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C_Integer 2019-03-28 22.15 pair #432272356
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex2.18_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n084.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.63119 seconds
cpu usage
7.13248
user time
6.77809
system time
0.354391
max virtual memory
1.9403724E7
max residence set size
535708.0
stage attributes
key
value
starexec-result
YES
output
6.94/2.50 YES 6.94/2.51 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 6.94/2.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.94/2.51 6.94/2.51 6.94/2.51 Termination of the given C Problem could be proven: 6.94/2.51 6.94/2.51 (0) C Problem 6.94/2.51 (1) CToIRSProof [EQUIVALENT, 0 ms] 6.94/2.51 (2) IntTRS 6.94/2.51 (3) TerminationGraphProcessor [SOUND, 35 ms] 6.94/2.51 (4) IntTRS 6.94/2.51 (5) IntTRSCompressionProof [EQUIVALENT, 11 ms] 6.94/2.51 (6) IntTRS 6.94/2.51 (7) TerminationGraphProcessor [EQUIVALENT, 3 ms] 6.94/2.51 (8) IntTRS 6.94/2.51 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 6.94/2.51 (10) IntTRS 6.94/2.51 (11) RankingReductionPairProof [EQUIVALENT, 6 ms] 6.94/2.51 (12) YES 6.94/2.51 6.94/2.51 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (0) 6.94/2.51 Obligation: 6.94/2.51 c file /export/starexec/sandbox/benchmark/theBenchmark.c 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (1) CToIRSProof (EQUIVALENT) 6.94/2.51 Parsed C Integer Program as IRS. 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (2) 6.94/2.51 Obligation: 6.94/2.51 Rules: 6.94/2.51 f1(x, y) -> f2(x_1, y) :|: TRUE 6.94/2.51 f2(x1, x2) -> f3(x1, x3) :|: TRUE 6.94/2.51 f4(x4, x5) -> f5(arith, x5) :|: TRUE && arith = x4 + x5 - 5 6.94/2.51 f5(x14, x15) -> f6(x14, x16) :|: TRUE && x16 = 0 - 2 * x15 6.94/2.51 f3(x8, x9) -> f4(x8, x9) :|: x8 > 0 6.94/2.51 f6(x10, x11) -> f3(x10, x11) :|: TRUE 6.94/2.51 f3(x12, x13) -> f7(x12, x13) :|: x12 <= 0 6.94/2.51 Start term: f1(x, y) 6.94/2.51 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (3) TerminationGraphProcessor (SOUND) 6.94/2.51 Constructed the termination graph and obtained one non-trivial SCC. 6.94/2.51 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (4) 6.94/2.51 Obligation: 6.94/2.51 Rules: 6.94/2.51 f3(x8, x9) -> f4(x8, x9) :|: x8 > 0 6.94/2.51 f6(x10, x11) -> f3(x10, x11) :|: TRUE 6.94/2.51 f5(x14, x15) -> f6(x14, x16) :|: TRUE && x16 = 0 - 2 * x15 6.94/2.51 f4(x4, x5) -> f5(arith, x5) :|: TRUE && arith = x4 + x5 - 5 6.94/2.51 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (5) IntTRSCompressionProof (EQUIVALENT) 6.94/2.51 Compressed rules. 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (6) 6.94/2.51 Obligation: 6.94/2.51 Rules: 6.94/2.51 f5(x14:0, x15:0) -> f5(x14:0 + (0 - 2 * x15:0) - 5, 0 - 2 * x15:0) :|: x14:0 > 0 6.94/2.51 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (7) TerminationGraphProcessor (EQUIVALENT) 6.94/2.51 Constructed the termination graph and obtained one non-trivial SCC. 6.94/2.51 6.94/2.51 f5(x14:0, x15:0) -> f5(x14:0 + (0 - 2 * x15:0) - 5, 0 - 2 * x15:0) :|: x14:0 > 0 6.94/2.51 has been transformed into 6.94/2.51 f5(x14:0, x15:0) -> f5(x14:0 + (0 - 2 * x15:0) - 5, 0 - 2 * x15:0) :|: x14:0 > 0 && x4 > 0. 6.94/2.51 6.94/2.51 6.94/2.51 f5(x14:0, x15:0) -> f5(x14:0 + (0 - 2 * x15:0) - 5, 0 - 2 * x15:0) :|: x14:0 > 0 && x4 > 0 and 6.94/2.51 f5(x14:0, x15:0) -> f5(x14:0 + (0 - 2 * x15:0) - 5, 0 - 2 * x15:0) :|: x14:0 > 0 && x4 > 0 6.94/2.51 have been merged into the new rule 6.94/2.51 f5(x12, x13) -> f5(x12 + (0 - 2 * x13) - 5 + (0 - 2 * (0 - 2 * x13)) - 5, 0 - 2 * (0 - 2 * x13)) :|: x12 > 0 && x14 > 0 && (x12 + (0 - 2 * x13) - 5 > 0 && x15 > 0) 6.94/2.51 6.94/2.51 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (8) 6.94/2.51 Obligation: 6.94/2.51 Rules: 6.94/2.51 f5(x16, x17) -> f5(x16 + 2 * x17 + -10, 4 * x17) :|: TRUE && x16 >= 1 && x18 >= 1 && x16 + -2 * x17 >= 6 && x19 >= 1 6.94/2.51 6.94/2.51 ---------------------------------------- 6.94/2.51 6.94/2.51 (9) IntTRSCompressionProof (EQUIVALENT) 6.94/2.51 Compressed rules. 6.94/2.51 ---------------------------------------- 6.94/2.51
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