%   ORIGINAL: h4/fmapal/bt__to__orl__ac0_c1
% Assm: HL_TRUTH: T
% Assm: HL_FALSITY: ~F
% Assm: HL_BOOL_CASES: !t. (t <=> T) \/ (t <=> F)
% Assm: HL_EXT: !f g. (!x. f x = g x) ==> f = g
% Assm: h4/fmapal/bt__to__orl__ac__tupled__primitive: h4/fmapal/bt__to__orl__ac__tupled = h4/relation/WFREC (h4/min/_40 (\R. h4/relation/WF R)) (\bt__to__orl__ac__tupled a. h4/pair/pair__CASE a (\cmp v1. h4/pair/pair__CASE v1 (\v2 m. h4/enumeral/bt__CASE v2 (h4/combin/I m) (\l v5 r. h4/pair/pair__CASE v5 (\x y. h4/combin/I (h4/fmapal/bt__to__orl__ub__ac cmp l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ac cmp x r m))))))))
% Assm: h4/fmapal/bt__to__orl__lb__ac0_c1: !y x r m lb l cmp. h4/fmapal/bt__to__orl__lb__ac cmp lb (h4/enumeral/node l (h4/pair/_2C x y) r) m = h4/bool/COND (h4/toto/apto cmp lb x = h4/toto/LESS) (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ac cmp x r m))) (h4/fmapal/bt__to__orl__lb__ac cmp lb r m)
% Assm: h4/fmapal/bt__to__orl__lb__ac__curried: !x3 x2 x1 x. h4/fmapal/bt__to__orl__lb__ac x x1 x2 x3 = h4/fmapal/bt__to__orl__lb__ac__tupled (h4/pair/_2C x (h4/pair/_2C x1 (h4/pair/_2C x2 x3)))
% Assm: h4/fmapal/bt__to__orl__ac__curried: !x2 x1 x. h4/fmapal/bt__to__orl__ac x x1 x2 = h4/fmapal/bt__to__orl__ac__tupled (h4/pair/_2C x (h4/pair/_2C x1 x2))
% Assm: h4/fmapal/bt__to__orl__ac0_c0: !m cmp. h4/fmapal/bt__to__orl__ac cmp h4/enumeral/nt m = m
% Assm: h4/fmapal/bt__to__orl__ub__ac0_c1: !y x ub r m l cmp. h4/fmapal/bt__to__orl__ub__ac cmp (h4/enumeral/node l (h4/pair/_2C x y) r) ub m = h4/bool/COND (h4/toto/apto cmp x ub = h4/toto/LESS) (h4/fmapal/bt__to__orl__ub__ac cmp l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))) (h4/fmapal/bt__to__orl__ub__ac cmp l ub m)
% Assm: h4/bool/EQ__SYM__EQ: !y x. x = y <=> y = x
% Assm: h4/fmapal/bt__to__orl__ub__ac__curried: !x3 x2 x1 x. h4/fmapal/bt__to__orl__ub__ac x x1 x2 x3 = h4/fmapal/bt__to__orl__ub__ac__tupled (h4/pair/_2C x (h4/pair/_2C x1 (h4/pair/_2C x2 x3)))
% Assm: h4/bool/SELECT__AX: !x P. P x ==> P (h4/min/_40 P)
% Assm: h4/combin/I__THM: !x. h4/combin/I x = x
% Assm: h4/pair/pair__case__thm: !y x f. h4/pair/pair__CASE (h4/pair/_2C x y) f = f x y
% Assm: h4/relation/WFREC__COROLLARY: !f R M. f = h4/relation/WFREC R M ==> h4/relation/WF R ==> (!x. f x = M (h4/relation/RESTRICT f R x) x)
% Assm: h4/enumeral/bt__case__def_c0: !v f. h4/enumeral/bt__CASE h4/enumeral/nt v f = v
% Assm: h4/enumeral/bt__case__def_c1: !v f a2 a1 a0. h4/enumeral/bt__CASE (h4/enumeral/node a0 a1 a2) v f = f a0 a1 a2
% Assm: h4/fmapal/bt__to__orl__ub__ac0_c0: !ub m cmp. h4/fmapal/bt__to__orl__ub__ac cmp h4/enumeral/nt ub m = m
% Assm: h4/fmapal/bt__to__orl__lb__ac0_c0: !m lb cmp. h4/fmapal/bt__to__orl__lb__ac cmp lb h4/enumeral/nt m = m
% Assm: h4/bool/TRUTH: T
% Assm: h4/fmapal/bt__to__orl__lb__ac__tupled__primitive: h4/fmapal/bt__to__orl__lb__ac__tupled = h4/relation/WFREC (h4/min/_40 (\R. h4/relation/WF R /\ (!y l m r x lb cmp. ~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> R (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C r m))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (h4/enumeral/node l (h4/pair/_2C x y) r) m)))) /\ (!y l m r x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS ==> R (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r m))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (h4/enumeral/node l (h4/pair/_2C x y) r) m)))))) (\bt__to__orl__lb__ac__tupled a. h4/pair/pair__CASE a (\cmp v1. h4/pair/pair__CASE v1 (\lb v3. h4/pair/pair__CASE v3 (\v4 m. h4/enumeral/bt__CASE v4 (h4/combin/I m) (\l v7 r. h4/pair/pair__CASE v7 (\x y. h4/combin/I (h4/bool/COND (h4/toto/apto cmp lb x = h4/toto/LESS) (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb l x (h4/list/CONS (h4/pair/_2C x y) (bt__to__orl__lb__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r m)))))) (bt__to__orl__lb__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C r m)))))))))))
% Assm: h4/bool/NOT__CLAUSES_c0: !t. ~ ~t <=> t
% Assm: h4/pair/UNCURRY__DEF: !y x f. h4/pair/UNCURRY f (h4/pair/_2C x y) = f x y
% Assm: h4/bool/EQ__CLAUSES_c1: !t. (t <=> T) <=> t
% Assm: h4/relation/WF__EMPTY__REL: h4/relation/WF h4/relation/EMPTY__REL
% Assm: h4/arithmetic/NOT__LESS: !n m. ~h4/prim__rec/_3C m n <=> h4/arithmetic/_3C_3D n m
% Assm: h4/bool/NOT__CLAUSES_c2: ~F <=> T
% Assm: h4/bool/FORALL__SIMP: !t. (!x. t) <=> t
% Assm: h4/arithmetic/ADD__ASSOC: !p n m. h4/arithmetic/_2B m (h4/arithmetic/_2B n p) = h4/arithmetic/_2B (h4/arithmetic/_2B m n) p
% Assm: h4/bool/IMP__F__EQ__F: !t. t ==> F <=> t <=> F
% Assm: h4/numeral/numeral__lte_c1: !n. h4/arithmetic/_3C_3D (h4/arithmetic/BIT1 n) h4/arithmetic/ZERO <=> F
% Assm: h4/arithmetic/ADD__MONO__LESS__EQ: !p n m. h4/arithmetic/_3C_3D (h4/arithmetic/_2B m n) (h4/arithmetic/_2B m p) <=> h4/arithmetic/_3C_3D n p
% Assm: h4/relation/inv__image__def: !f R. h4/relation/inv__image R f = (\x y. R (f x) (f y))
% Assm: h4/arithmetic/ADD__CLAUSES_c0: !m. h4/arithmetic/_2B h4/num/0 m = m
% Assm: h4/relation/WF__inv__image: !f R. h4/relation/WF R ==> h4/relation/WF (h4/relation/inv__image R f)
% Assm: h4/numeral/numeral__distrib_c1: !n. h4/arithmetic/_2B n h4/num/0 = n
% Assm: h4/arithmetic/ZERO__LESS__EQ: !n. h4/arithmetic/_3C_3D h4/num/0 n
% Assm: h4/arithmetic/MULT__CLAUSES_c2: !m. h4/arithmetic/_2A (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)) m = m
% Assm: h4/arithmetic/ADD__0: !m. h4/arithmetic/_2B m h4/num/0 = m
% Assm: h4/arithmetic/ADD__SYM: !n m. h4/arithmetic/_2B m n = h4/arithmetic/_2B n m
% Assm: h4/pair/SND0: !y x. h4/pair/SND (h4/pair/_2C x y) = y
% Assm: h4/pair/PAIR: !x. h4/pair/_2C (h4/pair/FST x) (h4/pair/SND x) = x
% Assm: h4/prim__rec/WF__LESS: h4/relation/WF h4/prim__rec/_3C
% Assm: h4/arithmetic/LESS__EQ__TRANS: !p n m. h4/arithmetic/_3C_3D m n /\ h4/arithmetic/_3C_3D n p ==> h4/arithmetic/_3C_3D m p
% Assm: h4/numeral/numeral__distrib_c27: !n. h4/arithmetic/_3C_3D (h4/arithmetic/NUMERAL n) h4/num/0 <=> h4/arithmetic/_3C_3D n h4/arithmetic/ZERO
% Assm: h4/arithmetic/ADD__COMM: !n m. h4/arithmetic/_2B m n = h4/arithmetic/_2B n m
% Assm: h4/bool/AND__IMP__INTRO: !t3 t2 t1. t1 ==> t2 ==> t3 <=> t1 /\ t2 ==> t3
% Assm: h4/enumeral/bt__size__def_c1: !f a2 a1 a0. h4/enumeral/bt__size f (h4/enumeral/node a0 a1 a2) = h4/arithmetic/_2B (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)) (h4/arithmetic/_2B (h4/enumeral/bt__size f a0) (h4/arithmetic/_2B (f a1) (h4/enumeral/bt__size f a2)))
% Assm: h4/bool/IMP__CONG: !y_27 y x_27 x. (x <=> x_27) /\ (x_27 ==> (y <=> y_27)) ==> (x ==> y <=> x_27 ==> y_27)
% Assm: h4/bool/IMP__CLAUSES_c1: !t. t ==> T <=> T
% Assm: h4/fmapal/bt__to__orl__ub__ac__tupled__primitive: h4/fmapal/bt__to__orl__ub__ac__tupled = h4/relation/WFREC (h4/min/_40 (\R. h4/relation/WF R /\ (!r y m l ub x cmp. ~(h4/toto/apto cmp x ub = h4/toto/LESS) ==> R (h4/pair/_2C cmp (h4/pair/_2C l (h4/pair/_2C ub m))) (h4/pair/_2C cmp (h4/pair/_2C (h4/enumeral/node l (h4/pair/_2C x y) r) (h4/pair/_2C ub m)))) /\ (!m r y l ub x cmp. h4/toto/apto cmp x ub = h4/toto/LESS ==> R (h4/pair/_2C cmp (h4/pair/_2C l (h4/pair/_2C x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))))) (h4/pair/_2C cmp (h4/pair/_2C (h4/enumeral/node l (h4/pair/_2C x y) r) (h4/pair/_2C ub m)))))) (\bt__to__orl__ub__ac__tupled a. h4/pair/pair__CASE a (\cmp v1. h4/pair/pair__CASE v1 (\v2 v3. h4/pair/pair__CASE v3 (\ub m. h4/enumeral/bt__CASE v2 (h4/combin/I m) (\l v7 r. h4/pair/pair__CASE v7 (\x y. h4/combin/I (h4/bool/COND (h4/toto/apto cmp x ub = h4/toto/LESS) (bt__to__orl__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C l (h4/pair/_2C x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m)))))) (bt__to__orl__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C l (h4/pair/_2C ub m)))))))))))
% Assm: h4/pair/FST0: !y x. h4/pair/FST (h4/pair/_2C x y) = x
% Assm: h4/fmapal/bt__to__orl__lb__ub__ac__tupled__primitive: h4/fmapal/bt__to__orl__lb__ub__ac__tupled = h4/fmapal/bt__to__orl__lb__ub__ac__tupled__aux (h4/min/_40 (\R. h4/relation/WF R /\ (!y l m ub r x lb cmp. ~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> R (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C r (h4/pair/_2C ub m)))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (h4/enumeral/node l (h4/pair/_2C x y) r) (h4/pair/_2C ub m))))) /\ (!r y m l ub x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS /\ ~(h4/toto/apto cmp x ub = h4/toto/LESS) ==> R (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C l (h4/pair/_2C ub m)))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (h4/enumeral/node l (h4/pair/_2C x y) r) (h4/pair/_2C ub m))))) /\ (!m r y l ub x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS /\ h4/toto/apto cmp x ub = h4/toto/LESS ==> R (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C l (h4/pair/_2C x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac__tupled__aux R (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r (h4/pair/_2C ub m)))))))))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (h4/enumeral/node l (h4/pair/_2C x y) r) (h4/pair/_2C ub m))))) /\ (!y l m r ub x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS /\ h4/toto/apto cmp x ub = h4/toto/LESS ==> R (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r (h4/pair/_2C ub m)))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (h4/enumeral/node l (h4/pair/_2C x y) r) (h4/pair/_2C ub m)))))))
% Assm: h4/relation/RESTRICT__LEMMA: !z y f R. R y z ==> h4/relation/RESTRICT f R z y = f y
% Assm: h4/bool/COND__CONG: !y_27 y x_27 x Q P. (P <=> Q) /\ (Q ==> x = x_27) /\ (~Q ==> y = y_27) ==> h4/bool/COND P x y = h4/bool/COND Q x_27 y_27
% Assm: h4/fmapal/bt__to__orl__lb__ub__ac__ind: !P. (!cmp lb ub m. P cmp lb h4/enumeral/nt ub m) /\ (!cmp lb l x y r ub m. (~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> P cmp lb r ub m) /\ (h4/toto/apto cmp lb x = h4/toto/LESS /\ ~(h4/toto/apto cmp x ub = h4/toto/LESS) ==> P cmp lb l ub m) /\ (h4/toto/apto cmp lb x = h4/toto/LESS /\ h4/toto/apto cmp x ub = h4/toto/LESS ==> P cmp lb l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))) /\ (h4/toto/apto cmp lb x = h4/toto/LESS /\ h4/toto/apto cmp x ub = h4/toto/LESS ==> P cmp x r ub m) ==> P cmp lb (h4/enumeral/node l (h4/pair/_2C x y) r) ub m) ==> (!v v1 v2 v3 v4. P v v1 v2 v3 v4)
% Assm: h4/fmapal/bt__to__orl__lb__ub__ac0_c1: !y x ub r m lb l cmp. h4/fmapal/bt__to__orl__lb__ub__ac cmp lb (h4/enumeral/node l (h4/pair/_2C x y) r) ub m = h4/bool/COND (h4/toto/apto cmp lb x = h4/toto/LESS) (h4/bool/COND (h4/toto/apto cmp x ub = h4/toto/LESS) (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))) (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb l ub m)) (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb r ub m)
% Assm: h4/fmapal/bt__to__orl__ub__ac__ind: !P. (!cmp ub m. P cmp h4/enumeral/nt ub m) /\ (!cmp l x y r ub m. (~(h4/toto/apto cmp x ub = h4/toto/LESS) ==> P cmp l ub m) /\ (h4/toto/apto cmp x ub = h4/toto/LESS ==> P cmp l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))) ==> P cmp (h4/enumeral/node l (h4/pair/_2C x y) r) ub m) ==> (!v v1 v2 v3. P v v1 v2 v3)
% Assm: h4/fmapal/bt__to__orl__lb__tupled__primitive: h4/fmapal/bt__to__orl__lb__tupled = h4/relation/WFREC (h4/min/_40 (\R. h4/relation/WF R /\ (!y l r x lb cmp. ~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> R (h4/pair/_2C cmp (h4/pair/_2C lb r)) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/enumeral/node l (h4/pair/_2C x y) r)))) /\ (!y l r x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS ==> R (h4/pair/_2C cmp (h4/pair/_2C x r)) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/enumeral/node l (h4/pair/_2C x y) r)))))) (\bt__to__orl__lb__tupled a. h4/pair/pair__CASE a (\cmp v1. h4/pair/pair__CASE v1 (\lb v3. h4/enumeral/bt__CASE v3 (h4/combin/I h4/list/NIL) (\l v5 r. h4/pair/pair__CASE v5 (\x y. h4/combin/I (h4/bool/COND (h4/toto/apto cmp lb x = h4/toto/LESS) (h4/list/APPEND (h4/list/APPEND (h4/fmapal/bt__to__orl__lb__ub cmp lb l x) (h4/list/CONS (h4/pair/_2C x y) h4/list/NIL)) (bt__to__orl__lb__tupled (h4/pair/_2C cmp (h4/pair/_2C x r)))) (bt__to__orl__lb__tupled (h4/pair/_2C cmp (h4/pair/_2C lb r)))))))))
% Assm: h4/fmapal/bt__to__orl__lb__ac__ind: !P. (!cmp lb m. P cmp lb h4/enumeral/nt m) /\ (!cmp lb l x y r m. (~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> P cmp lb r m) /\ (h4/toto/apto cmp lb x = h4/toto/LESS ==> P cmp x r m) ==> P cmp lb (h4/enumeral/node l (h4/pair/_2C x y) r) m) ==> (!v v1 v2 v3. P v v1 v2 v3)
% Assm: h4/fmapal/bt__to__orl__ac__ind: !P. (!cmp m. P cmp h4/enumeral/nt m) /\ (!cmp l x y r m. P cmp (h4/enumeral/node l (h4/pair/_2C x y) r) m) ==> (!v v1 v2. P v v1 v2)
% Assm: h4/fmapal/bt__to__orl0_c1: !y x r l cmp. h4/fmapal/bt__to__orl cmp (h4/enumeral/node l (h4/pair/_2C x y) r) = h4/list/APPEND (h4/list/APPEND (h4/fmapal/bt__to__orl__ub cmp l x) (h4/list/CONS (h4/pair/_2C x y) h4/list/NIL)) (h4/fmapal/bt__to__orl__lb cmp x r)
% Assm: h4/fmapal/bt__to__orl__lb0_c1: !y x r lb l cmp. h4/fmapal/bt__to__orl__lb cmp lb (h4/enumeral/node l (h4/pair/_2C x y) r) = h4/bool/COND (h4/toto/apto cmp lb x = h4/toto/LESS) (h4/list/APPEND (h4/list/APPEND (h4/fmapal/bt__to__orl__lb__ub cmp lb l x) (h4/list/CONS (h4/pair/_2C x y) h4/list/NIL)) (h4/fmapal/bt__to__orl__lb cmp x r)) (h4/fmapal/bt__to__orl__lb cmp lb r)
% Assm: h4/fmapal/bt__to__orl__lb__ind: !P. (!cmp lb. P cmp lb h4/enumeral/nt) /\ (!cmp lb l x y r. (~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> P cmp lb r) /\ (h4/toto/apto cmp lb x = h4/toto/LESS ==> P cmp x r) ==> P cmp lb (h4/enumeral/node l (h4/pair/_2C x y) r)) ==> (!v v1 v2. P v v1 v2)
% Assm: h4/fmapal/bt__to__fmap__ind: !P. (!cmp. P cmp h4/enumeral/nt) /\ (!cmp l x v r. P cmp l /\ P cmp r ==> P cmp (h4/enumeral/node l (h4/pair/_2C x v) r)) ==> (!v v1. P v v1)
% Assm: h4/fmapal/bt__to__orl__ind: !P. (!cmp. P cmp h4/enumeral/nt) /\ (!cmp l x y r. P cmp (h4/enumeral/node l (h4/pair/_2C x y) r)) ==> (!v v1. P v v1)
% Assm: h4/sat/AND__INV__IMP: !A. A ==> ~A ==> F
% Assm: h4/sat/dc__eq: !r q p. (p <=> q <=> r) <=> (p \/ q \/ r) /\ (p \/ ~r \/ ~q) /\ (q \/ ~r \/ ~p) /\ (r \/ ~q \/ ~p)
% Assm: h4/sat/AND__INV2: !A. (~A ==> F) ==> (A ==> F) ==> F
% Assm: h4/sat/OR__DUAL2: !B A. ~(A \/ B) ==> F <=> (A ==> F) ==> ~B ==> F
% Assm: h4/sat/dc__neg: !q p. (p <=> ~q) <=> (p \/ q) /\ (~q \/ ~p)
% Assm: h4/sat/OR__DUAL3: !B A. ~(~A \/ B) ==> F <=> A ==> ~B ==> F
% Assm: h4/sat/NOT__NOT: !t. ~ ~t <=> t
% Assm: h4/fmapal/bt__to__orl__tupled__primitive: h4/fmapal/bt__to__orl__tupled = h4/relation/WFREC (h4/min/_40 (\R. h4/relation/WF R)) (\bt__to__orl__tupled a. h4/pair/pair__CASE a (\cmp v1. h4/enumeral/bt__CASE v1 (h4/combin/I h4/list/NIL) (\l v3 r. h4/pair/pair__CASE v3 (\x y. h4/combin/I (h4/list/APPEND (h4/list/APPEND (h4/fmapal/bt__to__orl__ub cmp l x) (h4/list/CONS (h4/pair/_2C x y) h4/list/NIL)) (h4/fmapal/bt__to__orl__lb cmp x r))))))
% Assm: h4/fmapal/bt__to__orl__curried: !x1 x. h4/fmapal/bt__to__orl x x1 = h4/fmapal/bt__to__orl__tupled (h4/pair/_2C x x1)
% Assm: h4/bool/IMP__CLAUSES_c3: !t. t ==> t <=> T
% Assm: h4/bool/IMP__CLAUSES_c4: !t. t ==> F <=> ~t
% Assm: h4/bool/NOT__CLAUSES_c1: ~T <=> F
% Assm: h4/enumeral/bt__nchotomy: !bb. bb = h4/enumeral/nt \/ (?b a b0. bb = h4/enumeral/node b a b0)
% Assm: h4/relation/WF__INDUCTION__THM: !R. h4/relation/WF R ==> (!P. (!x. (!y. R y x ==> P y) ==> P x) ==> (!x. P x))
% Assm: h4/bool/FALSITY: !t. F ==> t
% Assm: h4/pair/ABS__PAIR__THM: !x. ?q r. x = h4/pair/_2C q r
% Assm: h4/fmapal/bt__to__orl__lb__ub__ac__tupled__AUX: !R. h4/fmapal/bt__to__orl__lb__ub__ac__tupled__aux R = h4/relation/WFREC R (\bt__to__orl__lb__ub__ac__tupled a. h4/pair/pair__CASE a (\cmp v1. h4/pair/pair__CASE v1 (\lb v3. h4/pair/pair__CASE v3 (\v4 v5. h4/pair/pair__CASE v5 (\ub m. h4/enumeral/bt__CASE v4 (h4/combin/I m) (\l v9 r. h4/pair/pair__CASE v9 (\x y. h4/combin/I (h4/bool/COND (h4/toto/apto cmp lb x = h4/toto/LESS) (h4/bool/COND (h4/toto/apto cmp x ub = h4/toto/LESS) (bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C l (h4/pair/_2C x (h4/list/CONS (h4/pair/_2C x y) (bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r (h4/pair/_2C ub m))))))))))) (bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C l (h4/pair/_2C ub m)))))) (bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C r (h4/pair/_2C ub m)))))))))))))
% Assm: h4/fmapal/bt__to__orl__lb__ub__ac__curried: !x4 x3 x2 x1 x. h4/fmapal/bt__to__orl__lb__ub__ac x x1 x2 x3 x4 = h4/fmapal/bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C x (h4/pair/_2C x1 (h4/pair/_2C x2 (h4/pair/_2C x3 x4))))
% Assm: h4/bool/EQ__EXPAND: !t2 t1. (t1 <=> t2) <=> t1 /\ t2 \/ ~t1 /\ ~t2
% Assm: h4/arithmetic/SUC__ONE__ADD: !n. h4/num/SUC n = h4/arithmetic/_2B (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)) n
% Assm: h4/arithmetic/LESS__EQ: !n m. h4/prim__rec/_3C m n <=> h4/arithmetic/_3C_3D (h4/num/SUC m) n
% Assm: h4/bool/DISJ__ASSOC: !C B A. A \/ B \/ C <=> (A \/ B) \/ C
% Assm: h4/bool/DE__MORGAN__THM_c0: !B A. ~(A /\ B) <=> ~A \/ ~B
% Assm: h4/bool/DE__MORGAN__THM_c1: !B A. ~(A \/ B) <=> ~A /\ ~B
% Assm: h4/bool/OR__CLAUSES_c2: !t. F \/ t <=> t
% Assm: h4/sat/dc__conj: !r q p. (p <=> q /\ r) <=> (p \/ ~q \/ ~r) /\ (q \/ ~p) /\ (r \/ ~p)
% Assm: h4/sat/dc__disj: !r q p. (p <=> q \/ r) <=> (p \/ ~q) /\ (p \/ ~r) /\ (q \/ r \/ ~p)
% Assm: h4/fmapal/bt__to__orl__lb__curried: !x2 x1 x. h4/fmapal/bt__to__orl__lb x x1 x2 = h4/fmapal/bt__to__orl__lb__tupled (h4/pair/_2C x (h4/pair/_2C x1 x2))
% Assm: h4/fmapal/bt__to__fmap__curried: !x1 x. h4/fmapal/FMAPAL x x1 = h4/fmapal/bt__to__fmap__tupled (h4/pair/_2C x x1)
% Assm: h4/fmapal/bt__FST__FDOM: !t cmp. h4/finite__map/FDOM (h4/fmapal/FMAPAL cmp t) = h4/enumeral/ENUMERAL cmp (h4/fmapal/bt__map h4/pair/FST t)
% Assm: h4/bool/DATATYPE__TAG__THM: !x. h4/bool/DATATYPE x <=> T
% Assm: h4/enumeral/node0: h4/enumeral/node = h4/enumeral/_20_40ind__typeenumeral1
% Assm: h4/enumeral/datatype__bt: !bt. h4/bool/DATATYPE (bt h4/enumeral/nt h4/enumeral/node)
% Assm: h4/fmapal/merge0_c2: !l2 l1 cmp b2 b1 a2 a1. h4/fmapal/merge cmp (h4/list/CONS (h4/pair/_2C a1 b1) l1) (h4/list/CONS (h4/pair/_2C a2 b2) l2) = h4/toto/cpn__CASE (h4/toto/apto cmp a1 a2) (h4/list/CONS (h4/pair/_2C a1 b1) (h4/fmapal/merge cmp l1 (h4/list/CONS (h4/pair/_2C a2 b2) l2))) (h4/list/CONS (h4/pair/_2C a1 b1) (h4/fmapal/merge cmp l1 l2)) (h4/list/CONS (h4/pair/_2C a2 b2) (h4/fmapal/merge cmp (h4/list/CONS (h4/pair/_2C a1 b1) l1) l2))
% Assm: h4/bool/IMP__ANTISYM__AX: !t2 t1. (t1 ==> t2) ==> (t2 ==> t1) ==> (t1 <=> t2)
% Assm: h4/bool/REFL__CLAUSE: !x. x = x <=> T
% Assm: h4/bool/EQ__CLAUSES_c0: !t. (T <=> t) <=> t
% Assm: h4/fmapal/bt__map0_c0: !f. h4/fmapal/bt__map f h4/enumeral/nt = h4/enumeral/nt
% Assm: h4/fmapal/bt__to__fmap__tupled__primitive: h4/fmapal/bt__to__fmap__tupled = h4/relation/WFREC (h4/min/_40 (\R. h4/relation/WF R /\ (!r v x l cmp. R (h4/pair/_2C cmp l) (h4/pair/_2C cmp (h4/enumeral/node l (h4/pair/_2C x v) r))) /\ (!v x l r cmp. R (h4/pair/_2C cmp r) (h4/pair/_2C cmp (h4/enumeral/node l (h4/pair/_2C x v) r))))) (\bt__to__fmap__tupled a. h4/pair/pair__CASE a (\cmp v2. h4/enumeral/bt__CASE v2 (h4/combin/I h4/finite__map/FEMPTY) (\l v4 r. h4/pair/pair__CASE v4 (\x v. h4/combin/I (h4/finite__map/FUNION (h4/finite__map/FUNION (h4/finite__map/DRESTRICT (bt__to__fmap__tupled (h4/pair/_2C cmp l)) (h4/pred__set/GSPEC (\y. h4/pair/_2C y (h4/toto/apto cmp y x = h4/toto/LESS)))) (h4/finite__map/FUPDATE h4/finite__map/FEMPTY (h4/pair/_2C x v))) (h4/finite__map/DRESTRICT (bt__to__fmap__tupled (h4/pair/_2C cmp r)) (h4/pred__set/GSPEC (\z. h4/pair/_2C z (h4/toto/apto cmp x z = h4/toto/LESS)))))))))
% Assm: h4/enumeral/bt__to__set_c1: !x r l cmp. h4/enumeral/ENUMERAL cmp (h4/enumeral/node l x r) = h4/pred__set/UNION (h4/pred__set/UNION (h4/pred__set/GSPEC (\y. h4/pair/_2C y (h4/bool/IN y (h4/enumeral/ENUMERAL cmp l) /\ h4/toto/apto cmp y x = h4/toto/LESS))) (h4/pred__set/INSERT x h4/pred__set/EMPTY)) (h4/pred__set/GSPEC (\z. h4/pair/_2C z (h4/bool/IN z (h4/enumeral/ENUMERAL cmp r) /\ h4/toto/apto cmp x z = h4/toto/LESS)))
% Assm: h4/enumeral/bt__to__set_c0: !cmp. h4/enumeral/ENUMERAL cmp h4/enumeral/nt = h4/pred__set/EMPTY
% Assm: h4/fmapal/bt__map0_c1: !x r l f. h4/fmapal/bt__map f (h4/enumeral/node l x r) = h4/enumeral/node (h4/fmapal/bt__map f l) (f x) (h4/fmapal/bt__map f r)
% Assm: h4/enumeral/bt__induction: !P. P h4/enumeral/nt /\ (!b b0. P b /\ P b0 ==> (!a. P (h4/enumeral/node b a b0))) ==> (!b. P b)
% Assm: h4/finite__map/FDOM__FUNION: !g f. h4/finite__map/FDOM (h4/finite__map/FUNION f g) = h4/pred__set/UNION (h4/finite__map/FDOM f) (h4/finite__map/FDOM g)
% Assm: h4/finite__map/FDOM__FUPDATE: !f b a. h4/finite__map/FDOM (h4/finite__map/FUPDATE f (h4/pair/_2C a b)) = h4/pred__set/INSERT a (h4/finite__map/FDOM f)
% Assm: h4/finite__map/FDOM__DRESTRICT: !r f. h4/finite__map/FDOM (h4/finite__map/DRESTRICT f r) = h4/pred__set/INTER (h4/finite__map/FDOM f) r
% Assm: h4/finite__map/FDOM__FEMPTY: h4/finite__map/FDOM h4/finite__map/FEMPTY = h4/pred__set/EMPTY
% Assm: h4/pred__set/IN__INTER: !x t s. h4/bool/IN x (h4/pred__set/INTER s t) <=> h4/bool/IN x s /\ h4/bool/IN x t
% Assm: h4/pred__set/GSPECIFICATION: !v f. h4/bool/IN v (h4/pred__set/GSPEC f) <=> (?x. h4/pair/_2C v T = f x)
% Assm: h4/pred__set/IN__UNION: !x t s. h4/bool/IN x (h4/pred__set/UNION s t) <=> h4/bool/IN x s \/ h4/bool/IN x t
% Assm: h4/pred__set/EXTENSION: !t s. s = t <=> (!x. h4/bool/IN x s <=> h4/bool/IN x t)
% Assm: h4/pair/PFORALL__THM: !P. (!x y. P x y) <=> $forall (h4/pair/UNCURRY (\x y. P x y))
% Assm: h4/pair/PAIR__EQ: !y x b a. h4/pair/_2C x y = h4/pair/_2C a b <=> x = a /\ y = b
% Assm: h4/bool/ETA__AX: !t. (\x. t x) = t
% Assm: h4/fmapal/merge__curried: !x2 x1 x. h4/fmapal/merge x x1 x2 = h4/fmapal/merge__tupled (h4/pair/_2C x (h4/pair/_2C x1 x2))
% Assm: h4/fmapal/merge__tupled__primitive: h4/fmapal/merge__tupled = h4/relation/WFREC (h4/min/_40 (\R. h4/relation/WF R /\ (!b2 b1 l2 l1 a2 a1 cmp. h4/toto/apto cmp a1 a2 = h4/toto/EQUAL ==> R (h4/pair/_2C cmp (h4/pair/_2C l1 l2)) (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) (h4/list/CONS (h4/pair/_2C a2 b2) l2)))) /\ (!b2 l2 l1 b1 a2 a1 cmp. h4/toto/apto cmp a1 a2 = h4/toto/GREATER ==> R (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) l2)) (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) (h4/list/CONS (h4/pair/_2C a2 b2) l2)))) /\ (!b1 l2 b2 l1 a2 a1 cmp. h4/toto/apto cmp a1 a2 = h4/toto/LESS ==> R (h4/pair/_2C cmp (h4/pair/_2C l1 (h4/list/CONS (h4/pair/_2C a2 b2) l2))) (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) (h4/list/CONS (h4/pair/_2C a2 b2) l2)))))) (\merge__tupled a. h4/pair/pair__CASE a (\cmp v1. h4/pair/pair__CASE v1 (\v2 l. h4/list/list__CASE v2 (h4/combin/I l) (\v6 l1. h4/list/list__CASE l (h4/combin/I (h4/list/CONS v6 l1)) (\v8 l2. h4/pair/pair__CASE v8 (\a2 b2. h4/pair/pair__CASE v6 (\a1 b1. h4/combin/I (h4/toto/cpn__CASE (h4/toto/apto cmp a1 a2) (h4/list/CONS (h4/pair/_2C a1 b1) (merge__tupled (h4/pair/_2C cmp (h4/pair/_2C l1 (h4/list/CONS (h4/pair/_2C a2 b2) l2))))) (h4/list/CONS (h4/pair/_2C a1 b1) (merge__tupled (h4/pair/_2C cmp (h4/pair/_2C l1 l2)))) (h4/list/CONS (h4/pair/_2C a2 b2) (merge__tupled (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) l2))))))))))))
% Assm: h4/toto/cpn__case__cong: !v2_27 v2 v1_27 v1 v0_27 v0 M_27 M. M = M_27 /\ (M_27 = h4/toto/LESS ==> v0 = v0_27) /\ (M_27 = h4/toto/EQUAL ==> v1 = v1_27) /\ (M_27 = h4/toto/GREATER ==> v2 = v2_27) ==> h4/toto/cpn__CASE M v0 v1 v2 = h4/toto/cpn__CASE M_27 v0_27 v1_27 v2_27
% Assm: h4/list/list__size__def_c1: !f a1 a0. h4/list/list__size f (h4/list/CONS a0 a1) = h4/arithmetic/_2B (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)) (h4/arithmetic/_2B (f a0) (h4/list/list__size f a1))
% Assm: h4/list/list__case__def_c1: !v f a1 a0. h4/list/list__CASE (h4/list/CONS a0 a1) v f = f a0 a1
% Assm: h4/list/list__case__def_c0: !v f. h4/list/list__CASE h4/list/NIL v f = v
% Assm: h4/numeral/numeral__add_c1: !n. h4/numeral/iZ (h4/arithmetic/_2B n h4/arithmetic/ZERO) = n
% Assm: h4/numeral/numeral__distrib_c21: !n. h4/prim__rec/_3C h4/num/0 (h4/arithmetic/NUMERAL n) <=> h4/prim__rec/_3C h4/arithmetic/ZERO n
% Assm: h4/numeral/numeral__add_c2: !n m. h4/numeral/iZ (h4/arithmetic/_2B (h4/arithmetic/BIT1 n) (h4/arithmetic/BIT1 m)) = h4/arithmetic/BIT2 (h4/numeral/iZ (h4/arithmetic/_2B n m))
% Assm: h4/numeral/numeral__distrib_c2: !n m. h4/arithmetic/_2B (h4/arithmetic/NUMERAL n) (h4/arithmetic/NUMERAL m) = h4/arithmetic/NUMERAL (h4/numeral/iZ (h4/arithmetic/_2B n m))
% Assm: h4/numeral/numeral__lt_c0: !n. h4/prim__rec/_3C h4/arithmetic/ZERO (h4/arithmetic/BIT1 n) <=> T
% Goal: !y x r m l cmp. h4/fmapal/bt__to__orl__ac cmp (h4/enumeral/node l (h4/pair/_2C x y) r) m = h4/fmapal/bt__to__orl__ub__ac cmp l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ac cmp x r m))
%   PROCESSED
% Assm [HLu_TRUTH]: T
% Assm [HLu_FALSITY]: ~F
% Assm [HLu_BOOLu_CASES]: !t. (t <=> T) \/ (t <=> F)
% Assm [HLu_EXT]: !f g. (!x. happ f x = happ g x) ==> f = g
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_acu_u_tupledu_u_primitive]: !_11. (!l cmp x r m y. happ (happ (happ (happ (happ (happ _11 l) cmp) x) r) m) y = h4/combin/I (h4/fmapal/bt__to__orl__ub__ac cmp l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ac cmp x r m)))) ==> (!_10. (!l cmp r m x. happ (happ (happ (happ (happ _10 l) cmp) r) m) x = happ (happ (happ (happ (happ _11 l) cmp) x) r) m) ==> (!_9. (!v5 l cmp m r. happ (happ (happ (happ (happ _9 v5) l) cmp) m) r = h4/pair/pair__CASE v5 (happ (happ (happ (happ _10 l) cmp) r) m)) ==> (!_8. (!l cmp m v5. happ (happ (happ (happ _8 l) cmp) m) v5 = happ (happ (happ (happ _9 v5) l) cmp) m) ==> (!_7. (!cmp m l. happ (happ (happ _7 cmp) m) l = happ (happ (happ _8 l) cmp) m) ==> (!_6. (!v2 cmp m. happ (happ (happ _6 v2) cmp) m = h4/enumeral/bt__CASE v2 (h4/combin/I m) (happ (happ _7 cmp) m)) ==> (!_5. (!cmp v2. happ (happ _5 cmp) v2 = happ (happ _6 v2) cmp) ==> (!_4. (!cmp v1. happ (happ _4 cmp) v1 = h4/pair/pair__CASE v1 (happ _5 cmp)) ==> (!_3. (!cmp. happ _3 cmp = happ _4 cmp) ==> (!_2. (!a. happ _2 a = h4/pair/pair__CASE a _3) ==> (!_1. (!bt__to__orl__ac__tupled. happ _1 bt__to__orl__ac__tupled = _2) ==> (!_0. (!R. happ _0 R <=> h4/relation/WF R) ==> h4/fmapal/bt__to__orl__ac__tupled = h4/relation/WFREC (h4/min/_40 _0) _1)))))))))))
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac0u_c1]: !y x r m lb l cmp. ?v. (v <=> h4/toto/apto cmp lb x = h4/toto/LESS) /\ h4/fmapal/bt__to__orl__lb__ac cmp lb (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) m = h4/bool/COND v (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ac cmp x r m))) (h4/fmapal/bt__to__orl__lb__ac cmp lb r m)
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_acu_u_curried]: !x3 x2 x1 x. h4/fmapal/bt__to__orl__lb__ac x x1 x2 x3 = happ h4/fmapal/bt__to__orl__lb__ac__tupled (h4/pair/_2C x (h4/pair/_2C x1 (h4/pair/_2C x2 x3)))
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_acu_u_curried]: !x2 x1 x. h4/fmapal/bt__to__orl__ac x x1 x2 = happ h4/fmapal/bt__to__orl__ac__tupled (h4/pair/_2C x (h4/pair/_2C x1 x2))
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_ac0u_c0]: !m cmp. h4/fmapal/bt__to__orl__ac cmp h4/enumeral/nt m = m
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac0u_c1]: !y x ub r m l cmp. ?v. (v <=> h4/toto/apto cmp x ub = h4/toto/LESS) /\ h4/fmapal/bt__to__orl__ub__ac cmp (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) ub m = h4/bool/COND v (h4/fmapal/bt__to__orl__ub__ac cmp l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))) (h4/fmapal/bt__to__orl__ub__ac cmp l ub m)
% Assm [h4s_bools_EQu_u_SYMu_u_EQ]: !y x. x = y <=> y = x
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_acu_u_curried]: !x3 x2 x1 x. h4/fmapal/bt__to__orl__ub__ac x x1 x2 x3 = happ h4/fmapal/bt__to__orl__ub__ac__tupled (h4/pair/_2C x (h4/pair/_2C x1 (h4/pair/_2C x2 x3)))
% Assm [h4s_bools_SELECTu_u_AX]: !x P. happ P x ==> happ P (h4/min/_40 P)
% Assm [h4s_combins_Iu_u_THM]: !x. h4/combin/I x = x
% Assm [h4s_pairs_pairu_u_caseu_u_thm]: !y x f. h4/pair/pair__CASE (h4/pair/_2C x y) f = happ (happ f x) y
% Assm [h4s_relations_WFRECu_u_COROLLARY]: !f R M. f = h4/relation/WFREC R M ==> h4/relation/WF R ==> (!x. happ f x = happ (happ M (h4/relation/RESTRICT f R x)) x)
% Assm [h4s_enumerals_btu_u_caseu_u_defu_c0]: !v f. h4/enumeral/bt__CASE h4/enumeral/nt v f = v
% Assm [h4s_enumerals_btu_u_caseu_u_defu_c1]: !v f a2 a1 a0. h4/enumeral/bt__CASE (happ (happ (happ h4/enumeral/node a0) a1) a2) v f = happ (happ (happ f a0) a1) a2
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac0u_c0]: !ub m cmp. h4/fmapal/bt__to__orl__ub__ac cmp h4/enumeral/nt ub m = m
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac0u_c0]: !m lb cmp. h4/fmapal/bt__to__orl__lb__ac cmp lb h4/enumeral/nt m = m
% Assm [h4s_bools_TRUTH]: T
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupledu_u_primitive]: !_13. (!l x bt__to__orl__lb__ac__tupled cmp lb r m y. ?v. (v <=> h4/toto/apto cmp lb x = h4/toto/LESS) /\ happ (happ (happ (happ (happ (happ (happ (happ _13 l) x) bt__to__orl__lb__ac__tupled) cmp) lb) r) m) y = h4/combin/I (h4/bool/COND v (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb l x (h4/list/CONS (h4/pair/_2C x y) (happ bt__to__orl__lb__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r m)))))) (happ bt__to__orl__lb__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C r m)))))) ==> (!_12. (!l bt__to__orl__lb__ac__tupled cmp lb r m x. happ (happ (happ (happ (happ (happ (happ _12 l) bt__to__orl__lb__ac__tupled) cmp) lb) r) m) x = happ (happ (happ (happ (happ (happ (happ _13 l) x) bt__to__orl__lb__ac__tupled) cmp) lb) r) m) ==> (!_11. (!v7 l bt__to__orl__lb__ac__tupled cmp lb m r. happ (happ (happ (happ (happ (happ (happ _11 v7) l) bt__to__orl__lb__ac__tupled) cmp) lb) m) r = h4/pair/pair__CASE v7 (happ (happ (happ (happ (happ (happ _12 l) bt__to__orl__lb__ac__tupled) cmp) lb) r) m)) ==> (!_10. (!l bt__to__orl__lb__ac__tupled cmp lb m v7. happ (happ (happ (happ (happ (happ _10 l) bt__to__orl__lb__ac__tupled) cmp) lb) m) v7 = happ (happ (happ (happ (happ (happ _11 v7) l) bt__to__orl__lb__ac__tupled) cmp) lb) m) ==> (!_9. (!bt__to__orl__lb__ac__tupled cmp lb m l. happ (happ (happ (happ (happ _9 bt__to__orl__lb__ac__tupled) cmp) lb) m) l = happ (happ (happ (happ (happ _10 l) bt__to__orl__lb__ac__tupled) cmp) lb) m) ==> (!_8. (!v4 bt__to__orl__lb__ac__tupled cmp lb m. happ (happ (happ (happ (happ _8 v4) bt__to__orl__lb__ac__tupled) cmp) lb) m = h4/enumeral/bt__CASE v4 (h4/combin/I m) (happ (happ (happ (happ _9 bt__to__orl__lb__ac__tupled) cmp) lb) m)) ==> (!_7. (!bt__to__orl__lb__ac__tupled cmp lb v4. happ (happ (happ (happ _7 bt__to__orl__lb__ac__tupled) cmp) lb) v4 = happ (happ (happ (happ _8 v4) bt__to__orl__lb__ac__tupled) cmp) lb) ==> (!_6. (!bt__to__orl__lb__ac__tupled cmp lb v3. happ (happ (happ (happ _6 bt__to__orl__lb__ac__tupled) cmp) lb) v3 = h4/pair/pair__CASE v3 (happ (happ (happ _7 bt__to__orl__lb__ac__tupled) cmp) lb)) ==> (!_5. (!bt__to__orl__lb__ac__tupled cmp lb. happ (happ (happ _5 bt__to__orl__lb__ac__tupled) cmp) lb = happ (happ (happ _6 bt__to__orl__lb__ac__tupled) cmp) lb) ==> (!_4. (!bt__to__orl__lb__ac__tupled cmp v1. happ (happ (happ _4 bt__to__orl__lb__ac__tupled) cmp) v1 = h4/pair/pair__CASE v1 (happ (happ _5 bt__to__orl__lb__ac__tupled) cmp)) ==> (!_3. (!bt__to__orl__lb__ac__tupled cmp. happ (happ _3 bt__to__orl__lb__ac__tupled) cmp = happ (happ _4 bt__to__orl__lb__ac__tupled) cmp) ==> (!_2. (!bt__to__orl__lb__ac__tupled a. happ (happ _2 bt__to__orl__lb__ac__tupled) a = h4/pair/pair__CASE a (happ _3 bt__to__orl__lb__ac__tupled)) ==> (!_1. (!bt__to__orl__lb__ac__tupled. happ _1 bt__to__orl__lb__ac__tupled = happ _2 bt__to__orl__lb__ac__tupled) ==> (!_0. (!R. happ _0 R <=> h4/relation/WF R /\ (!y l m r x lb cmp. ~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C r m)))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) m)))) /\ (!y l m r x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r m)))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) m))))) ==> h4/fmapal/bt__to__orl__lb__ac__tupled = h4/relation/WFREC (h4/min/_40 _0) _1)))))))))))))
% Assm [h4s_bools_NOTu_u_CLAUSESu_c0]: !t. ~ ~t <=> t
% Assm [h4s_pairs_UNCURRYu_u_DEF]: !y x f. happ (h4/pair/UNCURRY f) (h4/pair/_2C x y) = happ (happ f x) y
% Assm [h4s_bools_EQu_u_CLAUSESu_c1]: !t. (t <=> T) <=> t
% Assm [h4s_relations_WFu_u_EMPTYu_u_REL]: h4/relation/WF h4/relation/EMPTY__REL
% Assm [h4s_arithmetics_NOTu_u_LESS]: !n m. ~happ (happ h4/prim__rec/_3C m) n <=> h4/arithmetic/_3C_3D n m
% Assm [h4s_bools_NOTu_u_CLAUSESu_c2]: ~F <=> T
% Assm [h4s_bools_FORALLu_u_SIMP]: !t. (!x. t) <=> t
% Assm [h4s_arithmetics_ADDu_u_ASSOC]: !p n m. h4/arithmetic/_2B m (h4/arithmetic/_2B n p) = h4/arithmetic/_2B (h4/arithmetic/_2B m n) p
% Assm [h4s_bools_IMPu_u_Fu_u_EQu_u_F]: !t. t ==> F <=> t <=> F
% Assm [h4s_numerals_numeralu_u_lteu_c1]: !n. h4/arithmetic/_3C_3D (h4/arithmetic/BIT1 n) h4/arithmetic/ZERO <=> F
% Assm [h4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ]: !p n m. h4/arithmetic/_3C_3D (h4/arithmetic/_2B m n) (h4/arithmetic/_2B m p) <=> h4/arithmetic/_3C_3D n p
% Assm [h4s_relations_invu_u_imageu_u_def]: !f R x x'. happ (happ (h4/relation/inv__image R f) x) x' <=> happ (happ R (happ f x)) (happ f x')
% Assm [h4s_arithmetics_ADDu_u_CLAUSESu_c0]: !m. h4/arithmetic/_2B h4/num/0 m = m
% Assm [h4s_relations_WFu_u_invu_u_image]: !f R. h4/relation/WF R ==> h4/relation/WF (h4/relation/inv__image R f)
% Assm [h4s_numerals_numeralu_u_distribu_c1]: !n. h4/arithmetic/_2B n h4/num/0 = n
% Assm [h4s_arithmetics_ZEROu_u_LESSu_u_EQ]: !n. h4/arithmetic/_3C_3D h4/num/0 n
% Assm [h4s_arithmetics_MULTu_u_CLAUSESu_c2]: !m. h4/arithmetic/_2A (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)) m = m
% Assm [h4s_arithmetics_ADDu_u_0]: !m. h4/arithmetic/_2B m h4/num/0 = m
% Assm [h4s_arithmetics_ADDu_u_SYM]: !n m. h4/arithmetic/_2B m n = h4/arithmetic/_2B n m
% Assm [h4s_pairs_SND0]: !y x. h4/pair/SND (h4/pair/_2C x y) = y
% Assm [h4s_pairs_PAIR]: !x. h4/pair/_2C (happ h4/pair/FST x) (h4/pair/SND x) = x
% Assm [h4s_primu_u_recs_WFu_u_LESS]: h4/relation/WF h4/prim__rec/_3C
% Assm [h4s_arithmetics_LESSu_u_EQu_u_TRANS]: !p n m. h4/arithmetic/_3C_3D m n /\ h4/arithmetic/_3C_3D n p ==> h4/arithmetic/_3C_3D m p
% Assm [h4s_numerals_numeralu_u_distribu_c27]: !n. h4/arithmetic/_3C_3D (h4/arithmetic/NUMERAL n) h4/num/0 <=> h4/arithmetic/_3C_3D n h4/arithmetic/ZERO
% Assm [h4s_arithmetics_ADDu_u_COMM]: !n m. h4/arithmetic/_2B m n = h4/arithmetic/_2B n m
% Assm [h4s_bools_ANDu_u_IMPu_u_INTRO]: !t3 t2 t1. t1 ==> t2 ==> t3 <=> t1 /\ t2 ==> t3
% Assm [h4s_enumerals_btu_u_sizeu_u_defu_c1]: !f a2 a1 a0. h4/enumeral/bt__size f (happ (happ (happ h4/enumeral/node a0) a1) a2) = h4/arithmetic/_2B (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)) (h4/arithmetic/_2B (h4/enumeral/bt__size f a0) (h4/arithmetic/_2B (happ f a1) (h4/enumeral/bt__size f a2)))
% Assm [h4s_bools_IMPu_u_CONG]: !y_27 y x_27 x. (x <=> x_27) /\ (x_27 ==> (y <=> y_27)) ==> (x ==> y <=> x_27 ==> y_27)
% Assm [h4s_bools_IMPu_u_CLAUSESu_c1]: !t. t ==> T <=> T
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupledu_u_primitive]: !_13. (!x r bt__to__orl__ub__ac__tupled cmp l ub m y. ?v. (v <=> h4/toto/apto cmp x ub = h4/toto/LESS) /\ happ (happ (happ (happ (happ (happ (happ (happ _13 x) r) bt__to__orl__ub__ac__tupled) cmp) l) ub) m) y = h4/combin/I (h4/bool/COND v (happ bt__to__orl__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C l (h4/pair/_2C x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m)))))) (happ bt__to__orl__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C l (h4/pair/_2C ub m)))))) ==> (!_12. (!r bt__to__orl__ub__ac__tupled cmp l ub m x. happ (happ (happ (happ (happ (happ (happ _12 r) bt__to__orl__ub__ac__tupled) cmp) l) ub) m) x = happ (happ (happ (happ (happ (happ (happ _13 x) r) bt__to__orl__ub__ac__tupled) cmp) l) ub) m) ==> (!_11. (!v7 bt__to__orl__ub__ac__tupled cmp l ub m r. happ (happ (happ (happ (happ (happ (happ _11 v7) bt__to__orl__ub__ac__tupled) cmp) l) ub) m) r = h4/pair/pair__CASE v7 (happ (happ (happ (happ (happ (happ _12 r) bt__to__orl__ub__ac__tupled) cmp) l) ub) m)) ==> (!_10. (!bt__to__orl__ub__ac__tupled cmp l ub m v7. happ (happ (happ (happ (happ (happ _10 bt__to__orl__ub__ac__tupled) cmp) l) ub) m) v7 = happ (happ (happ (happ (happ (happ _11 v7) bt__to__orl__ub__ac__tupled) cmp) l) ub) m) ==> (!_9. (!bt__to__orl__ub__ac__tupled cmp ub m l. happ (happ (happ (happ (happ _9 bt__to__orl__ub__ac__tupled) cmp) ub) m) l = happ (happ (happ (happ (happ _10 bt__to__orl__ub__ac__tupled) cmp) l) ub) m) ==> (!_8. (!v2 bt__to__orl__ub__ac__tupled cmp ub m. happ (happ (happ (happ (happ _8 v2) bt__to__orl__ub__ac__tupled) cmp) ub) m = h4/enumeral/bt__CASE v2 (h4/combin/I m) (happ (happ (happ (happ _9 bt__to__orl__ub__ac__tupled) cmp) ub) m)) ==> (!_7. (!v2 bt__to__orl__ub__ac__tupled cmp ub. happ (happ (happ (happ _7 v2) bt__to__orl__ub__ac__tupled) cmp) ub = happ (happ (happ (happ _8 v2) bt__to__orl__ub__ac__tupled) cmp) ub) ==> (!_6. (!v2 bt__to__orl__ub__ac__tupled cmp v3. happ (happ (happ (happ _6 v2) bt__to__orl__ub__ac__tupled) cmp) v3 = h4/pair/pair__CASE v3 (happ (happ (happ _7 v2) bt__to__orl__ub__ac__tupled) cmp)) ==> (!_5. (!bt__to__orl__ub__ac__tupled cmp v2. happ (happ (happ _5 bt__to__orl__ub__ac__tupled) cmp) v2 = happ (happ (happ _6 v2) bt__to__orl__ub__ac__tupled) cmp) ==> (!_4. (!bt__to__orl__ub__ac__tupled cmp v1. happ (happ (happ _4 bt__to__orl__ub__ac__tupled) cmp) v1 = h4/pair/pair__CASE v1 (happ (happ _5 bt__to__orl__ub__ac__tupled) cmp)) ==> (!_3. (!bt__to__orl__ub__ac__tupled cmp. happ (happ _3 bt__to__orl__ub__ac__tupled) cmp = happ (happ _4 bt__to__orl__ub__ac__tupled) cmp) ==> (!_2. (!bt__to__orl__ub__ac__tupled a. happ (happ _2 bt__to__orl__ub__ac__tupled) a = h4/pair/pair__CASE a (happ _3 bt__to__orl__ub__ac__tupled)) ==> (!_1. (!bt__to__orl__ub__ac__tupled. happ _1 bt__to__orl__ub__ac__tupled = happ _2 bt__to__orl__ub__ac__tupled) ==> (!_0. (!R. happ _0 R <=> h4/relation/WF R /\ (!r y m l ub x cmp. ~(h4/toto/apto cmp x ub = h4/toto/LESS) ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C l (h4/pair/_2C ub m)))) (h4/pair/_2C cmp (h4/pair/_2C (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) (h4/pair/_2C ub m)))) /\ (!m r y l ub x cmp. h4/toto/apto cmp x ub = h4/toto/LESS ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C l (h4/pair/_2C x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m)))))) (h4/pair/_2C cmp (h4/pair/_2C (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) (h4/pair/_2C ub m))))) ==> h4/fmapal/bt__to__orl__ub__ac__tupled = h4/relation/WFREC (h4/min/_40 _0) _1)))))))))))))
% Assm [h4s_pairs_FST0]: !y x. happ h4/pair/FST (h4/pair/_2C x y) = x
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupledu_u_primitive]: !_0. (!R. happ _0 R <=> h4/relation/WF R /\ (!y l m ub r x lb cmp. ~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C r (h4/pair/_2C ub m))))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) (h4/pair/_2C ub m))))) /\ (!r y m l ub x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS /\ ~(h4/toto/apto cmp x ub = h4/toto/LESS) ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C l (h4/pair/_2C ub m))))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) (h4/pair/_2C ub m))))) /\ (!m r y l ub x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS /\ h4/toto/apto cmp x ub = h4/toto/LESS ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C l (h4/pair/_2C x (h4/list/CONS (h4/pair/_2C x y) (happ (h4/fmapal/bt__to__orl__lb__ub__ac__tupled__aux R) (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r (h4/pair/_2C ub m))))))))))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) (h4/pair/_2C ub m))))) /\ (!y l m r ub x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS /\ h4/toto/apto cmp x ub = h4/toto/LESS ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r (h4/pair/_2C ub m))))) (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) (h4/pair/_2C ub m)))))) ==> h4/fmapal/bt__to__orl__lb__ub__ac__tupled = h4/fmapal/bt__to__orl__lb__ub__ac__tupled__aux (h4/min/_40 _0)
% Assm [h4s_relations_RESTRICTu_u_LEMMA]: !z y f R. happ (happ R y) z ==> happ (h4/relation/RESTRICT f R z) y = happ f y
% Assm [h4s_bools_CONDu_u_CONG]: !y_27 y x_27 x Q P. (P <=> Q) /\ (Q ==> x = x_27) /\ (~Q ==> y = y_27) ==> h4/bool/COND P x y = h4/bool/COND Q x_27 y_27
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_ind]: !P. (!cmp lb ub m. happ (happ (happ (happ (happ P cmp) lb) h4/enumeral/nt) ub) m) /\ (!cmp lb l x y r ub m. (~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> happ (happ (happ (happ (happ P cmp) lb) r) ub) m) /\ (h4/toto/apto cmp lb x = h4/toto/LESS /\ ~(h4/toto/apto cmp x ub = h4/toto/LESS) ==> happ (happ (happ (happ (happ P cmp) lb) l) ub) m) /\ (h4/toto/apto cmp lb x = h4/toto/LESS /\ h4/toto/apto cmp x ub = h4/toto/LESS ==> happ (happ (happ (happ (happ P cmp) lb) l) x) (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))) /\ (h4/toto/apto cmp lb x = h4/toto/LESS /\ h4/toto/apto cmp x ub = h4/toto/LESS ==> happ (happ (happ (happ (happ P cmp) x) r) ub) m) ==> happ (happ (happ (happ (happ P cmp) lb) (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r)) ub) m) ==> (!v v1 v2 v3 v4. happ (happ (happ (happ (happ P v) v1) v2) v3) v4)
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac0u_c1]: !y x ub r m lb l cmp. ?v. (v <=> h4/toto/apto cmp x ub = h4/toto/LESS) /\ (?v'. (v' <=> h4/toto/apto cmp lb x = h4/toto/LESS) /\ h4/fmapal/bt__to__orl__lb__ub__ac cmp lb (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) ub m = h4/bool/COND v' (h4/bool/COND v (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))) (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb l ub m)) (h4/fmapal/bt__to__orl__lb__ub__ac cmp lb r ub m))
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_acu_u_ind]: !P. (!cmp ub m. happ (happ (happ (happ P cmp) h4/enumeral/nt) ub) m) /\ (!cmp l x y r ub m. (~(h4/toto/apto cmp x ub = h4/toto/LESS) ==> happ (happ (happ (happ P cmp) l) ub) m) /\ (h4/toto/apto cmp x ub = h4/toto/LESS ==> happ (happ (happ (happ P cmp) l) x) (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ub__ac cmp x r ub m))) ==> happ (happ (happ (happ P cmp) (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r)) ub) m) ==> (!v v1 v2 v3. happ (happ (happ (happ P v) v1) v2) v3)
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_tupledu_u_primitive]: !_11. (!l x bt__to__orl__lb__tupled cmp lb r y. ?v. (v <=> h4/toto/apto cmp lb x = h4/toto/LESS) /\ happ (happ (happ (happ (happ (happ (happ _11 l) x) bt__to__orl__lb__tupled) cmp) lb) r) y = h4/combin/I (h4/bool/COND v (h4/list/APPEND (h4/list/APPEND (h4/fmapal/bt__to__orl__lb__ub cmp lb l x) (h4/list/CONS (h4/pair/_2C x y) h4/list/NIL)) (happ bt__to__orl__lb__tupled (h4/pair/_2C cmp (h4/pair/_2C x r)))) (happ bt__to__orl__lb__tupled (h4/pair/_2C cmp (h4/pair/_2C lb r))))) ==> (!_10. (!l bt__to__orl__lb__tupled cmp lb r x. happ (happ (happ (happ (happ (happ _10 l) bt__to__orl__lb__tupled) cmp) lb) r) x = happ (happ (happ (happ (happ (happ _11 l) x) bt__to__orl__lb__tupled) cmp) lb) r) ==> (!_9. (!v5 l bt__to__orl__lb__tupled cmp lb r. happ (happ (happ (happ (happ (happ _9 v5) l) bt__to__orl__lb__tupled) cmp) lb) r = h4/pair/pair__CASE v5 (happ (happ (happ (happ (happ _10 l) bt__to__orl__lb__tupled) cmp) lb) r)) ==> (!_8. (!l bt__to__orl__lb__tupled cmp lb v5. happ (happ (happ (happ (happ _8 l) bt__to__orl__lb__tupled) cmp) lb) v5 = happ (happ (happ (happ (happ _9 v5) l) bt__to__orl__lb__tupled) cmp) lb) ==> (!_7. (!bt__to__orl__lb__tupled cmp lb l. happ (happ (happ (happ _7 bt__to__orl__lb__tupled) cmp) lb) l = happ (happ (happ (happ _8 l) bt__to__orl__lb__tupled) cmp) lb) ==> (!_6. (!bt__to__orl__lb__tupled cmp lb v3. happ (happ (happ (happ _6 bt__to__orl__lb__tupled) cmp) lb) v3 = h4/enumeral/bt__CASE v3 (h4/combin/I h4/list/NIL) (happ (happ (happ _7 bt__to__orl__lb__tupled) cmp) lb)) ==> (!_5. (!bt__to__orl__lb__tupled cmp lb. happ (happ (happ _5 bt__to__orl__lb__tupled) cmp) lb = happ (happ (happ _6 bt__to__orl__lb__tupled) cmp) lb) ==> (!_4. (!bt__to__orl__lb__tupled cmp v1. happ (happ (happ _4 bt__to__orl__lb__tupled) cmp) v1 = h4/pair/pair__CASE v1 (happ (happ _5 bt__to__orl__lb__tupled) cmp)) ==> (!_3. (!bt__to__orl__lb__tupled cmp. happ (happ _3 bt__to__orl__lb__tupled) cmp = happ (happ _4 bt__to__orl__lb__tupled) cmp) ==> (!_2. (!bt__to__orl__lb__tupled a. happ (happ _2 bt__to__orl__lb__tupled) a = h4/pair/pair__CASE a (happ _3 bt__to__orl__lb__tupled)) ==> (!_1. (!bt__to__orl__lb__tupled. happ _1 bt__to__orl__lb__tupled = happ _2 bt__to__orl__lb__tupled) ==> (!_0. (!R. happ _0 R <=> h4/relation/WF R /\ (!y l r x lb cmp. ~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C lb r))) (h4/pair/_2C cmp (h4/pair/_2C lb (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r)))) /\ (!y l r x lb cmp. h4/toto/apto cmp lb x = h4/toto/LESS ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C x r))) (h4/pair/_2C cmp (h4/pair/_2C lb (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r))))) ==> h4/fmapal/bt__to__orl__lb__tupled = h4/relation/WFREC (h4/min/_40 _0) _1)))))))))))
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_acu_u_ind]: !P. (!cmp lb m. happ (happ (happ (happ P cmp) lb) h4/enumeral/nt) m) /\ (!cmp lb l x y r m. (~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> happ (happ (happ (happ P cmp) lb) r) m) /\ (h4/toto/apto cmp lb x = h4/toto/LESS ==> happ (happ (happ (happ P cmp) x) r) m) ==> happ (happ (happ (happ P cmp) lb) (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r)) m) ==> (!v v1 v2 v3. happ (happ (happ (happ P v) v1) v2) v3)
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_acu_u_ind]: !P. (!cmp m. happ (happ (happ P cmp) h4/enumeral/nt) m) /\ (!cmp l x y r m. happ (happ (happ P cmp) (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r)) m) ==> (!v v1 v2. happ (happ (happ P v) v1) v2)
% Assm [h4s_fmapals_btu_u_tou_u_orl0u_c1]: !y x r l cmp. h4/fmapal/bt__to__orl cmp (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) = h4/list/APPEND (h4/list/APPEND (h4/fmapal/bt__to__orl__ub cmp l x) (h4/list/CONS (h4/pair/_2C x y) h4/list/NIL)) (h4/fmapal/bt__to__orl__lb cmp x r)
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lb0u_c1]: !y x r lb l cmp. ?v. (v <=> h4/toto/apto cmp lb x = h4/toto/LESS) /\ h4/fmapal/bt__to__orl__lb cmp lb (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) = h4/bool/COND v (h4/list/APPEND (h4/list/APPEND (h4/fmapal/bt__to__orl__lb__ub cmp lb l x) (h4/list/CONS (h4/pair/_2C x y) h4/list/NIL)) (h4/fmapal/bt__to__orl__lb cmp x r)) (h4/fmapal/bt__to__orl__lb cmp lb r)
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ind]: !P. (!cmp lb. happ (happ (happ P cmp) lb) h4/enumeral/nt) /\ (!cmp lb l x y r. (~(h4/toto/apto cmp lb x = h4/toto/LESS) ==> happ (happ (happ P cmp) lb) r) /\ (h4/toto/apto cmp lb x = h4/toto/LESS ==> happ (happ (happ P cmp) x) r) ==> happ (happ (happ P cmp) lb) (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r)) ==> (!v v1 v2. happ (happ (happ P v) v1) v2)
% Assm [h4s_fmapals_btu_u_tou_u_fmapu_u_ind]: !P. (!cmp. happ (happ P cmp) h4/enumeral/nt) /\ (!cmp l x v r. happ (happ P cmp) l /\ happ (happ P cmp) r ==> happ (happ P cmp) (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x v)) r)) ==> (!v v1. happ (happ P v) v1)
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_ind]: !P. (!cmp. happ (happ P cmp) h4/enumeral/nt) /\ (!cmp l x y r. happ (happ P cmp) (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r)) ==> (!v v1. happ (happ P v) v1)
% Assm [h4s_sats_ANDu_u_INVu_u_IMP]: !A. A ==> ~A ==> F
% Assm [h4s_sats_dcu_u_eq]: !r q p. (p <=> q <=> r) <=> (p \/ q \/ r) /\ (p \/ ~r \/ ~q) /\ (q \/ ~r \/ ~p) /\ (r \/ ~q \/ ~p)
% Assm [h4s_sats_ANDu_u_INV2]: !A. (~A ==> F) ==> (A ==> F) ==> F
% Assm [h4s_sats_ORu_u_DUAL2]: !B A. ~(A \/ B) ==> F <=> (A ==> F) ==> ~B ==> F
% Assm [h4s_sats_dcu_u_neg]: !q p. (p <=> ~q) <=> (p \/ q) /\ (~q \/ ~p)
% Assm [h4s_sats_ORu_u_DUAL3]: !B A. ~(~A \/ B) ==> F <=> A ==> ~B ==> F
% Assm [h4s_sats_NOTu_u_NOT]: !t. ~ ~t <=> t
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_tupledu_u_primitive]: !_9. (!l cmp x r y. happ (happ (happ (happ (happ _9 l) cmp) x) r) y = h4/combin/I (h4/list/APPEND (h4/list/APPEND (h4/fmapal/bt__to__orl__ub cmp l x) (h4/list/CONS (h4/pair/_2C x y) h4/list/NIL)) (h4/fmapal/bt__to__orl__lb cmp x r))) ==> (!_8. (!l cmp r x. happ (happ (happ (happ _8 l) cmp) r) x = happ (happ (happ (happ _9 l) cmp) x) r) ==> (!_7. (!v3 l cmp r. happ (happ (happ (happ _7 v3) l) cmp) r = h4/pair/pair__CASE v3 (happ (happ (happ _8 l) cmp) r)) ==> (!_6. (!l cmp v3. happ (happ (happ _6 l) cmp) v3 = happ (happ (happ _7 v3) l) cmp) ==> (!_5. (!cmp l. happ (happ _5 cmp) l = happ (happ _6 l) cmp) ==> (!_4. (!cmp v1. happ (happ _4 cmp) v1 = h4/enumeral/bt__CASE v1 (h4/combin/I h4/list/NIL) (happ _5 cmp)) ==> (!_3. (!cmp. happ _3 cmp = happ _4 cmp) ==> (!_2. (!a. happ _2 a = h4/pair/pair__CASE a _3) ==> (!_1. (!bt__to__orl__tupled. happ _1 bt__to__orl__tupled = _2) ==> (!_0. (!R. happ _0 R <=> h4/relation/WF R) ==> h4/fmapal/bt__to__orl__tupled = h4/relation/WFREC (h4/min/_40 _0) _1)))))))))
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_curried]: !x1 x. h4/fmapal/bt__to__orl x x1 = happ h4/fmapal/bt__to__orl__tupled (h4/pair/_2C x x1)
% Assm [h4s_bools_IMPu_u_CLAUSESu_c3]: !t. t ==> t <=> T
% Assm [h4s_bools_IMPu_u_CLAUSESu_c4]: !t. t ==> F <=> ~t
% Assm [h4s_bools_NOTu_u_CLAUSESu_c1]: ~T <=> F
% Assm [h4s_enumerals_btu_u_nchotomy]: !bb. bb = h4/enumeral/nt \/ (?b a b0. bb = happ (happ (happ h4/enumeral/node b) a) b0)
% Assm [h4s_relations_WFu_u_INDUCTIONu_u_THM]: !R. h4/relation/WF R ==> (!P. (!x. (!y. happ (happ R y) x ==> happ P y) ==> happ P x) ==> (!x. happ P x))
% Assm [h4s_bools_FALSITY]: !t. F ==> t
% Assm [h4s_pairs_ABSu_u_PAIRu_u_THM]: !x. ?q r. x = h4/pair/_2C q r
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupledu_u_AUX]: !_14. (!x l bt__to__orl__lb__ub__ac__tupled cmp lb r ub m y. ?v. (v <=> h4/toto/apto cmp x ub = h4/toto/LESS) /\ (?v'. (v' <=> h4/toto/apto cmp lb x = h4/toto/LESS) /\ happ (happ (happ (happ (happ (happ (happ (happ (happ _14 x) l) bt__to__orl__lb__ub__ac__tupled) cmp) lb) r) ub) m) y = h4/combin/I (h4/bool/COND v' (h4/bool/COND v (happ bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C l (h4/pair/_2C x (h4/list/CONS (h4/pair/_2C x y) (happ bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C x (h4/pair/_2C r (h4/pair/_2C ub m))))))))))) (happ bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C l (h4/pair/_2C ub m)))))) (happ bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C cmp (h4/pair/_2C lb (h4/pair/_2C r (h4/pair/_2C ub m)))))))) ==> (!_13. (!l bt__to__orl__lb__ub__ac__tupled cmp lb r ub m x. happ (happ (happ (happ (happ (happ (happ (happ _13 l) bt__to__orl__lb__ub__ac__tupled) cmp) lb) r) ub) m) x = happ (happ (happ (happ (happ (happ (happ (happ _14 x) l) bt__to__orl__lb__ub__ac__tupled) cmp) lb) r) ub) m) ==> (!_12. (!v9 l bt__to__orl__lb__ub__ac__tupled cmp lb ub m r. happ (happ (happ (happ (happ (happ (happ (happ _12 v9) l) bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub) m) r = h4/pair/pair__CASE v9 (happ (happ (happ (happ (happ (happ (happ _13 l) bt__to__orl__lb__ub__ac__tupled) cmp) lb) r) ub) m)) ==> (!_11. (!l bt__to__orl__lb__ub__ac__tupled cmp lb ub m v9. happ (happ (happ (happ (happ (happ (happ _11 l) bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub) m) v9 = happ (happ (happ (happ (happ (happ (happ _12 v9) l) bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub) m) ==> (!_10. (!bt__to__orl__lb__ub__ac__tupled cmp lb ub m l. happ (happ (happ (happ (happ (happ _10 bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub) m) l = happ (happ (happ (happ (happ (happ _11 l) bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub) m) ==> (!_9. (!v4 bt__to__orl__lb__ub__ac__tupled cmp lb ub m. happ (happ (happ (happ (happ (happ _9 v4) bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub) m = h4/enumeral/bt__CASE v4 (h4/combin/I m) (happ (happ (happ (happ (happ _10 bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub) m)) ==> (!_8. (!v4 bt__to__orl__lb__ub__ac__tupled cmp lb ub. happ (happ (happ (happ (happ _8 v4) bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub = happ (happ (happ (happ (happ _9 v4) bt__to__orl__lb__ub__ac__tupled) cmp) lb) ub) ==> (!_7. (!v4 bt__to__orl__lb__ub__ac__tupled cmp lb v5. happ (happ (happ (happ (happ _7 v4) bt__to__orl__lb__ub__ac__tupled) cmp) lb) v5 = h4/pair/pair__CASE v5 (happ (happ (happ (happ _8 v4) bt__to__orl__lb__ub__ac__tupled) cmp) lb)) ==> (!_6. (!bt__to__orl__lb__ub__ac__tupled cmp lb v4. happ (happ (happ (happ _6 bt__to__orl__lb__ub__ac__tupled) cmp) lb) v4 = happ (happ (happ (happ _7 v4) bt__to__orl__lb__ub__ac__tupled) cmp) lb) ==> (!_5. (!bt__to__orl__lb__ub__ac__tupled cmp lb v3. happ (happ (happ (happ _5 bt__to__orl__lb__ub__ac__tupled) cmp) lb) v3 = h4/pair/pair__CASE v3 (happ (happ (happ _6 bt__to__orl__lb__ub__ac__tupled) cmp) lb)) ==> (!_4. (!bt__to__orl__lb__ub__ac__tupled cmp lb. happ (happ (happ _4 bt__to__orl__lb__ub__ac__tupled) cmp) lb = happ (happ (happ _5 bt__to__orl__lb__ub__ac__tupled) cmp) lb) ==> (!_3. (!bt__to__orl__lb__ub__ac__tupled cmp v1. happ (happ (happ _3 bt__to__orl__lb__ub__ac__tupled) cmp) v1 = h4/pair/pair__CASE v1 (happ (happ _4 bt__to__orl__lb__ub__ac__tupled) cmp)) ==> (!_2. (!bt__to__orl__lb__ub__ac__tupled cmp. happ (happ _2 bt__to__orl__lb__ub__ac__tupled) cmp = happ (happ _3 bt__to__orl__lb__ub__ac__tupled) cmp) ==> (!_1. (!bt__to__orl__lb__ub__ac__tupled a. happ (happ _1 bt__to__orl__lb__ub__ac__tupled) a = h4/pair/pair__CASE a (happ _2 bt__to__orl__lb__ub__ac__tupled)) ==> (!_0. (!bt__to__orl__lb__ub__ac__tupled. happ _0 bt__to__orl__lb__ub__ac__tupled = happ _1 bt__to__orl__lb__ub__ac__tupled) ==> (!R. h4/fmapal/bt__to__orl__lb__ub__ac__tupled__aux R = h4/relation/WFREC R _0)))))))))))))))
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_curried]: !x4 x3 x2 x1 x. h4/fmapal/bt__to__orl__lb__ub__ac x x1 x2 x3 x4 = happ h4/fmapal/bt__to__orl__lb__ub__ac__tupled (h4/pair/_2C x (h4/pair/_2C x1 (h4/pair/_2C x2 (h4/pair/_2C x3 x4))))
% Assm [h4s_bools_EQu_u_EXPAND]: !t2 t1. (t1 <=> t2) <=> t1 /\ t2 \/ ~t1 /\ ~t2
% Assm [h4s_arithmetics_SUCu_u_ONEu_u_ADD]: !n. h4/num/SUC n = h4/arithmetic/_2B (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)) n
% Assm [h4s_arithmetics_LESSu_u_EQ]: !n m. happ (happ h4/prim__rec/_3C m) n <=> h4/arithmetic/_3C_3D (h4/num/SUC m) n
% Assm [h4s_bools_DISJu_u_ASSOC]: !C B A. A \/ B \/ C <=> (A \/ B) \/ C
% Assm [h4s_bools_DEu_u_MORGANu_u_THMu_c0]: !B A. ~(A /\ B) <=> ~A \/ ~B
% Assm [h4s_bools_DEu_u_MORGANu_u_THMu_c1]: !B A. ~(A \/ B) <=> ~A /\ ~B
% Assm [h4s_bools_ORu_u_CLAUSESu_c2]: !t. F \/ t <=> t
% Assm [h4s_sats_dcu_u_conj]: !r q p. (p <=> q /\ r) <=> (p \/ ~q \/ ~r) /\ (q \/ ~p) /\ (r \/ ~p)
% Assm [h4s_sats_dcu_u_disj]: !r q p. (p <=> q \/ r) <=> (p \/ ~q) /\ (p \/ ~r) /\ (q \/ r \/ ~p)
% Assm [h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_curried]: !x2 x1 x. h4/fmapal/bt__to__orl__lb x x1 x2 = happ h4/fmapal/bt__to__orl__lb__tupled (h4/pair/_2C x (h4/pair/_2C x1 x2))
% Assm [h4s_fmapals_btu_u_tou_u_fmapu_u_curried]: !x1 x. h4/fmapal/FMAPAL x x1 = happ h4/fmapal/bt__to__fmap__tupled (h4/pair/_2C x x1)
% Assm [h4s_fmapals_btu_u_FSTu_u_FDOM]: !t cmp. h4/finite__map/FDOM (h4/fmapal/FMAPAL cmp t) = h4/enumeral/ENUMERAL cmp (h4/fmapal/bt__map h4/pair/FST t)
% Assm [h4s_bools_DATATYPEu_u_TAGu_u_THM]: !x. h4/bool/DATATYPE x <=> T
% Assm [h4s_enumerals_node0]: h4/enumeral/node = h4/enumeral/_20_40ind__typeenumeral1
% Assm [h4s_enumerals_datatypeu_u_bt]: !bt. h4/bool/DATATYPE (happ (happ bt h4/enumeral/nt) h4/enumeral/node)
% Assm [h4s_fmapals_merge0u_c2]: !l2 l1 cmp b2 b1 a2 a1. h4/fmapal/merge cmp (h4/list/CONS (h4/pair/_2C a1 b1) l1) (h4/list/CONS (h4/pair/_2C a2 b2) l2) = h4/toto/cpn__CASE (h4/toto/apto cmp a1 a2) (h4/list/CONS (h4/pair/_2C a1 b1) (h4/fmapal/merge cmp l1 (h4/list/CONS (h4/pair/_2C a2 b2) l2))) (h4/list/CONS (h4/pair/_2C a1 b1) (h4/fmapal/merge cmp l1 l2)) (h4/list/CONS (h4/pair/_2C a2 b2) (h4/fmapal/merge cmp (h4/list/CONS (h4/pair/_2C a1 b1) l1) l2))
% Assm [h4s_bools_IMPu_u_ANTISYMu_u_AX]: !t2 t1. (t1 ==> t2) ==> (t2 ==> t1) ==> (t1 <=> t2)
% Assm [h4s_bools_REFLu_u_CLAUSE]: !x. x = x <=> T
% Assm [h4s_bools_EQu_u_CLAUSESu_c0]: !t. (T <=> t) <=> t
% Assm [h4s_fmapals_btu_u_map0u_c0]: !f. h4/fmapal/bt__map f h4/enumeral/nt = h4/enumeral/nt
% Assm [h4s_fmapals_btu_u_tou_u_fmapu_u_tupledu_u_primitive]: !_11. (!cmp x z. ?v. (v <=> h4/toto/apto cmp x z = h4/toto/LESS) /\ happ (happ (happ _11 cmp) x) z = h4/pair/_2C z v) ==> (!_10. (!cmp x y. ?v. (v <=> h4/toto/apto cmp y x = h4/toto/LESS) /\ happ (happ (happ _10 cmp) x) y = h4/pair/_2C y v) ==> (!_9. (!l bt__to__fmap__tupled r cmp x v. happ (happ (happ (happ (happ (happ _9 l) bt__to__fmap__tupled) r) cmp) x) v = h4/combin/I (h4/finite__map/FUNION (h4/finite__map/FUNION (h4/finite__map/DRESTRICT (happ bt__to__fmap__tupled (h4/pair/_2C cmp l)) (h4/pred__set/GSPEC (happ (happ _10 cmp) x))) (h4/finite__map/FUPDATE h4/finite__map/FEMPTY (h4/pair/_2C x v))) (h4/finite__map/DRESTRICT (happ bt__to__fmap__tupled (h4/pair/_2C cmp r)) (h4/pred__set/GSPEC (happ (happ _11 cmp) x))))) ==> (!_8. (!l bt__to__fmap__tupled r cmp x. happ (happ (happ (happ (happ _8 l) bt__to__fmap__tupled) r) cmp) x = happ (happ (happ (happ (happ _9 l) bt__to__fmap__tupled) r) cmp) x) ==> (!_7. (!v4 l bt__to__fmap__tupled cmp r. happ (happ (happ (happ (happ _7 v4) l) bt__to__fmap__tupled) cmp) r = h4/pair/pair__CASE v4 (happ (happ (happ (happ _8 l) bt__to__fmap__tupled) r) cmp)) ==> (!_6. (!l bt__to__fmap__tupled cmp v4. happ (happ (happ (happ _6 l) bt__to__fmap__tupled) cmp) v4 = happ (happ (happ (happ _7 v4) l) bt__to__fmap__tupled) cmp) ==> (!_5. (!bt__to__fmap__tupled cmp l. happ (happ (happ _5 bt__to__fmap__tupled) cmp) l = happ (happ (happ _6 l) bt__to__fmap__tupled) cmp) ==> (!_4. (!bt__to__fmap__tupled cmp v2. happ (happ (happ _4 bt__to__fmap__tupled) cmp) v2 = h4/enumeral/bt__CASE v2 (h4/combin/I h4/finite__map/FEMPTY) (happ (happ _5 bt__to__fmap__tupled) cmp)) ==> (!_3. (!bt__to__fmap__tupled cmp. happ (happ _3 bt__to__fmap__tupled) cmp = happ (happ _4 bt__to__fmap__tupled) cmp) ==> (!_2. (!bt__to__fmap__tupled a. happ (happ _2 bt__to__fmap__tupled) a = h4/pair/pair__CASE a (happ _3 bt__to__fmap__tupled)) ==> (!_1. (!bt__to__fmap__tupled. happ _1 bt__to__fmap__tupled = happ _2 bt__to__fmap__tupled) ==> (!_0. (!R. happ _0 R <=> h4/relation/WF R /\ (!r v x l cmp. happ (happ R (h4/pair/_2C cmp l)) (h4/pair/_2C cmp (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x v)) r))) /\ (!v x l r cmp. happ (happ R (h4/pair/_2C cmp r)) (h4/pair/_2C cmp (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x v)) r)))) ==> h4/fmapal/bt__to__fmap__tupled = h4/relation/WFREC (h4/min/_40 _0) _1)))))))))))
% Assm [h4s_enumerals_btu_u_tou_u_setu_c1]: !_1. (!r cmp x z. ?v. (v <=> h4/bool/IN z (h4/enumeral/ENUMERAL cmp r) /\ h4/toto/apto cmp x z = h4/toto/LESS) /\ happ (happ (happ (happ _1 r) cmp) x) z = h4/pair/_2C z v) ==> (!_0. (!l cmp x y. ?v. (v <=> h4/bool/IN y (h4/enumeral/ENUMERAL cmp l) /\ h4/toto/apto cmp y x = h4/toto/LESS) /\ happ (happ (happ (happ _0 l) cmp) x) y = h4/pair/_2C y v) ==> (!x r l cmp. h4/enumeral/ENUMERAL cmp (happ (happ (happ h4/enumeral/node l) x) r) = h4/pred__set/UNION (h4/pred__set/UNION (h4/pred__set/GSPEC (happ (happ (happ _0 l) cmp) x)) (h4/pred__set/INSERT x h4/pred__set/EMPTY)) (h4/pred__set/GSPEC (happ (happ (happ _1 r) cmp) x))))
% Assm [h4s_enumerals_btu_u_tou_u_setu_c0]: !cmp. h4/enumeral/ENUMERAL cmp h4/enumeral/nt = h4/pred__set/EMPTY
% Assm [h4s_fmapals_btu_u_map0u_c1]: !x r l f. h4/fmapal/bt__map f (happ (happ (happ h4/enumeral/node l) x) r) = happ (happ (happ h4/enumeral/node (h4/fmapal/bt__map f l)) (happ f x)) (h4/fmapal/bt__map f r)
% Assm [h4s_enumerals_btu_u_induction]: !P. happ P h4/enumeral/nt /\ (!b b0. happ P b /\ happ P b0 ==> (!a. happ P (happ (happ (happ h4/enumeral/node b) a) b0))) ==> (!b. happ P b)
% Assm [h4s_finiteu_u_maps_FDOMu_u_FUNION]: !g f. h4/finite__map/FDOM (h4/finite__map/FUNION f g) = h4/pred__set/UNION (h4/finite__map/FDOM f) (h4/finite__map/FDOM g)
% Assm [h4s_finiteu_u_maps_FDOMu_u_FUPDATE]: !f b a. h4/finite__map/FDOM (h4/finite__map/FUPDATE f (h4/pair/_2C a b)) = h4/pred__set/INSERT a (h4/finite__map/FDOM f)
% Assm [h4s_finiteu_u_maps_FDOMu_u_DRESTRICT]: !r f. h4/finite__map/FDOM (h4/finite__map/DRESTRICT f r) = h4/pred__set/INTER (h4/finite__map/FDOM f) r
% Assm [h4s_finiteu_u_maps_FDOMu_u_FEMPTY]: h4/finite__map/FDOM h4/finite__map/FEMPTY = h4/pred__set/EMPTY
% Assm [h4s_predu_u_sets_INu_u_INTER]: !x t s. h4/bool/IN x (h4/pred__set/INTER s t) <=> h4/bool/IN x s /\ h4/bool/IN x t
% Assm [h4s_predu_u_sets_GSPECIFICATION]: !v f. h4/bool/IN v (h4/pred__set/GSPEC f) <=> (?x. h4/pair/_2C v T = happ f x)
% Assm [h4s_predu_u_sets_INu_u_UNION]: !x t s. h4/bool/IN x (h4/pred__set/UNION s t) <=> h4/bool/IN x s \/ h4/bool/IN x t
% Assm [h4s_predu_u_sets_EXTENSION]: !t s. s = t <=> (!x. h4/bool/IN x s <=> h4/bool/IN x t)
% Assm [h4s_pairs_PFORALLu_u_THM]: !_1. (!P x y. happ (happ (happ _1 P) x) y <=> happ (happ P x) y) ==> (!_0. (!P x. happ (happ _0 P) x = happ (happ _1 P) x) ==> (!P. (!x y. happ (happ P x) y) <=> $forall (h4/pair/UNCURRY (happ _0 P))))
% Assm [h4s_pairs_PAIRu_u_EQ]: !y x b a. h4/pair/_2C x y = h4/pair/_2C a b <=> x = a /\ y = b
% Assm [h4s_bools_ETAu_u_AX]: !t x. happ t x = happ t x
% Assm [h4s_fmapals_mergeu_u_curried]: !x2 x1 x. h4/fmapal/merge x x1 x2 = happ h4/fmapal/merge__tupled (h4/pair/_2C x (h4/pair/_2C x1 x2))
% Assm [h4s_fmapals_mergeu_u_tupledu_u_primitive]: !_14. (!a2 b2 merge__tupled cmp a1 l1 l2 b1. happ (happ (happ (happ (happ (happ (happ (happ _14 a2) b2) merge__tupled) cmp) a1) l1) l2) b1 = h4/combin/I (h4/toto/cpn__CASE (h4/toto/apto cmp a1 a2) (h4/list/CONS (h4/pair/_2C a1 b1) (happ merge__tupled (h4/pair/_2C cmp (h4/pair/_2C l1 (h4/list/CONS (h4/pair/_2C a2 b2) l2))))) (h4/list/CONS (h4/pair/_2C a1 b1) (happ merge__tupled (h4/pair/_2C cmp (h4/pair/_2C l1 l2)))) (h4/list/CONS (h4/pair/_2C a2 b2) (happ merge__tupled (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) l2)))))) ==> (!_13. (!a2 b2 merge__tupled cmp l1 l2 a1. happ (happ (happ (happ (happ (happ (happ _13 a2) b2) merge__tupled) cmp) l1) l2) a1 = happ (happ (happ (happ (happ (happ (happ _14 a2) b2) merge__tupled) cmp) a1) l1) l2) ==> (!_12. (!v6 a2 merge__tupled cmp l1 l2 b2. happ (happ (happ (happ (happ (happ (happ _12 v6) a2) merge__tupled) cmp) l1) l2) b2 = h4/pair/pair__CASE v6 (happ (happ (happ (happ (happ (happ _13 a2) b2) merge__tupled) cmp) l1) l2)) ==> (!_11. (!v6 merge__tupled cmp l1 l2 a2. happ (happ (happ (happ (happ (happ _11 v6) merge__tupled) cmp) l1) l2) a2 = happ (happ (happ (happ (happ (happ _12 v6) a2) merge__tupled) cmp) l1) l2) ==> (!_10. (!v8 v6 merge__tupled cmp l1 l2. happ (happ (happ (happ (happ (happ _10 v8) v6) merge__tupled) cmp) l1) l2 = h4/pair/pair__CASE v8 (happ (happ (happ (happ (happ _11 v6) merge__tupled) cmp) l1) l2)) ==> (!_9. (!v6 merge__tupled cmp l1 v8. happ (happ (happ (happ (happ _9 v6) merge__tupled) cmp) l1) v8 = happ (happ (happ (happ (happ _10 v8) v6) merge__tupled) cmp) l1) ==> (!_8. (!l v6 merge__tupled cmp l1. happ (happ (happ (happ (happ _8 l) v6) merge__tupled) cmp) l1 = h4/list/list__CASE l (h4/combin/I (h4/list/CONS v6 l1)) (happ (happ (happ (happ _9 v6) merge__tupled) cmp) l1)) ==> (!_7. (!l merge__tupled cmp v6. happ (happ (happ (happ _7 l) merge__tupled) cmp) v6 = happ (happ (happ (happ _8 l) v6) merge__tupled) cmp) ==> (!_6. (!v2 merge__tupled cmp l. happ (happ (happ (happ _6 v2) merge__tupled) cmp) l = h4/list/list__CASE v2 (h4/combin/I l) (happ (happ (happ _7 l) merge__tupled) cmp)) ==> (!_5. (!merge__tupled cmp v2. happ (happ (happ _5 merge__tupled) cmp) v2 = happ (happ (happ _6 v2) merge__tupled) cmp) ==> (!_4. (!merge__tupled cmp v1. happ (happ (happ _4 merge__tupled) cmp) v1 = h4/pair/pair__CASE v1 (happ (happ _5 merge__tupled) cmp)) ==> (!_3. (!merge__tupled cmp. happ (happ _3 merge__tupled) cmp = happ (happ _4 merge__tupled) cmp) ==> (!_2. (!merge__tupled a. happ (happ _2 merge__tupled) a = h4/pair/pair__CASE a (happ _3 merge__tupled)) ==> (!_1. (!merge__tupled. happ _1 merge__tupled = happ _2 merge__tupled) ==> (!_0. (!R. happ _0 R <=> h4/relation/WF R /\ (!b2 b1 l2 l1 a2 a1 cmp. h4/toto/apto cmp a1 a2 = h4/toto/EQUAL ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C l1 l2))) (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) (h4/list/CONS (h4/pair/_2C a2 b2) l2)))) /\ (!b2 l2 l1 b1 a2 a1 cmp. h4/toto/apto cmp a1 a2 = h4/toto/GREATER ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) l2))) (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) (h4/list/CONS (h4/pair/_2C a2 b2) l2)))) /\ (!b1 l2 b2 l1 a2 a1 cmp. h4/toto/apto cmp a1 a2 = h4/toto/LESS ==> happ (happ R (h4/pair/_2C cmp (h4/pair/_2C l1 (h4/list/CONS (h4/pair/_2C a2 b2) l2)))) (h4/pair/_2C cmp (h4/pair/_2C (h4/list/CONS (h4/pair/_2C a1 b1) l1) (h4/list/CONS (h4/pair/_2C a2 b2) l2))))) ==> h4/fmapal/merge__tupled = h4/relation/WFREC (h4/min/_40 _0) _1))))))))))))))
% Assm [h4s_totos_cpnu_u_caseu_u_cong]: !v2_27 v2 v1_27 v1 v0_27 v0 M_27 M. M = M_27 /\ (M_27 = h4/toto/LESS ==> v0 = v0_27) /\ (M_27 = h4/toto/EQUAL ==> v1 = v1_27) /\ (M_27 = h4/toto/GREATER ==> v2 = v2_27) ==> h4/toto/cpn__CASE M v0 v1 v2 = h4/toto/cpn__CASE M_27 v0_27 v1_27 v2_27
% Assm [h4s_lists_listu_u_sizeu_u_defu_c1]: !f a1 a0. h4/list/list__size f (h4/list/CONS a0 a1) = h4/arithmetic/_2B (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)) (h4/arithmetic/_2B (happ f a0) (h4/list/list__size f a1))
% Assm [h4s_lists_listu_u_caseu_u_defu_c1]: !v f a1 a0. h4/list/list__CASE (h4/list/CONS a0 a1) v f = happ (happ f a0) a1
% Assm [h4s_lists_listu_u_caseu_u_defu_c0]: !v f. h4/list/list__CASE h4/list/NIL v f = v
% Assm [h4s_numerals_numeralu_u_addu_c1]: !n. h4/numeral/iZ (h4/arithmetic/_2B n h4/arithmetic/ZERO) = n
% Assm [h4s_numerals_numeralu_u_distribu_c21]: !n. happ (happ h4/prim__rec/_3C h4/num/0) (h4/arithmetic/NUMERAL n) <=> happ (happ h4/prim__rec/_3C h4/arithmetic/ZERO) n
% Assm [h4s_numerals_numeralu_u_addu_c2]: !n m. h4/numeral/iZ (h4/arithmetic/_2B (h4/arithmetic/BIT1 n) (h4/arithmetic/BIT1 m)) = h4/arithmetic/BIT2 (h4/numeral/iZ (h4/arithmetic/_2B n m))
% Assm [h4s_numerals_numeralu_u_distribu_c2]: !n m. h4/arithmetic/_2B (h4/arithmetic/NUMERAL n) (h4/arithmetic/NUMERAL m) = h4/arithmetic/NUMERAL (h4/numeral/iZ (h4/arithmetic/_2B n m))
% Assm [h4s_numerals_numeralu_u_ltu_c0]: !n. happ (happ h4/prim__rec/_3C h4/arithmetic/ZERO) (h4/arithmetic/BIT1 n) <=> T
% Goal: !y x r m l cmp. h4/fmapal/bt__to__orl__ac cmp (happ (happ (happ h4/enumeral/node l) (h4/pair/_2C x y)) r) m = h4/fmapal/bt__to__orl__ub__ac cmp l x (h4/list/CONS (h4/pair/_2C x y) (h4/fmapal/bt__to__orl__lb__ac cmp x r m))
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f))).
fof(aHLu_EXT, axiom, ![TV_Q1311780,TV_Q1311776]: ![V_f, V_g]: (![V_x]: s(TV_Q1311776,happ(s(t_fun(TV_Q1311780,TV_Q1311776),V_f),s(TV_Q1311780,V_x))) = s(TV_Q1311776,happ(s(t_fun(TV_Q1311780,TV_Q1311776),V_g),s(TV_Q1311780,V_x))) => s(t_fun(TV_Q1311780,TV_Q1311776),V_f) = s(t_fun(TV_Q1311780,TV_Q1311776),V_g))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_acu_u_tupledu_u_primitive, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_11]: (![V_l, V_cmp, V_x, V_r, V_m, V_y]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_11),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(TV_u_27b,V_y))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))) => ![V_uu_10]: (![V_l, V_cmp, V_r, V_m, V_x]: s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_10),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_11),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_9]: (![V_v5, V_l, V_cmp, V_m, V_r]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_9),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v5))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v5),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_10),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_uu_8]: (![V_l, V_cmp, V_m, V_v5]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v5))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_9),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v5))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_7]: (![V_cmp, V_m, V_l]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_6]: (![V_v2, V_cmp, V_m]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_6),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_uu_5]: (![V_cmp, V_v2]: s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_5),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))) = s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_6),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_4]: (![V_cmp, V_v1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_4),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v1),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_5),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_3]: (![V_cmp]: s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_3),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) = s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_4),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_2]: (![V_a]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_uu_2),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_a))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_a),s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_3))) => ![V_uu_1]: (![V_btu_u_tou_u_orlu_u_acu_u_tupled]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_acu_u_tupled))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_uu_2) => ![V_uu_0]: (![V_R]: s(t_bool,happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),t_bool),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R))) = s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R))) => s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_acu_u_tupled) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_relations_wfrec(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),h4s_mins_u_40(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),t_bool),V_uu_0))),s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1)))))))))))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac0u_c1, axiom, ![TV_u_27a,TV_u_27b]: ![V_y, V_x, V_r, V_m, V_lb, V_l, V_cmp]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_v),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_acu_u_curried, axiom, ![TV_u_27a,TV_u_27b]: ![V_x3, V_x2, V_x1, V_x]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_x),s(TV_u_27a,V_x1),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x3))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(TV_u_27a,V_x1),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x3)))))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_acu_u_curried, axiom, ![TV_u_27a,TV_u_27b]: ![V_x2, V_x1, V_x]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2)))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_ac0u_c0, axiom, ![TV_u_27a,TV_u_27b]: ![V_m, V_cmp]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac0u_c1, axiom, ![TV_u_27a,TV_u_27b]: ![V_y, V_x, V_ub, V_r, V_m, V_l, V_cmp]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_v),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))).
fof(ah4s_bools_EQu_u_SYMu_u_EQ, axiom, ![TV_u_27a]: ![V_y, V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_y) <=> s(TV_u_27a,V_y) = s(TV_u_27a,V_x))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_acu_u_curried, axiom, ![TV_u_27a,TV_u_27b]: ![V_x3, V_x2, V_x1, V_x]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1),s(TV_u_27a,V_x2),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x3))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x2),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x3)))))))))).
fof(ah4s_bools_SELECTu_u_AX, axiom, ![TV_u_27a]: ![V_x, V_P]: (p(s(t_bool,happ(s(t_fun(TV_u_27a,t_bool),V_P),s(TV_u_27a,V_x)))) => p(s(t_bool,happ(s(t_fun(TV_u_27a,t_bool),V_P),s(TV_u_27a,h4s_mins_u_40(s(t_fun(TV_u_27a,t_bool),V_P)))))))).
fof(ah4s_combins_Iu_u_THM, axiom, ![TV_u_27a]: ![V_x]: s(TV_u_27a,h4s_combins_i(s(TV_u_27a,V_x))) = s(TV_u_27a,V_x)).
fof(ah4s_pairs_pairu_u_caseu_u_thm, axiom, ![TV_u_27a,TV_u_27b,TV_u_27c]: ![V_y, V_x, V_f]: s(TV_u_27a,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27b,TV_u_27c),h4s_pairs_u_2c(s(TV_u_27b,V_x),s(TV_u_27c,V_y))),s(t_fun(TV_u_27b,t_fun(TV_u_27c,TV_u_27a)),V_f))) = s(TV_u_27a,happ(s(t_fun(TV_u_27c,TV_u_27a),happ(s(t_fun(TV_u_27b,t_fun(TV_u_27c,TV_u_27a)),V_f),s(TV_u_27b,V_x))),s(TV_u_27c,V_y)))).
fof(ah4s_relations_WFRECu_u_COROLLARY, axiom, ![TV_u_27b,TV_u_27a]: ![V_f, V_R, V_M]: (s(t_fun(TV_u_27a,TV_u_27b),V_f) = s(t_fun(TV_u_27a,TV_u_27b),h4s_relations_wfrec(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R),s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(TV_u_27a,TV_u_27b)),V_M))) => (p(s(t_bool,h4s_relations_wf(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R)))) => ![V_x]: s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(TV_u_27a,V_x))) = s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),happ(s(t_fun(t_fun(TV_u_27a,TV_u_27b),t_fun(TV_u_27a,TV_u_27b)),V_M),s(t_fun(TV_u_27a,TV_u_27b),h4s_relations_restrict(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R),s(TV_u_27a,V_x))))),s(TV_u_27a,V_x)))))).
fof(ah4s_enumerals_btu_u_caseu_u_defu_c0, axiom, ![TV_u_27a,TV_u_27b]: ![V_v, V_f]: s(TV_u_27b,h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(TV_u_27a),h4s_enumerals_nt),s(TV_u_27b,V_v),s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),TV_u_27b))),V_f))) = s(TV_u_27b,V_v)).
fof(ah4s_enumerals_btu_u_caseu_u_defu_c1, axiom, ![TV_u_27b,TV_u_27a]: ![V_v, V_f, V_a2, V_a1, V_a0]: s(TV_u_27b,h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(TV_u_27a),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(TV_u_27a),V_a0))),s(TV_u_27a,V_a1))),s(t_h4s_enumerals_bt(TV_u_27a),V_a2))),s(TV_u_27b,V_v),s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),TV_u_27b))),V_f))) = s(TV_u_27b,happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),TV_u_27b),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),TV_u_27b))),V_f),s(t_h4s_enumerals_bt(TV_u_27a),V_a0))),s(TV_u_27a,V_a1))),s(t_h4s_enumerals_bt(TV_u_27a),V_a2)))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac0u_c0, axiom, ![TV_u_27a,TV_u_27b]: ![V_ub, V_m, V_cmp]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac0u_c0, axiom, ![TV_u_27a,TV_u_27b]: ![V_m, V_lb, V_cmp]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)).
fof(ah4s_bools_TRUTH, axiom, p(s(t_bool,t))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupledu_u_primitive, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_13]: (![V_l, V_x, V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb, V_r, V_m, V_y]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_13),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_x))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(TV_u_27b,V_y))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_v),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))))))))) => ![V_uu_12]: (![V_l, V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb, V_r, V_m, V_x]: s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_12),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_13),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_x))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_11]: (![V_v7, V_l, V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb, V_m, V_r]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_11),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v7))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v7),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_12),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_uu_10]: (![V_l, V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb, V_m, V_v7]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_10),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v7))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_11),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v7))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_9]: (![V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb, V_m, V_l]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_9),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_10),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_8]: (![V_v4, V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb, V_m]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_9),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_uu_7]: (![V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb, V_v4]: s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))) = s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) => ![V_uu_6]: (![V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb, V_v3]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v3))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v3),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))))) => ![V_uu_5]: (![V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_lb]: s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) = s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) => ![V_uu_4]: (![V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp, V_v1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_v1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_v1),s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_3]: (![V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_cmp]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_2]: (![V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled, V_a]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_a))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_a),s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))))) => ![V_uu_1]: (![V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled))) => ![V_uu_0]: (![V_R]: (p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),t_bool),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),V_R)))) <=> (p(s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),V_R)))) & (![V_y, V_l, V_m, V_r, V_x, V_lb, V_cmp]: (~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))) & ![V_y, V_l, V_m, V_r, V_x, V_lb, V_cmp]: (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))))))))) => s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_acu_u_tupled) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_relations_wfrec(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),h4s_mins_u_40(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),t_bool),V_uu_0))),s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1)))))))))))))))))).
fof(ah4s_bools_NOTu_u_CLAUSESu_c0, axiom, ![V_t]: (~ (~ (p(s(t_bool,V_t)))) <=> p(s(t_bool,V_t)))).
fof(ah4s_pairs_UNCURRYu_u_DEF, axiom, ![TV_u_27c,TV_u_27a,TV_u_27b]: ![V_y, V_x, V_f]: s(TV_u_27c,happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),TV_u_27c),h4s_pairs_uncurry(s(t_fun(TV_u_27a,t_fun(TV_u_27b,TV_u_27c)),V_f))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))) = s(TV_u_27c,happ(s(t_fun(TV_u_27b,TV_u_27c),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,TV_u_27c)),V_f),s(TV_u_27a,V_x))),s(TV_u_27b,V_y)))).
fof(ah4s_bools_EQu_u_CLAUSESu_c1, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) <=> p(s(t_bool,V_t)))).
fof(ah4s_relations_WFu_u_EMPTYu_u_REL, axiom, ![TV_u_27a]: p(s(t_bool,h4s_relations_wf(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),h4s_relations_emptyu_u_rel))))).
fof(ah4s_arithmetics_NOTu_u_LESS, axiom, ![V_n, V_m]: (~ (p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,V_m))),s(t_h4s_nums_num,V_n))))) <=> p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_m)))))).
fof(ah4s_bools_NOTu_u_CLAUSESu_c2, axiom, (~ (p(s(t_bool,f))) <=> p(s(t_bool,t)))).
fof(ah4s_bools_FORALLu_u_SIMP, axiom, ![TV_u_27a]: ![V_t]: (![V_x]: p(s(t_bool,V_t)) <=> p(s(t_bool,V_t)))).
fof(ah4s_arithmetics_ADDu_u_ASSOC, axiom, ![V_p, V_n, V_m]: s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_p))))) = s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,V_n))),s(t_h4s_nums_num,V_p)))).
fof(ah4s_bools_IMPu_u_Fu_u_EQu_u_F, axiom, ![V_t]: ((p(s(t_bool,V_t)) => p(s(t_bool,f))) <=> s(t_bool,V_t) = s(t_bool,f))).
fof(ah4s_numerals_numeralu_u_lteu_c1, axiom, ![V_n]: s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,V_n))),s(t_h4s_nums_num,h4s_arithmetics_zero))) = s(t_bool,f)).
fof(ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ, axiom, ![V_p, V_n, V_m]: s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,V_n))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,V_p))))) = s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_p)))).
fof(ah4s_relations_invu_u_imageu_u_def, axiom, ![TV_u_27b,TV_u_27a]: ![V_f, V_R, V_x, V_xi_]: s(t_bool,happ(s(t_fun(TV_u_27a,t_bool),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),h4s_relations_invu_u_image(s(t_fun(TV_u_27b,t_fun(TV_u_27b,t_bool)),V_R),s(t_fun(TV_u_27a,TV_u_27b),V_f))),s(TV_u_27a,V_x))),s(TV_u_27a,V_xi_))) = s(t_bool,happ(s(t_fun(TV_u_27b,t_bool),happ(s(t_fun(TV_u_27b,t_fun(TV_u_27b,t_bool)),V_R),s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(TV_u_27a,V_x))))),s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(TV_u_27a,V_xi_)))))).
fof(ah4s_arithmetics_ADDu_u_CLAUSESu_c0, axiom, ![V_m]: s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,V_m))) = s(t_h4s_nums_num,V_m)).
fof(ah4s_relations_WFu_u_invu_u_image, axiom, ![TV_u_27a,TV_u_27b]: ![V_f, V_R]: (p(s(t_bool,h4s_relations_wf(s(t_fun(TV_u_27b,t_fun(TV_u_27b,t_bool)),V_R)))) => p(s(t_bool,h4s_relations_wf(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),h4s_relations_invu_u_image(s(t_fun(TV_u_27b,t_fun(TV_u_27b,t_bool)),V_R),s(t_fun(TV_u_27a,TV_u_27b),V_f)))))))).
fof(ah4s_numerals_numeralu_u_distribu_c1, axiom, ![V_n]: s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,h4s_nums_0))) = s(t_h4s_nums_num,V_n)).
fof(ah4s_arithmetics_ZEROu_u_LESSu_u_EQ, axiom, ![V_n]: p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,V_n))))).
fof(ah4s_arithmetics_MULTu_u_CLAUSESu_c2, axiom, ![V_m]: s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,V_m))) = s(t_h4s_nums_num,V_m)).
fof(ah4s_arithmetics_ADDu_u_0, axiom, ![V_m]: s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,h4s_nums_0))) = s(t_h4s_nums_num,V_m)).
fof(ah4s_arithmetics_ADDu_u_SYM, axiom, ![V_n, V_m]: s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,V_n))) = s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_m)))).
fof(ah4s_pairs_SND0, axiom, ![TV_u_27a,TV_u_27b]: ![V_y, V_x]: s(TV_u_27b,h4s_pairs_snd(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))) = s(TV_u_27b,V_y)).
fof(ah4s_pairs_PAIR, axiom, ![TV_u_27a,TV_u_27b]: ![V_x]: s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),TV_u_27a),h4s_pairs_fst),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_x))),s(TV_u_27b,h4s_pairs_snd(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_x))))) = s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_x)).
fof(ah4s_primu_u_recs_WFu_u_LESS, axiom, p(s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c))))).
fof(ah4s_arithmetics_LESSu_u_EQu_u_TRANS, axiom, ![V_p, V_n, V_m]: ((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,V_n)))) & p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_p))))) => p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,V_p)))))).
fof(ah4s_numerals_numeralu_u_distribu_c27, axiom, ![V_n]: s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,V_n))),s(t_h4s_nums_num,h4s_nums_0))) = s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,h4s_arithmetics_zero)))).
fof(ah4s_arithmetics_ADDu_u_COMM, axiom, ![V_n, V_m]: s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_m),s(t_h4s_nums_num,V_n))) = s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_m)))).
fof(ah4s_bools_ANDu_u_IMPu_u_INTRO, axiom, ![V_t3, V_t2, V_t1]: ((p(s(t_bool,V_t1)) => (p(s(t_bool,V_t2)) => p(s(t_bool,V_t3)))) <=> ((p(s(t_bool,V_t1)) & p(s(t_bool,V_t2))) => p(s(t_bool,V_t3))))).
fof(ah4s_enumerals_btu_u_sizeu_u_defu_c1, axiom, ![TV_u_27a]: ![V_f, V_a2, V_a1, V_a0]: s(t_h4s_nums_num,h4s_enumerals_btu_u_size(s(t_fun(TV_u_27a,t_h4s_nums_num),V_f),s(t_h4s_enumerals_bt(TV_u_27a),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(TV_u_27a),V_a0))),s(TV_u_27a,V_a1))),s(t_h4s_enumerals_bt(TV_u_27a),V_a2))))) = s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_enumerals_btu_u_size(s(t_fun(TV_u_27a,t_h4s_nums_num),V_f),s(t_h4s_enumerals_bt(TV_u_27a),V_a0))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(TV_u_27a,t_h4s_nums_num),V_f),s(TV_u_27a,V_a1))),s(t_h4s_nums_num,h4s_enumerals_btu_u_size(s(t_fun(TV_u_27a,t_h4s_nums_num),V_f),s(t_h4s_enumerals_bt(TV_u_27a),V_a2)))))))))).
fof(ah4s_bools_IMPu_u_CONG, axiom, ![V_yu_27, V_y, V_xu_27, V_x]: ((s(t_bool,V_x) = s(t_bool,V_xu_27) & (p(s(t_bool,V_xu_27)) => s(t_bool,V_y) = s(t_bool,V_yu_27))) => ((p(s(t_bool,V_x)) => p(s(t_bool,V_y))) <=> (p(s(t_bool,V_xu_27)) => p(s(t_bool,V_yu_27)))))).
fof(ah4s_bools_IMPu_u_CLAUSESu_c1, axiom, ![V_t]: ((p(s(t_bool,V_t)) => p(s(t_bool,t))) <=> p(s(t_bool,t)))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupledu_u_primitive, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_13]: (![V_x, V_r, V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_l, V_ub, V_m, V_y]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_13),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(TV_u_27b,V_y))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_v),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))))))))) => ![V_uu_12]: (![V_r, V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_l, V_ub, V_m, V_x]: s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_12),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_13),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_11]: (![V_v7, V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_l, V_ub, V_m, V_r]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_11),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v7))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v7),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_12),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_uu_10]: (![V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_l, V_ub, V_m, V_v7]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_10),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v7))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_11),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v7))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_9]: (![V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_ub, V_m, V_l]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_9),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_10),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_8]: (![V_v2, V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_ub, V_m]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_9),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_uu_7]: (![V_v2, V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_ub]: s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_ub))) = s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_ub))) => ![V_uu_6]: (![V_v2, V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_v3]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v3))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v3),s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_5]: (![V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_v2]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_4]: (![V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp, V_v1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_v1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_v1),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_3]: (![V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_cmp]: s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) = s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_2]: (![V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled, V_a]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_a))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_a),s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))))) => ![V_uu_1]: (![V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled))) => ![V_uu_0]: (![V_R]: (p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),t_bool),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),V_R)))) <=> (p(s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),V_R)))) & (![V_r, V_y, V_m, V_l, V_ub, V_x, V_cmp]: (~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))) & ![V_m, V_r, V_y, V_l, V_ub, V_x, V_cmp]: (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))))))))) => s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_acu_u_tupled) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_relations_wfrec(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),h4s_mins_u_40(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_bool)),t_bool),V_uu_0))),s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1)))))))))))))))))).
fof(ah4s_pairs_FST0, axiom, ![TV_u_27b,TV_u_27a]: ![V_y, V_x]: s(TV_u_27a,happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),TV_u_27a),h4s_pairs_fst),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))) = s(TV_u_27a,V_x)).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupledu_u_primitive, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_0]: (![V_R]: (p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),t_bool),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R)))) <=> (p(s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R)))) & (![V_y, V_l, V_m, V_ub, V_r, V_x, V_lb, V_cmp]: (~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))) & (![V_r, V_y, V_m, V_l, V_ub, V_x, V_lb, V_cmp]: ((s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) & ~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less))) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))) & (![V_m, V_r, V_y, V_l, V_ub, V_x, V_lb, V_cmp]: ((s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) & s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupledu_u_aux(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))))))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))) & ![V_y, V_l, V_m, V_r, V_ub, V_x, V_lb, V_cmp]: ((s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) & s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))))))))))))) => s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupledu_u_aux(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),h4s_mins_u_40(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),t_bool),V_uu_0))))))).
fof(ah4s_relations_RESTRICTu_u_LEMMA, axiom, ![TV_u_27b,TV_u_27a]: ![V_z, V_y, V_f, V_R]: (p(s(t_bool,happ(s(t_fun(TV_u_27a,t_bool),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R),s(TV_u_27a,V_y))),s(TV_u_27a,V_z)))) => s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),h4s_relations_restrict(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R),s(TV_u_27a,V_z))),s(TV_u_27a,V_y))) = s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(TV_u_27a,V_y))))).
fof(ah4s_bools_CONDu_u_CONG, axiom, ![TV_u_27a]: ![V_yu_27, V_y, V_xu_27, V_x, V_Q, V_P]: ((s(t_bool,V_P) = s(t_bool,V_Q) & ((p(s(t_bool,V_Q)) => s(TV_u_27a,V_x) = s(TV_u_27a,V_xu_27)) & (~ (p(s(t_bool,V_Q))) => s(TV_u_27a,V_y) = s(TV_u_27a,V_yu_27)))) => s(TV_u_27a,h4s_bools_cond(s(t_bool,V_P),s(TV_u_27a,V_x),s(TV_u_27a,V_y))) = s(TV_u_27a,h4s_bools_cond(s(t_bool,V_Q),s(TV_u_27a,V_xu_27),s(TV_u_27a,V_yu_27))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_ind, axiom, ![TV_u_27a,TV_u_27b]: ![V_P]: ((![V_cmp, V_lb, V_ub, V_m]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))) & ![V_cmp, V_lb, V_l, V_x, V_y, V_r, V_ub, V_m]: (((~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) & (((s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) & ~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less))) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) & (((s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) & s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_x))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))) & ((s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) & s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))) => ![V_v, V_v1, V_v2, V_v3, V_v4]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_v))),s(TV_u_27a,V_v1))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(TV_u_27a,V_v3))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4)))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac0u_c1, axiom, ![TV_u_27a,TV_u_27b]: ![V_y, V_x, V_ub, V_r, V_m, V_lb, V_l, V_cmp]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) & ?[V_vi_]: ((p(s(t_bool,V_vi_)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_vi_),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_v),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_acu_u_ind, axiom, ![TV_u_27a,TV_u_27b]: ![V_P]: ((![V_cmp, V_ub, V_m]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))) & ![V_cmp, V_l, V_x, V_y, V_r, V_ub, V_m]: (((~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) & (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_x))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))))) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))) => ![V_v, V_v1, V_v2, V_v3]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_v))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v1))),s(TV_u_27a,V_v2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v3)))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_tupledu_u_primitive, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_11]: (![V_l, V_x, V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp, V_lb, V_r, V_y]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_11),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_x))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27b,V_y))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_v),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_append(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_append(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ub(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_nil))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r)))))))))))) => ![V_uu_10]: (![V_l, V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp, V_lb, V_r, V_x]: s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_10),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_11),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(TV_u_27a,V_x))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) => ![V_uu_9]: (![V_v5, V_l, V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp, V_lb, V_r]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_9),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v5))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v5),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_10),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))) => ![V_uu_8]: (![V_l, V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp, V_lb, V_v5]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v5))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_9),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v5))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) => ![V_uu_7]: (![V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp, V_lb, V_l]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_7),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) => ![V_uu_6]: (![V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp, V_lb, V_v3]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v3))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v3),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_nil))),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_7),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))))) => ![V_uu_5]: (![V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp, V_lb]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) => ![V_uu_4]: (![V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp, V_v1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v1),s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_3]: (![V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_cmp]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_2]: (![V_btu_u_tou_u_orlu_u_lbu_u_tupled, V_a]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_a))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_a),s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))))) => ![V_uu_1]: (![V_btu_u_tou_u_orlu_u_lbu_u_tupled]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_tupled))) => ![V_uu_0]: (![V_R]: (p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),t_bool),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R)))) <=> (p(s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R)))) & (![V_y, V_l, V_r, V_x, V_lb, V_cmp]: (~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))))))))) & ![V_y, V_l, V_r, V_x, V_lb, V_cmp]: (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r)))))))))))))) => s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_tupled) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_relations_wfrec(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),h4s_mins_u_40(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),t_bool),V_uu_0))),s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1)))))))))))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_acu_u_ind, axiom, ![TV_u_27a,TV_u_27b]: ![V_P]: ((![V_cmp, V_lb, V_m]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))) & ![V_cmp, V_lb, V_l, V_x, V_y, V_r, V_m]: (((~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) & (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))) => p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))) => ![V_v, V_v1, V_v2, V_v3]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_v))),s(TV_u_27a,V_v1))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v3)))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_acu_u_ind, axiom, ![TV_u_27a,TV_u_27b]: ![V_P]: ((![V_cmp, V_m]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))) & ![V_cmp, V_l, V_x, V_y, V_r, V_m]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_v, V_v1, V_v2]: p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_v))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2)))))).
fof(ah4s_fmapals_btu_u_tou_u_orl0u_c1, axiom, ![TV_u_27a,TV_u_27b]: ![V_y, V_x, V_r, V_l, V_cmp]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orl(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_append(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_append(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ub(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_nil))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lb(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r)))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lb0u_c1, axiom, ![TV_u_27a,TV_u_27b]: ![V_y, V_x, V_r, V_lb, V_l, V_cmp]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lb(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_v),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_append(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_append(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ub(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_nil))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lb(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lb(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ind, axiom, ![TV_u_27a,TV_u_27b]: ![V_P]: ((![V_cmp, V_lb]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt)))) & ![V_cmp, V_lb, V_l, V_x, V_y, V_r]: (((~ (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) => p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))) & (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less) => p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r)))))) => p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r)))))))) => ![V_v, V_v1, V_v2]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool))),V_P),s(t_h4s_totos_toto(TV_u_27a),V_v))),s(TV_u_27a,V_v1))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2)))))).
fof(ah4s_fmapals_btu_u_tou_u_fmapu_u_ind, axiom, ![TV_u_27a,TV_u_27b]: ![V_P]: ((![V_cmp]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt)))) & ![V_cmp, V_l, V_x, V_v, V_r]: ((p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l)))) & p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))) => p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_v))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r)))))))) => ![V_v, V_v1]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),V_P),s(t_h4s_totos_toto(TV_u_27a),V_v))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v1)))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_ind, axiom, ![TV_u_27a,TV_u_27b]: ![V_P]: ((![V_cmp]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_nt)))) & ![V_cmp, V_l, V_x, V_y, V_r]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),V_P),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))))) => ![V_v, V_v1]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_bool)),V_P),s(t_h4s_totos_toto(TV_u_27a),V_v))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v1)))))).
fof(ah4s_sats_ANDu_u_INVu_u_IMP, axiom, ![V_A]: (p(s(t_bool,V_A)) => (~ (p(s(t_bool,V_A))) => p(s(t_bool,f))))).
fof(ah4s_sats_dcu_u_eq, axiom, ![V_r, V_q, V_p]: ((p(s(t_bool,V_p)) <=> s(t_bool,V_q) = s(t_bool,V_r)) <=> ((p(s(t_bool,V_p)) | (p(s(t_bool,V_q)) | p(s(t_bool,V_r)))) & ((p(s(t_bool,V_p)) | (~ (p(s(t_bool,V_r))) | ~ (p(s(t_bool,V_q))))) & ((p(s(t_bool,V_q)) | (~ (p(s(t_bool,V_r))) | ~ (p(s(t_bool,V_p))))) & (p(s(t_bool,V_r)) | (~ (p(s(t_bool,V_q))) | ~ (p(s(t_bool,V_p)))))))))).
fof(ah4s_sats_ANDu_u_INV2, axiom, ![V_A]: ((~ (p(s(t_bool,V_A))) => p(s(t_bool,f))) => ((p(s(t_bool,V_A)) => p(s(t_bool,f))) => p(s(t_bool,f))))).
fof(ah4s_sats_ORu_u_DUAL2, axiom, ![V_B, V_A]: ((~ ((p(s(t_bool,V_A)) | p(s(t_bool,V_B)))) => p(s(t_bool,f))) <=> ((p(s(t_bool,V_A)) => p(s(t_bool,f))) => (~ (p(s(t_bool,V_B))) => p(s(t_bool,f)))))).
fof(ah4s_sats_dcu_u_neg, axiom, ![V_q, V_p]: ((p(s(t_bool,V_p)) <=> ~ (p(s(t_bool,V_q)))) <=> ((p(s(t_bool,V_p)) | p(s(t_bool,V_q))) & (~ (p(s(t_bool,V_q))) | ~ (p(s(t_bool,V_p))))))).
fof(ah4s_sats_ORu_u_DUAL3, axiom, ![V_B, V_A]: ((~ ((~ (p(s(t_bool,V_A))) | p(s(t_bool,V_B)))) => p(s(t_bool,f))) <=> (p(s(t_bool,V_A)) => (~ (p(s(t_bool,V_B))) => p(s(t_bool,f)))))).
fof(ah4s_sats_NOTu_u_NOT, axiom, ![V_t]: (~ (~ (p(s(t_bool,V_t)))) <=> p(s(t_bool,V_t)))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_tupledu_u_primitive, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_9]: (![V_l, V_cmp, V_x, V_r, V_y]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_9),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27b,V_y))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_append(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_append(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ub(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_nil))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lb(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))))) => ![V_uu_8]: (![V_l, V_cmp, V_r, V_x]: s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_9),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) => ![V_uu_7]: (![V_v3, V_l, V_cmp, V_r]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_7),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v3))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v3),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))) => ![V_uu_6]: (![V_l, V_cmp, V_v3]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v3))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_7),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v3))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_5]: (![V_cmp, V_l]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_4]: (![V_cmp, V_v1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_4),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_nil))),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_3]: (![V_cmp]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_3),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_4),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_2]: (![V_a]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_uu_2),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_a))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_a),s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_3))) => ![V_uu_1]: (![V_btu_u_tou_u_orlu_u_tupled]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_tupled))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_uu_2) => ![V_uu_0]: (![V_R]: s(t_bool,happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),t_bool),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),V_R))) = s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),V_R))) => s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_tupled) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_relations_wfrec(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),h4s_mins_u_40(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),t_bool),V_uu_0))),s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1)))))))))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_curried, axiom, ![TV_u_27a,TV_u_27b]: ![V_x1, V_x]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orl(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1)))))).
fof(ah4s_bools_IMPu_u_CLAUSESu_c3, axiom, ![V_t]: ((p(s(t_bool,V_t)) => p(s(t_bool,V_t))) <=> p(s(t_bool,t)))).
fof(ah4s_bools_IMPu_u_CLAUSESu_c4, axiom, ![V_t]: ((p(s(t_bool,V_t)) => p(s(t_bool,f))) <=> ~ (p(s(t_bool,V_t))))).
fof(ah4s_bools_NOTu_u_CLAUSESu_c1, axiom, (~ (p(s(t_bool,t))) <=> p(s(t_bool,f)))).
fof(ah4s_enumerals_btu_u_nchotomy, axiom, ![TV_u_27a]: ![V_bb]: (s(t_h4s_enumerals_bt(TV_u_27a),V_bb) = s(t_h4s_enumerals_bt(TV_u_27a),h4s_enumerals_nt) | ?[V_b, V_a, V_b0]: s(t_h4s_enumerals_bt(TV_u_27a),V_bb) = s(t_h4s_enumerals_bt(TV_u_27a),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(TV_u_27a),V_b))),s(TV_u_27a,V_a))),s(t_h4s_enumerals_bt(TV_u_27a),V_b0))))).
fof(ah4s_relations_WFu_u_INDUCTIONu_u_THM, axiom, ![TV_u_27a]: ![V_R]: (p(s(t_bool,h4s_relations_wf(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R)))) => ![V_P]: (![V_x]: (![V_y]: (p(s(t_bool,happ(s(t_fun(TV_u_27a,t_bool),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_bool)),V_R),s(TV_u_27a,V_y))),s(TV_u_27a,V_x)))) => p(s(t_bool,happ(s(t_fun(TV_u_27a,t_bool),V_P),s(TV_u_27a,V_y))))) => p(s(t_bool,happ(s(t_fun(TV_u_27a,t_bool),V_P),s(TV_u_27a,V_x))))) => ![V_x]: p(s(t_bool,happ(s(t_fun(TV_u_27a,t_bool),V_P),s(TV_u_27a,V_x))))))).
fof(ah4s_bools_FALSITY, axiom, ![V_t]: (p(s(t_bool,f)) => p(s(t_bool,V_t)))).
fof(ah4s_pairs_ABSu_u_PAIRu_u_THM, axiom, ![TV_u_27a,TV_u_27b]: ![V_x]: ?[V_q, V_r]: s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_x) = s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_q),s(TV_u_27b,V_r)))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupledu_u_AUX, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_14]: (![V_x, V_l, V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_r, V_ub, V_m, V_y]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_ub))) = s(t_h4s_totos_cpn,h4s_totos_less)) & ?[V_vi_]: ((p(s(t_bool,V_vi_)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_lb),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))))),V_uu_14),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(TV_u_27b,V_y))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_vi_),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_bools_cond(s(t_bool,V_v),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))))))))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_lb),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_ub),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))))))))))))))) => ![V_uu_13]: (![V_l, V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_r, V_ub, V_m, V_x]: s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))))),V_uu_13),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))))),V_uu_14),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_12]: (![V_v9, V_l, V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_ub, V_m, V_r]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_12),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v9))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v9),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))))),V_uu_13),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_uu_11]: (![V_l, V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_ub, V_m, V_v9]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_11),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v9))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_12),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v9))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_10]: (![V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_ub, V_m, V_l]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_10),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_11),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) => ![V_uu_9]: (![V_v4, V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_ub, V_m]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_9),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_10),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))))) => ![V_uu_8]: (![V_v4, V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_ub]: s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))) = s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_9),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(TV_u_27a,V_ub))) => ![V_uu_7]: (![V_v4, V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_v5]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v5))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v5),s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))))) => ![V_uu_6]: (![V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_v4]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_6),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v4))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) => ![V_uu_5]: (![V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb, V_v3]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_v3))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_v3),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_6),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))))) => ![V_uu_4]: (![V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_lb]: s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) = s(t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_lb))) => ![V_uu_3]: (![V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp, V_v1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_v1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_v1),s(t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_2]: (![V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_cmp]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_1]: (![V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled, V_a]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_a))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_a),s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))))) => ![V_uu_0]: (![V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled))) => ![V_R]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupledu_u_aux(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_relations_wfrec(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_bool)),V_R),s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_0))))))))))))))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_curried, axiom, ![TV_u_27a,TV_u_27b]: ![V_x4, V_x3, V_x2, V_x1, V_x]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_x),s(TV_u_27a,V_x1),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2),s(TV_u_27a,V_x3),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x4))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ubu_u_acu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_pairs_u_2c(s(TV_u_27a,V_x1),s(t_h4s_pairs_prod(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x3),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x4)))))))))))).
fof(ah4s_bools_EQu_u_EXPAND, axiom, ![V_t2, V_t1]: (s(t_bool,V_t1) = s(t_bool,V_t2) <=> ((p(s(t_bool,V_t1)) & p(s(t_bool,V_t2))) | (~ (p(s(t_bool,V_t1))) & ~ (p(s(t_bool,V_t2))))))).
fof(ah4s_arithmetics_SUCu_u_ONEu_u_ADD, axiom, ![V_n]: s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,V_n))) = s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,V_n)))).
fof(ah4s_arithmetics_LESSu_u_EQ, axiom, ![V_n, V_m]: s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,V_m))),s(t_h4s_nums_num,V_n))) = s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,V_m))),s(t_h4s_nums_num,V_n)))).
fof(ah4s_bools_DISJu_u_ASSOC, axiom, ![V_C, V_B, V_A]: ((p(s(t_bool,V_A)) | (p(s(t_bool,V_B)) | p(s(t_bool,V_C)))) <=> ((p(s(t_bool,V_A)) | p(s(t_bool,V_B))) | p(s(t_bool,V_C))))).
fof(ah4s_bools_DEu_u_MORGANu_u_THMu_c0, axiom, ![V_B, V_A]: (~ ((p(s(t_bool,V_A)) & p(s(t_bool,V_B)))) <=> (~ (p(s(t_bool,V_A))) | ~ (p(s(t_bool,V_B)))))).
fof(ah4s_bools_DEu_u_MORGANu_u_THMu_c1, axiom, ![V_B, V_A]: (~ ((p(s(t_bool,V_A)) | p(s(t_bool,V_B)))) <=> (~ (p(s(t_bool,V_A))) & ~ (p(s(t_bool,V_B)))))).
fof(ah4s_bools_ORu_u_CLAUSESu_c2, axiom, ![V_t]: ((p(s(t_bool,f)) | p(s(t_bool,V_t))) <=> p(s(t_bool,V_t)))).
fof(ah4s_sats_dcu_u_conj, axiom, ![V_r, V_q, V_p]: ((p(s(t_bool,V_p)) <=> (p(s(t_bool,V_q)) & p(s(t_bool,V_r)))) <=> ((p(s(t_bool,V_p)) | (~ (p(s(t_bool,V_q))) | ~ (p(s(t_bool,V_r))))) & ((p(s(t_bool,V_q)) | ~ (p(s(t_bool,V_p)))) & (p(s(t_bool,V_r)) | ~ (p(s(t_bool,V_p)))))))).
fof(ah4s_sats_dcu_u_disj, axiom, ![V_r, V_q, V_p]: ((p(s(t_bool,V_p)) <=> (p(s(t_bool,V_q)) | p(s(t_bool,V_r)))) <=> ((p(s(t_bool,V_p)) | ~ (p(s(t_bool,V_q)))) & ((p(s(t_bool,V_p)) | ~ (p(s(t_bool,V_r)))) & (p(s(t_bool,V_q)) | (p(s(t_bool,V_r)) | ~ (p(s(t_bool,V_p))))))))).
fof(ah4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_curried, axiom, ![TV_u_27a,TV_u_27b]: ![V_x2, V_x1, V_x]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lb(s(t_h4s_totos_toto(TV_u_27a),V_x),s(TV_u_27a,V_x1),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_pairs_prod(TV_u_27a,t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(TV_u_27a,V_x1),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2)))))))).
fof(ah4s_fmapals_btu_u_tou_u_fmapu_u_curried, axiom, ![TV_u_27a,TV_u_27b]: ![V_x1, V_x]: s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_fmapals_fmapal(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1))) = s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_fmapu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1)))))).
fof(ah4s_fmapals_btu_u_FSTu_u_FDOM, axiom, ![TV_u_27a,TV_u_27b]: ![V_t, V_cmp]: s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_fmapals_fmapal(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_t))))) = s(t_fun(TV_u_27a,t_bool),h4s_enumerals_enumeral(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(TV_u_27a),h4s_fmapals_btu_u_map(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),TV_u_27a),h4s_pairs_fst),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_t)))))).
fof(ah4s_bools_DATATYPEu_u_TAGu_u_THM, axiom, ![TV_u_27a]: ![V_x]: s(t_bool,h4s_bools_datatype(s(TV_u_27a,V_x))) = s(t_bool,t)).
fof(ah4s_enumerals_node0, axiom, ![TV_u_27a]: s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_node) = s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_u_20u_40indu_u_typeenumeral1)).
fof(ah4s_enumerals_datatypeu_u_bt, axiom, ![TV_u_27a]: ![V_bt]: p(s(t_bool,h4s_bools_datatype(s(t_bool,happ(s(t_fun(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),t_bool),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),t_bool)),V_bt),s(t_h4s_enumerals_bt(TV_u_27a),h4s_enumerals_nt))),s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_node))))))).
fof(ah4s_fmapals_merge0u_c2, axiom, ![TV_u_27a,TV_u_27b]: ![V_l2, V_l1, V_cmp, V_b2, V_b1, V_a2, V_a1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_merge(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_a1),s(TV_u_27a,V_a2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_merge(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_merge(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_merge(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2)))))))).
fof(ah4s_bools_IMPu_u_ANTISYMu_u_AX, axiom, ![V_t2, V_t1]: ((p(s(t_bool,V_t1)) => p(s(t_bool,V_t2))) => ((p(s(t_bool,V_t2)) => p(s(t_bool,V_t1))) => s(t_bool,V_t1) = s(t_bool,V_t2)))).
fof(ah4s_bools_REFLu_u_CLAUSE, axiom, ![TV_u_27a]: ![V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_x) <=> p(s(t_bool,t)))).
fof(ah4s_bools_EQu_u_CLAUSESu_c0, axiom, ![V_t]: (s(t_bool,t) = s(t_bool,V_t) <=> p(s(t_bool,V_t)))).
fof(ah4s_fmapals_btu_u_map0u_c0, axiom, ![TV_u_27a,TV_u_27b]: ![V_f]: s(t_h4s_enumerals_bt(TV_u_27b),h4s_fmapals_btu_u_map(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(t_h4s_enumerals_bt(TV_u_27a),h4s_enumerals_nt))) = s(t_h4s_enumerals_bt(TV_u_27b),h4s_enumerals_nt)).
fof(ah4s_fmapals_btu_u_tou_u_fmapu_u_tupledu_u_primitive, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_11]: (![V_cmp, V_x, V_z]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_z))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_pairs_prod(TV_u_27a,t_bool),happ(s(t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)))),V_uu_11),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(TV_u_27a,V_z))) = s(t_h4s_pairs_prod(TV_u_27a,t_bool),h4s_pairs_u_2c(s(TV_u_27a,V_z),s(t_bool,V_v)))) => ![V_uu_10]: (![V_cmp, V_x, V_y]: ?[V_v]: ((p(s(t_bool,V_v)) <=> s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_y),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less)) & s(t_h4s_pairs_prod(TV_u_27a,t_bool),happ(s(t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)))),V_uu_10),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(TV_u_27a,V_y))) = s(t_h4s_pairs_prod(TV_u_27a,t_bool),h4s_pairs_u_2c(s(TV_u_27a,V_y),s(t_bool,V_v)))) => ![V_uu_9]: (![V_l, V_btu_u_tou_u_fmapu_u_tupled, V_r, V_cmp, V_x, V_v]: s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),happ(s(t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))))),V_uu_9),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(TV_u_27b,V_v))) = s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_combins_i(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))))),s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_gspec(s(t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)))),V_uu_10),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))))))),s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_fempty),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_v))))))),s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))),s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_gspec(s(t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)))),V_uu_11),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))))))))))) => ![V_uu_8]: (![V_l, V_btu_u_tou_u_fmapu_u_tupled, V_r, V_cmp, V_x]: s(t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))))),V_uu_9),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))) => ![V_uu_7]: (![V_v4, V_l, V_btu_u_tou_u_fmapu_u_tupled, V_cmp, V_r]: s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),V_uu_7),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v4))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))) = s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v4),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_6]: (![V_l, V_btu_u_tou_u_fmapu_u_tupled, V_cmp, V_v4]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v4))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),V_uu_7),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v4))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_5]: (![V_btu_u_tou_u_fmapu_u_tupled, V_cmp, V_l]: s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))) = s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_4]: (![V_btu_u_tou_u_fmapu_u_tupled, V_cmp, V_v2]: s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))) = s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_enumerals_btu_u_case(s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2),s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_combins_i(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_fempty))),s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_3]: (![V_btu_u_tou_u_fmapu_u_tupled, V_cmp]: s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) = s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_2]: (![V_btu_u_tou_u_fmapu_u_tupled, V_a]: s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_a))) = s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_a),s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))))) => ![V_uu_1]: (![V_btu_u_tou_u_fmapu_u_tupled]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),V_btu_u_tou_u_fmapu_u_tupled))) => ![V_uu_0]: (![V_R]: (p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),t_bool),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),V_R)))) <=> (p(s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),V_R)))) & (![V_r, V_v, V_x, V_l, V_cmp]: p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_v))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r)))))))) & ![V_v, V_x, V_l, V_r, V_cmp]: p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_v))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))))))))))) => s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_fmapu_u_tupled) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),h4s_relations_wfrec(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),h4s_mins_u_40(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_bool)),t_bool),V_uu_0))),s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b))),V_uu_1)))))))))))))))).
fof(ah4s_enumerals_btu_u_tou_u_setu_c1, axiom, ![TV_u_27a]: ![V_uu_1]: (![V_r, V_cmp, V_x, V_z]: ?[V_v]: ((p(s(t_bool,V_v)) <=> (p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_z),s(t_fun(TV_u_27a,t_bool),h4s_enumerals_enumeral(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(TV_u_27a),V_r)))))) & s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(TV_u_27a,V_z))) = s(t_h4s_totos_cpn,h4s_totos_less))) & s(t_h4s_pairs_prod(TV_u_27a,t_bool),happ(s(t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))))),V_uu_1),s(t_h4s_enumerals_bt(TV_u_27a),V_r))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(TV_u_27a,V_z))) = s(t_h4s_pairs_prod(TV_u_27a,t_bool),h4s_pairs_u_2c(s(TV_u_27a,V_z),s(t_bool,V_v)))) => ![V_uu_0]: (![V_l, V_cmp, V_x, V_y]: ?[V_v]: ((p(s(t_bool,V_v)) <=> (p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_y),s(t_fun(TV_u_27a,t_bool),h4s_enumerals_enumeral(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(TV_u_27a),V_l)))))) & s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_y),s(TV_u_27a,V_x))) = s(t_h4s_totos_cpn,h4s_totos_less))) & s(t_h4s_pairs_prod(TV_u_27a,t_bool),happ(s(t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))))),V_uu_0),s(t_h4s_enumerals_bt(TV_u_27a),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))),s(TV_u_27a,V_y))) = s(t_h4s_pairs_prod(TV_u_27a,t_bool),h4s_pairs_u_2c(s(TV_u_27a,V_y),s(t_bool,V_v)))) => ![V_x, V_r, V_l, V_cmp]: s(t_fun(TV_u_27a,t_bool),h4s_enumerals_enumeral(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(TV_u_27a),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(TV_u_27a),V_l))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(TV_u_27a),V_r))))) = s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_union(s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_union(s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_gspec(s(t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))))),V_uu_0),s(t_h4s_enumerals_bt(TV_u_27a),V_l))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x))))),s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_insert(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_empty))))),s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_gspec(s(t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool)))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(TV_u_27a,t_h4s_pairs_prod(TV_u_27a,t_bool))))),V_uu_1),s(t_h4s_enumerals_bt(TV_u_27a),V_r))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_x)))))))))).
fof(ah4s_enumerals_btu_u_tou_u_setu_c0, axiom, ![TV_u_27a]: ![V_cmp]: s(t_fun(TV_u_27a,t_bool),h4s_enumerals_enumeral(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(TV_u_27a),h4s_enumerals_nt))) = s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_empty)).
fof(ah4s_fmapals_btu_u_map0u_c1, axiom, ![TV_u_27b,TV_u_27a]: ![V_x, V_r, V_l, V_f]: s(t_h4s_enumerals_bt(TV_u_27b),h4s_fmapals_btu_u_map(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(t_h4s_enumerals_bt(TV_u_27a),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(TV_u_27a),V_l))),s(TV_u_27a,V_x))),s(t_h4s_enumerals_bt(TV_u_27a),V_r))))) = s(t_h4s_enumerals_bt(TV_u_27b),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27b),t_h4s_enumerals_bt(TV_u_27b)),happ(s(t_fun(TV_u_27b,t_fun(t_h4s_enumerals_bt(TV_u_27b),t_h4s_enumerals_bt(TV_u_27b))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27b),t_fun(TV_u_27b,t_fun(t_h4s_enumerals_bt(TV_u_27b),t_h4s_enumerals_bt(TV_u_27b)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(TV_u_27b),h4s_fmapals_btu_u_map(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(t_h4s_enumerals_bt(TV_u_27a),V_l))))),s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(TV_u_27a,V_x))))),s(t_h4s_enumerals_bt(TV_u_27b),h4s_fmapals_btu_u_map(s(t_fun(TV_u_27a,TV_u_27b),V_f),s(t_h4s_enumerals_bt(TV_u_27a),V_r)))))).
fof(ah4s_enumerals_btu_u_induction, axiom, ![TV_u_27a]: ![V_P]: ((p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_bool),V_P),s(t_h4s_enumerals_bt(TV_u_27a),h4s_enumerals_nt)))) & ![V_b, V_b0]: ((p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_bool),V_P),s(t_h4s_enumerals_bt(TV_u_27a),V_b)))) & p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_bool),V_P),s(t_h4s_enumerals_bt(TV_u_27a),V_b0))))) => ![V_a]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_bool),V_P),s(t_h4s_enumerals_bt(TV_u_27a),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a))),happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_enumerals_bt(TV_u_27a),t_h4s_enumerals_bt(TV_u_27a)))),h4s_enumerals_node),s(t_h4s_enumerals_bt(TV_u_27a),V_b))),s(TV_u_27a,V_a))),s(t_h4s_enumerals_bt(TV_u_27a),V_b0)))))))) => ![V_b]: p(s(t_bool,happ(s(t_fun(t_h4s_enumerals_bt(TV_u_27a),t_bool),V_P),s(t_h4s_enumerals_bt(TV_u_27a),V_b)))))).
fof(ah4s_finiteu_u_maps_FDOMu_u_FUNION, axiom, ![TV_u_27a,TV_u_27b]: ![V_g, V_f]: s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_funion(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),V_f),s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),V_g))))) = s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_union(s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),V_f))),s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),V_g)))))).
fof(ah4s_finiteu_u_maps_FDOMu_u_FUPDATE, axiom, ![TV_u_27a,TV_u_27b]: ![V_f, V_b, V_a]: s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),V_f),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a),s(TV_u_27b,V_b))))))) = s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_insert(s(TV_u_27a,V_a),s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),V_f)))))).
fof(ah4s_finiteu_u_maps_FDOMu_u_DRESTRICT, axiom, ![TV_u_27b,TV_u_27a]: ![V_r, V_f]: s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),V_f),s(t_fun(TV_u_27a,t_bool),V_r))))) = s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_inter(s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),V_f))),s(t_fun(TV_u_27a,t_bool),V_r)))).
fof(ah4s_finiteu_u_maps_FDOMu_u_FEMPTY, axiom, ![TV_u_27b,TV_u_27a]: s(t_fun(TV_u_27a,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(TV_u_27a,TV_u_27b),h4s_finiteu_u_maps_fempty))) = s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_empty)).
fof(ah4s_predu_u_sets_INu_u_INTER, axiom, ![TV_u_27a]: ![V_x, V_t, V_s]: (p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_inter(s(t_fun(TV_u_27a,t_bool),V_s),s(t_fun(TV_u_27a,t_bool),V_t)))))) <=> (p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),V_s)))) & p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),V_t))))))).
fof(ah4s_predu_u_sets_GSPECIFICATION, axiom, ![TV_u_27a,TV_u_27b]: ![V_v, V_f]: (p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_v),s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_gspec(s(t_fun(TV_u_27b,t_h4s_pairs_prod(TV_u_27a,t_bool)),V_f)))))) <=> ?[V_x]: s(t_h4s_pairs_prod(TV_u_27a,t_bool),h4s_pairs_u_2c(s(TV_u_27a,V_v),s(t_bool,t))) = s(t_h4s_pairs_prod(TV_u_27a,t_bool),happ(s(t_fun(TV_u_27b,t_h4s_pairs_prod(TV_u_27a,t_bool)),V_f),s(TV_u_27b,V_x))))).
fof(ah4s_predu_u_sets_INu_u_UNION, axiom, ![TV_u_27a]: ![V_x, V_t, V_s]: (p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),h4s_predu_u_sets_union(s(t_fun(TV_u_27a,t_bool),V_s),s(t_fun(TV_u_27a,t_bool),V_t)))))) <=> (p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),V_s)))) | p(s(t_bool,h4s_bools_in(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),V_t))))))).
fof(ah4s_predu_u_sets_EXTENSION, axiom, ![TV_u_27a]: ![V_t, V_s]: (s(t_fun(TV_u_27a,t_bool),V_s) = s(t_fun(TV_u_27a,t_bool),V_t) <=> ![V_x]: s(t_bool,h4s_bools_in(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),V_s))) = s(t_bool,h4s_bools_in(s(TV_u_27a,V_x),s(t_fun(TV_u_27a,t_bool),V_t))))).
fof(ah4s_pairs_PFORALLu_u_THM, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_1]: (![V_P, V_x, V_y]: s(t_bool,happ(s(t_fun(TV_u_27b,t_bool),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),happ(s(t_fun(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool))),V_uu_1),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),V_P))),s(TV_u_27a,V_x))),s(TV_u_27b,V_y))) = s(t_bool,happ(s(t_fun(TV_u_27b,t_bool),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),V_P),s(TV_u_27a,V_x))),s(TV_u_27b,V_y))) => ![V_uu_0]: (![V_P, V_x]: s(t_fun(TV_u_27b,t_bool),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),happ(s(t_fun(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool))),V_uu_0),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),V_P))),s(TV_u_27a,V_x))) = s(t_fun(TV_u_27b,t_bool),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),happ(s(t_fun(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool))),V_uu_1),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),V_P))),s(TV_u_27a,V_x))) => ![V_P]: (![V_x, V_y]: p(s(t_bool,happ(s(t_fun(TV_u_27b,t_bool),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),V_P),s(TV_u_27a,V_x))),s(TV_u_27b,V_y)))) <=> p(s(t_bool,d_forall(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_bool),h4s_pairs_uncurry(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),happ(s(t_fun(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool))),V_uu_0),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_bool)),V_P)))))))))))).
fof(ah4s_pairs_PAIRu_u_EQ, axiom, ![TV_u_27a,TV_u_27b]: ![V_y, V_x, V_b, V_a]: (s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))) = s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a),s(TV_u_27b,V_b))) <=> (s(TV_u_27a,V_x) = s(TV_u_27a,V_a) & s(TV_u_27b,V_y) = s(TV_u_27b,V_b)))).
fof(ah4s_bools_ETAu_u_AX, axiom, ![TV_u_27b,TV_u_27a]: ![V_t, V_x]: s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_t),s(TV_u_27a,V_x))) = s(TV_u_27b,happ(s(t_fun(TV_u_27a,TV_u_27b),V_t),s(TV_u_27a,V_x)))).
fof(ah4s_fmapals_mergeu_u_curried, axiom, ![TV_u_27a,TV_u_27b]: ![V_x2, V_x1, V_x]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_merge(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_mergeu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_x),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_x2)))))))).
fof(ah4s_fmapals_mergeu_u_tupledu_u_primitive, axiom, ![TV_u_27a,TV_u_27b]: ![V_uu_14]: (![V_a2, V_b2, V_mergeu_u_tupled, V_cmp, V_a1, V_l1, V_l2, V_b1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(TV_u_27b,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_14),s(TV_u_27a,V_a2))),s(TV_u_27b,V_b2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_a1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))),s(TV_u_27b,V_b1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_a1),s(TV_u_27a,V_a2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))))))))) => ![V_uu_13]: (![V_a2, V_b2, V_mergeu_u_tupled, V_cmp, V_l1, V_l2, V_a1]: s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(TV_u_27b,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_13),s(TV_u_27a,V_a2))),s(TV_u_27b,V_b2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))),s(TV_u_27a,V_a1))) = s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(TV_u_27b,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(TV_u_27a,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_14),s(TV_u_27a,V_a2))),s(TV_u_27b,V_b2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(TV_u_27a,V_a1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))) => ![V_uu_12]: (![V_v6, V_a2, V_mergeu_u_tupled, V_cmp, V_l1, V_l2, V_b2]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_12),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(TV_u_27a,V_a2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))),s(TV_u_27b,V_b2))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(TV_u_27b,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))))),V_uu_13),s(TV_u_27a,V_a2))),s(TV_u_27b,V_b2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))) => ![V_uu_11]: (![V_v6, V_mergeu_u_tupled, V_cmp, V_l1, V_l2, V_a2]: s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_11),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))),s(TV_u_27a,V_a2))) = s(t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(TV_u_27a,t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_12),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(TV_u_27a,V_a2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))) => ![V_uu_10]: (![V_v8, V_v6, V_mergeu_u_tupled, V_cmp, V_l1, V_l2]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_10),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v8))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v8),s(t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(TV_u_27a,t_fun(TV_u_27b,t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))))),V_uu_11),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))) => ![V_uu_9]: (![V_v6, V_mergeu_u_tupled, V_cmp, V_l1, V_v8]: s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_9),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v8))) = s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_10),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v8))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))) => ![V_uu_8]: (![V_l, V_v6, V_mergeu_u_tupled, V_cmp, V_l1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_listu_u_case(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))))),s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))))),V_uu_9),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))))) => ![V_uu_7]: (![V_l, V_mergeu_u_tupled, V_cmp, V_v6]: s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))) = s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_8),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),V_v6))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_6]: (![V_v2, V_mergeu_u_tupled, V_cmp, V_l]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_listu_u_case(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_combins_i(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))))),V_uu_7),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_5]: (![V_mergeu_u_tupled, V_cmp, V_v2]: s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))) = s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_6),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_v2))),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_4]: (![V_mergeu_u_tupled, V_cmp, V_v1]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v1))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_v1),s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))))),V_uu_5),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))))) => ![V_uu_3]: (![V_mergeu_u_tupled, V_cmp]: s(t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) = s(t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_4),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_totos_toto(TV_u_27a),V_cmp))) => ![V_uu_2]: (![V_mergeu_u_tupled, V_a]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_a))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_a),s(t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_totos_toto(TV_u_27a),t_fun(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),V_uu_3),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))))) => ![V_uu_1]: (![V_mergeu_u_tupled]: s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_2),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),V_mergeu_u_tupled))) => ![V_uu_0]: (![V_R]: (p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),t_bool),V_uu_0),s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R)))) <=> (p(s(t_bool,h4s_relations_wf(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R)))) & (![V_b2, V_b1, V_l2, V_l1, V_a2, V_a1, V_cmp]: (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_a1),s(TV_u_27a,V_a2))) = s(t_h4s_totos_cpn,h4s_totos_equal) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))))))) & (![V_b2, V_l2, V_l1, V_b1, V_a2, V_a1, V_cmp]: (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_a1),s(TV_u_27a,V_a2))) = s(t_h4s_totos_cpn,h4s_totos_greater) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))))))) & ![V_b1, V_l2, V_b2, V_l1, V_a2, V_a1, V_cmp]: (s(t_h4s_totos_cpn,h4s_totos_apto(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_a1),s(TV_u_27a,V_a2))) = s(t_h4s_totos_cpn,h4s_totos_less) => p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),V_R),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))))),s(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),h4s_pairs_u_2c(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_pairs_u_2c(s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a1),s(TV_u_27b,V_b1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l1))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_a2),s(TV_u_27b,V_b2))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l2))))))))))))))) => s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_fmapals_mergeu_u_tupled) = s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),h4s_relations_wfrec(s(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),h4s_mins_u_40(s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_bool)),t_bool),V_uu_0))),s(t_fun(t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),t_fun(t_h4s_pairs_prod(t_h4s_totos_toto(TV_u_27a),t_h4s_pairs_prod(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),V_uu_1))))))))))))))))))).
fof(ah4s_totos_cpnu_u_caseu_u_cong, axiom, ![TV_u_27a]: ![V_v2u_27, V_v2, V_v1u_27, V_v1, V_v0u_27, V_v0, V_Mu_27, V_M]: ((s(t_h4s_totos_cpn,V_M) = s(t_h4s_totos_cpn,V_Mu_27) & ((s(t_h4s_totos_cpn,V_Mu_27) = s(t_h4s_totos_cpn,h4s_totos_less) => s(TV_u_27a,V_v0) = s(TV_u_27a,V_v0u_27)) & ((s(t_h4s_totos_cpn,V_Mu_27) = s(t_h4s_totos_cpn,h4s_totos_equal) => s(TV_u_27a,V_v1) = s(TV_u_27a,V_v1u_27)) & (s(t_h4s_totos_cpn,V_Mu_27) = s(t_h4s_totos_cpn,h4s_totos_greater) => s(TV_u_27a,V_v2) = s(TV_u_27a,V_v2u_27))))) => s(TV_u_27a,h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,V_M),s(TV_u_27a,V_v0),s(TV_u_27a,V_v1),s(TV_u_27a,V_v2))) = s(TV_u_27a,h4s_totos_cpnu_u_case(s(t_h4s_totos_cpn,V_Mu_27),s(TV_u_27a,V_v0u_27),s(TV_u_27a,V_v1u_27),s(TV_u_27a,V_v2u_27))))).
fof(ah4s_lists_listu_u_sizeu_u_defu_c1, axiom, ![TV_u_27a]: ![V_f, V_a1, V_a0]: s(t_h4s_nums_num,h4s_lists_listu_u_size(s(t_fun(TV_u_27a,t_h4s_nums_num),V_f),s(t_h4s_lists_list(TV_u_27a),h4s_lists_cons(s(TV_u_27a,V_a0),s(t_h4s_lists_list(TV_u_27a),V_a1))))) = s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(TV_u_27a,t_h4s_nums_num),V_f),s(TV_u_27a,V_a0))),s(t_h4s_nums_num,h4s_lists_listu_u_size(s(t_fun(TV_u_27a,t_h4s_nums_num),V_f),s(t_h4s_lists_list(TV_u_27a),V_a1)))))))).
fof(ah4s_lists_listu_u_caseu_u_defu_c1, axiom, ![TV_u_27b,TV_u_27a]: ![V_v, V_f, V_a1, V_a0]: s(TV_u_27b,h4s_lists_listu_u_case(s(t_h4s_lists_list(TV_u_27a),h4s_lists_cons(s(TV_u_27a,V_a0),s(t_h4s_lists_list(TV_u_27a),V_a1))),s(TV_u_27b,V_v),s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(TV_u_27a),TV_u_27b)),V_f))) = s(TV_u_27b,happ(s(t_fun(t_h4s_lists_list(TV_u_27a),TV_u_27b),happ(s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(TV_u_27a),TV_u_27b)),V_f),s(TV_u_27a,V_a0))),s(t_h4s_lists_list(TV_u_27a),V_a1)))).
fof(ah4s_lists_listu_u_caseu_u_defu_c0, axiom, ![TV_u_27a,TV_u_27b]: ![V_v, V_f]: s(TV_u_27b,h4s_lists_listu_u_case(s(t_h4s_lists_list(TV_u_27a),h4s_lists_nil),s(TV_u_27b,V_v),s(t_fun(TV_u_27a,t_fun(t_h4s_lists_list(TV_u_27a),TV_u_27b)),V_f))) = s(TV_u_27b,V_v)).
fof(ah4s_numerals_numeralu_u_addu_c1, axiom, ![V_n]: s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,h4s_arithmetics_zero))))) = s(t_h4s_nums_num,V_n)).
fof(ah4s_numerals_numeralu_u_distribu_c21, axiom, ![V_n]: s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,V_n))))) = s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_arithmetics_zero))),s(t_h4s_nums_num,V_n)))).
fof(ah4s_numerals_numeralu_u_addu_c2, axiom, ![V_n, V_m]: s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,V_n))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,V_m))))))) = s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_m)))))))).
fof(ah4s_numerals_numeralu_u_distribu_c2, axiom, ![V_n, V_m]: s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,V_n))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,V_m))))) = s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,V_n),s(t_h4s_nums_num,V_m)))))))).
fof(ah4s_numerals_numeralu_u_ltu_c0, axiom, ![V_n]: s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_arithmetics_zero))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,V_n))))) = s(t_bool,t)).
fof(ch4s_fmapals_btu_u_tou_u_orlu_u_ac0u_c1, conjecture, ![TV_u_27a,TV_u_27b]: ![V_y, V_x, V_r, V_m, V_l, V_cmp]: s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))),happ(s(t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)))),happ(s(t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_fun(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),t_fun(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b))))),h4s_enumerals_node),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l))),s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))))),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m))) = s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_ubu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_l),s(TV_u_27a,V_x),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_lists_cons(s(t_h4s_pairs_prod(TV_u_27a,TV_u_27b),h4s_pairs_u_2c(s(TV_u_27a,V_x),s(TV_u_27b,V_y))),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),h4s_fmapals_btu_u_tou_u_orlu_u_lbu_u_ac(s(t_h4s_totos_toto(TV_u_27a),V_cmp),s(TV_u_27a,V_x),s(t_h4s_enumerals_bt(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_r),s(t_h4s_lists_list(t_h4s_pairs_prod(TV_u_27a,TV_u_27b)),V_m)))))))).
