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C_Integer 2019-03-28 22.15 pair #432272050
details
property
value
status
complete
benchmark
ChenFlurMukhopadhyay-SAS2012-Ex4.01_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n034.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.74307 seconds
cpu usage
7.97259
user time
7.57704
system time
0.395553
max virtual memory
1.9073656E7
max residence set size
643136.0
stage attributes
key
value
starexec-result
YES
output
7.55/2.68 YES 7.55/2.70 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 7.55/2.70 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.55/2.70 7.55/2.70 7.55/2.70 Termination of the given C Problem could be proven: 7.55/2.70 7.55/2.70 (0) C Problem 7.55/2.70 (1) CToIRSProof [EQUIVALENT, 0 ms] 7.55/2.70 (2) IntTRS 7.55/2.70 (3) TerminationGraphProcessor [SOUND, 52 ms] 7.55/2.70 (4) IntTRS 7.55/2.70 (5) IntTRSCompressionProof [EQUIVALENT, 29 ms] 7.55/2.70 (6) IntTRS 7.55/2.70 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 7.55/2.70 (8) IntTRS 7.55/2.70 (9) TerminationGraphProcessor [EQUIVALENT, 3 ms] 7.55/2.70 (10) IntTRS 7.55/2.70 (11) IntTRSCompressionProof [EQUIVALENT, 0 ms] 7.55/2.70 (12) IntTRS 7.55/2.70 (13) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 7.55/2.70 (14) YES 7.55/2.70 7.55/2.70 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (0) 7.55/2.70 Obligation: 7.55/2.70 c file /export/starexec/sandbox/benchmark/theBenchmark.c 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (1) CToIRSProof (EQUIVALENT) 7.55/2.70 Parsed C Integer Program as IRS. 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (2) 7.55/2.70 Obligation: 7.55/2.70 Rules: 7.55/2.70 f1(x, y, z, n) -> f2(x_1, y, z, n) :|: TRUE 7.55/2.70 f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE 7.55/2.70 f3(x6, x7, x8, x9) -> f4(x6, x7, x10, x9) :|: TRUE 7.55/2.70 f4(x11, x12, x13, x14) -> f5(x11, x12, x13, x15) :|: TRUE 7.55/2.70 f6(x16, x17, x18, x19) -> f7(arith, x17, x18, x19) :|: TRUE && arith = 2 * x16 + x17 7.55/2.70 f7(x20, x21, x22, x23) -> f8(x20, x22, x22, x23) :|: TRUE 7.55/2.70 f8(x24, x25, x26, x27) -> f9(x24, x25, x26, x27) :|: TRUE 7.55/2.70 f9(x44, x45, x46, x47) -> f10(x44, x45, x48, x47) :|: TRUE && x48 = x46 + 1 7.55/2.70 f5(x32, x33, x34, x35) -> f6(x32, x33, x34, x35) :|: x32 + x33 >= 0 && x32 <= x35 7.55/2.70 f10(x36, x37, x38, x39) -> f5(x36, x37, x38, x39) :|: TRUE 7.55/2.70 f5(x40, x41, x42, x43) -> f11(x40, x41, x42, x43) :|: x40 + x41 < 0 7.55/2.70 f5(x49, x50, x51, x52) -> f11(x49, x50, x51, x52) :|: x49 > x52 7.55/2.70 Start term: f1(x, y, z, n) 7.55/2.70 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (3) TerminationGraphProcessor (SOUND) 7.55/2.70 Constructed the termination graph and obtained one non-trivial SCC. 7.55/2.70 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (4) 7.55/2.70 Obligation: 7.55/2.70 Rules: 7.55/2.70 f5(x32, x33, x34, x35) -> f6(x32, x33, x34, x35) :|: x32 + x33 >= 0 && x32 <= x35 7.55/2.70 f10(x36, x37, x38, x39) -> f5(x36, x37, x38, x39) :|: TRUE 7.55/2.70 f9(x44, x45, x46, x47) -> f10(x44, x45, x48, x47) :|: TRUE && x48 = x46 + 1 7.55/2.70 f8(x24, x25, x26, x27) -> f9(x24, x25, x26, x27) :|: TRUE 7.55/2.70 f7(x20, x21, x22, x23) -> f8(x20, x22, x22, x23) :|: TRUE 7.55/2.70 f6(x16, x17, x18, x19) -> f7(arith, x17, x18, x19) :|: TRUE && arith = 2 * x16 + x17 7.55/2.70 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (5) IntTRSCompressionProof (EQUIVALENT) 7.55/2.70 Compressed rules. 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (6) 7.55/2.70 Obligation: 7.55/2.70 Rules: 7.55/2.70 f7(x20:0, x21:0, x22:0, x23:0) -> f7(2 * x20:0 + x22:0, x22:0, x22:0 + 1, x23:0) :|: x20:0 + x22:0 >= 0 && x23:0 >= x20:0 7.55/2.70 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 7.55/2.70 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 7.55/2.70 7.55/2.70 f7(x1, x2, x3, x4) -> f7(x1, x3, x4) 7.55/2.70 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (8) 7.55/2.70 Obligation: 7.55/2.70 Rules: 7.55/2.70 f7(x20:0, x22:0, x23:0) -> f7(2 * x20:0 + x22:0, x22:0 + 1, x23:0) :|: x20:0 + x22:0 >= 0 && x23:0 >= x20:0 7.55/2.70 7.55/2.70 ---------------------------------------- 7.55/2.70 7.55/2.70 (9) TerminationGraphProcessor (EQUIVALENT) 7.55/2.70 Constructed the termination graph and obtained one non-trivial SCC. 7.55/2.70 7.55/2.70 f7(x20:0, x22:0, x23:0) -> f7(2 * x20:0 + x22:0, x22:0 + 1, x23:0) :|: x20:0 + x22:0 >= 0 && x23:0 >= x20:0
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