details

property	value
status	complete
benchmark	maude2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n051.star.cs.uiowa.edu
space	Mixed_C

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.49445 seconds
cpu usage	6.0151
user time	5.76212
system time	0.252985
max virtual memory	1.8282828E7
max residence set size	346544.0

stage attributes

key	value
starexec-result	MAYBE

output

5.75/2.45 MAYBE 5.75/2.46 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 5.75/2.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.75/2.46 5.75/2.46 5.75/2.46 Termination of the given ETRS could not be shown: 5.75/2.46 5.75/2.46 (0) ETRS 5.75/2.46 (1) EquationalDependencyPairsProof [EQUIVALENT, 0 ms] 5.75/2.46 (2) EDP 5.75/2.46 (3) EDependencyGraphProof [EQUIVALENT, 0 ms] 5.75/2.46 (4) AND 5.75/2.46 (5) EDP 5.75/2.46 (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 5.75/2.46 (7) EDP 5.75/2.46 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 10 ms] 5.75/2.46 (9) EDP 5.75/2.46 (10) PisEmptyProof [EQUIVALENT, 0 ms] 5.75/2.46 (11) YES 5.75/2.46 (12) EDP 5.75/2.46 (13) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 5.75/2.46 (14) EDP 5.75/2.46 (15) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 5.75/2.46 (16) EDP 5.75/2.46 (17) PisEmptyProof [EQUIVALENT, 0 ms] 5.75/2.46 (18) YES 5.75/2.46 (19) EDP 5.75/2.46 (20) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 5.75/2.46 (21) EDP 5.75/2.46 (22) EUsableRulesProof [EQUIVALENT, 0 ms] 5.75/2.46 (23) EDP 5.75/2.46 (24) EDP 5.75/2.46 (25) EDP 5.75/2.46 (26) EDP 5.75/2.46 5.75/2.46 5.75/2.46 ---------------------------------------- 5.75/2.46 5.75/2.46 (0) 5.75/2.46 Obligation: 5.75/2.46 Equational rewrite system: 5.75/2.46 The TRS R consists of the following rules: 5.75/2.46 5.75/2.46 p(s(N)) -> N 5.75/2.46 +(N, 0) -> N 5.75/2.46 +(s(N), s(M)) -> s(s(+(N, M))) 5.75/2.46 *(N, 0) -> 0 5.75/2.46 *(s(N), s(M)) -> s(+(N, +(M, *(N, M)))) 5.75/2.46 gt(0, M) -> False 5.75/2.46 gt(NzN, 0) -> u_4(is_NzNat(NzN)) 5.75/2.46 u_4(True) -> True 5.75/2.46 is_NzNat(0) -> False 5.75/2.46 is_NzNat(s(N)) -> True 5.75/2.46 gt(s(N), s(M)) -> gt(N, M) 5.75/2.46 lt(N, M) -> gt(M, N) 5.75/2.46 d(0, N) -> N 5.75/2.46 d(s(N), s(M)) -> d(N, M) 5.75/2.46 quot(N, NzM) -> u_11(is_NzNat(NzM), N, NzM) 5.75/2.46 u_11(True, N, NzM) -> u_1(gt(N, NzM), N, NzM) 5.75/2.46 u_1(True, N, NzM) -> s(quot(d(N, NzM), NzM)) 5.75/2.46 quot(NzM, NzM) -> u_01(is_NzNat(NzM)) 5.75/2.46 u_01(True) -> s(0) 5.75/2.46 quot(N, NzM) -> u_21(is_NzNat(NzM), NzM, N) 5.75/2.46 u_21(True, NzM, N) -> u_2(gt(NzM, N)) 5.75/2.46 u_2(True) -> 0 5.75/2.46 gcd(0, N) -> 0 5.75/2.46 gcd(NzM, NzM) -> u_02(is_NzNat(NzM), NzM) 5.75/2.46 u_02(True, NzM) -> NzM 5.75/2.46 gcd(NzN, NzM) -> u_31(is_NzNat(NzN), is_NzNat(NzM), NzN, NzM) 5.75/2.46 u_31(True, True, NzN, NzM) -> u_3(gt(NzN, NzM), NzN, NzM) 5.75/2.46 u_3(True, NzN, NzM) -> gcd(d(NzN, NzM), NzM) 5.75/2.46 5.75/2.46 The set E consists of the following equations: 5.75/2.46 5.75/2.46 *(x, y) == *(y, x) 5.75/2.46 +(x, y) == +(y, x) 5.75/2.46 d(x, y) == d(y, x) 5.75/2.46 gcd(x, y) == gcd(y, x) 5.75/2.46 5.75/2.46 5.75/2.46 ---------------------------------------- 5.75/2.46 5.75/2.46 (1) EquationalDependencyPairsProof (EQUIVALENT) 5.75/2.46 Using Dependency Pairs [AG00,DA_STEIN] we result in the following initial EDP problem: 5.75/2.46 The TRS P consists of the following rules: 5.75/2.46 5.75/2.46 +^1(s(N), s(M)) -> +^1(N, M) 5.75/2.46 *^1(s(N), s(M)) -> +^1(N, +(M, *(N, M))) 5.75/2.46 *^1(s(N), s(M)) -> +^1(M, *(N, M)) 5.75/2.46 *^1(s(N), s(M)) -> *^1(N, M) 5.75/2.46 GT(NzN, 0) -> U_4(is_NzNat(NzN)) 5.75/2.46 GT(NzN, 0) -> IS_NZNAT(NzN) 5.75/2.46 GT(s(N), s(M)) -> GT(N, M) 5.75/2.46 LT(N, M) -> GT(M, N) 5.75/2.46 D(s(N), s(M)) -> D(N, M) 5.75/2.46 QUOT(N, NzM) -> U_11(is_NzNat(NzM), N, NzM) 5.75/2.46 QUOT(N, NzM) -> IS_NZNAT(NzM) 5.75/2.46 U_11(True, N, NzM) -> U_1(gt(N, NzM), N, NzM) 5.75/2.46 U_11(True, N, NzM) -> GT(N, NzM) 5.75/2.46 U_1(True, N, NzM) -> QUOT(d(N, NzM), NzM) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS_Equational 2019-03-21 05.09