Funct Progr 77531 pair #381920916

details

property	value
status	complete
benchmark	Prelude_ceiling_1.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n035.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.67910385132 seconds
cpu usage	18.812895038
max memory	1.475567616E9

stage attributes

key	value
output-size	973826
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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) CR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) IFR [EQUIVALENT, 0 ms]
(6) HASKELL
(7) BR [EQUIVALENT, 10 ms]
(8) HASKELL
(9) COR [EQUIVALENT, 0 ms]
(10) HASKELL
(11) LetRed [EQUIVALENT, 13 ms]
(12) HASKELL
(13) NumRed [SOUND, 0 ms]
(14) HASKELL
(15) Narrow [SOUND, 0 ms]
(16) AND
    (17) QDP
        (18) DependencyGraphProof [EQUIVALENT, 0 ms]
        (19) AND
            (20) QDP
                (21) MRRProof [EQUIVALENT, 9 ms]
                (22) QDP
                (23) PisEmptyProof [EQUIVALENT, 0 ms]
                (24) YES
            (25) QDP
                (26) QDPSizeChangeProof [EQUIVALENT, 3 ms]
                (27) YES
    (28) QDP
        (29) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (30) YES
    (31) QDP
        (32) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (33) YES
    (34) QDP
        (35) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (36) YES
    (37) QDP
        (38) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (39) YES
    (40) QDP
        (41) DependencyGraphProof [EQUIVALENT, 0 ms]
        (42) AND
            (43) QDP
                (44) MRRProof [EQUIVALENT, 0 ms]
                (45) QDP
                (46) PisEmptyProof [EQUIVALENT, 0 ms]
                (47) YES
            (48) QDP
                (49) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (50) YES
    (51) QDP
        (52) DependencyGraphProof [EQUIVALENT, 0 ms]
        (53) TRUE
    (54) QDP
        (55) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (56) YES
    (57) QDP
        (58) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (59) YES
    (60) QDP
        (61) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (62) 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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