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C_Integer 2019-03-28 22.15 pair #432272107
details
property
value
status
complete
benchmark
Thun_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n102.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.49811 seconds
cpu usage
6.77348
user time
6.40719
system time
0.36628
max virtual memory
1.980292E7
max residence set size
558712.0
stage attributes
key
value
starexec-result
YES
output
6.65/2.45 YES 6.65/2.46 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 6.65/2.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.65/2.46 6.65/2.46 6.65/2.46 Termination of the given C Problem could be proven: 6.65/2.46 6.65/2.46 (0) C Problem 6.65/2.46 (1) CToIRSProof [EQUIVALENT, 0 ms] 6.65/2.46 (2) IntTRS 6.65/2.46 (3) TerminationGraphProcessor [SOUND, 31 ms] 6.65/2.46 (4) IntTRS 6.65/2.46 (5) IntTRSCompressionProof [EQUIVALENT, 13 ms] 6.65/2.46 (6) IntTRS 6.65/2.46 (7) TerminationGraphProcessor [EQUIVALENT, 0 ms] 6.65/2.46 (8) IntTRS 6.65/2.46 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 6.65/2.46 (10) IntTRS 6.65/2.46 (11) RankingReductionPairProof [EQUIVALENT, 0 ms] 6.65/2.46 (12) YES 6.65/2.46 6.65/2.46 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (0) 6.65/2.46 Obligation: 6.65/2.46 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (1) CToIRSProof (EQUIVALENT) 6.65/2.46 Parsed C Integer Program as IRS. 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (2) 6.65/2.46 Obligation: 6.65/2.46 Rules: 6.65/2.46 f1(x, y) -> f2(x_1, y) :|: TRUE 6.65/2.46 f2(x1, x2) -> f3(x1, x3) :|: TRUE 6.65/2.46 f4(x4, x5) -> f5(arith, x5) :|: TRUE && arith = x4 + x5 6.65/2.46 f5(x14, x15) -> f6(x14, x16) :|: TRUE && x16 = (0 - 2) * x15 - 1 6.65/2.46 f3(x8, x9) -> f4(x8, x9) :|: x8 >= 0 6.65/2.46 f6(x10, x11) -> f3(x10, x11) :|: TRUE 6.65/2.46 f3(x12, x13) -> f7(x12, x13) :|: x12 < 0 6.65/2.46 Start term: f1(x, y) 6.65/2.46 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (3) TerminationGraphProcessor (SOUND) 6.65/2.46 Constructed the termination graph and obtained one non-trivial SCC. 6.65/2.46 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (4) 6.65/2.46 Obligation: 6.65/2.46 Rules: 6.65/2.46 f3(x8, x9) -> f4(x8, x9) :|: x8 >= 0 6.65/2.46 f6(x10, x11) -> f3(x10, x11) :|: TRUE 6.65/2.46 f5(x14, x15) -> f6(x14, x16) :|: TRUE && x16 = (0 - 2) * x15 - 1 6.65/2.46 f4(x4, x5) -> f5(arith, x5) :|: TRUE && arith = x4 + x5 6.65/2.46 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (5) IntTRSCompressionProof (EQUIVALENT) 6.65/2.46 Compressed rules. 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (6) 6.65/2.46 Obligation: 6.65/2.46 Rules: 6.65/2.46 f5(x14:0, x15:0) -> f5(x14:0 + (-2 * x15:0 - 1), -2 * x15:0 - 1) :|: x14:0 > -1 6.65/2.46 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (7) TerminationGraphProcessor (EQUIVALENT) 6.65/2.46 Constructed the termination graph and obtained one non-trivial SCC. 6.65/2.46 6.65/2.46 f5(x14:0, x15:0) -> f5(x14:0 + (-2 * x15:0 - 1), -2 * x15:0 - 1) :|: x14:0 > -1 6.65/2.46 has been transformed into 6.65/2.46 f5(x14:0, x15:0) -> f5(x14:0 + (-2 * x15:0 - 1), -2 * x15:0 - 1) :|: x14:0 > -1 && x4 > -1. 6.65/2.46 6.65/2.46 6.65/2.46 f5(x14:0, x15:0) -> f5(x14:0 + (-2 * x15:0 - 1), -2 * x15:0 - 1) :|: x14:0 > -1 && x4 > -1 and 6.65/2.46 f5(x14:0, x15:0) -> f5(x14:0 + (-2 * x15:0 - 1), -2 * x15:0 - 1) :|: x14:0 > -1 && x4 > -1 6.65/2.46 have been merged into the new rule 6.65/2.46 f5(x12, x13) -> f5(x12 + (-2 * x13 - 1) + (-2 * (-2 * x13 - 1) - 1), -2 * (-2 * x13 - 1) - 1) :|: x12 > -1 && x14 > -1 && (x12 + (-2 * x13 - 1) > -1 && x15 > -1) 6.65/2.46 6.65/2.46 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (8) 6.65/2.46 Obligation: 6.65/2.46 Rules: 6.65/2.46 f5(x16, x17) -> f5(x16 + 2 * x17, 4 * x17 + 1) :|: TRUE && x16 >= 0 && x18 >= 0 && x16 + -2 * x17 >= 1 && x19 >= 0 6.65/2.46 6.65/2.46 ---------------------------------------- 6.65/2.46 6.65/2.46 (9) IntTRSCompressionProof (EQUIVALENT) 6.65/2.46 Compressed rules. 6.65/2.46 ---------------------------------------- 6.65/2.46
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