** Calling: z3 -nw -in -smt2
[GOOD] ; Automatically generated by SBV. Do not edit.
[GOOD] (set-option :print-success true)
[GOOD] (set-option :global-declarations true)
[GOOD] (set-option :smtlib2_compliant true)
[GOOD] (set-option :diagnostic-output-channel "stdout")
[GOOD] (set-option :produce-models true)
[GOOD] (set-logic ALL) ; has user-defined sorts, using catch-all.
[GOOD] ; --- uninterpreted sorts ---
[GOOD] (declare-sort P 0)  ; N.B. Uninterpreted sort.
[GOOD] (declare-fun P_witness () P)
[GOOD] ; --- tuples ---
[GOOD] ; --- sums ---
[GOOD] ; --- literal constants ---
[GOOD] ; --- top level inputs ---
[GOOD] ; --- constant tables ---
[GOOD] ; --- non-constant tables ---
[GOOD] ; --- arrays ---
[GOOD] ; --- uninterpreted constants ---
[GOOD] (declare-fun D (P) Bool)
[GOOD] ; --- user defined functions ---
[GOOD] ; --- assignments ---
[GOOD] (define-fun s0 () Bool (exists ((l1_s0 P)) (forall ((l1_s1 P))
         (let ((l1_s2 (D l1_s0)))
         (let ((l1_s3 (D l1_s1)))
         (let ((l1_s4 (=> l1_s2 l1_s3)))
         l1_s4))))))
[GOOD] ; --- arrayDelayeds ---
[GOOD] ; --- arraySetups ---
[GOOD] ; --- delayedEqualities ---
[GOOD] ; --- formula ---
[GOOD] (assert (not s0))
[SEND] (check-sat)
[RECV] unsat
*** Solver   : Z3
*** Exit code: ExitSuccess

RESULT:
Q.E.D.