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TRS_Innermost 2019-03-28 22.12 pair #432271278
details
property
value
status
complete
benchmark
Ex3_3_25_Bor03_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n158.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.03709 seconds
cpu usage
11.0655
user time
10.6455
system time
0.419976
max virtual memory
1.941256E7
max residence set size
843136.0
stage attributes
key
value
starexec-result
YES
output
10.75/6.43 YES 10.75/6.45 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 10.75/6.45 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.75/6.45 10.75/6.45 10.75/6.45 Termination w.r.t. Q of the given QTRS could be proven: 10.75/6.45 10.75/6.45 (0) QTRS 10.75/6.45 (1) DependencyPairsProof [EQUIVALENT, 84 ms] 10.75/6.45 (2) QDP 10.75/6.45 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 10.75/6.45 (4) AND 10.75/6.45 (5) QDP 10.75/6.45 (6) UsableRulesProof [EQUIVALENT, 0 ms] 10.75/6.45 (7) QDP 10.75/6.45 (8) QReductionProof [EQUIVALENT, 0 ms] 10.75/6.45 (9) QDP 10.75/6.45 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.75/6.45 (11) YES 10.75/6.45 (12) QDP 10.75/6.45 (13) UsableRulesProof [EQUIVALENT, 0 ms] 10.75/6.45 (14) QDP 10.75/6.45 (15) QReductionProof [EQUIVALENT, 0 ms] 10.75/6.45 (16) QDP 10.75/6.45 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.75/6.45 (18) YES 10.75/6.45 (19) QDP 10.75/6.45 (20) UsableRulesProof [EQUIVALENT, 0 ms] 10.75/6.45 (21) QDP 10.75/6.45 (22) QReductionProof [EQUIVALENT, 0 ms] 10.75/6.45 (23) QDP 10.75/6.45 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.75/6.45 (25) YES 10.75/6.45 (26) QDP 10.75/6.45 (27) UsableRulesProof [EQUIVALENT, 0 ms] 10.75/6.45 (28) QDP 10.75/6.45 (29) QReductionProof [EQUIVALENT, 0 ms] 10.75/6.45 (30) QDP 10.75/6.45 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.75/6.45 (32) YES 10.75/6.45 (33) QDP 10.75/6.45 (34) UsableRulesProof [EQUIVALENT, 0 ms] 10.75/6.45 (35) QDP 10.75/6.45 (36) QReductionProof [EQUIVALENT, 0 ms] 10.75/6.45 (37) QDP 10.75/6.45 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.75/6.45 (39) YES 10.75/6.45 (40) QDP 10.75/6.45 (41) UsableRulesProof [EQUIVALENT, 0 ms] 10.75/6.45 (42) QDP 10.75/6.45 (43) QReductionProof [EQUIVALENT, 0 ms] 10.75/6.45 (44) QDP 10.75/6.45 (45) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.75/6.45 (46) YES 10.75/6.45 (47) QDP 10.75/6.45 (48) QDPOrderProof [EQUIVALENT, 74 ms] 10.75/6.45 (49) QDP 10.75/6.45 (50) QDPOrderProof [EQUIVALENT, 26 ms] 10.75/6.45 (51) QDP 10.75/6.45 (52) QDPOrderProof [EQUIVALENT, 40 ms] 10.75/6.45 (53) QDP 10.75/6.45 (54) QDPOrderProof [EQUIVALENT, 22 ms] 10.75/6.45 (55) QDP 10.75/6.45 (56) DependencyGraphProof [EQUIVALENT, 0 ms] 10.75/6.45 (57) QDP 10.75/6.45 (58) UsableRulesProof [EQUIVALENT, 0 ms] 10.75/6.45 (59) QDP 10.75/6.45 (60) QReductionProof [EQUIVALENT, 0 ms] 10.75/6.45 (61) QDP 10.75/6.45 (62) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.75/6.45 (63) YES 10.75/6.45 10.75/6.45 10.75/6.45 ---------------------------------------- 10.75/6.45 10.75/6.45 (0) 10.75/6.45 Obligation: 10.75/6.45 Q restricted rewrite system: 10.75/6.45 The TRS R consists of the following rules: 10.75/6.45 10.75/6.45 active(app(nil, YS)) -> mark(YS) 10.75/6.45 active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))) 10.75/6.45 active(from(X)) -> mark(cons(X, from(s(X)))) 10.75/6.45 active(zWadr(nil, YS)) -> mark(nil) 10.75/6.45 active(zWadr(XS, nil)) -> mark(nil) 10.75/6.45 active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil)), zWadr(XS, YS))) 10.75/6.45 active(prefix(L)) -> mark(cons(nil, zWadr(L, prefix(L)))) 10.75/6.45 mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))) 10.75/6.45 mark(nil) -> active(nil) 10.75/6.45 mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) 10.75/6.45 mark(from(X)) -> active(from(mark(X))) 10.75/6.45 mark(s(X)) -> active(s(mark(X))) 10.75/6.45 mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))) 10.75/6.45 mark(prefix(X)) -> active(prefix(mark(X))) 10.75/6.45 app(mark(X1), X2) -> app(X1, X2) 10.75/6.45 app(X1, mark(X2)) -> app(X1, X2) 10.75/6.45 app(active(X1), X2) -> app(X1, X2) 10.75/6.45 app(X1, active(X2)) -> app(X1, X2) 10.75/6.45 cons(mark(X1), X2) -> cons(X1, X2) 10.75/6.45 cons(X1, mark(X2)) -> cons(X1, X2)
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