SRS Standard pair #487089268

details
property	value
status	complete
benchmark	135659.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	137.468 seconds
cpu usage	447.991
user time	436.492
system time	11.4991
max virtual memory	4.0302044E7
max residence set size	1.4791964E7
stage attributes
key	value
starexec-result	YES
output
YES
proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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) FlatCCProof [EQUIVALENT, 0 ms]
(2) QTRS
(3) RootLabelingProof [EQUIVALENT, 49 ms]
(4) QTRS
(5) QTRSRRRProof [EQUIVALENT, 967 ms]
(6) QTRS
(7) QTRSRRRProof [EQUIVALENT, 47 ms]
(8) QTRS
(9) DependencyPairsProof [EQUIVALENT, 983 ms]
(10) QDP
(11) QDPOrderProof [EQUIVALENT, 1624 ms]
(12) QDP
(13) QDPOrderProof [EQUIVALENT, 576 ms]
(14) QDP
(15) QDPOrderProof [EQUIVALENT, 827 ms]
(16) QDP
(17) DependencyGraphProof [EQUIVALENT, 0 ms]
(18) AND
    (19) QDP
        (20) QDPOrderProof [EQUIVALENT, 4913 ms]
        (21) QDP
        (22) PisEmptyProof [EQUIVALENT, 0 ms]
        (23) YES
    (24) QDP
        (25) QDPOrderProof [EQUIVALENT, 35 ms]
        (26) QDP
        (27) PisEmptyProof [EQUIVALENT, 0 ms]
        (28) YES
    (29) QDP
        (30) QDPOrderProof [EQUIVALENT, 6089 ms]
        (31) QDP
        (32) PisEmptyProof [EQUIVALENT, 0 ms]
        (33) YES


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

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

   0(0(0(0(0(0(0(0(1(0(0(0(0(0(1(1(1(0(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(0(1(0(0(1(0(0(0(1(0(0(0(0(x1))))))))))))))))))))
   0(0(0(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(1(1(x1)))))))))))))))))))) -> 1(1(0(0(0(0(0(0(0(0(0(0(1(0(0(0(1(0(1(0(x1))))))))))))))))))))
   0(0(0(0(0(0(0(1(1(1(1(0(0(0(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(0(0(1(x1))))))))))))))))))))
   0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(1(1(0(0(0(0(0(0(1(0(0(1(x1))))))))))))))))))))
   0(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(1(0(1(1(x1)))))))))))))))))))) -> 0(1(1(0(1(0(1(0(0(1(1(0(0(0(0(0(0(1(1(1(x1))))))))))))))))))))
   0(0(0(0(0(0(1(0(0(1(0(1(1(0(1(1(1(0(0(1(x1)))))))))))))))))))) -> 0(1(0(0(1(0(1(0(1(0(0(1(0(1(0(0(0(1(1(0(x1))))))))))))))))))))
   0(0(0(0(0(0(1(1(0(1(1(0(0(0(0(0(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(0(1(0(1(0(0(0(1(0(0(x1))))))))))))))))))))
   0(0(0(0(0(1(1(1(0(0(0(1(0(0(1(1(1(0(1(0(x1)))))))))))))))))))) -> 1(1(1(0(0(1(0(0(0(1(0(0(0(0(1(0(0(0(0(1(x1))))))))))))))))))))
   0(0(0(0(1(0(0(0(1(1(0(0(1(0(1(1(0(1(1(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(0(0(1(0(0(1(1(1(1(0(1(0(0(0(x1))))))))))))))))))))
   0(0(0(0(1(1(1(0(0(0(0(1(0(0(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(0(1(1(0(0(0(0(0(0(0(1(1(x1))))))))))))))))))))
   0(0(0(1(0(0(0(0(0(0(1(0(1(0(1(1(1(1(0(0(x1)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(0(0(0(0(0(1(0(0(1(0(0(0(x1))))))))))))))))))))
   0(0(0(1(0(0(0(1(0(1(1(1(0(0(1(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(0(1(1(1(0(0(0(0(1(1(1(0(0(1(0(0(x1))))))))))))))))))))
   0(0(0(1(0(1(1(1(0(1(0(0(0(1(1(0(0(1(0(1(x1)))))))))))))))))))) -> 1(0(0(0(1(0(1(1(0(0(0(0(0(0(0(1(1(1(0(0(x1))))))))))))))))))))
   0(0(0(1(1(0(0(0(1(1(0(0(1(1(0(0(0(1(0(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(1(1(0(0(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))
   0(0(0(1(1(0(1(0(1(1(0(0(1(0(1(0(1(0(0(1(x1)))))))))))))))))))) -> 1(0(0(0(1(1(0(1(0(1(0(0(0(0(0(1(0(1(0(0(x1))))))))))))))))))))
   0(0(0(1(1(1(1(1(0(0(0(1(0(0(0(0(1(0(0(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(1(0(0(0(1(0(0(1(0(1(1(0(0(0(x1))))))))))))))))))))
   0(0(1(0(0(0(0(1(0(0(0(1(0(0(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(0(0(0(0(0(1(1(0(0(0(0(1(1(x1))))))))))))))))))))
   0(0(1(0(0(0(0(1(0(0(0(1(1(1(0(1(1(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(0(1(0(1(1(0(0(1(0(0(0(1(0(0(1(0(x1))))))))))))))))))))
   0(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(1(0(0(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(0(0(0(1(0(0(0(0(1(0(0(x1))))))))))))))))))))
   0(0(1(0(0(1(0(1(1(1(0(0(0(0(1(1(0(0(0(1(x1)))))))))))))))))))) -> 1(0(0(1(0(0(1(1(0(1(0(0(1(0(0(1(0(0(0(1(x1))))))))))))))))))))
   0(0(1(0(0(1(1(0(0(0(0(1(0(1(1(0(0(1(0(1(x1)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(0(0(1(x1))))))))))))))))))))
   0(0(1(0(0(1(1(0(0(1(0(0(0(1(1(0(1(0(0(1(x1)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(0(1(0(0(1(0(1(0(1(0(x1))))))))))))))))))))
   0(0(1(0(1(0(0(1(1(0(1(0(1(0(0(0(1(1(1(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(1(1(0(1(1(0(1(0(0(1(1(0(1(0(x1))))))))))))))))))))
   0(0(1(0(1(0(1(0(0(0(1(0(1(1(1(0(1(1(0(0(x1)))))))))))))))))))) -> 1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(1(0(1(0(x1))))))))))))))))))))
   0(0(1(0(1(0(1(0(1(1(0(0(1(0(1(0(0(0(1(1(x1)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(0(0(0(0(0(0(0(0(1(x1))))))))))))))))))))
   0(0(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(1(0(0(0(0(0(1(0(0(0(0(1(x1))))))))))))))))))))
   0(0(1(0(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(1(x1)))))))))))))))))))) -> 0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(1(0(0(0(0(x1))))))))))))))))))))
   0(0(1(0(1(1(1(0(0(0(0(0(0(1(1(0(0(1(0(1(x1)))))))))))))))))))) -> 1(0(1(0(0(0(0(1(0(0(1(1(0(1(0(1(0(0(0(1(x1))))))))))))))))))))
   0(0(1(0(1(1(1(0(0(1(1(1(0(0(1(0(0(1(0(1(x1)))))))))))))))))))) -> 1(0(1(0(1(1(0(0(0(1(1(0(1(0(1(1(0(0(0(1(x1))))))))))))))))))))
   0(0(1(0(1(1(1(1(0(1(0(0(0(0(0(0(0(0(0(1(x1)))))))))))))))))))) -> 1(0(0(1(0(0(0(0(0(0(1(0(1(0(1(1(0(0(0(1(x1))))))))))))))))))))
   0(0(1(1(0(0(0(1(0(0(1(1(1(1(0(0(0(0(1(0(x1)))))))))))))))))))) -> 1(1(0(0(0(0(0(0(1(0(1(0(1(0(1(0(1(1(0(0(x1))))))))))))))))))))
   0(0(1(1(0(0(1(0(0(1(0(0(1(0(1(0(0(0(1(1(x1)))))))))))))))))))) -> 1(0(1(0(0(0(0(1(0(0(0(0(1(1(0(0(0(0(1(0(x1))))))))))))))))))))
   0(0(1(1(0(0(1(0(0(1(0(1(0(0(1(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(1(0(0(1(0(1(0(1(1(0(1(0(1(0(0(0(0(0(x1))))))))))))))))))))
   0(0(1(1(0(1(1(1(0(0(0(0(1(1(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(x1))))))))))))))))))))
   0(0(1(1(1(0(1(0(1(0(1(0(0(0(1(0(0(0(1(0(x1)))))))))))))))))))) -> 0(0(1(1(0(1(0(0(1(0(1(0(0(1(1(0(0(1(0(0(x1))))))))))))))))))))
   0(0(1(1(1(1(0(0(0(0(0(0(0(1(0(0(1(1(0(1(x1)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(1(1(1(1(0(0(0(1(0(0(0(0(x1))))))))))))))))))))
   0(1(0(0(0(0(0(0(0(1(0(1(0(1(0(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(0(1(0(0(1(0(0(1(0(0(1(0(x1))))))))))))))))))))
   0(1(0(0(0(0(0(0(1(0(1(1(1(0(0(1(0(0(1(1(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(1(0(x1))))))))))))))))))))
   0(1(0(0(0(0(1(0(0(1(0(0(1(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(0(0(0(1(1(0(0(0(1(0(1(0(0(0(0(0(0(0(0(x1))))))))))))))))))))
   0(1(0(0(0(0(1(1(1(0(1(0(1(0(1(0(1(0(0(1(x1)))))))))))))))))))) -> 1(0(1(0(0(1(0(0(1(0(0(0(0(1(0(1(0(1(0(1(x1))))))))))))))))))))
   0(1(0(0(0(1(1(0(0(1(1(0(0(0(1(1(0(1(0(1(x1)))))))))))))))))))) -> 1(0(0(1(0(0(0(1(1(0(1(1(0(0(1(0(0(0(1(0(x1))))))))))))))))))))
   0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(1(0(0(1(1(0(1(0(1(0(x1))))))))))))))))))))
   0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(0(0(0(0(1(0(1(0(1(1(1(x1))))))))))))))))))))
   0(1(0(0(1(0(0(0(1(0(1(0(0(0(1(1(1(0(1(0(x1)))))))))))))))))))) -> 1(1(0(0(0(0(0(0(1(1(0(0(0(0(0(0(0(1(1(0(x1))))))))))))))))))))
   0(1(0(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(0(1(x1)))))))))))))))))))) -> 1(0(0(0(0(0(1(0(1(0(0(0(0(1(0(0(0(0(1(1(x1))))))))))))))))))))
   0(1(0(0(1(0(0(1(0(1(0(1(1(0(1(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(0(1(1(1(0(0(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))
   0(1(0(0(1(0(1(0(0(0(1(0(0(1(1(1(0(0(1(0(x1)))))))))))))))))))) -> 1(0(1(1(0(0(0(0(0(0(1(1(0(0(1(0(0(0(1(0(x1))))))))))))))))))))
   0(1(0(0(1(0(1(0(0(1(0(0(0(0(1(1(1(0(1(1(x1)))))))))))))))))))) -> 1(1(0(0(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(0(x1))))))))))))))))))))
   0(1(0(0(1(0(1(0(0(1(0(1(0(1(1(0(0(1(0(1(x1)))))))))))))))))))) -> 0(0(1(0(1(1(0(0(0(1(0(0(0(1(0(0(0(0(0(1(x1))))))))))))))))))))
   0(1(0(0(1(0(1(0(1(1(0(1(0(0(0(0(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(1(0(0(1(0(0(1(0(0(1(0(0(0(x1))))))))))))))))))))
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