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TRS Standard pair #487070423
details
property
value
status
complete
benchmark
Ex49_GM04_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.38712 seconds
cpu usage
14.3853
user time
13.7955
system time
0.589835
max virtual memory
1.882372E7
max residence set size
949568.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 57 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) UsableRulesProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] (14) YES (15) QDP (16) UsableRulesProof [EQUIVALENT, 0 ms] (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] (19) YES (20) QDP (21) UsableRulesProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) UsableRulesProof [EQUIVALENT, 0 ms] (27) QDP (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] (29) YES (30) QDP (31) QDPOrderProof [EQUIVALENT, 34 ms] (32) QDP (33) QDPOrderProof [EQUIVALENT, 24 ms] (34) QDP (35) QDPOrderProof [EQUIVALENT, 99 ms] (36) QDP (37) QDPOrderProof [EQUIVALENT, 125 ms] (38) QDP (39) QDPOrderProof [EQUIVALENT, 119 ms] (40) QDP (41) QDPOrderProof [EQUIVALENT, 34 ms] (42) QDP (43) PisEmptyProof [EQUIVALENT, 0 ms] (44) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(minus(0, Y)) -> mark(0) active(minus(s(X), s(Y))) -> mark(minus(X, Y)) active(geq(X, 0)) -> mark(true) active(geq(0, s(Y))) -> mark(false) active(geq(s(X), s(Y))) -> mark(geq(X, Y)) active(div(0, s(Y))) -> mark(0) active(div(s(X), s(Y))) -> mark(if(geq(X, Y), s(div(minus(X, Y), s(Y))), 0)) active(if(true, X, Y)) -> mark(X) active(if(false, X, Y)) -> mark(Y) mark(minus(X1, X2)) -> active(minus(X1, X2)) mark(0) -> active(0) mark(s(X)) -> active(s(mark(X))) mark(geq(X1, X2)) -> active(geq(X1, X2)) mark(true) -> active(true) mark(false) -> active(false) mark(div(X1, X2)) -> active(div(mark(X1), X2)) mark(if(X1, X2, X3)) -> active(if(mark(X1), X2, X3)) minus(mark(X1), X2) -> minus(X1, X2) minus(X1, mark(X2)) -> minus(X1, X2) minus(active(X1), X2) -> minus(X1, X2) minus(X1, active(X2)) -> minus(X1, X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) geq(mark(X1), X2) -> geq(X1, X2) geq(X1, mark(X2)) -> geq(X1, X2) geq(active(X1), X2) -> geq(X1, X2) geq(X1, active(X2)) -> geq(X1, X2) div(mark(X1), X2) -> div(X1, X2) div(X1, mark(X2)) -> div(X1, X2) div(active(X1), X2) -> div(X1, X2) div(X1, active(X2)) -> div(X1, X2) if(mark(X1), X2, X3) -> if(X1, X2, X3) if(X1, mark(X2), X3) -> if(X1, X2, X3) if(X1, X2, mark(X3)) -> if(X1, X2, X3) if(active(X1), X2, X3) -> if(X1, X2, X3) if(X1, active(X2), X3) -> if(X1, X2, X3) if(X1, X2, active(X3)) -> if(X1, X2, X3) Q is empty.
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