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C_Integer pair #487095861
details
property
value
status
complete
benchmark
AliasDarteFeautrierGonnord-SAS2010-cousot9_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
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.4033 seconds
cpu usage
6.51067
user time
6.19863
system time
0.312034
max virtual memory
1.9441528E7
max residence set size
543556.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 0 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 61 ms] (4) IntTRS (5) IntTRSCompressionProof [EQUIVALENT, 29 ms] (6) IntTRS (7) RankingReductionPairProof [EQUIVALENT, 29 ms] (8) IntTRS (9) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (10) IntTRS (11) PolynomialOrderProcessor [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(i, j, N) -> f2(i, x_1, N) :|: TRUE f2(x, x1, x2) -> f3(x, x1, x3) :|: TRUE f3(x4, x5, x6) -> f4(x6, x5, x6) :|: TRUE f6(x7, x8, x9) -> f9(x7, arith, x9) :|: TRUE && arith = x8 - 1 f7(x10, x11, x12) -> f10(x10, x12, x12) :|: TRUE f10(x37, x38, x39) -> f11(x40, x38, x39) :|: TRUE && x40 = x37 - 1 f5(x16, x17, x18) -> f6(x16, x17, x18) :|: x17 > 0 f5(x19, x20, x21) -> f7(x19, x20, x21) :|: x20 <= 0 f9(x22, x23, x24) -> f8(x22, x23, x24) :|: TRUE f11(x25, x26, x27) -> f8(x25, x26, x27) :|: TRUE f4(x28, x29, x30) -> f5(x28, x29, x30) :|: x28 > 0 f8(x31, x32, x33) -> f4(x31, x32, x33) :|: TRUE f4(x34, x35, x36) -> f12(x34, x35, x36) :|: x34 <= 0 Start term: f1(i, j, N) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained one non-trivial SCC. ---------------------------------------- (4) Obligation: Rules: f4(x28, x29, x30) -> f5(x28, x29, x30) :|: x28 > 0 f8(x31, x32, x33) -> f4(x31, x32, x33) :|: TRUE f9(x22, x23, x24) -> f8(x22, x23, x24) :|: TRUE f6(x7, x8, x9) -> f9(x7, arith, x9) :|: TRUE && arith = x8 - 1 f5(x16, x17, x18) -> f6(x16, x17, x18) :|: x17 > 0 f11(x25, x26, x27) -> f8(x25, x26, x27) :|: TRUE f10(x37, x38, x39) -> f11(x40, x38, x39) :|: TRUE && x40 = x37 - 1 f7(x10, x11, x12) -> f10(x10, x12, x12) :|: TRUE f5(x19, x20, x21) -> f7(x19, x20, x21) :|: x20 <= 0 ---------------------------------------- (5) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (6) Obligation: Rules: f8(x31:0, x32:0, x33:0) -> f8(x31:0, x32:0 - 1, x33:0) :|: x31:0 > 0 && x32:0 > 0 f8(x, x1, x2) -> f8(x - 1, x2, x2) :|: x > 0 && x1 < 1 ---------------------------------------- (7) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f8 ] = f8_1 The following rules are decreasing: f8(x, x1, x2) -> f8(x - 1, x2, x2) :|: x > 0 && x1 < 1 The following rules are bounded: f8(x31:0, x32:0, x33:0) -> f8(x31:0, x32:0 - 1, x33:0) :|: x31:0 > 0 && x32:0 > 0 f8(x, x1, x2) -> f8(x - 1, x2, x2) :|: x > 0 && x1 < 1 ---------------------------------------- (8)
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