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C_Integer 2019-03-28 22.15 pair #432271999
details
property
value
status
complete
benchmark
KroeningSharyginaTsitovichWintersteiger-CAV2010-Ex_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)
1.99939 seconds
cpu usage
4.89616
user time
4.61628
system time
0.279886
max virtual memory
1.8842024E7
max residence set size
413104.0
stage attributes
key
value
starexec-result
YES
output
4.62/1.94 YES 4.62/1.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 4.62/1.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.62/1.96 4.62/1.96 4.62/1.96 Termination of the given C Problem could be proven: 4.62/1.96 4.62/1.96 (0) C Problem 4.62/1.96 (1) CToIRSProof [EQUIVALENT, 0 ms] 4.62/1.96 (2) IntTRS 4.62/1.96 (3) TerminationGraphProcessor [SOUND, 54 ms] 4.62/1.96 (4) IntTRS 4.62/1.96 (5) IntTRSCompressionProof [EQUIVALENT, 49 ms] 4.62/1.96 (6) IntTRS 4.62/1.96 (7) PolynomialOrderProcessor [EQUIVALENT, 12 ms] 4.62/1.96 (8) YES 4.62/1.96 4.62/1.96 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (0) 4.62/1.96 Obligation: 4.62/1.96 c file /export/starexec/sandbox/benchmark/theBenchmark.c 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (1) CToIRSProof (EQUIVALENT) 4.62/1.96 Parsed C Integer Program as IRS. 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (2) 4.62/1.96 Obligation: 4.62/1.96 Rules: 4.62/1.96 f1(i) -> f2(x_1) :|: TRUE 4.62/1.96 f4(x) -> f7(arith) :|: TRUE && arith = x + 1 4.62/1.96 f5(x11) -> f8(x12) :|: TRUE && x12 = x11 + 2 4.62/1.96 f3(x2) -> f4(x2) :|: x3 < 0 4.62/1.96 f3(x13) -> f4(x13) :|: x14 > 0 4.62/1.96 f3(x4) -> f5(x4) :|: x5 = 0 4.62/1.96 f7(x6) -> f6(x6) :|: TRUE 4.62/1.96 f8(x7) -> f6(x7) :|: TRUE 4.62/1.96 f2(x8) -> f3(x8) :|: x8 < 255 4.62/1.96 f6(x9) -> f2(x9) :|: TRUE 4.62/1.96 f2(x10) -> f9(x10) :|: x10 >= 255 4.62/1.96 Start term: f1(i) 4.62/1.96 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (3) TerminationGraphProcessor (SOUND) 4.62/1.96 Constructed the termination graph and obtained one non-trivial SCC. 4.62/1.96 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (4) 4.62/1.96 Obligation: 4.62/1.96 Rules: 4.62/1.96 f2(x8) -> f3(x8) :|: x8 < 255 4.62/1.96 f6(x9) -> f2(x9) :|: TRUE 4.62/1.96 f7(x6) -> f6(x6) :|: TRUE 4.62/1.96 f4(x) -> f7(arith) :|: TRUE && arith = x + 1 4.62/1.96 f3(x2) -> f4(x2) :|: x3 < 0 4.62/1.96 f3(x13) -> f4(x13) :|: x14 > 0 4.62/1.96 f8(x7) -> f6(x7) :|: TRUE 4.62/1.96 f5(x11) -> f8(x12) :|: TRUE && x12 = x11 + 2 4.62/1.96 f3(x4) -> f5(x4) :|: x5 = 0 4.62/1.96 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (5) IntTRSCompressionProof (EQUIVALENT) 4.62/1.96 Compressed rules. 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (6) 4.62/1.96 Obligation: 4.62/1.96 Rules: 4.62/1.96 f6(x9:0) -> f6(x9:0 + 1) :|: x9:0 < 255 && x3:0 < 0 4.62/1.96 f6(x) -> f6(x + 1) :|: x < 255 && x1 > 0 4.62/1.96 f6(x2) -> f6(x2 + 2) :|: x2 < 255 4.62/1.96 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (7) PolynomialOrderProcessor (EQUIVALENT) 4.62/1.96 Found the following polynomial interpretation: 4.62/1.96 [f6(x)] = 254 - x 4.62/1.96 4.62/1.96 The following rules are decreasing: 4.62/1.96 f6(x9:0) -> f6(x9:0 + 1) :|: x9:0 < 255 && x3:0 < 0 4.62/1.96 f6(x) -> f6(x + 1) :|: x < 255 && x1 > 0 4.62/1.96 f6(x2) -> f6(x2 + 2) :|: x2 < 255 4.62/1.96 The following rules are bounded: 4.62/1.96 f6(x9:0) -> f6(x9:0 + 1) :|: x9:0 < 255 && x3:0 < 0 4.62/1.96 f6(x) -> f6(x + 1) :|: x < 255 && x1 > 0 4.62/1.96 f6(x2) -> f6(x2 + 2) :|: x2 < 255 4.62/1.96 4.62/1.96 ---------------------------------------- 4.62/1.96 4.62/1.96 (8) 4.62/1.96 YES 4.87/1.99 EOF
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