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C_Integer 2019-03-28 22.15 pair #432271867
details
property
value
status
complete
benchmark
MinusBuiltIn.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n009.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.24156 seconds
cpu usage
4.7559
user time
4.51788
system time
0.238018
max virtual memory
1.8909396E7
max residence set size
383812.0
stage attributes
key
value
starexec-result
YES
output
4.58/2.20 YES 4.58/2.21 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 4.58/2.21 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.58/2.21 4.58/2.21 4.58/2.21 Termination of the given C Problem could be proven: 4.58/2.21 4.58/2.21 (0) C Problem 4.58/2.21 (1) CToIRSProof [EQUIVALENT, 0 ms] 4.58/2.21 (2) IntTRS 4.58/2.21 (3) TerminationGraphProcessor [SOUND, 34 ms] 4.58/2.21 (4) IntTRS 4.58/2.21 (5) IntTRSCompressionProof [EQUIVALENT, 4 ms] 4.58/2.21 (6) IntTRS 4.58/2.21 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 4.58/2.21 (8) IntTRS 4.58/2.21 (9) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 4.58/2.21 (10) YES 4.58/2.21 4.58/2.21 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (0) 4.58/2.21 Obligation: 4.58/2.21 c file /export/starexec/sandbox/benchmark/theBenchmark.c 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (1) CToIRSProof (EQUIVALENT) 4.58/2.21 Parsed C Integer Program as IRS. 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (2) 4.58/2.21 Obligation: 4.58/2.21 Rules: 4.58/2.21 f1(x, y, res) -> f2(x_1, y, res) :|: TRUE 4.58/2.21 f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE 4.58/2.21 f3(x5, x6, x7) -> f4(x5, x6, 0) :|: TRUE 4.58/2.21 f5(x8, x9, x10) -> f6(x8, arith, x10) :|: TRUE && arith = x8 + 1 4.58/2.21 f6(x23, x24, x25) -> f7(x23, x24, x26) :|: TRUE && x26 = x25 + 1 4.58/2.21 f4(x14, x15, x16) -> f5(x14, x15, x16) :|: x14 > x15 4.58/2.21 f7(x17, x18, x19) -> f4(x17, x18, x19) :|: TRUE 4.58/2.21 f4(x20, x21, x22) -> f8(x20, x21, x22) :|: x20 <= x21 4.58/2.21 Start term: f1(x, y, res) 4.58/2.21 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (3) TerminationGraphProcessor (SOUND) 4.58/2.21 Constructed the termination graph and obtained one non-trivial SCC. 4.58/2.21 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (4) 4.58/2.21 Obligation: 4.58/2.21 Rules: 4.58/2.21 f4(x14, x15, x16) -> f5(x14, x15, x16) :|: x14 > x15 4.58/2.21 f7(x17, x18, x19) -> f4(x17, x18, x19) :|: TRUE 4.58/2.21 f6(x23, x24, x25) -> f7(x23, x24, x26) :|: TRUE && x26 = x25 + 1 4.58/2.21 f5(x8, x9, x10) -> f6(x8, arith, x10) :|: TRUE && arith = x8 + 1 4.58/2.21 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (5) IntTRSCompressionProof (EQUIVALENT) 4.58/2.21 Compressed rules. 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (6) 4.58/2.21 Obligation: 4.58/2.21 Rules: 4.58/2.21 f6(x23:0, x24:0, x25:0) -> f6(x23:0, x23:0 + 1, x25:0 + 1) :|: x24:0 < x23:0 4.58/2.21 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 4.58/2.21 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 4.58/2.21 4.58/2.21 f6(x1, x2, x3) -> f6(x1, x2) 4.58/2.21 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (8) 4.58/2.21 Obligation: 4.58/2.21 Rules: 4.58/2.21 f6(x23:0, x24:0) -> f6(x23:0, x23:0 + 1) :|: x24:0 < x23:0 4.58/2.21 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (9) PolynomialOrderProcessor (EQUIVALENT) 4.58/2.21 Found the following polynomial interpretation: 4.58/2.21 [f6(x, x1)] = x - x1 4.58/2.21 4.58/2.21 The following rules are decreasing: 4.58/2.21 f6(x23:0, x24:0) -> f6(x23:0, x23:0 + 1) :|: x24:0 < x23:0 4.58/2.21 The following rules are bounded: 4.58/2.21 f6(x23:0, x24:0) -> f6(x23:0, x23:0 + 1) :|: x24:0 < x23:0 4.58/2.21 4.58/2.21 ---------------------------------------- 4.58/2.21 4.58/2.21 (10) 4.58/2.21 YES 4.74/2.24 EOF
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