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C_Integer 2019-03-28 22.15 pair #432271822
details
property
value
status
complete
benchmark
PastaC2.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n067.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.29672 seconds
cpu usage
5.60406
user time
5.25587
system time
0.348196
max virtual memory
1.9208828E7
max residence set size
474608.0
stage attributes
key
value
starexec-result
YES
output
5.21/2.25 YES 5.21/2.26 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 5.21/2.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.21/2.26 5.21/2.26 5.21/2.26 Termination of the given C Problem could be proven: 5.21/2.26 5.21/2.26 (0) C Problem 5.21/2.26 (1) CToIRSProof [EQUIVALENT, 0 ms] 5.21/2.26 (2) IntTRS 5.21/2.26 (3) TerminationGraphProcessor [SOUND, 53 ms] 5.21/2.26 (4) IntTRS 5.21/2.26 (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] 5.21/2.26 (6) IntTRS 5.21/2.26 (7) PolynomialOrderProcessor [EQUIVALENT, 19 ms] 5.21/2.26 (8) IntTRS 5.21/2.26 (9) RankingReductionPairProof [EQUIVALENT, 4 ms] 5.21/2.26 (10) YES 5.21/2.26 5.21/2.26 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (0) 5.21/2.26 Obligation: 5.21/2.26 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (1) CToIRSProof (EQUIVALENT) 5.21/2.26 Parsed C Integer Program as IRS. 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (2) 5.21/2.26 Obligation: 5.21/2.26 Rules: 5.21/2.26 f1(x, y) -> f2(x_1, y) :|: TRUE 5.21/2.26 f3(x1, x2) -> f4(arith, x2) :|: TRUE && arith = x1 + 1 5.21/2.26 f4(x3, x4) -> f5(x3, 1) :|: TRUE 5.21/2.26 f6(x21, x22) -> f7(x21, x23) :|: TRUE && x23 = x22 + 1 5.21/2.26 f5(x7, x8) -> f6(x7, x8) :|: x7 >= x8 5.21/2.26 f7(x9, x10) -> f5(x9, x10) :|: TRUE 5.21/2.26 f5(x11, x12) -> f8(x11, x12) :|: x11 < x12 5.21/2.26 f8(x24, x25) -> f9(x26, x25) :|: TRUE && x26 = x24 - 2 5.21/2.26 f2(x15, x16) -> f3(x15, x16) :|: x15 >= 0 5.21/2.26 f9(x17, x18) -> f2(x17, x18) :|: TRUE 5.21/2.26 f2(x19, x20) -> f10(x19, x20) :|: x19 < 0 5.21/2.26 Start term: f1(x, y) 5.21/2.26 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (3) TerminationGraphProcessor (SOUND) 5.21/2.26 Constructed the termination graph and obtained one non-trivial SCC. 5.21/2.26 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (4) 5.21/2.26 Obligation: 5.21/2.26 Rules: 5.21/2.26 f2(x15, x16) -> f3(x15, x16) :|: x15 >= 0 5.21/2.26 f9(x17, x18) -> f2(x17, x18) :|: TRUE 5.21/2.26 f8(x24, x25) -> f9(x26, x25) :|: TRUE && x26 = x24 - 2 5.21/2.26 f5(x11, x12) -> f8(x11, x12) :|: x11 < x12 5.21/2.26 f4(x3, x4) -> f5(x3, 1) :|: TRUE 5.21/2.26 f3(x1, x2) -> f4(arith, x2) :|: TRUE && arith = x1 + 1 5.21/2.26 f7(x9, x10) -> f5(x9, x10) :|: TRUE 5.21/2.26 f6(x21, x22) -> f7(x21, x23) :|: TRUE && x23 = x22 + 1 5.21/2.26 f5(x7, x8) -> f6(x7, x8) :|: x7 >= x8 5.21/2.26 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (5) IntTRSCompressionProof (EQUIVALENT) 5.21/2.26 Compressed rules. 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (6) 5.21/2.26 Obligation: 5.21/2.26 Rules: 5.21/2.26 f5(x7:0, x8:0) -> f5(x7:0, x8:0 + 1) :|: x8:0 <= x7:0 5.21/2.26 f5(x11:0, x12:0) -> f5(x11:0 - 1, 1) :|: x12:0 > x11:0 && x11:0 > 1 5.21/2.26 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (7) PolynomialOrderProcessor (EQUIVALENT) 5.21/2.26 Found the following polynomial interpretation: 5.21/2.26 [f5(x, x1)] = x^2 5.21/2.26 5.21/2.26 The following rules are decreasing: 5.21/2.26 f5(x11:0, x12:0) -> f5(x11:0 - 1, 1) :|: x12:0 > x11:0 && x11:0 > 1 5.21/2.26 The following rules are bounded: 5.21/2.26 f5(x7:0, x8:0) -> f5(x7:0, x8:0 + 1) :|: x8:0 <= x7:0 5.21/2.26 f5(x11:0, x12:0) -> f5(x11:0 - 1, 1) :|: x12:0 > x11:0 && x11:0 > 1 5.21/2.26 5.21/2.26 ---------------------------------------- 5.21/2.26 5.21/2.26 (8) 5.21/2.26 Obligation: 5.21/2.26 Rules: 5.21/2.26 f5(x7:0, x8:0) -> f5(x7:0, x8:0 + 1) :|: x8:0 <= x7:0 5.21/2.26 5.21/2.26 ---------------------------------------- 5.21/2.26
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