/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.c
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given C Problem could be proven:

(0) C Problem
(1) CToLLVMProof [EQUIVALENT, 180 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 6162 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms]
(6) LLVM Symbolic Execution Lasso
(7) Lasso2IRS [SOUND, 107 ms]
(8) IntTRS
(9) IRS2T2 [EQUIVALENT, 0 ms]
(10) T2IntSys
(11) T2 [EQUIVALENT, 1024 ms]
(12) YES


----------------------------------------

(0)
Obligation:
c file /export/starexec/sandbox/benchmark/theBenchmark.c
----------------------------------------

(1) CToLLVMProof (EQUIVALENT)
Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
----------------------------------------

(2)
Obligation:
LLVM Problem

Aliases:

Data layout:

"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"

Machine:

"x86_64-pc-linux-gnu"

Type definitions:

Global variables:

Function declarations and definitions:

*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "__VERIFIER_error" returnParam: BasicVoidType parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "fibonacci" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		store %n, %2
		%3 = load %2
		%4 = icmp slt %3 1
		br %4, %5, %6
	5:
		store 0, %1
		br %18
	6:
		%7 = load %2
		%8 = icmp eq %7 1
		br %8, %9, %10
	9:
		store 1, %1
		br %18
	10:
		%11 = load %2
		%12 = sub %11 1
		%13 = call i32 @fibonacci(i32 %12)
		%14 = load %2
		%15 = sub %14 2
		%16 = call i32 @fibonacci(i32 %15)
		%17 = add %13 %16
		store %17, %1
		br %18
	18:
		%19 = load %1
		ret %19

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%x = alloca i32, align 4
		%result = alloca i32, align 4
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %x
		%3 = load %x
		%4 = icmp sgt %3 46
		br %4, %9, %5
	5:
		%6 = load %x
		%7 = sext i32 %6 to i64
		%8 = icmp eq %7 -2147483648
		br %8, %9, %10
	9:
		store 0, %1
		br %20
	10:
		%11 = load %x
		%12 = call i32 @fibonacci(i32 %11)
		store %12, %result
		%13 = load %result
		%14 = load %x
		%15 = sub %14 1
		%16 = icmp sge %13 %15
		br %16, %17, %18
	17:
		store 0, %1
		br %20
	18:
		br %19
	19:
		Unnamed Call-Instruction = call BasicVoidType (...)* @__VERIFIER_error() noreturn
		unreachable
	20:
		%21 = load %1
		ret %21


Analyze Termination of all function calls matching the pattern:
main()
----------------------------------------

(3) LLVMToTerminationGraphProof (EQUIVALENT)
Constructed symbolic execution graph for LLVM program and proved memory safety.
----------------------------------------

(4)
Obligation:
SE Graph
----------------------------------------

(5) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
Converted SEGraph to 1 independent lasso.
----------------------------------------

(6)
Obligation:
Lasso
----------------------------------------

(7) Lasso2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 67 rulesP rules:
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
f_167 -> f_168(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
f_168(v1, v2, 3, 1, 4) -> f_169(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4
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
f_170(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_171(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Combined rules. Obtained 4 rulesP rules:
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
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
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
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
Filtered unneeded arguments:
   f_274(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f_274(x1, x11)
Removed division, modulo operations, cleaned up constraints. Obtained 4 rules.P rules:
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
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
f_167 -> f_274(v7:0, v7:0) :|: v7:0 < 47
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

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(8)
Obligation:
Rules:
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
f_274(x, x1) -> f_274(0, x1) :|: x1 > 1 && x2 < 46 && x2 > 0 && x = 1 + x2
f_167 -> f_274(v7:0, v7:0) :|: v7:0 < 47
f_274(x3, x4) -> f_274(x5, x4) :|: x4 > 1 && x5 < 46 && x5 > 0 && x3 = 1 + x5
Start term: f_167

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(9) IRS2T2 (EQUIVALENT)
Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:

   (f_274_2,1)
   (f_167_2,2)

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(10)
Obligation:
START: 2;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := oldX0 - 2;
assume(oldX1 > 1 && oldX2 < 45 && oldX2 > -1 && oldX0 = 2 + oldX2);
x0 := oldX0 - 2;
x1 := oldX1;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := oldX0 - 1;
assume(oldX1 > 1 && oldX2 < 46 && oldX2 > 0 && oldX0 = 1 + oldX2);
x0 := 0;
x1 := oldX1;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := nondet();
assume(oldX2 < 47);
x0 := oldX2;
x1 := oldX2;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := oldX0 - 1;
assume(oldX1 > 1 && oldX2 < 46 && oldX2 > 0 && oldX0 = 1 + oldX2);
x0 := oldX0 - 1;
x1 := oldX1;
TO: 1;


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(11) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 1, 4, 5, 6 using the following rank functions:
    - Rank function 1:
      RF for loc. 5: 44+66*x0
      RF for loc. 6: 66*x0
      Bound for (chained) transitions 4: 132
      Bound for (chained) transitions 5: 132
    - Rank function 2:
      RF for loc. 5: 2*x0
      RF for loc. 6: -1+2*x0
      Bound for (chained) transitions 6: 3
    - Rank function 3:
      RF for loc. 5: 1
      RF for loc. 6: 0
      Bound for (chained) transitions 1: 1

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(12)
YES