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TRS_Innermost 2019-03-28 22.12 pair #432270924
details
property
value
status
complete
benchmark
Ex6_9_Luc02c_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)
6.12782 seconds
cpu usage
17.53
user time
16.7794
system time
0.750647
max virtual memory
3.790776E7
max residence set size
1114528.0
stage attributes
key
value
starexec-result
YES
output
17.37/6.05 YES 17.37/6.07 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 17.37/6.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 17.37/6.07 17.37/6.07 17.37/6.07 Termination w.r.t. Q of the given QTRS could be proven: 17.37/6.07 17.37/6.07 (0) QTRS 17.37/6.07 (1) DependencyPairsProof [EQUIVALENT, 15 ms] 17.37/6.07 (2) QDP 17.37/6.07 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 17.37/6.07 (4) AND 17.37/6.07 (5) QDP 17.37/6.07 (6) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/6.07 (7) QDP 17.37/6.07 (8) QReductionProof [EQUIVALENT, 0 ms] 17.37/6.07 (9) QDP 17.37/6.07 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/6.07 (11) YES 17.37/6.07 (12) QDP 17.37/6.07 (13) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/6.07 (14) QDP 17.37/6.07 (15) QReductionProof [EQUIVALENT, 0 ms] 17.37/6.07 (16) QDP 17.37/6.07 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/6.07 (18) YES 17.37/6.07 (19) QDP 17.37/6.07 (20) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/6.07 (21) QDP 17.37/6.07 (22) QReductionProof [EQUIVALENT, 0 ms] 17.37/6.07 (23) QDP 17.37/6.07 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/6.07 (25) YES 17.37/6.07 (26) QDP 17.37/6.07 (27) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/6.07 (28) QDP 17.37/6.07 (29) QReductionProof [EQUIVALENT, 0 ms] 17.37/6.07 (30) QDP 17.37/6.07 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/6.07 (32) YES 17.37/6.07 (33) QDP 17.37/6.07 (34) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/6.07 (35) QDP 17.37/6.07 (36) QReductionProof [EQUIVALENT, 0 ms] 17.37/6.07 (37) QDP 17.37/6.07 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/6.07 (39) YES 17.37/6.07 (40) QDP 17.37/6.07 (41) QDPQMonotonicMRRProof [EQUIVALENT, 98 ms] 17.37/6.07 (42) QDP 17.37/6.07 (43) QDPQMonotonicMRRProof [EQUIVALENT, 60 ms] 17.37/6.07 (44) QDP 17.37/6.07 (45) QDPOrderProof [EQUIVALENT, 135 ms] 17.37/6.07 (46) QDP 17.37/6.07 (47) QDPOrderProof [EQUIVALENT, 180 ms] 17.37/6.07 (48) QDP 17.37/6.07 (49) DependencyGraphProof [EQUIVALENT, 0 ms] 17.37/6.07 (50) QDP 17.37/6.07 (51) QDPQMonotonicMRRProof [EQUIVALENT, 25 ms] 17.37/6.07 (52) QDP 17.37/6.07 (53) QDPOrderProof [EQUIVALENT, 112 ms] 17.37/6.07 (54) QDP 17.37/6.07 (55) DependencyGraphProof [EQUIVALENT, 0 ms] 17.37/6.07 (56) AND 17.37/6.07 (57) QDP 17.37/6.07 (58) QDPOrderProof [EQUIVALENT, 66 ms] 17.37/6.07 (59) QDP 17.37/6.07 (60) DependencyGraphProof [EQUIVALENT, 0 ms] 17.37/6.07 (61) TRUE 17.37/6.07 (62) QDP 17.37/6.07 (63) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/6.07 (64) QDP 17.37/6.07 (65) QReductionProof [EQUIVALENT, 0 ms] 17.37/6.07 (66) QDP 17.37/6.07 (67) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/6.07 (68) YES 17.37/6.07 17.37/6.07 17.37/6.07 ---------------------------------------- 17.37/6.07 17.37/6.07 (0) 17.37/6.07 Obligation: 17.37/6.07 Q restricted rewrite system: 17.37/6.07 The TRS R consists of the following rules: 17.37/6.07 17.37/6.07 active(2nd(cons1(X, cons(Y, Z)))) -> mark(Y) 17.37/6.07 active(2nd(cons(X, X1))) -> mark(2nd(cons1(X, X1))) 17.37/6.07 active(from(X)) -> mark(cons(X, from(s(X)))) 17.37/6.07 mark(2nd(X)) -> active(2nd(mark(X))) 17.37/6.07 mark(cons1(X1, X2)) -> active(cons1(mark(X1), mark(X2))) 17.37/6.07 mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) 17.37/6.07 mark(from(X)) -> active(from(mark(X))) 17.37/6.07 mark(s(X)) -> active(s(mark(X))) 17.37/6.07 2nd(mark(X)) -> 2nd(X) 17.37/6.07 2nd(active(X)) -> 2nd(X) 17.37/6.07 cons1(mark(X1), X2) -> cons1(X1, X2) 17.37/6.07 cons1(X1, mark(X2)) -> cons1(X1, X2) 17.37/6.07 cons1(active(X1), X2) -> cons1(X1, X2) 17.37/6.07 cons1(X1, active(X2)) -> cons1(X1, X2) 17.37/6.07 cons(mark(X1), X2) -> cons(X1, X2)
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