details

property	value
status	complete
benchmark	ExAppendixB_AEL03_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	45.0105159283 seconds
cpu usage	168.096972758
max memory	4.269498368E9

stage attributes

key	value
output-size	146700
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 38 ms] (2) QDP (3) QDPOrderProof [EQUIVALENT, 405 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) QDP (7) QDPOrderProof [EQUIVALENT, 458 ms] (8) QDP (9) QDPOrderProof [EQUIVALENT, 382 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 465 ms] (14) QDP (15) QDPOrderProof [EQUIVALENT, 491 ms] (16) QDP (17) DependencyGraphProof [EQUIVALENT, 0 ms] (18) QDP (19) QDPOrderProof [EQUIVALENT, 342 ms] (20) QDP (21) QDPOrderProof [EQUIVALENT, 386 ms] (22) QDP (23) QDPOrderProof [EQUIVALENT, 314 ms] (24) QDP (25) QDPOrderProof [EQUIVALENT, 432 ms] (26) QDP (27) QDPOrderProof [EQUIVALENT, 364 ms] (28) QDP (29) QDPOrderProof [EQUIVALENT, 440 ms] (30) QDP (31) QDPOrderProof [EQUIVALENT, 359 ms] (32) QDP (33) QDPOrderProof [EQUIVALENT, 319 ms] (34) QDP (35) QDPOrderProof [EQUIVALENT, 366 ms] (36) QDP (37) QDPOrderProof [EQUIVALENT, 348 ms] (38) QDP (39) QDPOrderProof [EQUIVALENT, 590 ms] (40) QDP (41) DependencyGraphProof [EQUIVALENT, 0 ms] (42) QDP (43) UsableRulesProof [EQUIVALENT, 0 ms] (44) QDP (45) QDPSizeChangeProof [EQUIVALENT, 0 ms] (46) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) a__2ndspos(0, Z) -> rnil a__2ndspos(s(N), cons(X, Z)) -> a__2ndspos(s(mark(N)), cons2(X, mark(Z))) a__2ndspos(s(N), cons2(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) a__2ndsneg(0, Z) -> rnil a__2ndsneg(s(N), cons(X, Z)) -> a__2ndsneg(s(mark(N)), cons2(X, mark(Z))) a__2ndsneg(s(N), cons2(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) a__pi(X) -> a__2ndspos(mark(X), a__from(0)) a__plus(0, Y) -> mark(Y) a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) a__times(0, Y) -> 0 a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) a__square(X) -> a__times(mark(X), mark(X)) mark(from(X)) -> a__from(mark(X)) mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) mark(pi(X)) -> a__pi(mark(X)) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) mark(square(X)) -> a__square(mark(X)) mark(0) -> 0 mark(s(X)) -> s(mark(X)) mark(posrecip(X)) -> posrecip(mark(X)) mark(negrecip(X)) -> negrecip(mark(X)) mark(nil) -> nil mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(cons2(X1, X2)) -> cons2(X1, mark(X2)) mark(rnil) -> rnil mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) a__from(X) -> from(X) a__2ndspos(X1, X2) -> 2ndspos(X1, X2) popout

output may be truncated. 'popout' for the full output.

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actions

all output return to TRS Stand 20472