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C_Integer 2019-03-28 22.15 pair #432272194
details
property
value
status
complete
benchmark
LeikeHeizmann-TACAS2014-Fig1_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n106.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
3.36936 seconds
cpu usage
10.2532
user time
9.6858
system time
0.567405
max virtual memory
3.8007376E7
max residence set size
903912.0
stage attributes
key
value
starexec-result
YES
output
9.82/3.27 YES 10.05/3.31 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 10.05/3.31 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.05/3.31 10.05/3.31 10.05/3.31 Termination of the given C Problem could be proven: 10.05/3.31 10.05/3.31 (0) C Problem 10.05/3.31 (1) CToIRSProof [EQUIVALENT, 0 ms] 10.05/3.31 (2) IntTRS 10.05/3.31 (3) TerminationGraphProcessor [SOUND, 45 ms] 10.05/3.31 (4) IntTRS 10.05/3.31 (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] 10.05/3.31 (6) IntTRS 10.05/3.31 (7) CaseAnalysis [EQUIVALENT, 15 ms] 10.05/3.31 (8) AND 10.05/3.31 (9) IntTRS 10.05/3.31 (10) IntTRSCompressionProof [EQUIVALENT, 0 ms] 10.05/3.31 (11) IntTRS 10.05/3.31 (12) RankingReductionPairProof [EQUIVALENT, 4 ms] 10.05/3.31 (13) YES 10.05/3.31 (14) IntTRS 10.05/3.31 (15) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 10.05/3.31 (16) YES 10.05/3.31 10.05/3.31 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (0) 10.05/3.31 Obligation: 10.05/3.31 c file /export/starexec/sandbox/benchmark/theBenchmark.c 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (1) CToIRSProof (EQUIVALENT) 10.05/3.31 Parsed C Integer Program as IRS. 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (2) 10.05/3.31 Obligation: 10.05/3.31 Rules: 10.05/3.31 f1(q, y) -> f2(x_1, y) :|: TRUE 10.05/3.31 f2(x, x1) -> f3(x, x2) :|: TRUE 10.05/3.31 f4(x3, x4) -> f5(arith, x4) :|: TRUE && arith = x3 - x4 10.05/3.31 f5(x13, x14) -> f6(x13, x15) :|: TRUE && x15 = x14 + 1 10.05/3.31 f3(x7, x8) -> f4(x7, x8) :|: x7 > 0 10.05/3.31 f6(x9, x10) -> f3(x9, x10) :|: TRUE 10.05/3.31 f3(x11, x12) -> f7(x11, x12) :|: x11 <= 0 10.05/3.31 Start term: f1(q, y) 10.05/3.31 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (3) TerminationGraphProcessor (SOUND) 10.05/3.31 Constructed the termination graph and obtained one non-trivial SCC. 10.05/3.31 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (4) 10.05/3.31 Obligation: 10.05/3.31 Rules: 10.05/3.31 f3(x7, x8) -> f4(x7, x8) :|: x7 > 0 10.05/3.31 f6(x9, x10) -> f3(x9, x10) :|: TRUE 10.05/3.31 f5(x13, x14) -> f6(x13, x15) :|: TRUE && x15 = x14 + 1 10.05/3.31 f4(x3, x4) -> f5(arith, x4) :|: TRUE && arith = x3 - x4 10.05/3.31 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (5) IntTRSCompressionProof (EQUIVALENT) 10.05/3.31 Compressed rules. 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (6) 10.05/3.31 Obligation: 10.05/3.31 Rules: 10.05/3.31 f5(x13:0, x14:0) -> f5(x13:0 - (x14:0 + 1), x14:0 + 1) :|: x13:0 > 0 10.05/3.31 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (7) CaseAnalysis (EQUIVALENT) 10.05/3.31 Found the following inductive condition: 10.05/3.31 f5(x0, x1): x1>=0 10.05/3.31 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (8) 10.05/3.31 Complex Obligation (AND) 10.05/3.31 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (9) 10.05/3.31 Obligation: 10.05/3.31 Rules: 10.05/3.31 f5(x13:0, x14:0) -> f5(x13:0 - (x14:0 + 1), x14:0 + 1) :|: x13:0 > 0 && x14:0 >= 0 10.05/3.31 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (10) IntTRSCompressionProof (EQUIVALENT) 10.05/3.31 Compressed rules. 10.05/3.31 ---------------------------------------- 10.05/3.31 10.05/3.31 (11)
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