/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 179 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 3002 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 81 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) RankingReductionPairProof [EQUIVALENT, 30 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: (i i32, j i32, k i32, tmp i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%3 = alloca i32, align 4
		%4 = alloca i32, align 4
		%c = alloca i32, align 4
		store %i, %1
		store %j, %2
		store %k, %3
		store %tmp, %4
		store 0, %c
		br %5
	5:
		%6 = load %1
		%7 = icmp sle %6 100
		br %7, %8, %12
	8:
		%9 = load %2
		%10 = load %3
		%11 = icmp sle %9 %10
		br %12
	12:
		%13 = phi [0, %5], [%11, %8]
		br %13, %14, %23
	14:
		%15 = load %1
		store %15, %4
		%16 = load %2
		store %16, %1
		%17 = load %4
		%18 = add %17 1
		store %18, %2
		%19 = load %3
		%20 = sub %19 1
		store %20, %3
		%21 = load %c
		%22 = add %21 1
		store %22, %c
		br %5
	23:
		%24 = load %c
		ret %24

*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 @__VERIFIER_nondet_int()
		%6 = call i32 @test_fun(i32 %2, i32 %3, i32 %4, i32 %5)
		ret %6


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 25 rulesP rules:
f_376(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_377(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: v693 <= 100
f_377(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_379(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_379(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_381(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_381(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_383(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v694, v691, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_383(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v694, v691, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_385(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_385(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_387(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: v695 <= v696
f_387(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_390(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_390(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_392(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_392(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_394(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_394(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_396(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_396(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_398(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_398(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_400(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_400(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_401(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_401(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v691, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_402(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_402(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_403(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: v805 = 1 + v693 && v805 <= 101
f_403(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_404(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_404(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v694, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_405(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_405(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_406(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 1 + v807 = v696
f_406(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_407(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_407(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_408(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
f_408(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_409(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) :|: v809 = 1 + v698 && 2 <= v809
f_409(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) -> f_410(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) :|: TRUE
f_410(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) -> f_411(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) :|: TRUE
f_411(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4, 2) -> f_375(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v695, v696, v805, v807, v698, v809, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: TRUE
f_375(v682, v683, v684, v685, v686, v687, v688, v689, v690, v691, 1, v693, v694, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) -> f_376(v682, v683, v684, v685, v686, v687, v688, v689, v690, v693, 1, v694, v691, v695, v696, v697, v698, v699, v700, v701, v702, v703, v704, v705, 0, 3, 100, 101, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_376(v682:0, v683:0, v684:0, v685:0, v686:0, v687:0, v688:0, v689:0, v690:0, v693:0, 1, v694:0, v691:0, v695:0, 1 + v807:0, v697:0, v698:0, v699:0, v700:0, v701:0, v702:0, v703:0, v704:0, v705:0, 0, 3, 100, 101, 4) -> f_376(v682:0, v683:0, v684:0, v685:0, v686:0, v687:0, v688:0, v689:0, v690:0, v695:0, 1, 1 + v807:0, v693:0, 1 + v693:0, v807:0, v698:0, 1 + v698:0, v699:0, v700:0, v701:0, v702:0, v703:0, v704:0, v705:0, 0, 3, 100, 101, 4) :|: v693:0 < 101 && v695:0 <= 1 + v807:0 && v698:0 > 0
Filtered unneeded arguments:
   f_376(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) -> f_376(x10, x14, x15, x17)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_376(v693:0, v695:0, sum~cons_1~v807:0, v698:0) -> f_376(v695:0, 1 + v693:0, v807:0, 1 + v698:0) :|: v695:0 <= 1 + v807:0 && v698:0 > 0 && v693:0 < 101 && sum~cons_1~v807:0 = 1 + v807:0

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

(8)
Obligation:
Rules:
f_376(v693:0, v695:0, sum~cons_1~v807:0, v698:0) -> f_376(v695:0, 1 + v693:0, v807:0, 1 + v698:0) :|: v695:0 <= 1 + v807:0 && v698:0 > 0 && v693:0 < 101 && sum~cons_1~v807:0 = 1 + v807:0

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

(10)
Obligation:
Rules:
f_376(v693:0:0, v695:0:0, sum~cons_1~v807:0:0, v698:0:0) -> f_376(v695:0:0, 1 + v693:0:0, v807:0:0, 1 + v698:0:0) :|: v695:0:0 <= 1 + v807:0:0 && v698:0:0 > 0 && v693:0:0 < 101 && sum~cons_1~v807:0:0 = 1 + v807:0:0

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

(11) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_376 ] = -1/2*f_376_1 + -1/2*f_376_2 + 1/2*f_376_3

The following rules are decreasing:
f_376(v693:0:0, v695:0:0, sum~cons_1~v807:0:0, v698:0:0) -> f_376(v695:0:0, 1 + v693:0:0, v807:0:0, 1 + v698:0:0) :|: v695:0:0 <= 1 + v807:0:0 && v698:0:0 > 0 && v693:0:0 < 101 && sum~cons_1~v807:0:0 = 1 + v807:0:0

The following rules are bounded:
f_376(v693:0:0, v695:0:0, sum~cons_1~v807:0:0, v698:0:0) -> f_376(v695:0:0, 1 + v693:0:0, v807:0:0, 1 + v698:0:0) :|: v695:0:0 <= 1 + v807:0:0 && v698:0:0 > 0 && v693:0:0 < 101 && sum~cons_1~v807:0:0 = 1 + v807:0:0


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(12)
YES