/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files


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


NO
proof of /export/starexec/sandbox/benchmark/theBenchmark.c
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given C Problem could be disproven:

(0) C Problem
(1) CToLLVMProof [EQUIVALENT, 80 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1421 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms]
(6) LLVM Symbolic Execution Lasso
(7) Lasso2IRS [EQUIVALENT, 62 ms]
(8) IntTRS
(9) IRS2T2 [EQUIVALENT, 0 ms]
(10) T2IntSys
(11) T2 [COMPLETE, 1065 ms]
(12) NO


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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: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "rec" linkageType: EXTERNALLY_VISIBLE returnParam: BasicVoidType parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		store %x, %1
		store %y, %2
		%3 = load %1
		%4 = icmp sle %3 23
		br %4, %5, %14
	5:
		%6 = load %1
		%7 = icmp sge %6 -42
		br %7, %8, %14
	8:
		%9 = load %2
		%10 = mul 2 %9
		%11 = sub %10 2
		%12 = load %1
		%13 = add %12 1
		Unnamed Call-Instruction = call BasicVoidType @rec(i32 %11, i32 %13)
		br %14
	14:
		ret void

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%n = alloca i32, align 4
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %n
		%3 = load %n
		%4 = load %n
		%5 = add %4 1
		Unnamed Call-Instruction = call BasicVoidType @rec(i32 %3, i32 %5)
		ret 0


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) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
Converted SEGraph to 1 independent lasso.
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(6)
Obligation:
Lasso
----------------------------------------

(7) Lasso2IRS (EQUIVALENT)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 32 rulesP rules:
f_159(v75, v76, v83, v77, v78, v79, v80, v84, 0, v82, 3, 1, 4) -> f_160(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) :|: 1 <= v85 && v86 = 3 + v85 && 4 <= v86
f_160(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) -> f_161(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) :|: TRUE
f_161(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) -> f_162(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) :|: TRUE
f_162(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) -> f_163(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) :|: 0 = 0
f_163(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) -> f_164(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 1, 4) :|: v75 <= 23
f_164(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 1, 4) -> f_166(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) :|: 0 = 0
f_166(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) -> f_168(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) :|: TRUE
f_168(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) -> f_170(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) :|: 0 = 0
f_170(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) -> f_172(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) :|: 0 <= 42 + v75
f_172(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) -> f_175(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) :|: 0 = 0
f_175(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) -> f_177(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) :|: TRUE
f_177(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) -> f_179(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) :|: 0 = 0
f_179(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) -> f_181(v75, v76, v83, v85, 1, v111, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) :|: v111 = 2 * v76
f_181(v75, v76, v83, v85, 1, v111, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) -> f_183(v75, v76, v83, v85, 1, v111, v112, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) :|: 2 + v112 = v111
f_183(v75, v76, v83, v85, 1, v111, v112, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) -> f_184(v75, v76, v83, v85, 1, v111, v112, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) :|: 0 = 0
f_184(v75, v76, v83, v85, 1, v111, v112, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) -> f_185(v75, v76, v83, v85, 1, v111, v112, v113, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4, 41, 24) :|: v113 = 1 + v75 && 0 <= 41 + v113 && v113 <= 24
f_185(v75, v76, v83, v85, 1, v111, v112, v113, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4, 41, 24) -> f_186(v112, v113, v77, v78, v79, v80, v83, v84, v85, v86, 0, v82, v75, v76, 1, v111, 3, 2, 42, 23, 4, 41, 24) :|: 0 = 0
f_186(v112, v113, v77, v78, v79, v80, v83, v84, v85, v86, 0, v82, v75, v76, 1, v111, 3, 2, 42, 23, 4, 41, 24) -> f_187(v112, v113, v77, v78, v79, v80, v83, v84, v85, v86, 0, v82, v75, v76, 3, 1, 2, 42, 23, 4, 41, 24) :|: TRUE
f_187(v112, v113, v77, v78, v79, v80, v83, v84, v85, v86, 0, v82, v75, v76, 3, 1, 2, 42, 23, 4, 41, 24) -> f_158(v112, v113, v77, v78, v79, v80, 0, v82, 3, 1, 4) :|: TRUE
f_158(v75, v76, v77, v78, v79, v80, 0, v82, 3, 1, 4) -> f_159(v75, v76, v83, v77, v78, v79, v80, v84, 0, v82, 3, 1, 4) :|: 1 <= v83 && v84 = 3 + v83 && 4 <= v84
f_88 -> f_89(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
f_89(v1, v2, 3, 1, 4) -> f_90(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4
f_90(v1, v3, v2, v4, 3, 1, 4) -> f_91(v1, v3, v2, v4, 0, 3, 1, 4) :|: TRUE
f_91(v1, v3, v2, v4, 0, 3, 1, 4) -> f_92(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE
f_92(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_93(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE
f_93(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_94(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: 0 = 0
f_94(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_95(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: 0 = 0
f_95(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_96(v1, v3, v5, v7, v2, v4, 0, 3, 1, 4) :|: v7 = 1 + v5
f_96(v1, v3, v5, v7, v2, v4, 0, 3, 1, 4) -> f_97(v5, v7, v1, v2, v3, v4, 0, 3, 1, 4) :|: 0 = 0
f_97(v5, v7, v1, v2, v3, v4, 0, 3, 1, 4) -> f_98(v5, v7, v1, v2, v3, v4, 0, 3, 1, 4) :|: TRUE
f_98(v5, v7, v1, v2, v3, v4, 0, 3, 1, 4) -> f_128(v5, v7, v1, v2, v3, v4, 0, v5, 3, 1, 4) :|: TRUE
f_128(v36, v37, v38, v39, v40, v41, 0, v43, 3, 1, 4) -> f_158(v36, v37, v38, v39, v40, v41, 0, v43, 3, 1, 4) :|: TRUE
Combined rules. Obtained 2 rulesP rules:
f_88 -> f_159(v5:0, 1 + v5:0, v83:0, v1:0, 3 + v1:0, v3:0, 3 + v3:0, 3 + v83:0, 0, v5:0, 3, 1, 4) :|: v3:0 > 0 && v1:0 > 0 && v83:0 > 0
f_159(v75:0, v76:0, v83:0, v77:0, v78:0, v79:0, v80:0, v84:0, 0, v82:0, 3, 1, 4) -> f_159(v112:0, 1 + v75:0, v83:1, v77:0, v78:0, v79:0, v80:0, 3 + v83:1, 0, v82:0, 3, 1, 4) :|: v85:0 > 0 && v75:0 < 24 && v75:0 > -43 && 2 + v112:0 = 2 * v76:0 && v83:1 > 0
Filtered unneeded arguments:
   f_159(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f_159(x1, x2)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_88 -> f_159(v5:0, 1 + v5:0) :|: TRUE
f_159(v75:0, v76:0) -> f_159(v112:0, 1 + v75:0) :|: v75:0 > -43 && 2 + v112:0 = 2 * v76:0 && v75:0 < 24

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(8)
Obligation:
Rules:
f_88 -> f_159(v5:0, 1 + v5:0) :|: TRUE
f_159(v75:0, v76:0) -> f_159(v112:0, 1 + v75:0) :|: v75:0 > -43 && 2 + v112:0 = 2 * v76:0 && v75:0 < 24
Start term: f_88

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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_88_2,1)
   (f_159_2,2)

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(10)
Obligation:
START: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := nondet();
assume(0 = 0);
x0 := oldX2;
x1 := 1 + oldX2;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := nondet();
assume(oldX0 > -43 && 2 + oldX2 = 2 * oldX1 && oldX0 < 24);
x0 := oldX2;
x1 := 1 + oldX0;
TO: 2;


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(11) T2 (COMPLETE)
Found this recurrent set for cutpoint 5: oldX0 == 0 and oldX2 == 0 and x0 == 0 and x1 == 1

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(12)
NO