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


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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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 179 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1996 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 73 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) PolynomialOrderProcessor [EQUIVALENT, 16 ms]
(12) YES


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(0)
Obligation:
c file /export/starexec/sandbox/benchmark/theBenchmark.c
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(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: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%c = alloca i32, align 4
		store %x, %1
		store %y, %2
		store 0, %c
		br %3
	3:
		%4 = load %1
		%5 = icmp sgt %4 0
		br %5, %6, %9
	6:
		%7 = load %2
		%8 = icmp sgt %7 0
		br %9
	9:
		%10 = phi [0, %3], [%8, %6]
		br %10, %11, %18
	11:
		%12 = load %1
		%13 = sub %12 1
		store %13, %1
		%14 = load %2
		%15 = sub %14 1
		store %15, %2
		%16 = load %c
		%17 = add %16 1
		store %17, %c
		br %3
	18:
		%19 = load %c
		ret %19

*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 @test_fun(i32 %2, i32 %3)
		ret %4


Analyze Termination of all function calls matching the pattern:
main()
----------------------------------------

(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 20 rulesP rules:
f_307(v322, v323, v324, v325, v326, v330, 1, v329, v327, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 4) -> f_308(v322, v323, v324, v325, v326, v330, 1, v329, v327, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 < v330 && 2 <= v327 && 2 <= v322
f_308(v322, v323, v324, v325, v326, v330, 1, v329, v327, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_310(v322, v323, v324, v325, v326, v330, 1, v329, v327, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 = 0
f_310(v322, v323, v324, v325, v326, v330, 1, v329, v327, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_312(v322, v323, v324, v325, v326, v330, 1, v329, v327, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: TRUE
f_312(v322, v323, v324, v325, v326, v330, 1, v329, v327, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_314(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 = 0
f_314(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_316(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 < v331 && 2 <= v329 && 2 <= v323
f_316(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_319(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 = 0
f_319(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_322(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 = 0
f_322(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_324(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: TRUE
f_324(v322, v323, v324, v325, v326, v330, 1, v331, v327, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_326(v322, v323, v324, v325, v326, v330, 1, v331, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 = 0
f_326(v322, v323, v324, v325, v326, v330, 1, v331, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_328(v322, v323, v324, v325, v326, v330, 1, v331, v378, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 1 + v378 = v330 && 0 <= v378
f_328(v322, v323, v324, v325, v326, v330, 1, v331, v378, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_330(v322, v323, v324, v325, v326, v330, 1, v331, v378, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: TRUE
f_330(v322, v323, v324, v325, v326, v330, 1, v331, v378, v329, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_331(v322, v323, v324, v325, v326, v330, 1, v331, v378, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 = 0
f_331(v322, v323, v324, v325, v326, v330, 1, v331, v378, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_332(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 1 + v380 = v331 && 0 <= v380
f_332(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_333(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: TRUE
f_333(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v332, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_334(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: 0 = 0
f_334(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_335(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v382, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: v382 = 1 + v333 && 2 <= v382
f_335(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v382, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_336(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v382, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: TRUE
f_336(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v382, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_337(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v382, v334, v335, v336, v337, v338, 0, 3, 2, 4) :|: TRUE
f_337(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v382, v334, v335, v336, v337, v338, 0, 3, 2, 4) -> f_306(v322, v323, v324, v325, v326, v330, 1, v331, v378, v380, v333, v382, v334, v335, v336, v337, v338, 0, 3, 4) :|: TRUE
f_306(v322, v323, v324, v325, v326, v327, 1, v329, v330, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 4) -> f_307(v322, v323, v324, v325, v326, v330, 1, v329, v327, v331, v332, v333, v334, v335, v336, v337, v338, 0, 3, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_307(v322:0, v323:0, v324:0, v325:0, v326:0, 1 + v378:0, 1, v329:0, v327:0, 1 + v380:0, v332:0, v333:0, v334:0, v335:0, v336:0, v337:0, v338:0, 0, 3, 4) -> f_307(v322:0, v323:0, v324:0, v325:0, v326:0, v378:0, 1, 1 + v380:0, 1 + v378:0, v380:0, v333:0, 1 + v333:0, v334:0, v335:0, v336:0, v337:0, v338:0, 0, 3, 4) :|: v327:0 > 1 && v378:0 > -1 && v322:0 > 1 && v329:0 > 1 && v380:0 > -1 && v323:0 > 1 && v333:0 > 0
Filtered unneeded arguments:
   f_307(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_307(x1, x2, x6, x8, x9, x10, x12)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_307(v322:0, v323:0, sum~cons_1~v378:0, v329:0, v327:0, sum~cons_1~v380:0, v333:0) -> f_307(v322:0, v323:0, v378:0, 1 + v380:0, 1 + v378:0, v380:0, 1 + v333:0) :|: v378:0 > -1 && v327:0 > 1 && v322:0 > 1 && v329:0 > 1 && v380:0 > -1 && v333:0 > 0 && v323:0 > 1 && sum~cons_1~v378:0 = 1 + v378:0 && sum~cons_1~v380:0 = 1 + v380:0

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(8)
Obligation:
Rules:
f_307(v322:0, v323:0, sum~cons_1~v378:0, v329:0, v327:0, sum~cons_1~v380:0, v333:0) -> f_307(v322:0, v323:0, v378:0, 1 + v380:0, 1 + v378:0, v380:0, 1 + v333:0) :|: v378:0 > -1 && v327:0 > 1 && v322:0 > 1 && v329:0 > 1 && v380:0 > -1 && v333:0 > 0 && v323:0 > 1 && sum~cons_1~v378:0 = 1 + v378:0 && sum~cons_1~v380:0 = 1 + v380:0

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

(10)
Obligation:
Rules:
f_307(v322:0:0, v323:0:0, sum~cons_1~v378:0:0, v329:0:0, v327:0:0, sum~cons_1~v380:0:0, v333:0:0) -> f_307(v322:0:0, v323:0:0, v378:0:0, 1 + v380:0:0, 1 + v378:0:0, v380:0:0, 1 + v333:0:0) :|: v333:0:0 > 0 && v323:0:0 > 1 && v380:0:0 > -1 && v329:0:0 > 1 && v322:0:0 > 1 && v327:0:0 > 1 && v378:0:0 > -1 && sum~cons_1~v378:0:0 = 1 + v378:0:0 && sum~cons_1~v380:0:0 = 1 + v380:0:0

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(11) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_307(x, x1, x2, x3, x4, x5, x6)] = x2

The following rules are decreasing:
f_307(v322:0:0, v323:0:0, sum~cons_1~v378:0:0, v329:0:0, v327:0:0, sum~cons_1~v380:0:0, v333:0:0) -> f_307(v322:0:0, v323:0:0, v378:0:0, 1 + v380:0:0, 1 + v378:0:0, v380:0:0, 1 + v333:0:0) :|: v333:0:0 > 0 && v323:0:0 > 1 && v380:0:0 > -1 && v329:0:0 > 1 && v322:0:0 > 1 && v327:0:0 > 1 && v378:0:0 > -1 && sum~cons_1~v378:0:0 = 1 + v378:0:0 && sum~cons_1~v380:0:0 = 1 + v380:0:0
The following rules are bounded:
f_307(v322:0:0, v323:0:0, sum~cons_1~v378:0:0, v329:0:0, v327:0:0, sum~cons_1~v380:0:0, v333:0:0) -> f_307(v322:0:0, v323:0:0, v378:0:0, 1 + v380:0:0, 1 + v378:0:0, v380:0:0, 1 + v333:0:0) :|: v333:0:0 > 0 && v323:0:0 > 1 && v380:0:0 > -1 && v329:0:0 > 1 && v322:0:0 > 1 && v327:0:0 > 1 && v378:0:0 > -1 && sum~cons_1~v378:0:0 = 1 + v378:0:0 && sum~cons_1~v380:0:0 = 1 + v380:0:0

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(12)
YES