/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files


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


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination of the given C Problem could be proven:

(0) C Problem
(1) CToLLVMProof [EQUIVALENT, 174 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 693 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 4 ms]
(6) LLVM Symbolic Execution Lasso
(7) Lasso2IRS [EQUIVALENT, 81 ms]
(8) IntTRS
(9) IRS2T2 [EQUIVALENT, 0 ms]
(10) T2IntSys
(11) T2 [EQUIVALENT, 1163 ms]
(12) YES


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

(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
		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 = load %y
		%7 = icmp sgt %5 %6
		br %7, %8, %20
	8:
		%9 = load %x
		%10 = load %y
		%11 = sub %9 %10
		store %11, %x
		%12 = call i32 (...)* @__VERIFIER_nondet_int()
		store %12, %y
		%13 = load %y
		%14 = icmp slt %13 1
		br %14, %18, %15
	15:
		%16 = load %y
		%17 = icmp sgt %16 2
		br %17, %18, %19
	18:
		br %20
	19:
		br %4
	20:
		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) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
Converted SEGraph to 1 independent lasso.
----------------------------------------

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

(7) Lasso2IRS (EQUIVALENT)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 51 rulesP rules:
f_160(v102, v103, v104, v105, v106, v110, v108, 1, v107, v111, 0, v113, v114, v115, 3, 2, 4) -> f_161(v102, v103, v104, v105, v106, v110, v111, 1, v107, v108, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_161(v102, v103, v104, v105, v106, v110, v111, 1, v107, v108, 0, v113, v114, v115, 3, 2, 4) -> f_162(v102, v103, v104, v105, v106, v110, v111, 1, v107, v108, 0, v113, v114, v115, 3, 2, 4) :|: v111 < v110 && 2 <= v110
f_162(v102, v103, v104, v105, v106, v110, v111, 1, v107, v108, 0, v113, v114, v115, 3, 2, 4) -> f_164(v102, v103, v104, v105, v106, v110, v111, 1, v107, v108, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_164(v102, v103, v104, v105, v106, v110, v111, 1, v107, v108, 0, v113, v114, v115, 3, 2, 4) -> f_166(v102, v103, v104, v105, v106, v110, v111, 1, v107, v108, 0, v113, v114, v115, 3, 2, 4) :|: TRUE
f_166(v102, v103, v104, v105, v106, v110, v111, 1, v107, v108, 0, v113, v114, v115, 3, 2, 4) -> f_168(v102, v103, v104, v105, v106, v110, v111, 1, v108, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_168(v102, v103, v104, v105, v106, v110, v111, 1, v108, 0, v113, v114, v115, 3, 2, 4) -> f_169(v102, v103, v104, v105, v106, v110, v111, 1, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_169(v102, v103, v104, v105, v106, v110, v111, 1, 0, v113, v114, v115, 3, 2, 4) -> f_170(v102, v103, v104, v105, v106, v110, v111, 1, v128, 0, v113, v114, v115, 3, 2, 4) :|: v128 + v111 = v110 && 1 <= v128
f_170(v102, v103, v104, v105, v106, v110, v111, 1, v128, 0, v113, v114, v115, 3, 2, 4) -> f_171(v102, v103, v104, v105, v106, v110, v111, 1, v128, 0, v113, v114, v115, 3, 2, 4) :|: TRUE
f_171(v102, v103, v104, v105, v106, v110, v111, 1, v128, 0, v113, v114, v115, 3, 2, 4) -> f_172(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: TRUE
f_172(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_173(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: TRUE
f_173(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_174(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_174(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_176(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: 1 <= v130
f_176(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_178(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_178(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_180(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: TRUE
f_180(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_182(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_182(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_184(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: v130 <= 2
f_184(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_186(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_186(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_188(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: TRUE
f_188(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_190(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: TRUE
f_190(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) -> f_159(v102, v103, v104, v105, v106, v110, v111, 1, v128, v130, 0, v113, v114, v115, 3, 2, 4) :|: TRUE
f_159(v102, v103, v104, v105, v106, v107, v108, 1, v110, v111, 0, v113, v114, v115, 3, 2, 4) -> f_160(v102, v103, v104, v105, v106, v110, v108, 1, v107, v111, 0, v113, v114, v115, 3, 2, 4) :|: 0 = 0
f_87 -> f_88(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
f_88(v1, v2, 3, 1, 4) -> f_89(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4
f_89(v1, v3, v2, v4, 3, 1, 4) -> f_90(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6
f_90(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_91(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
f_91(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_92(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
f_92(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_93(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
f_93(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_94(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
f_94(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_95(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
f_95(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_96(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
f_96(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_97(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0
f_97(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_98(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0
f_98(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_99(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: v9 < v7
f_99(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_101(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_101(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_103(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: TRUE
f_103(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_105(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_105(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_106(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_106(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_107(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) :|: v11 + v9 = v7 && 1 <= v11
f_107(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) -> f_108(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) :|: TRUE
f_108(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) -> f_109(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE
f_109(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_110(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE
f_110(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_111(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_111(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_113(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: 1 <= v13
f_113(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_115(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4) :|: 0 = 0
f_115(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4) -> f_117(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4) :|: TRUE
f_117(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4) -> f_119(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4) :|: 0 = 0
f_119(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4) -> f_121(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4, 2) :|: v13 <= 2
f_121(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4, 2) -> f_123(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4, 2) :|: 0 = 0
f_123(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4, 2) -> f_125(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4, 2) :|: TRUE
f_125(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4, 2) -> f_127(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4, 2) :|: TRUE
f_127(v1, v3, v5, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 4, 2) -> f_159(v1, v3, v5, v7, v9, v7, v9, 1, v11, v13, 0, v2, v4, v6, 3, 2, 4) :|: TRUE
Combined rules. Obtained 2 rulesP rules:
f_160(v102:0, v103:0, v104:0, v105:0, v106:0, v128:0 + v111:0, v108:0, 1, v107:0, v111:0, 0, v113:0, v114:0, v115:0, 3, 2, 4) -> f_160(v102:0, v103:0, v104:0, v105:0, v106:0, v128:0, v111:0, 1, v128:0 + v111:0, v130:0, 0, v113:0, v114:0, v115:0, 3, 2, 4) :|: v128:0 + v111:0 > 1 && v128:0 + v111:0 > v111:0 && v128:0 > 0 && v130:0 < 3 && v130:0 > 0
f_87 -> f_160(v1:0, v3:0, v5:0, v11:0 + v9:0, v9:0, v11:0, v9:0, 1, v11:0 + v9:0, v13:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 2, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v9:0 < v11:0 + v9:0 && v11:0 > 0 && v13:0 < 3 && v13:0 > 0
Filtered unneeded arguments:
   f_160(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_160(x4, x5, x6, x7, x9, x10)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
f_160(v105:0, v106:0, sum~v128:0~v111:0, v108:0, v107:0, v111:0) -> f_160(v105:0, v106:0, v128:0, v111:0, v128:0 + v111:0, v130:0) :|: v128:0 + v111:0 > v111:0 && v128:0 + v111:0 > 1 && v128:0 > 0 && v130:0 > 0 && v130:0 < 3 && sum~v128:0~v111:0 = v128:0 + v111:0
f_87 -> f_160(v11:0 + v9:0, v9:0, v11:0, v9:0, v11:0 + v9:0, v13:0) :|: v11:0 > 0 && v9:0 < v11:0 + v9:0 && v13:0 > 0 && v13:0 < 3

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

(8)
Obligation:
Rules:
f_160(v105:0, v106:0, sum~v128:0~v111:0, v108:0, v107:0, v111:0) -> f_160(v105:0, v106:0, v128:0, v111:0, v128:0 + v111:0, v130:0) :|: v128:0 + v111:0 > v111:0 && v128:0 + v111:0 > 1 && v128:0 > 0 && v130:0 > 0 && v130:0 < 3 && sum~v128:0~v111:0 = v128:0 + v111:0
f_87 -> f_160(v11:0 + v9:0, v9:0, v11:0, v9:0, v11:0 + v9:0, v13:0) :|: v11:0 > 0 && v9:0 < v11:0 + v9:0 && v13:0 > 0 && v13:0 < 3
Start term: f_87

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

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

   (f_160_6,1)
   (f_87_6,2)

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

(10)
Obligation:
START: 2;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := oldX2 - oldX5;
oldX7 := nondet();
assume(oldX6 + oldX5 > oldX5 && oldX6 + oldX5 > 1 && oldX6 > 0 && oldX7 > 0 && oldX7 < 3 && oldX2 = oldX6 + oldX5);
x0 := oldX0;
x1 := oldX1;
x2 := oldX2 - oldX5;
x3 := oldX5;
x4 := oldX6 + oldX5;
x5 := oldX7;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := nondet();
oldX7 := nondet();
oldX8 := nondet();
assume(oldX6 > 0 && oldX7 < oldX6 + oldX7 && oldX8 > 0 && oldX8 < 3);
x0 := oldX6 + oldX7;
x1 := oldX7;
x2 := oldX6;
x3 := oldX7;
x4 := oldX6 + oldX7;
x5 := oldX8;
TO: 1;


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

(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*x2-2*x5
      RF for loc. 6: 2*x2-2*x5
      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

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

(12)
YES