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TRS_Innermost 2019-03-28 22.12 pair #432271224
details
property
value
status
complete
benchmark
Ex1_2_AEL03_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n109.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
44.0253 seconds
cpu usage
168.786
user time
165.843
system time
2.94282
max virtual memory
3.8048592E7
max residence set size
4156664.0
stage attributes
key
value
starexec-result
YES
output
167.44/43.65 YES 167.99/43.80 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 167.99/43.80 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 167.99/43.80 167.99/43.80 167.99/43.80 Termination w.r.t. Q of the given QTRS could be proven: 167.99/43.80 167.99/43.80 (0) QTRS 167.99/43.80 (1) DependencyPairsProof [EQUIVALENT, 50 ms] 167.99/43.80 (2) QDP 167.99/43.80 (3) TransformationProof [EQUIVALENT, 70 ms] 167.99/43.80 (4) QDP 167.99/43.80 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 167.99/43.80 (6) QDP 167.99/43.80 (7) QDPOrderProof [EQUIVALENT, 402 ms] 167.99/43.80 (8) QDP 167.99/43.80 (9) QDPOrderProof [EQUIVALENT, 317 ms] 167.99/43.80 (10) QDP 167.99/43.80 (11) QDPOrderProof [EQUIVALENT, 348 ms] 167.99/43.80 (12) QDP 167.99/43.80 (13) QDPOrderProof [EQUIVALENT, 270 ms] 167.99/43.80 (14) QDP 167.99/43.80 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 167.99/43.80 (16) QDP 167.99/43.80 (17) QDPOrderProof [EQUIVALENT, 285 ms] 167.99/43.80 (18) QDP 167.99/43.80 (19) DependencyGraphProof [EQUIVALENT, 0 ms] 167.99/43.80 (20) QDP 167.99/43.80 (21) QDPOrderProof [EQUIVALENT, 309 ms] 167.99/43.80 (22) QDP 167.99/43.80 (23) QDPOrderProof [EQUIVALENT, 235 ms] 167.99/43.80 (24) QDP 167.99/43.80 (25) DependencyGraphProof [EQUIVALENT, 0 ms] 167.99/43.80 (26) QDP 167.99/43.80 (27) QDPOrderProof [EQUIVALENT, 265 ms] 167.99/43.80 (28) QDP 167.99/43.80 (29) QDPOrderProof [EQUIVALENT, 281 ms] 167.99/43.80 (30) QDP 167.99/43.80 (31) QDPOrderProof [EQUIVALENT, 280 ms] 167.99/43.80 (32) QDP 167.99/43.80 (33) QDPOrderProof [EQUIVALENT, 203 ms] 167.99/43.80 (34) QDP 167.99/43.80 (35) QDPOrderProof [EQUIVALENT, 270 ms] 167.99/43.80 (36) QDP 167.99/43.80 (37) QDPOrderProof [EQUIVALENT, 249 ms] 167.99/43.80 (38) QDP 167.99/43.80 (39) QDPOrderProof [EQUIVALENT, 308 ms] 167.99/43.80 (40) QDP 167.99/43.80 (41) QDPOrderProof [EQUIVALENT, 295 ms] 167.99/43.80 (42) QDP 167.99/43.80 (43) DependencyGraphProof [EQUIVALENT, 0 ms] 167.99/43.80 (44) AND 167.99/43.80 (45) QDP 167.99/43.80 (46) QDPOrderProof [EQUIVALENT, 202 ms] 167.99/43.80 (47) QDP 167.99/43.80 (48) QDPOrderProof [EQUIVALENT, 212 ms] 167.99/43.80 (49) QDP 167.99/43.80 (50) QDPOrderProof [EQUIVALENT, 152 ms] 167.99/43.80 (51) QDP 167.99/43.80 (52) QDPOrderProof [EQUIVALENT, 75 ms] 167.99/43.80 (53) QDP 167.99/43.80 (54) QDPOrderProof [EQUIVALENT, 310 ms] 167.99/43.80 (55) QDP 167.99/43.80 (56) QDPOrderProof [EQUIVALENT, 256 ms] 167.99/43.80 (57) QDP 167.99/43.80 (58) PisEmptyProof [EQUIVALENT, 0 ms] 167.99/43.80 (59) YES 167.99/43.80 (60) QDP 167.99/43.80 (61) QDPOrderProof [EQUIVALENT, 293 ms] 167.99/43.80 (62) QDP 167.99/43.80 (63) PisEmptyProof [EQUIVALENT, 0 ms] 167.99/43.80 (64) YES 167.99/43.80 167.99/43.80 167.99/43.80 ---------------------------------------- 167.99/43.80 167.99/43.80 (0) 167.99/43.80 Obligation: 167.99/43.80 Q restricted rewrite system: 167.99/43.80 The TRS R consists of the following rules: 167.99/43.80 167.99/43.80 a__from(X) -> cons(mark(X), from(s(X))) 167.99/43.80 a__2ndspos(0, Z) -> rnil 167.99/43.80 a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) 167.99/43.80 a__2ndsneg(0, Z) -> rnil 167.99/43.80 a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) 167.99/43.80 a__pi(X) -> a__2ndspos(mark(X), a__from(0)) 167.99/43.80 a__plus(0, Y) -> mark(Y) 167.99/43.80 a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) 167.99/43.80 a__times(0, Y) -> 0 167.99/43.80 a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) 167.99/43.80 a__square(X) -> a__times(mark(X), mark(X)) 167.99/43.80 mark(from(X)) -> a__from(mark(X)) 167.99/43.80 mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) 167.99/43.80 mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) 167.99/43.80 mark(pi(X)) -> a__pi(mark(X)) 167.99/43.80 mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) 167.99/43.80 mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) 167.99/43.80 mark(square(X)) -> a__square(mark(X)) 167.99/43.80 mark(0) -> 0
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