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TRS_Equational 2019-03-21 05.09 pair #429997231
details
property
value
status
complete
benchmark
AC21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.74387 seconds
cpu usage
15.4069
user time
14.8373
system time
0.569622
max virtual memory
1.83454E7
max residence set size
1136356.0
stage attributes
key
value
starexec-result
YES
output
15.15/5.59 YES 15.15/5.60 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 15.15/5.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 15.15/5.60 15.15/5.60 15.15/5.60 Termination of the given ETRS could be proven: 15.15/5.60 15.15/5.60 (0) ETRS 15.15/5.60 (1) EquationalDependencyPairsProof [EQUIVALENT, 370 ms] 15.15/5.60 (2) EDP 15.15/5.60 (3) EDependencyGraphProof [EQUIVALENT, 0 ms] 15.15/5.60 (4) AND 15.15/5.60 (5) EDP 15.15/5.60 (6) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 15.15/5.60 (7) EDP 15.15/5.60 (8) EUsableRulesReductionPairsProof [EQUIVALENT, 7 ms] 15.15/5.60 (9) EDP 15.15/5.60 (10) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] 15.15/5.60 (11) QDP 15.15/5.60 (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.15/5.60 (13) YES 15.15/5.60 (14) EDP 15.15/5.60 (15) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 15.15/5.60 (16) EDP 15.15/5.60 (17) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 15.15/5.60 (18) EDP 15.15/5.60 (19) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] 15.15/5.60 (20) QDP 15.15/5.60 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.15/5.60 (22) YES 15.15/5.60 (23) EDP 15.15/5.60 (24) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 15.15/5.60 (25) EDP 15.15/5.60 (26) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 15.15/5.60 (27) EDP 15.15/5.60 (28) PisEmptyProof [EQUIVALENT, 0 ms] 15.15/5.60 (29) YES 15.15/5.60 (30) EDP 15.15/5.60 (31) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 15.15/5.60 (32) EDP 15.15/5.60 (33) EUsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 15.15/5.60 (34) EDP 15.15/5.60 (35) EDPProblemToQDPProblemProof [EQUIVALENT, 0 ms] 15.15/5.60 (36) QDP 15.15/5.60 (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.15/5.60 (38) YES 15.15/5.60 (39) EDP 15.15/5.60 (40) ESharpUsableEquationsProof [EQUIVALENT, 201 ms] 15.15/5.60 (41) EDP 15.15/5.60 (42) EUsableRulesReductionPairsProof [EQUIVALENT, 237 ms] 15.15/5.60 (43) EDP 15.15/5.60 (44) ERuleRemovalProof [EQUIVALENT, 67 ms] 15.15/5.60 (45) EDP 15.15/5.60 (46) EDPPoloProof [EQUIVALENT, 13 ms] 15.15/5.60 (47) EDP 15.15/5.60 (48) PisEmptyProof [EQUIVALENT, 0 ms] 15.15/5.60 (49) YES 15.15/5.60 (50) EDP 15.15/5.60 (51) ESharpUsableEquationsProof [EQUIVALENT, 0 ms] 15.15/5.60 (52) EDP 15.15/5.60 (53) EDPPoloProof [EQUIVALENT, 257 ms] 15.15/5.60 (54) EDP 15.15/5.60 (55) EDPPoloProof [EQUIVALENT, 208 ms] 15.15/5.60 (56) EDP 15.15/5.60 (57) EDPPoloProof [EQUIVALENT, 184 ms] 15.15/5.60 (58) EDP 15.15/5.60 (59) EDPPoloProof [EQUIVALENT, 32 ms] 15.15/5.60 (60) EDP 15.15/5.60 (61) PisEmptyProof [EQUIVALENT, 0 ms] 15.15/5.60 (62) YES 15.15/5.60 15.15/5.60 15.15/5.60 ---------------------------------------- 15.15/5.60 15.15/5.60 (0) 15.15/5.60 Obligation: 15.15/5.60 Equational rewrite system: 15.15/5.60 The TRS R consists of the following rules: 15.15/5.60 15.15/5.60 0(S) -> S 15.15/5.60 plus(S, x) -> x 15.15/5.60 plus(0(x), 0(y)) -> 0(plus(x, y)) 15.15/5.60 plus(0(x), 1(y)) -> 1(plus(x, y)) 15.15/5.60 plus(0(x), j(y)) -> j(plus(x, y)) 15.15/5.60 plus(1(x), 1(y)) -> j(plus(1(S), plus(x, y))) 15.15/5.60 plus(j(x), j(y)) -> 1(plus(j(S), plus(x, y))) 15.15/5.60 plus(1(x), j(y)) -> 0(plus(x, y)) 15.15/5.60 opp(S) -> S 15.15/5.60 opp(0(x)) -> 0(opp(x)) 15.15/5.60 opp(1(x)) -> j(opp(x)) 15.15/5.60 opp(j(x)) -> 1(opp(x)) 15.15/5.60 minus(x, y) -> plus(opp(y), x) 15.15/5.60 times(S, x) -> S 15.15/5.60 times(0(x), y) -> 0(times(x, y)) 15.15/5.60 times(1(x), y) -> plus(0(times(x, y)), y) 15.15/5.60 times(j(x), y) -> minus(0(times(x, y)), y) 15.15/5.60 sign(x) -> if_sign(x, S) 15.15/5.60 if_sign(S, x) -> x 15.15/5.60 if_sign(0(x), y) -> if_sign(x, y) 15.15/5.60 if_sign(1(x), y) -> if_sign(x, 1(S))
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