Haskell pair #487598971

details

property	value
status	complete
benchmark	Prelude_properFraction_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n023.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.90297603607 seconds
cpu usage	12.449995816
max memory	6.74545664E8

stage attributes

key	value
output-size	122475
starexec-result	YES

output

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


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


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 5 ms]
(10) HASKELL
(11) NumRed [SOUND, 0 ms]
(12) HASKELL
(13) Narrow [SOUND, 0 ms]
(14) AND
    (15) QDP
        (16) DependencyGraphProof [EQUIVALENT, 0 ms]
        (17) AND
            (18) QDP
                (19) QDPOrderProof [EQUIVALENT, 0 ms]
                (20) QDP
                (21) DependencyGraphProof [EQUIVALENT, 0 ms]
                (22) QDP
                (23) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (24) YES
            (25) QDP
                (26) MRRProof [EQUIVALENT, 0 ms]
                (27) QDP
                (28) PisEmptyProof [EQUIVALENT, 0 ms]
                (29) YES
    (30) QDP
        (31) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (32) YES
    (33) QDP
        (34) DependencyGraphProof [EQUIVALENT, 0 ms]
        (35) AND
            (36) QDP
                (37) MRRProof [EQUIVALENT, 0 ms]
                (38) QDP
                (39) PisEmptyProof [EQUIVALENT, 0 ms]
                (40) YES
            (41) QDP
                (42) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (43) YES
    (44) QDP
        (45) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (46) YES
    (47) QDP
        (48) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (49) YES
    (50) QDP
        (51) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (52) 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;
}

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