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C_Integer 2019-03-28 22.15 pair #432272428
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex2.01_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n118.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
3.20428 seconds
cpu usage
9.39934
user time
8.86237
system time
0.536971
max virtual memory
3.8134632E7
max residence set size
754808.0
stage attributes
key
value
starexec-result
YES
output
9.08/3.16 YES 9.08/3.17 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 9.08/3.17 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.08/3.17 9.08/3.17 9.08/3.17 Termination of the given C Problem could be proven: 9.08/3.17 9.08/3.17 (0) C Problem 9.08/3.17 (1) CToIRSProof [EQUIVALENT, 0 ms] 9.08/3.17 (2) IntTRS 9.08/3.17 (3) TerminationGraphProcessor [SOUND, 35 ms] 9.08/3.17 (4) IntTRS 9.08/3.17 (5) IntTRSCompressionProof [EQUIVALENT, 23 ms] 9.08/3.17 (6) IntTRS 9.08/3.17 (7) CaseAnalysis [EQUIVALENT, 14 ms] 9.08/3.17 (8) AND 9.08/3.17 (9) IntTRS 9.08/3.17 (10) IntTRSCompressionProof [EQUIVALENT, 0 ms] 9.08/3.17 (11) IntTRS 9.08/3.17 (12) RankingReductionPairProof [EQUIVALENT, 5 ms] 9.08/3.17 (13) YES 9.08/3.17 (14) IntTRS 9.08/3.17 (15) IntTRSCompressionProof [EQUIVALENT, 0 ms] 9.08/3.17 (16) IntTRS 9.08/3.17 (17) RankingReductionPairProof [EQUIVALENT, 0 ms] 9.08/3.17 (18) YES 9.08/3.17 9.08/3.17 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (0) 9.08/3.17 Obligation: 9.08/3.17 c file /export/starexec/sandbox/benchmark/theBenchmark.c 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (1) CToIRSProof (EQUIVALENT) 9.08/3.17 Parsed C Integer Program as IRS. 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (2) 9.08/3.17 Obligation: 9.08/3.17 Rules: 9.08/3.17 f1(x, y) -> f2(x_1, y) :|: TRUE 9.08/3.17 f2(x1, x2) -> f3(x1, x3) :|: TRUE 9.08/3.17 f4(x4, x5) -> f5(arith, x5) :|: TRUE && arith = x4 + x5 9.08/3.17 f5(x14, x15) -> f6(x14, x16) :|: TRUE && x16 = x15 - 1 9.08/3.17 f3(x8, x9) -> f4(x8, x9) :|: x8 > 0 9.08/3.17 f6(x10, x11) -> f3(x10, x11) :|: TRUE 9.08/3.17 f3(x12, x13) -> f7(x12, x13) :|: x12 <= 0 9.08/3.17 Start term: f1(x, y) 9.08/3.17 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (3) TerminationGraphProcessor (SOUND) 9.08/3.17 Constructed the termination graph and obtained one non-trivial SCC. 9.08/3.17 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (4) 9.08/3.17 Obligation: 9.08/3.17 Rules: 9.08/3.17 f3(x8, x9) -> f4(x8, x9) :|: x8 > 0 9.08/3.17 f6(x10, x11) -> f3(x10, x11) :|: TRUE 9.08/3.17 f5(x14, x15) -> f6(x14, x16) :|: TRUE && x16 = x15 - 1 9.08/3.17 f4(x4, x5) -> f5(arith, x5) :|: TRUE && arith = x4 + x5 9.08/3.17 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (5) IntTRSCompressionProof (EQUIVALENT) 9.08/3.17 Compressed rules. 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (6) 9.08/3.17 Obligation: 9.08/3.17 Rules: 9.08/3.17 f5(x14:0, x15:0) -> f5(x14:0 + (x15:0 - 1), x15:0 - 1) :|: x14:0 > 0 9.08/3.17 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (7) CaseAnalysis (EQUIVALENT) 9.08/3.17 Found the following inductive condition: 9.08/3.17 f5(x0, x1): -x1>=0 9.08/3.17 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (8) 9.08/3.17 Complex Obligation (AND) 9.08/3.17 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (9) 9.08/3.17 Obligation: 9.08/3.17 Rules: 9.08/3.17 f5(x14:0, x15:0) -> f5(x14:0 + (x15:0 - 1), x15:0 - 1) :|: x14:0 > 0 && -1 * x15:0 >= 0 9.08/3.17 9.08/3.17 ---------------------------------------- 9.08/3.17 9.08/3.17 (10) IntTRSCompressionProof (EQUIVALENT) 9.08/3.17 Compressed rules. 9.08/3.17 ----------------------------------------
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