappend$a (ltl$ ?v0)) ?v1) (ltl$ (fun_app$a (lappend$a ?v0) ?v1))))) :named a364))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (or (not (fun_app$l lnull$ ?v0)) (not (fun_app$l lnull$ ?v1))) (= (fun_app$a (lappend$a ?v0) ?v1) (lCons$ (fun_app$c (fun_app$ck (case_llist$b (lhd$ ?v1)) uwb$) ?v0) (fun_app$a (fun_app$cj (case_llist$a (fun_app$a (fun_app$cj (case_llist$a undefined$) uvv$) ?v1)) (uwj$ ?v1)) ?v0))))) :named a365))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (=> (or (not (fun_app$l lnull$ ?v0)) (not (fun_app$l lnull$ ?v1))) (= (ltl$ (fun_app$a (lappend$a ?v0) ?v1)) (fun_app$a (fun_app$cj (case_llist$a (fun_app$a (fun_app$cj (case_llist$a undefined$) uvv$) ?v1)) (uwj$ ?v1)) ?v0)))) :named a366))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_fun$)) (= (inv_image$ ?v0 ?v1) (collect$ (fun_app$ad uncurry$a (fun_app$z (uwk$ ?v0) ?v1))))) :named a367))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist_a_llist_a_llist_prod_set_fun$)) (= (same_fst$ ?v0 ?v1) (collect$a (fun_app$al uncurry$d (fun_app$aj uncurry$c (fun_app$bt (uwm$ ?v0) ?v1)))))) :named a368))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun$)) (=> (and (fun_app$i (member$ ?v0) (lset$ ?v1)) (and (forall ((?v3 A_llist_a_llist_prod_llist$)) (=> (not (fun_app$bw lnull$a ?v3)) (fun_app$bw (fun_app$bx ?v2 (lhd$a ?v3)) ?v3))) (forall ((?v3 A_llist_a_llist_prod_llist$) (?v4 A_llist_a_llist_prod$)) (=> (and (not (fun_app$bw lnull$a ?v3)) (and (fun_app$i (member$ ?v4) (lset$ (ltl$a ?v3))) (fun_app$bw (fun_app$bx ?v2 ?v4) (ltl$a ?v3)))) (fun_app$bw (fun_app$bx ?v2 ?v4) ?v3))))) (fun_app$bw (fun_app$bx ?v2 ?v0) ?v1))) :named a369))
(assert (! (forall ((?v0 A$) (?v1 A_llist$) (?v2 A_a_llist_bool_fun_fun$)) (=> (and (member$b ?v0 (lset$a ?v1)) (and (forall ((?v3 A_llist$)) (=> (not (fun_app$l lnull$ ?v3)) (fun_app$l (fun_app$as ?v2 (lhd$ ?v3)) ?v3))) (forall ((?v3 A_llist$) (?v4 A$)) (=> (and (not (fun_app$l lnull$ ?v3)) (and (member$b ?v4 (lset$a (ltl$ ?v3))) (fun_app$l (fun_app$as ?v2 ?v4) (ltl$ ?v3)))) (fun_app$l (fun_app$as ?v2 ?v4) ?v3))))) (fun_app$l (fun_app$as ?v2 ?v0) ?v1))) :named a370))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist_a_llist_prod_set$) (?v3 A_llist_a_llist_fun$)) (= (fun_app$i (member$ (pair$ ?v0 ?v1)) (inv_image$ ?v2 ?v3)) (fun_app$i (member$ (pair$ (fun_app$a ?v3 ?v0) (fun_app$a ?v3 ?v1))) ?v2))) :named a371))
(assert (! (forall ((?v0 A_llist_bool_fun$) (?v1 A_llist$) (?v2 A_llist$) (?v3 A_llist$) (?v4 A_llist_a_llist_a_llist_prod_set_fun$)) (=> (and (fun_app$l ?v0 ?v1) (fun_app$i (member$ (pair$ ?v2 ?v3)) (fun_app$n ?v4 ?v1))) (member$a (pair$b (pair$ ?v1 ?v2) (pair$ ?v1 ?v3)) (same_fst$ ?v0 ?v4)))) :named a372))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (fun_app$i (member$ ?v0) (lset$ (lCons$a ?v0 ?v1)))) :named a373))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (fun_app$i (member$ ?v0) (lset$ (lCons$a ?v0 ?v1)))) :named a374))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod$)) (=> (fun_app$i (member$ ?v0) (lset$ ?v1)) (fun_app$i (member$ ?v0) (lset$ (lCons$a ?v2 ?v1))))) :named a375))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod$)) (=> (fun_app$i (member$ ?v0) (lset$ ?v1)) (fun_app$i (member$ ?v0) (lset$ (lCons$a ?v2 ?v1))))) :named a376))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$i (member$ ?v0) (lset$ ?v1)) (and (forall ((?v2 A_llist_a_llist_prod_llist$)) (=> (= ?v1 (lCons$a ?v0 ?v2)) false)) (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod_llist$)) (=> (and (= ?v1 (lCons$a ?v2 ?v3)) (fun_app$i (member$ ?v0) (lset$ ?v3))) false)))) false)) :named a377))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist_bool_fun$)) (=> (and (fun_app$i (member$ ?v0) (lset$ ?v1)) (and (forall ((?v3 A_llist_a_llist_prod_llist$)) (fun_app$bw ?v2 (lCons$a ?v0 ?v3))) (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$i (member$ ?v0) (lset$ ?v4)) (and (not (= ?v0 ?v3)) (fun_app$bw ?v2 ?v4))) (fun_app$bw ?v2 (lCons$a ?v3 ?v4)))))) (fun_app$bw ?v2 ?v1))) :named a378))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist_bool_fun$)) (=> (and (fun_app$i (member$ ?v0) (lset$ ?v1)) (and (forall ((?v3 A_llist_a_llist_prod_llist$)) (fun_app$bw ?v2 (lCons$a ?v0 ?v3))) (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$i (member$ ?v0) (lset$ ?v4)) (fun_app$bw ?v2 ?v4)) (fun_app$bw ?v2 (lCons$a ?v3 ?v4)))))) (fun_app$bw ?v2 ?v1))) :named a379))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (=> (and (fun_app$i (member$ ?v0) (lset$ ?v1)) (and (forall ((?v2 A_llist_a_llist_prod_llist$)) (=> (= ?v1 (lCons$a ?v0 ?v2)) false)) (forall ((?v2 A_llist_a_llist_prod$) (?v3 A_llist_a_llist_prod_llist$)) (=> (and (= ?v1 (lCons$a ?v2 ?v3)) (fun_app$i (member$ ?v0) (lset$ ?v3))) false)))) false)) :named a380))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_a_llist_a_llist_prod_llist_bool_fun_fun$)) (=> (and (fun_app$i (member$ ?v0) (lset$ ?v1)) (and (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod_llist$)) (fun_app$bw (fun_app$bx ?v2 ?v3) (lCons$a ?v3 ?v4))) (forall ((?v3 A_llist_a_llist_prod$) (?v4 A_llist_a_llist_prod_llist$) (?v5 A_llist_a_llist_prod$)) (=> (and (fun_app$i (member$ ?v5) (lset$ ?v4)) (fun_app$bw (fun_app$bx ?v2 ?v5) ?v4)) (fun_app$bw (fun_app$bx ?v2 ?v5) (lCons$a ?v3 ?v4)))))) (fun_app$bw (fun_app$bx ?v2 ?v0) ?v1))) :named a381))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (=> (fun_app$i (member$ ?v0) (lset$ (ltl$a ?v1))) (fun_app$i (member$ ?v0) (lset$ ?v1)))) :named a382))
(assert (! (forall ((?v0 A$) (?v1 A_llist$)) (=> (member$b ?v0 (lset$a (ltl$ ?v1))) (member$b ?v0 (lset$a ?v1)))) :named a383))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (= (fun_app$i (member$ ?v0) (lset$ ?v1)) (fun_app$bw (lmember$ ?v0) ?v1))) :named a384))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$) (?v1 A_llist_a_llist_prod$)) (=> (and (not (fun_app$bw lnull$a ?v0)) (fun_app$i (member$ ?v1) (lset$ (ltl$a ?v0)))) (fun_app$i (member$ ?v1) (lset$ ?v0)))) :named a385))
(assert (! (forall ((?v0 A_llist$) (?v1 A$)) (=> (and (not (fun_app$l lnull$ ?v0)) (member$b ?v1 (lset$a (ltl$ ?v0)))) (member$b ?v1 (lset$a ?v0)))) :named a386))
(assert (! (forall ((?v0 A_llist_a_llist_prod_llist$)) (=> (not (fun_app$bw lnull$a ?v0)) (fun_app$i (member$ (lhd$a ?v0)) (lset$ ?v0)))) :named a387))
(assert (! (forall ((?v0 A_llist$)) (=> (not (fun_app$l lnull$ ?v0)) (member$b (lhd$ ?v0) (lset$a ?v0)))) :named a388))
(assert (! (forall ((?v0 A_llist$)) (= (lhd$ ?v0) (fun_app$c (fun_app$ck (case_llist$b undefined$a) uwb$) ?v0))) :named a389))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (= (lex_prod$ ?v0 ?v1) (collect$a (fun_app$al uncurry$d (fun_app$aj uncurry$c (fun_app$bq (uwo$ ?v0) ?v1)))))) :named a390))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (=> (fun_app$i (member$ ?v0) (lset$ ?v1)) (exists ((?v2 A_llist_a_llist_prod_llist$) (?v3 A_llist_a_llist_prod_llist$)) (and (= ?v1 (fun_app$ (lappend$ ?v2) (lCons$a ?v0 ?v3))) (and (lfinite$ ?v2) (not (fun_app$i (member$ ?v0) (lset$ ?v2)))))))) :named a391))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$)) (=> (fun_app$i (member$ ?v0) (lset$ ?v1)) (exists ((?v2 A_llist_a_llist_prod_llist$) (?v3 A_llist_a_llist_prod_llist$)) (and (= ?v1 (fun_app$ (lappend$ ?v2) (lCons$a ?v0 ?v3))) (lfinite$ ?v2))))) :named a392))
(assert (! (forall ((?v0 A_llist$)) (= (lfinite$a (ltl$ ?v0)) (lfinite$a ?v0))) :named a393))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist$) (?v3 A_llist$) (?v4 A_llist_a_llist_prod_set$) (?v5 A_llist_a_llist_prod_set$)) (= (member$a (pair$b (pair$ ?v0 ?v1) (pair$ ?v2 ?v3)) (lex_prod$ ?v4 ?v5)) (or (fun_app$i (member$ (pair$ ?v0 ?v2)) ?v4) (and (= ?v0 ?v2) (fun_app$i (member$ (pair$ ?v1 ?v3)) ?v5))))) :named a394))
(assert (! (forall ((?v0 A_llist$)) (=> (fun_app$l lnull$ ?v0) (lfinite$a ?v0))) :named a395))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist_bool_fun$)) (=> (and (lfinite$a ?v0) (and (forall ((?v2 A_llist$)) (=> (fun_app$l lnull$ ?v2) (fun_app$l ?v1 ?v2))) (forall ((?v2 A_llist$)) (=> (and (lfinite$a ?v2) (and (not (fun_app$l lnull$ ?v2)) (fun_app$l ?v1 (ltl$ ?v2)))) (fun_app$l ?v1 ?v2))))) (fun_app$l ?v1 ?v0))) :named a396))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist$)) (= (fun_app$i (member$ ?v0) (lset$ (fun_app$ (lappend$ ?v1) ?v2))) (or (fun_app$i (member$ ?v0) (lset$ ?v1)) (and (lfinite$ ?v1) (fun_app$i (member$ ?v0) (lset$ ?v2)))))) :named a397))
(assert (! (forall ((?v0 A_llist_a_llist_prod_bool_fun$) (?v1 A_llist_a_llist_prod_bool_fun$)) (= (collect$ (fun_app$t (uwp$ ?v0) ?v1)) (sup$ (collect$ ?v0) (collect$ ?v1)))) :named a398))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (= (sup$ ?v0 ?v1) (collect$ (fun_app$s (uwq$ ?v0) ?v1)))) :named a399))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$) (?v3 A_a_bool_fun_fun$)) (=> (and (fun_app$l (fun_app$m ?v0 ?v1) ?v2) (forall ((?v4 A_llist$) (?v5 A_llist$)) (=> (fun_app$l (fun_app$m ?v0 ?v4) ?v5) (and (= (fun_app$l lnull$ ?v4) (fun_app$l lnull$ ?v5)) (=> (and (not (fun_app$l lnull$ ?v4)) (not (fun_app$l lnull$ ?v5))) (and (fun_app$k (fun_app$co ?v3 (lhd$ ?v4)) (lhd$ ?v5)) (fun_app$l (fun_app$m ?v0 (ltl$ ?v4)) (ltl$ ?v5)))))))) (fun_app$l (fun_app$m (llist_all2$ ?v3) ?v1) ?v2))) :named a400))
(assert (! (forall ((?v0 A_a_bool_fun_fun$) (?v1 A_llist$) (?v2 A_llist$)) (= (fun_app$l (fun_app$m (llist_all2$ ?v0) ?v1) ?v2) (and (= (fun_app$l lnull$ ?v1) (fun_app$l lnull$ ?v2)) (=> (and (not (fun_app$l lnull$ ?v1)) (not (fun_app$l lnull$ ?v2))) (and (fun_app$k (fun_app$co ?v0 (lhd$ ?v1)) (lhd$ ?v2)) (fun_app$l (fun_app$m (llist_all2$ ?v0) (ltl$ ?v1)) (ltl$ ?v2))))))) :named a401))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (=> (forall ((?v2 A_llist$) (?v3 A_llist$)) (=> (fun_app$i (member$ (pair$ ?v2 ?v3)) ?v0) (fun_app$i (member$ (pair$ ?v2 ?v3)) ?v1))) (fun_app$i (less_eq$ ?v0) ?v1))) :named a402))
(assert (! (forall ((?v0 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$) (?v1 A_llist_a_llist_prod_llist$) (?v2 A_llist_a_llist_prod_llist$) (?v3 A_llist_a_llist_prod_a_llist_a_llist_prod_bool_fun_fun$)) (=> (and (fun_app$bw (fun_app$by (llist_all2$a ?v0) ?v1) ?v2) (forall ((?v4 A_llist_a_llist_prod$) (?v5 A_llist_a_llist_prod$)) (=> (and (fun_app$i (member$ ?v4) (lset$ ?v1)) (and (fun_app$i (member$ ?v5) (lset$ ?v2)) (fun_app$h (fun_app$r ?v0 ?v4) ?v5))) (fun_app$h (fun_app$r ?v3 ?v4) ?v5)))) (fun_app$bw (fun_app$by (llist_all2$a ?v3) ?v1) ?v2))) :named a403))
(assert (! (forall ((?v0 A_llist$)) (less_eq$a (lset$a (ltl$ ?v0)) (lset$a ?v0))) :named a404))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_bool_fun$) (?v2 A_llist_a_llist_prod_bool_fun$)) (= (fun_app$i (less_eq$ ?v0) (collect$ (fun_app$t (uwr$ ?v1) ?v2))) (and (fun_app$i (less_eq$ ?v0) (collect$ ?v1)) (fun_app$i (less_eq$ ?v0) (collect$ ?v2))))) :named a405))
(assert (! (forall ((?v0 A_llist_a_llist_prod$) (?v1 A_llist_a_llist_prod_set$) (?v2 A_llist_a_llist_prod_set$) (?v3 A_llist_a_llist_prod_bool_fun$)) (=> (and (fun_app$i (member$ ?v0) ?v1) (fun_app$i (less_eq$ ?v1) (collect$ (fun_app$t (uws$ ?v2) ?v3)))) (fun_app$h ?v3 ?v0))) :named a406))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$) (?v2 A_llist_a_llist_prod_bool_fun$) (?v3 A_llist_a_llist_prod_bool_fun$)) (=> (and (fun_app$i (less_eq$ ?v0) ?v1) (forall ((?v4 A_llist_a_llist_prod$)) (=> (and (fun_app$i (member$ ?v4) ?v0) (fun_app$h ?v2 ?v4)) (fun_app$h ?v3 ?v4)))) (fun_app$i (less_eq$ (collect$ (fun_app$t (uws$ ?v0) ?v2))) (collect$ (fun_app$t (uws$ ?v1) ?v3))))) :named a407))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (= (fun_app$i (less_eq$ ?v0) ?v1) (fun_app$bk (less_eq$b (uui$ ?v0)) (uui$ ?v1)))) :named a408))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (= (fun_app$bk (less_eq$b (uui$ ?v0)) (uui$ ?v1)) (fun_app$i (less_eq$ ?v0) ?v1))) :named a409))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (= (less_eq$c (uvz$ ?v0) (uvz$ ?v1)) (fun_app$i (less_eq$ ?v0) ?v1))) :named a410))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$) (?v2 A_llist_a_llist_prod_set$) (?v3 A_llist$)) (=> (and (fun_app$i (member$ (pair$ ?v0 ?v1)) ?v2) (= ?v3 ?v1)) (fun_app$i (member$ (pair$ ?v0 ?v3)) ?v2))) :named a411))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_bool_fun$)) (fun_app$i (less_eq$ (collect$ (fun_app$t (uws$ ?v0) ?v1))) ?v0)) :named a412))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$) (?v2 A_llist_a_llist_prod_bool_fun$)) (=> (fun_app$i (less_eq$ ?v0) ?v1) (= (fun_app$i (less_eq$ ?v0) (collect$ (fun_app$t (uws$ ?v1) ?v2))) (forall ((?v3 A_llist_a_llist_prod$)) (=> (fun_app$i (member$ ?v3) ?v0) (fun_app$h ?v2 ?v3)))))) :named a413))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$) (?v1 A_llist_a_llist_bool_fun_fun$)) (=> (less_eq$c ?v0 ?v1) (fun_app$i (less_eq$ (collect$ (fun_app$ad uncurry$a ?v0))) (collect$ (fun_app$ad uncurry$a ?v1))))) :named a414))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (=> (and (fun_app$i (less_eq$ ?v0) (collect$ (fun_app$ad uncurry$a (in_rel$ ?v1)))) (=> (fun_app$i (less_eq$ ?v0) ?v1) false)) false)) :named a415))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist$) (?v2 A_llist$)) (! (= (fun_app$l (fun_app$m (in_rel$ ?v0) ?v1) ?v2) (fun_app$i (member$ (pair$ ?v1 ?v2)) ?v0)) :pattern ((fun_app$l (fun_app$m (in_rel$ ?v0) ?v1) ?v2)))) :named a416))
(assert (! (forall ((?v0 A_llist_a_llist_bool_fun_fun$)) (= (in_rel$ (collect$ (fun_app$ad uncurry$a ?v0))) ?v0)) :named a417))
(assert (! (forall ((?v0 A_llist_a_llist_prod_set$) (?v1 A_llist_a_llist_prod_set$)) (=> (fun_app$i (less_eq$ ?v0) ?v1) (fun_app$i (less_eq$ ?v0) (collect$ (fun_app$ad uncurry$a (in_rel$ ?v1)))))) :named a418))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist_a_llist_prod_a_llist_fun$) (?v2 A_llist_a_llist_prod$) (?v3 A_llist$) (?v4 A_llist_a_llist_prod_a_llist_fun$) (?v5 A_llist_a_llist_prod_set$)) (=> (and (= ?v0 (fun_app$cp ?v1 ?v2)) (and (= ?v3 (fun_app$cp ?v4 ?v2)) (fun_app$i (member$ ?v2) ?v5))) (fun_app$i (member$ (pair$ ?v0 ?v3)) (image2$ ?v5 ?v1 ?v4)))) :named a419))
(assert (! (forall ((?v0 A_llist$) (?v1 A_llist$)) (= (the$ (fun_app$ad uncurry$a (fun_app$aa (uwt$ ?v0) ?v1))) (pair$ ?v0 ?v1))) :named a420))
(check-sat)