Funct Progr 77531 pair #381920323

details

property	value
status	complete
benchmark	range_3.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n041.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	16.0237748623 seconds
cpu usage	31.132291905
max memory	4.217798656E9

stage attributes

key	value
output-size	155788
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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) BR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) COR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) Narrow [SOUND, 0 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) AND
    (9) QDP
        (10) MRRProof [EQUIVALENT, 98 ms]
        (11) QDP
        (12) TransformationProof [EQUIVALENT, 0 ms]
        (13) QDP
        (14) QReductionProof [EQUIVALENT, 0 ms]
        (15) QDP
        (16) TransformationProof [EQUIVALENT, 0 ms]
        (17) QDP
        (18) TransformationProof [EQUIVALENT, 0 ms]
        (19) QDP
        (20) UsableRulesProof [EQUIVALENT, 0 ms]
        (21) QDP
        (22) QReductionProof [EQUIVALENT, 0 ms]
        (23) QDP
        (24) TransformationProof [EQUIVALENT, 0 ms]
        (25) QDP
        (26) UsableRulesProof [EQUIVALENT, 0 ms]
        (27) QDP
        (28) QReductionProof [EQUIVALENT, 0 ms]
        (29) QDP
        (30) QDPOrderProof [EQUIVALENT, 32 ms]
        (31) QDP
        (32) TransformationProof [EQUIVALENT, 0 ms]
        (33) QDP
        (34) DependencyGraphProof [EQUIVALENT, 0 ms]
        (35) TRUE
    (36) QDP
        (37) QDPPairToRuleProof [EQUIVALENT, 0 ms]
        (38) AND
            (39) QDP
                (40) TransformationProof [EQUIVALENT, 0 ms]
                (41) QDP
                (42) DependencyGraphProof [EQUIVALENT, 0 ms]
                (43) QDP
                (44) UsableRulesProof [EQUIVALENT, 0 ms]
                (45) QDP
                (46) QReductionProof [EQUIVALENT, 0 ms]
                (47) QDP
                (48) InductionCalculusProof [EQUIVALENT, 0 ms]
                (49) QDP
                (50) NonInfProof [EQUIVALENT, 193 ms]
                (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;
data List a = Cons a (List a)  | Nil ;

data MyBool = MyTrue  | MyFalse ;

data MyInt = Pos Main.Nat  | Neg Main.Nat ;

data Main.Nat = Succ Main.Nat  | Zero ;

data Ordering = LT  | EQ  | GT ;

data Tup2 a b = Tup2 a b ;

data Main.WHNF a = WHNF a ;

compareMyInt :: MyInt  ->  MyInt  ->  Ordering;

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