/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 2287 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 59 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) RankingReductionPairProof [EQUIVALENT, 25 ms]
(12) YES


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(0)
Obligation:
c file /export/starexec/sandbox2/benchmark/theBenchmark.c
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(1) CToLLVMProof (EQUIVALENT)
Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
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(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, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%3 = alloca i32, align 4
		%c = alloca i32, align 4
		store %x, %1
		store %y, %2
		store %z, %3
		store 0, %c
		br %4
	4:
		%5 = load %1
		%6 = load %2
		%7 = icmp sgt %5 %6
		br %7, %8, %12
	8:
		%9 = load %1
		%10 = load %3
		%11 = icmp sgt %9 %10
		br %12
	12:
		%13 = phi [0, %4], [%11, %8]
		br %13, %14, %21
	14:
		%15 = load %2
		%16 = add %15 1
		store %16, %2
		%17 = load %3
		%18 = add %17 1
		store %18, %3
		%19 = load %c
		%20 = add %19 1
		store %20, %c
		br %4
	21:
		%22 = load %c
		ret %22

*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 @__VERIFIER_nondet_int()
		%5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4)
		ret %5


Analyze Termination of all function calls matching the pattern:
main()
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(3) LLVMToTerminationGraphProof (EQUIVALENT)
Constructed symbolic execution graph for LLVM program and proved memory safety.
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(4)
Obligation:
SE Graph
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(5) SymbolicExecutionGraphToSCCProof (SOUND)
Splitted symbolic execution graph to 1 SCC.
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(6)
Obligation:
SCC
----------------------------------------

(7) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 22 rulesP rules:
f_337(v640, v641, v642, v643, v644, v645, v646, v647, 1, v649, v650, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_338(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_338(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_339(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v650 < v640
f_339(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_341(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_341(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_343(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
f_343(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_345(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_345(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_347(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_347(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_349(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v651 < v640
f_349(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_352(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_352(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_354(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_354(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_356(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
f_356(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_358(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_358(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_360(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v759 = 1 + v650
f_360(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_362(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
f_362(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_363(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_363(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_364(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v761 = 1 + v651
f_364(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_365(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
f_365(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_366(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
f_366(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_367(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: v763 = 1 + v653 && 2 <= v763
f_367(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_368(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: TRUE
f_368(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_369(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: TRUE
f_369(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_336(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
f_336(v640, v641, v642, v643, v644, v645, v646, v647, 1, v649, v650, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_337(v640, v641, v642, v643, v644, v645, v646, v647, 1, v649, v650, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_337(v640:0, v641:0, v642:0, v643:0, v644:0, v645:0, v646:0, v647:0, 1, v649:0, v650:0, v651:0, v652:0, v653:0, v654:0, v655:0, v656:0, v657:0, v658:0, v659:0, 0, 3, 4) -> f_337(v640:0, v641:0, v642:0, v643:0, v644:0, v645:0, v646:0, v650:0, 1, v651:0, 1 + v650:0, 1 + v651:0, v653:0, 1 + v653:0, v654:0, v655:0, v656:0, v657:0, v658:0, v659:0, 0, 3, 4) :|: v650:0 < v640:0 && v653:0 > 0 && v651:0 < v640:0
Filtered unneeded arguments:
   f_337(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f_337(x1, x11, x12, x14)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_337(v640:0, v650:0, v651:0, v653:0) -> f_337(v640:0, 1 + v650:0, 1 + v651:0, 1 + v653:0) :|: v653:0 > 0 && v651:0 < v640:0 && v650:0 < v640:0

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(8)
Obligation:
Rules:
f_337(v640:0, v650:0, v651:0, v653:0) -> f_337(v640:0, 1 + v650:0, 1 + v651:0, 1 + v653:0) :|: v653:0 > 0 && v651:0 < v640:0 && v650:0 < v640:0

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(9) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(10)
Obligation:
Rules:
f_337(v640:0:0, v650:0:0, v651:0:0, v653:0:0) -> f_337(v640:0:0, 1 + v650:0:0, 1 + v651:0:0, 1 + v653:0:0) :|: v653:0:0 > 0 && v651:0:0 < v640:0:0 && v650:0:0 < v640:0:0

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(11) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_337 ] = -1*f_337_3 + f_337_1

The following rules are decreasing:
f_337(v640:0:0, v650:0:0, v651:0:0, v653:0:0) -> f_337(v640:0:0, 1 + v650:0:0, 1 + v651:0:0, 1 + v653:0:0) :|: v653:0:0 > 0 && v651:0:0 < v640:0:0 && v650:0:0 < v640:0:0

The following rules are bounded:
f_337(v640:0:0, v650:0:0, v651:0:0, v653:0:0) -> f_337(v640:0:0, 1 + v650:0:0, 1 + v651:0:0, 1 + v653:0:0) :|: v653:0:0 > 0 && v651:0:0 < v640:0:0 && v650:0:0 < v640:0:0


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(12)
YES