C_Integer 2019-03-28 22.15 pair #432272149

details

property	value
status	complete
benchmark	Ben-Amram-LMCS2010-Ex2.3_true-termination.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n168.star.cs.uiowa.edu
space	Stroeder_15

run statistics

property	value
solver	AProVE
configuration	c
runtime (wallclock)	5.06836 seconds
cpu usage	16.2787
user time	15.435
system time	0.843679
max virtual memory	3.7607844E7
max residence set size	1808820.0

stage attributes

key	value
starexec-result	YES

output

16.15/5.00	YES
16.22/5.02	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
16.22/5.02	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.22/5.02	
16.22/5.02	
16.22/5.02	Termination of the given C Problem could be proven:
16.22/5.02	
16.22/5.02	(0) C Problem
16.22/5.02	(1) CToIRSProof [EQUIVALENT, 0 ms]
16.22/5.02	(2) IntTRS
16.22/5.02	(3) TerminationGraphProcessor [SOUND, 79 ms]
16.22/5.02	(4) IntTRS
16.22/5.02	(5) IntTRSCompressionProof [EQUIVALENT, 21 ms]
16.22/5.02	(6) IntTRS
16.22/5.02	(7) TerminationGraphProcessor [EQUIVALENT, 29 ms]
16.22/5.02	(8) AND
16.22/5.02	    (9) IntTRS
16.22/5.02	        (10) IntTRSCompressionProof [EQUIVALENT, 0 ms]
16.22/5.02	        (11) IntTRS
16.22/5.02	        (12) RankingReductionPairProof [EQUIVALENT, 0 ms]
16.22/5.02	        (13) YES
16.22/5.02	    (14) IntTRS
16.22/5.02	        (15) IntTRSCompressionProof [EQUIVALENT, 0 ms]
16.22/5.02	        (16) IntTRS
16.22/5.02	        (17) PolynomialOrderProcessor [EQUIVALENT, 7 ms]
16.22/5.02	        (18) YES
16.22/5.02	
16.22/5.02	
16.22/5.02	----------------------------------------
16.22/5.02	
16.22/5.02	(0)
16.22/5.02	Obligation:
16.22/5.02	c file /export/starexec/sandbox/benchmark/theBenchmark.c
16.22/5.02	----------------------------------------
16.22/5.02	
16.22/5.02	(1) CToIRSProof (EQUIVALENT)
16.22/5.02	Parsed C Integer Program as IRS.
16.22/5.02	----------------------------------------
16.22/5.02	
16.22/5.02	(2)
16.22/5.02	Obligation:
16.22/5.02	Rules:
16.22/5.02	f1(x, y, z) -> f2(x_1, y, z) :|: TRUE
16.22/5.02	f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE
16.22/5.02	f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE
16.22/5.02	f6(x9, x10, x11) -> f9(x9, x11, x11) :|: TRUE
16.22/5.02	f9(x12, x13, x14) -> f10(x15, x13, x14) :|: TRUE
16.22/5.02	f10(x16, x17, x18) -> f11(x16, x17, arith) :|: TRUE && arith = x16 - 1
16.22/5.02	f7(x50, x51, x52) -> f12(x50, x51, x53) :|: TRUE && x53 = x52 - 1
16.22/5.02	f12(x22, x23, x24) -> f13(x25, x23, x24) :|: TRUE
16.22/5.02	f13(x54, x55, x56) -> f14(x54, x57, x56) :|: TRUE && x57 = x54 - 1
16.22/5.02	f5(x29, x30, x31) -> f6(x29, x30, x31) :|: x30 > x29
16.22/5.02	f5(x32, x33, x34) -> f7(x32, x33, x34) :|: x33 <= x32
16.22/5.02	f11(x35, x36, x37) -> f8(x35, x36, x37) :|: TRUE
16.22/5.02	f14(x38, x39, x40) -> f8(x38, x39, x40) :|: TRUE
16.22/5.02	f4(x41, x42, x43) -> f5(x41, x42, x43) :|: x41 > 0 && x42 > 0 && x43 > 0
16.22/5.02	f8(x44, x45, x46) -> f4(x44, x45, x46) :|: TRUE
16.22/5.02	f4(x47, x48, x49) -> f15(x47, x48, x49) :|: x49 <= 0
16.22/5.02	f4(x58, x59, x60) -> f15(x58, x59, x60) :|: x58 <= 0
16.22/5.02	f4(x61, x62, x63) -> f15(x61, x62, x63) :|: x62 <= 0
16.22/5.02	Start term: f1(x, y, z)
16.22/5.02	
16.22/5.02	----------------------------------------
16.22/5.02	
16.22/5.02	(3) TerminationGraphProcessor (SOUND)
16.22/5.02	Constructed the termination graph and obtained one non-trivial SCC.
16.22/5.02	
16.22/5.02	----------------------------------------
16.22/5.02	
16.22/5.02	(4)
16.22/5.02	Obligation:
16.22/5.02	Rules:
16.22/5.02	f4(x41, x42, x43) -> f5(x41, x42, x43) :|: x41 > 0 && x42 > 0 && x43 > 0
16.22/5.02	f8(x44, x45, x46) -> f4(x44, x45, x46) :|: TRUE
16.22/5.02	f11(x35, x36, x37) -> f8(x35, x36, x37) :|: TRUE
16.22/5.02	f10(x16, x17, x18) -> f11(x16, x17, arith) :|: TRUE && arith = x16 - 1
16.22/5.02	f9(x12, x13, x14) -> f10(x15, x13, x14) :|: TRUE
16.22/5.02	f6(x9, x10, x11) -> f9(x9, x11, x11) :|: TRUE
16.22/5.02	f5(x29, x30, x31) -> f6(x29, x30, x31) :|: x30 > x29
16.22/5.02	f14(x38, x39, x40) -> f8(x38, x39, x40) :|: TRUE
16.22/5.02	f13(x54, x55, x56) -> f14(x54, x57, x56) :|: TRUE && x57 = x54 - 1
16.22/5.02	f12(x22, x23, x24) -> f13(x25, x23, x24) :|: TRUE
16.22/5.02	f7(x50, x51, x52) -> f12(x50, x51, x53) :|: TRUE && x53 = x52 - 1
16.22/5.02	f5(x32, x33, x34) -> f7(x32, x33, x34) :|: x33 <= x32
16.22/5.02	
16.22/5.02	----------------------------------------
16.22/5.02	
16.22/5.02	(5) IntTRSCompressionProof (EQUIVALENT)
16.22/5.02	Compressed rules.
16.22/5.02	----------------------------------------
16.22/5.02	
16.22/5.02	(6)
16.22/5.02	Obligation:
16.22/5.02	Rules:
16.22/5.02	f8(x44:0, x45:0, x46:0) -> f8(x25:0, x25:0 - 1, x46:0 - 1) :|: x46:0 > 0 && x45:0 <= x44:0 && x45:0 > 0 && x44:0 > 0
16.22/5.02	f8(x, x1, x2) -> f8(x3, x2, x3 - 1) :|: x2 > 0 && x1 > x && x1 > 0 && x > 0
16.22/5.02	
16.22/5.02	----------------------------------------
16.22/5.02	
16.22/5.02	(7) TerminationGraphProcessor (EQUIVALENT)

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