Funct Progr 77531 pair #381920370

details

property	value
status	complete
benchmark	Prelude_floor_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n054.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.39346981049 seconds
cpu usage	17.647498854
max memory	1.461669888E9

stage attributes

key	value
output-size	598089
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 22 ms]
(8) HASKELL
(9) LetRed [EQUIVALENT, 0 ms]
(10) HASKELL
(11) NumRed [SOUND, 0 ms]
(12) HASKELL
(13) Narrow [SOUND, 0 ms]
(14) AND
    (15) QDP
        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (17) YES
    (18) QDP
        (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (20) YES
    (21) QDP
        (22) DependencyGraphProof [EQUIVALENT, 0 ms]
        (23) AND
            (24) QDP
                (25) TransformationProof [EQUIVALENT, 3 ms]
                (26) QDP
                (27) TransformationProof [EQUIVALENT, 0 ms]
                (28) QDP
                (29) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (30) YES
            (31) QDP
                (32) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (33) YES
    (34) QDP
        (35) DependencyGraphProof [EQUIVALENT, 0 ms]
        (36) AND
            (37) QDP
                (38) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (39) YES
            (40) QDP
                (41) TransformationProof [EQUIVALENT, 0 ms]
                (42) QDP
                (43) TransformationProof [EQUIVALENT, 0 ms]
                (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
    (53) QDP
        (54) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (55) YES
    (56) QDP
        (57) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (58) YES
    (59) QDP
        (60) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (61) YES


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

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

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

(1) LR (EQUIVALENT)
Lambda Reductions:
The following Lambda expression
"\(_,r)->r"
is transformed to
"r0 (_,r) = r;
"
The following Lambda expression
"\(n,_)->n"
is transformed to
"n0 (n,_) = n;
"

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