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C_Integer pair #487095753
details
property
value
status
complete
benchmark
MinusUserDefined.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.95341 seconds
cpu usage
8.79468
user time
8.31027
system time
0.484409
max virtual memory
3.9231496E7
max residence set size
722576.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 68 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 105 ms] (4) AND (5) IntTRS (6) IntTRSCompressionProof [EQUIVALENT, 0 ms] (7) IntTRS (8) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (9) IntTRS (10) PolynomialOrderProcessor [EQUIVALENT, 3 ms] (11) YES (12) IntTRS (13) IntTRSCompressionProof [EQUIVALENT, 0 ms] (14) IntTRS (15) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (16) IntTRS (17) RankingReductionPairProof [EQUIVALENT, 0 ms] (18) IntTRS (19) RankingReductionPairProof [EQUIVALENT, 0 ms] (20) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox/benchmark/theBenchmark.c ---------------------------------------- (1) CToIRSProof (EQUIVALENT) Parsed C Integer Program as IRS. ---------------------------------------- (2) Obligation: Rules: f1(x, y, res) -> f2(x_1, y, res) :|: TRUE f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE f3(x5, x6, x7) -> f4(x5, x6, 0) :|: TRUE f5(x8, x9, x10) -> f6(arith, x9, x10) :|: TRUE && arith = x8 - 1 f6(x53, x54, x55) -> f7(x53, x56, x55) :|: TRUE && x56 = x54 - 1 f4(x14, x15, x16) -> f5(x14, x15, x16) :|: x14 > 0 && x15 > 0 f7(x17, x18, x19) -> f4(x17, x18, x19) :|: TRUE f4(x20, x21, x22) -> f8(x20, x21, x22) :|: x20 <= 0 f4(x57, x58, x59) -> f8(x57, x58, x59) :|: x58 <= 0 f9(x60, x61, x62) -> f10(x60, x63, x62) :|: TRUE && x63 = x61 + 1 f10(x64, x65, x66) -> f11(x64, x65, x67) :|: TRUE && x67 = x66 + 1 f12(x68, x69, x70) -> f13(x71, x69, x70) :|: TRUE && x71 = x68 - 1 f13(x72, x73, x74) -> f14(x72, x75, x74) :|: TRUE && x75 = x73 - 1 f11(x35, x36, x37) -> f12(x35, x36, x37) :|: x35 > 0 && x36 > 0 f14(x38, x39, x40) -> f11(x38, x39, x40) :|: TRUE f11(x41, x42, x43) -> f15(x41, x42, x43) :|: x41 <= 0 f11(x76, x77, x78) -> f15(x76, x77, x78) :|: x77 <= 0 f8(x44, x45, x46) -> f9(x44, x45, x46) :|: x44 > 0 f15(x47, x48, x49) -> f8(x47, x48, x49) :|: TRUE f8(x50, x51, x52) -> f16(x50, x51, x52) :|: x50 <= 0 Start term: f1(x, y, res) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained 2 non-trivial SCCs. ---------------------------------------- (4) Complex Obligation (AND) ---------------------------------------- (5) Obligation: Rules: f4(x14, x15, x16) -> f5(x14, x15, x16) :|: x14 > 0 && x15 > 0 f7(x17, x18, x19) -> f4(x17, x18, x19) :|: TRUE f6(x53, x54, x55) -> f7(x53, x56, x55) :|: TRUE && x56 = x54 - 1 f5(x8, x9, x10) -> f6(arith, x9, x10) :|: TRUE && arith = x8 - 1 ---------------------------------------- (6) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (7) Obligation: Rules: f6(x53:0, x54:0, x55:0) -> f6(x53:0 - 1, x54:0 - 1, x55:0) :|: x53:0 > 0 && x54:0 > 1 ---------------------------------------- (8) IntTRSUnneededArgumentFilterProof (EQUIVALENT)
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