78 lines
1.6 KiB
Text
78 lines
1.6 KiB
Text
import Std.Tactic.BVDecide
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/-! UInt8 -/
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example (a b c : UInt8) (h1 : a < b) (h2 : b < c) : a < c := by
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bv_decide
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/--
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error: The prover found a counterexample, consider the following assignment:
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a = 255
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b = 255
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-/
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#guard_msgs in
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example (a b : UInt8) : a + b > a := by
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bv_decide
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/-! UInt16 -/
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example (a b c : UInt16) (h1 : a < b) (h2 : b < c) : a < c := by
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bv_decide
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/--
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error: The prover found a counterexample, consider the following assignment:
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a = 65535
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b = 65535
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-/
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#guard_msgs in
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example (a b : UInt16) : a + b > a := by
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bv_decide
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/-! UInt32 -/
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example (a b c : UInt32) (h1 : a < b) (h2 : b < c) : a < c := by
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bv_decide
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/--
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error: The prover found a counterexample, consider the following assignment:
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a = 4294967295
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b = 4294967295
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-/
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#guard_msgs in
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example (a b : UInt32) : a + b > a := by
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bv_decide
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/-! UInt64 -/
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example (a b c : UInt64) (h1 : a < b) (h2 : b < c) : a < c := by
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bv_decide
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/--
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error: The prover found a counterexample, consider the following assignment:
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a = 18446744073709551615
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b = 18446744073709551615
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-/
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#guard_msgs in
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example (a b : UInt64) : a + b > a := by
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bv_decide
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/-! USize -/
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example (a b c : USize) (h1 : a < b) (h2 : b < c) : a < c := by
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cases System.Platform.numBits_eq <;> bv_decide
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/--
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warning: Detected USize/ISize in the goal but no hypothesis about System.Platform.numBits, consider case splitting on System.Platform.numBits_eq
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---
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warning: declaration uses 'sorry'
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-/
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#guard_msgs in
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example (a b : USize) : a + b > a := by
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bv_normalize
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sorry
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example (h : 32 = System.Platform.numBits) (a b c : USize) (h1 : a < b) (h2 : b < c) : a < c := by
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bv_decide
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