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TRS Standard pair #516965430
details
property
value
status
complete
benchmark
z27.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n094.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
14.26343894 seconds
cpu usage
32.929789693
max memory
1.87875328E9
stage attributes
key
value
output-size
39247
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) QDPOrderProof [EQUIVALENT, 13 ms] (4) QDP (5) SemLabProof [SOUND, 212 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (11) QDP (12) PisEmptyProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (16) QDP (17) PisEmptyProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (21) QDP (22) PisEmptyProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (26) QDP (27) PisEmptyProof [EQUIVALENT, 0 ms] (28) YES (29) QDP (30) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (31) QDP (32) PisEmptyProof [EQUIVALENT, 0 ms] (33) YES (34) QDP (35) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (36) QDP (37) PisEmptyProof [EQUIVALENT, 0 ms] (38) YES (39) QDP (40) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (41) QDP (42) PisEmptyProof [EQUIVALENT, 0 ms] (43) YES (44) QDP (45) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (46) QDP (47) PisEmptyProof [EQUIVALENT, 0 ms] (48) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(0, 1, x) -> f(g(x), g(x), x) f(g(x), y, z) -> g(f(x, y, z)) f(x, g(y), z) -> g(f(x, y, z)) f(x, y, g(z)) -> g(f(x, y, z)) Q is empty. ---------------------------------------- (1) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (2) Obligation: Q DP problem: The TRS P consists of the following rules: F(0, 1, x) -> F(g(x), g(x), x) F(g(x), y, z) -> F(x, y, z) F(x, g(y), z) -> F(x, y, z) F(x, y, g(z)) -> F(x, y, z) The TRS R consists of the following rules: f(0, 1, x) -> f(g(x), g(x), x) f(g(x), y, z) -> g(f(x, y, z)) f(x, g(y), z) -> g(f(x, y, z)) f(x, y, g(z)) -> g(f(x, y, z))
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