/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given C Problem could be proven:

(0) C Problem
(1) CToLLVMProof [EQUIVALENT, 178 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 3104 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) LLVM Symbolic Execution SCC
        (8) SCC2IRS [SOUND, 120 ms]
        (9) IntTRS
        (10) IRS2T2 [EQUIVALENT, 0 ms]
        (11) T2IntSys
        (12) T2 [EQUIVALENT, 462 ms]
        (13) YES
    (14) LLVM Symbolic Execution SCC
        (15) SCC2IRS [SOUND, 105 ms]
        (16) IntTRS
        (17) IRS2T2 [EQUIVALENT, 0 ms]
        (18) T2IntSys
        (19) T2 [EQUIVALENT, 562 ms]
        (20) YES
    (21) LLVM Symbolic Execution SCC
        (22) SCC2IRS [SOUND, 120 ms]
        (23) IntTRS
        (24) IRS2T2 [EQUIVALENT, 0 ms]
        (25) T2IntSys
        (26) T2 [EQUIVALENT, 753 ms]
        (27) 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: false visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = alloca i32, align 4
		%3 = alloca i32, align 4
		%c = alloca i32, align 4
		store %x, %1
		store %y, %2
		store %z, %3
		store 0, %c
		br %4
	4:
		%5 = load %1
		%6 = load %3
		%7 = icmp sgt %5 %6
		br %7, %12, %8
	8:
		%9 = load %2
		%10 = load %3
		%11 = icmp sgt %9 %10
		br %12
	12:
		%13 = phi [1, %4], [%11, %8]
		br %13, %14, %33
	14:
		%15 = load %1
		%16 = load %3
		%17 = icmp sgt %15 %16
		br %17, %18, %21
	18:
		%19 = load %1
		%20 = sub %19 1
		store %20, %1
		br %30
	21:
		%22 = load %2
		%23 = load %3
		%24 = icmp sgt %22 %23
		br %24, %25, %28
	25:
		%26 = load %2
		%27 = sub %26 1
		store %27, %2
		br %29
	28:
		br %29
	29:
		br %30
	30:
		%31 = load %c
		%32 = add %31 1
		store %32, %c
		br %4
	33:
		%34 = load %c
		ret %34

*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 i32 @__VERIFIER_nondet_int()
		%3 = call i32 @__VERIFIER_nondet_int()
		%4 = call i32 @__VERIFIER_nondet_int()
		%5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4)
		ret %5


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 3 SCCs.
----------------------------------------

(6)
Complex Obligation (AND)

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

(7)
Obligation:
SCC
----------------------------------------

(8) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 28 rulesP rules:
f_731(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2681, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) -> f_733(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) :|: 0 = 0
f_733(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) -> f_735(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: v2740 = 1 + v2682 && 2 <= v2740
f_735(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_737(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE
f_737(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_739(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE
f_739(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_741(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_741(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_742(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_742(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_743(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_743(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_744(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE
f_744(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_745(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_745(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_746(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_746(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_747(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: v2673 < v2684
f_747(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_749(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_749(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_751(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_751(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_753(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE
f_753(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_755(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_755(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_757(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_757(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_759(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_759(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_760(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE
f_760(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_761(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_761(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_762(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_762(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_763(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_763(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_764(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE
f_764(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2683, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_765(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 0 = 0
f_765(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_766(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: 1 + v3029 = v2684
f_766(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_767(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE
f_767(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_768(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) :|: TRUE
f_768(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4, 2) -> f_729(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2682, v2740, v2684, v3029, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) :|: TRUE
f_729(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2681, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) -> f_731(v2671, v2672, v2673, v2674, v2675, v2676, v2677, 0, 1, v2680, v2681, v2682, v2683, v2684, v2685, v2686, v2687, v2688, v2689, v2690, 3, 4) :|: TRUE
Combined rules. Obtained 1 rulesP rules:
f_731(v2671:0, v2672:0, v2673:0, v2674:0, v2675:0, v2676:0, v2677:0, 0, 1, v2680:0, v2681:0, v2682:0, v2683:0, 1 + v3029:0, v2685:0, v2686:0, v2687:0, v2688:0, v2689:0, v2690:0, 3, 4) -> f_731(v2671:0, v2672:0, v2673:0, v2674:0, v2675:0, v2676:0, v2677:0, 0, 1, v2680:0, v2682:0, 1 + v2682:0, 1 + v3029:0, v3029:0, v2685:0, v2686:0, v2687:0, v2688:0, v2689:0, v2690:0, 3, 4) :|: v2673:0 < 1 + v3029:0 && v2682:0 > 0
Filtered unneeded arguments:
   f_731(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_731(x3, x12, x14)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_731(v2673:0, v2682:0, sum~cons_1~v3029:0) -> f_731(v2673:0, 1 + v2682:0, v3029:0) :|: v2673:0 < 1 + v3029:0 && v2682:0 > 0 && sum~cons_1~v3029:0 = 1 + v3029:0

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

(9)
Obligation:
Rules:
f_731(v2673:0, v2682:0, sum~cons_1~v3029:0) -> f_731(v2673:0, 1 + v2682:0, v3029:0) :|: v2673:0 < 1 + v3029:0 && v2682:0 > 0 && sum~cons_1~v3029:0 = 1 + v3029:0

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

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

   (f_731_3,1)

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

(11)
Obligation:
START: 0;

FROM: 0;
TO: 1;

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


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

(12) 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: -x0+x2
      RF for loc. 6: -x0+x2
      Bound for (chained) transitions 3: 1
    - Rank function 2:
      RF for loc. 5: -x0+x2
      RF for loc. 6: -x0+x2
      Bound for (chained) transitions 4: 1
    - Rank function 3:
      RF for loc. 5: 0
      RF for loc. 6: -1
      Bound for (chained) transitions 1: 0

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

(13)
YES

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

(14)
Obligation:
SCC
----------------------------------------

(15) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 28 rulesP rules:
f_675(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_677(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_677(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_679(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_679(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_681(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE
f_681(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_683(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_683(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_685(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_685(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_688(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: v2256 < v2264
f_688(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_692(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_692(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_696(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_696(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_700(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE
f_700(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_704(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_704(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_708(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_708(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_711(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_711(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_713(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE
f_713(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_715(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_715(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_717(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_717(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_719(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_719(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_721(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE
f_721(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2262, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_723(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_723(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_725(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 1 + v2668 = v2264
f_725(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_727(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE
f_727(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_730(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE
f_730(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_732(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE
f_732(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_734(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
f_734(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_736(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) :|: v2741 = 1 + v2266 && 2 <= v2741
f_736(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) -> f_738(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) :|: TRUE
f_738(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) -> f_740(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) :|: TRUE
f_740(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4, 2) -> f_673(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2264, 1, v2668, v2266, v2741, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: TRUE
f_673(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) -> f_675(v2254, v2255, v2256, v2257, v2258, v2259, v2260, 0, v2262, 1, v2264, v2265, v2266, v2267, v2268, v2269, v2270, v2271, v2272, 3, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_675(v2254:0, v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 0, v2262:0, 1, 1 + v2668:0, v2265:0, v2266:0, v2267:0, v2268:0, v2269:0, v2270:0, v2271:0, v2272:0, 3, 4) -> f_675(v2254:0, v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 0, 1 + v2668:0, 1, v2668:0, v2266:0, 1 + v2266:0, v2267:0, v2268:0, v2269:0, v2270:0, v2271:0, v2272:0, 3, 4) :|: v2266:0 > 0 && v2256:0 < 1 + v2668:0
Filtered unneeded arguments:
   f_675(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_675(x3, x11, x13)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_675(v2256:0, sum~cons_1~v2668:0, v2266:0) -> f_675(v2256:0, v2668:0, 1 + v2266:0) :|: v2266:0 > 0 && v2256:0 < 1 + v2668:0 && sum~cons_1~v2668:0 = 1 + v2668:0

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(16)
Obligation:
Rules:
f_675(v2256:0, sum~cons_1~v2668:0, v2266:0) -> f_675(v2256:0, v2668:0, 1 + v2266:0) :|: v2266:0 > 0 && v2256:0 < 1 + v2668:0 && sum~cons_1~v2668:0 = 1 + v2668:0

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

   (f_675_3,1)

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(18)
Obligation:
START: 0;

FROM: 0;
TO: 1;

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


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(19) 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: -x0+x1
      RF for loc. 6: -x0+x1
      Bound for (chained) transitions 3: 1
    - Rank function 2:
      RF for loc. 5: 1-2*x0+2*x1
      RF for loc. 6: -2*x0+2*x1
      Bound for (chained) transitions 4: 2
    - Rank function 3:
      RF for loc. 5: 0
      RF for loc. 6: -1
      Bound for (chained) transitions 1: 0

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(20)
YES

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(21)
Obligation:
SCC
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(22) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 19 rulesP rules:
f_520(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_523(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
f_523(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_525(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: v1308 < v1315
f_525(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_528(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
f_528(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_531(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
f_531(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_534(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE
f_534(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_537(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
f_537(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_540(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
f_540(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_545(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
f_545(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_550(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE
f_550(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_555(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
f_555(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_560(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 1 + v1583 = v1315
f_560(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_565(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE
f_565(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_570(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE
f_570(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_573(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
f_573(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_576(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) :|: v1601 = 1 + v1317 && 2 <= v1601
f_576(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) -> f_579(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) :|: TRUE
f_579(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) -> f_582(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) :|: TRUE
f_582(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4, 2) -> f_518(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1583, v1317, v1601, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: TRUE
f_518(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1313, 1, v1315, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) -> f_520(v1306, v1307, v1308, v1309, v1310, v1311, v1312, v1315, 1, v1313, v1316, v1317, v1318, v1319, v1320, v1321, v1322, v1323, 0, 3, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_520(v1306:0, v1307:0, v1308:0, v1309:0, v1310:0, v1311:0, v1312:0, 1 + v1583:0, 1, v1313:0, v1316:0, v1317:0, v1318:0, v1319:0, v1320:0, v1321:0, v1322:0, v1323:0, 0, 3, 4) -> f_520(v1306:0, v1307:0, v1308:0, v1309:0, v1310:0, v1311:0, v1312:0, v1583:0, 1, 1 + v1583:0, v1317:0, 1 + v1317:0, v1318:0, v1319:0, v1320:0, v1321:0, v1322:0, v1323:0, 0, 3, 4) :|: v1317:0 > 0 && v1308:0 < 1 + v1583:0
Filtered unneeded arguments:
   f_520(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_520(x3, x8, x12)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_520(v1308:0, sum~cons_1~v1583:0, v1317:0) -> f_520(v1308:0, v1583:0, 1 + v1317:0) :|: v1317:0 > 0 && v1308:0 < 1 + v1583:0 && sum~cons_1~v1583:0 = 1 + v1583:0

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(23)
Obligation:
Rules:
f_520(v1308:0, sum~cons_1~v1583:0, v1317:0) -> f_520(v1308:0, v1583:0, 1 + v1317:0) :|: v1317:0 > 0 && v1308:0 < 1 + v1583:0 && sum~cons_1~v1583:0 = 1 + v1583:0

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

   (f_520_3,1)

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(25)
Obligation:
START: 0;

FROM: 0;
TO: 1;

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


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(26) 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: -x0+x1
      RF for loc. 6: -x0+x1
      Bound for (chained) transitions 3: 1
    - Rank function 2:
      RF for loc. 5: 1-2*x0+2*x1
      RF for loc. 6: -2*x0+2*x1
      Bound for (chained) transitions 4: 2
    - Rank function 3:
      RF for loc. 5: 0
      RF for loc. 6: -1
      Bound for (chained) transitions 1: 0

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(27)
YES