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TRS_Outermost 2019-04-01 06.45 pair #433314833
details
property
value
status
complete
benchmark
cariboo_nl_3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n118.star.cs.uiowa.edu
space
Zantema_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
87.5753 seconds
cpu usage
135.935
user time
130.103
system time
5.83202
max virtual memory
1.8343352E7
max residence set size
5563184.0
stage attributes
key
value
starexec-result
MAYBE
output
135.78/87.50 MAYBE 135.78/87.52 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 135.78/87.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 135.78/87.52 135.78/87.52 135.78/87.52 Outermost Termination of the given OTRS could not be shown: 135.78/87.52 135.78/87.52 (0) OTRS 135.78/87.52 (1) Thiemann-SpecialC-Transformation [EQUIVALENT, 0 ms] 135.78/87.52 (2) QTRS 135.78/87.52 (3) QTRSRRRProof [EQUIVALENT, 55 ms] 135.78/87.52 (4) QTRS 135.78/87.52 (5) DependencyPairsProof [EQUIVALENT, 0 ms] 135.78/87.52 (6) QDP 135.78/87.52 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 135.78/87.52 (8) AND 135.78/87.52 (9) QDP 135.78/87.52 (10) UsableRulesProof [EQUIVALENT, 0 ms] 135.78/87.52 (11) QDP 135.78/87.52 (12) QReductionProof [EQUIVALENT, 0 ms] 135.78/87.52 (13) QDP 135.78/87.52 (14) UsableRulesReductionPairsProof [EQUIVALENT, 2 ms] 135.78/87.52 (15) QDP 135.78/87.52 (16) MRRProof [EQUIVALENT, 0 ms] 135.78/87.52 (17) QDP 135.78/87.52 (18) MRRProof [EQUIVALENT, 0 ms] 135.78/87.52 (19) QDP 135.78/87.52 (20) DependencyGraphProof [EQUIVALENT, 0 ms] 135.78/87.52 (21) QDP 135.78/87.52 (22) QReductionProof [EQUIVALENT, 0 ms] 135.78/87.52 (23) QDP 135.78/87.52 (24) MRRProof [EQUIVALENT, 7 ms] 135.78/87.52 (25) QDP 135.78/87.52 (26) PisEmptyProof [EQUIVALENT, 0 ms] 135.78/87.52 (27) YES 135.78/87.52 (28) QDP 135.78/87.52 (29) UsableRulesProof [EQUIVALENT, 0 ms] 135.78/87.52 (30) QDP 135.78/87.52 (31) QReductionProof [EQUIVALENT, 0 ms] 135.78/87.52 (32) QDP 135.78/87.52 (33) TransformationProof [SOUND, 0 ms] 135.78/87.52 (34) QDP 135.78/87.52 (35) QReductionProof [EQUIVALENT, 0 ms] 135.78/87.52 (36) QDP 135.78/87.52 (37) UsableRulesProof [EQUIVALENT, 0 ms] 135.78/87.52 (38) QDP 135.78/87.52 (39) QReductionProof [EQUIVALENT, 0 ms] 135.78/87.52 (40) QDP 135.78/87.52 (41) QReductionProof [EQUIVALENT, 0 ms] 135.78/87.52 (42) QDP 135.78/87.52 (43) Trivial-Transformation [SOUND, 0 ms] 135.78/87.52 (44) QTRS 135.78/87.52 (45) QTRSRRRProof [EQUIVALENT, 58 ms] 135.78/87.52 (46) QTRS 135.78/87.52 (47) DependencyPairsProof [EQUIVALENT, 0 ms] 135.78/87.52 (48) QDP 135.78/87.52 (49) DependencyGraphProof [EQUIVALENT, 0 ms] 135.78/87.52 (50) QDP 135.78/87.52 (51) UsableRulesProof [EQUIVALENT, 0 ms] 135.78/87.52 (52) QDP 135.78/87.52 (53) NonTerminationLoopProof [COMPLETE, 0 ms] 135.78/87.52 (54) NO 135.78/87.52 135.78/87.52 135.78/87.52 ---------------------------------------- 135.78/87.52 135.78/87.52 (0) 135.78/87.52 Obligation: 135.78/87.52 Term rewrite system R: 135.78/87.52 The TRS R consists of the following rules: 135.78/87.52 135.78/87.52 f(g(a, a)) -> f(s(g(b, b))) 135.78/87.52 f(f(x)) -> b 135.78/87.52 g(x, x) -> f(g(x, x)) 135.78/87.52 135.78/87.52 135.78/87.52 135.78/87.52 Outermost Strategy. 135.78/87.52 135.78/87.52 ---------------------------------------- 135.78/87.52 135.78/87.52 (1) Thiemann-SpecialC-Transformation (EQUIVALENT) 135.78/87.52 We applied the Thiemann-SpecialC transformation to transform the outermost TRS to an innermost TRS. 135.78/87.52 ---------------------------------------- 135.78/87.52 135.78/87.52 (2) 135.78/87.52 Obligation: 135.78/87.52 Q restricted rewrite system: 135.78/87.52 The TRS R consists of the following rules: 135.78/87.52 135.78/87.52 top(go_up(x)) -> top(reduce(x)) 135.78/87.52 reduce(f(x_1)) -> check_f(redex_f(x_1)) 135.78/87.52 reduce(g(x_1, x_2)) -> check_g(redex_g(x_1, x_2)) 135.78/87.52 redex_f(g(a, a)) -> result_f(f(s(g(b, b)))) 135.78/87.52 redex_f(f(x)) -> result_f(b) 135.78/87.52 redex_g(x, x) -> result_g(f(g(x, x))) 135.78/87.52 check_f(result_f(x)) -> go_up(x) 135.78/87.52 check_g(result_g(x)) -> go_up(x) 135.78/87.52 check_f(redex_f(x_1)) -> in_f_1(reduce(x_1)) 135.78/87.52 check_g(redex_g(x_1, x_2)) -> in_g_1(reduce(x_1), x_2)
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