/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


H-Termination with start terms of the given HASKELL could be proven:

(0) HASKELL
(1) BR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) COR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) Narrow [EQUIVALENT, 26 ms]
(6) YES


----------------------------------------

(0)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data Float = Float MyInt MyInt ;

data MyInt = Pos Main.Nat  | Neg Main.Nat ;

data Main.Nat = Succ Main.Nat  | Zero ;

negateFloat :: Float  ->  Float;
negateFloat = primNegFloat;

negateMyInt :: MyInt  ->  MyInt;
negateMyInt = primNegInt;

primNegFloat :: Float  ->  Float;
primNegFloat (Float x1 x2) = Float (negateMyInt x1) x2;

primNegInt :: MyInt  ->  MyInt;
primNegInt (Main.Pos x) = Main.Neg x;
primNegInt (Main.Neg x) = Main.Pos x;

}

----------------------------------------

(1) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.
----------------------------------------

(2)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data Float = Float MyInt MyInt ;

data MyInt = Pos Main.Nat  | Neg Main.Nat ;

data Main.Nat = Succ Main.Nat  | Zero ;

negateFloat :: Float  ->  Float;
negateFloat = primNegFloat;

negateMyInt :: MyInt  ->  MyInt;
negateMyInt = primNegInt;

primNegFloat :: Float  ->  Float;
primNegFloat (Float x1 x2) = Float (negateMyInt x1) x2;

primNegInt :: MyInt  ->  MyInt;
primNegInt (Main.Pos x) = Main.Neg x;
primNegInt (Main.Neg x) = Main.Pos x;

}

----------------------------------------

(3) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"

----------------------------------------

(4)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data Float = Float MyInt MyInt ;

data MyInt = Pos Main.Nat  | Neg Main.Nat ;

data Main.Nat = Succ Main.Nat  | Zero ;

negateFloat :: Float  ->  Float;
negateFloat = primNegFloat;

negateMyInt :: MyInt  ->  MyInt;
negateMyInt = primNegInt;

primNegFloat :: Float  ->  Float;
primNegFloat (Float x1 x2) = Float (negateMyInt x1) x2;

primNegInt :: MyInt  ->  MyInt;
primNegInt (Main.Pos x) = Main.Neg x;
primNegInt (Main.Neg x) = Main.Pos x;

}

----------------------------------------

(5) Narrow (EQUIVALENT)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="negateFloat",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="negateFloat vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
4[label="primNegFloat vx3",fontsize=16,color="burlywood",shape="box"];13[label="vx3/Float vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];4 -> 13[label="",style="solid", color="burlywood", weight=9];
13 -> 5[label="",style="solid", color="burlywood", weight=3];
5[label="primNegFloat (Float vx30 vx31)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
6[label="Float (negateMyInt vx30) vx31",fontsize=16,color="green",shape="box"];6 -> 7[label="",style="dashed", color="green", weight=3];
7[label="negateMyInt vx30",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
8[label="primNegInt vx30",fontsize=16,color="burlywood",shape="box"];14[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];8 -> 14[label="",style="solid", color="burlywood", weight=9];
14 -> 9[label="",style="solid", color="burlywood", weight=3];
15[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];8 -> 15[label="",style="solid", color="burlywood", weight=9];
15 -> 10[label="",style="solid", color="burlywood", weight=3];
9[label="primNegInt (Pos vx300)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10[label="primNegInt (Neg vx300)",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
11[label="Neg vx300",fontsize=16,color="green",shape="box"];12[label="Pos vx300",fontsize=16,color="green",shape="box"];}

----------------------------------------

(6)
YES