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-rw-r--r--examples/api/smtlib/bitvectors_and_arrays.smt256
1 files changed, 56 insertions, 0 deletions
diff --git a/examples/api/smtlib/bitvectors_and_arrays.smt2 b/examples/api/smtlib/bitvectors_and_arrays.smt2
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+(set-logic QF_AUFBV)
+(set-option :produce-models true)
+
+; Consider the following code (where size is some previously defined constant):
+
+
+; Assert (current_array[0] > 0);
+; for (unsigned i = 1; i < k; ++i) {
+; current_array[i] = 2 * current_array[i - 1];
+; Assert (current_array[i-1] < current_array[i]);
+; }
+
+; We want to check whether the assertion in the body of the for loop holds
+; throughout the loop. We will do so for k = 4.
+
+
+(define-sort Index () (_ BitVec 2))
+(define-sort Element () (_ BitVec 32))
+(define-sort ArraySort () (Array Index Element))
+
+; Declaring the array
+(declare-const current_array ArraySort)
+
+; Making utility bit-vector constants
+(define-const zeroI Index (_ bv0 2))
+(define-const oneI Index (_ bv1 2))
+(define-const twoI Index (_ bv2 2))
+(define-const threeI Index (_ bv3 2))
+
+(define-const zeroE Element (_ bv0 32))
+(define-const twoE Element (_ bv2 32))
+
+; Asserting that current_array[0] > 0
+(assert (bvsgt (select current_array zeroI) zeroE))
+
+; Building the formulas representing loop unrolling
+
+; current_array[0] < array [1]
+(define-const unroll1 Bool (bvslt (select current_array zeroI) (bvmul twoE (select current_array zeroI))))
+; current_array[1] = 2 * current_array[0]
+(define-const current_array_ ArraySort (store current_array oneI (bvmul twoE (select current_array zeroI))))
+
+; current_array[1] < array [2]
+(define-const unroll2 Bool (bvslt (select current_array_ oneI) (bvmul twoE (select current_array_ oneI))))
+; current_array[2] = 2 * current_array[1]
+(define-const current_array__ ArraySort (store current_array_ twoI (bvmul twoE (select current_array_ oneI))))
+
+; current_array[2] < array [3]
+(define-const unroll3 Bool (bvslt (select current_array_ twoI) (bvmul twoE (select current_array_ twoI))))
+; current_array[3] = 2 * current_array[2]
+(define-const current_array___ ArraySort (store current_array_ threeI (bvmul twoE (select current_array_ twoI))))
+
+(assert (not (and unroll1 unroll2 unroll3)))
+
+(check-sat)
+(get-value (current_array___ (select current_array___ zeroI)))
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