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C Integ Progr 58257 pair #381736825
details
property
value
status
complete
benchmark
GulavaniGulwani-CAV2008-Fig1b_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n088.star.cs.uiowa.edu
space
Stroeder_15
run statistics
property
value
solver
AProVE
configuration
c
runtime (wallclock)
2.5296728611 seconds
cpu usage
6.769742732
max memory
3.62795008E8
stage attributes
key
value
output-size
5235
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.c # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 0 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 73 ms] (4) AND (5) IntTRS (6) IntTRSCompressionProof [EQUIVALENT, 0 ms] (7) IntTRS (8) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (9) IntTRS (10) RankingReductionPairProof [EQUIVALENT, 4 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) 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, i, n, m) -> f2(x_1, i, n, m) :|: TRUE f2(x1, x2, x3, x4) -> f3(x1, x5, x3, x4) :|: TRUE f3(x6, x7, x8, x9) -> f4(x6, x7, x10, x9) :|: TRUE f4(x11, x12, x13, x14) -> f5(x11, x12, x13, x15) :|: TRUE f6(x16, x17, x18, x19) -> f7(x16, arith, x18, x19) :|: TRUE && arith = x17 + 1 f7(x56, x57, x58, x59) -> f8(x60, x57, x58, x59) :|: TRUE && x60 = x56 + 1 f5(x24, x25, x26, x27) -> f6(x24, x25, x26, x27) :|: x24 < x26 f8(x28, x29, x30, x31) -> f5(x28, x29, x30, x31) :|: TRUE f5(x32, x33, x34, x35) -> f9(x32, x33, x34, x35) :|: x32 >= x34 f10(x61, x62, x63, x64) -> f11(x61, x65, x63, x64) :|: TRUE && x65 = x62 + 1 f11(x66, x67, x68, x69) -> f12(x70, x67, x68, x69) :|: TRUE && x70 = x66 + 1 f9(x44, x45, x46, x47) -> f10(x44, x45, x46, x47) :|: x44 < x47 f12(x48, x49, x50, x51) -> f9(x48, x49, x50, x51) :|: TRUE f9(x52, x53, x54, x55) -> f13(x52, x53, x54, x55) :|: x52 >= x55 Start term: f1(x, i, n, m) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained 2 non-trivial SCCs. ---------------------------------------- (4) Complex Obligation (AND) ---------------------------------------- (5) Obligation: Rules: f5(x24, x25, x26, x27) -> f6(x24, x25, x26, x27) :|: x24 < x26 f8(x28, x29, x30, x31) -> f5(x28, x29, x30, x31) :|: TRUE f7(x56, x57, x58, x59) -> f8(x60, x57, x58, x59) :|: TRUE && x60 = x56 + 1 f6(x16, x17, x18, x19) -> f7(x16, arith, x18, x19) :|: TRUE && arith = x17 + 1 ---------------------------------------- (6) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (7) Obligation: Rules: f7(x56:0, x57:0, x58:0, x59:0) -> f7(x56:0 + 1, x57:0 + 1, x58:0, x59:0) :|: x58:0 > x56:0 + 1 ---------------------------------------- (8) IntTRSUnneededArgumentFilterProof (EQUIVALENT) Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:
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