; Automatically generated by map2smt (set-logic HORN) (declare-fun new6 (Int) Bool) (declare-fun new5 (Int) Bool) (declare-fun new4 (Int) Bool) (declare-fun new3 (Int) Bool) (declare-fun new2 (Int Int Int) Bool) (declare-fun new1 (Int Int Int) Bool) (declare-fun ff () Bool) (assert (forall ( (A Int) ) (=> (= A 0) (new6 A) ) ) ) (assert (forall ( (A Int) (B Int) ) (=> (and (= A (+ 1 B)) (new6 B) ) (new6 A) ) ) ) (assert (forall ( (A Int) ) (=> (= A 0) (new5 A) ) ) ) (assert (forall ( (A Int) (B Int) ) (=> (and (= A (+ 1 B)) (new5 B) ) (new5 A) ) ) ) (assert (forall ( (A Int) ) (=> (= A 0) (new4 A) ) ) ) (assert (forall ( (A Int) (B Int) ) (=> (and (= A (+ 1 B)) (new4 B) ) (new4 A) ) ) ) (assert (forall ( (A Int) ) (=> (= A 0) (new3 A) ) ) ) (assert (forall ( (A Int) (B Int) ) (=> (and (= A (+ 1 B)) (new3 B) ) (new3 A) ) ) ) (assert (forall ( (A Int) (B Int) (C Int) ) (=> (and (>= C 0) (>= A 0) (= B (+ A C)) (new3 A) (new4 C) ) (new2 A B C) ) ) ) (assert (forall ( (A Int) (B Int) (C Int) ) (=> (and (>= C 0) (>= A 0) (= B (+ A C)) (new5 A) (new6 C) ) (new1 A B C) ) ) ) (assert (forall ( (A Int) (B Int) (C Int) (D Int) ) (=> (and (<= (+ A 1) B) (= (+ C D) B) (new1 C A D) ) ff ) ) ) (assert (forall ( (A Int) (B Int) (C Int) (D Int) ) (=> (and (>= A (+ B 1)) (= (+ C D) B) (new2 C A D) ) ff ) ) ) (assert (not ff)) (check-sat)