/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 178 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1492 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) LLVM Symbolic Execution SCC
        (8) SCC2IRS [SOUND, 126 ms]
        (9) IntTRS
        (10) IRS2T2 [EQUIVALENT, 0 ms]
        (11) T2IntSys
        (12) T2 [EQUIVALENT, 885 ms]
        (13) YES
    (14) LLVM Symbolic Execution SCC
        (15) SCC2IRS [SOUND, 74 ms]
        (16) IntTRS
        (17) IntTRSCompressionProof [EQUIVALENT, 1 ms]
        (18) IntTRS
        (19) PolynomialOrderProcessor [EQUIVALENT, 9 ms]
        (20) 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:

Name: x initVal: null type: *i32 addrSpace: null alignment: 8 threadLocal: false constant: false linkageType: COMMON section: null

Function declarations and definitions:

*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
*BasicFunctionTypename: "foo" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		%2 = load @x
		%3 = load %2
		%4 = add %3 -1
		store %4, %2
		%5 = load %1
		ret %5

*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
	0:
		%1 = alloca i32, align 4
		store 0, %1
		%2 = alloca i8, numElementsLit: 4
		%3 = bitcast *i8 %2 to *i32
		store %3, @x
		%4 = call i32 @__VERIFIER_nondet_int()
		%5 = load @x
		store %4, %5
		br %6
	6:
		%7 = load @x
		%8 = load %7
		%9 = icmp sgt %8 0
		br %9, %10, %18
	10:
		%11 = call i32 @__VERIFIER_nondet_int()
		%12 = icmp ne %11 0
		br %12, %13, %15
	13:
		%14 = call i32 @foo()
		br %17
	15:
		%16 = call i32 @foo()
		br %17
	17:
		br %6
	18:
		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 2 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_235(v189, v212, v196, v190, v197, v191, v198, v213, 0, v193, v192, 1, 7, 3, 8, 4) -> f_238(v189, v212, v191, v196, v190, v197, v198, v213, 0, v193, v192, 1, 7, 3, 8, 4) :|: 0 = 0
f_238(v189, v212, v191, v196, v190, v197, v198, v213, 0, v193, v192, 1, 7, 3, 8, 4) -> f_241(v189, v212, v191, v193, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) :|: 0 = 0
f_241(v189, v212, v191, v193, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) -> f_244(v189, v212, v191, v193, v216, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) :|: 1 + v216 = v193 && 0 <= v216
f_244(v189, v212, v191, v193, v216, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) -> f_247(v189, v212, v191, v193, v216, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) :|: TRUE
f_247(v189, v212, v191, v193, v216, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) -> f_250(v189, v212, v191, v193, v216, v224, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) :|: TRUE
f_250(v189, v212, v191, v193, v216, v224, v196, v190, v197, v198, v213, 0, v192, 1, 7, 3, 8, 4) -> f_253(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) :|: 0 = 0
f_253(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) -> f_256(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) :|: TRUE
f_256(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) -> f_259(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) :|: TRUE
f_259(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) -> f_261(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) :|: 0 = 0
f_261(v189, v190, v191, v192, v193, 1, 0, v224, v196, v197, v198, v216, 7, 3, 8, 4) -> f_263(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 8, 4) :|: 0 = 0
f_263(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 8, 4) -> f_266(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: 0 < v216 && 2 <= v192
f_266(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_270(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: 0 = 0
f_270(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_274(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: TRUE
f_274(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_277(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: TRUE
f_277(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_280(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: v269 != 0
f_277(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_281(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: v269 = 0
f_280(v189, v190, v191, v192, v216, 1, v269, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_284(v189, v190, v191, v192, v216, 1, v269, v224, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 = 0
f_284(v189, v190, v191, v192, v216, 1, v269, v224, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_288(v189, v190, v191, v192, v216, 1, v269, v224, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: TRUE
f_288(v189, v190, v191, v192, v216, 1, v269, v224, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_292(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: TRUE
f_292(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_295(v189, v318, v196, v190, v197, v191, v198, v319, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: 1 <= v318 && v319 = 3 + v318 && 4 <= v319
f_295(v189, v318, v196, v190, v197, v191, v198, v319, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_297(v189, v318, v191, v196, v190, v197, v198, v319, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: 0 = 0
f_297(v189, v318, v191, v196, v190, v197, v198, v319, 0, v216, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_299(v189, v318, v191, v216, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: 0 = 0
f_299(v189, v318, v191, v216, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_301(v189, v318, v191, v216, v321, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: 1 + v321 = v216 && 0 <= v321
f_301(v189, v318, v191, v216, v321, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_303(v189, v318, v191, v216, v321, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: TRUE
f_303(v189, v318, v191, v216, v321, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_305(v189, v318, v191, v216, v321, v326, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: TRUE
f_305(v189, v318, v191, v216, v321, v326, v196, v190, v197, v198, v319, 0, v192, 1, v269, v224, 7, 3, 2, 8, 4) -> f_307(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) :|: 0 = 0
f_307(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) -> f_309(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) :|: TRUE
f_309(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) -> f_311(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) :|: TRUE
f_311(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) -> f_312(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) :|: 0 = 0
f_312(v189, v190, v191, v192, v216, 1, v269, v224, v326, v196, v197, v198, 0, v321, 7, 3, 2, 8, 4) -> f_313(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 = 0
f_313(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_314(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 < v321 && 3 <= v192
f_314(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_316(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 = 0
f_316(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_318(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: TRUE
f_318(v189, v190, v191, v192, v321, 1, v269, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_320(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: TRUE
f_320(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_321(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: v411 != 0
f_320(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_322(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) :|: v411 = 0
f_321(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_323(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: 0 = 0
f_323(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_325(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) :|: TRUE
f_325(v189, v190, v191, v192, v321, 1, v411, v224, v326, v196, v197, v198, 0, 7, 3, 2, 8, 4) -> f_327(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v411, v224, v326, 7, 3, 2, 8, 4) :|: TRUE
f_327(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v411, v224, v326, 7, 3, 2, 8, 4) -> f_292(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v269, v224, 7, 3, 2, 8, 4) :|: TRUE
f_322(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) -> f_324(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) :|: 0 = 0
f_324(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) -> f_326(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) :|: TRUE
f_326(v189, v190, v191, v192, v321, 1, 0, v224, v326, v196, v197, v198, 7, 3, 2, 8, 4) -> f_328(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v224, v326, 7, 3, 2, 8, 4) :|: TRUE
f_328(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, v224, v326, 7, 3, 2, 8, 4) -> f_232(v189, v196, v190, v197, v191, v198, 0, v321, v192, 1, 7, 3, 8, 4) :|: TRUE
f_232(v189, v196, v190, v197, v191, v198, 0, v193, v192, 1, 7, 3, 8, 4) -> f_235(v189, v212, v196, v190, v197, v191, v198, v213, 0, v193, v192, 1, 7, 3, 8, 4) :|: 1 <= v212 && v213 = 3 + v212 && 4 <= v213
f_281(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_285(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: 0 = 0
f_285(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_289(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) :|: TRUE
f_289(v189, v190, v191, v192, v216, 1, 0, v224, v196, v197, v198, 7, 3, 2, 8, 4) -> f_293(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, v224, 7, 3, 2, 8, 4) :|: TRUE
f_293(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, v224, 7, 3, 2, 8, 4) -> f_232(v189, v196, v190, v197, v191, v198, 0, v216, v192, 1, 7, 3, 8, 4) :|: TRUE
Combined rules. Obtained 6 rulesP rules:
f_320(v189:0, v190:0, v191:0, v192:0, 1 + v321:1, 1, v411:0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) -> f_320(v189:0, v190:0, v191:0, v192:0, v321:1, 1, v411:1, v224:0, v326:1, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) :|: v321:1 > 0 && v318:0 > 0 && v411:0 < 0 && v192:0 > 2
f_320(v189:0, v190:0, v191:0, v192:0, 1 + v321:1, 1, v411:0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) -> f_320(v189:0, v190:0, v191:0, v192:0, v321:1, 1, v411:1, v224:0, v326:1, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) :|: v321:1 > 0 && v318:0 > 0 && v411:0 > 0 && v192:0 > 2
f_235(v189:0, v212:0, v196:0, v190:0, v197:0, v191:0, v198:0, v213:0, 0, 1 + (1 + v321:0), v192:0, 1, 7, 3, 8, 4) -> f_320(v189:0, v190:0, v191:0, v192:0, v321:0, 1, v411:0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) :|: v321:0 > 0 && v192:0 > 2 && v269:0 < 0 && v318:0 > 0
f_235(v189:0, v212:0, v196:0, v190:0, v197:0, v191:0, v198:0, v213:0, 0, 1 + (1 + v321:0), v192:0, 1, 7, 3, 8, 4) -> f_320(v189:0, v190:0, v191:0, v192:0, v321:0, 1, v411:0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) :|: v321:0 > 0 && v192:0 > 2 && v269:0 > 0 && v318:0 > 0
f_320(v189:0, v190:0, v191:0, v192:0, v321:0, 1, 0, v224:0, v326:0, v196:0, v197:0, v198:0, 0, 7, 3, 2, 8, 4) -> f_235(v189:0, v212:0, v196:0, v190:0, v197:0, v191:0, v198:0, 3 + v212:0, 0, v321:0, v192:0, 1, 7, 3, 8, 4) :|: v212:0 > 0
f_235(v189:0, v212:0, v196:0, v190:0, v197:0, v191:0, v198:0, v213:0, 0, 1 + v216:0, v192:0, 1, 7, 3, 8, 4) -> f_235(v189:0, v212:1, v196:0, v190:0, v197:0, v191:0, v198:0, 3 + v212:1, 0, v216:0, v192:0, 1, 7, 3, 8, 4) :|: v216:0 > 0 && v192:0 > 1 && v212:1 > 0
Filtered unneeded arguments:
   f_320(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_320(x4, x5, x7)
   f_235(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_235(x10, x11)
Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.P rules:
f_320(v192:0, sum~cons_1~v321:1, v411:0) -> f_320(v192:0, v321:1, v411:1) :|: v411:0 < 0 && v192:0 > 2 && v321:1 > 0 && sum~cons_1~v321:1 = 1 + v321:1
f_320(v192:0, sum~cons_1~v321:1, v411:0) -> f_320(v192:0, v321:1, v411:1) :|: v411:0 > 0 && v192:0 > 2 && v321:1 > 0 && sum~cons_1~v321:1 = 1 + v321:1
f_235(sum~cons_1~sum~cons_1~v321:0, v192:0) -> f_320(v192:0, v321:0, v411:0) :|: v321:0 > 0 && v192:0 > 2 && sum~cons_1~sum~cons_1~v321:0 = 1 + (1 + v321:0)
f_320(v192:0, v321:0, cons_0) -> f_235(v321:0, v192:0) :|: TRUE && cons_0 = 0
f_235(sum~cons_1~v216:0, v192:0) -> f_235(v216:0, v192:0) :|: v216:0 > 0 && v192:0 > 1 && sum~cons_1~v216:0 = 1 + v216:0

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

(9)
Obligation:
Rules:
f_320(v192:0, sum~cons_1~v321:1, v411:0) -> f_320(v192:0, v321:1, v411:1) :|: v411:0 < 0 && v192:0 > 2 && v321:1 > 0 && sum~cons_1~v321:1 = 1 + v321:1
f_320(x, x1, x2) -> f_320(x, x3, x4) :|: x2 > 0 && x > 2 && x3 > 0 && x1 = 1 + x3
f_235(x5, x6) -> f_320(x6, x7, x8) :|: x7 > 0 && x6 > 2 && x5 = 1 + (1 + x7)
f_320(x9, x10, x11) -> f_235(x10, x9) :|: TRUE && x11 = 0
f_235(x12, x13) -> f_235(x14, x13) :|: x14 > 0 && x13 > 1 && 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_320_3,1)
   (f_235_3,2)

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

(11)
Obligation:
START: 0;

FROM: 0;
TO: 1;

FROM: 0;
TO: 2;

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

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

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

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := nondet();
assume(0 = 0 && oldX2 = 0);
x0 := oldX1;
x1 := oldX0;
x2 := oldX3;
TO: 2;

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


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

(12) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 2, 5, 6, 7, 17, 20, 21 using the following rank functions:
    - Rank function 1:
      RF for loc. 6: 5+3*x1
      RF for loc. 7: 1+3*x0
      RF for loc. 8: 4+3*x1
      RF for loc. 12: 3*x0
      Bound for (chained) transitions 5: 10
      Bound for (chained) transitions 6: 10
      Bound for (chained) transitions 20: 9
      Bound for (chained) transitions 21: 6
    - Rank function 2:
      RF for loc. 6: 3
      RF for loc. 7: 1
      RF for loc. 8: 2
      RF for loc. 12: 0
      Bound for (chained) transitions 2: 3
      Bound for (chained) transitions 7: 2
      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 20 rulesP rules:
f_278(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_282(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: 0 = 0
f_282(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_286(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: TRUE
f_286(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_290(v238, v246, v239, v247, v240, v248, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: TRUE
f_290(v238, v246, v239, v247, v240, v248, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_294(v238, v316, v246, v239, v247, v240, v248, v317, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: 1 <= v316 && v317 = 3 + v316 && 4 <= v317
f_294(v238, v316, v246, v239, v247, v240, v248, v317, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_296(v238, v316, v240, v246, v239, v247, v248, v317, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: 0 = 0
f_296(v238, v316, v240, v246, v239, v247, v248, v317, 0, v250, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_298(v238, v316, v240, v250, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: 0 = 0
f_298(v238, v316, v240, v250, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_300(v238, v316, v240, v250, v320, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: 1 + v320 = v250 && 0 <= v320
f_300(v238, v316, v240, v250, v320, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_302(v238, v316, v240, v250, v320, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: TRUE
f_302(v238, v316, v240, v250, v320, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_304(v238, v316, v240, v250, v320, v324, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) :|: TRUE
f_304(v238, v316, v240, v250, v320, v324, v246, v239, v247, v248, v317, 0, v241, 1, v268, v245, 7, 3, 2, 8, 4) -> f_306(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) :|: 0 = 0
f_306(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) -> f_308(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) :|: TRUE
f_308(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) -> f_310(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) :|: TRUE
f_310(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 2, 8, 4) -> f_258(v238, v239, v240, v241, v250, 1, v268, v324, v246, v247, v248, 0, v320, 7, 3, 8, 4) :|: TRUE
f_258(v238, v239, v240, v241, v242, 1, v244, v245, v246, v247, v248, 0, v250, 7, 3, 8, 4) -> f_260(v238, v239, v240, v241, v242, 1, v244, v245, v246, v247, v248, 0, v250, 7, 3, 8, 4) :|: 0 = 0
f_260(v238, v239, v240, v241, v242, 1, v244, v245, v246, v247, v248, 0, v250, 7, 3, 8, 4) -> f_262(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 8, 4) :|: 0 = 0
f_262(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 8, 4) -> f_264(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: 0 < v250 && 2 <= v241
f_264(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_268(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: 0 = 0
f_268(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_272(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: TRUE
f_272(v238, v239, v240, v241, v250, 1, v244, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_276(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: TRUE
f_276(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) -> f_278(v238, v239, v240, v241, v250, 1, v268, v245, v246, v247, v248, 0, 7, 3, 2, 8, 4) :|: v268 != 0
Combined rules. Obtained 2 rulesP rules:
f_278(v238:0, v239:0, v240:0, v241:0, 1 + v320:0, 1, v268:0, v245:0, v246:0, v247:0, v248:0, 0, 7, 3, 2, 8, 4) -> f_278(v238:0, v239:0, v240:0, v241:0, v320:0, 1, v268:1, v324:0, v246:0, v247:0, v248:0, 0, 7, 3, 2, 8, 4) :|: v320:0 > 0 && v316:0 > 0 && v268:1 < 0 && v241:0 > 1
f_278(v238:0, v239:0, v240:0, v241:0, 1 + v320:0, 1, v268:0, v245:0, v246:0, v247:0, v248:0, 0, 7, 3, 2, 8, 4) -> f_278(v238:0, v239:0, v240:0, v241:0, v320:0, 1, v268:1, v324:0, v246:0, v247:0, v248:0, 0, 7, 3, 2, 8, 4) :|: v320:0 > 0 && v316:0 > 0 && v268:1 > 0 && v241:0 > 1
Filtered unneeded arguments:
   f_278(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_278(x4, x5)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_278(v241:0, sum~cons_1~v320:0) -> f_278(v241:0, v320:0) :|: v320:0 > 0 && v241:0 > 1 && sum~cons_1~v320:0 = 1 + v320:0

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

(16)
Obligation:
Rules:
f_278(v241:0, sum~cons_1~v320:0) -> f_278(v241:0, v320:0) :|: v320:0 > 0 && v241:0 > 1 && sum~cons_1~v320:0 = 1 + v320:0

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

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

(18)
Obligation:
Rules:
f_278(v241:0:0, sum~cons_1~v320:0:0) -> f_278(v241:0:0, v320:0:0) :|: v320:0:0 > 0 && v241:0:0 > 1 && sum~cons_1~v320:0:0 = 1 + v320:0:0

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

(19) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f_278(x, x1)] = x1

The following rules are decreasing:
f_278(v241:0:0, sum~cons_1~v320:0:0) -> f_278(v241:0:0, v320:0:0) :|: v320:0:0 > 0 && v241:0:0 > 1 && sum~cons_1~v320:0:0 = 1 + v320:0:0
The following rules are bounded:
f_278(v241:0:0, sum~cons_1~v320:0:0) -> f_278(v241:0:0, v320:0:0) :|: v320:0:0 > 0 && v241:0:0 > 1 && sum~cons_1~v320:0:0 = 1 + v320:0:0

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

(20)
YES