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; COMMAND-LINE: --learned-rewrite --no-check-unsat-cores
; EXPECT: unsat
;
;!(a,b,c).( 0<=b & 1<=c & 0<=a & 1<=c
; =>
; (a+(b mod c)) mod c = (a+b) mod c)
;
(set-logic QF_NIA)
(set-option :print-success false)
(declare-fun a () Int)
(declare-fun b () Int)
(declare-fun c () Int)
(assert (<= 0 a))
(assert (<= 1 c))
(assert (<= 0 b))
(assert (! (not (= (mod (+ a (mod b c)) c) (mod (+ a b) c))) :named goal))
(check-sat)
(exit)
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