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C_Integer 2019-03-28 22.15 pair #432272317
details
property
value
status
complete
benchmark
aaron2_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.38483 seconds
cpu usage
6.47233
user time
6.17562
system time
0.29672
max virtual memory
1.9009364E7
max residence set size
481720.0
stage attributes
key
value
starexec-result
YES
output
5.90/2.32 YES 5.90/2.34 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 5.90/2.34 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.90/2.34 5.90/2.34 5.90/2.34 Termination of the given C Problem could be proven: 5.90/2.34 5.90/2.34 (0) C Problem 5.90/2.34 (1) CToIRSProof [EQUIVALENT, 0 ms] 5.90/2.34 (2) IntTRS 5.90/2.34 (3) TerminationGraphProcessor [SOUND, 63 ms] 5.90/2.34 (4) IntTRS 5.90/2.34 (5) IntTRSCompressionProof [EQUIVALENT, 12 ms] 5.90/2.34 (6) IntTRS 5.90/2.34 (7) PolynomialOrderProcessor [EQUIVALENT, 17 ms] 5.90/2.34 (8) YES 5.90/2.34 5.90/2.34 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (0) 5.90/2.34 Obligation: 5.90/2.34 c file /export/starexec/sandbox/benchmark/theBenchmark.c 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (1) CToIRSProof (EQUIVALENT) 5.90/2.34 Parsed C Integer Program as IRS. 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (2) 5.90/2.34 Obligation: 5.90/2.34 Rules: 5.90/2.34 f1(x, y, tx) -> f2(x, y, x_1) :|: TRUE 5.90/2.34 f2(x1, x2, x3) -> f3(x4, x2, x3) :|: TRUE 5.90/2.34 f3(x5, x6, x7) -> f4(x5, x8, x7) :|: TRUE 5.90/2.34 f6(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 - 1 - x11 5.90/2.34 f7(x38, x39, x40) -> f10(x38, x41, x40) :|: TRUE && x41 = x39 + 1 + x40 5.90/2.34 f5(x15, x16, x17) -> f6(x15, x16, x17) :|: x18 < 0 5.90/2.34 f5(x42, x43, x44) -> f6(x42, x43, x44) :|: x45 > 0 5.90/2.34 f5(x19, x20, x21) -> f7(x19, x20, x21) :|: x22 = 0 5.90/2.34 f9(x23, x24, x25) -> f8(x23, x24, x25) :|: TRUE 5.90/2.34 f10(x26, x27, x28) -> f8(x26, x27, x28) :|: TRUE 5.90/2.34 f4(x29, x30, x31) -> f5(x29, x30, x31) :|: x29 >= x30 && x31 >= 0 5.90/2.34 f8(x32, x33, x34) -> f4(x32, x33, x34) :|: TRUE 5.90/2.34 f4(x35, x36, x37) -> f11(x35, x36, x37) :|: x35 < x36 5.90/2.34 f4(x46, x47, x48) -> f11(x46, x47, x48) :|: x48 < 0 5.90/2.34 Start term: f1(x, y, tx) 5.90/2.34 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (3) TerminationGraphProcessor (SOUND) 5.90/2.34 Constructed the termination graph and obtained one non-trivial SCC. 5.90/2.34 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (4) 5.90/2.34 Obligation: 5.90/2.34 Rules: 5.90/2.34 f4(x29, x30, x31) -> f5(x29, x30, x31) :|: x29 >= x30 && x31 >= 0 5.90/2.34 f8(x32, x33, x34) -> f4(x32, x33, x34) :|: TRUE 5.90/2.34 f9(x23, x24, x25) -> f8(x23, x24, x25) :|: TRUE 5.90/2.34 f6(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 - 1 - x11 5.90/2.34 f5(x15, x16, x17) -> f6(x15, x16, x17) :|: x18 < 0 5.90/2.34 f5(x42, x43, x44) -> f6(x42, x43, x44) :|: x45 > 0 5.90/2.34 f10(x26, x27, x28) -> f8(x26, x27, x28) :|: TRUE 5.90/2.34 f7(x38, x39, x40) -> f10(x38, x41, x40) :|: TRUE && x41 = x39 + 1 + x40 5.90/2.34 f5(x19, x20, x21) -> f7(x19, x20, x21) :|: x22 = 0 5.90/2.34 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (5) IntTRSCompressionProof (EQUIVALENT) 5.90/2.34 Compressed rules. 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (6) 5.90/2.34 Obligation: 5.90/2.34 Rules: 5.90/2.34 f8(x32:0, x33:0, x34:0) -> f8(x32:0 - 1 - x34:0, x33:0, x34:0) :|: x33:0 <= x32:0 && x34:0 > -1 && x45:0 > 0 5.90/2.34 f8(x, x1, x2) -> f8(x - 1 - x2, x1, x2) :|: x1 <= x && x2 > -1 && x3 < 0 5.90/2.34 f8(x4, x5, x6) -> f8(x4, x5 + 1 + x6, x6) :|: x5 <= x4 && x6 > -1 5.90/2.34 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (7) PolynomialOrderProcessor (EQUIVALENT) 5.90/2.34 Found the following polynomial interpretation: 5.90/2.34 [f8(x, x1, x2)] = x - x1 5.90/2.34 5.90/2.34 The following rules are decreasing: 5.90/2.34 f8(x32:0, x33:0, x34:0) -> f8(x32:0 - 1 - x34:0, x33:0, x34:0) :|: x33:0 <= x32:0 && x34:0 > -1 && x45:0 > 0 5.90/2.34 f8(x, x1, x2) -> f8(x - 1 - x2, x1, x2) :|: x1 <= x && x2 > -1 && x3 < 0 5.90/2.34 f8(x4, x5, x6) -> f8(x4, x5 + 1 + x6, x6) :|: x5 <= x4 && x6 > -1 5.90/2.34 The following rules are bounded: 5.90/2.34 f8(x32:0, x33:0, x34:0) -> f8(x32:0 - 1 - x34:0, x33:0, x34:0) :|: x33:0 <= x32:0 && x34:0 > -1 && x45:0 > 0 5.90/2.34 f8(x, x1, x2) -> f8(x - 1 - x2, x1, x2) :|: x1 <= x && x2 > -1 && x3 < 0 5.90/2.34 f8(x4, x5, x6) -> f8(x4, x5 + 1 + x6, x6) :|: x5 <= x4 && x6 > -1 5.90/2.34 5.90/2.34 ---------------------------------------- 5.90/2.34 5.90/2.34 (8) 5.90/2.34 YES
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