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C_Integer 2019-03-28 22.15 pair #432272023
details
property
value
status
complete
benchmark
AliasDarteFeautrierGonnord-SAS2010-terminate_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n057.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.30593 seconds
cpu usage
5.38399
user time
5.10508
system time
0.278914
max virtual memory
3.6437744E7
max residence set size
434016.0
stage attributes
key
value
starexec-result
YES
output
5.19/2.24 YES 5.19/2.26 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 5.19/2.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.19/2.26 5.19/2.26 5.19/2.26 Termination of the given C Problem could be proven: 5.19/2.26 5.19/2.26 (0) C Problem 5.19/2.26 (1) CToIRSProof [EQUIVALENT, 0 ms] 5.19/2.26 (2) IntTRS 5.19/2.26 (3) TerminationGraphProcessor [SOUND, 49 ms] 5.19/2.26 (4) IntTRS 5.19/2.26 (5) IntTRSCompressionProof [EQUIVALENT, 16 ms] 5.19/2.26 (6) IntTRS 5.19/2.26 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 5.19/2.26 (8) IntTRS 5.19/2.26 (9) PolynomialOrderProcessor [EQUIVALENT, 12 ms] 5.19/2.26 (10) YES 5.19/2.26 5.19/2.26 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (0) 5.19/2.26 Obligation: 5.19/2.26 c file /export/starexec/sandbox/benchmark/theBenchmark.c 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (1) CToIRSProof (EQUIVALENT) 5.19/2.26 Parsed C Integer Program as IRS. 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (2) 5.19/2.26 Obligation: 5.19/2.26 Rules: 5.19/2.26 f1(i, j, k, ell) -> f2(x_1, j, k, ell) :|: TRUE 5.19/2.26 f2(x, x1, x2, x3) -> f3(x, x4, x2, x3) :|: TRUE 5.19/2.26 f3(x5, x6, x7, x8) -> f4(x5, x6, x9, x8) :|: TRUE 5.19/2.26 f5(x10, x11, x12, x13) -> f6(x10, x11, x12, x10) :|: TRUE 5.19/2.26 f6(x14, x15, x16, x17) -> f7(x15, x15, x16, x17) :|: TRUE 5.19/2.26 f7(x18, x19, x20, x21) -> f8(x18, arith, x20, x21) :|: TRUE && arith = x21 + 1 5.19/2.26 f8(x38, x39, x40, x41) -> f9(x38, x39, x42, x41) :|: TRUE && x42 = x40 - 1 5.19/2.26 f4(x26, x27, x28, x29) -> f5(x26, x27, x28, x29) :|: x26 <= 100 && x27 <= x28 5.19/2.26 f9(x30, x31, x32, x33) -> f4(x30, x31, x32, x33) :|: TRUE 5.19/2.26 f4(x34, x35, x36, x37) -> f10(x34, x35, x36, x37) :|: x34 > 100 5.19/2.26 f4(x43, x44, x45, x46) -> f10(x43, x44, x45, x46) :|: x44 > x45 5.19/2.26 Start term: f1(i, j, k, ell) 5.19/2.26 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (3) TerminationGraphProcessor (SOUND) 5.19/2.26 Constructed the termination graph and obtained one non-trivial SCC. 5.19/2.26 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (4) 5.19/2.26 Obligation: 5.19/2.26 Rules: 5.19/2.26 f4(x26, x27, x28, x29) -> f5(x26, x27, x28, x29) :|: x26 <= 100 && x27 <= x28 5.19/2.26 f9(x30, x31, x32, x33) -> f4(x30, x31, x32, x33) :|: TRUE 5.19/2.26 f8(x38, x39, x40, x41) -> f9(x38, x39, x42, x41) :|: TRUE && x42 = x40 - 1 5.19/2.26 f7(x18, x19, x20, x21) -> f8(x18, arith, x20, x21) :|: TRUE && arith = x21 + 1 5.19/2.26 f6(x14, x15, x16, x17) -> f7(x15, x15, x16, x17) :|: TRUE 5.19/2.26 f5(x10, x11, x12, x13) -> f6(x10, x11, x12, x10) :|: TRUE 5.19/2.26 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (5) IntTRSCompressionProof (EQUIVALENT) 5.19/2.26 Compressed rules. 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (6) 5.19/2.26 Obligation: 5.19/2.26 Rules: 5.19/2.26 f6(x14:0, x15:0, x16:0, x17:0) -> f6(x15:0, x17:0 + 1, x16:0 - 1, x15:0) :|: x15:0 < 101 && x17:0 + 1 <= x16:0 - 1 5.19/2.26 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 5.19/2.26 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 5.19/2.26 5.19/2.26 f6(x1, x2, x3, x4) -> f6(x2, x3, x4) 5.19/2.26 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (8) 5.19/2.26 Obligation: 5.19/2.26 Rules: 5.19/2.26 f6(x15:0, x16:0, x17:0) -> f6(x17:0 + 1, x16:0 - 1, x15:0) :|: x15:0 < 101 && x17:0 + 1 <= x16:0 - 1 5.19/2.26 5.19/2.26 ---------------------------------------- 5.19/2.26 5.19/2.26 (9) PolynomialOrderProcessor (EQUIVALENT) 5.19/2.26 Found the following polynomial interpretation: 5.19/2.26 [f6(x, x1, x2)] = 98 - x + x1 - x2 5.19/2.26 5.19/2.26 The following rules are decreasing: 5.19/2.26 f6(x15:0, x16:0, x17:0) -> f6(x17:0 + 1, x16:0 - 1, x15:0) :|: x15:0 < 101 && x17:0 + 1 <= x16:0 - 1 5.19/2.26 The following rules are bounded: 5.19/2.26 f6(x15:0, x16:0, x17:0) -> f6(x17:0 + 1, x16:0 - 1, x15:0) :|: x15:0 < 101 && x17:0 + 1 <= x16:0 - 1 5.19/2.26
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return to C_Integer 2019-03-28 22.15