5.72/2.26	YES
5.72/2.27	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
5.72/2.27	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.72/2.27	
5.72/2.27	
5.72/2.27	Termination of the given C Problem could be proven:
5.72/2.27	
5.72/2.27	(0) C Problem
5.72/2.27	(1) CToIRSProof [EQUIVALENT, 0 ms]
5.72/2.27	(2) IntTRS
5.72/2.27	(3) TerminationGraphProcessor [SOUND, 52 ms]
5.72/2.27	(4) IntTRS
5.72/2.27	(5) IntTRSCompressionProof [EQUIVALENT, 26 ms]
5.72/2.27	(6) IntTRS
5.72/2.27	(7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
5.72/2.27	(8) IntTRS
5.72/2.27	(9) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
5.72/2.27	(10) YES
5.72/2.27	
5.72/2.27	
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(0)
5.72/2.27	Obligation:
5.72/2.27	c file /export/starexec/sandbox/benchmark/theBenchmark.c
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(1) CToIRSProof (EQUIVALENT)
5.72/2.27	Parsed C Integer Program as IRS.
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(2)
5.72/2.27	Obligation:
5.72/2.27	Rules:
5.72/2.27	f1(x, y, z) -> f2(x_1, y, z) :|: TRUE
5.72/2.27	f2(x1, x2, x3) -> f3(x1, x4, x3) :|: TRUE
5.72/2.27	f3(x5, x6, x7) -> f4(x5, x6, x8) :|: TRUE
5.72/2.27	f6(x9, x10, x11) -> f7(arith, x10, x11) :|: TRUE && arith = x9 - 1
5.72/2.27	f7(x33, x34, x35) -> f8(x33, x36, x35) :|: TRUE && x36 = x34 - 1
5.72/2.27	f5(x15, x16, x17) -> f6(x15, x16, x17) :|: x16 > x17
5.72/2.27	f8(x18, x19, x20) -> f5(x18, x19, x20) :|: TRUE
5.72/2.27	f5(x21, x22, x23) -> f9(x21, x22, x23) :|: x22 <= x23
5.72/2.27	f4(x24, x25, x26) -> f5(x24, x25, x26) :|: x24 = x25 && x24 > x26
5.72/2.27	f9(x27, x28, x29) -> f4(x27, x28, x29) :|: TRUE
5.72/2.27	f4(x30, x31, x32) -> f10(x30, x31, x32) :|: x30 <= x32
5.72/2.27	f4(x37, x38, x39) -> f10(x37, x38, x39) :|: x37 < x38
5.72/2.27	f4(x40, x41, x42) -> f10(x40, x41, x42) :|: x40 > x41
5.72/2.27	Start term: f1(x, y, z)
5.72/2.27	
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(3) TerminationGraphProcessor (SOUND)
5.72/2.27	Constructed the termination graph and obtained one non-trivial SCC.
5.72/2.27	
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(4)
5.72/2.27	Obligation:
5.72/2.27	Rules:
5.72/2.27	f4(x24, x25, x26) -> f5(x24, x25, x26) :|: x24 = x25 && x24 > x26
5.72/2.27	f9(x27, x28, x29) -> f4(x27, x28, x29) :|: TRUE
5.72/2.27	f5(x21, x22, x23) -> f9(x21, x22, x23) :|: x22 <= x23
5.72/2.27	f8(x18, x19, x20) -> f5(x18, x19, x20) :|: TRUE
5.72/2.27	f7(x33, x34, x35) -> f8(x33, x36, x35) :|: TRUE && x36 = x34 - 1
5.72/2.27	f6(x9, x10, x11) -> f7(arith, x10, x11) :|: TRUE && arith = x9 - 1
5.72/2.27	f5(x15, x16, x17) -> f6(x15, x16, x17) :|: x16 > x17
5.72/2.27	
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(5) IntTRSCompressionProof (EQUIVALENT)
5.72/2.27	Compressed rules.
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(6)
5.72/2.27	Obligation:
5.72/2.27	Rules:
5.72/2.27	f5(x15:0, x16:0, x17:0) -> f5(x15:0 - 1, x16:0 - 1, x17:0) :|: x17:0 < x16:0
5.72/2.27	
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(7) IntTRSUnneededArgumentFilterProof (EQUIVALENT)
5.72/2.27	Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:
5.72/2.27	
5.72/2.27	   f5(x1, x2, x3) -> f5(x2, x3)
5.72/2.27	
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(8)
5.72/2.27	Obligation:
5.72/2.27	Rules:
5.72/2.27	f5(x16:0, x17:0) -> f5(x16:0 - 1, x17:0) :|: x17:0 < x16:0
5.72/2.27	
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(9) PolynomialOrderProcessor (EQUIVALENT)
5.72/2.27	Found the following polynomial interpretation:
5.72/2.27	[f5(x, x1)] = x - x1
5.72/2.27	
5.72/2.27	The following rules are decreasing:
5.72/2.27	f5(x16:0, x17:0) -> f5(x16:0 - 1, x17:0) :|: x17:0 < x16:0
5.72/2.27	The following rules are bounded:
5.72/2.27	f5(x16:0, x17:0) -> f5(x16:0 - 1, x17:0) :|: x17:0 < x16:0
5.72/2.27	
5.72/2.27	----------------------------------------
5.72/2.27	
5.72/2.27	(10)
5.72/2.27	YES
5.72/2.30	EOF