/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 180 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 2199 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, 23 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.
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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: "cstrlen" linkageType: EXTERNALLY_VISIBLE returnParam: i64 parameters: (str *i8) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca *i8, align 8
		%s = alloca *i8, align 8
		store %str, %1
		%2 = load %1
		store %2, %s
		br %3
	3:
		%4 = load %s
		%5 = load %4
		%6 = icmp ne %5 0
		br %6, %7, %11
	7:
		br %8
	8:
		%9 = load %s
		%10 = getelementptr %9, 1
		store %10, %s
		br %3
	11:
		%12 = load %s
		%13 = load %1
		%14 = ptrtoint *i8 %12 to i64
		%15 = ptrtoint *i8 %13 to i64
		%16 = sub %14 %15
		ret %16

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%length1 = alloca i32, align 4
		%nondetString1 = alloca *i8, align 8
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %length1
		%3 = load %length1
		%4 = icmp slt %3 1
		br %4, %5, %6
	5:
		store 1, %length1
		br %6
	6:
		%7 = load %length1
		%8 = sext i32 %7 to i64
		%9 = mul %8 1
		%10 = alloca i8, numElementsLit: %9
		store %10, %nondetString1
		%11 = load %length1
		%12 = sub %11 1
		%13 = sext i32 %12 to i64
		%14 = load %nondetString1
		%15 = getelementptr %14, %13
		store 0, %15
		%16 = load %nondetString1
		%17 = call i64 @cstrlen(*i8 %16)
		%18 = trunc i64 %17 to i32
		ret %18


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
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(7) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 11 rulesP rules:
f_287(v172, v173, v174, v178, v176, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_288(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
f_288(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_289(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: v194 != 0 && v178 < v185 && 4 <= v185
f_289(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_291(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: 0 = 0
f_291(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_293(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
f_293(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_295(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
f_295(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_297(v172, v173, v174, v178, v194, 1, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: 0 = 0
f_297(v172, v173, v174, v178, v194, 1, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_299(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: v220 = 1 + v178 && 4 <= v220
f_299(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_301(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
f_301(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_303(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
f_303(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_286(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
f_286(v172, v173, v174, v175, v176, 1, v178, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_287(v172, v173, v174, v178, v176, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: 0 = 0
Combined rules. Obtained 2 rulesP rules:
f_287(v172:0, v173:0, v174:0, v178:0, v176:0, 1, v175:0, v179:0, v186:0, v180:0, v187:0, v181:0, v188:0, v185:0, v189:0, v190:0, v192:0, 0, v182:0, v191:0, v193:0, v184:0, 3, 7, 2, 4, 8) -> f_287(v172:0, v173:0, v174:0, 1 + v178:0, v194:0, 1, v178:0, v179:0, v186:0, v180:0, v187:0, v181:0, v188:0, v185:0, v189:0, v190:0, v192:0, 0, v182:0, v191:0, v193:0, v184:0, 3, 7, 2, 4, 8) :|: v185:0 > v178:0 && v194:0 < 0 && v178:0 > 2 && v185:0 > 3
f_287(v172:0, v173:0, v174:0, v178:0, v176:0, 1, v175:0, v179:0, v186:0, v180:0, v187:0, v181:0, v188:0, v185:0, v189:0, v190:0, v192:0, 0, v182:0, v191:0, v193:0, v184:0, 3, 7, 2, 4, 8) -> f_287(v172:0, v173:0, v174:0, 1 + v178:0, v194:0, 1, v178:0, v179:0, v186:0, v180:0, v187:0, v181:0, v188:0, v185:0, v189:0, v190:0, v192:0, 0, v182:0, v191:0, v193:0, v184:0, 3, 7, 2, 4, 8) :|: v185:0 > v178:0 && v194:0 > 0 && v178:0 > 2 && v185:0 > 3
Filtered unneeded arguments:
   f_287(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) -> f_287(x4, x14)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_287(v178:0, v185:0) -> f_287(1 + v178:0, v185:0) :|: v178:0 > 2 && v185:0 > 3 && v185:0 > v178:0

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(8)
Obligation:
Rules:
f_287(v178:0, v185:0) -> f_287(1 + v178:0, v185:0) :|: v178:0 > 2 && v185:0 > 3 && v185:0 > v178:0

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(9) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(10)
Obligation:
Rules:
f_287(v178:0:0, v185:0:0) -> f_287(1 + v178:0:0, v185:0:0) :|: v178:0:0 > 2 && v185:0:0 > 3 && v185:0:0 > v178:0:0

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(11) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_287 ] = -1*f_287_1 + f_287_2

The following rules are decreasing:
f_287(v178:0:0, v185:0:0) -> f_287(1 + v178:0:0, v185:0:0) :|: v178:0:0 > 2 && v185:0:0 > 3 && v185:0:0 > v178:0:0

The following rules are bounded:
f_287(v178:0:0, v185:0:0) -> f_287(1 + v178:0:0, v185:0:0) :|: v178:0:0 > 2 && v185:0:0 > 3 && v185:0:0 > v178:0:0


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(12)
YES