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C_Integer pair #487095123
details
property
value
status
complete
benchmark
Copenhagen_disj_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Ton_Chanh_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
6.35045 seconds
cpu usage
21.9739
user time
20.5304
system time
1.44357
max virtual memory
2.3171804E7
max residence set size
2231184.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 0 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 47 ms] (4) IntTRS (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] (6) IntTRS (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (8) IntTRS (9) CaseAnalysis [EQUIVALENT, 69 ms] (10) AND (11) IntTRS (12) IntTRSCompressionProof [EQUIVALENT, 0 ms] (13) IntTRS (14) PolynomialOrderProcessor [EQUIVALENT, 7 ms] (15) YES (16) IntTRS (17) IntTRSCompressionProof [EQUIVALENT, 0 ms] (18) IntTRS (19) RankingReductionPairProof [EQUIVALENT, 0 ms] (20) 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, oldx) -> f2(x_1, y, oldx) :|: TRUE f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE f4(x5, x6, x7) -> f5(x5, x6, x5) :|: TRUE f5(x8, x9, x10) -> f6(arith, x9, x10) :|: TRUE && arith = x9 - 1 f6(x23, x24, x25) -> f7(x23, x26, x25) :|: TRUE && x26 = x25 - 1 f3(x14, x15, x16) -> f4(x14, x15, x16) :|: x14 >= 0 f3(x27, x28, x29) -> f4(x27, x28, x29) :|: x28 >= 0 f7(x17, x18, x19) -> f3(x17, x18, x19) :|: TRUE f3(x20, x21, x22) -> f8(x20, x21, x22) :|: x20 < 0 && x21 < 0 Start term: f1(x, y, oldx) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained one non-trivial SCC. ---------------------------------------- (4) Obligation: Rules: f3(x14, x15, x16) -> f4(x14, x15, x16) :|: x14 >= 0 f7(x17, x18, x19) -> f3(x17, x18, x19) :|: TRUE f6(x23, x24, x25) -> f7(x23, x26, x25) :|: TRUE && x26 = x25 - 1 f5(x8, x9, x10) -> f6(arith, x9, x10) :|: TRUE && arith = x9 - 1 f4(x5, x6, x7) -> f5(x5, x6, x5) :|: TRUE f3(x27, x28, x29) -> f4(x27, x28, x29) :|: x28 >= 0 ---------------------------------------- (5) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (6) Obligation: Rules: f5(x8:0, x9:0, x10:0) -> f5(x9:0 - 1, x10:0 - 1, x9:0 - 1) :|: x10:0 > 0 f5(x, x1, x2) -> f5(x1 - 1, x2 - 1, x1 - 1) :|: x1 > 0 ---------------------------------------- (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: f5(x1, x2, x3) -> f5(x2, x3) ---------------------------------------- (8) Obligation: Rules: f5(x9:0, x10:0) -> f5(x10:0 - 1, x9:0 - 1) :|: x10:0 > 0 f5(x1, x2) -> f5(x2 - 1, x1 - 1) :|: x1 > 0 ----------------------------------------
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