21.62/6.77	YES
21.83/6.79	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
21.83/6.79	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
21.83/6.79	
21.83/6.79	
21.83/6.79	Termination of the given C Problem could be proven:
21.83/6.79	
21.83/6.79	(0) C Problem
21.83/6.79	(1) CToLLVMProof [EQUIVALENT, 175 ms]
21.83/6.79	(2) LLVM problem
21.83/6.79	(3) LLVMToTerminationGraphProof [EQUIVALENT, 1203 ms]
21.83/6.79	(4) LLVM Symbolic Execution Graph
21.83/6.79	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
21.83/6.79	(6) AND
21.83/6.79	    (7) LLVM Symbolic Execution SCC
21.83/6.79	        (8) SCC2IRS [SOUND, 116 ms]
21.83/6.79	        (9) IntTRS
21.83/6.79	        (10) IRS2T2 [EQUIVALENT, 0 ms]
21.83/6.79	        (11) T2IntSys
21.83/6.79	        (12) T2 [EQUIVALENT, 1253 ms]
21.83/6.79	        (13) YES
21.83/6.79	    (14) LLVM Symbolic Execution SCC
21.83/6.79	        (15) SCC2IRS [SOUND, 60 ms]
21.83/6.79	        (16) IntTRS
21.83/6.79	        (17) IntTRSCompressionProof [EQUIVALENT, 0 ms]
21.83/6.79	        (18) IntTRS
21.83/6.79	        (19) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
21.83/6.79	        (20) YES
21.83/6.79	
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(0)
21.83/6.79	Obligation:
21.83/6.79	c file /export/starexec/sandbox/benchmark/theBenchmark.c
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(1) CToLLVMProof (EQUIVALENT)
21.83/6.79	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(2)
21.83/6.79	Obligation:
21.83/6.79	LLVM Problem
21.83/6.79	
21.83/6.79	Aliases:
21.83/6.79	
21.83/6.79	Data layout:
21.83/6.79	
21.83/6.79	"e-p:64:64:64-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64-f32:32:32-f64:64:64-v64:64:64-v128:128:128-a0:0:64-s0:64:64-f80:128:128-n8:16:32:64-S128"
21.83/6.79	
21.83/6.79	Machine:
21.83/6.79	
21.83/6.79	"x86_64-pc-linux-gnu"
21.83/6.79	
21.83/6.79	Type definitions:
21.83/6.79	
21.83/6.79	Global variables:
21.83/6.79	
21.83/6.79	Name: x initVal: null type: *i32 addrSpace: null alignment: 8 threadLocal: false constant: false linkageType: COMMON section: null
21.83/6.79	
21.83/6.79	Function declarations and definitions:
21.83/6.79	
21.83/6.79	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
21.83/6.79	*BasicFunctionTypename: "foo" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
21.83/6.79		0:
21.83/6.79			%1 = alloca i32, align 4
21.83/6.79			%2 = load @x
21.83/6.79			%3 = load %2
21.83/6.79			%4 = add %3 -1
21.83/6.79			store %4, %2
21.83/6.79			%5 = load %1
21.83/6.79			ret %5
21.83/6.79	
21.83/6.79	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
21.83/6.79		0:
21.83/6.79			%1 = alloca i32, align 4
21.83/6.79			store 0, %1
21.83/6.79			%2 = alloca i8, numElementsLit: 4
21.83/6.79			%3 = bitcast *i8 %2 to *i32
21.83/6.79			store %3, @x
21.83/6.79			%4 = call i32 @__VERIFIER_nondet_int()
21.83/6.79			%5 = load @x
21.83/6.79			store %4, %5
21.83/6.79			br %6
21.83/6.79		6:
21.83/6.79			%7 = load @x
21.83/6.79			%8 = load %7
21.83/6.79			%9 = icmp sgt %8 0
21.83/6.79			br %9, %10, %18
21.83/6.79		10:
21.83/6.79			%11 = call i32 @__VERIFIER_nondet_int()
21.83/6.79			%12 = icmp ne %11 0
21.83/6.79			br %12, %13, %15
21.83/6.79		13:
21.83/6.79			%14 = call i32 @foo()
21.83/6.79			br %17
21.83/6.79		15:
21.83/6.79			%16 = call i32 @foo()
21.83/6.79			br %17
21.83/6.79		17:
21.83/6.79			br %6
21.83/6.79		18:
21.83/6.79			ret 0
21.83/6.79	
21.83/6.79	
21.83/6.79	Analyze Termination of all function calls matching the pattern:
21.83/6.79	main()
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(3) LLVMToTerminationGraphProof (EQUIVALENT)
21.83/6.79	Constructed symbolic execution graph for LLVM program and proved memory safety.
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(4)
21.83/6.79	Obligation:
21.83/6.79	SE Graph
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(5) SymbolicExecutionGraphToSCCProof (SOUND)
21.83/6.79	Splitted symbolic execution graph to 2 SCCs.
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(6)
21.83/6.79	Complex Obligation (AND)
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(7)
21.83/6.79	Obligation:
21.83/6.79	SCC
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(8) SCC2IRS (SOUND)
21.83/6.79	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
21.83/6.79	Generated rules. Obtained 49 rulesP rules:
21.83/6.79	f_235(v189, v212, v196, v190, v197, v191, v198, v213, 0, v193, v192, 1, 7, 3, 8, 4) -> f_238(v189, v212, v191, v196, v190, v197, v198, v213, 0, v193, v192, 1, 7, 3, 8, 4) :|: 0 = 0
21.83/6.79	f_238(v189, v212, v191, v196, v190, v197, v198, v213, 0, v193, v192, 1, 7, 3, 8, 4) -> f_241(v189, v212, v191, v193, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) :|: 0 = 0
21.83/6.79	f_241(v189, v212, v191, v193, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) -> f_244(v189, v212, v191, v193, v216, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) :|: 1 + v216 = v193 && 0 <= v216
21.83/6.79	f_244(v189, v212, v191, v193, v216, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) -> f_247(v189, v212, v191, v193, v216, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) :|: TRUE
21.83/6.79	f_247(v189, v212, v191, v193, v216, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) -> f_250(v189, v212, v191, v193, v216, v224, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) :|: TRUE
21.83/6.79	f_250(v189, v212, v191, v193, v216, v224, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) -> f_253(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) :|: 0 = 0
21.83/6.79	f_253(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) -> f_256(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) :|: TRUE
21.83/6.79	f_256(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) -> f_259(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) :|: TRUE
21.83/6.79	f_259(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) -> f_261(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) :|: 0 = 0
21.83/6.79	f_261(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) -> f_263(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 8, 4) :|: 0 = 0
21.83/6.79	f_263(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 8, 4) -> f_266(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: 0 < v216 && 2 <= v192
21.83/6.79	f_266(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_270(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_270(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_274(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_274(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_277(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_277(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_280(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: v269 != 0
21.83/6.79	f_277(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_281(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: v269 = 0
21.83/6.79	f_280(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_284(v189, v190, v191, v192, v216, 1, v269, v224, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_284(v189, v190, v191, v192, v216, 1, v269, v224, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_288(v189, v190, v191, v192, v216, 1, v269, v224, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_288(v189, v190, v191, v192, v216, 1, v269, v224, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_292(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_292(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_295(v189, v318, v196, v190, v197, v191, v198, v319, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: 1 <= v318 && v319 = 3 + v318 && 4 <= v319
21.83/6.79	f_295(v189, v318, v196, v190, v197, v191, v198, v319, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_297(v189, v318, v191, v196, v190, v197, v198, v319, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_297(v189, v318, v191, v196, v190, v197, v198, v319, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_299(v189, v318, v191, v216, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_299(v189, v318, v191, v216, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_301(v189, v318, v191, v216, v321, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: 1 + v321 = v216 && 0 <= v321
21.83/6.79	f_301(v189, v318, v191, v216, v321, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_303(v189, v318, v191, v216, v321, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_303(v189, v318, v191, v216, v321, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_305(v189, v318, v191, v216, v321, v326, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_305(v189, v318, v191, v216, v321, v326, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_307(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_307(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) -> f_309(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_309(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) -> f_311(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_311(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) -> f_312(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_312(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) -> f_313(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_313(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_314(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 < v321 && 3 <= v192
21.83/6.79	f_314(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_316(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_316(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_318(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_318(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_320(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_320(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_321(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: v411 != 0
21.83/6.79	f_320(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_322(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) :|: v411 = 0
21.83/6.79	f_321(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_323(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_323(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_325(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_325(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_327(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v411, v224, v326, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_327(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v411, v224, v326, 7, 3, 2, 8, 4) -> f_292(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_322(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) -> f_324(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_324(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) -> f_326(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_326(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) -> f_328(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v224, v326, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_328(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v224, v326, 7, 3, 2, 8, 4) -> f_232(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, 7, 3, 8, 4) :|: TRUE
21.83/6.79	f_232(v189, v196, v190, v197, v191, v198, 0, v193, v192, 1, 7, 3, 8, 4) -> f_235(v189, v212, v196, v190, v197, v191, v198, v213, 0, v193, v192, 1, 7, 3, 8, 4) :|: 1 <= v212 && v213 = 3 + v212 && 4 <= v213
21.83/6.79	f_281(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_285(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_285(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_289(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_289(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_293(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, v224, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_293(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, v224, 7, 3, 2, 8, 4) -> f_232(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, 7, 3, 8, 4) :|: TRUE
21.83/6.79	Combined rules. Obtained 6 rulesP rules:
21.83/6.79	f_320(v189:0, v190:0, v191:0, v192:0, 1 + v321:1, 1, v411:0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) -> f_320(v189:0, v190:0, v191:0, v192:0, v321:1, 1, v411:1, v224:0, v326:1, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) :|: v321:1 > 0 && v318:0 > 0 && v411:0 < 0 && v192:0 > 2
21.83/6.79	f_320(v189:0, v190:0, v191:0, v192:0, 1 + v321:1, 1, v411:0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) -> f_320(v189:0, v190:0, v191:0, v192:0, v321:1, 1, v411:1, v224:0, v326:1, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) :|: v321:1 > 0 && v318:0 > 0 && v411:0 > 0 && v192:0 > 2
21.83/6.79	f_235(v189:0, v212:0, v196:0, v190:0, v197:0, v191:0, v198:0, v213:0, 0, 1 + (1 + v321:0), v192:0, 1, 7, 3, 8, 4) -> f_320(v189:0, v190:0, v191:0, v192:0, v321:0, 1, v411:0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) :|: v321:0 > 0 && v192:0 > 2 && v269:0 < 0 && v318:0 > 0
21.83/6.79	f_235(v189:0, v212:0, v196:0, v190:0, v197:0, v191:0, v198:0, v213:0, 0, 1 + (1 + v321:0), v192:0, 1, 7, 3, 8, 4) -> f_320(v189:0, v190:0, v191:0, v192:0, v321:0, 1, v411:0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) :|: v321:0 > 0 && v192:0 > 2 && v269:0 > 0 && v318:0 > 0
21.83/6.79	f_320(v189:0, v190:0, v191:0, v192:0, v321:0, 1, 0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) -> f_235(v189:0, v212:0, v196:0, v190:0, v197:0, v191:0, v198:0, 3 + v212:0, 0, v321:0, v192:0, 1, 7, 3, 8, 4) :|: v212:0 > 0
21.83/6.79	f_235(v189:0, v212:0, v196:0, v190:0, v197:0, v191:0, v198:0, v213:0, 0, 1 + v216:0, v192:0, 1, 7, 3, 8, 4) -> f_235(v189:0, v212:1, v196:0, v190:0, v197:0, v191:0, v198:0, 3 + v212:1, 0, v216:0, v192:0, 1, 7, 3, 8, 4) :|: v216:0 > 0 && v192:0 > 1 && v212:1 > 0
21.83/6.79	Filtered unneeded arguments:
21.83/6.79	   f_320(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_320(x4, x5, x7)
21.83/6.79	   f_235(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_235(x10, x11)
21.83/6.79	Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules:
21.83/6.79	f_320(v192:0, sum~cons_1~v321:1, v411:0) -> f_320(v192:0, v321:1, v411:1) :|: v411:0 < 0 && v192:0 > 2 && v321:1 > 0 && sum~cons_1~v321:1 = 1 + v321:1
21.83/6.79	f_320(v192:0, sum~cons_1~v321:1, v411:0) -> f_320(v192:0, v321:1, v411:1) :|: v411:0 > 0 && v192:0 > 2 && v321:1 > 0 && sum~cons_1~v321:1 = 1 + v321:1
21.83/6.79	f_235(sum~cons_1~sum~cons_1~v321:0, v192:0) -> f_320(v192:0, v321:0, v411:0) :|: v321:0 > 0 && v192:0 > 2 && sum~cons_1~sum~cons_1~v321:0 = 1 + (1 + v321:0)
21.83/6.79	f_320(v192:0, v321:0, cons_0) -> f_235(v321:0, v192:0) :|: TRUE && cons_0 = 0
21.83/6.79	f_235(sum~cons_1~v216:0, v192:0) -> f_235(v216:0, v192:0) :|: v216:0 > 0 && v192:0 > 1 && sum~cons_1~v216:0 = 1 + v216:0
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(9)
21.83/6.79	Obligation:
21.83/6.79	Rules:
21.83/6.79	f_320(v192:0, sum~cons_1~v321:1, v411:0) -> f_320(v192:0, v321:1, v411:1) :|: v411:0 < 0 && v192:0 > 2 && v321:1 > 0 && sum~cons_1~v321:1 = 1 + v321:1
21.83/6.79	f_320(x, x1, x2) -> f_320(x, x3, x4) :|: x2 > 0 && x > 2 && x3 > 0 && x1 = 1 + x3
21.83/6.79	f_235(x5, x6) -> f_320(x6, x7, x8) :|: x7 > 0 && x6 > 2 && x5 = 1 + (1 + x7)
21.83/6.79	f_320(x9, x10, x11) -> f_235(x10, x9) :|: TRUE && x11 = 0
21.83/6.79	f_235(x12, x13) -> f_235(x14, x13) :|: x14 > 0 && x13 > 1 && x12 = 1 + x14
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(10) IRS2T2 (EQUIVALENT)
21.83/6.79	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
21.83/6.79	
21.83/6.79	   (f_320_3,1)
21.83/6.79	   (f_235_3,2)
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(11)
21.83/6.79	Obligation:
21.83/6.79	START: 0;
21.83/6.79	
21.83/6.79	FROM: 0;
21.83/6.79	TO: 1;
21.83/6.79	
21.83/6.79	FROM: 0;
21.83/6.79	TO: 2;
21.83/6.79	
21.83/6.79	FROM: 1;
21.83/6.79	oldX0 := x0;
21.83/6.79	oldX1 := x1;
21.83/6.79	oldX2 := x2;
21.83/6.79	oldX3 := oldX1 - 1;
21.83/6.79	oldX4 := nondet();
21.83/6.79	assume(oldX2 < 0 && oldX0 > 2 && oldX3 > 0 && oldX1 = 1 + oldX3);
21.83/6.79	x0 := oldX0;
21.83/6.79	x1 := oldX1 - 1;
21.83/6.79	x2 := oldX4;
21.83/6.79	TO: 1;
21.83/6.79	
21.83/6.79	FROM: 1;
21.83/6.79	oldX0 := x0;
21.83/6.79	oldX1 := x1;
21.83/6.79	oldX2 := x2;
21.83/6.79	oldX3 := oldX1 - 1;
21.83/6.79	oldX4 := nondet();
21.83/6.79	assume(oldX2 > 0 && oldX0 > 2 && oldX3 > 0 && oldX1 = 1 + oldX3);
21.83/6.79	x0 := oldX0;
21.83/6.79	x1 := oldX1 - 1;
21.83/6.79	x2 := oldX4;
21.83/6.79	TO: 1;
21.83/6.79	
21.83/6.79	FROM: 2;
21.83/6.79	oldX0 := x0;
21.83/6.79	oldX1 := x1;
21.83/6.79	oldX2 := x2;
21.83/6.79	oldX3 := oldX0 - 2;
21.83/6.79	oldX4 := nondet();
21.83/6.79	assume(oldX3 > 0 && oldX1 > 2 && oldX0 = 1 + (1 + oldX3));
21.83/6.79	x0 := oldX1;
21.83/6.79	x1 := oldX0 - 2;
21.83/6.79	x2 := oldX4;
21.83/6.79	TO: 1;
21.83/6.79	
21.83/6.79	FROM: 1;
21.83/6.79	oldX0 := x0;
21.83/6.79	oldX1 := x1;
21.83/6.79	oldX2 := x2;
21.83/6.79	oldX3 := nondet();
21.83/6.79	assume(0 = 0 && oldX2 = 0);
21.83/6.79	x0 := oldX1;
21.83/6.79	x1 := oldX0;
21.83/6.79	x2 := oldX3;
21.83/6.79	TO: 2;
21.83/6.79	
21.83/6.79	FROM: 2;
21.83/6.79	oldX0 := x0;
21.83/6.79	oldX1 := x1;
21.83/6.79	oldX2 := x2;
21.83/6.79	oldX3 := oldX0 - 1;
21.83/6.79	oldX4 := nondet();
21.83/6.79	assume(oldX3 > 0 && oldX1 > 1 && oldX0 = 1 + oldX3);
21.83/6.79	x0 := oldX0 - 1;
21.83/6.79	x1 := oldX1;
21.83/6.79	x2 := oldX4;
21.83/6.79	TO: 2;
21.83/6.79	
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(12) T2 (EQUIVALENT)
21.83/6.79	Initially, performed program simplifications using lexicographic rank functions:
21.83/6.79	 * Removed transitions 2, 5, 6, 7, 17, 20, 21 using the following rank functions:
21.83/6.79	    - Rank function 1:
21.83/6.79	      RF for loc. 6: 5+3*x1
21.83/6.79	      RF for loc. 7: 1+3*x0
21.83/6.79	      RF for loc. 8: 4+3*x1
21.83/6.79	      RF for loc. 12: 3*x0
21.83/6.79	      Bound for (chained) transitions 5: 10
21.83/6.79	      Bound for (chained) transitions 6: 10
21.83/6.79	      Bound for (chained) transitions 20: 9
21.83/6.79	      Bound for (chained) transitions 21: 6
21.83/6.79	    - Rank function 2:
21.83/6.79	      RF for loc. 6: 3
21.83/6.79	      RF for loc. 7: 1
21.83/6.79	      RF for loc. 8: 2
21.83/6.79	      RF for loc. 12: 0
21.83/6.79	      Bound for (chained) transitions 2: 3
21.83/6.79	      Bound for (chained) transitions 7: 2
21.83/6.79	      Bound for (chained) transitions 17: 1
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(13)
21.83/6.79	YES
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(14)
21.83/6.79	Obligation:
21.83/6.79	SCC
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(15) SCC2IRS (SOUND)
21.83/6.79	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
21.83/6.79	Generated rules. Obtained 20 rulesP rules:
21.83/6.79	f_278(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_282(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_282(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_286(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_286(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_290(v238, v246, v239, v247, v240, v248, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_290(v238, v246, v239, v247, v240, v248, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_294(v238, v316, v246, v239, v247, v240, v248, v317, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: 1 <= v316 && v317 = 3 + v316 && 4 <= v317
21.83/6.79	f_294(v238, v316, v246, v239, v247, v240, v248, v317, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_296(v238, v316, v240, v246, v239, v247, v248, v317, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_296(v238, v316, v240, v246, v239, v247, v248, v317, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_298(v238, v316, v240, v250, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_298(v238, v316, v240, v250, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_300(v238, v316, v240, v250, v320, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: 1 + v320 = v250 && 0 <= v320
21.83/6.79	f_300(v238, v316, v240, v250, v320, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_302(v238, v316, v240, v250, v320, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_302(v238, v316, v240, v250, v320, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_304(v238, v316, v240, v250, v320, v324, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_304(v238, v316, v240, v250, v320, v324, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_306(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_306(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) -> f_308(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_308(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) -> f_310(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_310(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) -> f_258(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 8, 4) :|: TRUE
21.83/6.79	f_258(v238, v239, v240, v241, v242, 1, v244, v245, v246, v247, v248, 0, v250, 7, 3, 8, 4) -> f_260(v238, v239, v240, v241, v242, 1, v244, v245, v246, v247, v248, 0, v250, 7, 3, 8, 4) :|: 0 = 0
21.83/6.79	f_260(v238, v239, v240, v241, v242, 1, v244, v245, v246, v247, v248, 0, v250, 7, 3, 8, 4) -> f_262(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 8, 4) :|: 0 = 0
21.83/6.79	f_262(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 8, 4) -> f_264(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: 0 < v250 && 2 <= v241
21.83/6.79	f_264(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_268(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: 0 = 0
21.83/6.79	f_268(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_272(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_272(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_276(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: TRUE
21.83/6.79	f_276(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_278(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: v268 != 0
21.83/6.79	Combined rules. Obtained 2 rulesP rules:
21.83/6.79	f_278(v238:0, v239:0, v240:0, v241:0, 1 + v320:0, 1, v268:0, v245:0, v246:0, v247:0, v248:0, 0, 7, 3, 2, 8, 4) -> f_278(v238:0, v239:0, v240:0, v241:0, v320:0, 1, v268:1, v324:0, v246:0, v247:0, v248:0, 0, 7, 3, 2, 8, 4) :|: v320:0 > 0 && v316:0 > 0 && v268:1 < 0 && v241:0 > 1
21.83/6.79	f_278(v238:0, v239:0, v240:0, v241:0, 1 + v320:0, 1, v268:0, v245:0, v246:0, v247:0, v248:0, 0, 7, 3, 2, 8, 4) -> f_278(v238:0, v239:0, v240:0, v241:0, v320:0, 1, v268:1, v324:0, v246:0, v247:0, v248:0, 0, 7, 3, 2, 8, 4) :|: v320:0 > 0 && v316:0 > 0 && v268:1 > 0 && v241:0 > 1
21.83/6.79	Filtered unneeded arguments:
21.83/6.79	   f_278(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_278(x4, x5)
21.83/6.79	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
21.83/6.79	f_278(v241:0, sum~cons_1~v320:0) -> f_278(v241:0, v320:0) :|: v320:0 > 0 && v241:0 > 1 && sum~cons_1~v320:0 = 1 + v320:0
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(16)
21.83/6.79	Obligation:
21.83/6.79	Rules:
21.83/6.79	f_278(v241:0, sum~cons_1~v320:0) -> f_278(v241:0, v320:0) :|: v320:0 > 0 && v241:0 > 1 && sum~cons_1~v320:0 = 1 + v320:0
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(17) IntTRSCompressionProof (EQUIVALENT)
21.83/6.79	Compressed rules.
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(18)
21.83/6.79	Obligation:
21.83/6.79	Rules:
21.83/6.79	f_278(v241:0:0, sum~cons_1~v320:0:0) -> f_278(v241:0:0, v320:0:0) :|: v320:0:0 > 0 && v241:0:0 > 1 && sum~cons_1~v320:0:0 = 1 + v320:0:0
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(19) PolynomialOrderProcessor (EQUIVALENT)
21.83/6.79	Found the following polynomial interpretation:
21.83/6.79	[f_278(x, x1)] = x1
21.83/6.79	
21.83/6.79	The following rules are decreasing:
21.83/6.79	f_278(v241:0:0, sum~cons_1~v320:0:0) -> f_278(v241:0:0, v320:0:0) :|: v320:0:0 > 0 && v241:0:0 > 1 && sum~cons_1~v320:0:0 = 1 + v320:0:0
21.83/6.79	The following rules are bounded:
21.83/6.79	f_278(v241:0:0, sum~cons_1~v320:0:0) -> f_278(v241:0:0, v320:0:0) :|: v320:0:0 > 0 && v241:0:0 > 1 && sum~cons_1~v320:0:0 = 1 + v320:0:0
21.83/6.79	
21.83/6.79	----------------------------------------
21.83/6.79	
21.83/6.79	(20)
21.83/6.79	YES
21.83/6.83	EOF