details

property	value
status	complete
benchmark	ChenFlurMukhopadhyay-SAS2012-Ex2.09_true-termination.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Stroeder_15

run statistics

property	value
solver	AProVE
configuration	c
runtime (wallclock)	2.62306 seconds
cpu usage	7.57271
user time	7.20696
system time	0.365752
max virtual memory	1.9511228E7
max residence set size	642840.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 0 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 54 ms] (4) IntTRS (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] (6) IntTRS (7) TerminationGraphProcessor [EQUIVALENT, 6 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) RankingReductionPairProof [EQUIVALENT, 0 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, n) -> f2(x_1, y, n) :|: TRUE f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE f5(x9, x10, x11) -> f6(arith, x10, x11) :|: TRUE && arith = 0 - x9 + x10 - 5 f6(x24, x25, x26) -> f7(x24, x27, x26) :|: TRUE && x27 = 2 * x25 f4(x15, x16, x17) -> f5(x15, x16, x17) :|: x15 > 0 && x15 < x17 f7(x18, x19, x20) -> f4(x18, x19, x20) :|: TRUE f4(x21, x22, x23) -> f8(x21, x22, x23) :|: x21 <= 0 f4(x28, x29, x30) -> f8(x28, x29, x30) :|: x28 >= x30 Start term: f1(x, y, n) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained one non-trivial SCC. ---------------------------------------- (4) Obligation: Rules: f4(x15, x16, x17) -> f5(x15, x16, x17) :|: x15 > 0 && x15 < x17 f7(x18, x19, x20) -> f4(x18, x19, x20) :|: TRUE f6(x24, x25, x26) -> f7(x24, x27, x26) :|: TRUE && x27 = 2 * x25 f5(x9, x10, x11) -> f6(arith, x10, x11) :|: TRUE && arith = 0 - x9 + x10 - 5 ---------------------------------------- (5) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (6) Obligation: Rules: f6(x24:0, x25:0, x26:0) -> f6(0 - x24:0 + 2 * x25:0 - 5, 2 * x25:0, x26:0) :|: x24:0 > 0 && x26:0 > x24:0 ---------------------------------------- (7) TerminationGraphProcessor (EQUIVALENT) Constructed the termination graph and obtained one non-trivial SCC. f6(x24:0, x25:0, x26:0) -> f6(0 - x24:0 + 2 * x25:0 - 5, 2 * x25:0, x26:0) :|: x24:0 > 0 && x26:0 > x24:0 has been transformed into f6(x24:0, x25:0, x26:0) -> f6(0 - x24:0 + 2 * x25:0 - 5, 2 * x25:0, x26:0) :|: x26:0 = x8 && (x24:0 > 0 && x26:0 > x24:0) && x6 > 0 && x8 > x6. f6(x24:0, x25:0, x26:0) -> f6(0 - x24:0 + 2 * x25:0 - 5, 2 * x25:0, x26:0) :|: x26:0 = x8 && (x24:0 > 0 && x26:0 > x24:0) && x6 > 0 && x8 > x6 and f6(x24:0, x25:0, x26:0) -> f6(0 - x24:0 + 2 * x25:0 - 5, 2 * x25:0, x26:0) :|: x26:0 = x8 && (x24:0 > 0 && x26:0 > x24:0) && x6 > 0 && x8 > x6 have been merged into the new rule f6(x19, x20, x21) -> f6(0 - (0 - x19 + 2 * x20 - 5) + 2 * (2 * x20) - 5, 2 * (2 * x20), x21) :|: x21 = x22 && (x19 > 0 && x21 > x19) && x23 > 0 && x22 > x23 && (x21 = x24 && (0 - x19 + 2 * x20 - 5 > 0 && x21 > 0 - x19 + 2 * x20 - 5) && x25 > 0 && x24 > x25) ---------------------------------------- (8) Obligation: Rules: f6(x26, x27, x28) -> f6(x26 + 2 * x27, 4 * x27, x28) :|: TRUE && x28 + -1 * x29 = 0 && x26 >= 1 && x28 + -1 * x26 >= 1 && x30 >= 1 && x29 + -1 * x30 >= 1 && x28 + -1 * x31 = 0 && -1 * x26 + 2 * x27 >= 6 && x28 + x26 + -2 * x27 >= -4 && x32 >= 1 && x31 + -1 * x32 >= 1 ---------------------------------------- (9) IntTRSCompressionProof (EQUIVALENT) Compressed rules. popout

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job log

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actions

all output return to C_Integer