/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 180 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1705 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) LLVM Symbolic Execution SCC
        (8) SCC2IRS [SOUND, 46 ms]
        (9) IntTRS
        (10) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (11) IntTRS
        (12) PolynomialOrderProcessor [EQUIVALENT, 12 ms]
        (13) YES
    (14) LLVM Symbolic Execution SCC
        (15) SCC2IRS [SOUND, 64 ms]
        (16) IntTRS
        (17) IntTRSCompressionProof [EQUIVALENT, 1 ms]
        (18) IntTRS
        (19) RankingReductionPairProof [EQUIVALENT, 8 ms]
        (20) 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: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%y = alloca i32, align 4
		%z = alloca i32, align 4
		%x = alloca i32, align 4
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %y
		%3 = call i32 @__VERIFIER_nondet_int()
		store %3, %z
		%4 = call i32 @__VERIFIER_nondet_int()
		%5 = icmp ne %4 0
		br %5, %6, %7
	6:
		store 1, %x
		br %8
	7:
		store -1, %x
		br %8
	8:
		br %9
	9:
		%10 = load %y
		%11 = icmp slt %10 100
		br %11, %12, %15
	12:
		%13 = load %z
		%14 = icmp slt %13 100
		br %15
	15:
		%16 = phi [0, %9], [%14, %12]
		br %16, %17, %24
	17:
		%18 = load %y
		%19 = load %x
		%20 = add %18 %19
		store %20, %y
		%21 = load %z
		%22 = load %x
		%23 = sub %21 %22
		store %23, %z
		br %9
	24:
		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 2 SCCs.
----------------------------------------

(6)
Complex Obligation (AND)

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

(7)
Obligation:
SCC
----------------------------------------

(8) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 18 rulesP rules:
f_272(v715, v716, v717, v718, v719, v720, 0, v726, 1, v724, v722, -1, v727, v728, v729, v730, v731, 3, 99, 98, 100, 4) -> f_275(v715, v716, v717, v718, v719, v720, 0, v726, 1, v724, v722, -1, v727, v728, v729, v730, v731, 3, 99, 98, 100, 4) :|: 0 = 0
f_275(v715, v716, v717, v718, v719, v720, 0, v726, 1, v724, v722, -1, v727, v728, v729, v730, v731, 3, 99, 98, 100, 4) -> f_278(v715, v716, v717, v718, v719, v720, 0, v726, 1, v724, v722, -1, v727, v728, v729, v730, v731, 3, 99, 98, 100, 4) :|: TRUE
f_278(v715, v716, v717, v718, v719, v720, 0, v726, 1, v724, v722, -1, v727, v728, v729, v730, v731, 3, 99, 98, 100, 4) -> f_281(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 100, 4) :|: 0 = 0
f_281(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 100, 4) -> f_284(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) :|: v727 < 100 && v724 <= 98 && v720 <= 98
f_284(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) -> f_287(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) :|: 0 = 0
f_287(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) -> f_290(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) :|: 0 = 0
f_290(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) -> f_293(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) :|: TRUE
f_293(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, v722, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) -> f_296(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) :|: 0 = 0
f_296(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) -> f_298(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) :|: 0 = 0
f_298(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v724, v728, v729, v730, v731, 3, 99, 98, 4) -> f_300(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v724, v728, v729, v730, v731, 3, 99, 98, 4, 97) :|: 1 + v958 = v726 && v958 <= 97
f_300(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v724, v728, v729, v730, v731, 3, 99, 98, 4, 97) -> f_302(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v724, v728, v729, v730, v731, 3, 99, 98, 4, 97) :|: TRUE
f_302(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v724, v728, v729, v730, v731, 3, 99, 98, 4, 97) -> f_304(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v728, v729, v730, v731, 3, 99, 98, 4, 97) :|: 0 = 0
f_304(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v728, v729, v730, v731, 3, 99, 98, 4, 97) -> f_306(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v728, v729, v730, v731, 3, 99, 98, 4, 97) :|: 0 = 0
f_306(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v728, v729, v730, v731, 3, 99, 98, 4, 97) -> f_308(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v962, v728, v729, v730, v731, 3, 99, 98, 4, 97, 100) :|: v962 = 1 + v727 && v962 <= 100
f_308(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v962, v728, v729, v730, v731, 3, 99, 98, 4, 97, 100) -> f_310(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v962, v728, v729, v730, v731, 3, 99, 98, 4, 97, 100) :|: TRUE
f_310(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v962, v728, v729, v730, v731, 3, 99, 98, 4, 97, 100) -> f_312(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v962, v728, v729, v730, v731, 3, 99, 98, 4, 97, 100) :|: TRUE
f_312(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v962, v728, v729, v730, v731, 3, 99, 98, 4, 97, 100) -> f_270(v715, v716, v717, v718, v719, v720, 0, v726, 1, v727, -1, v958, v962, v728, v729, v730, v731, 3, 99, 98, 100, 4) :|: TRUE
f_270(v715, v716, v717, v718, v719, v720, 0, v722, 1, v724, -1, v726, v727, v728, v729, v730, v731, 3, 99, 98, 100, 4) -> f_272(v715, v716, v717, v718, v719, v720, 0, v726, 1, v724, v722, -1, v727, v728, v729, v730, v731, 3, 99, 98, 100, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_272(v715:0, v716:0, v717:0, v718:0, v719:0, v720:0, 0, 1 + v958:0, 1, v724:0, v722:0, -1, v727:0, v728:0, v729:0, v730:0, v731:0, 3, 99, 98, 100, 4) -> f_272(v715:0, v716:0, v717:0, v718:0, v719:0, v720:0, 0, v958:0, 1, v727:0, 1 + v958:0, -1, 1 + v727:0, v728:0, v729:0, v730:0, v731:0, 3, 99, 98, 100, 4) :|: v724:0 < 99 && v727:0 < 100 && v720:0 < 99 && v958:0 < 98
Filtered unneeded arguments:
   f_272(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_272(x6, x8, x10, x13)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_272(v720:0, sum~cons_1~v958:0, v724:0, v727:0) -> f_272(v720:0, v958:0, v727:0, 1 + v727:0) :|: v727:0 < 100 && v724:0 < 99 && v958:0 < 98 && v720:0 < 99 && sum~cons_1~v958:0 = 1 + v958:0

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

(9)
Obligation:
Rules:
f_272(v720:0, sum~cons_1~v958:0, v724:0, v727:0) -> f_272(v720:0, v958:0, v727:0, 1 + v727:0) :|: v727:0 < 100 && v724:0 < 99 && v958:0 < 98 && v720:0 < 99 && sum~cons_1~v958:0 = 1 + v958:0

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

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

(11)
Obligation:
Rules:
f_272(v720:0:0, sum~cons_1~v958:0:0, v724:0:0, v727:0:0) -> f_272(v720:0:0, v958:0:0, v727:0:0, 1 + v727:0:0) :|: v958:0:0 < 98 && v720:0:0 < 99 && v724:0:0 < 99 && v727:0:0 < 100 && sum~cons_1~v958:0:0 = 1 + v958:0:0

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

(12) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_272(x, x1, x2, x3)] = 99 - x3

The following rules are decreasing:
f_272(v720:0:0, sum~cons_1~v958:0:0, v724:0:0, v727:0:0) -> f_272(v720:0:0, v958:0:0, v727:0:0, 1 + v727:0:0) :|: v958:0:0 < 98 && v720:0:0 < 99 && v724:0:0 < 99 && v727:0:0 < 100 && sum~cons_1~v958:0:0 = 1 + v958:0:0
The following rules are bounded:
f_272(v720:0:0, sum~cons_1~v958:0:0, v724:0:0, v727:0:0) -> f_272(v720:0:0, v958:0:0, v727:0:0, 1 + v727:0:0) :|: v958:0:0 < 98 && v720:0:0 < 99 && v724:0:0 < 99 && v727:0:0 < 100 && sum~cons_1~v958:0:0 = 1 + v958:0:0

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

(13)
YES

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

(14)
Obligation:
SCC
----------------------------------------

(15) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 18 rulesP rules:
f_271(v684, v685, v686, v687, v688, v689, v690, 1, v694, v693, v692, v695, v696, v697, v698, v699, 0, 3, 99, 100, 98, 4) -> f_273(v684, v685, v686, v687, v688, v689, v690, 1, v694, v693, v692, v695, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: v694 < 100 && v692 <= 98 && v688 <= 98
f_273(v684, v685, v686, v687, v688, v689, v690, 1, v694, v693, v692, v695, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_276(v684, v685, v686, v687, v688, v689, v690, 1, v694, v693, v692, v695, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: 0 = 0
f_276(v684, v685, v686, v687, v688, v689, v690, 1, v694, v693, v692, v695, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_279(v684, v685, v686, v687, v688, v689, v690, 1, v694, v693, v692, v695, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: TRUE
f_279(v684, v685, v686, v687, v688, v689, v690, 1, v694, v693, v692, v695, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_282(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v692, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: 0 = 0
f_282(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v692, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_286(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v692, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: 0 = 0
f_286(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v692, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_289(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v692, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: 0 = 0
f_289(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v692, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_292(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v692, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: TRUE
f_292(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v692, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_295(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: 0 = 0
f_295(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_297(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) :|: 0 = 0
f_297(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4) -> f_299(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100) :|: v957 = 1 + v694 && v957 <= 100
f_299(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100) -> f_301(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100) :|: TRUE
f_301(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v693, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100) -> f_303(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100) :|: 0 = 0
f_303(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100) -> f_305(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100) :|: 0 = 0
f_305(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100) -> f_307(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v961, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100, 97) :|: 1 + v961 = v695 && v961 <= 97
f_307(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v961, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100, 97) -> f_309(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v961, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100, 97) :|: TRUE
f_309(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v961, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100, 97) -> f_311(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v961, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100, 97) :|: TRUE
f_311(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v961, v696, v697, v698, v699, 0, 3, 98, 99, 4, 100, 97) -> f_268(v684, v685, v686, v687, v688, v689, v690, 1, v694, v695, v957, v961, v696, v697, v698, v699, 0, 3, 99, 100, 98, 4) :|: TRUE
f_268(v684, v685, v686, v687, v688, v689, v690, 1, v692, v693, v694, v695, v696, v697, v698, v699, 0, 3, 99, 100, 98, 4) -> f_271(v684, v685, v686, v687, v688, v689, v690, 1, v694, v693, v692, v695, v696, v697, v698, v699, 0, 3, 99, 100, 98, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_271(v684:0, v685:0, v686:0, v687:0, v688:0, v689:0, v690:0, 1, v694:0, v693:0, v692:0, 1 + v961:0, v696:0, v697:0, v698:0, v699:0, 0, 3, 99, 100, 98, 4) -> f_271(v684:0, v685:0, v686:0, v687:0, v688:0, v689:0, v690:0, 1, 1 + v694:0, 1 + v961:0, v694:0, v961:0, v696:0, v697:0, v698:0, v699:0, 0, 3, 99, 100, 98, 4) :|: v692:0 < 99 && v694:0 < 100 && v688:0 < 99 && v961:0 < 98
Filtered unneeded arguments:
   f_271(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_271(x5, x9, x11, x12)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_271(v688:0, v694:0, v692:0, sum~cons_1~v961:0) -> f_271(v688:0, 1 + v694:0, v694:0, v961:0) :|: v694:0 < 100 && v692:0 < 99 && v961:0 < 98 && v688:0 < 99 && sum~cons_1~v961:0 = 1 + v961:0

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

(16)
Obligation:
Rules:
f_271(v688:0, v694:0, v692:0, sum~cons_1~v961:0) -> f_271(v688:0, 1 + v694:0, v694:0, v961:0) :|: v694:0 < 100 && v692:0 < 99 && v961:0 < 98 && v688:0 < 99 && sum~cons_1~v961:0 = 1 + v961:0

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

(17) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(18)
Obligation:
Rules:
f_271(v688:0:0, v694:0:0, v692:0:0, sum~cons_1~v961:0:0) -> f_271(v688:0:0, 1 + v694:0:0, v694:0:0, v961:0:0) :|: v961:0:0 < 98 && v688:0:0 < 99 && v692:0:0 < 99 && v694:0:0 < 100 && sum~cons_1~v961:0:0 = 1 + v961:0:0

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(19) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_271 ] = -1*f_271_2

The following rules are decreasing:
f_271(v688:0:0, v694:0:0, v692:0:0, sum~cons_1~v961:0:0) -> f_271(v688:0:0, 1 + v694:0:0, v694:0:0, v961:0:0) :|: v961:0:0 < 98 && v688:0:0 < 99 && v692:0:0 < 99 && v694:0:0 < 100 && sum~cons_1~v961:0:0 = 1 + v961:0:0

The following rules are bounded:
f_271(v688:0:0, v694:0:0, v692:0:0, sum~cons_1~v961:0:0) -> f_271(v688:0:0, 1 + v694:0:0, v694:0:0, v961:0:0) :|: v961:0:0 < 98 && v688:0:0 < 99 && v692:0:0 < 99 && v694:0:0 < 100 && sum~cons_1~v961:0:0 = 1 + v961:0:0


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(20)
YES