SRS Standard pair #516968296

details

property	value
status	complete
benchmark	aprove5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n094.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	14.7383239269 seconds
cpu usage	33.226705857
max memory	1.43161344E9

stage attributes

key	value
output-size	19836
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished


Termination w.r.t. Q of the given QTRS could be proven:

(0) QTRS
(1) QTRS Reverse [EQUIVALENT, 0 ms]
(2) QTRS
(3) QTRSRRRProof [EQUIVALENT, 22 ms]
(4) QTRS
(5) DependencyPairsProof [EQUIVALENT, 17 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 2 ms]
(8) AND
    (9) QDP
        (10) UsableRulesProof [EQUIVALENT, 0 ms]
        (11) QDP
        (12) DependencyGraphProof [EQUIVALENT, 0 ms]
        (13) QDP
        (14) MNOCProof [EQUIVALENT, 0 ms]
        (15) QDP
        (16) UsableRulesProof [EQUIVALENT, 0 ms]
        (17) QDP
        (18) QReductionProof [EQUIVALENT, 0 ms]
        (19) QDP
        (20) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (21) YES
    (22) QDP
        (23) UsableRulesProof [EQUIVALENT, 0 ms]
        (24) QDP
        (25) MNOCProof [EQUIVALENT, 0 ms]
        (26) QDP
        (27) MRRProof [EQUIVALENT, 27 ms]
        (28) QDP
        (29) PisEmptyProof [EQUIVALENT, 0 ms]
        (30) YES
    (31) QDP
        (32) UsableRulesProof [EQUIVALENT, 0 ms]
        (33) QDP
        (34) QDPOrderProof [EQUIVALENT, 28 ms]
        (35) QDP
        (36) DependencyGraphProof [EQUIVALENT, 0 ms]
        (37) QDP
        (38) QDPOrderProof [EQUIVALENT, 0 ms]
        (39) QDP
        (40) QDPOrderProof [EQUIVALENT, 307 ms]
        (41) QDP
        (42) QDPOrderProof [EQUIVALENT, 149 ms]
        (43) QDP
        (44) DependencyGraphProof [EQUIVALENT, 0 ms]
        (45) TRUE


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

(0)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

   a(b(x1)) -> b(c(a(x1)))
   b(c(x1)) -> c(b(b(x1)))
   a(c(x1)) -> c(a(b(x1)))
   a(a(x1)) -> a(d(d(d(x1))))
   d(a(x1)) -> d(d(c(x1)))
   a(d(d(c(x1)))) -> a(a(a(d(x1))))
   e(e(f(f(x1)))) -> f(f(f(e(e(x1)))))
   e(x1) -> a(x1)
   b(d(x1)) -> d(d(x1))

Q is empty.

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

(1) QTRS Reverse (EQUIVALENT)
We applied the QTRS Reverse Processor [REVERSE].
----------------------------------------

(2)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

   b(a(x1)) -> a(c(b(x1)))
   c(b(x1)) -> b(b(c(x1)))
   c(a(x1)) -> b(a(c(x1)))
   a(a(x1)) -> d(d(d(a(x1))))
   a(d(x1)) -> c(d(d(x1)))
   c(d(d(a(x1)))) -> d(a(a(a(x1))))
   f(f(e(e(x1)))) -> e(e(f(f(f(x1)))))
   e(x1) -> a(x1)
   d(b(x1)) -> d(d(x1))

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