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


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


YES
proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 168 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 3989 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, 943 ms]
        (13) YES
    (14) LLVM Symbolic Execution SCC
        (15) SCC2IRS [SOUND, 91 ms]
        (16) IntTRS
        (17) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (18) IntTRS
        (19) RankingReductionPairProof [EQUIVALENT, 0 ms]
        (20) YES
    (21) LLVM Symbolic Execution SCC
        (22) SCC2IRS [SOUND, 37 ms]
        (23) IntTRS
        (24) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (25) IntTRS
        (26) RankingReductionPairProof [EQUIVALENT, 0 ms]
        (27) YES


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

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

(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: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%a = alloca i32, align 4
		%x = alloca i32, align 4
		%max = alloca i32, align 4
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %a
		%3 = call i32 @__VERIFIER_nondet_int()
		store %3, %x
		%4 = call i32 @__VERIFIER_nondet_int()
		store %4, %max
		%5 = load %max
		%6 = icmp sgt %5 0
		br %6, %7, %25
	7:
		store 0, %a
		store 1, %x
		br %8
	8:
		%9 = load %x
		%10 = load %max
		%11 = icmp sle %9 %10
		br %11, %12, %24
	12:
		%13 = call i32 @__VERIFIER_nondet_int()
		%14 = icmp ne %13 0
		br %14, %15, %18
	15:
		%16 = load %a
		%17 = add %16 1
		store %17, %a
		br %21
	18:
		%19 = load %a
		%20 = sub %19 1
		store %20, %a
		br %21
	21:
		%22 = load %x
		%23 = add %22 1
		store %23, %x
		br %8
	24:
		br %25
	25:
		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 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 46 rulesP rules:
f_598(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_600(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: v1993 = 1 + v1917 && 3 <= v1993
f_600(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_602(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE
f_602(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_604(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE
f_604(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1993, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_606(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0
f_606(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_608(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0
f_608(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_610(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: v1993 <= v1915 && 3 <= v1915
f_610(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_614(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0
f_614(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_618(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE
f_618(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v1918, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_622(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE
f_622(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_626(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: v2142 != 0
f_622(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_627(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) :|: v2142 = 0
f_626(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_630(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0
f_630(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_634(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: TRUE
f_634(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_672(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, v2142, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 0, v1923, 3, 2, 4) :|: TRUE
f_672(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2622, v2623, v2624, v2625, v2626, v2627, 0, v2629, 3, 2, 4) -> f_675(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2623, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: 0 = 0
f_675(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2623, v2624, v2625, v2626, v2627, 0, 3, 2, 4) -> f_677(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: v2676 = 1 + v2629
f_677(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) -> f_679(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: TRUE
f_679(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) -> f_681(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: TRUE
f_681(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) -> f_595(v2609, v2610, v2611, v2612, v2613, v2614, v2615, 1, v2617, v2618, v2619, v2620, v2621, v2629, v2676, v2624, v2625, v2626, v2627, 0, 3, 2, 4) :|: TRUE
f_595(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1921, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) -> f_598(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1917, v1918, v1919, v1920, v1922, v1923, v1924, v1925, v1926, v1927, 0, 3, 2, 4) :|: 0 = 0
f_627(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) -> f_631(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) :|: 0 = 0
f_631(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) -> f_635(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) :|: TRUE
f_635(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, 3, 2, 4) -> f_674(v1909, v1910, v1911, v1912, v1913, v1914, v1915, 1, v1993, 0, v1919, v1920, v1917, v1922, v1923, v1924, v1925, v1926, v1927, v1923, 3, 2, 4) :|: TRUE
f_674(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2666, v2667, v2668, v2669, v2670, v2671, v2672, v2673, v2674, v2675, 3, 2, 4) -> f_676(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2667, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) :|: 0 = 0
f_676(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2667, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) -> f_678(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) :|: 1 + v2677 = v2675
f_678(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) -> f_680(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) :|: TRUE
f_680(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) -> f_682(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) :|: TRUE
f_682(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2675, v2677, v2668, v2669, v2670, v2671, v2672, v2673, v2674, 3, 2, 4) -> f_652(v2656, v2657, v2658, v2659, v2660, v2661, v2662, 1, v2664, 0, v2669, v2670, v2668, v2675, v2677, v2671, v2672, v2673, v2674, 3, 2, 4) :|: TRUE
f_652(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2447, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_653(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0
f_653(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_654(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: v2454 = 1 + v2443 && 3 <= v2454
f_654(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_655(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE
f_655(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_656(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE
f_656(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2443, 0, v2445, v2446, v2454, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_657(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0
f_657(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_658(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0
f_658(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_659(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: v2454 <= v2441 && 3 <= v2441
f_659(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_661(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0
f_661(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_663(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE
f_663(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_665(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE
f_665(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_667(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: v2552 != 0
f_665(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_668(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: v2552 = 0
f_667(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_669(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 0, 3, 2, 4) :|: 0 = 0
f_669(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 0, 3, 2, 4) -> f_671(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 0, 3, 2, 4) :|: TRUE
f_671(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 0, 3, 2, 4) -> f_672(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, v2552, v2448, v2449, v2443, v2445, v2446, v2450, v2451, v2452, v2453, 0, v2449, 3, 2, 4) :|: TRUE
f_668(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_670(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: 0 = 0
f_670(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_673(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) :|: TRUE
f_673(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2445, v2446, v2443, v2448, v2449, v2450, v2451, v2452, v2453, 3, 2, 4) -> f_674(v2435, v2436, v2437, v2438, v2439, v2440, v2441, 1, v2454, 0, v2448, v2449, v2443, v2445, v2446, v2450, v2451, v2452, v2453, v2449, 3, 2, 4) :|: TRUE
Combined rules. Obtained 6 rulesP rules:
f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, v1917:0, v1918:0, v1919:0, v1920:0, v1922:0, v1923:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) -> f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, 1 + v1917:0, v2142:0, v1919:0, v1920:0, v1923:0, 1 + v1923:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) :|: v1917:0 > 1 && v1915:0 > 2 && v2142:0 < 0 && v1915:0 >= 1 + v1917:0
f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, v1917:0, v1918:0, v1919:0, v1920:0, v1922:0, v1923:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) -> f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, 1 + v1917:0, v2142:0, v1919:0, v1920:0, v1923:0, 1 + v1923:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) :|: v1917:0 > 1 && v1915:0 > 2 && v2142:0 > 0 && v1915:0 >= 1 + v1917:0
f_598(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, v1917:0, v1918:0, v1919:0, v1920:0, v1922:0, 1 + v2677:0, v1924:0, v1925:0, v1926:0, v1927:0, 0, 3, 2, 4) -> f_665(v1909:0, v1910:0, v1911:0, v1912:0, v1913:0, v1914:0, v1915:0, 1, 1 + (1 + v1917:0), v2552:0, 0, v1922:0, 1 + v2677:0, 1 + v1917:0, 1 + v2677:0, v2677:0, v1924:0, v1925:0, v1926:0, v1927:0, 3, 2, 4) :|: v1917:0 > 1 && v1915:0 > 2 && v1915:0 >= 1 + v1917:0 && v1915:0 >= 1 + (1 + v1917:0)
f_665(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, v2552:0, 0, v2445:0, v2446:0, v2443:0, v2448:0, v2449:0, v2450:0, v2451:0, v2452:0, v2453:0, 3, 2, 4) -> f_598(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, v2552:0, v2448:0, v2449:0, v2449:0, 1 + v2449:0, v2450:0, v2451:0, v2452:0, v2453:0, 0, 3, 2, 4) :|: v2552:0 < 0
f_665(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, v2552:0, 0, v2445:0, v2446:0, v2443:0, v2448:0, v2449:0, v2450:0, v2451:0, v2452:0, v2453:0, 3, 2, 4) -> f_598(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, v2552:0, v2448:0, v2449:0, v2449:0, 1 + v2449:0, v2450:0, v2451:0, v2452:0, v2453:0, 0, 3, 2, 4) :|: v2552:0 > 0
f_665(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, v2454:0, 0, 0, v2445:0, v2446:0, v2443:0, v2448:0, 1 + v2677:0, v2450:0, v2451:0, v2452:0, v2453:0, 3, 2, 4) -> f_665(v2435:0, v2436:0, v2437:0, v2438:0, v2439:0, v2440:0, v2441:0, 1, 1 + v2454:0, v2552:1, 0, v2445:0, v2446:0, v2454:0, 1 + v2677:0, v2677:0, v2450:0, v2451:0, v2452:0, v2453:0, 3, 2, 4) :|: v2454:0 > 1 && v2441:0 >= 1 + v2454:0 && v2441:0 > 2
Filtered unneeded arguments:
   f_598(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_598(x7, x9, x14)
   f_665(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f_665(x7, x9, x10, x16)
Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules:
f_598(v1915:0, v1917:0, v1923:0) -> f_598(v1915:0, 1 + v1917:0, 1 + v1923:0) :|: v1915:0 > 2 && v1915:0 >= 1 + v1917:0 && v1917:0 > 1
f_598(v1915:0, v1917:0, sum~cons_1~v2677:0) -> f_665(v1915:0, 1 + (1 + v1917:0), v2552:0, v2677:0) :|: v1915:0 > 2 && v1917:0 > 1 && v1915:0 >= 1 + (1 + v1917:0) && v1915:0 >= 1 + v1917:0 && sum~cons_1~v2677:0 = 1 + v2677:0
f_665(v2441:0, v2454:0, v2552:0, v2449:0) -> f_598(v2441:0, v2454:0, 1 + v2449:0) :|: v2552:0 < 0
f_665(v2441:0, v2454:0, v2552:0, v2449:0) -> f_598(v2441:0, v2454:0, 1 + v2449:0) :|: v2552:0 > 0
f_665(v2441:0, v2454:0, cons_0, sum~cons_1~v2677:0) -> f_665(v2441:0, 1 + v2454:0, v2552:1, v2677:0) :|: v2441:0 >= 1 + v2454:0 && v2441:0 > 2 && v2454:0 > 1 && cons_0 = 0 && sum~cons_1~v2677:0 = 1 + v2677:0

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

(9)
Obligation:
Rules:
f_598(v1915:0, v1917:0, v1923:0) -> f_598(v1915:0, 1 + v1917:0, 1 + v1923:0) :|: v1915:0 > 2 && v1915:0 >= 1 + v1917:0 && v1917:0 > 1
f_598(x, x1, x2) -> f_665(x, 1 + (1 + x1), x3, x4) :|: x > 2 && x1 > 1 && x >= 1 + (1 + x1) && x >= 1 + x1 && x2 = 1 + x4
f_665(v2441:0, v2454:0, v2552:0, v2449:0) -> f_598(v2441:0, v2454:0, 1 + v2449:0) :|: v2552:0 < 0
f_665(x5, x6, x7, x8) -> f_598(x5, x6, 1 + x8) :|: x7 > 0
f_665(x9, x10, x11, x12) -> f_665(x9, 1 + x10, x13, x14) :|: x9 >= 1 + x10 && x9 > 2 && x10 > 1 && x11 = 0 && x12 = 1 + x14

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

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

   (f_598_4,1)
   (f_665_4,2)

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

(11)
Obligation:
START: 0;

FROM: 0;
TO: 1;

FROM: 0;
TO: 2;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := nondet();
assume(oldX0 > 2 && oldX0 >= 1 + oldX1 && oldX1 > 1);
x0 := oldX0;
x1 := 1 + oldX1;
x2 := 1 + oldX2;
x3 := oldX4;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX5 := oldX2 - 1;
oldX4 := nondet();
assume(oldX0 > 2 && oldX1 > 1 && oldX0 >= 1 + (1 + oldX1) && oldX0 >= 1 + oldX1 && oldX2 = 1 + oldX5);
x0 := oldX0;
x1 := 1 + (1 + oldX1);
x2 := oldX4;
x3 := oldX2 - 1;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := nondet();
assume(oldX2 < 0);
x0 := oldX0;
x1 := oldX1;
x2 := 1 + oldX3;
x3 := oldX4;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := nondet();
assume(oldX2 > 0);
x0 := oldX0;
x1 := oldX1;
x2 := 1 + oldX3;
x3 := oldX4;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX5 := oldX3 - 1;
oldX4 := nondet();
assume(oldX0 >= 1 + oldX1 && oldX0 > 2 && oldX1 > 1 && oldX2 = 0 && oldX3 = 1 + oldX5);
x0 := oldX0;
x1 := 1 + oldX1;
x2 := oldX4;
x3 := oldX3 - 1;
TO: 2;


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

(12) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 2, 5, 6, 14, 17, 18, 19 using the following rank functions:
    - Rank function 1:
      RF for loc. 6: -2+2*x0-2*x1
      RF for loc. 7: 1+2*x0-2*x1
      RF for loc. 8: -3+2*x0-2*x1
      RF for loc. 12: 2*x0-2*x1
      Bound for (chained) transitions 5: -1
      Bound for (chained) transitions 19: 2
    - Rank function 2:
      RF for loc. 6: -4+3*x0-3*x1
      RF for loc. 7: 1+3*x0-3*x1
      RF for loc. 8: -4+3*x0-3*x1
      RF for loc. 12: 3*x0-3*x1
      Bound for (chained) transitions 6: -1
    - Rank function 3:
      RF for loc. 6: -1
      RF for loc. 7: 1
      RF for loc. 8: -2
      RF for loc. 12: 0
      Bound for (chained) transitions 2: -1
      Bound for (chained) transitions 14: 1
      Bound for (chained) transitions 18: 0
    - Rank function 4:
      RF for loc. 6: 0
      RF for loc. 12: 1
      Bound for (chained) transitions 17: 1

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

(13)
YES

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

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

(15) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 18 rulesP rules:
f_490(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_492(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0
f_492(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_494(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: v1130 <= v1125 && 2 <= v1125
f_494(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_498(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0
f_498(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_502(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE
f_502(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_506(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE
f_506(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_510(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: v1267 != 0
f_510(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_514(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0
f_514(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_518(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE
f_518(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_522(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0
f_522(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_526(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: v1130 = 1 + v1127
f_526(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_530(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE
f_530(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_534(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE
f_534(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_538(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0
f_538(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_541(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: v1503 = 1 + v1130 && 3 <= v1503
f_541(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_544(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE
f_544(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_547(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE
f_547(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_487(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1267, v1127, v1503, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: TRUE
f_487(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1127, v1128, v1129, v1130, v1131, v1132, v1133, v1134, 0, 3, 2, 4) -> f_490(v1119, v1120, v1121, v1122, v1123, v1124, v1125, 1, v1130, v1128, v1129, v1127, v1131, v1132, v1133, v1134, 0, 3, 2, 4) :|: 0 = 0
Combined rules. Obtained 2 rulesP rules:
f_490(v1119:0, v1120:0, v1121:0, v1122:0, v1123:0, v1124:0, v1125:0, 1, 1 + v1127:0, v1128:0, v1129:0, v1127:0, v1131:0, v1132:0, v1133:0, v1134:0, 0, 3, 2, 4) -> f_490(v1119:0, v1120:0, v1121:0, v1122:0, v1123:0, v1124:0, v1125:0, 1, 1 + (1 + v1127:0), v1267:0, v1127:0, 1 + v1127:0, v1131:0, v1132:0, v1133:0, v1134:0, 0, 3, 2, 4) :|: v1125:0 > 1 && v1125:0 >= 1 + v1127:0 && v1127:0 > 0 && v1267:0 < 0
f_490(v1119:0, v1120:0, v1121:0, v1122:0, v1123:0, v1124:0, v1125:0, 1, 1 + v1127:0, v1128:0, v1129:0, v1127:0, v1131:0, v1132:0, v1133:0, v1134:0, 0, 3, 2, 4) -> f_490(v1119:0, v1120:0, v1121:0, v1122:0, v1123:0, v1124:0, v1125:0, 1, 1 + (1 + v1127:0), v1267:0, v1127:0, 1 + v1127:0, v1131:0, v1132:0, v1133:0, v1134:0, 0, 3, 2, 4) :|: v1125:0 > 1 && v1125:0 >= 1 + v1127:0 && v1127:0 > 0 && v1267:0 > 0
Filtered unneeded arguments:
   f_490(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_490(x7, x9, x12)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_490(v1125:0, sum~cons_1~v1127:0, v1127:0) -> f_490(v1125:0, 1 + (1 + v1127:0), 1 + v1127:0) :|: v1125:0 >= 1 + v1127:0 && v1127:0 > 0 && v1125:0 > 1 && sum~cons_1~v1127:0 = 1 + v1127:0

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

(16)
Obligation:
Rules:
f_490(v1125:0, sum~cons_1~v1127:0, v1127:0) -> f_490(v1125:0, 1 + (1 + v1127:0), 1 + v1127:0) :|: v1125:0 >= 1 + v1127:0 && v1127:0 > 0 && v1125:0 > 1 && sum~cons_1~v1127:0 = 1 + v1127:0

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(17) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(18)
Obligation:
Rules:
f_490(v1125:0:0, sum~cons_1~v1127:0:0, v1127:0:0) -> f_490(v1125:0:0, 1 + (1 + v1127:0:0), 1 + v1127:0:0) :|: v1125:0:0 >= 1 + v1127:0:0 && v1127:0:0 > 0 && v1125:0:0 > 1 && sum~cons_1~v1127:0:0 = 1 + v1127:0:0

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(19) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_490 ] = f_490_1 + -1*f_490_3

The following rules are decreasing:
f_490(v1125:0:0, sum~cons_1~v1127:0:0, v1127:0:0) -> f_490(v1125:0:0, 1 + (1 + v1127:0:0), 1 + v1127:0:0) :|: v1125:0:0 >= 1 + v1127:0:0 && v1127:0:0 > 0 && v1125:0:0 > 1 && sum~cons_1~v1127:0:0 = 1 + v1127:0:0

The following rules are bounded:
f_490(v1125:0:0, sum~cons_1~v1127:0:0, v1127:0:0) -> f_490(v1125:0:0, 1 + (1 + v1127:0:0), 1 + v1127:0:0) :|: v1125:0:0 >= 1 + v1127:0:0 && v1127:0:0 > 0 && v1125:0:0 > 1 && sum~cons_1~v1127:0:0 = 1 + v1127:0:0


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(20)
YES

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

(21)
Obligation:
SCC
----------------------------------------

(22) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 18 rulesP rules:
f_427(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_429(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0
f_429(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_432(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: v942 <= v936 && 2 <= v936
f_432(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_436(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0
f_436(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_440(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE
f_440(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_444(v930, v931, v932, v933, v934, v935, v936, 1, v942, v987, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE
f_444(v930, v931, v932, v933, v934, v935, v936, 1, v942, v987, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_449(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: v987 = 0
f_449(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_453(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0
f_453(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_457(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE
f_457(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_461(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0
f_461(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v938, v943, v944, v945, v946, 3, 2, 4) -> f_465(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) :|: 1 + v1018 = v941 && 2 + v1018 <= 0
f_465(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) -> f_469(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE
f_469(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) -> f_473(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) :|: TRUE
f_473(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v938, v943, v944, v945, v946, 3, 2, 4) -> f_477(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0
f_477(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v943, v944, v945, v946, 3, 2, 4) -> f_481(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) :|: v1114 = 1 + v942 && 3 <= v1114
f_481(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) -> f_485(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) :|: TRUE
f_485(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) -> f_489(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) :|: TRUE
f_489(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) -> f_425(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v941, v1018, v1114, v943, v944, v945, v946, 3, 2, 4) :|: TRUE
f_425(v930, v931, v932, v933, v934, v935, v936, 1, v938, 0, v940, v941, v942, v943, v944, v945, v946, 3, 2, 4) -> f_427(v930, v931, v932, v933, v934, v935, v936, 1, v942, 0, v940, v941, v938, v943, v944, v945, v946, 3, 2, 4) :|: 0 = 0
Combined rules. Obtained 1 rulesP rules:
f_427(v930:0, v931:0, v932:0, v933:0, v934:0, v935:0, v936:0, 1, v942:0, 0, v940:0, 1 + v1018:0, v938:0, v943:0, v944:0, v945:0, v946:0, 3, 2, 4) -> f_427(v930:0, v931:0, v932:0, v933:0, v934:0, v935:0, v936:0, 1, 1 + v942:0, 0, 1 + v1018:0, v1018:0, v942:0, v943:0, v944:0, v945:0, v946:0, 3, 2, 4) :|: v936:0 > 1 && v942:0 <= v936:0 && v942:0 > 1 && v1018:0 < -1
Filtered unneeded arguments:
   f_427(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_427(x7, x9, x12)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_427(v936:0, v942:0, sum~cons_1~v1018:0) -> f_427(v936:0, 1 + v942:0, v1018:0) :|: v942:0 <= v936:0 && v936:0 > 1 && v1018:0 < -1 && v942:0 > 1 && sum~cons_1~v1018:0 = 1 + v1018:0

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

(23)
Obligation:
Rules:
f_427(v936:0, v942:0, sum~cons_1~v1018:0) -> f_427(v936:0, 1 + v942:0, v1018:0) :|: v942:0 <= v936:0 && v936:0 > 1 && v1018:0 < -1 && v942:0 > 1 && sum~cons_1~v1018:0 = 1 + v1018:0

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(24) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(25)
Obligation:
Rules:
f_427(v936:0:0, v942:0:0, sum~cons_1~v1018:0:0) -> f_427(v936:0:0, 1 + v942:0:0, v1018:0:0) :|: v1018:0:0 < -1 && v942:0:0 > 1 && v936:0:0 > 1 && v942:0:0 <= v936:0:0 && sum~cons_1~v1018:0:0 = 1 + v1018:0:0

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(26) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_427 ] = -1*f_427_2 + f_427_1

The following rules are decreasing:
f_427(v936:0:0, v942:0:0, sum~cons_1~v1018:0:0) -> f_427(v936:0:0, 1 + v942:0:0, v1018:0:0) :|: v1018:0:0 < -1 && v942:0:0 > 1 && v936:0:0 > 1 && v942:0:0 <= v936:0:0 && sum~cons_1~v1018:0:0 = 1 + v1018:0:0

The following rules are bounded:
f_427(v936:0:0, v942:0:0, sum~cons_1~v1018:0:0) -> f_427(v936:0:0, 1 + v942:0:0, v1018:0:0) :|: v1018:0:0 < -1 && v942:0:0 > 1 && v936:0:0 > 1 && v942:0:0 <= v936:0:0 && sum~cons_1~v1018:0:0 = 1 + v1018:0:0


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(27)
YES