/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 1092 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 51 ms]
(8) IntTRS
(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) PolynomialOrderProcessor [EQUIVALENT, 11 ms]
(12) YES


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(0)
Obligation:
c file /export/starexec/sandbox/benchmark/theBenchmark.c
----------------------------------------

(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: true visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%x = alloca i32, align 4
		%y = alloca i32, align 4
		store 0, %1
		%2 = call i32 (...)* @__VERIFIER_nondet_int()
		store %2, %x
		%3 = call i32 (...)* @__VERIFIER_nondet_int()
		store %3, %y
		br %4
	4:
		%5 = load %x
		%6 = icmp sgt %5 0
		br %6, %7, %10
	7:
		%8 = load %y
		%9 = icmp slt %8 0
		br %10
	10:
		%11 = phi [0, %4], [%9, %7]
		br %11, %12, %18
	12:
		%13 = load %x
		%14 = load %y
		%15 = add %13 %14
		store %15, %x
		%16 = load %y
		%17 = add %16 -1
		store %17, %y
		br %4
	18:
		ret 0


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

(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 17 rulesP rules:
f_158(v107, v108, v109, v110, v111, v115, 1, v114, v112, v116, v117, v118, v119, 0, 3, 2, 4) -> f_159(v107, v108, v109, v110, v111, v115, 1, v114, v112, v116, v117, v118, v119, 0, 3, 2, 4) :|: 0 < v115 && 2 <= v112
f_159(v107, v108, v109, v110, v111, v115, 1, v114, v112, v116, v117, v118, v119, 0, 3, 2, 4) -> f_161(v107, v108, v109, v110, v111, v115, 1, v114, v112, v116, v117, v118, v119, 0, 3, 2, 4) :|: 0 = 0
f_161(v107, v108, v109, v110, v111, v115, 1, v114, v112, v116, v117, v118, v119, 0, 3, 2, 4) -> f_163(v107, v108, v109, v110, v111, v115, 1, v114, v112, v116, v117, v118, v119, 0, 3, 2, 4) :|: TRUE
f_163(v107, v108, v109, v110, v111, v115, 1, v114, v112, v116, v117, v118, v119, 0, 3, 2, 4) -> f_165(v107, v108, v109, v110, v111, v115, 1, v116, v112, v114, v117, v118, v119, 0, 3, 2, 4) :|: 0 = 0
f_165(v107, v108, v109, v110, v111, v115, 1, v116, v112, v114, v117, v118, v119, 0, 3, 2, 4) -> f_167(v107, v108, v109, v110, v111, v115, 1, v116, v112, v114, v117, v118, v119, 0, 3, 2, 4) :|: 0 = 0
f_167(v107, v108, v109, v110, v111, v115, 1, v116, v112, v114, v117, v118, v119, 0, 3, 2, 4) -> f_168(v107, v108, v109, v110, v111, v115, 1, v116, v112, v114, v117, v118, v119, 0, 3, 2, 4) :|: 0 = 0
f_168(v107, v108, v109, v110, v111, v115, 1, v116, v112, v114, v117, v118, v119, 0, 3, 2, 4) -> f_169(v107, v108, v109, v110, v111, v115, 1, v116, v112, v114, v117, v118, v119, 0, 3, 2, 4) :|: TRUE
f_169(v107, v108, v109, v110, v111, v115, 1, v116, v112, v114, v117, v118, v119, 0, 3, 2, 4) -> f_170(v107, v108, v109, v110, v111, v115, 1, v116, v114, v117, v118, v119, 0, 3, 2, 4) :|: 0 = 0
f_170(v107, v108, v109, v110, v111, v115, 1, v116, v114, v117, v118, v119, 0, 3, 2, 4) -> f_171(v107, v108, v109, v110, v111, v115, 1, v116, v114, v117, v118, v119, 0, 3, 2, 4) :|: 0 = 0
f_171(v107, v108, v109, v110, v111, v115, 1, v116, v114, v117, v118, v119, 0, 3, 2, 4) -> f_172(v107, v108, v109, v110, v111, v115, 1, v116, v149, v114, v117, v118, v119, 0, 3, 2, 4) :|: v149 = v115 + v116
f_172(v107, v108, v109, v110, v111, v115, 1, v116, v149, v114, v117, v118, v119, 0, 3, 2, 4) -> f_173(v107, v108, v109, v110, v111, v115, 1, v116, v149, v114, v117, v118, v119, 0, 3, 2, 4) :|: TRUE
f_173(v107, v108, v109, v110, v111, v115, 1, v116, v149, v114, v117, v118, v119, 0, 3, 2, 4) -> f_174(v107, v108, v109, v110, v111, v115, 1, v116, v149, v117, v118, v119, 0, 3, 2, 4) :|: 0 = 0
f_174(v107, v108, v109, v110, v111, v115, 1, v116, v149, v117, v118, v119, 0, 3, 2, 4) -> f_175(v107, v108, v109, v110, v111, v115, 1, v116, v149, v151, v117, v118, v119, 0, 3, 2, 4) :|: 1 + v151 = v116 && 3 + v151 <= 0
f_175(v107, v108, v109, v110, v111, v115, 1, v116, v149, v151, v117, v118, v119, 0, 3, 2, 4) -> f_176(v107, v108, v109, v110, v111, v115, 1, v116, v149, v151, v117, v118, v119, 0, 3, 2, 4) :|: TRUE
f_176(v107, v108, v109, v110, v111, v115, 1, v116, v149, v151, v117, v118, v119, 0, 3, 2, 4) -> f_177(v107, v108, v109, v110, v111, v115, 1, v116, v149, v151, v117, v118, v119, 0, 3, 2, 4) :|: TRUE
f_177(v107, v108, v109, v110, v111, v115, 1, v116, v149, v151, v117, v118, v119, 0, 3, 2, 4) -> f_157(v107, v108, v109, v110, v111, v115, 1, v116, v149, v151, v117, v118, v119, 0, 3, 2, 4) :|: TRUE
f_157(v107, v108, v109, v110, v111, v112, 1, v114, v115, v116, v117, v118, v119, 0, 3, 2, 4) -> f_158(v107, v108, v109, v110, v111, v115, 1, v114, v112, v116, v117, v118, v119, 0, 3, 2, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_158(v107:0, v108:0, v109:0, v110:0, v111:0, v115:0, 1, v114:0, v112:0, 1 + v151:0, v117:0, v118:0, v119:0, 0, 3, 2, 4) -> f_158(v107:0, v108:0, v109:0, v110:0, v111:0, v115:0 + (1 + v151:0), 1, 1 + v151:0, v115:0, v151:0, v117:0, v118:0, v119:0, 0, 3, 2, 4) :|: v112:0 > 1 && v151:0 < -2 && v115:0 > 0
Filtered unneeded arguments:
   f_158(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_158(x6, x9, x10)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_158(v115:0, v112:0, sum~cons_1~v151:0) -> f_158(v115:0 + (1 + v151:0), v115:0, v151:0) :|: v151:0 < -2 && v115:0 > 0 && v112:0 > 1 && sum~cons_1~v151:0 = 1 + v151:0

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(8)
Obligation:
Rules:
f_158(v115:0, v112:0, sum~cons_1~v151:0) -> f_158(v115:0 + (1 + v151:0), v115:0, v151:0) :|: v151:0 < -2 && v115:0 > 0 && v112:0 > 1 && sum~cons_1~v151:0 = 1 + v151:0

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

(10)
Obligation:
Rules:
f_158(v115:0:0, v112:0:0, sum~cons_1~v151:0:0) -> f_158(v115:0:0 + (1 + v151:0:0), v115:0:0, v151:0:0) :|: v151:0:0 < -2 && v115:0:0 > 0 && v112:0:0 > 1 && sum~cons_1~v151:0:0 = 1 + v151:0:0

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(11) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_158(x, x1, x2)] = -2 + x - x2

The following rules are decreasing:
f_158(v115:0:0, v112:0:0, sum~cons_1~v151:0:0) -> f_158(v115:0:0 + (1 + v151:0:0), v115:0:0, v151:0:0) :|: v151:0:0 < -2 && v115:0:0 > 0 && v112:0:0 > 1 && sum~cons_1~v151:0:0 = 1 + v151:0:0
The following rules are bounded:
f_158(v115:0:0, v112:0:0, sum~cons_1~v151:0:0) -> f_158(v115:0:0 + (1 + v151:0:0), v115:0:0, v151:0:0) :|: v151:0:0 < -2 && v115:0:0 > 0 && v112:0:0 > 1 && sum~cons_1~v151:0:0 = 1 + v151:0:0

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(12)
YES