4.88/2.10	YES
4.88/2.12	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
4.88/2.12	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
4.88/2.12	
4.88/2.12	
4.88/2.12	Termination of the given C Problem could be proven:
4.88/2.12	
4.88/2.12	(0) C Problem
4.88/2.12	(1) CToIRSProof [EQUIVALENT, 0 ms]
4.88/2.12	(2) IntTRS
4.88/2.12	(3) TerminationGraphProcessor [SOUND, 39 ms]
4.88/2.12	(4) IntTRS
4.88/2.12	(5) IntTRSCompressionProof [EQUIVALENT, 0 ms]
4.88/2.12	(6) IntTRS
4.88/2.12	(7) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
4.88/2.12	(8) IntTRS
4.88/2.12	(9) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
4.88/2.12	(10) YES
4.88/2.12	
4.88/2.12	
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(0)
4.88/2.12	Obligation:
4.88/2.12	c file /export/starexec/sandbox/benchmark/theBenchmark.c
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(1) CToIRSProof (EQUIVALENT)
4.88/2.12	Parsed C Integer Program as IRS.
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(2)
4.88/2.12	Obligation:
4.88/2.12	Rules:
4.88/2.12	f1(i, j) -> f2(0, j) :|: TRUE
4.88/2.12	f2(x, x1) -> f3(x, 3) :|: TRUE
4.88/2.12	f5(x2, x3) -> f6(x2, arith) :|: TRUE && arith = x3 - 1
4.88/2.12	f6(x20, x21) -> f7(x20, x22) :|: TRUE && x22 = x21 + 2
4.88/2.12	f4(x6, x7) -> f5(x6, x7) :|: x7 < 12
4.88/2.12	f7(x8, x9) -> f4(x8, x9) :|: TRUE
4.88/2.12	f4(x10, x11) -> f8(x10, x11) :|: x11 >= 12
4.88/2.12	f8(x23, x24) -> f9(x25, x24) :|: TRUE && x25 = x23 + 1
4.88/2.12	f3(x14, x15) -> f4(x14, x15) :|: x14 < 10
4.88/2.12	f9(x16, x17) -> f3(x16, x17) :|: TRUE
4.88/2.12	f3(x18, x19) -> f10(x18, x19) :|: x18 >= 10
4.88/2.12	Start term: f1(i, j)
4.88/2.12	
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(3) TerminationGraphProcessor (SOUND)
4.88/2.12	Constructed the termination graph and obtained one non-trivial SCC.
4.88/2.12	
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(4)
4.88/2.12	Obligation:
4.88/2.12	Rules:
4.88/2.12	f3(x14, x15) -> f4(x14, x15) :|: x14 < 10
4.88/2.12	f9(x16, x17) -> f3(x16, x17) :|: TRUE
4.88/2.12	f8(x23, x24) -> f9(x25, x24) :|: TRUE && x25 = x23 + 1
4.88/2.12	f4(x10, x11) -> f8(x10, x11) :|: x11 >= 12
4.88/2.12	f7(x8, x9) -> f4(x8, x9) :|: TRUE
4.88/2.12	f6(x20, x21) -> f7(x20, x22) :|: TRUE && x22 = x21 + 2
4.88/2.12	f5(x2, x3) -> f6(x2, arith) :|: TRUE && arith = x3 - 1
4.88/2.12	f4(x6, x7) -> f5(x6, x7) :|: x7 < 12
4.88/2.12	
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(5) IntTRSCompressionProof (EQUIVALENT)
4.88/2.12	Compressed rules.
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(6)
4.88/2.12	Obligation:
4.88/2.12	Rules:
4.88/2.12	f4(x10:0, x11:0) -> f4(x10:0 + 1, x11:0) :|: x11:0 > 11 && x10:0 < 9
4.88/2.12	f4(x6:0, x7:0) -> f4(x6:0, x7:0 + 1) :|: x7:0 < 12
4.88/2.12	
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(7) PolynomialOrderProcessor (EQUIVALENT)
4.88/2.12	Found the following polynomial interpretation:
4.88/2.12	[f4(x, x1)] = 144 - 24*x1 + x1^2
4.88/2.12	
4.88/2.12	The following rules are decreasing:
4.88/2.12	f4(x6:0, x7:0) -> f4(x6:0, x7:0 + 1) :|: x7:0 < 12
4.88/2.12	The following rules are bounded:
4.88/2.12	f4(x10:0, x11:0) -> f4(x10:0 + 1, x11:0) :|: x11:0 > 11 && x10:0 < 9
4.88/2.12	f4(x6:0, x7:0) -> f4(x6:0, x7:0 + 1) :|: x7:0 < 12
4.88/2.12	
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(8)
4.88/2.12	Obligation:
4.88/2.12	Rules:
4.88/2.12	f4(x10:0, x11:0) -> f4(x10:0 + 1, x11:0) :|: x11:0 > 11 && x10:0 < 9
4.88/2.12	
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(9) PolynomialOrderProcessor (EQUIVALENT)
4.88/2.12	Found the following polynomial interpretation:
4.88/2.12	[f4(x, x1)] = 8 - x
4.88/2.12	
4.88/2.12	The following rules are decreasing:
4.88/2.12	f4(x10:0, x11:0) -> f4(x10:0 + 1, x11:0) :|: x11:0 > 11 && x10:0 < 9
4.88/2.12	The following rules are bounded:
4.88/2.12	f4(x10:0, x11:0) -> f4(x10:0 + 1, x11:0) :|: x11:0 > 11 && x10:0 < 9
4.88/2.12	
4.88/2.12	----------------------------------------
4.88/2.12	
4.88/2.12	(10)
4.88/2.12	YES
5.09/2.21	EOF