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C_Integer 2019-03-28 22.15 pair #432271687
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex3.07_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.34387 seconds
cpu usage
5.94383
user time
5.60063
system time
0.343193
max virtual memory
1.9076728E7
max residence set size
520128.0
stage attributes
key
value
starexec-result
YES
output
5.34/2.29 YES 5.34/2.31 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 5.34/2.31 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.34/2.31 5.34/2.31 5.34/2.31 Termination of the given C Problem could be proven: 5.34/2.31 5.34/2.31 (0) C Problem 5.34/2.31 (1) CToIRSProof [EQUIVALENT, 0 ms] 5.34/2.31 (2) IntTRS 5.34/2.31 (3) TerminationGraphProcessor [SOUND, 54 ms] 5.34/2.31 (4) IntTRS 5.34/2.31 (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] 5.34/2.31 (6) IntTRS 5.34/2.31 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 2 ms] 5.34/2.31 (8) IntTRS 5.34/2.31 (9) TerminationGraphProcessor [EQUIVALENT, 0 ms] 5.34/2.31 (10) IntTRS 5.34/2.31 (11) IntTRSCompressionProof [EQUIVALENT, 0 ms] 5.34/2.31 (12) IntTRS 5.34/2.31 (13) RankingReductionPairProof [EQUIVALENT, 5 ms] 5.34/2.31 (14) YES 5.34/2.31 5.34/2.31 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (0) 5.34/2.31 Obligation: 5.34/2.31 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (1) CToIRSProof (EQUIVALENT) 5.34/2.31 Parsed C Integer Program as IRS. 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (2) 5.34/2.31 Obligation: 5.34/2.31 Rules: 5.34/2.31 f1(x, y, z) -> f2(x_1, y, z) :|: TRUE 5.34/2.31 f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE 5.34/2.31 f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE 5.34/2.31 f5(x9, x10, x11) -> f6(arith, x10, x11) :|: TRUE && arith = x9 + x10 5.34/2.31 f6(x12, x13, x14) -> f7(x12, x14, x14) :|: TRUE 5.34/2.31 f7(x27, x28, x29) -> f8(x27, x28, x30) :|: TRUE && x30 = 0 - x29 - 1 5.34/2.31 f4(x18, x19, x20) -> f5(x18, x19, x20) :|: x18 >= 0 5.34/2.31 f8(x21, x22, x23) -> f4(x21, x22, x23) :|: TRUE 5.34/2.31 f4(x24, x25, x26) -> f9(x24, x25, x26) :|: x24 < 0 5.34/2.31 Start term: f1(x, y, z) 5.34/2.31 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (3) TerminationGraphProcessor (SOUND) 5.34/2.31 Constructed the termination graph and obtained one non-trivial SCC. 5.34/2.31 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (4) 5.34/2.31 Obligation: 5.34/2.31 Rules: 5.34/2.31 f4(x18, x19, x20) -> f5(x18, x19, x20) :|: x18 >= 0 5.34/2.31 f8(x21, x22, x23) -> f4(x21, x22, x23) :|: TRUE 5.34/2.31 f7(x27, x28, x29) -> f8(x27, x28, x30) :|: TRUE && x30 = 0 - x29 - 1 5.34/2.31 f6(x12, x13, x14) -> f7(x12, x14, x14) :|: TRUE 5.34/2.31 f5(x9, x10, x11) -> f6(arith, x10, x11) :|: TRUE && arith = x9 + x10 5.34/2.31 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (5) IntTRSCompressionProof (EQUIVALENT) 5.34/2.31 Compressed rules. 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (6) 5.34/2.31 Obligation: 5.34/2.31 Rules: 5.34/2.31 f6(x12:0, x13:0, x14:0) -> f6(x12:0 + x14:0, x14:0, 0 - x14:0 - 1) :|: x12:0 > -1 5.34/2.31 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 5.34/2.31 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 5.34/2.31 5.34/2.31 f6(x1, x2, x3) -> f6(x1, x3) 5.34/2.31 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (8) 5.34/2.31 Obligation: 5.34/2.31 Rules: 5.34/2.31 f6(x12:0, x14:0) -> f6(x12:0 + x14:0, 0 - x14:0 - 1) :|: x12:0 > -1 5.34/2.31 5.34/2.31 ---------------------------------------- 5.34/2.31 5.34/2.31 (9) TerminationGraphProcessor (EQUIVALENT) 5.34/2.31 Constructed the termination graph and obtained one non-trivial SCC. 5.34/2.31 5.34/2.31 f6(x12:0, x14:0) -> f6(x12:0 + x14:0, 0 - x14:0 - 1) :|: x12:0 > -1 5.34/2.31 has been transformed into 5.34/2.31 f6(x12:0, x14:0) -> f6(x12:0 + x14:0, 0 - x14:0 - 1) :|: x12:0 > -1 && x4 > -1. 5.34/2.31 5.34/2.31
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