SRS Standard pair #487086934

details

property	value
status	complete
benchmark	86857.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	107.258 seconds
cpu usage	396.088
user time	385.3
system time	10.7885
max virtual memory	4.1962396E7
max residence set size	1.4563916E7

stage attributes

key	value
starexec-result	YES

output

YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) QTRS
(1) QTRSRRRProof [EQUIVALENT, 181 ms]
(2) QTRS
(3) DependencyPairsProof [EQUIVALENT, 1200 ms]
(4) QDP
(5) QDPOrderProof [EQUIVALENT, 1713 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) AND
    (9) QDP
        (10) QDPOrderProof [EQUIVALENT, 69 ms]
        (11) QDP
        (12) DependencyGraphProof [EQUIVALENT, 0 ms]
        (13) QDP
        (14) QDPOrderProof [EQUIVALENT, 0 ms]
        (15) QDP
        (16) QDPOrderProof [EQUIVALENT, 2682 ms]
        (17) QDP
        (18) PisEmptyProof [EQUIVALENT, 0 ms]
        (19) YES
    (20) QDP
        (21) QDPOrderProof [EQUIVALENT, 57 ms]
        (22) QDP
        (23) QDPOrderProof [EQUIVALENT, 0 ms]
        (24) QDP
        (25) PisEmptyProof [EQUIVALENT, 0 ms]
        (26) YES
    (27) QDP
        (28) QDPOrderProof [EQUIVALENT, 65 ms]
        (29) QDP
        (30) QDPOrderProof [EQUIVALENT, 0 ms]
        (31) QDP
        (32) QDPOrderProof [EQUIVALENT, 49 ms]
        (33) QDP
        (34) PisEmptyProof [EQUIVALENT, 0 ms]
        (35) YES
    (36) QDP
        (37) QDPOrderProof [EQUIVALENT, 53 ms]
        (38) QDP
        (39) QDPOrderProof [EQUIVALENT, 60 ms]
        (40) QDP
        (41) QDPOrderProof [EQUIVALENT, 50 ms]
        (42) QDP
        (43) PisEmptyProof [EQUIVALENT, 0 ms]
        (44) YES
    (45) QDP
        (46) QDPOrderProof [EQUIVALENT, 56 ms]
        (47) QDP
        (48) QDPOrderProof [EQUIVALENT, 0 ms]
        (49) QDP
        (50) QDPOrderProof [EQUIVALENT, 60 ms]
        (51) QDP
        (52) QDPOrderProof [EQUIVALENT, 1720 ms]
        (53) QDP
        (54) PisEmptyProof [EQUIVALENT, 0 ms]
        (55) YES


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

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

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

Q is empty.

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