/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 173 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 682 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms]
(6) LLVM Symbolic Execution Lasso
(7) Lasso2IRS [SOUND, 79 ms]
(8) IntTRS
(9) IRS2T2 [EQUIVALENT, 0 ms]
(10) T2IntSys
(11) T2 [EQUIVALENT, 1023 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: false visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "malloc" returnParam: *i8 parameters: (i64) variableLength: false visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "__VERIFIER_nondet_String" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%length = alloca i32, align 4
		%nondetString = alloca *i8, align 8
		%1 = call i32 @__VERIFIER_nondet_int()
		store %1, %length
		%2 = load %length
		%3 = icmp slt %2 1
		br %3, %4, %5
	4:
		store 1, %length
		br %5
	5:
		%6 = load %length
		%7 = sext i32 %6 to i64
		%8 = mul %7 1
		%9 = call *i8 @malloc(i64 %8)
		store %9, %nondetString
		%10 = load %length
		%11 = sub %10 1
		%12 = sext i32 %11 to i64
		%13 = load %nondetString
		%14 = getelementptr %13, %12
		store 0, %14
		%15 = load %nondetString
		ret %15

*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
		store 0, %1
		%2 = call *i8 @__VERIFIER_nondet_String()
		%3 = call i32 @cstrlen(*i8 %2)
		ret %3


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) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
Converted SEGraph to 1 independent lasso.
----------------------------------------

(6)
Obligation:
Lasso
----------------------------------------

(7) Lasso2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 33 rulesP rules:
f_218(v38, v39, v40, v44, v42, 1, v41, v45, v46, v47, v48, v49, v50, 0, 3, 7, 2, 4, 8) -> f_219(v38, v39, v40, v44, v52, v42, 1, v41, v45, v46, v47, v48, v49, v50, 0, 3, 7, 2, 4, 8) :|: TRUE
f_219(v38, v39, v40, v44, v52, v42, 1, v41, v45, v46, v47, v48, v49, v50, 0, 3, 7, 2, 4, 8) -> f_220(v38, v39, v40, v44, v52, 1, v41, v45, v46, v47, v48, v49, v50, v42, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_220(v38, v39, v40, v44, v52, 1, v41, v45, v46, v47, v48, v49, v50, v42, 0, 3, 7, 2, 4, 8) -> f_221(v38, v39, v40, v44, v52, 1, v41, v45, v46, v47, v48, v49, v50, v42, 0, 3, 7, 2, 4, 8) :|: v52 != 0 && v44 < v47 && 3 <= v47
f_221(v38, v39, v40, v44, v52, 1, v41, v45, v46, v47, v48, v49, v50, v42, 0, 3, 7, 2, 4, 8) -> f_223(v38, v39, v40, v44, v52, 1, v41, v45, v46, v47, v48, v49, v50, v42, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_223(v38, v39, v40, v44, v52, 1, v41, v45, v46, v47, v48, v49, v50, v42, 0, 3, 7, 2, 4, 8) -> f_225(v38, v39, v40, v44, v52, 1, v41, v45, v46, v47, v48, v49, v50, v42, 0, 3, 7, 2, 4, 8) :|: TRUE
f_225(v38, v39, v40, v44, v52, 1, v41, v45, v46, v47, v48, v49, v50, v42, 0, 3, 7, 2, 4, 8) -> f_227(v38, v39, v40, v44, v52, 1, v45, v46, v47, v48, v49, v50, v41, v42, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_227(v38, v39, v40, v44, v52, 1, v45, v46, v47, v48, v49, v50, v41, v42, 0, 3, 7, 2, 4, 8) -> f_229(v38, v39, v40, v44, v52, 1, v54, v45, v46, v47, v48, v49, v50, v41, v42, 0, 3, 7, 2, 4, 8) :|: v54 = 1 + v44 && 3 <= v54
f_229(v38, v39, v40, v44, v52, 1, v54, v45, v46, v47, v48, v49, v50, v41, v42, 0, 3, 7, 2, 4, 8) -> f_231(v38, v39, v40, v44, v52, 1, v54, v45, v46, v47, v48, v49, v50, v41, v42, 0, 3, 7, 2, 4, 8) :|: TRUE
f_231(v38, v39, v40, v44, v52, 1, v54, v45, v46, v47, v48, v49, v50, v41, v42, 0, 3, 7, 2, 4, 8) -> f_233(v38, v39, v40, v44, v52, 1, v54, v45, v46, v47, v48, v49, v50, v41, v42, 0, 3, 7, 2, 4, 8) :|: TRUE
f_233(v38, v39, v40, v44, v52, 1, v54, v45, v46, v47, v48, v49, v50, v41, v42, 0, 3, 7, 2, 4, 8) -> f_217(v38, v39, v40, v44, v52, 1, v54, v45, v46, v47, v48, v49, v50, 0, 3, 7, 2, 4, 8) :|: TRUE
f_217(v38, v39, v40, v41, v42, 1, v44, v45, v46, v47, v48, v49, v50, 0, 3, 7, 2, 4, 8) -> f_218(v38, v39, v40, v44, v42, 1, v41, v45, v46, v47, v48, v49, v50, 0, 3, 7, 2, 4, 8) :|: 0 = 0
f_153 -> f_154(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
f_154(v1, v2, 3, 1, 4) -> f_155(v1, v2, 0, 3, 1, 4) :|: TRUE
f_155(v1, v2, 0, 3, 1, 4) -> f_156(v1, v3, v2, v4, 0, 3, 1, 4) :|: TRUE
f_156(v1, v3, v2, v4, 0, 3, 1, 4) -> f_157(v3, v1, v2, v4, 0, 3, 1, 4) :|: 0 = 0
f_157(v3, v1, v2, v4, 0, 3, 1, 4) -> f_158(v3, v5, v1, v2, v4, v6, 0, 3, 7, 1, 4, 8) :|: 1 <= v5 && v6 = 7 + v5 && 8 <= v6
f_158(v3, v5, v1, v2, v4, v6, 0, 3, 7, 1, 4, 8) -> f_159(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) :|: 1 <= v7 && v8 = 7 + v7 && 8 <= v8
f_159(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) -> f_160(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) :|: TRUE
f_160(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) -> f_161(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) :|: 0 = 0
f_161(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) -> f_162(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) :|: TRUE
f_162(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) -> f_163(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) :|: TRUE
f_163(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) -> f_164(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) :|: 0 = 0
f_164(v3, v5, v7, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) -> f_165(v3, v5, v7, v11, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) :|: TRUE
f_165(v3, v5, v7, v11, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) -> f_166(v3, v5, v7, v11, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) :|: 0 = 0
f_166(v3, v5, v7, v11, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 8) -> f_167(v3, v5, v7, v11, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 2, 8) :|: v11 != 0 && v3 < v4 && 2 <= v4
f_167(v3, v5, v7, v11, v1, v2, v4, v6, v8, 0, 3, 7, 1, 4, 2, 8) -> f_169(v3, v5, v7, v11, 1, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) :|: 0 = 0
f_169(v3, v5, v7, v11, 1, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) -> f_171(v3, v5, v7, v11, 1, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) :|: TRUE
f_171(v3, v5, v7, v11, 1, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) -> f_173(v3, v5, v7, v11, 1, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) :|: 0 = 0
f_173(v3, v5, v7, v11, 1, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) -> f_175(v3, v5, v7, v11, 1, v13, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) :|: v13 = 1 + v3 && 2 <= v13
f_175(v3, v5, v7, v11, 1, v13, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) -> f_177(v3, v5, v7, v11, 1, v13, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) :|: TRUE
f_177(v3, v5, v7, v11, 1, v13, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) -> f_179(v3, v5, v7, v11, 1, v13, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) :|: TRUE
f_179(v3, v5, v7, v11, 1, v13, v1, v2, v4, v6, v8, 0, 3, 7, 4, 2, 8) -> f_200(v3, v5, v7, v3, v11, 1, v13, v1, v2, v4, v6, v8, v11, 0, 3, 7, 2, 4, 8) :|: TRUE
f_200(v20, v21, v22, v23, v24, 1, v26, v27, v28, v29, v30, v31, v32, 0, 3, 7, 2, 4, 8) -> f_217(v20, v21, v22, v23, v24, 1, v26, v27, v28, v29, v30, v31, v32, 0, 3, 7, 2, 4, 8) :|: TRUE
Combined rules. Obtained 4 rulesP rules:
f_218(v38:0, v39:0, v40:0, v44:0, v42:0, 1, v41:0, v45:0, v46:0, v47:0, v48:0, v49:0, v50:0, 0, 3, 7, 2, 4, 8) -> f_218(v38:0, v39:0, v40:0, 1 + v44:0, v52:0, 1, v44:0, v45:0, v46:0, v47:0, v48:0, v49:0, v50:0, 0, 3, 7, 2, 4, 8) :|: v47:0 > v44:0 && v52:0 < 0 && v44:0 > 1 && v47:0 > 2
f_218(v38:0, v39:0, v40:0, v44:0, v42:0, 1, v41:0, v45:0, v46:0, v47:0, v48:0, v49:0, v50:0, 0, 3, 7, 2, 4, 8) -> f_218(v38:0, v39:0, v40:0, 1 + v44:0, v52:0, 1, v44:0, v45:0, v46:0, v47:0, v48:0, v49:0, v50:0, 0, 3, 7, 2, 4, 8) :|: v47:0 > v44:0 && v52:0 > 0 && v44:0 > 1 && v47:0 > 2
f_153 -> f_218(v3:0, v5:0, v7:0, 1 + v3:0, v11:0, 1, v3:0, v1:0, 3 + v1:0, v4:0, 7 + v5:0, 7 + v7:0, v11:0, 0, 3, 7, 2, 4, 8) :|: v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v4:0 > v3:0 && v11:0 < 0 && v3:0 > 0 && v4:0 > 1
f_153 -> f_218(v3:0, v5:0, v7:0, 1 + v3:0, v11:0, 1, v3:0, v1:0, 3 + v1:0, v4:0, 7 + v5:0, 7 + v7:0, v11:0, 0, 3, 7, 2, 4, 8) :|: v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v4:0 > v3:0 && v11:0 > 0 && v3:0 > 0 && v4:0 > 1
Filtered unneeded arguments:
   f_218(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_218(x4, x10)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_218(v44:0, v47:0) -> f_218(1 + v44:0, v47:0) :|: v44:0 > 1 && v47:0 > 2 && v47:0 > v44:0
f_153 -> f_218(1 + v3:0, v4:0) :|: v3:0 > 0 && v4:0 > 1 && v4:0 > v3:0

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

(8)
Obligation:
Rules:
f_218(v44:0, v47:0) -> f_218(1 + v44:0, v47:0) :|: v44:0 > 1 && v47:0 > 2 && v47:0 > v44:0
f_153 -> f_218(1 + v3:0, v4:0) :|: v3:0 > 0 && v4:0 > 1 && v4:0 > v3:0
Start term: f_153

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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_218_2,1)
   (f_153_2,2)

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(10)
Obligation:
START: 2;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
assume(oldX0 > 1 && oldX1 > 2 && oldX1 > oldX0);
x0 := 1 + oldX0;
x1 := oldX1;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := nondet();
oldX3 := nondet();
assume(oldX2 > 0 && oldX3 > 1 && oldX3 > oldX2);
x0 := 1 + oldX2;
x1 := oldX3;
TO: 1;


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(11) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 1, 3, 4 using the following rank functions:
    - Rank function 1:
      RF for loc. 5: 1-2*x0+2*x1
      RF for loc. 6: -2*x0+2*x1
      Bound for (chained) transitions 3: 2
      Bound for (chained) transitions 4: 2
    - Rank function 2:
      RF for loc. 5: 0
      RF for loc. 6: -1
      Bound for (chained) transitions 1: 0

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(12)
YES