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C_Integer 2019-03-28 22.15 pair #432272326
details
property
value
status
complete
benchmark
AliasDarteFeautrierGonnord-SAS2010-wcet2_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
3.0251 seconds
cpu usage
8.65102
user time
8.13955
system time
0.51147
max virtual memory
1.9478896E7
max residence set size
684432.0
stage attributes
key
value
starexec-result
YES
output
8.18/2.97 YES 8.57/2.98 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 8.57/2.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.57/2.98 8.57/2.98 8.57/2.98 Termination of the given C Problem could be proven: 8.57/2.98 8.57/2.98 (0) C Problem 8.57/2.98 (1) CToIRSProof [EQUIVALENT, 0 ms] 8.57/2.98 (2) IntTRS 8.57/2.98 (3) TerminationGraphProcessor [SOUND, 66 ms] 8.57/2.98 (4) IntTRS 8.57/2.98 (5) IntTRSCompressionProof [EQUIVALENT, 7 ms] 8.57/2.98 (6) IntTRS 8.57/2.98 (7) PolynomialOrderProcessor [EQUIVALENT, 2 ms] 8.57/2.98 (8) IntTRS 8.57/2.98 (9) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 8.57/2.98 (10) AND 8.57/2.98 (11) IntTRS 8.57/2.98 (12) TerminationGraphProcessor [EQUIVALENT, 3 ms] 8.57/2.98 (13) YES 8.57/2.98 (14) IntTRS 8.57/2.98 (15) RankingReductionPairProof [EQUIVALENT, 4 ms] 8.57/2.98 (16) YES 8.57/2.98 8.57/2.98 8.57/2.98 ---------------------------------------- 8.57/2.98 8.57/2.98 (0) 8.57/2.98 Obligation: 8.57/2.98 c file /export/starexec/sandbox/benchmark/theBenchmark.c 8.57/2.98 ---------------------------------------- 8.57/2.98 8.57/2.98 (1) CToIRSProof (EQUIVALENT) 8.57/2.98 Parsed C Integer Program as IRS. 8.57/2.98 ---------------------------------------- 8.57/2.98 8.57/2.98 (2) 8.57/2.98 Obligation: 8.57/2.98 Rules: 8.57/2.98 f1(i, j) -> f2(x_1, j) :|: TRUE 8.57/2.98 f2(x, x1) -> f3(x, x2) :|: TRUE 8.57/2.98 f4(x3, x4) -> f5(x3, 0) :|: TRUE 8.57/2.98 f6(x5, x6) -> f7(x5, arith) :|: TRUE && arith = x6 + 1 8.57/2.98 f5(x7, x8) -> f6(x7, x8) :|: x7 > 2 && x8 <= 9 8.57/2.98 f7(x9, x10) -> f5(x9, x10) :|: TRUE 8.57/2.98 f5(x11, x12) -> f8(x11, x12) :|: x11 <= 2 8.57/2.98 f5(x21, x22) -> f8(x21, x22) :|: x22 > 9 8.57/2.98 f8(x23, x24) -> f9(x25, x24) :|: TRUE && x25 = x23 + 1 8.57/2.98 f3(x15, x16) -> f4(x15, x16) :|: x15 < 5 8.57/2.98 f9(x17, x18) -> f3(x17, x18) :|: TRUE 8.57/2.98 f3(x19, x20) -> f10(x19, x20) :|: x19 >= 5 8.57/2.98 Start term: f1(i, j) 8.57/2.98 8.57/2.98 ---------------------------------------- 8.57/2.98 8.57/2.98 (3) TerminationGraphProcessor (SOUND) 8.57/2.98 Constructed the termination graph and obtained one non-trivial SCC. 8.57/2.98 8.57/2.98 ---------------------------------------- 8.57/2.98 8.57/2.98 (4) 8.57/2.98 Obligation: 8.57/2.98 Rules: 8.57/2.98 f3(x15, x16) -> f4(x15, x16) :|: x15 < 5 8.57/2.98 f9(x17, x18) -> f3(x17, x18) :|: TRUE 8.57/2.98 f8(x23, x24) -> f9(x25, x24) :|: TRUE && x25 = x23 + 1 8.57/2.98 f5(x11, x12) -> f8(x11, x12) :|: x11 <= 2 8.57/2.98 f4(x3, x4) -> f5(x3, 0) :|: TRUE 8.57/2.98 f7(x9, x10) -> f5(x9, x10) :|: TRUE 8.57/2.98 f6(x5, x6) -> f7(x5, arith) :|: TRUE && arith = x6 + 1 8.57/2.98 f5(x7, x8) -> f6(x7, x8) :|: x7 > 2 && x8 <= 9 8.57/2.98 f5(x21, x22) -> f8(x21, x22) :|: x22 > 9 8.57/2.98 8.57/2.98 ---------------------------------------- 8.57/2.98 8.57/2.98 (5) IntTRSCompressionProof (EQUIVALENT) 8.57/2.98 Compressed rules. 8.57/2.98 ---------------------------------------- 8.57/2.98 8.57/2.98 (6) 8.57/2.98 Obligation: 8.57/2.98 Rules: 8.57/2.98 f5(x7:0, x8:0) -> f5(x7:0, x8:0 + 1) :|: x7:0 > 2 && x8:0 < 10 8.57/2.98 f5(x11:0, x12:0) -> f5(x11:0 + 1, 0) :|: x11:0 < 3 && x11:0 < 4 8.57/2.98 f5(x21:0, x22:0) -> f5(x21:0 + 1, 0) :|: x22:0 > 9 && x21:0 < 4 8.57/2.98 8.57/2.98 ---------------------------------------- 8.57/2.98 8.57/2.98 (7) PolynomialOrderProcessor (EQUIVALENT) 8.57/2.98 Found the following polynomial interpretation: 8.57/2.98 [f5(x, x1)] = 11 - 7*x + x^2 8.57/2.98 8.57/2.98 The following rules are decreasing: 8.57/2.98 f5(x11:0, x12:0) -> f5(x11:0 + 1, 0) :|: x11:0 < 3 && x11:0 < 4 8.57/2.98 The following rules are bounded: 8.57/2.98 f5(x11:0, x12:0) -> f5(x11:0 + 1, 0) :|: x11:0 < 3 && x11:0 < 4 8.57/2.98 8.57/2.98 ---------------------------------------- 8.57/2.98
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