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C_Integer 2019-03-28 22.15 pair #432272056
details
property
value
status
complete
benchmark
Avery-FLOPS2006-Table1_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n160.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.46389 seconds
cpu usage
6.62573
user time
6.24174
system time
0.383984
max virtual memory
3.719928E7
max residence set size
564596.0
stage attributes
key
value
starexec-result
YES
output
5.77/2.41 YES 6.52/2.42 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 6.52/2.42 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.52/2.42 6.52/2.42 6.52/2.42 Termination of the given C Problem could be proven: 6.52/2.42 6.52/2.42 (0) C Problem 6.52/2.42 (1) CToIRSProof [EQUIVALENT, 0 ms] 6.52/2.42 (2) IntTRS 6.52/2.42 (3) TerminationGraphProcessor [SOUND, 85 ms] 6.52/2.42 (4) AND 6.52/2.42 (5) IntTRS 6.52/2.42 (6) IntTRSCompressionProof [EQUIVALENT, 0 ms] 6.52/2.42 (7) IntTRS 6.52/2.42 (8) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 6.52/2.42 (9) IntTRS 6.52/2.42 (10) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 6.52/2.42 (11) YES 6.52/2.42 (12) IntTRS 6.52/2.42 (13) IntTRSCompressionProof [EQUIVALENT, 0 ms] 6.52/2.42 (14) IntTRS 6.52/2.42 (15) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] 6.52/2.42 (16) IntTRS 6.52/2.42 (17) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 6.52/2.42 (18) YES 6.52/2.42 6.52/2.42 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (0) 6.52/2.42 Obligation: 6.52/2.42 c file /export/starexec/sandbox/benchmark/theBenchmark.c 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (1) CToIRSProof (EQUIVALENT) 6.52/2.42 Parsed C Integer Program as IRS. 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (2) 6.52/2.42 Obligation: 6.52/2.42 Rules: 6.52/2.42 f1(x, y, z, i) -> f2(x_1, y, z, i) :|: TRUE 6.52/2.42 f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE 6.52/2.42 f3(x6, x7, x8, x9) -> f4(x6, x7, 0, x9) :|: TRUE 6.52/2.42 f4(x10, x11, x12, x13) -> f5(x10, x11, x12, x10) :|: TRUE 6.52/2.42 f9(x14, x15, x16, x17) -> f10(x14, x15, x16, arith) :|: TRUE && arith = x17 - 1 6.52/2.42 f10(x70, x71, x72, x73) -> f11(x70, x71, x74, x73) :|: TRUE && x74 = x72 + 1 6.52/2.42 f6(x22, x23, x24, x25) -> f9(x22, x23, x24, x25) :|: x25 > 0 6.52/2.42 f11(x26, x27, x28, x29) -> f6(x26, x27, x28, x29) :|: TRUE 6.52/2.42 f6(x30, x31, x32, x33) -> f12(x30, x31, x32, x33) :|: x33 <= 0 6.52/2.42 f13(x75, x76, x77, x78) -> f14(x75, x76, x77, x79) :|: TRUE && x79 = x78 + 1 6.52/2.42 f14(x80, x81, x82, x83) -> f15(x80, x81, x84, x83) :|: TRUE && x84 = x82 - 1 6.52/2.42 f12(x42, x43, x44, x45) -> f13(x42, x43, x44, x45) :|: x45 < x43 6.52/2.42 f15(x46, x47, x48, x49) -> f12(x46, x47, x48, x49) :|: TRUE 6.52/2.42 f12(x50, x51, x52, x53) -> f16(x50, x51, x52, x53) :|: x53 >= x51 6.52/2.42 f5(x54, x55, x56, x57) -> f6(x54, x55, x56, x57) :|: x55 > 0 && x54 > 0 6.52/2.42 f5(x58, x59, x60, x61) -> f7(x58, x59, x60, x61) :|: x59 <= 0 6.52/2.42 f5(x85, x86, x87, x88) -> f7(x85, x86, x87, x88) :|: x85 <= 0 6.52/2.42 f16(x62, x63, x64, x65) -> f8(x62, x63, x64, x65) :|: TRUE 6.52/2.42 f7(x66, x67, x68, x69) -> f8(x66, x67, x68, x69) :|: TRUE 6.52/2.42 Start term: f1(x, y, z, i) 6.52/2.42 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (3) TerminationGraphProcessor (SOUND) 6.52/2.42 Constructed the termination graph and obtained 2 non-trivial SCCs. 6.52/2.42 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (4) 6.52/2.42 Complex Obligation (AND) 6.52/2.42 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (5) 6.52/2.42 Obligation: 6.52/2.42 Rules: 6.52/2.42 f6(x22, x23, x24, x25) -> f9(x22, x23, x24, x25) :|: x25 > 0 6.52/2.42 f11(x26, x27, x28, x29) -> f6(x26, x27, x28, x29) :|: TRUE 6.52/2.42 f10(x70, x71, x72, x73) -> f11(x70, x71, x74, x73) :|: TRUE && x74 = x72 + 1 6.52/2.42 f9(x14, x15, x16, x17) -> f10(x14, x15, x16, arith) :|: TRUE && arith = x17 - 1 6.52/2.42 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (6) IntTRSCompressionProof (EQUIVALENT) 6.52/2.42 Compressed rules. 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (7) 6.52/2.42 Obligation: 6.52/2.42 Rules: 6.52/2.42 f10(x70:0, x71:0, x72:0, x73:0) -> f10(x70:0, x71:0, x72:0 + 1, x73:0 - 1) :|: x73:0 > 0 6.52/2.42 6.52/2.42 ---------------------------------------- 6.52/2.42 6.52/2.42 (8) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 6.52/2.42 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 6.52/2.42 6.52/2.42 f10(x1, x2, x3, x4) -> f10(x4)
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return to C_Integer 2019-03-28 22.15