/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 174 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 2882 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 129 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
(12) IntTRS
(13) PolynomialOrderProcessor [EQUIVALENT, 14 ms]
(14) 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: "cstrchr" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: (s *i8, c i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca *i8, align 8
		%2 = alloca i32, align 4
		store %s, %1
		store %c, %2
		br %3
	3:
		%4 = load %1
		%5 = load %4
		%6 = sext i8 %5 to i32
		%7 = icmp ne %6 0
		br %7, %8, %16
	8:
		%9 = load %1
		%10 = load %9
		%11 = sext i8 %10 to i32
		%12 = load %2
		%13 = trunc i32 %12 to i8
		%14 = sext i8 %13 to i32
		%15 = icmp ne %11 %14
		br %16
	16:
		%17 = phi [0, %3], [%15, %8]
		br %17, %18, %21
	18:
		%19 = load %1
		%20 = getelementptr %19, 1
		store %20, %1
		br %3
	21:
		%22 = load %1
		%23 = load %22
		%24 = sext i8 %23 to i32
		%25 = load %2
		%26 = icmp eq %24 %25
		br %26, %27, %29
	27:
		%28 = load %1
		br %30
	29:
		br %30
	30:
		%31 = phi [%28, %27], [null, %29]
		ret %31

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%length = alloca i32, align 4
		%nondetString = alloca *i8, align 8
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %length
		%3 = load %length
		%4 = icmp slt %3 1
		br %4, %5, %6
	5:
		store 1, %length
		br %6
	6:
		%7 = load %length
		%8 = sext i32 %7 to i64
		%9 = mul %8 1
		%10 = alloca i8, numElementsLit: %9
		store %10, %nondetString
		%11 = load %length
		%12 = sub %11 1
		%13 = sext i32 %12 to i64
		%14 = load %nondetString
		%15 = getelementptr %14, %13
		store 0, %15
		%16 = load %nondetString
		%17 = call i32 @__VERIFIER_nondet_int()
		%18 = call *i8 @cstrchr(*i8 %16, i32 %17)
		ret 0


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 21 rulesP rules:
f_470(v582, v583, v584, v585, v662, v673, 1, v586, v587, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_472(v582, v583, v584, v585, v662, v673, 1, v586, v587, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_472(v582, v583, v584, v585, v662, v673, 1, v586, v587, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_474(v582, v583, v584, v585, v662, v673, 1, v586, v587, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: TRUE
f_474(v582, v583, v584, v585, v662, v673, 1, v586, v587, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_476(v582, v583, v584, v585, v662, v673, 1, v587, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_476(v582, v583, v584, v585, v662, v673, 1, v587, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_477(v582, v583, v584, v585, v662, v673, 1, v587, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_477(v582, v583, v584, v585, v662, v673, 1, v587, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_478(v582, v583, v584, v585, v662, v673, 1, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_478(v582, v583, v584, v585, v662, v673, 1, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_479(v582, v583, v584, v585, v662, v673, 1, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_479(v582, v583, v584, v585, v662, v673, 1, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_480(v582, v583, v584, v585, v662, v673, 1, v734, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: TRUE
f_480(v582, v583, v584, v585, v662, v673, 1, v734, v589, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_481(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_481(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_482(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: v673 != v734
f_482(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_484(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_484(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_486(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_486(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_456(v582, v583, v584, v585, v662, v673, 1, v734, v586, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v587, 0, v594, v596, 3, 7, 2, 4, 8) :|: TRUE
f_456(v582, v583, v584, v585, v586, v587, 1, v589, v590, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_459(v582, v583, v584, v585, v586, v587, 1, v589, v590, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: TRUE
f_459(v582, v583, v584, v585, v586, v587, 1, v589, v590, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_462(v582, v583, v584, v585, v586, v587, 1, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_462(v582, v583, v584, v585, v586, v587, 1, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_464(v582, v583, v584, v585, v586, v587, 1, v589, v662, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: v662 = 1 + v586 && 3 <= v662
f_464(v582, v583, v584, v585, v586, v587, 1, v589, v662, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_465(v582, v583, v584, v585, v586, v587, 1, v589, v662, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: TRUE
f_465(v582, v583, v584, v585, v586, v587, 1, v589, v662, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_466(v582, v583, v584, v585, v586, v587, 1, v589, v662, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: TRUE
f_466(v582, v583, v584, v585, v586, v587, 1, v589, v662, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_467(v582, v583, v584, v585, v662, v587, 1, v586, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_467(v582, v583, v584, v585, v662, v587, 1, v586, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_468(v582, v583, v584, v585, v662, v673, v587, 1, v586, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: TRUE
f_468(v582, v583, v584, v585, v662, v673, v587, 1, v586, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_469(v582, v583, v584, v585, v662, v673, 1, v586, v587, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: 0 = 0
f_469(v582, v583, v584, v585, v662, v673, 1, v586, v587, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) -> f_470(v582, v583, v584, v585, v662, v673, 1, v586, v587, v589, v591, v598, v592, v599, v593, v600, v597, v601, v602, v603, v590, v604, 0, v594, v596, 3, 7, 2, 4, 8) :|: v673 != 0 && v662 < v597 && 4 <= v597
Combined rules. Obtained 4 rulesP rules:
f_470(v582:0, v583:0, v584:0, v585:0, v662:0, v673:0, 1, v586:0, v587:0, v589:0, v591:0, v598:0, v592:0, v599:0, v593:0, v600:0, v597:0, v601:0, v602:0, v603:0, v590:0, v604:0, 0, v594:0, v596:0, 3, 7, 2, 4, 8) -> f_470(v582:0, v583:0, v584:0, v585:0, 1 + v662:0, v673:1, 1, v662:0, v673:0, v734:0, v591:0, v598:0, v592:0, v599:0, v593:0, v600:0, v597:0, v601:0, v602:0, v603:0, v586:0, v587:0, 0, v594:0, v596:0, 3, 7, 2, 4, 8) :|: v734:0 > v673:0 && v662:0 > 1 && v597:0 > 1 + v662:0 && v597:0 > 3 && v673:1 < 0
f_470(v582:0, v583:0, v584:0, v585:0, v662:0, v673:0, 1, v586:0, v587:0, v589:0, v591:0, v598:0, v592:0, v599:0, v593:0, v600:0, v597:0, v601:0, v602:0, v603:0, v590:0, v604:0, 0, v594:0, v596:0, 3, 7, 2, 4, 8) -> f_470(v582:0, v583:0, v584:0, v585:0, 1 + v662:0, v673:1, 1, v662:0, v673:0, v734:0, v591:0, v598:0, v592:0, v599:0, v593:0, v600:0, v597:0, v601:0, v602:0, v603:0, v586:0, v587:0, 0, v594:0, v596:0, 3, 7, 2, 4, 8) :|: v734:0 > v673:0 && v662:0 > 1 && v597:0 > 1 + v662:0 && v597:0 > 3 && v673:1 > 0
f_470(v582:0, v583:0, v584:0, v585:0, v662:0, v673:0, 1, v586:0, v587:0, v589:0, v591:0, v598:0, v592:0, v599:0, v593:0, v600:0, v597:0, v601:0, v602:0, v603:0, v590:0, v604:0, 0, v594:0, v596:0, 3, 7, 2, 4, 8) -> f_470(v582:0, v583:0, v584:0, v585:0, 1 + v662:0, v673:1, 1, v662:0, v673:0, v734:0, v591:0, v598:0, v592:0, v599:0, v593:0, v600:0, v597:0, v601:0, v602:0, v603:0, v586:0, v587:0, 0, v594:0, v596:0, 3, 7, 2, 4, 8) :|: v734:0 < v673:0 && v662:0 > 1 && v597:0 > 1 + v662:0 && v597:0 > 3 && v673:1 < 0
f_470(v582:0, v583:0, v584:0, v585:0, v662:0, v673:0, 1, v586:0, v587:0, v589:0, v591:0, v598:0, v592:0, v599:0, v593:0, v600:0, v597:0, v601:0, v602:0, v603:0, v590:0, v604:0, 0, v594:0, v596:0, 3, 7, 2, 4, 8) -> f_470(v582:0, v583:0, v584:0, v585:0, 1 + v662:0, v673:1, 1, v662:0, v673:0, v734:0, v591:0, v598:0, v592:0, v599:0, v593:0, v600:0, v597:0, v601:0, v602:0, v603:0, v586:0, v587:0, 0, v594:0, v596:0, 3, 7, 2, 4, 8) :|: v734:0 < v673:0 && v662:0 > 1 && v597:0 > 1 + v662:0 && v597:0 > 3 && v673:1 > 0
Filtered unneeded arguments:
   f_470(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, x29, x30) -> f_470(x5, x6, x17)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_470(v662:0, v673:0, v597:0) -> f_470(1 + v662:0, v673:1, v597:0) :|: v597:0 > 1 + v662:0 && v662:0 > 1 && v673:1 < 0 && v597:0 > 3
f_470(v662:0, v673:0, v597:0) -> f_470(1 + v662:0, v673:1, v597:0) :|: v597:0 > 1 + v662:0 && v662:0 > 1 && v673:1 > 0 && v597:0 > 3

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

(8)
Obligation:
Rules:
f_470(v662:0, v673:0, v597:0) -> f_470(1 + v662:0, v673:1, v597:0) :|: v597:0 > 1 + v662:0 && v662:0 > 1 && v673:1 < 0 && v597:0 > 3
f_470(x, x1, x2) -> f_470(1 + x, x3, x2) :|: x2 > 1 + x && x > 1 && x3 > 0 && x2 > 3

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

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

(10)
Obligation:
Rules:
f_470(x:0, x1:0, x2:0) -> f_470(1 + x:0, x3:0, x2:0) :|: x3:0 > 0 && x2:0 > 3 && x:0 > 1 && x2:0 > 1 + x:0
f_470(v662:0:0, v673:0:0, v597:0:0) -> f_470(1 + v662:0:0, v673:1:0, v597:0:0) :|: v673:1:0 < 0 && v597:0:0 > 3 && v662:0:0 > 1 && v597:0:0 > 1 + v662:0:0

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

(11) IntTRSUnneededArgumentFilterProof (EQUIVALENT)
Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:

   f_470(x1, x2, x3) -> f_470(x1, x3)

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

(12)
Obligation:
Rules:
f_470(x:0, x2:0) -> f_470(1 + x:0, x2:0) :|: x3:0 > 0 && x2:0 > 3 && x:0 > 1 && x2:0 > 1 + x:0
f_470(v662:0:0, v597:0:0) -> f_470(1 + v662:0:0, v597:0:0) :|: v673:1:0 < 0 && v597:0:0 > 3 && v662:0:0 > 1 && v597:0:0 > 1 + v662:0:0

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

(13) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_470(x, x1)] = -2 - x + x1

The following rules are decreasing:
f_470(x:0, x2:0) -> f_470(1 + x:0, x2:0) :|: x3:0 > 0 && x2:0 > 3 && x:0 > 1 && x2:0 > 1 + x:0
f_470(v662:0:0, v597:0:0) -> f_470(1 + v662:0:0, v597:0:0) :|: v673:1:0 < 0 && v597:0:0 > 3 && v662:0:0 > 1 && v597:0:0 > 1 + v662:0:0
The following rules are bounded:
f_470(x:0, x2:0) -> f_470(1 + x:0, x2:0) :|: x3:0 > 0 && x2:0 > 3 && x:0 > 1 && x2:0 > 1 + x:0
f_470(v662:0:0, v597:0:0) -> f_470(1 + v662:0:0, v597:0:0) :|: v673:1:0 < 0 && v597:0:0 > 3 && v662:0:0 > 1 && v597:0:0 > 1 + v662:0:0

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(14)
YES