/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 1795 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 82 ms]
(8) IntTRS
(9) PolynomialOrderProcessor [EQUIVALENT, 11 ms]
(10) 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.
----------------------------------------

(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: "f" 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
		%flag = alloca i32, align 4
		%c = alloca i32, align 4
		store %x, %1
		store %y, %2
		store 1, %flag
		store 0, %c
		br %3
	3:
		%4 = load %flag
		%5 = icmp ne %4 0
		br %5, %6, %14
	6:
		%7 = load %1
		%8 = add %7 1
		store %8, %1
		%9 = load %2
		%10 = icmp slt %7 %9
		%11 = zext i1 %10 to i32
		store %11, %flag
		%12 = load %c
		%13 = add %12 1
		store %13, %c
		br %3
	14:
		%15 = load %c
		ret %15

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


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.
----------------------------------------

(4)
Obligation:
SE Graph
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(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 16 rulesP rules:
f_255(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_256(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
f_256(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_257(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: TRUE
f_257(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_258(v168, v169, v170, v171, v172, v173, 1, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
f_258(v168, v169, v170, v171, v172, v173, 1, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_259(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: v186 = 1 + v176
f_259(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_260(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: TRUE
f_260(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_261(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
f_261(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_262(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: v176 < v169
f_262(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_264(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
f_264(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_266(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
f_266(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_268(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: TRUE
f_268(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_270(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
f_270(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_272(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) :|: v188 = 1 + v178 && 2 <= v188
f_272(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) -> f_274(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) :|: TRUE
f_274(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) -> f_276(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) :|: TRUE
f_276(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) -> f_254(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: TRUE
f_254(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_255(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_255(v168:0, v169:0, v170:0, v171:0, v172:0, v173:0, 1, v175:0, v176:0, v177:0, v178:0, v179:0, v180:0, v181:0, v182:0, v183:0, v184:0, 0, 3, 4) -> f_255(v168:0, v169:0, v170:0, v171:0, v172:0, v173:0, 1, v176:0, 1 + v176:0, v178:0, 1 + v178:0, v179:0, v180:0, v181:0, v182:0, v183:0, v184:0, 0, 3, 4) :|: v178:0 > 0 && v176:0 < v169:0
Filtered unneeded arguments:
   f_255(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_255(x2, x9, x11)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_255(v169:0, v176:0, v178:0) -> f_255(v169:0, 1 + v176:0, 1 + v178:0) :|: v178:0 > 0 && v176:0 < v169:0

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(8)
Obligation:
Rules:
f_255(v169:0, v176:0, v178:0) -> f_255(v169:0, 1 + v176:0, 1 + v178:0) :|: v178:0 > 0 && v176:0 < v169:0

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(9) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_255(x, x1, x2)] = x - x1

The following rules are decreasing:
f_255(v169:0, v176:0, v178:0) -> f_255(v169:0, 1 + v176:0, 1 + v178:0) :|: v178:0 > 0 && v176:0 < v169:0
The following rules are bounded:
f_255(v169:0, v176:0, v178:0) -> f_255(v169:0, 1 + v176:0, 1 + v178:0) :|: v178:0 > 0 && v176:0 < v169:0

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(10)
YES