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C_Integer 2019-03-28 22.15 pair #432271555
details
property
value
status
complete
benchmark
Urban-WST2013-Fig2-modified1000_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.50321 seconds
cpu usage
6.51313
user time
6.21696
system time
0.296176
max virtual memory
3.7601312E7
max residence set size
483828.0
stage attributes
key
value
starexec-result
YES
output
6.22/2.47 YES 6.22/2.48 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 6.22/2.48 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.22/2.48 6.22/2.48 6.22/2.48 Termination of the given C Problem could be proven: 6.22/2.48 6.22/2.48 (0) C Problem 6.22/2.48 (1) CToIRSProof [EQUIVALENT, 0 ms] 6.22/2.48 (2) IntTRS 6.22/2.48 (3) TerminationGraphProcessor [SOUND, 61 ms] 6.22/2.48 (4) IntTRS 6.22/2.48 (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] 6.22/2.48 (6) IntTRS 6.22/2.48 (7) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 6.22/2.48 (8) IntTRS 6.22/2.48 (9) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 6.22/2.48 (10) IntTRS 6.22/2.48 (11) PolynomialOrderProcessor [EQUIVALENT, 2 ms] 6.22/2.48 (12) YES 6.22/2.48 6.22/2.48 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (0) 6.22/2.48 Obligation: 6.22/2.48 c file /export/starexec/sandbox/benchmark/theBenchmark.c 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (1) CToIRSProof (EQUIVALENT) 6.22/2.48 Parsed C Integer Program as IRS. 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (2) 6.22/2.48 Obligation: 6.22/2.48 Rules: 6.22/2.48 f1(x1, x2) -> f2(x_1, x2) :|: TRUE 6.22/2.48 f2(x, x3) -> f3(x, x4) :|: TRUE 6.22/2.48 f4(x5, x6) -> f5(x5, 1000) :|: TRUE 6.22/2.48 f6(x7, x8) -> f7(x7, arith) :|: TRUE && arith = x8 - 1 6.22/2.48 f5(x9, x10) -> f6(x9, x10) :|: x10 > 1 6.22/2.48 f7(x11, x12) -> f5(x11, x12) :|: TRUE 6.22/2.48 f5(x13, x14) -> f8(x13, x14) :|: x14 <= 1 6.22/2.48 f8(x23, x24) -> f9(x25, x24) :|: TRUE && x25 = x23 + 1 6.22/2.48 f3(x17, x18) -> f4(x17, x18) :|: x17 <= 10 6.22/2.48 f9(x19, x20) -> f3(x19, x20) :|: TRUE 6.22/2.48 f3(x21, x22) -> f10(x21, x22) :|: x21 > 10 6.22/2.48 Start term: f1(x1, x2) 6.22/2.48 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (3) TerminationGraphProcessor (SOUND) 6.22/2.48 Constructed the termination graph and obtained one non-trivial SCC. 6.22/2.48 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (4) 6.22/2.48 Obligation: 6.22/2.48 Rules: 6.22/2.48 f3(x17, x18) -> f4(x17, x18) :|: x17 <= 10 6.22/2.48 f9(x19, x20) -> f3(x19, x20) :|: TRUE 6.22/2.48 f8(x23, x24) -> f9(x25, x24) :|: TRUE && x25 = x23 + 1 6.22/2.48 f5(x13, x14) -> f8(x13, x14) :|: x14 <= 1 6.22/2.48 f7(x11, x12) -> f5(x11, x12) :|: TRUE 6.22/2.48 f6(x7, x8) -> f7(x7, arith) :|: TRUE && arith = x8 - 1 6.22/2.48 f5(x9, x10) -> f6(x9, x10) :|: x10 > 1 6.22/2.48 f4(x5, x6) -> f5(x5, 1000) :|: TRUE 6.22/2.48 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (5) IntTRSCompressionProof (EQUIVALENT) 6.22/2.48 Compressed rules. 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (6) 6.22/2.48 Obligation: 6.22/2.48 Rules: 6.22/2.48 f5(x13:0, x14:0) -> f5(x13:0 + 1, 1000) :|: x14:0 < 2 && x13:0 < 10 6.22/2.48 f5(x9:0, x10:0) -> f5(x9:0, x10:0 - 1) :|: x10:0 > 1 6.22/2.48 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (7) PolynomialOrderProcessor (EQUIVALENT) 6.22/2.48 Found the following polynomial interpretation: 6.22/2.48 [f5(x, x1)] = 9 - x 6.22/2.48 6.22/2.48 The following rules are decreasing: 6.22/2.48 f5(x13:0, x14:0) -> f5(x13:0 + 1, 1000) :|: x14:0 < 2 && x13:0 < 10 6.22/2.48 The following rules are bounded: 6.22/2.48 f5(x13:0, x14:0) -> f5(x13:0 + 1, 1000) :|: x14:0 < 2 && x13:0 < 10 6.22/2.48 6.22/2.48 ---------------------------------------- 6.22/2.48 6.22/2.48 (8) 6.22/2.48 Obligation: 6.22/2.48 Rules: 6.22/2.48 f5(x9:0, x10:0) -> f5(x9:0, x10:0 - 1) :|: x10:0 > 1 6.22/2.48 6.22/2.48 ---------------------------------------- 6.22/2.48
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