33.33/10.73	YES
33.48/10.74	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
33.48/10.74	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
33.48/10.74	
33.48/10.74	
33.48/10.74	Termination of the given C Problem could be proven:
33.48/10.74	
33.48/10.74	(0) C Problem
33.48/10.74	(1) CToLLVMProof [EQUIVALENT, 171 ms]
33.48/10.74	(2) LLVM problem
33.48/10.74	(3) LLVMToTerminationGraphProof [EQUIVALENT, 6554 ms]
33.48/10.74	(4) LLVM Symbolic Execution Graph
33.48/10.74	(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms]
33.48/10.74	(6) LLVM Symbolic Execution Lasso
33.48/10.74	(7) Lasso2IRS [SOUND, 167 ms]
33.48/10.74	(8) IntTRS
33.48/10.74	(9) IRS2T2 [EQUIVALENT, 0 ms]
33.48/10.74	(10) T2IntSys
33.48/10.74	(11) T2 [EQUIVALENT, 1098 ms]
33.48/10.74	(12) YES
33.48/10.74	
33.48/10.74	
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(0)
33.48/10.74	Obligation:
33.48/10.74	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(1) CToLLVMProof (EQUIVALENT)
33.48/10.74	Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(2)
33.48/10.74	Obligation:
33.48/10.74	LLVM Problem
33.48/10.74	
33.48/10.74	Aliases:
33.48/10.74	
33.48/10.74	Data layout:
33.48/10.74	
33.48/10.74	"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"
33.48/10.74	
33.48/10.74	Machine:
33.48/10.74	
33.48/10.74	"x86_64-pc-linux-gnu"
33.48/10.74	
33.48/10.74	Type definitions:
33.48/10.74	
33.48/10.74	Global variables:
33.48/10.74	
33.48/10.74	Function declarations and definitions:
33.48/10.74	
33.48/10.74	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
33.48/10.74	*BasicFunctionTypename: "__VERIFIER_error" returnParam: BasicVoidType parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc
33.48/10.74	*BasicFunctionTypename: "fibonacci" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
33.48/10.74		0:
33.48/10.74			%1 = alloca i32, align 4
33.48/10.74			%2 = alloca i32, align 4
33.48/10.74			store %n, %2
33.48/10.74			%3 = load %2
33.48/10.74			%4 = icmp slt %3 1
33.48/10.74			br %4, %5, %6
33.48/10.74		5:
33.48/10.74			store 0, %1
33.48/10.74			br %18
33.48/10.74		6:
33.48/10.74			%7 = load %2
33.48/10.74			%8 = icmp eq %7 1
33.48/10.74			br %8, %9, %10
33.48/10.74		9:
33.48/10.74			store 1, %1
33.48/10.74			br %18
33.48/10.74		10:
33.48/10.74			%11 = load %2
33.48/10.74			%12 = sub %11 1
33.48/10.74			%13 = call i32 @fibonacci(i32 %12)
33.48/10.74			%14 = load %2
33.48/10.74			%15 = sub %14 2
33.48/10.74			%16 = call i32 @fibonacci(i32 %15)
33.48/10.74			%17 = add %13 %16
33.48/10.74			store %17, %1
33.48/10.74			br %18
33.48/10.74		18:
33.48/10.74			%19 = load %1
33.48/10.74			ret %19
33.48/10.74	
33.48/10.74	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
33.48/10.74		0:
33.48/10.74			%1 = alloca i32, align 4
33.48/10.74			%x = alloca i32, align 4
33.48/10.74			%result = alloca i32, align 4
33.48/10.74			store 0, %1
33.48/10.74			%2 = call i32 @__VERIFIER_nondet_int()
33.48/10.74			store %2, %x
33.48/10.74			%3 = load %x
33.48/10.74			%4 = icmp sgt %3 46
33.48/10.74			br %4, %9, %5
33.48/10.74		5:
33.48/10.74			%6 = load %x
33.48/10.74			%7 = sext i32 %6 to i64
33.48/10.74			%8 = icmp eq %7 -2147483648
33.48/10.74			br %8, %9, %10
33.48/10.74		9:
33.48/10.74			store 0, %1
33.48/10.74			br %20
33.48/10.74		10:
33.48/10.74			%11 = load %x
33.48/10.74			%12 = call i32 @fibonacci(i32 %11)
33.48/10.74			store %12, %result
33.48/10.74			%13 = load %result
33.48/10.74			%14 = load %x
33.48/10.74			%15 = sub %14 1
33.48/10.74			%16 = icmp sge %13 %15
33.48/10.74			br %16, %17, %18
33.48/10.74		17:
33.48/10.74			store 0, %1
33.48/10.74			br %20
33.48/10.74		18:
33.48/10.74			br %19
33.48/10.74		19:
33.48/10.74			Unnamed Call-Instruction = call BasicVoidType (...)* @__VERIFIER_error() noreturn
33.48/10.74			unreachable
33.48/10.74		20:
33.48/10.74			%21 = load %1
33.48/10.74			ret %21
33.48/10.74	
33.48/10.74	
33.48/10.74	Analyze Termination of all function calls matching the pattern:
33.48/10.74	main()
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(3) LLVMToTerminationGraphProof (EQUIVALENT)
33.48/10.74	Constructed symbolic execution graph for LLVM program and proved memory safety.
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(4)
33.48/10.74	Obligation:
33.48/10.74	SE Graph
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(5) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
33.48/10.74	Converted SEGraph to 1 independent lasso.
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(6)
33.48/10.74	Obligation:
33.48/10.74	Lasso
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(7) Lasso2IRS (SOUND)
33.48/10.74	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
33.48/10.74	Generated rules. Obtained 67 rulesP rules:
33.48/10.74	f_274(v76, v85, v77, v78, v79, v80, v81, v82, v86, 0, v84, 3, 46, 1, 4) -> f_277(v76, v85, v87, v77, v78, v79, v80, v81, v82, v86, v88, 0, v84, 3, 46, 1, 4) :|: 1 <= v87 && v88 = 3 + v87 && 4 <= v88
33.48/10.74	f_277(v76, v85, v87, v77, v78, v79, v80, v81, v82, v86, v88, 0, v84, 3, 46, 1, 4) -> f_278(v76, v85, v87, v77, v78, v79, v80, v81, v82, v86, v88, 0, v84, 3, 46, 1, 4) :|: TRUE
33.48/10.74	f_278(v76, v85, v87, v77, v78, v79, v80, v81, v82, v86, v88, 0, v84, 3, 46, 1, 4) -> f_279(v76, v85, v87, v77, v78, v79, v80, v81, v82, v86, v88, 0, v84, 3, 46, 1, 4) :|: 0 = 0
33.48/10.74	f_279(v76, v85, v87, v77, v78, v79, v80, v81, v82, v86, v88, 0, v84, 3, 46, 1, 4) -> f_281(v76, v85, v87, v77, v78, v79, v80, v81, v82, v86, v88, 0, v84, 3, 1, 46, 4) :|: 1 <= v76 && 1 <= v84
33.48/10.74	f_281(v76, v85, v87, v77, v78, v79, v80, v81, v82, v86, v88, 0, v84, 3, 1, 46, 4) -> f_283(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 46, 4) :|: 0 = 0
33.48/10.74	f_283(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 46, 4) -> f_285(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 46, 4) :|: TRUE
33.48/10.74	f_285(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 46, 4) -> f_287(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 46, 4) :|: 0 = 0
33.48/10.74	f_287(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 46, 4) -> f_290(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 2, 46, 1, 4) :|: v76 != 1 && 2 <= v76 && v76 <= 46 && 2 <= v84
33.48/10.74	f_290(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 2, 46, 1, 4) -> f_293(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 2, 46, 1, 4) :|: 0 = 0
33.48/10.74	f_293(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 2, 46, 1, 4) -> f_296(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 2, 46, 1, 4) :|: TRUE
33.48/10.74	f_296(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 2, 46, 1, 4) -> f_299(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 2, 46, 1, 4) :|: 0 = 0
33.48/10.74	f_299(v76, v85, v87, 0, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 2, 46, 1, 4) -> f_302(v76, v85, v87, 0, v102, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) :|: 1 + v102 = v76 && 1 <= v102 && v102 <= 45
33.48/10.74	f_302(v76, v85, v87, 0, v102, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) -> f_305(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: 0 = 0
33.48/10.74	f_305(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_308(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: TRUE
33.48/10.74	f_305(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_314(1, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, 2, 3, 4, 46) :|: TRUE
33.48/10.74	f_305(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_683(v102, v1196, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: TRUE
33.48/10.74	f_305(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_713(v102, v1295, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: TRUE
33.48/10.74	f_305(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_758(v102, v1430, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: TRUE
33.48/10.74	f_305(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_799(v102, v1430, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: TRUE
33.48/10.74	f_305(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_825(v102, v1430, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: TRUE
33.48/10.74	f_308(v102, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_271(v102, v77, v78, v79, v80, v81, v82, 0, v84, 3, 46, 1, 4) :|: TRUE
33.48/10.74	f_271(v76, v77, v78, v79, v80, v81, v82, 0, v84, 3, 46, 1, 4) -> f_274(v76, v85, v77, v78, v79, v80, v81, v82, v86, 0, v84, 3, 46, 1, 4) :|: 1 <= v85 && v86 = 3 + v85 && 4 <= v86
33.48/10.74	f_314(1, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, 2, 3, 4, 46) -> f_317(2, v85, v87, 0, 1, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 4, 46) :|: 0 = 0
33.48/10.74	f_317(2, v85, v87, 0, 1, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 4, 46) -> f_320(2, v85, v87, 0, 1, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 4, 46) :|: 0 = 0
33.48/10.74	f_320(2, v85, v87, 0, 1, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 4, 46) -> f_323(2, v85, v87, 0, 1, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 4, 46) :|: 0 = 0
33.48/10.74	f_323(2, v85, v87, 0, 1, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 4, 46) -> f_326(0, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, v84, 2, 1, 3, 4, 46) :|: 0 = 0
33.48/10.74	f_326(0, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, v84, 2, 1, 3, 4, 46) -> f_328(0, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, v84, 2, 3, 1, 4, 46) :|: TRUE
33.48/10.74	f_328(0, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, v84, 2, 3, 1, 4, 46) -> f_271(0, v77, v78, v79, v80, v81, v82, 0, v84, 3, 46, 1, 4) :|: TRUE
33.48/10.74	f_683(v102, v1196, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_691(v76, v85, v87, 0, v102, v1196, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) :|: 0 = 0
33.48/10.74	f_691(v76, v85, v87, 0, v102, v1196, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) -> f_694(v76, v85, v87, 0, v102, v1196, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) :|: 0 = 0
33.48/10.74	f_694(v76, v85, v87, 0, v102, v1196, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) -> f_697(v76, v85, v87, 0, v102, v1196, v1217, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45, 44) :|: 2 + v1217 = v76 && 0 <= v1217 && v1217 <= 44
33.48/10.74	f_697(v76, v85, v87, 0, v102, v1196, v1217, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45, 44) -> f_700(v1217, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, v102, v1196, 3, 1, 2, 46, 4, 45, 44) :|: 0 = 0
33.48/10.74	f_700(v1217, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, v102, v1196, 3, 1, 2, 46, 4, 45, 44) -> f_703(v1217, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 2, 46, 1, 4, 44) :|: TRUE
33.48/10.74	f_703(v1217, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 2, 46, 1, 4, 44) -> f_271(v1217, v77, v78, v79, v80, v81, v82, 0, v84, 3, 46, 1, 4) :|: TRUE
33.48/10.74	f_713(v102, v1295, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_721(v76, v85, v87, 0, v102, v1295, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) :|: 0 = 0
33.48/10.74	f_721(v76, v85, v87, 0, v102, v1295, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) -> f_729(v76, v85, v87, 0, v102, v1295, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) :|: 0 = 0
33.48/10.74	f_729(v76, v85, v87, 0, v102, v1295, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) -> f_737(v76, v85, v87, 0, v102, v1295, v1332, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45, 44) :|: 2 + v1332 = v76 && 0 <= v1332 && v1332 <= 44
33.48/10.74	f_737(v76, v85, v87, 0, v102, v1295, v1332, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45, 44) -> f_744(v1332, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, v102, v1295, 3, 1, 2, 46, 4, 45, 44) :|: 0 = 0
33.48/10.74	f_744(v1332, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, v102, v1295, 3, 1, 2, 46, 4, 45, 44) -> f_750(v1332, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 2, 46, 1, 4, 44) :|: TRUE
33.48/10.74	f_750(v1332, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 2, 46, 1, 4, 44) -> f_271(v1332, v77, v78, v79, v80, v81, v82, 0, v84, 3, 46, 1, 4) :|: TRUE
33.48/10.74	f_758(v102, v1430, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_767(v76, v85, v87, 0, v102, v1430, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) :|: 0 = 0
33.48/10.74	f_767(v76, v85, v87, 0, v102, v1430, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) -> f_776(v76, v85, v87, 0, v102, v1430, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) :|: 0 = 0
33.48/10.74	f_776(v76, v85, v87, 0, v102, v1430, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45) -> f_783(v76, v85, v87, 0, v102, v1430, v1518, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45, 44) :|: 2 + v1518 = v76 && 0 <= v1518 && v1518 <= 44
33.48/10.74	f_783(v76, v85, v87, 0, v102, v1430, v1518, v77, v78, v79, v80, v81, v82, v86, v88, v84, 3, 1, 2, 46, 4, 45, 44) -> f_790(v1518, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, v102, v1430, 3, 1, 2, 46, 4, 45, 44) :|: 0 = 0
33.48/10.74	f_790(v1518, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, v102, v1430, 3, 1, 2, 46, 4, 45, 44) -> f_797(v1518, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 2, 46, 1, 4, 44) :|: TRUE
33.48/10.74	f_797(v1518, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 2, 46, 1, 4, 44) -> f_271(v1518, v77, v78, v79, v80, v81, v82, 0, v84, 3, 46, 1, 4) :|: TRUE
33.48/10.74	f_799(v102, v1430, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_758(v102, v1430, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: TRUE
33.48/10.74	f_825(v102, v1430, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) -> f_799(v102, v1430, v77, v78, v79, v80, v81, v82, v85, v86, v87, v88, 0, v84, v76, 3, 1, 2, 46, 4, 45) :|: TRUE
33.48/10.74	f_167 -> f_168(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
33.48/10.74	f_168(v1, v2, 3, 1, 4) -> f_169(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4
33.48/10.74	f_169(v1, v3, v2, v4, 3, 1, 4) -> f_170(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6
33.48/10.74	f_170(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_171(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
33.48/10.74	f_171(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_172(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
33.48/10.74	f_172(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_173(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
33.48/10.74	f_173(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_174(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0
33.48/10.74	f_174(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_176(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4, 46) :|: v7 <= 46
33.48/10.74	f_176(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4, 46) -> f_178(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) :|: 0 = 0
33.48/10.74	f_178(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) -> f_180(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) :|: TRUE
33.48/10.74	f_180(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) -> f_182(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) :|: 0 = 0
33.48/10.74	f_182(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) -> f_184(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) :|: 0 = 0
33.48/10.74	f_184(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) -> f_187(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) :|: 0 = 0
33.48/10.74	f_187(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) -> f_189(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) :|: TRUE
33.48/10.74	f_189(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) -> f_191(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) :|: 0 = 0
33.48/10.74	f_191(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4, 46) -> f_193(v7, v1, v2, v3, v4, v5, v6, 0, 3, 1, 4, 46) :|: 0 = 0
33.48/10.74	f_193(v7, v1, v2, v3, v4, v5, v6, 0, 3, 1, 4, 46) -> f_195(v7, v1, v2, v3, v4, v5, v6, 0, 3, 1, 4, 46) :|: TRUE
33.48/10.74	f_195(v7, v1, v2, v3, v4, v5, v6, 0, 3, 1, 4, 46) -> f_231(v7, v1, v2, v3, v4, v5, v6, 0, v7, 3, 1, 46, 4) :|: TRUE
33.48/10.74	f_231(v37, v38, v39, v40, v41, v42, v43, 0, v45, 3, 1, 46, 4) -> f_271(v37, v38, v39, v40, v41, v42, v43, 0, v45, 3, 46, 1, 4) :|: TRUE
33.48/10.74	Combined rules. Obtained 4 rulesP rules:
33.48/10.74	f_274(2 + v1217:0, v85:0, v77:0, v78:0, v79:0, v80:0, v81:0, v82:0, v86:0, 0, v84:0, 3, 46, 1, 4) -> f_274(v1217:0, v85:1, v77:0, v78:0, v79:0, v80:0, v81:0, v82:0, 3 + v85:1, 0, v84:0, 3, 46, 1, 4) :|: v1217:0 > -1 && v84:0 > 1 && v87:0 > 0 && v1217:0 < 45 && v102:0 > 0 && 2 + v1217:0 = 1 + v102:0 && v102:0 < 46 && v85:1 > 0
33.48/10.74	f_274(1 + v102:0, v85:0, v77:0, v78:0, v79:0, v80:0, v81:0, v82:0, v86:0, 0, v84:0, 3, 46, 1, 4) -> f_274(0, v85:1, v77:0, v78:0, v79:0, v80:0, v81:0, v82:0, 3 + v85:1, 0, v84:0, 3, 46, 1, 4) :|: v102:0 > 0 && v84:0 > 1 && v87:0 > 0 && v102:0 < 46 && v85:1 > 0
33.48/10.74	f_167 -> f_274(v7:0, v85:0, v1:0, 3 + v1:0, v3:0, 3 + v3:0, v5:0, 3 + v5:0, 3 + v85:0, 0, v7:0, 3, 46, 1, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 < 47 && v85:0 > 0
33.48/10.74	f_274(1 + v102:0, v85:0, v77:0, v78:0, v79:0, v80:0, v81:0, v82:0, v86:0, 0, v84:0, 3, 46, 1, 4) -> f_274(v102:0, v85:1, v77:0, v78:0, v79:0, v80:0, v81:0, v82:0, 3 + v85:1, 0, v84:0, 3, 46, 1, 4) :|: v102:0 > 0 && v84:0 > 1 && v87:0 > 0 && v102:0 < 46 && v85:1 > 0
33.48/10.74	Filtered unneeded arguments:
33.48/10.74	   f_274(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f_274(x1, x11)
33.48/10.74	Removed division, modulo operations, cleaned up constraints. Obtained 4 rules.P rules:
33.48/10.74	f_274(sum~cons_2~v1217:0, v84:0) -> f_274(v1217:0, v84:0) :|: v84:0 > 1 && v1217:0 < 45 && v1217:0 > -1 && sum~cons_2~v1217:0 = 2 + v1217:0
33.48/10.74	f_274(sum~cons_1~v102:0, v84:0) -> f_274(0, v84:0) :|: v84:0 > 1 && v102:0 < 46 && v102:0 > 0 && sum~cons_1~v102:0 = 1 + v102:0
33.48/10.74	f_167 -> f_274(v7:0, v7:0) :|: v7:0 < 47
33.48/10.74	f_274(sum~cons_1~v102:0, v84:0) -> f_274(v102:0, v84:0) :|: v84:0 > 1 && v102:0 < 46 && v102:0 > 0 && sum~cons_1~v102:0 = 1 + v102:0
33.48/10.74	
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(8)
33.48/10.74	Obligation:
33.48/10.74	Rules:
33.48/10.74	f_274(sum~cons_2~v1217:0, v84:0) -> f_274(v1217:0, v84:0) :|: v84:0 > 1 && v1217:0 < 45 && v1217:0 > -1 && sum~cons_2~v1217:0 = 2 + v1217:0
33.48/10.74	f_274(x, x1) -> f_274(0, x1) :|: x1 > 1 && x2 < 46 && x2 > 0 && x = 1 + x2
33.48/10.74	f_167 -> f_274(v7:0, v7:0) :|: v7:0 < 47
33.48/10.74	f_274(x3, x4) -> f_274(x5, x4) :|: x4 > 1 && x5 < 46 && x5 > 0 && x3 = 1 + x5
33.48/10.74	Start term: f_167
33.48/10.74	
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(9) IRS2T2 (EQUIVALENT)
33.48/10.74	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
33.48/10.74	
33.48/10.74	   (f_274_2,1)
33.48/10.74	   (f_167_2,2)
33.48/10.74	
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(10)
33.48/10.74	Obligation:
33.48/10.74	START: 2;
33.48/10.74	
33.48/10.74	FROM: 1;
33.48/10.74	oldX0 := x0;
33.48/10.74	oldX1 := x1;
33.48/10.74	oldX2 := oldX0 - 2;
33.48/10.74	assume(oldX1 > 1 && oldX2 < 45 && oldX2 > -1 && oldX0 = 2 + oldX2);
33.48/10.74	x0 := oldX0 - 2;
33.48/10.74	x1 := oldX1;
33.48/10.74	TO: 1;
33.48/10.74	
33.48/10.74	FROM: 1;
33.48/10.74	oldX0 := x0;
33.48/10.74	oldX1 := x1;
33.48/10.74	oldX2 := oldX0 - 1;
33.48/10.74	assume(oldX1 > 1 && oldX2 < 46 && oldX2 > 0 && oldX0 = 1 + oldX2);
33.48/10.74	x0 := 0;
33.48/10.74	x1 := oldX1;
33.48/10.74	TO: 1;
33.48/10.74	
33.48/10.74	FROM: 2;
33.48/10.74	oldX0 := x0;
33.48/10.74	oldX1 := x1;
33.48/10.74	oldX2 := nondet();
33.48/10.74	assume(oldX2 < 47);
33.48/10.74	x0 := oldX2;
33.48/10.74	x1 := oldX2;
33.48/10.74	TO: 1;
33.48/10.74	
33.48/10.74	FROM: 1;
33.48/10.74	oldX0 := x0;
33.48/10.74	oldX1 := x1;
33.48/10.74	oldX2 := oldX0 - 1;
33.48/10.74	assume(oldX1 > 1 && oldX2 < 46 && oldX2 > 0 && oldX0 = 1 + oldX2);
33.48/10.74	x0 := oldX0 - 1;
33.48/10.74	x1 := oldX1;
33.48/10.74	TO: 1;
33.48/10.74	
33.48/10.74	
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(11) T2 (EQUIVALENT)
33.48/10.74	Initially, performed program simplifications using lexicographic rank functions:
33.48/10.74	 * Removed transitions 1, 4, 5, 6 using the following rank functions:
33.48/10.74	    - Rank function 1:
33.48/10.74	      RF for loc. 5: 44+66*x0
33.48/10.74	      RF for loc. 6: 66*x0
33.48/10.74	      Bound for (chained) transitions 4: 132
33.48/10.74	      Bound for (chained) transitions 5: 132
33.48/10.74	    - Rank function 2:
33.48/10.74	      RF for loc. 5: 2*x0
33.48/10.74	      RF for loc. 6: -1+2*x0
33.48/10.74	      Bound for (chained) transitions 6: 3
33.48/10.74	    - Rank function 3:
33.48/10.74	      RF for loc. 5: 1
33.48/10.74	      RF for loc. 6: 0
33.48/10.74	      Bound for (chained) transitions 1: 1
33.48/10.74	
33.48/10.74	----------------------------------------
33.48/10.74	
33.48/10.74	(12)
33.48/10.74	YES
33.56/10.83	EOF