Haskell pair #487598595

details

property	value
status	complete
benchmark	Prelude_ceiling_3.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	10.9307560921 seconds
cpu usage	17.490943169
max memory	1.464229888E9

stage attributes

key	value
output-size	563283
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 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) DependencyGraphProof [EQUIVALENT, 0 ms]
        (20) AND
            (21) QDP
                (22) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (23) YES
            (24) QDP
                (25) QDPSizeChangeProof [EQUIVALENT, 10 ms]
                (26) YES
    (27) QDP
        (28) DependencyGraphProof [EQUIVALENT, 0 ms]
        (29) AND
            (30) QDP
                (31) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (32) YES
            (33) QDP
                (34) TransformationProof [EQUIVALENT, 0 ms]
                (35) QDP
                (36) TransformationProof [EQUIVALENT, 0 ms]
                (37) QDP
                (38) QDPSizeChangeProof [EQUIVALENT, 1 ms]
                (39) YES
    (40) QDP
        (41) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (42) YES
    (43) QDP
        (44) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (45) YES
    (46) QDP
        (47) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (48) YES
    (49) QDP
        (50) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (51) YES
    (52) QDP
        (53) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (54) YES
    (55) QDP
        (56) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (57) 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;
"
The following Lambda expression
"\(_,r)->r"
is transformed to
"r1 (_,r) = r;

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