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authormirenn <me@mirenn.dev>2026-06-05 16:40:44 +0200
committermirenn <me@mirenn.dev>2026-06-10 14:28:22 +0200
commit0c63e81f1f851a07db4cecdc16b95d908f63d0a5 (patch)
treebf7d0539ff7410ca12d53be7a3e5a6530d277530 /examples/iris/iris_argmax.smtlib
parent840b91f84a926562654c43a93b02fa9c77c6a62b (diff)
downloadvein-0c63e81f1f851a07db4cecdc16b95d908f63d0a5.tar.gz
vein-0c63e81f1f851a07db4cecdc16b95d908f63d0a5.zip
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+; Argmax Equivalence for Iris
+
+; Constant declaration
+(declare-const X_0 Real)
+(declare-const X_1 Real)
+(declare-const X_2 Real)
+(declare-const X_3 Real)
+(declare-const Y_0 Real)
+(declare-const Y_1 Real)
+(declare-const Y_2 Real)
+(declare-const Y_3 Real)
+(declare-const Y_4 Real)
+(declare-const Y_5 Real)
+
+; Bounded inputs: X must be within [0, 1]
+(assert (>= X_0 0.0))
+(assert (<= X_0 1.0))
+(assert (>= X_1 0.0))
+(assert (<= X_1 1.0))
+(assert (>= X_2 0.0))
+(assert (<= X_2 1.0))
+(assert (>= X_3 0.0))
+(assert (<= X_3 1.0))
+
+; Violation of argmax equivalence
+(assert (or
+ (and
+ (> Y_0 Y_1)
+ (> Y_0 Y_2)
+ (or
+ (> Y_4 Y_3)
+ (> Y_5 Y_3)
+ )
+ )
+ (and
+ (> Y_1 Y_0)
+ (> Y_1 Y_2)
+ (or
+ (> Y_3 Y_4)
+ (> Y_5 Y_4)
+ )
+ )
+ (and
+ (> Y_2 Y_0)
+ (> Y_2 Y_1)
+ (or
+ (> Y_3 Y_5)
+ (> Y_4 Y_5)
+ )
+ )
+))