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C_Integer 2019-03-28 22.15 pair #432272311
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex1.05_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n086.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.0106 seconds
cpu usage
4.96916
user time
4.70815
system time
0.26101
max virtual memory
1.9009592E7
max residence set size
390816.0
stage attributes
key
value
starexec-result
YES
output
4.66/1.96 YES 4.66/1.97 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 4.66/1.97 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.66/1.97 4.66/1.97 4.66/1.97 Termination of the given C Problem could be proven: 4.66/1.97 4.66/1.97 (0) C Problem 4.66/1.97 (1) CToIRSProof [EQUIVALENT, 0 ms] 4.66/1.97 (2) IntTRS 4.66/1.97 (3) TerminationGraphProcessor [SOUND, 43 ms] 4.66/1.97 (4) IntTRS 4.66/1.97 (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] 4.66/1.97 (6) IntTRS 4.66/1.97 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 4.66/1.97 (8) IntTRS 4.66/1.97 (9) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 4.66/1.97 (10) YES 4.66/1.97 4.66/1.97 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (0) 4.66/1.97 Obligation: 4.66/1.97 c file /export/starexec/sandbox/benchmark/theBenchmark.c 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (1) CToIRSProof (EQUIVALENT) 4.66/1.97 Parsed C Integer Program as IRS. 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (2) 4.66/1.97 Obligation: 4.66/1.97 Rules: 4.66/1.97 f1(x, oldx) -> f2(x_1, oldx) :|: TRUE 4.66/1.97 f3(x1, x2) -> f4(x1, x1) :|: TRUE 4.66/1.97 f4(x3, x4) -> f5(x5, x4) :|: TRUE 4.66/1.97 f2(x6, x7) -> f3(x6, x7) :|: x6 > 0 && 2 * x6 <= x7 4.66/1.97 f5(x8, x9) -> f2(x8, x9) :|: TRUE 4.66/1.97 f2(x10, x11) -> f6(x10, x11) :|: x10 <= 0 4.66/1.97 f2(x12, x13) -> f6(x12, x13) :|: 2 * x12 > x13 4.66/1.97 Start term: f1(x, oldx) 4.66/1.97 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (3) TerminationGraphProcessor (SOUND) 4.66/1.97 Constructed the termination graph and obtained one non-trivial SCC. 4.66/1.97 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (4) 4.66/1.97 Obligation: 4.66/1.97 Rules: 4.66/1.97 f2(x6, x7) -> f3(x6, x7) :|: x6 > 0 && 2 * x6 <= x7 4.66/1.97 f5(x8, x9) -> f2(x8, x9) :|: TRUE 4.66/1.97 f4(x3, x4) -> f5(x5, x4) :|: TRUE 4.66/1.97 f3(x1, x2) -> f4(x1, x1) :|: TRUE 4.66/1.97 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (5) IntTRSCompressionProof (EQUIVALENT) 4.66/1.97 Compressed rules. 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (6) 4.66/1.97 Obligation: 4.66/1.97 Rules: 4.66/1.97 f4(x3:0, x4:0) -> f4(x5:0, x5:0) :|: x5:0 > 0 && x4:0 >= 2 * x5:0 4.66/1.97 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 4.66/1.97 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 4.66/1.97 4.66/1.97 f4(x1, x2) -> f4(x2) 4.66/1.97 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (8) 4.66/1.97 Obligation: 4.66/1.97 Rules: 4.66/1.97 f4(x4:0) -> f4(x5:0) :|: x5:0 > 0 && x4:0 >= 2 * x5:0 4.66/1.97 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (9) PolynomialOrderProcessor (EQUIVALENT) 4.66/1.97 Found the following polynomial interpretation: 4.66/1.97 [f4(x)] = x 4.66/1.97 4.66/1.97 The following rules are decreasing: 4.66/1.97 f4(x4:0) -> f4(x5:0) :|: x5:0 > 0 && x4:0 >= 2 * x5:0 4.66/1.97 The following rules are bounded: 4.66/1.97 f4(x4:0) -> f4(x5:0) :|: x5:0 > 0 && x4:0 >= 2 * x5:0 4.66/1.97 4.66/1.97 ---------------------------------------- 4.66/1.97 4.66/1.97 (10) 4.66/1.97 YES 4.93/2.01 EOF
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