smt-libv2.drv 3.53 KB
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(* Why3 driver for SMT-LIB2 syntax, excluding bit-vectors *)
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prelude ";;; generated by SMT-LIB2 driver"

(*

Note: we do not insert any command "set-logic" because its
interpretation is specific to provers

prelude "(set-logic AUFNIRA)"

    A  : Array
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    UF : Uninterpreted Function
    DT : Datatypes (not needed at the end ...)
    NIRA : NonLinear Integer Reals Arithmetic
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*)

printer "smtv2"
filename "%f-%t-%g.smt2"
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unknown "^\\(unknown\\|sat\\|Fail\\)$" ""
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time "why3cpulimit time : %s s"
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valid "^unsat$"
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theory BuiltIn
  syntax type int   "Int"
  syntax type real  "Real"
  syntax predicate (=)  "(= %1 %2)"
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  meta "encoding:ignore_polymorphism_ls" predicate (=)
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  meta "encoding : kept" type int
end

theory int.Int

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  prelude ";;; SMT-LIB2: integer arithmetic"
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  syntax function zero "0"
  syntax function one  "1"

  syntax function (+)  "(+ %1 %2)"
  syntax function (-)  "(- %1 %2)"
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  syntax function ( * )  "(* %1 %2)"
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  syntax function (-_) "(- %1)"

  syntax predicate (<=) "(<= %1 %2)"
  syntax predicate (<)  "(< %1 %2)"
  syntax predicate (>=) "(>= %1 %2)"
  syntax predicate (>)  "(> %1 %2)"

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  remove prop MulComm.Comm
  remove prop MulAssoc.Assoc
  remove prop Unit_def_l
  remove prop Unit_def_r
  remove prop Inv_def_l
  remove prop Inv_def_r
  remove prop Assoc
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  remove prop Mul_distr_l
  remove prop Mul_distr_r
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  remove prop Comm
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  remove prop Unitary
  remove prop Refl
  remove prop Trans
  remove prop Antisymm
  remove prop Total
  remove prop NonTrivialRing
  remove prop CompatOrderAdd
  remove prop ZeroLessOne

end

theory real.Real

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  prelude ";;; SMT-LIB2: real arithmetic"
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  syntax function zero "0.0"
  syntax function one  "1.0"

  syntax function (+)  "(+ %1 %2)"
  syntax function (-)  "(- %1 %2)"
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  syntax function ( * )  "(* %1 %2)"
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  syntax function (/)  "(/ %1 %2)"
  syntax function (-_) "(- %1)"
  syntax function inv  "(/ 1.0 %1)"

  syntax predicate (<=) "(<= %1 %2)"
  syntax predicate (<)  "(< %1 %2)"
  syntax predicate (>=) "(>= %1 %2)"
  syntax predicate (>)  "(> %1 %2)"

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  remove prop MulComm.Comm
  remove prop MulAssoc.Assoc
  remove prop Unit_def_l
  remove prop Unit_def_r
  remove prop Inv_def_l
  remove prop Inv_def_r
  remove prop Assoc
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  remove prop Mul_distr_l
  remove prop Mul_distr_r
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  remove prop Comm
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  remove prop Unitary
  remove prop Inverse
  remove prop Refl
  remove prop Trans
  remove prop Antisymm
  remove prop Total
  remove prop NonTrivialRing
  remove prop CompatOrderAdd
  remove prop ZeroLessOne

  meta "encoding : kept" type real

end

theory Bool
   syntax type     bool  "Bool"
   syntax function True  "true"
   syntax function False "false"
   meta "encoding : kept" type bool
end

theory bool.Bool
   syntax function andb  "(and %1 %2)"
   syntax function orb   "(or %1 %2)"
   syntax function xorb  "(xor %1 %2)"
   syntax function notb  "(not %1)"
   syntax function implb "(=> %1 %2)"
end

theory bool.Ite
  syntax function ite "(ite %1 %2 %3)"
  meta "encoding : lskept" function ite
end

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(* not uniformly interpreted by provers
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theory real.Truncate
  syntax function floor "(to_int %1)"
  remove prop Floor_down
  remove prop Floor_monotonic
end
*)

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theory HighOrd
  syntax type     (->) "(Array %1 %2)"
  meta "material_type_arg" type (->), 1

  syntax function (@)  "(select %1 %2)"
  meta "encoding : lskept" function (@)
end

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theory map.Map
  meta "encoding : lskept" function get
  meta "encoding : lskept" function set
  meta "encoding : lskept" function const

  syntax function get   "(select %1 %2)"
  syntax function set   "(store %1 %2 %3)"
(*  syntax function const "(const[%t0] %1)" *)
end