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C Integ Progr 58257 pair #381736576
details
property
value
status
complete
benchmark
ChawdharyCookGulwaniSagivYang-ESOP2008-random1d_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)
2.7818608284 seconds
cpu usage
7.253843668
max memory
5.69294848E8
stage attributes
key
value
output-size
4420
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 0 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 72 ms] (4) IntTRS (5) IntTRSCompressionProof [EQUIVALENT, 21 ms] (6) IntTRS (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (8) IntTRS (9) PolynomialOrderProcessor [EQUIVALENT, 1 ms] (10) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox2/benchmark/theBenchmark.c ---------------------------------------- (1) CToIRSProof (EQUIVALENT) Parsed C Integer Program as IRS. ---------------------------------------- (2) Obligation: Rules: f1(a, x, max) -> f2(x_1, x, max) :|: TRUE f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE f5(x9, x10, x11) -> f8(0, x10, x11) :|: TRUE f8(x12, x13, x14) -> f9(x12, 1, x14) :|: TRUE f11(x15, x16, x17) -> f14(arith, x16, x17) :|: TRUE && arith = x15 + 1 f12(x59, x60, x61) -> f15(x62, x60, x61) :|: TRUE && x62 = x59 - 1 f10(x21, x22, x23) -> f11(x21, x22, x23) :|: x24 < 0 f10(x63, x64, x65) -> f11(x63, x64, x65) :|: x66 > 0 f10(x25, x26, x27) -> f12(x25, x26, x27) :|: x28 = 0 f14(x29, x30, x31) -> f13(x29, x30, x31) :|: TRUE f15(x32, x33, x34) -> f13(x32, x33, x34) :|: TRUE f13(x67, x68, x69) -> f16(x67, x70, x69) :|: TRUE && x70 = x68 + 1 f9(x38, x39, x40) -> f10(x38, x39, x40) :|: x39 <= x40 f16(x41, x42, x43) -> f9(x41, x42, x43) :|: TRUE f9(x44, x45, x46) -> f17(x44, x45, x46) :|: x45 > x46 f4(x47, x48, x49) -> f5(x47, x48, x49) :|: x49 > 0 f4(x50, x51, x52) -> f6(x50, x51, x52) :|: x52 <= 0 f17(x53, x54, x55) -> f7(x53, x54, x55) :|: TRUE f6(x56, x57, x58) -> f7(x56, x57, x58) :|: TRUE Start term: f1(a, x, max) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained one non-trivial SCC. ---------------------------------------- (4) Obligation: Rules: f9(x38, x39, x40) -> f10(x38, x39, x40) :|: x39 <= x40 f16(x41, x42, x43) -> f9(x41, x42, x43) :|: TRUE f13(x67, x68, x69) -> f16(x67, x70, x69) :|: TRUE && x70 = x68 + 1 f14(x29, x30, x31) -> f13(x29, x30, x31) :|: TRUE f11(x15, x16, x17) -> f14(arith, x16, x17) :|: TRUE && arith = x15 + 1 f10(x21, x22, x23) -> f11(x21, x22, x23) :|: x24 < 0 f10(x63, x64, x65) -> f11(x63, x64, x65) :|: x66 > 0 f15(x32, x33, x34) -> f13(x32, x33, x34) :|: TRUE f12(x59, x60, x61) -> f15(x62, x60, x61) :|: TRUE && x62 = x59 - 1 f10(x25, x26, x27) -> f12(x25, x26, x27) :|: x28 = 0 ---------------------------------------- (5) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (6) Obligation: Rules: f13(x67:0, x68:0, x69:0) -> f13(x67:0 - 1, x68:0 + 1, x69:0) :|: x69:0 >= x68:0 + 1 f13(x, x1, x2) -> f13(x + 1, x1 + 1, x2) :|: x2 >= x1 + 1 && x3 > 0 f13(x4, x5, x6) -> f13(x4 + 1, x5 + 1, x6) :|: x6 >= x5 + 1 && x7 < 0 ---------------------------------------- (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:
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