/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 180 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1304 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) LLVM Symbolic Execution SCC
(7) SCC2IRS [SOUND, 43 ms]
(8) IntTRS
(9) IRS2T2 [EQUIVALENT, 0 ms]
(10) T2IntSys
(11) T2 [EQUIVALENT, 1232 ms]
(12) YES


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(0)
Obligation:
c file /export/starexec/sandbox2/benchmark/theBenchmark.c
----------------------------------------

(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: 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
		%z = 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
		%4 = call i32 (...)* @__VERIFIER_nondet_int()
		store %4, %z
		br %5
	5:
		%6 = load %x
		%7 = icmp sgt %6 0
		br %7, %8, %17
	8:
		%9 = load %x
		%10 = load %y
		%11 = add %9 %10
		store %11, %x
		%12 = load %y
		%13 = load %z
		%14 = add %12 %13
		store %14, %y
		%15 = load %z
		%16 = add %15 -1
		store %16, %z
		br %5
	17:
		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
----------------------------------------

(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_159(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_160(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 < v62
f_160(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_162(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
f_162(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_164(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
f_164(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_166(v52, v53, v54, v55, v56, v57, v58, v62, 1, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
f_166(v52, v53, v54, v55, v56, v57, v58, v62, 1, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_167(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
f_167(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) -> f_168(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) :|: v71 = v62 + v64
f_168(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) -> f_169(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
f_169(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) -> f_170(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v63, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
f_170(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v63, v65, v66, v67, v68, v69, 0, 3, 4) -> f_171(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v63, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
f_171(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v63, v66, v67, v68, v69, 0, 3, 4) -> f_172(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 4) :|: v73 = v64 + v65
f_172(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 4) -> f_173(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
f_173(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 4) -> f_174(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
f_174(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v66, v67, v68, v69, 0, 3, 4) -> f_175(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) :|: 1 + v75 = v65
f_175(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) -> f_176(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
f_176(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) -> f_177(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
f_177(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) -> f_158(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
f_158(v52, v53, v54, v55, v56, v57, v58, v59, 1, v61, v62, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_159(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_159(v52:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v62:0, 1, v59:0, v61:0, v63:0, v64:0, 1 + v75:0, v66:0, v67:0, v68:0, v69:0, 0, 3, 4) -> f_159(v52:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v62:0 + v64:0, 1, v62:0, v64:0, 1 + v75:0, v64:0 + (1 + v75:0), v75:0, v66:0, v67:0, v68:0, v69:0, 0, 3, 4) :|: v62:0 > 0
Filtered unneeded arguments:
   f_159(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_159(x8, x13, x14)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_159(v62:0, v64:0, sum~cons_1~v75:0) -> f_159(v62:0 + v64:0, v64:0 + (1 + v75:0), v75:0) :|: v62:0 > 0 && sum~cons_1~v75:0 = 1 + v75:0

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

(8)
Obligation:
Rules:
f_159(v62:0, v64:0, sum~cons_1~v75:0) -> f_159(v62:0 + v64:0, v64:0 + (1 + v75:0), v75:0) :|: v62:0 > 0 && sum~cons_1~v75:0 = 1 + v75:0

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(9) IRS2T2 (EQUIVALENT)
Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:

   (f_159_3,1)

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(10)
Obligation:
START: 0;

FROM: 0;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := oldX2 - 1;
assume(oldX0 > 0 && oldX2 = 1 + oldX3);
x0 := oldX0 + oldX1;
x1 := oldX1 + (1 + oldX3);
x2 := oldX2 - 1;
TO: 1;


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(11) T2 (EQUIVALENT)
No proof given by T2
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(12)
YES