SRS Standard pair #516969904

details

property	value
status	complete
benchmark	212037.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n169.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	29.4973628521 seconds
cpu usage	114.384560862
max memory	3.043803136E9

stage attributes

key	value
output-size	77443
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished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) DependencyPairsProof [EQUIVALENT, 284 ms]
(4) QDP
(5) DependencyGraphProof [EQUIVALENT, 4 ms]
(6) AND
    (7) QDP
        (8) UsableRulesProof [EQUIVALENT, 1 ms]
        (9) QDP
        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (11) YES
    (12) QDP
        (13) QDPOrderProof [EQUIVALENT, 323 ms]
        (14) QDP
        (15) DependencyGraphProof [EQUIVALENT, 0 ms]
        (16) QDP
        (17) QDPOrderProof [EQUIVALENT, 139 ms]
        (18) QDP
        (19) DependencyGraphProof [EQUIVALENT, 0 ms]
        (20) QDP
        (21) QDPOrderProof [EQUIVALENT, 93 ms]
        (22) QDP
        (23) QDPOrderProof [EQUIVALENT, 87 ms]
        (24) QDP
        (25) DependencyGraphProof [EQUIVALENT, 0 ms]
        (26) QDP
        (27) QDPOrderProof [EQUIVALENT, 71 ms]
        (28) QDP
        (29) QDPOrderProof [EQUIVALENT, 77 ms]
        (30) QDP
        (31) DependencyGraphProof [EQUIVALENT, 0 ms]
        (32) AND
            (33) QDP
                (34) QDPOrderProof [EQUIVALENT, 3469 ms]
                (35) QDP
                (36) DependencyGraphProof [EQUIVALENT, 0 ms]
                (37) QDP
                (38) UsableRulesProof [EQUIVALENT, 0 ms]
                (39) QDP
                (40) QDPSizeChangeProof [EQUIVALENT, 0 ms]
                (41) YES
            (42) QDP
                (43) QDPOrderProof [EQUIVALENT, 60 ms]
                (44) QDP
                (45) PisEmptyProof [EQUIVALENT, 0 ms]
                (46) YES


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

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

   0(1(2(x1))) -> 0(0(2(1(x1))))
   0(1(2(x1))) -> 0(2(1(3(x1))))
   0(1(2(x1))) -> 0(2(3(1(x1))))
   0(1(4(x1))) -> 0(4(1(1(0(0(x1))))))
   0(3(2(x1))) -> 0(0(2(3(x1))))
   0(3(2(x1))) -> 0(2(3(1(x1))))
   0(3(4(x1))) -> 0(0(4(3(x1))))
   0(4(5(x1))) -> 0(0(4(1(5(x1)))))
   2(0(1(x1))) -> 0(2(1(1(x1))))
   2(4(1(x1))) -> 0(4(2(3(1(x1)))))
   4(3(2(x1))) -> 4(2(3(1(x1))))
   0(1(0(1(x1)))) -> 0(0(3(1(1(x1)))))
   0(1(0(2(x1)))) -> 0(0(2(1(1(1(x1))))))
   0(1(4(2(x1)))) -> 0(4(2(1(1(x1)))))
   0(3(2(4(x1)))) -> 0(4(2(3(0(x1)))))
   0(3(4(2(x1)))) -> 0(4(2(3(1(x1)))))
   0(3(5(2(x1)))) -> 0(2(1(3(5(x1)))))
   0(4(5(3(x1)))) -> 0(0(4(3(5(x1)))))
   0(5(3(4(x1)))) -> 0(4(3(3(5(x1)))))
   0(5(4(2(x1)))) -> 0(4(2(1(5(x1)))))
   2(0(3(1(x1)))) -> 0(3(2(1(1(x1)))))
   2(2(4(1(x1)))) -> 4(2(2(3(1(x1)))))
   2(3(4(3(x1)))) -> 2(3(0(4(3(3(x1))))))
   2(4(1(1(x1)))) -> 2(0(4(1(1(x1)))))
   2(4(1(3(x1)))) -> 0(4(3(2(1(x1)))))
   2(4(3(2(x1)))) -> 2(0(4(2(3(x1)))))
   2(5(4(3(x1)))) -> 0(4(2(3(5(x1)))))
   4(2(0(3(x1)))) -> 2(3(0(4(3(x1)))))
   4(3(4(3(x1)))) -> 4(3(0(4(3(x1)))))
   0(1(5(3(2(x1))))) -> 0(5(0(3(2(1(x1))))))
   0(1(5(4(2(x1))))) -> 5(2(1(0(4(3(x1))))))

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