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C_Integer 2019-03-28 22.15 pair #432271633
details
property
value
status
complete
benchmark
GulavaniGulwani-CAV2008-Fig1a_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n087.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.55618 seconds
cpu usage
6.99419
user time
6.59855
system time
0.395634
max virtual memory
1.9442684E7
max residence set size
571656.0
stage attributes
key
value
starexec-result
YES
output
6.70/2.50 YES 6.92/2.52 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 6.92/2.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.92/2.52 6.92/2.52 6.92/2.52 Termination of the given C Problem could be proven: 6.92/2.52 6.92/2.52 (0) C Problem 6.92/2.52 (1) CToIRSProof [EQUIVALENT, 0 ms] 6.92/2.52 (2) IntTRS 6.92/2.52 (3) TerminationGraphProcessor [SOUND, 80 ms] 6.92/2.52 (4) IntTRS 6.92/2.52 (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] 6.92/2.52 (6) IntTRS 6.92/2.52 (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 1 ms] 6.92/2.52 (8) IntTRS 6.92/2.52 (9) PolynomialOrderProcessor [EQUIVALENT, 1 ms] 6.92/2.52 (10) IntTRS 6.92/2.52 (11) PolynomialOrderProcessor [EQUIVALENT, 4 ms] 6.92/2.52 (12) YES 6.92/2.52 6.92/2.52 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (0) 6.92/2.52 Obligation: 6.92/2.52 c file /export/starexec/sandbox/benchmark/theBenchmark.c 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (1) CToIRSProof (EQUIVALENT) 6.92/2.52 Parsed C Integer Program as IRS. 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (2) 6.92/2.52 Obligation: 6.92/2.52 Rules: 6.92/2.52 f1(x, y, z, i) -> f2(x_1, y, z, i) :|: TRUE 6.92/2.52 f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE 6.92/2.52 f3(x6, x7, x8, x9) -> f4(x6, x7, x10, x9) :|: TRUE 6.92/2.52 f4(x11, x12, x13, x14) -> f5(x11, x12, x13, x15) :|: TRUE 6.92/2.52 f6(x16, x17, x18, x19) -> f7(x16, x17, x18, arith) :|: TRUE && arith = x19 + 1 6.92/2.52 f8(x56, x57, x58, x59) -> f11(x60, x57, x58, x59) :|: TRUE && x60 = x56 + 1 6.92/2.52 f9(x61, x62, x63, x64) -> f12(x61, x62, x65, x64) :|: TRUE && x65 = x63 + 1 6.92/2.52 f7(x28, x29, x30, x31) -> f8(x28, x29, x30, x31) :|: x30 > x28 6.92/2.52 f7(x32, x33, x34, x35) -> f9(x32, x33, x34, x35) :|: x34 <= x32 6.92/2.52 f11(x36, x37, x38, x39) -> f10(x36, x37, x38, x39) :|: TRUE 6.92/2.52 f12(x40, x41, x42, x43) -> f10(x40, x41, x42, x43) :|: TRUE 6.92/2.52 f5(x44, x45, x46, x47) -> f6(x44, x45, x46, x47) :|: x44 < x45 6.92/2.52 f10(x48, x49, x50, x51) -> f5(x48, x49, x50, x51) :|: TRUE 6.92/2.52 f5(x52, x53, x54, x55) -> f13(x52, x53, x54, x55) :|: x52 >= x53 6.92/2.52 Start term: f1(x, y, z, i) 6.92/2.52 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (3) TerminationGraphProcessor (SOUND) 6.92/2.52 Constructed the termination graph and obtained one non-trivial SCC. 6.92/2.52 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (4) 6.92/2.52 Obligation: 6.92/2.52 Rules: 6.92/2.52 f5(x44, x45, x46, x47) -> f6(x44, x45, x46, x47) :|: x44 < x45 6.92/2.52 f10(x48, x49, x50, x51) -> f5(x48, x49, x50, x51) :|: TRUE 6.92/2.52 f11(x36, x37, x38, x39) -> f10(x36, x37, x38, x39) :|: TRUE 6.92/2.52 f8(x56, x57, x58, x59) -> f11(x60, x57, x58, x59) :|: TRUE && x60 = x56 + 1 6.92/2.52 f7(x28, x29, x30, x31) -> f8(x28, x29, x30, x31) :|: x30 > x28 6.92/2.52 f6(x16, x17, x18, x19) -> f7(x16, x17, x18, arith) :|: TRUE && arith = x19 + 1 6.92/2.52 f12(x40, x41, x42, x43) -> f10(x40, x41, x42, x43) :|: TRUE 6.92/2.52 f9(x61, x62, x63, x64) -> f12(x61, x62, x65, x64) :|: TRUE && x65 = x63 + 1 6.92/2.52 f7(x32, x33, x34, x35) -> f9(x32, x33, x34, x35) :|: x34 <= x32 6.92/2.52 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (5) IntTRSCompressionProof (EQUIVALENT) 6.92/2.52 Compressed rules. 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (6) 6.92/2.52 Obligation: 6.92/2.52 Rules: 6.92/2.52 f7(x32:0, x33:0, x34:0, x35:0) -> f7(x32:0, x33:0, x34:0 + 1, x35:0 + 1) :|: x34:0 <= x32:0 && x33:0 > x32:0 6.92/2.52 f7(x28:0, x29:0, x30:0, x31:0) -> f7(x28:0 + 1, x29:0, x30:0, x31:0 + 1) :|: x30:0 > x28:0 && x29:0 > x28:0 + 1 6.92/2.52 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) 6.92/2.52 Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: 6.92/2.52 6.92/2.52 f7(x1, x2, x3, x4) -> f7(x1, x2, x3) 6.92/2.52 6.92/2.52 ---------------------------------------- 6.92/2.52 6.92/2.52 (8) 6.92/2.52 Obligation: 6.92/2.52 Rules: 6.92/2.52 f7(x32:0, x33:0, x34:0) -> f7(x32:0, x33:0, x34:0 + 1) :|: x34:0 <= x32:0 && x33:0 > x32:0 6.92/2.52 f7(x28:0, x29:0, x30:0) -> f7(x28:0 + 1, x29:0, x30:0) :|: x30:0 > x28:0 && x29:0 > x28:0 + 1 6.92/2.52 6.92/2.52 ----------------------------------------
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