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C_Integer pair #487095231
details
property
value
status
complete
benchmark
LeikeHeizmann-TACAS2014-Ex7_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.54882 seconds
cpu usage
6.88944
user time
6.49907
system time
0.390371
max virtual memory
1.9439468E7
max residence set size
551636.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 0 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 40 ms] (4) IntTRS (5) IntTRSCompressionProof [EQUIVALENT, 44 ms] (6) IntTRS (7) TerminationGraphProcessor [EQUIVALENT, 0 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) RankingReductionPairProof [EQUIVALENT, 5 ms] (12) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox2/benchmark/theBenchmark.c ---------------------------------------- (1) CToIRSProof (EQUIVALENT) Parsed C Integer Program as IRS. ---------------------------------------- (2) Obligation: Rules: f1(q, z) -> f2(x_1, z) :|: TRUE f2(x, x1) -> f3(x, x2) :|: TRUE f4(x3, x4) -> f5(arith, x4) :|: TRUE && arith = x3 + x4 - 1 f5(x13, x14) -> f6(x13, x15) :|: TRUE && x15 = 0 - x14 f3(x7, x8) -> f4(x7, x8) :|: x7 > 0 f6(x9, x10) -> f3(x9, x10) :|: TRUE f3(x11, x12) -> f7(x11, x12) :|: x11 <= 0 Start term: f1(q, z) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained one non-trivial SCC. ---------------------------------------- (4) Obligation: Rules: f3(x7, x8) -> f4(x7, x8) :|: x7 > 0 f6(x9, x10) -> f3(x9, x10) :|: TRUE f5(x13, x14) -> f6(x13, x15) :|: TRUE && x15 = 0 - x14 f4(x3, x4) -> f5(arith, x4) :|: TRUE && arith = x3 + x4 - 1 ---------------------------------------- (5) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (6) Obligation: Rules: f5(x13:0, x14:0) -> f5(x13:0 + (0 - x14:0) - 1, 0 - x14:0) :|: x13:0 > 0 ---------------------------------------- (7) TerminationGraphProcessor (EQUIVALENT) Constructed the termination graph and obtained one non-trivial SCC. f5(x13:0, x14:0) -> f5(x13:0 + (0 - x14:0) - 1, 0 - x14:0) :|: x13:0 > 0 has been transformed into f5(x13:0, x14:0) -> f5(x13:0 + (0 - x14:0) - 1, 0 - x14:0) :|: x13:0 > 0 && x4 > 0. f5(x13:0, x14:0) -> f5(x13:0 + (0 - x14:0) - 1, 0 - x14:0) :|: x13:0 > 0 && x4 > 0 and f5(x13:0, x14:0) -> f5(x13:0 + (0 - x14:0) - 1, 0 - x14:0) :|: x13:0 > 0 && x4 > 0 have been merged into the new rule f5(x12, x13) -> f5(x12 + (0 - x13) - 1 + (0 - (0 - x13)) - 1, 0 - (0 - x13)) :|: x12 > 0 && x14 > 0 && (x12 + (0 - x13) - 1 > 0 && x15 > 0) ---------------------------------------- (8) Obligation: Rules: f5(x16, x17) -> f5(x16 + -2, x17) :|: TRUE && x16 >= 1 && x18 >= 1 && x16 + -1 * x17 >= 2 && x19 >= 1 ---------------------------------------- (9) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ----------------------------------------
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