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C Integer pair #487569422
details
property
value
status
complete
benchmark
AliasDarteFeautrierGonnord-SAS2010-Fig1_true-termination.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)
3.27576398849 seconds
cpu usage
9.663811533
max memory
9.18102016E8
stage attributes
key
value
output-size
7673
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToIRSProof [EQUIVALENT, 0 ms] (2) IntTRS (3) TerminationGraphProcessor [SOUND, 100 ms] (4) IntTRS (5) IntTRSCompressionProof [EQUIVALENT, 0 ms] (6) IntTRS (7) PolynomialOrderProcessor [EQUIVALENT, 20 ms] (8) IntTRS (9) TerminationGraphProcessor [EQUIVALENT, 20 ms] (10) AND (11) IntTRS (12) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (13) IntTRS (14) PolynomialOrderProcessor [EQUIVALENT, 0 ms] (15) YES (16) IntTRS (17) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (18) IntTRS (19) PolynomialOrderProcessor [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, m) -> f2(x, 0, m) :|: TRUE f2(x1, x2, x3) -> f3(x1, x2, x4) :|: TRUE f3(x5, x6, x7) -> f4(x7, x6, x7) :|: TRUE f9(x8, x9, x10) -> f10(x8, arith, x10) :|: TRUE && arith = x9 + 1 f6(x11, x12, x13) -> f9(x11, x12, x13) :|: x12 <= x13 && x14 < 0 f6(x51, x52, x53) -> f9(x51, x52, x53) :|: x52 <= x53 && x54 > 0 f10(x15, x16, x17) -> f6(x15, x16, x17) :|: TRUE f6(x18, x19, x20) -> f11(x18, x19, x20) :|: x19 > x20 f6(x55, x56, x57) -> f11(x55, x56, x57) :|: x58 = 0 f11(x59, x60, x61) -> f12(x62, x60, x61) :|: TRUE && x62 = x59 - 1 f5(x25, x26, x27) -> f6(x25, x26, x27) :|: x28 < 0 f5(x63, x64, x65) -> f6(x63, x64, x65) :|: x66 > 0 f5(x29, x30, x31) -> f7(x29, x30, x31) :|: x32 = 0 f12(x33, x34, x35) -> f8(x33, x34, x35) :|: TRUE f7(x36, x37, x38) -> f8(x36, x37, x38) :|: TRUE f8(x67, x68, x69) -> f13(x67, x70, x69) :|: TRUE && x70 = x68 - 1 f4(x42, x43, x44) -> f5(x42, x43, x44) :|: x42 >= 0 && x43 >= 0 f13(x45, x46, x47) -> f4(x45, x46, x47) :|: TRUE f4(x48, x49, x50) -> f14(x48, x49, x50) :|: x48 < 0 f4(x71, x72, x73) -> f14(x71, x72, x73) :|: x72 < 0 Start term: f1(x, y, m) ---------------------------------------- (3) TerminationGraphProcessor (SOUND) Constructed the termination graph and obtained one non-trivial SCC. ---------------------------------------- (4) Obligation: Rules: f4(x42, x43, x44) -> f5(x42, x43, x44) :|: x42 >= 0 && x43 >= 0 f13(x45, x46, x47) -> f4(x45, x46, x47) :|: TRUE f8(x67, x68, x69) -> f13(x67, x70, x69) :|: TRUE && x70 = x68 - 1 f12(x33, x34, x35) -> f8(x33, x34, x35) :|: TRUE f11(x59, x60, x61) -> f12(x62, x60, x61) :|: TRUE && x62 = x59 - 1 f6(x18, x19, x20) -> f11(x18, x19, x20) :|: x19 > x20 f5(x25, x26, x27) -> f6(x25, x26, x27) :|: x28 < 0 f10(x15, x16, x17) -> f6(x15, x16, x17) :|: TRUE f9(x8, x9, x10) -> f10(x8, arith, x10) :|: TRUE && arith = x9 + 1 f6(x11, x12, x13) -> f9(x11, x12, x13) :|: x12 <= x13 && x14 < 0 f5(x63, x64, x65) -> f6(x63, x64, x65) :|: x66 > 0 f6(x51, x52, x53) -> f9(x51, x52, x53) :|: x52 <= x53 && x54 > 0 f6(x55, x56, x57) -> f11(x55, x56, x57) :|: x58 = 0 f7(x36, x37, x38) -> f8(x36, x37, x38) :|: TRUE f5(x29, x30, x31) -> f7(x29, x30, x31) :|: x32 = 0 ----------------------------------------
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