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C_Integer 2019-03-28 22.15 pair #432271969
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex3.09_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n113.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.36687 seconds
cpu usage
5.9416
user time
5.64514
system time
0.296462
max virtual memory
1.9242372E7
max residence set size
455504.0
stage attributes
key
value
starexec-result
YES
output
5.53/2.32 YES 5.53/2.33 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 5.53/2.33 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.53/2.33 5.53/2.33 5.53/2.33 Termination of the given C Problem could be proven: 5.53/2.33 5.53/2.33 (0) C Problem 5.53/2.33 (1) CToIRSProof [EQUIVALENT, 0 ms] 5.53/2.33 (2) IntTRS 5.53/2.33 (3) TerminationGraphProcessor [SOUND, 45 ms] 5.53/2.33 (4) IntTRS 5.53/2.33 (5) IntTRSCompressionProof [EQUIVALENT, 32 ms] 5.53/2.33 (6) IntTRS 5.53/2.33 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 5.53/2.33 (8) IntTRS 5.53/2.33 (9) RankingReductionPairProof [EQUIVALENT, 18 ms] 5.53/2.33 (10) YES 5.53/2.33 5.53/2.33 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (0) 5.53/2.33 Obligation: 5.53/2.33 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (1) CToIRSProof (EQUIVALENT) 5.53/2.33 Parsed C Integer Program as IRS. 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (2) 5.53/2.33 Obligation: 5.53/2.33 Rules: 5.53/2.33 f1(x, y, z, oldx) -> f2(x_1, y, z, oldx) :|: TRUE 5.53/2.33 f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE 5.53/2.33 f3(x6, x7, x8, x9) -> f4(x6, x7, x10, x9) :|: TRUE 5.53/2.33 f5(x11, x12, x13, x14) -> f6(x11, x12, x13, x11) :|: TRUE 5.53/2.33 f6(x15, x16, x17, x18) -> f7(x19, x16, x17, x18) :|: TRUE 5.53/2.33 f7(x20, x21, x22, x23) -> f8(x20, x22, x22, x23) :|: TRUE 5.53/2.33 f4(x24, x25, x26, x27) -> f5(x24, x25, x26, x27) :|: x24 > 0 && x24 < x25 && x24 > 2 * x27 5.53/2.33 f8(x28, x29, x30, x31) -> f4(x28, x29, x30, x31) :|: TRUE 5.53/2.33 f4(x32, x33, x34, x35) -> f9(x32, x33, x34, x35) :|: x32 <= 2 * x35 5.53/2.33 f4(x36, x37, x38, x39) -> f9(x36, x37, x38, x39) :|: x36 <= 0 5.53/2.33 f4(x40, x41, x42, x43) -> f9(x40, x41, x42, x43) :|: x40 >= x41 5.53/2.33 Start term: f1(x, y, z, oldx) 5.53/2.33 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (3) TerminationGraphProcessor (SOUND) 5.53/2.33 Constructed the termination graph and obtained one non-trivial SCC. 5.53/2.33 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (4) 5.53/2.33 Obligation: 5.53/2.33 Rules: 5.53/2.33 f4(x24, x25, x26, x27) -> f5(x24, x25, x26, x27) :|: x24 > 0 && x24 < x25 && x24 > 2 * x27 5.53/2.33 f8(x28, x29, x30, x31) -> f4(x28, x29, x30, x31) :|: TRUE 5.53/2.33 f7(x20, x21, x22, x23) -> f8(x20, x22, x22, x23) :|: TRUE 5.53/2.33 f6(x15, x16, x17, x18) -> f7(x19, x16, x17, x18) :|: TRUE 5.53/2.33 f5(x11, x12, x13, x14) -> f6(x11, x12, x13, x11) :|: TRUE 5.53/2.33 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (5) IntTRSCompressionProof (EQUIVALENT) 5.53/2.33 Compressed rules. 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (6) 5.53/2.33 Obligation: 5.53/2.33 Rules: 5.53/2.33 f6(x15:0, x16:0, x17:0, x18:0) -> f6(x19:0, x17:0, x17:0, x19:0) :|: x19:0 > 0 && x19:0 < x17:0 && x19:0 > 2 * x18:0 5.53/2.33 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 5.53/2.33 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 5.53/2.33 5.53/2.33 f6(x1, x2, x3, x4) -> f6(x3, x4) 5.53/2.33 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (8) 5.53/2.33 Obligation: 5.53/2.33 Rules: 5.53/2.33 f6(x17:0, x18:0) -> f6(x17:0, x19:0) :|: x19:0 > 0 && x19:0 < x17:0 && x19:0 > 2 * x18:0 5.53/2.33 5.53/2.33 ---------------------------------------- 5.53/2.33 5.53/2.33 (9) RankingReductionPairProof (EQUIVALENT) 5.53/2.33 Interpretation: 5.53/2.33 [ f6 ] = 1/2*f6_1 + -1*f6_2 5.53/2.33 5.53/2.33 The following rules are decreasing: 5.53/2.33 f6(x17:0, x18:0) -> f6(x17:0, x19:0) :|: x19:0 > 0 && x19:0 < x17:0 && x19:0 > 2 * x18:0 5.53/2.33 5.53/2.33 The following rules are bounded: 5.53/2.33 f6(x17:0, x18:0) -> f6(x17:0, x19:0) :|: x19:0 > 0 && x19:0 < x17:0 && x19:0 > 2 * x18:0 5.53/2.33
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return to C_Integer 2019-03-28 22.15