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


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


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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 176 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 92.6 s]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 117 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) RankingReductionPairProof [EQUIVALENT, 25 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: "cstpcpy" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: (to *i8, from *i8) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca *i8, align 8
		%2 = alloca *i8, align 8
		store %to, %1
		store %from, %2
		br %3
	3:
		%4 = load %2
		%5 = load %4
		%6 = load %1
		store %5, %6
		%7 = sext i8 %5 to i32
		%8 = icmp ne %7 0
		br %8, %9, %15
	9:
		br %10
	10:
		%11 = load %2
		%12 = getelementptr %11, 1
		store %12, %2
		%13 = load %1
		%14 = getelementptr %13, 1
		store %14, %1
		br %3
	15:
		%16 = load %1
		ret %16

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%length1 = alloca i32, align 4
		%length2 = alloca i32, align 4
		%nondetArea = alloca *i8, align 8
		%nondetString = alloca *i8, align 8
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %length1
		%3 = call i32 @__VERIFIER_nondet_int()
		store %3, %length2
		%4 = load %length1
		%5 = icmp slt %4 1
		br %5, %6, %7
	6:
		store 1, %length1
		br %7
	7:
		%8 = load %length2
		%9 = icmp slt %8 1
		br %9, %10, %11
	10:
		store 1, %length2
		br %11
	11:
		%12 = load %length1
		%13 = load %length2
		%14 = icmp slt %12 %13
		br %14, %15, %16
	15:
		store 0, %1
		br %33
	16:
		%17 = load %length1
		%18 = sext i32 %17 to i64
		%19 = mul %18 1
		%20 = alloca i8, numElementsLit: %19
		store %20, %nondetArea
		%21 = load %length2
		%22 = sext i32 %21 to i64
		%23 = mul %22 1
		%24 = alloca i8, numElementsLit: %23
		store %24, %nondetString
		%25 = load %length2
		%26 = sub %25 1
		%27 = sext i32 %26 to i64
		%28 = load %nondetString
		%29 = getelementptr %28, %27
		store 0, %29
		%30 = load %nondetArea
		%31 = load %nondetString
		%32 = call *i8 @cstpcpy(*i8 %30, *i8 %31)
		store 0, %1
		br %33
	33:
		%34 = load %1
		ret %34


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 17 rulesP rules:
f_491(v410, v411, v412, v413, v418, v415, v416, 1, v414, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_492(v410, v411, v412, v413, v418, v439, v416, v415, 1, v414, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE
f_492(v410, v411, v412, v413, v418, v439, v416, v415, 1, v414, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_493(v410, v411, v412, v413, v418, v439, v419, v415, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0
f_493(v410, v411, v412, v413, v418, v439, v419, v415, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_494(v410, v411, v412, v413, v418, v439, v419, v415, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE
f_494(v410, v411, v412, v413, v418, v439, v419, v415, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_495(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0
f_495(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_496(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: v439 != 0 && v418 < v429 && 3 <= v429
f_496(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_498(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0
f_498(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_500(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE
f_500(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_502(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE
f_502(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_504(v410, v411, v412, v413, v418, v439, v419, 1, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0
f_504(v410, v411, v412, v413, v418, v439, v419, 1, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_506(v410, v411, v412, v413, v418, v439, v419, 1, v457, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: v457 = 1 + v418 && 3 <= v457
f_506(v410, v411, v412, v413, v418, v439, v419, 1, v457, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_508(v410, v411, v412, v413, v418, v439, v419, 1, v457, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE
f_508(v410, v411, v412, v413, v418, v439, v419, 1, v457, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_510(v410, v411, v412, v413, v418, v439, v419, 1, v457, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0
f_510(v410, v411, v412, v413, v418, v439, v419, 1, v457, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_512(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: v493 = 1 + v419 && 3 <= v493 && 3 <= v435
f_512(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_513(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE
f_513(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_514(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE
f_514(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_490(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE
f_490(v410, v411, v412, v413, v414, v415, v416, 1, v418, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_491(v410, v411, v412, v413, v418, v415, v416, 1, v414, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0
Combined rules. Obtained 2 rulesP rules:
f_491(v410:0, v411:0, v412:0, v413:0, v418:0, v415:0, v416:0, 1, v414:0, v419:0, v420:0, v430:0, v421:0, v431:0, v422:0, v432:0, v423:0, v433:0, v424:0, v434:0, v435:0, v429:0, v436:0, v437:0, v438:0, 0, v425:0, v426:0, v428:0, 3, 7, 2, 4, 8) -> f_491(v410:0, v411:0, v412:0, v413:0, 1 + v418:0, v439:0, v419:0, 1, v418:0, 1 + v419:0, v420:0, v430:0, v421:0, v431:0, v422:0, v432:0, v423:0, v433:0, v424:0, v434:0, v435:0, v429:0, v436:0, v437:0, v438:0, 0, v425:0, v426:0, v428:0, 3, 7, 2, 4, 8) :|: v429:0 > v418:0 && v439:0 < 0 && v429:0 > 2 && v418:0 > 1 && v435:0 > 2 && v419:0 > 1
f_491(v410:0, v411:0, v412:0, v413:0, v418:0, v415:0, v416:0, 1, v414:0, v419:0, v420:0, v430:0, v421:0, v431:0, v422:0, v432:0, v423:0, v433:0, v424:0, v434:0, v435:0, v429:0, v436:0, v437:0, v438:0, 0, v425:0, v426:0, v428:0, 3, 7, 2, 4, 8) -> f_491(v410:0, v411:0, v412:0, v413:0, 1 + v418:0, v439:0, v419:0, 1, v418:0, 1 + v419:0, v420:0, v430:0, v421:0, v431:0, v422:0, v432:0, v423:0, v433:0, v424:0, v434:0, v435:0, v429:0, v436:0, v437:0, v438:0, 0, v425:0, v426:0, v428:0, 3, 7, 2, 4, 8) :|: v429:0 > v418:0 && v439:0 > 0 && v429:0 > 2 && v418:0 > 1 && v435:0 > 2 && v419:0 > 1
Filtered unneeded arguments:
   f_491(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, x31, x32, x33, x34) -> f_491(x5, x10, x21, x22)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_491(v418:0, v419:0, v435:0, v429:0) -> f_491(1 + v418:0, 1 + v419:0, v435:0, v429:0) :|: v429:0 > 2 && v429:0 > v418:0 && v418:0 > 1 && v419:0 > 1 && v435:0 > 2

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

(8)
Obligation:
Rules:
f_491(v418:0, v419:0, v435:0, v429:0) -> f_491(1 + v418:0, 1 + v419:0, v435:0, v429:0) :|: v429:0 > 2 && v429:0 > v418:0 && v418:0 > 1 && v419:0 > 1 && v435:0 > 2

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

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

(10)
Obligation:
Rules:
f_491(v418:0:0, v419:0:0, v435:0:0, v429:0:0) -> f_491(1 + v418:0:0, 1 + v419:0:0, v435:0:0, v429:0:0) :|: v419:0:0 > 1 && v435:0:0 > 2 && v418:0:0 > 1 && v429:0:0 > v418:0:0 && v429:0:0 > 2

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

(11) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_491 ] = -1*f_491_1 + f_491_4

The following rules are decreasing:
f_491(v418:0:0, v419:0:0, v435:0:0, v429:0:0) -> f_491(1 + v418:0:0, 1 + v419:0:0, v435:0:0, v429:0:0) :|: v419:0:0 > 1 && v435:0:0 > 2 && v418:0:0 > 1 && v429:0:0 > v418:0:0 && v429:0:0 > 2

The following rules are bounded:
f_491(v418:0:0, v419:0:0, v435:0:0, v429:0:0) -> f_491(1 + v418:0:0, 1 + v419:0:0, v435:0:0, v429:0:0) :|: v419:0:0 > 1 && v435:0:0 > 2 && v418:0:0 > 1 && v429:0:0 > v418:0:0 && v429:0:0 > 2


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

(12)
YES