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TRS_Outermost 2019-04-01 06.45 pair #433314828
details
property
value
status
complete
benchmark
non-lin3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Mixed_outermost
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
84.2044 seconds
cpu usage
113.095
user time
107.876
system time
5.21868
max virtual memory
1.8449532E7
max residence set size
3933036.0
stage attributes
key
value
starexec-result
MAYBE
output
112.92/84.13 MAYBE 112.92/84.14 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 112.92/84.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 112.92/84.14 112.92/84.14 112.92/84.14 Outermost Termination of the given OTRS could not be shown: 112.92/84.14 112.92/84.14 (0) OTRS 112.92/84.14 (1) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms] 112.92/84.14 (2) QTRS 112.92/84.14 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 112.92/84.14 (4) QDP 112.92/84.14 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 112.92/84.14 (6) AND 112.92/84.14 (7) QDP 112.92/84.14 (8) UsableRulesProof [EQUIVALENT, 0 ms] 112.92/84.14 (9) QDP 112.92/84.14 (10) QReductionProof [EQUIVALENT, 0 ms] 112.92/84.14 (11) QDP 112.92/84.14 (12) UsableRulesReductionPairsProof [EQUIVALENT, 12 ms] 112.92/84.14 (13) QDP 112.92/84.14 (14) DependencyGraphProof [EQUIVALENT, 0 ms] 112.92/84.14 (15) TRUE 112.92/84.14 (16) QDP 112.92/84.14 (17) UsableRulesProof [EQUIVALENT, 0 ms] 112.92/84.14 (18) QDP 112.92/84.14 (19) QReductionProof [EQUIVALENT, 0 ms] 112.92/84.14 (20) QDP 112.92/84.14 (21) TransformationProof [EQUIVALENT, 0 ms] 112.92/84.14 (22) QDP 112.92/84.14 (23) TransformationProof [EQUIVALENT, 0 ms] 112.92/84.15 (24) QDP 112.92/84.15 (25) TransformationProof [EQUIVALENT, 0 ms] 112.92/84.15 (26) QDP 112.92/84.15 (27) TransformationProof [EQUIVALENT, 0 ms] 112.92/84.15 (28) QDP 112.92/84.15 (29) TransformationProof [EQUIVALENT, 0 ms] 112.92/84.15 (30) QDP 112.92/84.15 (31) QDPOrderProof [EQUIVALENT, 16 ms] 112.92/84.15 (32) QDP 112.92/84.15 (33) SplitQDPProof [EQUIVALENT, 0 ms] 112.92/84.15 (34) AND 112.92/84.15 (35) QDP 112.92/84.15 (36) SemLabProof [SOUND, 0 ms] 112.92/84.15 (37) QDP 112.92/84.15 (38) QDPOrderProof [EQUIVALENT, 19 ms] 112.92/84.15 (39) QDP 112.92/84.15 (40) QDPOrderProof [EQUIVALENT, 0 ms] 112.92/84.15 (41) QDP 112.92/84.15 (42) PisEmptyProof [SOUND, 0 ms] 112.92/84.15 (43) TRUE 112.92/84.15 (44) QDP 112.92/84.15 (45) UsableRulesProof [EQUIVALENT, 0 ms] 112.92/84.15 (46) QDP 112.92/84.15 (47) QReductionProof [EQUIVALENT, 0 ms] 112.92/84.15 (48) QDP 112.92/84.15 (49) Trivial-Transformation [SOUND, 0 ms] 112.92/84.15 (50) QTRS 112.92/84.15 (51) DependencyPairsProof [EQUIVALENT, 0 ms] 112.92/84.15 (52) QDP 112.92/84.15 (53) NonTerminationLoopProof [COMPLETE, 0 ms] 112.92/84.15 (54) NO 112.92/84.15 112.92/84.15 112.92/84.15 ---------------------------------------- 112.92/84.15 112.92/84.15 (0) 112.92/84.15 Obligation: 112.92/84.15 Term rewrite system R: 112.92/84.15 The TRS R consists of the following rules: 112.92/84.15 112.92/84.15 g(x, x) -> f(f(x, x), x) 112.92/84.15 f(x, x) -> g(g(x, x), x) 112.92/84.15 f(x, y) -> y 112.92/84.15 112.92/84.15 112.92/84.15 112.92/84.15 Outermost Strategy. 112.92/84.15 112.92/84.15 ---------------------------------------- 112.92/84.15 112.92/84.15 (1) Thiemann-SpecialC-Transformation (EQUIVALENT) 112.92/84.15 We applied the Thiemann-SpecialC transformation to transform the outermost TRS to an innermost TRS. 112.92/84.15 ---------------------------------------- 112.92/84.15 112.92/84.15 (2) 112.92/84.15 Obligation: 112.92/84.15 Q restricted rewrite system: 112.92/84.15 The TRS R consists of the following rules: 112.92/84.15 112.92/84.15 top(go_up(x)) -> top(reduce(x)) 112.92/84.15 reduce(g(x_1, x_2)) -> check_g(redex_g(x_1, x_2)) 112.92/84.15 reduce(f(x_1, x_2)) -> check_f(redex_f(x_1, x_2)) 112.92/84.15 redex_g(x, x) -> result_g(f(f(x, x), x)) 112.92/84.15 redex_f(x, x) -> result_f(g(g(x, x), x)) 112.92/84.15 redex_f(x, y) -> result_f(y) 112.92/84.15 check_g(result_g(x)) -> go_up(x) 112.92/84.15 check_f(result_f(x)) -> go_up(x) 112.92/84.15 check_g(redex_g(x_1, x_2)) -> in_g_1(reduce(x_1), x_2) 112.92/84.15 check_g(redex_g(x_1, x_2)) -> in_g_2(x_1, reduce(x_2))
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