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C_Integer 2019-03-28 22.15 pair #432271762
details
property
value
status
complete
benchmark
PastaA5.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n041.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
1.99061 seconds
cpu usage
4.56593
user time
4.30773
system time
0.258198
max virtual memory
1.9410348E7
max residence set size
384348.0
stage attributes
key
value
starexec-result
YES
output
4.41/1.95 YES 4.41/1.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 4.41/1.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.41/1.96 4.41/1.96 4.41/1.96 Termination of the given C Problem could be proven: 4.41/1.96 4.41/1.96 (0) C Problem 4.41/1.96 (1) CToIRSProof [EQUIVALENT, 0 ms] 4.41/1.96 (2) IntTRS 4.41/1.96 (3) TerminationGraphProcessor [SOUND, 20 ms] 4.41/1.96 (4) IntTRS 4.41/1.96 (5) IntTRSCompressionProof [EQUIVALENT, 25 ms] 4.41/1.96 (6) IntTRS 4.41/1.96 (7) RankingReductionPairProof [EQUIVALENT, 0 ms] 4.41/1.96 (8) YES 4.41/1.96 4.41/1.96 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (0) 4.41/1.96 Obligation: 4.41/1.96 c file /export/starexec/sandbox/benchmark/theBenchmark.c 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (1) CToIRSProof (EQUIVALENT) 4.41/1.96 Parsed C Integer Program as IRS. 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (2) 4.41/1.96 Obligation: 4.41/1.96 Rules: 4.41/1.96 f1(x, y) -> f2(x_1, y) :|: TRUE 4.41/1.96 f2(x1, x2) -> f3(x1, x3) :|: TRUE 4.41/1.96 f4(x4, x5) -> f5(x4, arith) :|: TRUE && arith = x5 + 1 4.41/1.96 f3(x6, x7) -> f4(x6, x7) :|: x6 >= x7 + 1 4.41/1.96 f5(x8, x9) -> f3(x8, x9) :|: TRUE 4.41/1.96 f3(x10, x11) -> f6(x10, x11) :|: x10 < x11 + 1 4.41/1.96 Start term: f1(x, y) 4.41/1.96 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (3) TerminationGraphProcessor (SOUND) 4.41/1.96 Constructed the termination graph and obtained one non-trivial SCC. 4.41/1.96 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (4) 4.41/1.96 Obligation: 4.41/1.96 Rules: 4.41/1.96 f3(x6, x7) -> f4(x6, x7) :|: x6 >= x7 + 1 4.41/1.96 f5(x8, x9) -> f3(x8, x9) :|: TRUE 4.41/1.96 f4(x4, x5) -> f5(x4, arith) :|: TRUE && arith = x5 + 1 4.41/1.96 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (5) IntTRSCompressionProof (EQUIVALENT) 4.41/1.96 Compressed rules. 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (6) 4.41/1.96 Obligation: 4.41/1.96 Rules: 4.41/1.96 f5(x8:0, x9:0) -> f5(x8:0, x9:0 + 1) :|: x9:0 + 1 <= x8:0 4.41/1.96 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (7) RankingReductionPairProof (EQUIVALENT) 4.41/1.96 Interpretation: 4.41/1.96 [ f5 ] = -1*f5_2 + f5_1 4.41/1.96 4.41/1.96 The following rules are decreasing: 4.41/1.96 f5(x8:0, x9:0) -> f5(x8:0, x9:0 + 1) :|: x9:0 + 1 <= x8:0 4.41/1.96 4.41/1.96 The following rules are bounded: 4.41/1.96 f5(x8:0, x9:0) -> f5(x8:0, x9:0 + 1) :|: x9:0 + 1 <= x8:0 4.41/1.96 4.41/1.96 4.41/1.96 ---------------------------------------- 4.41/1.96 4.41/1.96 (8) 4.41/1.96 YES 4.41/1.99 EOF
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