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C_Integer pair #487095336
details
property
value
status
complete
benchmark
PastaC9.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
3.04168 seconds
cpu usage
9.26268
user time
8.84089
system time
0.42179
max virtual memory
1.9542144E7
max residence set size
775228.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/benchmark/theBenchmark.c # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 0 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 45 ms] (4) IntTRS (5) IntTRSCompressionProof [EQUIVALENT, 25 ms] (6) IntTRS (7) PolynomialOrderProcessor [EQUIVALENT, 0 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) RankingReductionPairProof [EQUIVALENT, 6 ms] (12) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox/benchmark/theBenchmark.c ---------------------------------------- (1) CToIRSProof (EQUIVALENT) Parsed C Integer Program as IRS. ---------------------------------------- (2) Obligation: Rules: f1(x, y, random) -> f2(x_1, y, random) :|: TRUE f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE f4(x5, x6, x7) -> f5(x5, x6, x8) :|: TRUE f6(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 - 1 f9(x12, x13, x14) -> f10(x12, x13, x15) :|: TRUE f10(x16, x17, x18) -> f11(x16, x18, x18) :|: TRUE f7(x43, x44, x45) -> f12(x43, x46, x45) :|: TRUE && x46 = x44 - 1 f5(x22, x23, x24) -> f6(x22, x23, x24) :|: x24 < 42 f5(x25, x26, x27) -> f7(x25, x26, x27) :|: x27 >= 42 f11(x28, x29, x30) -> f8(x28, x29, x30) :|: TRUE f12(x31, x32, x33) -> f8(x31, x32, x33) :|: TRUE f3(x34, x35, x36) -> f4(x34, x35, x36) :|: x34 > 0 && x35 > 0 f8(x37, x38, x39) -> f3(x37, x38, x39) :|: TRUE f3(x40, x41, x42) -> f13(x40, x41, x42) :|: x40 <= 0 f3(x47, x48, x49) -> f13(x47, x48, x49) :|: x48 <= 0 Start term: f1(x, y, random) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained one non-trivial SCC. ---------------------------------------- (4) Obligation: Rules: f3(x34, x35, x36) -> f4(x34, x35, x36) :|: x34 > 0 && x35 > 0 f8(x37, x38, x39) -> f3(x37, x38, x39) :|: TRUE f11(x28, x29, x30) -> f8(x28, x29, x30) :|: TRUE f10(x16, x17, x18) -> f11(x16, x18, x18) :|: TRUE f9(x12, x13, x14) -> f10(x12, x13, x15) :|: TRUE f6(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 - 1 f5(x22, x23, x24) -> f6(x22, x23, x24) :|: x24 < 42 f4(x5, x6, x7) -> f5(x5, x6, x8) :|: TRUE f12(x31, x32, x33) -> f8(x31, x32, x33) :|: TRUE f7(x43, x44, x45) -> f12(x43, x46, x45) :|: TRUE && x46 = x44 - 1 f5(x25, x26, x27) -> f7(x25, x26, x27) :|: x27 >= 42 ---------------------------------------- (5) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (6) Obligation: Rules: f5(x25:0, x26:0, x27:0) -> f5(x25:0, x26:0 - 1, x8:0) :|: x25:0 > 0 && x26:0 > 1 && x27:0 > 41 f5(x, x1, x2) -> f5(x - 1, x3, x4) :|: x > 1 && x3 > 0 && x2 < 42 ---------------------------------------- (7) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f5(x, x1, x2)] = x The following rules are decreasing: f5(x, x1, x2) -> f5(x - 1, x3, x4) :|: x > 1 && x3 > 0 && x2 < 42 The following rules are bounded: f5(x25:0, x26:0, x27:0) -> f5(x25:0, x26:0 - 1, x8:0) :|: x25:0 > 0 && x26:0 > 1 && x27:0 > 41 f5(x, x1, x2) -> f5(x - 1, x3, x4) :|: x > 1 && x3 > 0 && x2 < 42 ----------------------------------------
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