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TRS_Outermost 2019-04-01 06.45 pair #433314852
details
property
value
status
complete
benchmark
ex0.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
Zantema_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
77.1397 seconds
cpu usage
178.873
user time
171.141
system time
7.73224
max virtual memory
3.703946E7
max residence set size
4836184.0
stage attributes
key
value
starexec-result
MAYBE
output
178.67/77.06 MAYBE 178.67/77.07 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 178.67/77.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 178.67/77.07 178.67/77.07 178.67/77.07 Outermost Termination of the given OTRS could not be shown: 178.67/77.07 178.67/77.07 (0) OTRS 178.67/77.07 (1) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms] 178.67/77.07 (2) QTRS 178.67/77.07 (3) DependencyPairsProof [EQUIVALENT, 2 ms] 178.67/77.07 (4) QDP 178.67/77.07 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 178.67/77.07 (6) AND 178.67/77.07 (7) QDP 178.67/77.07 (8) UsableRulesProof [EQUIVALENT, 0 ms] 178.67/77.07 (9) QDP 178.67/77.07 (10) QReductionProof [EQUIVALENT, 0 ms] 178.67/77.07 (11) QDP 178.67/77.07 (12) MRRProof [EQUIVALENT, 0 ms] 178.67/77.07 (13) QDP 178.67/77.07 (14) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 178.67/77.07 (15) QDP 178.67/77.07 (16) UsableRulesReductionPairsProof [EQUIVALENT, 9 ms] 178.67/77.07 (17) QDP 178.67/77.07 (18) DependencyGraphProof [EQUIVALENT, 0 ms] 178.67/77.07 (19) TRUE 178.67/77.07 (20) QDP 178.67/77.07 (21) UsableRulesProof [EQUIVALENT, 0 ms] 178.67/77.07 (22) QDP 178.67/77.07 (23) QReductionProof [EQUIVALENT, 0 ms] 178.67/77.07 (24) QDP 178.67/77.07 (25) TransformationProof [EQUIVALENT, 0 ms] 178.67/77.07 (26) QDP 178.67/77.07 (27) UsableRulesProof [EQUIVALENT, 0 ms] 178.67/77.07 (28) QDP 178.67/77.07 (29) QReductionProof [EQUIVALENT, 0 ms] 178.67/77.07 (30) QDP 178.67/77.07 (31) Trivial-Transformation [SOUND, 0 ms] 178.67/77.07 (32) QTRS 178.67/77.07 (33) DependencyPairsProof [EQUIVALENT, 0 ms] 178.67/77.07 (34) QDP 178.67/77.07 (35) DependencyGraphProof [EQUIVALENT, 0 ms] 178.67/77.07 (36) QDP 178.67/77.07 (37) NonTerminationLoopProof [COMPLETE, 0 ms] 178.67/77.07 (38) NO 178.67/77.07 (39) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 178.67/77.07 (40) QTRS 178.67/77.07 (41) DependencyPairsProof [EQUIVALENT, 0 ms] 178.67/77.07 (42) QDP 178.67/77.07 (43) DependencyGraphProof [EQUIVALENT, 0 ms] 178.67/77.07 (44) AND 178.67/77.07 (45) QDP 178.67/77.07 (46) UsableRulesProof [EQUIVALENT, 0 ms] 178.67/77.07 (47) QDP 178.67/77.07 (48) QDPSizeChangeProof [EQUIVALENT, 0 ms] 178.67/77.07 (49) YES 178.67/77.07 (50) QDP 178.67/77.07 (51) TransformationProof [EQUIVALENT, 0 ms] 178.67/77.07 (52) QDP 178.67/77.07 (53) DependencyGraphProof [EQUIVALENT, 0 ms] 178.67/77.07 (54) QDP 178.67/77.07 (55) QDPOrderProof [EQUIVALENT, 17 ms] 178.67/77.07 (56) QDP 178.67/77.07 178.67/77.07 178.67/77.07 ---------------------------------------- 178.67/77.07 178.67/77.07 (0) 178.67/77.07 Obligation: 178.67/77.07 Term rewrite system R: 178.67/77.07 The TRS R consists of the following rules: 178.67/77.07 178.67/77.07 f(x, c) -> g(f(x, x)) 178.67/77.07 g(g(x)) -> c 178.67/77.07 178.67/77.07 178.67/77.07 178.67/77.07 Outermost Strategy. 178.67/77.07 178.67/77.07 ---------------------------------------- 178.67/77.07 178.67/77.07 (1) Thiemann-SpecialC-Transformation (EQUIVALENT) 178.67/77.07 We applied the Thiemann-SpecialC transformation to transform the outermost TRS to an innermost TRS. 178.67/77.07 ---------------------------------------- 178.67/77.07 178.67/77.07 (2) 178.67/77.07 Obligation: 178.67/77.07 Q restricted rewrite system: 178.67/77.07 The TRS R consists of the following rules: 178.67/77.07 178.67/77.07 top(go_up(x)) -> top(reduce(x)) 178.67/77.07 reduce(f(x_1, x_2)) -> check_f(redex_f(x_1, x_2)) 178.67/77.07 reduce(g(x_1)) -> check_g(redex_g(x_1)) 178.67/77.07 redex_f(x, c) -> result_f(g(f(x, x))) 178.67/77.07 redex_g(g(x)) -> result_g(c) 178.67/77.07 check_f(result_f(x)) -> go_up(x) 178.67/77.07 check_g(result_g(x)) -> go_up(x) 178.67/77.07 check_f(redex_f(x_1, x_2)) -> in_f_1(reduce(x_1), x_2) 178.67/77.07 check_f(redex_f(x_1, x_2)) -> in_f_2(x_1, reduce(x_2))
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