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TRS_Innermost 2019-03-28 22.12 pair #432270966
details
property
value
status
complete
benchmark
Ex4_7_56_Bor03_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.7154 seconds
cpu usage
17.4831
user time
16.7239
system time
0.759163
max virtual memory
3.7787544E7
max residence set size
1098096.0
stage attributes
key
value
starexec-result
YES
output
17.20/5.64 YES 17.37/5.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 17.37/5.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 17.37/5.65 17.37/5.65 17.37/5.65 Termination w.r.t. Q of the given QTRS could be proven: 17.37/5.65 17.37/5.65 (0) QTRS 17.37/5.65 (1) DependencyPairsProof [EQUIVALENT, 5 ms] 17.37/5.65 (2) QDP 17.37/5.65 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 17.37/5.65 (4) AND 17.37/5.65 (5) QDP 17.37/5.65 (6) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/5.65 (7) QDP 17.37/5.65 (8) QReductionProof [EQUIVALENT, 0 ms] 17.37/5.65 (9) QDP 17.37/5.65 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/5.65 (11) YES 17.37/5.65 (12) QDP 17.37/5.65 (13) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/5.65 (14) QDP 17.37/5.65 (15) QReductionProof [EQUIVALENT, 0 ms] 17.37/5.65 (16) QDP 17.37/5.65 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/5.65 (18) YES 17.37/5.65 (19) QDP 17.37/5.65 (20) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/5.65 (21) QDP 17.37/5.65 (22) QReductionProof [EQUIVALENT, 0 ms] 17.37/5.65 (23) QDP 17.37/5.65 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/5.65 (25) YES 17.37/5.65 (26) QDP 17.37/5.65 (27) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/5.65 (28) QDP 17.37/5.65 (29) QReductionProof [EQUIVALENT, 0 ms] 17.37/5.65 (30) QDP 17.37/5.65 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/5.65 (32) YES 17.37/5.65 (33) QDP 17.37/5.65 (34) QDPQMonotonicMRRProof [EQUIVALENT, 74 ms] 17.37/5.65 (35) QDP 17.37/5.65 (36) QDPQMonotonicMRRProof [EQUIVALENT, 40 ms] 17.37/5.65 (37) QDP 17.37/5.65 (38) QDPOrderProof [EQUIVALENT, 118 ms] 17.37/5.65 (39) QDP 17.37/5.65 (40) QDPOrderProof [EQUIVALENT, 116 ms] 17.37/5.65 (41) QDP 17.37/5.65 (42) QDPOrderProof [EQUIVALENT, 82 ms] 17.37/5.65 (43) QDP 17.37/5.65 (44) QDPOrderProof [EQUIVALENT, 68 ms] 17.37/5.65 (45) QDP 17.37/5.65 (46) QDPOrderProof [EQUIVALENT, 80 ms] 17.37/5.65 (47) QDP 17.37/5.65 (48) DependencyGraphProof [EQUIVALENT, 0 ms] 17.37/5.65 (49) AND 17.37/5.65 (50) QDP 17.37/5.65 (51) QDPQMonotonicMRRProof [EQUIVALENT, 28 ms] 17.37/5.65 (52) QDP 17.37/5.65 (53) DependencyGraphProof [EQUIVALENT, 0 ms] 17.37/5.65 (54) TRUE 17.37/5.65 (55) QDP 17.37/5.65 (56) UsableRulesProof [EQUIVALENT, 0 ms] 17.37/5.65 (57) QDP 17.37/5.65 (58) QReductionProof [EQUIVALENT, 0 ms] 17.37/5.65 (59) QDP 17.37/5.65 (60) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.37/5.65 (61) YES 17.37/5.65 17.37/5.65 17.37/5.65 ---------------------------------------- 17.37/5.65 17.37/5.65 (0) 17.37/5.65 Obligation: 17.37/5.65 Q restricted rewrite system: 17.37/5.65 The TRS R consists of the following rules: 17.37/5.65 17.37/5.65 active(from(X)) -> mark(cons(X, from(s(X)))) 17.37/5.65 active(after(0, XS)) -> mark(XS) 17.37/5.65 active(after(s(N), cons(X, XS))) -> mark(after(N, XS)) 17.37/5.65 mark(from(X)) -> active(from(mark(X))) 17.37/5.65 mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) 17.37/5.65 mark(s(X)) -> active(s(mark(X))) 17.37/5.65 mark(after(X1, X2)) -> active(after(mark(X1), mark(X2))) 17.37/5.65 mark(0) -> active(0) 17.37/5.65 from(mark(X)) -> from(X) 17.37/5.65 from(active(X)) -> from(X) 17.37/5.65 cons(mark(X1), X2) -> cons(X1, X2) 17.37/5.65 cons(X1, mark(X2)) -> cons(X1, X2) 17.37/5.65 cons(active(X1), X2) -> cons(X1, X2) 17.37/5.65 cons(X1, active(X2)) -> cons(X1, X2) 17.37/5.65 s(mark(X)) -> s(X) 17.37/5.65 s(active(X)) -> s(X) 17.37/5.65 after(mark(X1), X2) -> after(X1, X2) 17.37/5.65 after(X1, mark(X2)) -> after(X1, X2) 17.37/5.65 after(active(X1), X2) -> after(X1, X2) 17.37/5.65 after(X1, active(X2)) -> after(X1, X2) 17.37/5.65 17.37/5.65 The set Q consists of the following terms:
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