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C_Integer 2019-03-28 22.15 pair #432272272
details
property
value
status
complete
benchmark
svcomp_ex3a.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n136.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
1.9393 seconds
cpu usage
4.69742
user time
4.43197
system time
0.265453
max virtual memory
1.8811272E7
max residence set size
387152.0
stage attributes
key
value
starexec-result
YES
output
4.64/1.91 YES 4.64/1.92 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 4.64/1.92 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.64/1.92 4.64/1.92 4.64/1.92 Termination of the given C Problem could be proven: 4.64/1.92 4.64/1.92 (0) C Problem 4.64/1.92 (1) CToIRSProof [EQUIVALENT, 0 ms] 4.64/1.92 (2) IntTRS 4.64/1.92 (3) TerminationGraphProcessor [SOUND, 48 ms] 4.64/1.92 (4) IntTRS 4.64/1.92 (5) IntTRSCompressionProof [EQUIVALENT, 3 ms] 4.64/1.92 (6) IntTRS 4.64/1.92 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 4.64/1.92 (8) IntTRS 4.64/1.92 (9) RankingReductionPairProof [EQUIVALENT, 0 ms] 4.64/1.92 (10) YES 4.64/1.92 4.64/1.92 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (0) 4.64/1.92 Obligation: 4.64/1.92 c file /export/starexec/sandbox/benchmark/theBenchmark.c 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (1) CToIRSProof (EQUIVALENT) 4.64/1.92 Parsed C Integer Program as IRS. 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (2) 4.64/1.92 Obligation: 4.64/1.92 Rules: 4.64/1.92 f1(c, x) -> f2(c, x_1) :|: TRUE 4.64/1.92 f2(x1, x2) -> f3(0, x2) :|: TRUE 4.64/1.92 f4(x3, x4) -> f5(x3, arith) :|: TRUE && arith = x4 * x4 4.64/1.92 f5(x13, x14) -> f6(x15, x14) :|: TRUE && x15 = x13 + 1 4.64/1.92 f3(x7, x8) -> f4(x7, x8) :|: x8 > 1 && x8 < 100 4.64/1.92 f6(x9, x10) -> f3(x9, x10) :|: TRUE 4.64/1.92 f3(x11, x12) -> f7(x11, x12) :|: x12 <= 1 4.64/1.92 f3(x16, x17) -> f7(x16, x17) :|: x17 >= 100 4.64/1.92 Start term: f1(c, x) 4.64/1.92 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (3) TerminationGraphProcessor (SOUND) 4.64/1.92 Constructed the termination graph and obtained one non-trivial SCC. 4.64/1.92 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (4) 4.64/1.92 Obligation: 4.64/1.92 Rules: 4.64/1.92 f3(x7, x8) -> f4(x7, x8) :|: x8 > 1 && x8 < 100 4.64/1.92 f6(x9, x10) -> f3(x9, x10) :|: TRUE 4.64/1.92 f5(x13, x14) -> f6(x15, x14) :|: TRUE && x15 = x13 + 1 4.64/1.92 f4(x3, x4) -> f5(x3, arith) :|: TRUE && arith = x4 * x4 4.64/1.92 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (5) IntTRSCompressionProof (EQUIVALENT) 4.64/1.92 Compressed rules. 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (6) 4.64/1.92 Obligation: 4.64/1.92 Rules: 4.64/1.92 f5(x13:0, x14:0) -> f5(x13:0 + 1, x14:0 * x14:0) :|: x14:0 > 1 && x14:0 < 100 4.64/1.92 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 4.64/1.92 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 4.64/1.92 4.64/1.92 f5(x1, x2) -> f5(x2) 4.64/1.92 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (8) 4.64/1.92 Obligation: 4.64/1.92 Rules: 4.64/1.92 f5(x14:0) -> f5(x14:0 * x14:0) :|: x14:0 > 1 && x14:0 < 100 4.64/1.92 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (9) RankingReductionPairProof (EQUIVALENT) 4.64/1.92 Interpretation: 4.64/1.92 [ f5 ] = -1/2*f5_1 4.64/1.92 4.64/1.92 The following rules are decreasing: 4.64/1.92 f5(x14:0) -> f5(x14:0 * x14:0) :|: x14:0 > 1 && x14:0 < 100 4.64/1.92 4.64/1.92 The following rules are bounded: 4.64/1.92 f5(x14:0) -> f5(x14:0 * x14:0) :|: x14:0 > 1 && x14:0 < 100 4.64/1.92 4.64/1.92 4.64/1.92 ---------------------------------------- 4.64/1.92 4.64/1.92 (10)
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