TRS Equational pair #487092851

details

property	value
status	complete
benchmark	rationals.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Mixed_AC_and_C

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	25.4276 seconds
cpu usage	39.6244
user time	38.0658
system time	1.55862
max virtual memory	1.8611924E7
max residence set size	3748968.0

stage attributes

key	value
starexec-result	MAYBE

output

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given ETRS could not be shown:

(0) ETRS
(1) EquationalDependencyPairsProof [EQUIVALENT, 395 ms]
(2) EDP
(3) EDependencyGraphProof [EQUIVALENT, 0 ms]
(4) AND
    (5) EDP
        (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (7) EDP
        (8) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms]
        (9) EDP
        (10) PisEmptyProof [EQUIVALENT, 0 ms]
        (11) YES
    (12) EDP
        (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (14) EDP
        (15) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms]
        (16) EDP
        (17) PisEmptyProof [EQUIVALENT, 0 ms]
        (18) YES
    (19) EDP
        (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (21) EDP
        (22) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms]
        (23) EDP
        (24) PisEmptyProof [EQUIVALENT, 0 ms]
        (25) YES
    (26) EDP
        (27) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (28) EDP
        (29) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms]
        (30) EDP
        (31) PisEmptyProof [EQUIVALENT, 0 ms]
        (32) YES
    (33) EDP
        (34) ESharpUsableEquationsProof [EQUIVALENT, 0 ms]
        (35) EDP
        (36) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms]
        (37) EDP
        (38) PisEmptyProof [EQUIVALENT, 0 ms]
        (39) YES
    (40) EDP
        (41) ESharpUsableEquationsProof [EQUIVALENT, 198 ms]
        (42) EDP
        (43) EUsableRulesReductionPairsProof [EQUIVALENT, 260 ms]
        (44) EDP
        (45) ERuleRemovalProof [EQUIVALENT, 45 ms]
        (46) EDP
        (47) EDPPoloProof [EQUIVALENT, 0 ms]
        (48) EDP
        (49) PisEmptyProof [EQUIVALENT, 0 ms]
        (50) YES
    (51) EDP
        (52) ESharpUsableEquationsProof [EQUIVALENT, 19 ms]
        (53) EDP
        (54) EUsableRulesProof [EQUIVALENT, 0 ms]
        (55) EDP
    (56) EDP


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

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

   0(#) -> #
   +(#, x) -> x
   +(0(x), 0(y)) -> 0(+(x, y))
   +(0(x), 1(y)) -> 1(+(x, y))
   +(0(x), j(y)) -> j(+(x, y))
   +(1(x), 1(y)) -> j(+(1(#), +(x, y)))
   +(j(x), j(y)) -> 1(+(j(#), +(x, y)))
   +(1(x), j(y)) -> 0(+(x, y))
   opp(#) -> #
   opp(0(x)) -> 0(opp(x))
   opp(1(x)) -> j(opp(x))
   opp(j(x)) -> 1(opp(x))
   -(x, y) -> +(opp(y), x)
   *(#, x) -> #
   *(0(x), y) -> 0(*(x, y))
   *(1(x), y) -> +(0(*(x, y)), y)
   *(j(x), y) -> -(0(*(x, y)), y)
   abs(x) -> test_abs_pos(x, x)
   test_abs_pos(#, x) -> x
   test_abs_pos(0(x), y) -> test_abs_pos(x, y)
   test_abs_pos(1(x), y) -> test_abs_pos(x, y)
   test_abs_pos(j(x), y) -> test_abs_neg(x, y)
   test_abs_neg(#, x) -> opp(x)
   test_abs_neg(0(x), y) -> test_abs_neg(x, y)
   test_abs_neg(1(x), y) -> test_abs_pos(x, y)
   test_abs_neg(j(x), y) -> test_abs_neg(x, y)
   signe(#) -> #

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job log

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actions all output return to TRS Equational