Funct Progr 77531 pair #381921083

details

property	value
status	complete
benchmark	Prelude_properFraction_3.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.95544910431 seconds
cpu usage	12.027586139
max memory	5.91597568E8

stage attributes

key	value
output-size	59793
starexec-result	YES

output

/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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) LR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) IFR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) BR [EQUIVALENT, 0 ms]
(6) HASKELL
(7) COR [EQUIVALENT, 0 ms]
(8) HASKELL
(9) LetRed [EQUIVALENT, 9 ms]
(10) HASKELL
(11) Narrow [SOUND, 0 ms]
(12) AND
    (13) QDP
        (14) DependencyGraphProof [EQUIVALENT, 0 ms]
        (15) AND
            (16) QDP
                (17) MRRProof [EQUIVALENT, 38 ms]
                (18) QDP
                (19) PisEmptyProof [EQUIVALENT, 0 ms]
                (20) YES
            (21) QDP
                (22) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (23) YES
    (24) QDP
        (25) DependencyGraphProof [EQUIVALENT, 0 ms]
        (26) AND
            (27) QDP
                (28) MRRProof [EQUIVALENT, 0 ms]
                (29) QDP
                (30) PisEmptyProof [EQUIVALENT, 0 ms]
                (31) YES
            (32) QDP
                (33) QDPOrderProof [EQUIVALENT, 42 ms]
                (34) QDP
                (35) DependencyGraphProof [EQUIVALENT, 0 ms]
                (36) QDP
                (37) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (38) YES
    (39) QDP
        (40) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (41) YES


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

(0)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

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

(1) LR (EQUIVALENT)
Lambda Reductions:
The following Lambda expression
"\(q,_)->q"
is transformed to
"q1 (q,_) = q;
"
The following Lambda expression
"\(_,r)->r"
is transformed to
"r0 (_,r) = r;
"

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

(2)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

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

(3) IFR (EQUIVALENT)
If Reductions:
The following If expression
"if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x"
is transformed to
"primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y);
primModNatS0 x y False = Succ x;
"

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