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C_Integer 2019-03-28 22.15 pair #432271825
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex3.01_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n176.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.86657 seconds
cpu usage
8.17251
user time
7.84562
system time
0.32689
max virtual memory
1.9276276E7
max residence set size
590184.0
stage attributes
key
value
starexec-result
YES
output
7.77/2.80 YES 7.77/2.83 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 7.77/2.83 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.77/2.83 7.77/2.83 7.77/2.83 Termination of the given C Problem could be proven: 7.77/2.83 7.77/2.83 (0) C Problem 7.77/2.83 (1) CToIRSProof [EQUIVALENT, 0 ms] 7.77/2.83 (2) IntTRS 7.77/2.83 (3) TerminationGraphProcessor [SOUND, 53 ms] 7.77/2.83 (4) IntTRS 7.77/2.83 (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] 7.77/2.83 (6) IntTRS 7.77/2.83 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 7.77/2.83 (8) IntTRS 7.77/2.83 (9) RankingReductionPairProof [EQUIVALENT, 11 ms] 7.77/2.83 (10) YES 7.77/2.83 7.77/2.83 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (0) 7.77/2.83 Obligation: 7.77/2.83 c file /export/starexec/sandbox/benchmark/theBenchmark.c 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (1) CToIRSProof (EQUIVALENT) 7.77/2.83 Parsed C Integer Program as IRS. 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (2) 7.77/2.83 Obligation: 7.77/2.83 Rules: 7.77/2.83 f1(x, y, z) -> f2(x_1, y, z) :|: TRUE 7.77/2.83 f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE 7.77/2.83 f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE 7.77/2.83 f5(x9, x10, x11) -> f6(arith, x10, x11) :|: TRUE && arith = x9 + 1 7.77/2.83 f6(x12, x13, x14) -> f7(x12, x14, x14) :|: TRUE 7.77/2.83 f4(x15, x16, x17) -> f5(x15, x16, x17) :|: x15 < x16 7.77/2.83 f7(x18, x19, x20) -> f4(x18, x19, x20) :|: TRUE 7.77/2.83 f4(x21, x22, x23) -> f8(x21, x22, x23) :|: x21 >= x22 7.77/2.83 Start term: f1(x, y, z) 7.77/2.83 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (3) TerminationGraphProcessor (SOUND) 7.77/2.83 Constructed the termination graph and obtained one non-trivial SCC. 7.77/2.83 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (4) 7.77/2.83 Obligation: 7.77/2.83 Rules: 7.77/2.83 f4(x15, x16, x17) -> f5(x15, x16, x17) :|: x15 < x16 7.77/2.83 f7(x18, x19, x20) -> f4(x18, x19, x20) :|: TRUE 7.77/2.83 f6(x12, x13, x14) -> f7(x12, x14, x14) :|: TRUE 7.77/2.83 f5(x9, x10, x11) -> f6(arith, x10, x11) :|: TRUE && arith = x9 + 1 7.77/2.83 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (5) IntTRSCompressionProof (EQUIVALENT) 7.77/2.83 Compressed rules. 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (6) 7.77/2.83 Obligation: 7.77/2.83 Rules: 7.77/2.83 f6(x12:0, x13:0, x14:0) -> f6(x12:0 + 1, x14:0, x14:0) :|: x14:0 > x12:0 7.77/2.83 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 7.77/2.83 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 7.77/2.83 7.77/2.83 f6(x1, x2, x3) -> f6(x1, x3) 7.77/2.83 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (8) 7.77/2.83 Obligation: 7.77/2.83 Rules: 7.77/2.83 f6(x12:0, x14:0) -> f6(x12:0 + 1, x14:0) :|: x14:0 > x12:0 7.77/2.83 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (9) RankingReductionPairProof (EQUIVALENT) 7.77/2.83 Interpretation: 7.77/2.83 [ f6 ] = f6_2 + -1*f6_1 7.77/2.83 7.77/2.83 The following rules are decreasing: 7.77/2.83 f6(x12:0, x14:0) -> f6(x12:0 + 1, x14:0) :|: x14:0 > x12:0 7.77/2.83 7.77/2.83 The following rules are bounded: 7.77/2.83 f6(x12:0, x14:0) -> f6(x12:0 + 1, x14:0) :|: x14:0 > x12:0 7.77/2.83 7.77/2.83 7.77/2.83 ---------------------------------------- 7.77/2.83 7.77/2.83 (10)
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