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C_Integer 2019-03-28 22.15 pair #432272284
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex1.03_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n080.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
1.95803 seconds
cpu usage
4.59464
user time
4.30239
system time
0.29225
max virtual memory
1.93755E7
max residence set size
410756.0
stage attributes
key
value
starexec-result
YES
output
4.27/1.92 YES 4.27/1.93 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 4.27/1.93 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.27/1.93 4.27/1.93 4.27/1.93 Termination of the given C Problem could be proven: 4.27/1.93 4.27/1.93 (0) C Problem 4.27/1.93 (1) CToIRSProof [EQUIVALENT, 0 ms] 4.27/1.93 (2) IntTRS 4.27/1.93 (3) TerminationGraphProcessor [SOUND, 28 ms] 4.27/1.93 (4) IntTRS 4.27/1.93 (5) IntTRSCompressionProof [EQUIVALENT, 9 ms] 4.27/1.93 (6) IntTRS 4.27/1.93 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 4.27/1.93 (8) IntTRS 4.27/1.93 (9) PolynomialOrderProcessor [EQUIVALENT, 11 ms] 4.27/1.93 (10) YES 4.27/1.93 4.27/1.93 4.27/1.93 ---------------------------------------- 4.27/1.93 4.27/1.93 (0) 4.27/1.93 Obligation: 4.27/1.93 c file /export/starexec/sandbox/benchmark/theBenchmark.c 4.27/1.93 ---------------------------------------- 4.27/1.93 4.27/1.93 (1) CToIRSProof (EQUIVALENT) 4.27/1.93 Parsed C Integer Program as IRS. 4.27/1.93 ---------------------------------------- 4.27/1.93 4.27/1.93 (2) 4.27/1.93 Obligation: 4.27/1.93 Rules: 4.27/1.93 f1(x, oldx) -> f2(x_1, oldx) :|: TRUE 4.27/1.93 f3(x1, x2) -> f4(x1, x1) :|: TRUE 4.27/1.93 f4(x3, x4) -> f5(x5, x4) :|: TRUE 4.27/1.93 f2(x6, x7) -> f3(x6, x7) :|: x6 > 1 && 0 - 2 * x6 = x7 4.27/1.93 f5(x8, x9) -> f2(x8, x9) :|: TRUE 4.27/1.93 f2(x10, x11) -> f6(x10, x11) :|: x10 <= 1 4.27/1.94 f2(x12, x13) -> f6(x12, x13) :|: 0 - 2 * x12 < x13 4.27/1.94 f2(x14, x15) -> f6(x14, x15) :|: 0 - 2 * x14 > x15 4.27/1.94 Start term: f1(x, oldx) 4.27/1.94 4.27/1.94 ---------------------------------------- 4.27/1.94 4.27/1.94 (3) TerminationGraphProcessor (SOUND) 4.27/1.94 Constructed the termination graph and obtained one non-trivial SCC. 4.27/1.94 4.27/1.94 ---------------------------------------- 4.27/1.94 4.27/1.94 (4) 4.27/1.94 Obligation: 4.27/1.94 Rules: 4.27/1.94 f2(x6, x7) -> f3(x6, x7) :|: x6 > 1 && 0 - 2 * x6 = x7 4.27/1.94 f5(x8, x9) -> f2(x8, x9) :|: TRUE 4.27/1.94 f4(x3, x4) -> f5(x5, x4) :|: TRUE 4.27/1.94 f3(x1, x2) -> f4(x1, x1) :|: TRUE 4.27/1.94 4.27/1.94 ---------------------------------------- 4.27/1.94 4.27/1.94 (5) IntTRSCompressionProof (EQUIVALENT) 4.27/1.94 Compressed rules. 4.27/1.94 ---------------------------------------- 4.27/1.94 4.27/1.94 (6) 4.27/1.94 Obligation: 4.27/1.94 Rules: 4.27/1.94 f4(x, x1) -> f4(x2, x2) :|: x2 > 1 && x1 = 0 - 2 * x2 4.27/1.94 4.27/1.94 ---------------------------------------- 4.27/1.94 4.27/1.94 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 4.27/1.94 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 4.27/1.94 4.27/1.94 f4(x1, x2) -> f4(x2) 4.27/1.94 4.27/1.94 ---------------------------------------- 4.27/1.94 4.27/1.94 (8) 4.27/1.94 Obligation: 4.27/1.94 Rules: 4.27/1.94 f4(x1) -> f4(x2) :|: x2 > 1 && x1 = 0 - 2 * x2 4.27/1.94 4.27/1.94 ---------------------------------------- 4.27/1.94 4.27/1.94 (9) PolynomialOrderProcessor (EQUIVALENT) 4.27/1.94 Found the following polynomial interpretation: 4.27/1.94 [f4(x)] = -x 4.27/1.94 4.27/1.94 The following rules are decreasing: 4.27/1.94 f4(x1) -> f4(x2) :|: x2 > 1 && x1 = 0 - 2 * x2 4.27/1.94 The following rules are bounded: 4.27/1.94 f4(x1) -> f4(x2) :|: x2 > 1 && x1 = 0 - 2 * x2 4.27/1.94 4.27/1.94 ---------------------------------------- 4.27/1.94 4.27/1.94 (10) 4.27/1.94 YES 4.56/1.95 EOF
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