3.88/1.84	YES
3.88/1.85	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
3.88/1.85	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.88/1.85	
3.88/1.85	
3.88/1.85	Termination of the given C Problem could be proven:
3.88/1.85	
3.88/1.85	(0) C Problem
3.88/1.85	(1) CToIRSProof [EQUIVALENT, 0 ms]
3.88/1.85	(2) IntTRS
3.88/1.85	(3) TerminationGraphProcessor [SOUND, 23 ms]
3.88/1.85	(4) IntTRS
3.88/1.85	(5) IntTRSCompressionProof [EQUIVALENT, 13 ms]
3.88/1.85	(6) IntTRS
3.88/1.85	(7) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
3.88/1.85	(8) YES
3.88/1.85	
3.88/1.85	
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(0)
3.88/1.85	Obligation:
3.88/1.85	c file /export/starexec/sandbox/benchmark/theBenchmark.c
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(1) CToIRSProof (EQUIVALENT)
3.88/1.85	Parsed C Integer Program as IRS.
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(2)
3.88/1.85	Obligation:
3.88/1.85	Rules:
3.88/1.85	f1(x) -> f2(0) :|: TRUE
3.88/1.85	f3(x1) -> f4(arith) :|: TRUE && arith = x1 - 1
3.88/1.85	f2(x2) -> f3(x2) :|: x2 >= 0
3.88/1.85	f4(x3) -> f2(x3) :|: TRUE
3.88/1.85	f2(x4) -> f5(x4) :|: x4 < 0
3.88/1.85	Start term: f1(x)
3.88/1.85	
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(3) TerminationGraphProcessor (SOUND)
3.88/1.85	Constructed the termination graph and obtained one non-trivial SCC.
3.88/1.85	
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(4)
3.88/1.85	Obligation:
3.88/1.85	Rules:
3.88/1.85	f2(x2) -> f3(x2) :|: x2 >= 0
3.88/1.85	f4(x3) -> f2(x3) :|: TRUE
3.88/1.85	f3(x1) -> f4(arith) :|: TRUE && arith = x1 - 1
3.88/1.85	
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(5) IntTRSCompressionProof (EQUIVALENT)
3.88/1.85	Compressed rules.
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(6)
3.88/1.85	Obligation:
3.88/1.85	Rules:
3.88/1.85	f4(x3:0) -> f4(x3:0 - 1) :|: x3:0 > -1
3.88/1.85	
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(7) PolynomialOrderProcessor (EQUIVALENT)
3.88/1.85	Found the following polynomial interpretation:
3.88/1.85	[f4(x)] = x
3.88/1.85	
3.88/1.85	The following rules are decreasing:
3.88/1.85	f4(x3:0) -> f4(x3:0 - 1) :|: x3:0 > -1
3.88/1.85	The following rules are bounded:
3.88/1.85	f4(x3:0) -> f4(x3:0 - 1) :|: x3:0 > -1
3.88/1.85	
3.88/1.85	----------------------------------------
3.88/1.85	
3.88/1.85	(8)
3.88/1.85	YES
3.88/1.86	EOF