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C_Integer 2019-03-28 22.15 pair #432272122
details
property
value
status
complete
benchmark
Log.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n066.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.49315 seconds
cpu usage
6.64217
user time
6.30127
system time
0.340902
max virtual memory
1.9442576E7
max residence set size
541548.0
stage attributes
key
value
starexec-result
YES
output
6.32/2.44 YES 6.32/2.46 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 6.32/2.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.32/2.46 6.32/2.46 6.32/2.46 Termination of the given C Problem could be proven: 6.32/2.46 6.32/2.46 (0) C Problem 6.32/2.46 (1) CToIRSProof [EQUIVALENT, 0 ms] 6.32/2.46 (2) IntTRS 6.32/2.46 (3) TerminationGraphProcessor [SOUND, 67 ms] 6.32/2.46 (4) IntTRS 6.32/2.46 (5) IntTRSCompressionProof [EQUIVALENT, 18 ms] 6.32/2.46 (6) IntTRS 6.32/2.46 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 6.32/2.46 (8) IntTRS 6.32/2.46 (9) PolynomialOrderProcessor [EQUIVALENT, 1 ms] 6.32/2.46 (10) AND 6.32/2.46 (11) IntTRS 6.32/2.46 (12) TerminationGraphProcessor [EQUIVALENT, 0 ms] 6.32/2.46 (13) YES 6.32/2.46 (14) IntTRS 6.32/2.46 (15) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 6.32/2.46 (16) YES 6.32/2.46 6.32/2.46 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (0) 6.32/2.46 Obligation: 6.32/2.46 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (1) CToIRSProof (EQUIVALENT) 6.32/2.46 Parsed C Integer Program as IRS. 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (2) 6.32/2.46 Obligation: 6.32/2.46 Rules: 6.32/2.46 f1(x, xtmp, res, restmp) -> f2(x_1, xtmp, res, restmp) :|: TRUE 6.32/2.46 f2(x1, x2, x3, x4) -> f3(x1, x2, 0, x4) :|: TRUE 6.32/2.46 f4(x5, x6, x7, x8) -> f5(x5, x5, x7, x8) :|: TRUE 6.32/2.46 f5(x9, x10, x11, x12) -> f6(x9, x10, x11, 0) :|: TRUE 6.32/2.46 f7(x13, x14, x15, x16) -> f8(x13, arith, x15, x16) :|: TRUE && arith = x14 - 2 6.32/2.46 f8(x53, x54, x55, x56) -> f9(x53, x54, x55, x57) :|: TRUE && x57 = x56 + 1 6.32/2.46 f6(x21, x22, x23, x24) -> f7(x21, x22, x23, x24) :|: x22 > 1 6.32/2.46 f9(x25, x26, x27, x28) -> f6(x25, x26, x27, x28) :|: TRUE 6.32/2.46 f6(x29, x30, x31, x32) -> f10(x29, x30, x31, x32) :|: x30 <= 1 6.32/2.46 f10(x33, x34, x35, x36) -> f11(x34, x34, x35, x36) :|: TRUE 6.32/2.46 f11(x58, x59, x60, x61) -> f12(x58, x59, x62, x61) :|: TRUE && x62 = x60 + 1 6.32/2.46 f3(x41, x42, x43, x44) -> f4(x41, x42, x43, x44) :|: x41 > 1 6.32/2.46 f12(x45, x46, x47, x48) -> f3(x45, x46, x47, x48) :|: TRUE 6.32/2.46 f3(x49, x50, x51, x52) -> f13(x49, x50, x51, x52) :|: x49 <= 1 6.32/2.46 Start term: f1(x, xtmp, res, restmp) 6.32/2.46 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (3) TerminationGraphProcessor (SOUND) 6.32/2.46 Constructed the termination graph and obtained one non-trivial SCC. 6.32/2.46 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (4) 6.32/2.46 Obligation: 6.32/2.46 Rules: 6.32/2.46 f3(x41, x42, x43, x44) -> f4(x41, x42, x43, x44) :|: x41 > 1 6.32/2.46 f12(x45, x46, x47, x48) -> f3(x45, x46, x47, x48) :|: TRUE 6.32/2.46 f11(x58, x59, x60, x61) -> f12(x58, x59, x62, x61) :|: TRUE && x62 = x60 + 1 6.32/2.46 f10(x33, x34, x35, x36) -> f11(x34, x34, x35, x36) :|: TRUE 6.32/2.46 f6(x29, x30, x31, x32) -> f10(x29, x30, x31, x32) :|: x30 <= 1 6.32/2.46 f5(x9, x10, x11, x12) -> f6(x9, x10, x11, 0) :|: TRUE 6.32/2.46 f4(x5, x6, x7, x8) -> f5(x5, x5, x7, x8) :|: TRUE 6.32/2.46 f9(x25, x26, x27, x28) -> f6(x25, x26, x27, x28) :|: TRUE 6.32/2.46 f8(x53, x54, x55, x56) -> f9(x53, x54, x55, x57) :|: TRUE && x57 = x56 + 1 6.32/2.46 f7(x13, x14, x15, x16) -> f8(x13, arith, x15, x16) :|: TRUE && arith = x14 - 2 6.32/2.46 f6(x21, x22, x23, x24) -> f7(x21, x22, x23, x24) :|: x22 > 1 6.32/2.46 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (5) IntTRSCompressionProof (EQUIVALENT) 6.32/2.46 Compressed rules. 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (6) 6.32/2.46 Obligation: 6.32/2.46 Rules: 6.32/2.46 f6(x21:0, x22:0, x23:0, x24:0) -> f6(x21:0, x22:0 - 2, x23:0, x24:0 + 1) :|: x22:0 > 1 6.32/2.46 f6(x29:0, x30:0, x31:0, x32:0) -> f6(x30:0, x30:0, x31:0 + 1, 0) :|: x30:0 < 2 && x30:0 > 1 6.32/2.46 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 6.32/2.46 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 6.32/2.46 6.32/2.46 f6(x1, x2, x3, x4) -> f6(x2) 6.32/2.46 6.32/2.46 ---------------------------------------- 6.32/2.46 6.32/2.46 (8)
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