/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 8977 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 106 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) PolynomialOrderProcessor [EQUIVALENT, 18 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: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%i = alloca *i32, align 8
		%j = alloca *i32, align 8
		store 0, %1
		%2 = alloca i8, numElementsLit: 4
		%3 = bitcast *i8 %2 to *i32
		store %3, %i
		%4 = alloca i8, numElementsLit: 4
		%5 = bitcast *i8 %4 to *i32
		store %5, %j
		%6 = load %j
		store 1, %6
		%7 = load %i
		store 10000, %7
		br %8
	8:
		%9 = load %i
		%10 = load %9
		%11 = load %j
		%12 = load %11
		%13 = sub %10 %12
		%14 = icmp sge %13 1
		br %14, %15, %23
	15:
		%16 = load %j
		%17 = load %16
		%18 = add %17 1
		store %18, %16
		br %19
	19:
		%20 = load %i
		%21 = load %20
		%22 = add %21 -1
		store %22, %20
		br %8
	23:
		%24 = load %1
		ret %24


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 19 rulesP rules:
f_260(v123, v124, v125, v126, v127, v128, v129, v130, 1, v132, v133, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) -> f_261(v123, v124, v125, v126, v127, v133, v129, v130, 1, v132, v128, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) :|: 0 = 0
f_261(v123, v124, v125, v126, v127, v133, v129, v130, 1, v132, v128, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) -> f_262(v123, v124, v125, v126, v127, v133, v129, v130, 1, v132, v128, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) :|: 0 = 0
f_262(v123, v124, v125, v126, v127, v133, v129, v130, 1, v132, v128, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) -> f_263(v123, v124, v125, v126, v127, v133, v132, v130, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) :|: 0 = 0
f_263(v123, v124, v125, v126, v127, v133, v132, v130, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) -> f_264(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8, 9997) :|: v140 + v132 = v133 && 0 <= 9999 + v140 && v140 <= 9997
f_264(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8, 9997) -> f_265(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 9997, 2, 9998, 9999, 8) :|: 1 <= v140 && v132 <= 9998 && 3 <= v133 && v129 <= 9997 && 4 <= v128
f_265(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 9997, 2, 9998, 9999, 8) -> f_267(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 9997, 2, 9998, 9999, 8) :|: 0 = 0
f_267(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 9997, 2, 9998, 9999, 8) -> f_269(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 9997, 2, 9998, 9999, 8) :|: TRUE
f_269(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 9997, 2, 9998, 9999, 8) -> f_271(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 9997, 2, 9998, 9999, 8) :|: 0 = 0
f_271(v123, v124, v125, v126, v127, v133, v132, v140, 1, v129, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 9997, 2, 9998, 9999, 8) -> f_273(v123, v124, v125, v126, v127, v133, v132, v140, 1, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) :|: 0 = 0
f_273(v123, v124, v125, v126, v127, v133, v132, v140, 1, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) -> f_274(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) :|: v141 = 1 + v132 && 3 <= v141 && v141 <= 9999
f_274(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) -> f_275(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) :|: TRUE
f_275(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) -> f_276(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) :|: TRUE
f_276(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) -> f_277(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) :|: 0 = 0
f_277(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v128, v134, v135, v136, v137, v138, 0, 3, 7, 4, 10000, 2, 9998, 9999, 8, 9997) -> f_278(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v134, v135, v136, v137, v138, 0, 3, 7, 2, 9998, 9999, 4, 8, 9997) :|: 0 = 0
f_278(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v134, v135, v136, v137, v138, 0, 3, 7, 2, 9998, 9999, 4, 8, 9997) -> f_279(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v143, v134, v135, v136, v137, v138, 0, 3, 7, 2, 9998, 9999, 4, 8, 9997) :|: 1 + v143 = v133 && 2 <= v143 && v143 <= 9998
f_279(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v143, v134, v135, v136, v137, v138, 0, 3, 7, 2, 9998, 9999, 4, 8, 9997) -> f_280(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v143, v134, v135, v136, v137, v138, 0, 3, 7, 2, 9998, 9999, 4, 8, 9997) :|: TRUE
f_280(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v143, v134, v135, v136, v137, v138, 0, 3, 7, 2, 9998, 9999, 4, 8, 9997) -> f_281(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v143, v134, v135, v136, v137, v138, 0, 3, 7, 2, 9998, 9999, 4, 8, 9997) :|: TRUE
f_281(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v143, v134, v135, v136, v137, v138, 0, 3, 7, 2, 9998, 9999, 4, 8, 9997) -> f_259(v123, v124, v125, v126, v127, v133, v132, v140, 1, v141, v143, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) :|: TRUE
f_259(v123, v124, v125, v126, v127, v128, v129, v130, 1, v132, v133, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) -> f_260(v123, v124, v125, v126, v127, v128, v129, v130, 1, v132, v133, v134, v135, v136, v137, v138, 0, 3, 7, 2, 10000, 9999, 4, 8) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_260(v123:0, v124:0, v125:0, v126:0, v127:0, v128:0, v129:0, v130:0, 1, v132:0, 1 + v143:0, v134:0, v135:0, v136:0, v137:0, v138:0, 0, 3, 7, 2, 10000, 9999, 4, 8) -> f_260(v123:0, v124:0, v125:0, v126:0, v127:0, 1 + v143:0, v132:0, v140:0, 1, 1 + v132:0, v143:0, v134:0, v135:0, v136:0, v137:0, v138:0, 0, 3, 7, 2, 10000, 9999, 4, 8) :|: v140:0 > 0 && v132:0 < 9999 && v143:0 > 1 && v140:0 + v132:0 = 1 + v143:0 && v129:0 < 9998 && v140:0 < 9998 && v128:0 > 3 && v132:0 > 1 && v143:0 < 9999
Filtered unneeded arguments:
   f_260(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24) -> f_260(x6, x7, x10, x11)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_260(v128:0, v129:0, v132:0, sum~cons_1~v143:0) -> f_260(1 + v143:0, v132:0, 1 + v132:0, v143:0) :|: v143:0 > 1 && v132:0 < 9999 && v129:0 < 9998 && v128:0 > 3 && v143:0 < 9999 && v132:0 > 1 && sum~cons_1~v143:0 = 1 + v143:0

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

(8)
Obligation:
Rules:
f_260(v128:0, v129:0, v132:0, sum~cons_1~v143:0) -> f_260(1 + v143:0, v132:0, 1 + v132:0, v143:0) :|: v143:0 > 1 && v132:0 < 9999 && v129:0 < 9998 && v128:0 > 3 && v143:0 < 9999 && v132:0 > 1 && sum~cons_1~v143:0 = 1 + v143:0

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(9) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(10)
Obligation:
Rules:
f_260(v128:0:0, v129:0:0, v132:0:0, sum~cons_1~v143:0:0) -> f_260(1 + v143:0:0, v132:0:0, 1 + v132:0:0, v143:0:0) :|: v143:0:0 < 9999 && v132:0:0 > 1 && v128:0:0 > 3 && v129:0:0 < 9998 && v132:0:0 < 9999 && v143:0:0 > 1 && sum~cons_1~v143:0:0 = 1 + v143:0:0

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(11) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_260(x, x1, x2, x3)] = x3

The following rules are decreasing:
f_260(v128:0:0, v129:0:0, v132:0:0, sum~cons_1~v143:0:0) -> f_260(1 + v143:0:0, v132:0:0, 1 + v132:0:0, v143:0:0) :|: v143:0:0 < 9999 && v132:0:0 > 1 && v128:0:0 > 3 && v129:0:0 < 9998 && v132:0:0 < 9999 && v143:0:0 > 1 && sum~cons_1~v143:0:0 = 1 + v143:0:0
The following rules are bounded:
f_260(v128:0:0, v129:0:0, v132:0:0, sum~cons_1~v143:0:0) -> f_260(1 + v143:0:0, v132:0:0, 1 + v132:0:0, v143:0:0) :|: v143:0:0 < 9999 && v132:0:0 > 1 && v128:0:0 > 3 && v129:0:0 < 9998 && v132:0:0 < 9999 && v143:0:0 > 1 && sum~cons_1~v143:0:0 = 1 + v143:0:0

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(12)
YES