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C_Integer 2019-03-28 22.15 pair #432271813
details
property
value
status
complete
benchmark
BrockschmidtCookFuhs-CAV2013-Introduction_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n004.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
3.32782 seconds
cpu usage
9.41304
user time
8.86884
system time
0.544202
max virtual memory
2.021462E7
max residence set size
860040.0
stage attributes
key
value
starexec-result
YES
output
9.22/3.24 YES 9.22/3.26 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 9.22/3.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.22/3.26 9.22/3.26 9.22/3.26 Termination of the given C Problem could be proven: 9.22/3.26 9.22/3.26 (0) C Problem 9.22/3.26 (1) CToIRSProof [EQUIVALENT, 0 ms] 9.22/3.26 (2) IntTRS 9.22/3.26 (3) TerminationGraphProcessor [SOUND, 52 ms] 9.22/3.26 (4) IntTRS 9.22/3.26 (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] 9.22/3.26 (6) IntTRS 9.22/3.26 (7) CaseAnalysis [EQUIVALENT, 16 ms] 9.22/3.26 (8) AND 9.22/3.26 (9) IntTRS 9.22/3.26 (10) IntTRSCompressionProof [EQUIVALENT, 1 ms] 9.22/3.26 (11) IntTRS 9.22/3.26 (12) RankingReductionPairProof [EQUIVALENT, 0 ms] 9.22/3.26 (13) YES 9.22/3.26 (14) IntTRS 9.22/3.26 (15) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 9.22/3.26 (16) YES 9.22/3.26 9.22/3.26 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (0) 9.22/3.26 Obligation: 9.22/3.26 c file /export/starexec/sandbox/benchmark/theBenchmark.c 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (1) CToIRSProof (EQUIVALENT) 9.22/3.26 Parsed C Integer Program as IRS. 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (2) 9.22/3.26 Obligation: 9.22/3.26 Rules: 9.22/3.26 f1(x, y) -> f2(x_1, y) :|: TRUE 9.22/3.26 f2(x1, x2) -> f3(x1, 1) :|: TRUE 9.22/3.26 f4(x3, x4) -> f5(arith, x4) :|: TRUE && arith = x3 - x4 9.22/3.26 f5(x13, x14) -> f6(x13, x15) :|: TRUE && x15 = x14 + 1 9.22/3.26 f3(x7, x8) -> f4(x7, x8) :|: x7 > 0 9.22/3.26 f6(x9, x10) -> f3(x9, x10) :|: TRUE 9.22/3.26 f3(x11, x12) -> f7(x11, x12) :|: x11 <= 0 9.22/3.26 Start term: f1(x, y) 9.22/3.26 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (3) TerminationGraphProcessor (SOUND) 9.22/3.26 Constructed the termination graph and obtained one non-trivial SCC. 9.22/3.26 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (4) 9.22/3.26 Obligation: 9.22/3.26 Rules: 9.22/3.26 f3(x7, x8) -> f4(x7, x8) :|: x7 > 0 9.22/3.26 f6(x9, x10) -> f3(x9, x10) :|: TRUE 9.22/3.26 f5(x13, x14) -> f6(x13, x15) :|: TRUE && x15 = x14 + 1 9.22/3.26 f4(x3, x4) -> f5(arith, x4) :|: TRUE && arith = x3 - x4 9.22/3.26 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (5) IntTRSCompressionProof (EQUIVALENT) 9.22/3.26 Compressed rules. 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (6) 9.22/3.26 Obligation: 9.22/3.26 Rules: 9.22/3.26 f5(x13:0, x14:0) -> f5(x13:0 - (x14:0 + 1), x14:0 + 1) :|: x13:0 > 0 9.22/3.26 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (7) CaseAnalysis (EQUIVALENT) 9.22/3.26 Found the following inductive condition: 9.22/3.26 f5(x0, x1): x1>=0 9.22/3.26 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (8) 9.22/3.26 Complex Obligation (AND) 9.22/3.26 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (9) 9.22/3.26 Obligation: 9.22/3.26 Rules: 9.22/3.26 f5(x13:0, x14:0) -> f5(x13:0 - (x14:0 + 1), x14:0 + 1) :|: x13:0 > 0 && x14:0 >= 0 9.22/3.26 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (10) IntTRSCompressionProof (EQUIVALENT) 9.22/3.26 Compressed rules. 9.22/3.26 ---------------------------------------- 9.22/3.26 9.22/3.26 (11)
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