5.36/2.28	YES
5.65/2.30	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
5.65/2.30	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.65/2.30	
5.65/2.30	
5.65/2.30	Termination of the given C Problem could be proven:
5.65/2.30	
5.65/2.30	(0) C Problem
5.65/2.30	(1) CToIRSProof [EQUIVALENT, 0 ms]
5.65/2.30	(2) IntTRS
5.65/2.30	(3) TerminationGraphProcessor [SOUND, 76 ms]
5.65/2.30	(4) IntTRS
5.65/2.30	(5) IntTRSCompressionProof [EQUIVALENT, 0 ms]
5.65/2.30	(6) IntTRS
5.65/2.30	(7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
5.65/2.30	(8) IntTRS
5.65/2.30	(9) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
5.65/2.30	(10) YES
5.65/2.30	
5.65/2.30	
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(0)
5.65/2.30	Obligation:
5.65/2.30	c file /export/starexec/sandbox/benchmark/theBenchmark.c
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(1) CToIRSProof (EQUIVALENT)
5.65/2.30	Parsed C Integer Program as IRS.
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(2)
5.65/2.30	Obligation:
5.65/2.30	Rules:
5.65/2.30	f1(i, x, y) -> f2(0, x, y) :|: TRUE
5.65/2.30	f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE
5.65/2.30	f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE
5.65/2.30	f8(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 + 1
5.65/2.30	f9(x36, x37, x38) -> f10(x36, x39, x38) :|: TRUE && x39 = x37 - 1 - (x38 - 1)
5.65/2.30	f5(x15, x16, x17) -> f8(x15, x16, x17) :|: x16 > 0 && x17 > 0
5.65/2.30	f10(x18, x19, x20) -> f5(x18, x19, x20) :|: TRUE
5.65/2.30	f5(x21, x22, x23) -> f11(x21, x22, x23) :|: x22 <= 0
5.65/2.30	f5(x40, x41, x42) -> f11(x40, x41, x42) :|: x42 <= 0
5.65/2.30	f4(x24, x25, x26) -> f5(x24, x25, x26) :|: x25 < 0
5.65/2.30	f4(x43, x44, x45) -> f5(x43, x44, x45) :|: x44 > 0
5.65/2.30	f4(x27, x28, x29) -> f6(x27, x28, x29) :|: x28 = 0
5.65/2.30	f11(x30, x31, x32) -> f7(x30, x31, x32) :|: TRUE
5.65/2.30	f6(x33, x34, x35) -> f7(x33, x34, x35) :|: TRUE
5.65/2.30	Start term: f1(i, x, y)
5.65/2.30	
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(3) TerminationGraphProcessor (SOUND)
5.65/2.30	Constructed the termination graph and obtained one non-trivial SCC.
5.65/2.30	
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(4)
5.65/2.30	Obligation:
5.65/2.30	Rules:
5.65/2.30	f5(x15, x16, x17) -> f8(x15, x16, x17) :|: x16 > 0 && x17 > 0
5.65/2.30	f10(x18, x19, x20) -> f5(x18, x19, x20) :|: TRUE
5.65/2.30	f9(x36, x37, x38) -> f10(x36, x39, x38) :|: TRUE && x39 = x37 - 1 - (x38 - 1)
5.65/2.30	f8(x9, x10, x11) -> f9(arith, x10, x11) :|: TRUE && arith = x9 + 1
5.65/2.30	
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(5) IntTRSCompressionProof (EQUIVALENT)
5.65/2.30	Compressed rules.
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(6)
5.65/2.30	Obligation:
5.65/2.30	Rules:
5.65/2.30	f9(x36:0, x37:0, x38:0) -> f9(x36:0 + 1, x37:0 - 1 - (x38:0 - 1), x38:0) :|: x37:0 - 1 - (x38:0 - 1) > 0 && x38:0 > 0
5.65/2.30	
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(7) IntTRSUnneededArgumentFilterProof (EQUIVALENT)
5.65/2.30	Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:
5.65/2.30	
5.65/2.30	   f9(x1, x2, x3) -> f9(x2, x3)
5.65/2.30	
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(8)
5.65/2.30	Obligation:
5.65/2.30	Rules:
5.65/2.30	f9(x37:0, x38:0) -> f9(x37:0 - 1 - (x38:0 - 1), x38:0) :|: x37:0 - 1 - (x38:0 - 1) > 0 && x38:0 > 0
5.65/2.30	
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(9) PolynomialOrderProcessor (EQUIVALENT)
5.65/2.30	Found the following polynomial interpretation:
5.65/2.30	[f9(x, x1)] = x
5.65/2.30	
5.65/2.30	The following rules are decreasing:
5.65/2.30	f9(x37:0, x38:0) -> f9(x37:0 - 1 - (x38:0 - 1), x38:0) :|: x37:0 - 1 - (x38:0 - 1) > 0 && x38:0 > 0
5.65/2.30	The following rules are bounded:
5.65/2.30	f9(x37:0, x38:0) -> f9(x37:0 - 1 - (x38:0 - 1), x38:0) :|: x37:0 - 1 - (x38:0 - 1) > 0 && x38:0 > 0
5.65/2.30	
5.65/2.30	----------------------------------------
5.65/2.30	
5.65/2.30	(10)
5.65/2.30	YES
5.97/2.32	EOF