/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files


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YES
proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 177 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1699 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 109 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) PolynomialOrderProcessor [EQUIVALENT, 22 ms]
(12) YES


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

(0)
Obligation:
c file /export/starexec/sandbox2/benchmark/theBenchmark.c
----------------------------------------

(1) CToLLVMProof (EQUIVALENT)
Compiled c-file /export/starexec/sandbox2/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: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, tmp i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%x_ref = alloca *i32, align 8
		%tmp_ref = alloca *i32, align 8
		store %x, %1
		store %tmp, %2
		%3 = alloca i8, numElementsLit: 4
		%4 = bitcast *i8 %3 to *i32
		store %4, %x_ref
		%5 = alloca i8, numElementsLit: 4
		%6 = bitcast *i8 %5 to *i32
		store %6, %tmp_ref
		%7 = load %1
		%8 = load %x_ref
		store %7, %8
		%9 = load %2
		%10 = load %tmp_ref
		store %9, %10
		%11 = call i32 @__VERIFIER_nondet_int()
		%12 = load %tmp_ref
		store %11, %12
		br %13
	13:
		%14 = load %x_ref
		%15 = load %14
		%16 = icmp sgt %15 0
		br %16, %17, %23
	17:
		%18 = load %1
		%19 = load %tmp_ref
		%20 = load %19
		%21 = mul 2 %20
		%22 = icmp eq %18 %21
		br %23
	23:
		%24 = phi [0, %13], [%22, %17]
		br %24, %25, %32
	25:
		%26 = load %x_ref
		%27 = load %26
		%28 = sub %27 1
		%29 = load %x_ref
		store %28, %29
		%30 = call i32 @__VERIFIER_nondet_int()
		%31 = load %tmp_ref
		store %30, %31
		br %13
	32:
		%33 = load %x_ref
		%34 = load %33
		ret %34

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		%3 = call i32 @__VERIFIER_nondet_int()
		%4 = call i32 @test_fun(i32 %2, i32 %3)
		ret %4


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) SymbolicExecutionGraphToSCCProof (SOUND)
Splitted symbolic execution graph to 1 SCC.
----------------------------------------

(6)
Obligation:
SCC
----------------------------------------

(7) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 23 rulesP rules:
f_290(v224, v225, v226, v227, v228, v229, v230, v231, v232, v233, 1, v235, v236, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_291(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_291(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_292(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 < v236 && 2 <= v233
f_292(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_294(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_294(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_296(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: TRUE
f_296(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_298(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_298(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_300(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_300(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v235, v233, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_302(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_302(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_304(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v274, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: v274 = 2 * v237
f_304(v224, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v274, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_306(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: v224 = v274 && 1 <= v237
f_306(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_308(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_308(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_310(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_310(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_312(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: TRUE
f_312(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_314(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_314(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v233, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_316(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_316(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_318(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 1 + v361 = v236 && 0 <= v361
f_318(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_320(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_320(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_321(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: TRUE
f_321(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_322(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: TRUE
f_322(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_323(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_323(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_324(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: TRUE
f_324(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_325(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: TRUE
f_325(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_289(v274, v225, v226, v227, v228, v229, v230, v231, v232, v236, 1, v237, v361, v363, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: TRUE
f_289(v224, v225, v226, v227, v228, v229, v230, v231, v232, v233, 1, v235, v236, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) -> f_290(v224, v225, v226, v227, v228, v229, v230, v231, v232, v233, 1, v235, v236, v237, v238, v239, v240, v241, v242, v243, v244, v245, 0, 3, 7, 2, 4, 8) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_290(2 * v237:0, v225:0, v226:0, v227:0, v228:0, v229:0, v230:0, v231:0, v232:0, v233:0, 1, v235:0, 1 + v361:0, v237:0, v238:0, v239:0, v240:0, v241:0, v242:0, v243:0, v244:0, v245:0, 0, 3, 7, 2, 4, 8) -> f_290(2 * v237:0, v225:0, v226:0, v227:0, v228:0, v229:0, v230:0, v231:0, v232:0, 1 + v361:0, 1, v237:0, v361:0, v363:0, v238:0, v239:0, v240:0, v241:0, v242:0, v243:0, v244:0, v245:0, 0, 3, 7, 2, 4, 8) :|: v233:0 > 1 && v361:0 > -1 && v237:0 > 0
Filtered unneeded arguments:
   f_290(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) -> f_290(x1, x10, x13, x14)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_290(times~cons_2~v237:0, v233:0, sum~cons_1~v361:0, v237:0) -> f_290(2 * v237:0, 1 + v361:0, v361:0, v363:0) :|: v361:0 > -1 && v237:0 > 0 && v233:0 > 1 && times~cons_2~v237:0 = 2 * v237:0 && sum~cons_1~v361:0 = 1 + v361:0

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

(8)
Obligation:
Rules:
f_290(times~cons_2~v237:0, v233:0, sum~cons_1~v361:0, v237:0) -> f_290(2 * v237:0, 1 + v361:0, v361:0, v363:0) :|: v361:0 > -1 && v237:0 > 0 && v233:0 > 1 && times~cons_2~v237:0 = 2 * v237:0 && sum~cons_1~v361:0 = 1 + v361:0

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(9) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(10)
Obligation:
Rules:
f_290(times~cons_2~v237:0:0, v233:0:0, sum~cons_1~v361:0:0, v237:0:0) -> f_290(2 * v237:0:0, 1 + v361:0:0, v361:0:0, v363:0:0) :|: v361:0:0 > -1 && v237:0:0 > 0 && v233:0:0 > 1 && times~cons_2~v237:0:0 = 2 * v237:0:0 && sum~cons_1~v361:0:0 = 1 + v361:0:0

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(11) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_290(x, x1, x2, x3)] = x2

The following rules are decreasing:
f_290(times~cons_2~v237:0:0, v233:0:0, sum~cons_1~v361:0:0, v237:0:0) -> f_290(2 * v237:0:0, 1 + v361:0:0, v361:0:0, v363:0:0) :|: v361:0:0 > -1 && v237:0:0 > 0 && v233:0:0 > 1 && times~cons_2~v237:0:0 = 2 * v237:0:0 && sum~cons_1~v361:0:0 = 1 + v361:0:0
The following rules are bounded:
f_290(times~cons_2~v237:0:0, v233:0:0, sum~cons_1~v361:0:0, v237:0:0) -> f_290(2 * v237:0:0, 1 + v361:0:0, v361:0:0, v363:0:0) :|: v361:0:0 > -1 && v237:0:0 > 0 && v233:0:0 > 1 && times~cons_2~v237:0:0 = 2 * v237:0:0 && sum~cons_1~v361:0:0 = 1 + v361:0:0

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(12)
YES