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C_Integer 2019-03-28 22.15 pair #432271714
details
property
value
status
complete
benchmark
Nyala-2lex_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n154.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.45009 seconds
cpu usage
6.5
user time
6.14826
system time
0.351741
max virtual memory
1.9375812E7
max residence set size
498988.0
stage attributes
key
value
starexec-result
YES
output
6.36/2.40 YES 6.36/2.42 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 6.36/2.42 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.36/2.42 6.36/2.42 6.36/2.42 Termination of the given C Problem could be proven: 6.36/2.42 6.36/2.42 (0) C Problem 6.36/2.42 (1) CToIRSProof [EQUIVALENT, 0 ms] 6.36/2.42 (2) IntTRS 6.36/2.42 (3) TerminationGraphProcessor [SOUND, 52 ms] 6.36/2.42 (4) IntTRS 6.36/2.42 (5) IntTRSCompressionProof [EQUIVALENT, 52 ms] 6.36/2.42 (6) IntTRS 6.36/2.42 (7) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 6.36/2.42 (8) IntTRS 6.36/2.42 (9) RankingReductionPairProof [EQUIVALENT, 0 ms] 6.36/2.42 (10) YES 6.36/2.42 6.36/2.42 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (0) 6.36/2.42 Obligation: 6.36/2.42 c file /export/starexec/sandbox/benchmark/theBenchmark.c 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (1) CToIRSProof (EQUIVALENT) 6.36/2.42 Parsed C Integer Program as IRS. 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (2) 6.36/2.42 Obligation: 6.36/2.42 Rules: 6.36/2.42 f2(x, y) -> f3(x, arith) :|: TRUE && arith = y - 1 6.36/2.42 f4(x20, x21) -> f7(x22, x21) :|: TRUE && x22 = x20 - 1 6.36/2.42 f7(x3, x4) -> f8(x3, x5) :|: TRUE 6.36/2.42 f3(x6, x7) -> f4(x6, x7) :|: x7 < 0 6.36/2.42 f3(x8, x9) -> f5(x8, x9) :|: x9 >= 0 6.36/2.42 f8(x10, x11) -> f6(x10, x11) :|: TRUE 6.36/2.42 f5(x12, x13) -> f6(x12, x13) :|: TRUE 6.36/2.42 f1(x14, x15) -> f2(x14, x15) :|: x14 >= 0 && x15 >= 0 6.36/2.42 f6(x16, x17) -> f1(x16, x17) :|: TRUE 6.36/2.42 f1(x18, x19) -> f9(x18, x19) :|: x18 < 0 6.36/2.42 f1(x23, x24) -> f9(x23, x24) :|: x24 < 0 6.36/2.42 Start term: f1(x, y) 6.36/2.42 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (3) TerminationGraphProcessor (SOUND) 6.36/2.42 Constructed the termination graph and obtained one non-trivial SCC. 6.36/2.42 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (4) 6.36/2.42 Obligation: 6.36/2.42 Rules: 6.36/2.42 f1(x14, x15) -> f2(x14, x15) :|: x14 >= 0 && x15 >= 0 6.36/2.42 f6(x16, x17) -> f1(x16, x17) :|: TRUE 6.36/2.42 f8(x10, x11) -> f6(x10, x11) :|: TRUE 6.36/2.42 f7(x3, x4) -> f8(x3, x5) :|: TRUE 6.36/2.42 f4(x20, x21) -> f7(x22, x21) :|: TRUE && x22 = x20 - 1 6.36/2.42 f3(x6, x7) -> f4(x6, x7) :|: x7 < 0 6.36/2.42 f2(x, y) -> f3(x, arith) :|: TRUE && arith = y - 1 6.36/2.42 f5(x12, x13) -> f6(x12, x13) :|: TRUE 6.36/2.42 f3(x8, x9) -> f5(x8, x9) :|: x9 >= 0 6.36/2.42 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (5) IntTRSCompressionProof (EQUIVALENT) 6.36/2.42 Compressed rules. 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (6) 6.36/2.42 Obligation: 6.36/2.42 Rules: 6.36/2.42 f3(x8:0, x9:0) -> f3(x8:0, x9:0 - 1) :|: x9:0 > -1 && x8:0 > -1 6.36/2.42 f3(x6:0, x7:0) -> f3(x6:0 - 1, x5:0 - 1) :|: x6:0 > 0 && x5:0 > -1 && x7:0 < 0 6.36/2.42 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (7) PolynomialOrderProcessor (EQUIVALENT) 6.36/2.42 Found the following polynomial interpretation: 6.36/2.42 [f3(x, x1)] = x 6.36/2.42 6.36/2.42 The following rules are decreasing: 6.36/2.42 f3(x6:0, x7:0) -> f3(x6:0 - 1, x5:0 - 1) :|: x6:0 > 0 && x5:0 > -1 && x7:0 < 0 6.36/2.42 The following rules are bounded: 6.36/2.42 f3(x8:0, x9:0) -> f3(x8:0, x9:0 - 1) :|: x9:0 > -1 && x8:0 > -1 6.36/2.42 f3(x6:0, x7:0) -> f3(x6:0 - 1, x5:0 - 1) :|: x6:0 > 0 && x5:0 > -1 && x7:0 < 0 6.36/2.42 6.36/2.42 ---------------------------------------- 6.36/2.42 6.36/2.42 (8) 6.36/2.42 Obligation: 6.36/2.42 Rules: 6.36/2.42 f3(x8:0, x9:0) -> f3(x8:0, x9:0 - 1) :|: x9:0 > -1 && x8:0 > -1 6.36/2.42 6.36/2.42 ---------------------------------------- 6.36/2.42
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