/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 2194 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 70 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) RankingReductionPairProof [EQUIVALENT, 15 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: i32 parameters: (s *i8) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca *i8, align 8
		%p = alloca *i8, align 8
		store %s, %1
		%2 = load %1
		store %2, %p
		br %3
	3:
		%4 = load %p
		%5 = load %4
		%6 = sext i8 %5 to i32
		%7 = icmp ne %6 0
		br %7, %8, %11
	8:
		%9 = load %p
		%10 = getelementptr %9, 1
		store %10, %p
		br %3
	11:
		%12 = load %p
		%13 = load %1
		%14 = ptrtoint *i8 %12 to i64
		%15 = ptrtoint *i8 %13 to i64
		%16 = sub %14 %15
		%17 = trunc i64 %16 to i32
		ret %17

*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 i32 @cstrlen(*i8 %16)
		ret %17


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

(7) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 11 rulesP rules:
f_286(v158, v159, v160, v164, v162, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_287(v158, v159, v160, v164, v180, v162, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: TRUE
f_287(v158, v159, v160, v164, v180, v162, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_288(v158, v159, v160, v164, v180, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: 0 = 0
f_288(v158, v159, v160, v164, v180, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_289(v158, v159, v160, v164, v180, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: v180 != 0 && v164 < v171 && 4 <= v171
f_289(v158, v159, v160, v164, v180, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_291(v158, v159, v160, v164, v180, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: 0 = 0
f_291(v158, v159, v160, v164, v180, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_293(v158, v159, v160, v164, v180, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: TRUE
f_293(v158, v159, v160, v164, v180, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_295(v158, v159, v160, v164, v180, 1, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v161, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: 0 = 0
f_295(v158, v159, v160, v164, v180, 1, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v161, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_297(v158, v159, v160, v164, v180, 1, v199, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v161, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: v199 = 1 + v164 && 4 <= v199
f_297(v158, v159, v160, v164, v180, 1, v199, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v161, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_299(v158, v159, v160, v164, v180, 1, v199, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v161, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: TRUE
f_299(v158, v159, v160, v164, v180, 1, v199, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v161, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_301(v158, v159, v160, v164, v180, 1, v199, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v161, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: TRUE
f_301(v158, v159, v160, v164, v180, 1, v199, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, v161, v162, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_285(v158, v159, v160, v164, v180, 1, v199, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: TRUE
f_285(v158, v159, v160, v161, v162, 1, v164, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) -> f_286(v158, v159, v160, v164, v162, 1, v161, v165, v172, v166, v173, v167, v174, v171, v175, v176, v178, 0, v168, v177, v179, v170, 3, 7, 2, 4, 8) :|: 0 = 0
Combined rules. Obtained 2 rulesP rules:
f_286(v158:0, v159:0, v160:0, v164:0, v162:0, 1, v161:0, v165:0, v172:0, v166:0, v173:0, v167:0, v174:0, v171:0, v175:0, v176:0, v178:0, 0, v168:0, v177:0, v179:0, v170:0, 3, 7, 2, 4, 8) -> f_286(v158:0, v159:0, v160:0, 1 + v164:0, v180:0, 1, v164:0, v165:0, v172:0, v166:0, v173:0, v167:0, v174:0, v171:0, v175:0, v176:0, v178:0, 0, v168:0, v177:0, v179:0, v170:0, 3, 7, 2, 4, 8) :|: v171:0 > v164:0 && v180:0 < 0 && v164:0 > 2 && v171:0 > 3
f_286(v158:0, v159:0, v160:0, v164:0, v162:0, 1, v161:0, v165:0, v172:0, v166:0, v173:0, v167:0, v174:0, v171:0, v175:0, v176:0, v178:0, 0, v168:0, v177:0, v179:0, v170:0, 3, 7, 2, 4, 8) -> f_286(v158:0, v159:0, v160:0, 1 + v164:0, v180:0, 1, v164:0, v165:0, v172:0, v166:0, v173:0, v167:0, v174:0, v171:0, v175:0, v176:0, v178:0, 0, v168:0, v177:0, v179:0, v170:0, 3, 7, 2, 4, 8) :|: v171:0 > v164:0 && v180:0 > 0 && v164:0 > 2 && v171:0 > 3
Filtered unneeded arguments:
   f_286(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_286(x4, x14)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_286(v164:0, v171:0) -> f_286(1 + v164:0, v171:0) :|: v164:0 > 2 && v171:0 > 3 && v171:0 > v164:0

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(8)
Obligation:
Rules:
f_286(v164:0, v171:0) -> f_286(1 + v164:0, v171:0) :|: v164:0 > 2 && v171:0 > 3 && v171:0 > v164:0

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(9) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(10)
Obligation:
Rules:
f_286(v164:0:0, v171:0:0) -> f_286(1 + v164:0:0, v171:0:0) :|: v164:0:0 > 2 && v171:0:0 > 3 && v171:0:0 > v164:0:0

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(11) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_286 ] = -1*f_286_1 + f_286_2

The following rules are decreasing:
f_286(v164:0:0, v171:0:0) -> f_286(1 + v164:0:0, v171:0:0) :|: v164:0:0 > 2 && v171:0:0 > 3 && v171:0:0 > v164:0:0

The following rules are bounded:
f_286(v164:0:0, v171:0:0) -> f_286(1 + v164:0:0, v171:0:0) :|: v164:0:0 > 2 && v171:0:0 > 3 && v171:0:0 > v164:0:0


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(12)
YES