YES
proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 170 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1981 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) LLVM Symbolic Execution SCC
        (8) SCC2IRS [SOUND, 105 ms]
        (9) IntTRS
        (10) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (11) IntTRS
        (12) RankingReductionPairProof [EQUIVALENT, 24 ms]
        (13) IntTRS
        (14) TerminationGraphProcessor [EQUIVALENT, 7 ms]
        (15) IntTRS
        (16) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (17) IntTRS
        (18) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
        (19) IntTRS
        (20) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
        (21) YES
    (22) LLVM Symbolic Execution SCC
        (23) SCC2IRS [SOUND, 80 ms]
        (24) IntTRS
        (25) IntTRSCompressionProof [EQUIVALENT, 1 ms]
        (26) IntTRS
        (27) PolynomialOrderProcessor [EQUIVALENT, 12 ms]
        (28) YES
    (29) LLVM Symbolic Execution SCC
        (30) SCC2IRS [SOUND, 48 ms]
        (31) IntTRS
        (32) IntTRSCompressionProof [EQUIVALENT, 2 ms]
        (33) IntTRS
        (34) RankingReductionPairProof [EQUIVALENT, 0 ms]
        (35) 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
		%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 = icmp sgt %5 0
		br %6, %7, %10
	7:
		%8 = load %y
		%9 = icmp sgt %8 0
		br %10
	10:
		%11 = phi [0, %4], [%9, %7]
		br %11, %12, %23
	12:
		%13 = call i32 @__VERIFIER_nondet_int()
		%14 = icmp ne %13 0
		br %14, %15, %18
	15:
		%16 = load %x
		%17 = sub %16 1
		store %17, %x
		br %22
	18:
		%19 = call i32 @__VERIFIER_nondet_int()
		store %19, %x
		%20 = load %y
		%21 = sub %20 1
		store %21, %y
		br %22
	22:
		br %4
	23:
		%24 = load %1
		ret %24


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 49 rulesP rules:
f_493(v2255, v2256, v2257, v2258, v2259, v2260, 1, v2262, v2263, v2264, v2265, v2266, v2267, v2268, v2269, 0, 3, 2, 4) -> f_496(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0
f_496(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_499(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 < v2266 && 2 <= v2260 && 2 <= v2264
f_499(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_503(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0
f_503(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_507(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE
f_507(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_512(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0
f_512(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_516(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0
f_516(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_520(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0
f_520(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_523(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE
f_523(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2263, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_526(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE
f_526(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_529(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: v2685 != 0
f_526(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_530(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) :|: v2685 = 0
f_529(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_533(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: 0 = 0
f_533(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_537(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE
f_537(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2267, v2268, v2269, 0, 3, 2, 4) -> f_586(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, v2685, v2264, v2265, v2260, v2266, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE
f_586(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3343, v3344, v3345, v3346, v3347, 0, 3, 2, 4) -> f_589(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3344, v3345, v3346, v3347, 0, 3, 2, 4) :|: 0 = 0
f_589(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3344, v3345, v3346, v3347, 0, 3, 2, 4) -> f_591(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) :|: 1 + v3387 = v3337 && 0 <= v3387
f_591(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) -> f_593(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) :|: TRUE
f_593(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) -> f_595(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) :|: TRUE
f_595(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) -> f_491(v3332, v3333, v3334, v3335, v3336, v3337, 1, v3339, v3340, v3341, v3342, v3387, v3345, v3346, v3347, 0, 3, 2, 4) :|: TRUE
f_491(v2255, v2256, v2257, v2258, v2259, v2260, 1, v2262, v2263, v2264, v2265, v2266, v2267, v2268, v2269, 0, 3, 2, 4) -> f_493(v2255, v2256, v2257, v2258, v2259, v2260, 1, v2262, v2263, v2264, v2265, v2266, v2267, v2268, v2269, 0, 3, 2, 4) :|: TRUE
f_530(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) -> f_534(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) :|: 0 = 0
f_534(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) -> f_538(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) :|: TRUE
f_538(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2267, v2268, v2269, 3, 2, 4) -> f_588(v2255, v2256, v2257, v2258, v2259, v2266, 1, v2262, 0, v2264, v2265, v2260, v2266, v2267, v2268, v2269, 3, 2, 4) :|: TRUE
f_588(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3379, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_590(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: TRUE
f_590(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_592(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: TRUE
f_592(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3380, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_594(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: 0 = 0
f_594(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_596(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: 1 + v3429 = v3377 && 0 <= v3429
f_596(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_597(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: TRUE
f_597(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_598(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) :|: TRUE
f_598(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3386, v3429, v3381, v3382, v3383, v3384, v3385, 3, 2, 4) -> f_559(v3370, v3371, v3372, v3373, v3374, v3375, 1, v3377, 0, v3381, v3382, v3386, v3429, v3383, v3384, v3385, 3, 2, 4) :|: TRUE
f_559(v2918, v2919, v2920, v2921, v2922, v2923, 1, v2925, 0, v2927, v2928, v2929, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_560(v2918, v2919, v2920, v2921, v2922, v2923, 1, v2925, 0, v2927, v2928, v2929, v2930, v2931, v2932, v2933, 3, 2, 4) :|: TRUE
f_560(v2918, v2919, v2920, v2921, v2922, v2923, 1, v2925, 0, v2927, v2928, v2929, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_561(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0
f_561(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_562(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) :|: 0 < v2929
f_562(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_564(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0
f_564(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_566(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) :|: TRUE
f_566(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2925, 0, v2927, v2928, v2930, v2931, v2932, v2933, 3, 2, 4) -> f_568(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0
f_568(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_570(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 < v2930 && 2 <= v2925 && 2 <= v2922
f_570(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_573(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0
f_573(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_575(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0
f_575(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_577(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: TRUE
f_577(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_579(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: TRUE
f_579(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_581(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: v3310 != 0
f_579(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_582(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: v3310 = 0
f_581(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_583(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2927, v2928, v2925, v2931, v2932, v2933, 0, 3, 2, 4) :|: 0 = 0
f_583(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2927, v2928, v2925, v2931, v2932, v2933, 0, 3, 2, 4) -> f_585(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2927, v2928, v2925, v2931, v2932, v2933, 0, 3, 2, 4) :|: TRUE
f_585(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2927, v2928, v2925, v2931, v2932, v2933, 0, 3, 2, 4) -> f_586(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, v3310, v2929, v2925, v2927, v2928, v2931, v2932, v2933, 0, 3, 2, 4) :|: TRUE
f_582(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_584(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: 0 = 0
f_584(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_587(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) :|: TRUE
f_587(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2927, v2928, v2925, v2931, v2932, v2933, 3, 2, 4) -> f_588(v2918, v2919, v2920, v2921, v2922, v2929, 1, v2930, 0, v2929, v2925, v2927, v2928, v2931, v2932, v2933, 3, 2, 4) :|: TRUE
Combined rules. Obtained 6 rulesP rules:
f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 1, v2262:0, v2263:0, v2264:0, v2265:0, 1 + v3387:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) -> f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, 1 + v3387:0, 1, v2262:0, v2685:0, v2264:0, v2265:0, v3387:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) :|: v2260:0 > 1 && v3387:0 > -1 && v2264:0 > 1 && v2685:0 < 0
f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 1, v2262:0, v2263:0, v2264:0, v2265:0, 1 + v3387:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) -> f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, 1 + v3387:0, 1, v2262:0, v2685:0, v2264:0, v2265:0, v3387:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) :|: v2260:0 > 1 && v3387:0 > -1 && v2264:0 > 1 && v2685:0 > 0
f_579(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, 1 + v3387:0, 1, v2930:0, v3310:0, 0, v2927:0, v2928:0, v2925:0, v2931:0, v2932:0, v2933:0, 3, 2, 4) -> f_493(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, 1 + v3387:0, 1, v2930:0, v3310:0, 1 + v3387:0, v2925:0, v3387:0, v2931:0, v2932:0, v2933:0, 0, 3, 2, 4) :|: v3310:0 < 0 && v3387:0 > -1
f_579(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, 1 + v3387:0, 1, v2930:0, v3310:0, 0, v2927:0, v2928:0, v2925:0, v2931:0, v2932:0, v2933:0, 3, 2, 4) -> f_493(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, 1 + v3387:0, 1, v2930:0, v3310:0, 1 + v3387:0, v2925:0, v3387:0, v2931:0, v2932:0, v2933:0, 0, 3, 2, 4) :|: v3310:0 > 0 && v3387:0 > -1
f_579(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, v2929:0, 1, 1 + v3429:0, 0, 0, v2927:0, v2928:0, v2925:0, v2931:0, v2932:0, v2933:0, 3, 2, 4) -> f_579(v2918:0, v2919:0, v2920:0, v2921:0, v2922:0, v3386:0, 1, v3429:0, v3310:1, 0, v2927:0, v2928:0, 1 + v3429:0, v2931:0, v2932:0, v2933:0, 3, 2, 4) :|: v3429:0 > 0 && v3386:0 > 0 && v2922:0 > 1
f_493(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v2260:0, 1, 1 + v3429:0, v2263:0, v2264:0, v2265:0, v2266:0, v2267:0, v2268:0, v2269:0, 0, 3, 2, 4) -> f_579(v2255:0, v2256:0, v2257:0, v2258:0, v2259:0, v3386:0, 1, v3429:0, v3310:0, 0, v2260:0, v2266:0, 1 + v3429:0, v2267:0, v2268:0, v2269:0, 3, 2, 4) :|: v3429:0 > 0 && v2260:0 > 1 && v2266:0 > 0 && v2264:0 > 1 && v3386:0 > 0 && v2259:0 > 1
Filtered unneeded arguments:
   f_493(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_493(x5, x6, x8, x10, x12)
   f_579(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_579(x5, x6, x8, x9)
Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules:
f_493(v2259:0, v2260:0, v2262:0, v2264:0, sum~cons_1~v3387:0) -> f_493(v2259:0, 1 + v3387:0, v2262:0, v2264:0, v3387:0) :|: v3387:0 > -1 && v2264:0 > 1 && v2260:0 > 1 && sum~cons_1~v3387:0 = 1 + v3387:0
f_579(v2922:0, sum~cons_1~v3387:0, v2930:0, v3310:0) -> f_493(v2922:0, 1 + v3387:0, v2930:0, 1 + v3387:0, v3387:0) :|: v3310:0 < 0 && v3387:0 > -1 && sum~cons_1~v3387:0 = 1 + v3387:0
f_579(v2922:0, sum~cons_1~v3387:0, v2930:0, v3310:0) -> f_493(v2922:0, 1 + v3387:0, v2930:0, 1 + v3387:0, v3387:0) :|: v3310:0 > 0 && v3387:0 > -1 && sum~cons_1~v3387:0 = 1 + v3387:0
f_579(v2922:0, v2929:0, sum~cons_1~v3429:0, cons_0) -> f_579(v2922:0, v3386:0, v3429:0, v3310:1) :|: v3386:0 > 0 && v2922:0 > 1 && v3429:0 > 0 && sum~cons_1~v3429:0 = 1 + v3429:0 && cons_0 = 0
f_493(v2259:0, v2260:0, sum~cons_1~v3429:0, v2264:0, v2266:0) -> f_579(v2259:0, v3386:0, v3429:0, v3310:0) :|: v2260:0 > 1 && v3429:0 > 0 && v2266:0 > 0 && v2264:0 > 1 && v2259:0 > 1 && v3386:0 > 0 && sum~cons_1~v3429:0 = 1 + v3429:0

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

(9)
Obligation:
Rules:
f_493(v2259:0, v2260:0, v2262:0, v2264:0, sum~cons_1~v3387:0) -> f_493(v2259:0, 1 + v3387:0, v2262:0, v2264:0, v3387:0) :|: v3387:0 > -1 && v2264:0 > 1 && v2260:0 > 1 && sum~cons_1~v3387:0 = 1 + v3387:0
f_579(x, x1, x2, x3) -> f_493(x, 1 + x4, x2, 1 + x4, x4) :|: x3 < 0 && x4 > -1 && x1 = 1 + x4
f_579(x5, x6, x7, x8) -> f_493(x5, 1 + x9, x7, 1 + x9, x9) :|: x8 > 0 && x9 > -1 && x6 = 1 + x9
f_579(v2922:0, v2929:0, sum~cons_1~v3429:0, cons_0) -> f_579(v2922:0, v3386:0, v3429:0, v3310:1) :|: v3386:0 > 0 && v2922:0 > 1 && v3429:0 > 0 && sum~cons_1~v3429:0 = 1 + v3429:0 && cons_0 = 0
f_493(x10, x11, x12, x13, x14) -> f_579(x10, x15, x16, x17) :|: x11 > 1 && x16 > 0 && x14 > 0 && x13 > 1 && x10 > 1 && x15 > 0 && x12 = 1 + x16

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

(11)
Obligation:
Rules:
f_493(v2259:0:0, v2260:0:0, v2262:0:0, v2264:0:0, sum~cons_1~v3387:0:0) -> f_493(v2259:0:0, 1 + v3387:0:0, v2262:0:0, v2264:0:0, v3387:0:0) :|: v3387:0:0 > -1 && v2264:0:0 > 1 && v2260:0:0 > 1 && sum~cons_1~v3387:0:0 = 1 + v3387:0:0
f_579(x5:0, sum~cons_1~x9:0, x7:0, x8:0) -> f_493(x5:0, 1 + x9:0, x7:0, 1 + x9:0, x9:0) :|: x8:0 > 0 && x9:0 > -1 && sum~cons_1~x9:0 = 1 + x9:0
f_493(x10:0, x11:0, sum~cons_1~x16:0, x13:0, x14:0) -> f_579(x10:0, x15:0, x16:0, x17:0) :|: x10:0 > 1 && x15:0 > 0 && x13:0 > 1 && x14:0 > 0 && x16:0 > 0 && x11:0 > 1 && sum~cons_1~x16:0 = 1 + x16:0
f_579(v2922:0:0, v2929:0:0, sum~cons_1~v3429:0:0, cons_0) -> f_579(v2922:0:0, v3386:0:0, v3429:0:0, v3310:1:0) :|: v3386:0:0 > 0 && v2922:0:0 > 1 && v3429:0:0 > 0 && sum~cons_1~v3429:0:0 = 1 + v3429:0:0 && cons_0 = 0
f_579(x:0, sum~cons_1~x4:0, x2:0, x3:0) -> f_493(x:0, 1 + x4:0, x2:0, 1 + x4:0, x4:0) :|: x3:0 < 0 && x4:0 > -1 && sum~cons_1~x4:0 = 1 + x4:0

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(12) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_493 ] = 2*f_493_1 + 2*f_493_3
[ f_579 ] = 2*f_579_1 + 2*f_579_3 + 1

The following rules are decreasing:
f_579(x5:0, sum~cons_1~x9:0, x7:0, x8:0) -> f_493(x5:0, 1 + x9:0, x7:0, 1 + x9:0, x9:0) :|: x8:0 > 0 && x9:0 > -1 && sum~cons_1~x9:0 = 1 + x9:0
f_493(x10:0, x11:0, sum~cons_1~x16:0, x13:0, x14:0) -> f_579(x10:0, x15:0, x16:0, x17:0) :|: x10:0 > 1 && x15:0 > 0 && x13:0 > 1 && x14:0 > 0 && x16:0 > 0 && x11:0 > 1 && sum~cons_1~x16:0 = 1 + x16:0
f_579(v2922:0:0, v2929:0:0, sum~cons_1~v3429:0:0, cons_0) -> f_579(v2922:0:0, v3386:0:0, v3429:0:0, v3310:1:0) :|: v3386:0:0 > 0 && v2922:0:0 > 1 && v3429:0:0 > 0 && sum~cons_1~v3429:0:0 = 1 + v3429:0:0 && cons_0 = 0
f_579(x:0, sum~cons_1~x4:0, x2:0, x3:0) -> f_493(x:0, 1 + x4:0, x2:0, 1 + x4:0, x4:0) :|: x3:0 < 0 && x4:0 > -1 && sum~cons_1~x4:0 = 1 + x4:0

The following rules are bounded:
f_493(x10:0, x11:0, sum~cons_1~x16:0, x13:0, x14:0) -> f_579(x10:0, x15:0, x16:0, x17:0) :|: x10:0 > 1 && x15:0 > 0 && x13:0 > 1 && x14:0 > 0 && x16:0 > 0 && x11:0 > 1 && sum~cons_1~x16:0 = 1 + x16:0
f_579(v2922:0:0, v2929:0:0, sum~cons_1~v3429:0:0, cons_0) -> f_579(v2922:0:0, v3386:0:0, v3429:0:0, v3310:1:0) :|: v3386:0:0 > 0 && v2922:0:0 > 1 && v3429:0:0 > 0 && sum~cons_1~v3429:0:0 = 1 + v3429:0:0 && cons_0 = 0


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

(13)
Obligation:
Rules:
f_493(v2259:0:0, v2260:0:0, v2262:0:0, v2264:0:0, sum~cons_1~v3387:0:0) -> f_493(v2259:0:0, 1 + v3387:0:0, v2262:0:0, v2264:0:0, v3387:0:0) :|: v3387:0:0 > -1 && v2264:0:0 > 1 && v2260:0:0 > 1 && sum~cons_1~v3387:0:0 = 1 + v3387:0:0
f_579(x5:0, sum~cons_1~x9:0, x7:0, x8:0) -> f_493(x5:0, 1 + x9:0, x7:0, 1 + x9:0, x9:0) :|: x8:0 > 0 && x9:0 > -1 && sum~cons_1~x9:0 = 1 + x9:0
f_579(x:0, sum~cons_1~x4:0, x2:0, x3:0) -> f_493(x:0, 1 + x4:0, x2:0, 1 + x4:0, x4:0) :|: x3:0 < 0 && x4:0 > -1 && sum~cons_1~x4:0 = 1 + x4:0

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(14) TerminationGraphProcessor (EQUIVALENT)
Constructed the termination graph and obtained one non-trivial SCC.

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

(15)
Obligation:
Rules:
f_493(v2259:0:0, v2260:0:0, v2262:0:0, v2264:0:0, sum~cons_1~v3387:0:0) -> f_493(v2259:0:0, 1 + v3387:0:0, v2262:0:0, v2264:0:0, v3387:0:0) :|: v3387:0:0 > -1 && v2264:0:0 > 1 && v2260:0:0 > 1 && sum~cons_1~v3387:0:0 = 1 + v3387:0:0

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

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

(17)
Obligation:
Rules:
f_493(v2259:0:0:0, v2260:0:0:0, v2262:0:0:0, v2264:0:0:0, sum~cons_1~v3387:0:0:0) -> f_493(v2259:0:0:0, 1 + v3387:0:0:0, v2262:0:0:0, v2264:0:0:0, v3387:0:0:0) :|: v3387:0:0:0 > -1 && v2264:0:0:0 > 1 && v2260:0:0:0 > 1 && sum~cons_1~v3387:0:0:0 = 1 + v3387:0:0:0

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

(18) IntTRSUnneededArgumentFilterProof (EQUIVALENT)
Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:

   f_493(x1, x2, x3, x4, x5) -> f_493(x2, x4, x5)

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

(19)
Obligation:
Rules:
f_493(v2260:0:0:0, v2264:0:0:0, sum~cons_1~v3387:0:0:0) -> f_493(1 + v3387:0:0:0, v2264:0:0:0, v3387:0:0:0) :|: v3387:0:0:0 > -1 && v2264:0:0:0 > 1 && v2260:0:0:0 > 1 && sum~cons_1~v3387:0:0:0 = 1 + v3387:0:0:0

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

(20) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_493(x, x1, x2)] = x2

The following rules are decreasing:
f_493(v2260:0:0:0, v2264:0:0:0, sum~cons_1~v3387:0:0:0) -> f_493(1 + v3387:0:0:0, v2264:0:0:0, v3387:0:0:0) :|: v3387:0:0:0 > -1 && v2264:0:0:0 > 1 && v2260:0:0:0 > 1 && sum~cons_1~v3387:0:0:0 = 1 + v3387:0:0:0
The following rules are bounded:
f_493(v2260:0:0:0, v2264:0:0:0, sum~cons_1~v3387:0:0:0) -> f_493(1 + v3387:0:0:0, v2264:0:0:0, v3387:0:0:0) :|: v3387:0:0:0 > -1 && v2264:0:0:0 > 1 && v2260:0:0:0 > 1 && sum~cons_1~v3387:0:0:0 = 1 + v3387:0:0:0

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

(21)
YES

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

(22)
Obligation:
SCC
----------------------------------------

(23) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 21 rulesP rules:
f_302(v588, v589, v590, v591, v592, v593, 1, v595, 0, v597, v598, v599, v600, v601, 3, 4) -> f_304(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) :|: 0 = 0
f_304(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) -> f_307(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) :|: 0 < v597
f_307(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) -> f_311(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) :|: 0 = 0
f_311(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) -> f_315(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) :|: TRUE
f_315(v588, v589, v590, v591, v592, v597, 1, v595, 0, v598, v599, v600, v601, 3, 4) -> f_319(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 4) :|: 0 = 0
f_319(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 4) -> f_323(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: 0 < v598 && 2 <= v595 && 2 <= v592
f_323(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_328(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: 0 = 0
f_328(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_332(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: 0 = 0
f_332(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_336(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: TRUE
f_336(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_339(v588, v589, v590, v591, v592, v597, 1, v598, v770, 0, v595, v599, v600, v601, 3, 2, 4) :|: TRUE
f_339(v588, v589, v590, v591, v592, v597, 1, v598, v770, 0, v595, v599, v600, v601, 3, 2, 4) -> f_343(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: v770 = 0
f_343(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_346(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: 0 = 0
f_346(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_350(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) :|: TRUE
f_350(v588, v589, v590, v591, v592, v597, 1, v598, 0, v595, v599, v600, v601, 3, 2, 4) -> f_354(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v595, v599, v600, v601, 3, 2, 4) :|: TRUE
f_354(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v595, v599, v600, v601, 3, 2, 4) -> f_358(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v595, v599, v600, v601, 3, 2, 4) :|: TRUE
f_358(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v595, v599, v600, v601, 3, 2, 4) -> f_362(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v599, v600, v601, 3, 2, 4) :|: 0 = 0
f_362(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v599, v600, v601, 3, 2, 4) -> f_367(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) :|: 1 + v919 = v598 && 0 <= v919
f_367(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) -> f_371(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) :|: TRUE
f_371(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) -> f_375(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) :|: TRUE
f_375(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 2, 4) -> f_300(v588, v589, v590, v591, v592, v597, 1, v598, 0, v796, v919, v599, v600, v601, 3, 4) :|: TRUE
f_300(v588, v589, v590, v591, v592, v593, 1, v595, 0, v597, v598, v599, v600, v601, 3, 4) -> f_302(v588, v589, v590, v591, v592, v593, 1, v595, 0, v597, v598, v599, v600, v601, 3, 4) :|: TRUE
Combined rules. Obtained 1 rulesP rules:
f_302(v588:0, v589:0, v590:0, v591:0, v592:0, v593:0, 1, v595:0, 0, v597:0, 1 + v919:0, v599:0, v600:0, v601:0, 3, 4) -> f_302(v588:0, v589:0, v590:0, v591:0, v592:0, v597:0, 1, 1 + v919:0, 0, v796:0, v919:0, v599:0, v600:0, v601:0, 3, 4) :|: v597:0 > 0 && v595:0 > 1 && v919:0 > -1 && v592:0 > 1
Filtered unneeded arguments:
   f_302(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_302(x5, x8, x10, x11)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_302(v592:0, v595:0, v597:0, sum~cons_1~v919:0) -> f_302(v592:0, 1 + v919:0, v796:0, v919:0) :|: v595:0 > 1 && v597:0 > 0 && v592:0 > 1 && v919:0 > -1 && sum~cons_1~v919:0 = 1 + v919:0

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(24)
Obligation:
Rules:
f_302(v592:0, v595:0, v597:0, sum~cons_1~v919:0) -> f_302(v592:0, 1 + v919:0, v796:0, v919:0) :|: v595:0 > 1 && v597:0 > 0 && v592:0 > 1 && v919:0 > -1 && sum~cons_1~v919:0 = 1 + v919:0

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

(26)
Obligation:
Rules:
f_302(v592:0:0, v595:0:0, v597:0:0, sum~cons_1~v919:0:0) -> f_302(v592:0:0, 1 + v919:0:0, v796:0:0, v919:0:0) :|: v592:0:0 > 1 && v919:0:0 > -1 && v597:0:0 > 0 && v595:0:0 > 1 && sum~cons_1~v919:0:0 = 1 + v919:0:0

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(27) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_302(x, x1, x2, x3)] = x3

The following rules are decreasing:
f_302(v592:0:0, v595:0:0, v597:0:0, sum~cons_1~v919:0:0) -> f_302(v592:0:0, 1 + v919:0:0, v796:0:0, v919:0:0) :|: v592:0:0 > 1 && v919:0:0 > -1 && v597:0:0 > 0 && v595:0:0 > 1 && sum~cons_1~v919:0:0 = 1 + v919:0:0
The following rules are bounded:
f_302(v592:0:0, v595:0:0, v597:0:0, sum~cons_1~v919:0:0) -> f_302(v592:0:0, 1 + v919:0:0, v796:0:0, v919:0:0) :|: v592:0:0 > 1 && v919:0:0 > -1 && v597:0:0 > 0 && v595:0:0 > 1 && sum~cons_1~v919:0:0 = 1 + v919:0:0

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(28)
YES

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(29)
Obligation:
SCC
----------------------------------------

(30) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 18 rulesP rules:
f_274(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 4) -> f_277(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 < v461 && 2 <= v458 && 2 <= v456
f_277(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_281(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0
f_281(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_285(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: TRUE
f_285(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_289(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0
f_289(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_293(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0
f_293(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_297(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0
f_297(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_301(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) :|: TRUE
f_301(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 2, 4) -> f_303(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) :|: TRUE
f_303(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) -> f_305(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) :|: v619 != 0
f_305(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) -> f_309(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0
f_309(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) -> f_313(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) :|: TRUE
f_313(v453, v454, v455, v456, v457, v461, 1, v619, v458, v462, v463, v464, 0, 3, 2, 4) -> f_317(v453, v454, v455, v456, v457, v461, 1, v619, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0
f_317(v453, v454, v455, v456, v457, v461, 1, v619, v462, v463, v464, 0, 3, 2, 4) -> f_321(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) :|: 1 + v650 = v461 && 0 <= v650
f_321(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) -> f_326(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) :|: TRUE
f_326(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) -> f_330(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) :|: TRUE
f_330(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) -> f_334(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) :|: TRUE
f_334(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 2, 4) -> f_271(v453, v454, v455, v456, v457, v461, 1, v619, v650, v462, v463, v464, 0, 3, 4) :|: TRUE
f_271(v453, v454, v455, v456, v457, v458, 1, v460, v461, v462, v463, v464, 0, 3, 4) -> f_274(v453, v454, v455, v456, v457, v461, 1, v460, v458, v462, v463, v464, 0, 3, 4) :|: 0 = 0
Combined rules. Obtained 2 rulesP rules:
f_274(v453:0, v454:0, v455:0, v456:0, v457:0, 1 + v650:0, 1, v460:0, v458:0, v462:0, v463:0, v464:0, 0, 3, 4) -> f_274(v453:0, v454:0, v455:0, v456:0, v457:0, v650:0, 1, v619:0, 1 + v650:0, v462:0, v463:0, v464:0, 0, 3, 4) :|: v458:0 > 1 && v650:0 > -1 && v456:0 > 1 && v619:0 < 0
f_274(v453:0, v454:0, v455:0, v456:0, v457:0, 1 + v650:0, 1, v460:0, v458:0, v462:0, v463:0, v464:0, 0, 3, 4) -> f_274(v453:0, v454:0, v455:0, v456:0, v457:0, v650:0, 1, v619:0, 1 + v650:0, v462:0, v463:0, v464:0, 0, 3, 4) :|: v458:0 > 1 && v650:0 > -1 && v456:0 > 1 && v619:0 > 0
Filtered unneeded arguments:
   f_274(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f_274(x4, x6, x9)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_274(v456:0, sum~cons_1~v650:0, v458:0) -> f_274(v456:0, v650:0, 1 + v650:0) :|: v650:0 > -1 && v456:0 > 1 && v458:0 > 1 && sum~cons_1~v650:0 = 1 + v650:0

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(31)
Obligation:
Rules:
f_274(v456:0, sum~cons_1~v650:0, v458:0) -> f_274(v456:0, v650:0, 1 + v650:0) :|: v650:0 > -1 && v456:0 > 1 && v458:0 > 1 && sum~cons_1~v650:0 = 1 + v650:0

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

(33)
Obligation:
Rules:
f_274(v456:0:0, sum~cons_1~v650:0:0, v458:0:0) -> f_274(v456:0:0, v650:0:0, 1 + v650:0:0) :|: v650:0:0 > -1 && v456:0:0 > 1 && v458:0:0 > 1 && sum~cons_1~v650:0:0 = 1 + v650:0:0

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(34) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_274 ] = f_274_2

The following rules are decreasing:
f_274(v456:0:0, sum~cons_1~v650:0:0, v458:0:0) -> f_274(v456:0:0, v650:0:0, 1 + v650:0:0) :|: v650:0:0 > -1 && v456:0:0 > 1 && v458:0:0 > 1 && sum~cons_1~v650:0:0 = 1 + v650:0:0

The following rules are bounded:
f_274(v456:0:0, sum~cons_1~v650:0:0, v458:0:0) -> f_274(v456:0:0, v650:0:0, 1 + v650:0:0) :|: v650:0:0 > -1 && v456:0:0 > 1 && v458:0:0 > 1 && sum~cons_1~v650:0:0 = 1 + v650:0:0


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(35)
YES