/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 179 ms]
(2) LLVM problem
(3) LLVMToTerminationGraphProof [EQUIVALENT, 1401 ms]
(4) LLVM Symbolic Execution Graph
(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
(6) AND
    (7) LLVM Symbolic Execution SCC
        (8) SCC2IRS [SOUND, 50 ms]
        (9) IntTRS
        (10) IRS2T2 [EQUIVALENT, 0 ms]
        (11) T2IntSys
        (12) T2 [EQUIVALENT, 614 ms]
        (13) YES
    (14) LLVM Symbolic Execution SCC
        (15) SCC2IRS [SOUND, 18 ms]
        (16) IntTRS
        (17) IRS2T2 [EQUIVALENT, 0 ms]
        (18) T2IntSys
        (19) T2 [EQUIVALENT, 574 ms]
        (20) YES
    (21) LLVM Symbolic Execution SCC
        (22) SCC2IRS [SOUND, 54 ms]
        (23) IntTRS
        (24) RankingReductionPairProof [EQUIVALENT, 0 ms]
        (25) 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
		%i = alloca i32, align 4
		store 0, %1
		%2 = call i32 @__VERIFIER_nondet_int()
		store %2, %i
		br %3
	3:
		%4 = load %i
		%5 = icmp slt %4 255
		br %5, %6, %16
	6:
		%7 = call i32 @__VERIFIER_nondet_int()
		%8 = icmp ne %7 0
		br %8, %9, %12
	9:
		%10 = load %i
		%11 = add %10 1
		store %11, %i
		br %15
	12:
		%13 = load %i
		%14 = add %13 2
		store %14, %i
		br %15
	15:
		br %3
	16:
		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 43 rulesP rules:
f_274(v477, v478, v479, v480, 1, 0, v483, v484, v486, v487, v488, 3, 254, 253, 4) -> f_276(v477, v478, v479, v480, 1, 0, v483, v484, v490, v487, v488, 3, 2, 254, 253, 4, 256) :|: v490 = 2 + v480 && v490 <= 256
f_276(v477, v478, v479, v480, 1, 0, v483, v484, v490, v487, v488, 3, 2, 254, 253, 4, 256) -> f_278(v477, v478, v479, v480, 1, 0, v483, v484, v490, v487, v488, 3, 2, 254, 253, 4, 256) :|: TRUE
f_278(v477, v478, v479, v480, 1, 0, v483, v484, v490, v487, v488, 3, 2, 254, 253, 4, 256) -> f_281(v477, v478, v479, v480, 1, 0, v483, v484, v490, v487, v488, 3, 2, 254, 253, 4, 256) :|: TRUE
f_281(v477, v478, v479, v480, 1, 0, v483, v484, v490, v487, v488, 3, 2, 254, 253, 4, 256) -> f_283(v477, v478, v479, v480, 1, 0, v483, v484, v490, v487, v488, 3, 2, 254, 253, 4, 256) :|: TRUE
f_283(v477, v478, v479, v480, 1, 0, v483, v484, v490, v487, v488, 3, 2, 254, 253, 4, 256) -> f_285(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 253, 4, 256) :|: 0 = 0
f_285(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 253, 4, 256) -> f_288(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) :|: v490 < 255 && v480 <= 252 && v483 <= 251 && v484 <= 252
f_288(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_292(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) :|: 0 = 0
f_292(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_296(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) :|: TRUE
f_296(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_299(v477, v478, v479, v490, 1, v628, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) :|: TRUE
f_299(v477, v478, v479, v490, 1, v628, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_302(v477, v478, v479, v490, 1, v628, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) :|: v628 != 0
f_299(v477, v478, v479, v490, 1, v628, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_303(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) :|: v628 = 0
f_302(v477, v478, v479, v490, 1, v628, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_306(v477, v478, v479, v490, 1, v628, v483, v484, v480, v487, v488, 0, 3, 2, 254, 252, 251, 4) :|: 0 = 0
f_306(v477, v478, v479, v490, 1, v628, v483, v484, v480, v487, v488, 0, 3, 2, 254, 252, 251, 4) -> f_311(v477, v478, v479, v490, 1, v628, v483, v484, v480, v487, v488, 0, 3, 2, 254, 252, 251, 4) :|: TRUE
f_311(v477, v478, v479, v490, 1, v628, v483, v484, v480, v487, v488, 0, 3, 2, 254, 252, 251, 4) -> f_309(v477, v478, v479, v490, 1, v628, v483, v484, v480, v490, v487, v488, 0, 3, 2, 254, 253, 252, 4) :|: TRUE
f_309(v644, v645, v646, v647, 1, v649, v650, v651, v652, v653, v654, v655, 0, 3, 2, 254, 253, 252, 4) -> f_313(v644, v645, v646, v647, 1, v649, v651, v652, v653, v654, v655, 0, 3, 2, 254, 252, 4) :|: 0 = 0
f_313(v644, v645, v646, v647, 1, v649, v651, v652, v653, v654, v655, 0, 3, 2, 254, 252, 4) -> f_315(v644, v645, v646, v647, 1, v649, v734, v652, v653, v654, v655, 0, 3, 2, 254, 252, 4, 255) :|: v734 = 1 + v647 && v734 <= 255
f_315(v644, v645, v646, v647, 1, v649, v734, v652, v653, v654, v655, 0, 3, 2, 254, 252, 4, 255) -> f_317(v644, v645, v646, v647, 1, v649, v734, v652, v653, v654, v655, 0, 3, 2, 254, 252, 4, 255) :|: TRUE
f_317(v644, v645, v646, v647, 1, v649, v734, v652, v653, v654, v655, 0, 3, 2, 254, 252, 4, 255) -> f_319(v644, v645, v646, v647, 1, v649, v734, v652, v653, v654, v655, 0, 3, 2, 254, 252, 4, 255) :|: TRUE
f_319(v644, v645, v646, v647, 1, v649, v734, v652, v653, v654, v655, 0, 3, 2, 254, 252, 4, 255) -> f_280(v644, v645, v646, v647, 1, v649, v652, v653, v734, v654, v655, 0, 3, 2, 254, 252, 255, 4) :|: TRUE
f_280(v512, v513, v514, v515, 1, v517, v518, v519, v520, v521, v522, 0, 3, 2, 254, 252, 255, 4) -> f_282(v512, v513, v514, v515, 1, v517, v518, v519, v520, v521, v522, 0, 3, 2, 254, 252, 255, 4) :|: TRUE
f_282(v512, v513, v514, v515, 1, v517, v518, v519, v520, v521, v522, 0, 3, 2, 254, 252, 255, 4) -> f_284(v512, v513, v514, v520, 1, v517, v518, v519, v515, v521, v522, 0, 3, 2, 254, 252, 255, 4) :|: 0 = 0
f_284(v512, v513, v514, v520, 1, v517, v518, v519, v515, v521, v522, 0, 3, 2, 254, 252, 255, 4) -> f_286(v512, v513, v514, v520, 1, v517, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) :|: v520 < 255 && v515 <= 253 && v519 <= 253 && v518 <= 251
f_286(v512, v513, v514, v520, 1, v517, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) -> f_290(v512, v513, v514, v520, 1, v517, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) :|: 0 = 0
f_290(v512, v513, v514, v520, 1, v517, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) -> f_294(v512, v513, v514, v520, 1, v517, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) :|: TRUE
f_294(v512, v513, v514, v520, 1, v517, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) -> f_298(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) :|: TRUE
f_298(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) -> f_300(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) :|: v627 != 0
f_298(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) -> f_301(v512, v513, v514, v520, 1, 0, v518, v519, v515, v521, v522, 3, 2, 254, 253, 251, 4) :|: v627 = 0
f_300(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) -> f_304(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) :|: 0 = 0
f_304(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) -> f_308(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) :|: TRUE
f_308(v512, v513, v514, v520, 1, v627, v518, v519, v515, v521, v522, 0, 3, 2, 254, 253, 251, 4) -> f_309(v512, v513, v514, v520, 1, v627, v515, v520, v518, v519, v521, v522, 0, 3, 2, 254, 253, 252, 4) :|: TRUE
f_301(v512, v513, v514, v520, 1, 0, v518, v519, v515, v521, v522, 3, 2, 254, 253, 251, 4) -> f_305(v512, v513, v514, v520, 1, 0, v518, v519, v515, v521, v522, 3, 2, 254, 253, 251, 4) :|: 0 = 0
f_305(v512, v513, v514, v520, 1, 0, v518, v519, v515, v521, v522, 3, 2, 254, 253, 251, 4) -> f_310(v512, v513, v514, v520, 1, 0, v518, v519, v515, v521, v522, 3, 2, 254, 253, 251, 4) :|: TRUE
f_310(v512, v513, v514, v520, 1, 0, v518, v519, v515, v521, v522, 3, 2, 254, 253, 251, 4) -> f_314(v512, v513, v514, v520, 1, 0, v519, v515, v521, v522, 3, 254, 253, 4) :|: 0 = 0
f_314(v512, v513, v514, v520, 1, 0, v519, v515, v521, v522, 3, 254, 253, 4) -> f_316(v512, v513, v514, v520, 1, 0, v735, v515, v521, v522, 3, 2, 254, 253, 4, 256) :|: v735 = 2 + v520 && v735 <= 256
f_316(v512, v513, v514, v520, 1, 0, v735, v515, v521, v522, 3, 2, 254, 253, 4, 256) -> f_318(v512, v513, v514, v520, 1, 0, v735, v515, v521, v522, 3, 2, 254, 253, 4, 256) :|: TRUE
f_318(v512, v513, v514, v520, 1, 0, v735, v515, v521, v522, 3, 2, 254, 253, 4, 256) -> f_320(v512, v513, v514, v520, 1, 0, v735, v515, v521, v522, 3, 2, 254, 253, 4, 256) :|: TRUE
f_320(v512, v513, v514, v520, 1, 0, v735, v515, v521, v522, 3, 2, 254, 253, 4, 256) -> f_321(v512, v513, v514, v520, 1, 0, v515, v735, v521, v522, 3, 2, 254, 253, 256, 4) :|: TRUE
f_321(v787, v788, v789, v790, 1, 0, v793, v794, v795, v796, 3, 2, 254, 253, 256, 4) -> f_322(v787, v788, v789, v790, 1, 0, v793, v794, v795, v796, 3, 2, 254, 253, 256, 4) :|: TRUE
f_322(v787, v788, v789, v790, 1, 0, v793, v794, v795, v796, 3, 2, 254, 253, 256, 4) -> f_283(v787, v788, v789, v790, 1, 0, v793, v790, v794, v795, v796, 3, 2, 254, 253, 4, 256) :|: TRUE
f_303(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_307(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) :|: 0 = 0
f_307(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_312(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) :|: TRUE
f_312(v477, v478, v479, v490, 1, 0, v483, v484, v480, v487, v488, 3, 2, 254, 252, 251, 4) -> f_272(v477, v478, v479, v490, 1, 0, v483, v484, v480, v490, v487, v488, 3, 2, 254, 253, 252, 4) :|: TRUE
f_272(v477, v478, v479, v480, 1, 0, v483, v484, v485, v486, v487, v488, 3, 2, 254, 253, 252, 4) -> f_274(v477, v478, v479, v480, 1, 0, v483, v484, v486, v487, v488, 3, 254, 253, 4) :|: 0 = 0
Combined rules. Obtained 6 rulesP rules:
f_298(v512:0, v513:0, v514:0, v520:0, 1, v627:0, v518:0, v519:0, v515:0, v521:0, v522:0, 0, 3, 2, 254, 253, 251, 4) -> f_298(v512:0, v513:0, v514:0, 1 + v520:0, 1, v627:1, v518:0, v519:0, v520:0, v521:0, v522:0, 0, 3, 2, 254, 253, 251, 4) :|: v520:0 < 255 && v520:0 < 254 && v519:0 < 254 && v627:0 < 0 && v518:0 < 252
f_298(v512:0, v513:0, v514:0, v520:0, 1, v627:0, v518:0, v519:0, v515:0, v521:0, v522:0, 0, 3, 2, 254, 253, 251, 4) -> f_298(v512:0, v513:0, v514:0, 1 + v520:0, 1, v627:1, v518:0, v519:0, v520:0, v521:0, v522:0, 0, 3, 2, 254, 253, 251, 4) :|: v520:0 < 255 && v520:0 < 254 && v519:0 < 254 && v627:0 > 0 && v518:0 < 252
f_299(v477:0, v478:0, v479:0, v490:0, 1, 0, 0, v483:0, v484:0, v480:0, v487:0, v488:0, 3, 2, 254, 252, 251, 4) -> f_299(v477:0, v478:0, v479:0, 2 + v490:0, 1, v628:1, 0, v483:0, v484:0, v490:0, v487:0, v488:0, 3, 2, 254, 252, 251, 4) :|: v490:0 < 255 && v490:0 < 253 && v484:0 < 253 && v483:0 < 252
f_299(v477:0, v478:0, v479:0, v490:0, 1, v628:0, 0, v483:0, v484:0, v480:0, v487:0, v488:0, 3, 2, 254, 252, 251, 4) -> f_298(v477:0, v478:0, v479:0, 1 + v490:0, 1, v627:0, v480:0, v490:0, v490:0, v487:0, v488:0, 0, 3, 2, 254, 253, 251, 4) :|: v628:0 < 0 && v490:0 < 255 && v490:0 < 254 && v480:0 < 252
f_299(v477:0, v478:0, v479:0, v490:0, 1, v628:0, 0, v483:0, v484:0, v480:0, v487:0, v488:0, 3, 2, 254, 252, 251, 4) -> f_298(v477:0, v478:0, v479:0, 1 + v490:0, 1, v627:0, v480:0, v490:0, v490:0, v487:0, v488:0, 0, 3, 2, 254, 253, 251, 4) :|: v628:0 > 0 && v490:0 < 255 && v490:0 < 254 && v480:0 < 252
f_298(v512:0, v513:0, v514:0, v520:0, 1, 0, v518:0, v519:0, v515:0, v521:0, v522:0, 0, 3, 2, 254, 253, 251, 4) -> f_299(v512:0, v513:0, v514:0, 2 + v520:0, 1, v628:0, 0, v515:0, v520:0, v520:0, v521:0, v522:0, 3, 2, 254, 252, 251, 4) :|: v520:0 < 253 && v515:0 < 252 && v520:0 < 255
Filtered unneeded arguments:
   f_298(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_298(x4, x6, x7, x8, x9)
   f_299(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_299(x4, x6, x8, x9, x10)
Removed division, modulo operations, cleaned up constraints. Obtained 6 rules.P rules:
f_298(v520:0, v627:0, v518:0, v519:0, v515:0) -> f_298(1 + v520:0, v627:1, v518:0, v519:0, v520:0) :|: v520:0 < 254 && v520:0 < 255 && v519:0 < 254 && v518:0 < 252 && v627:0 < 0
f_298(v520:0, v627:0, v518:0, v519:0, v515:0) -> f_298(1 + v520:0, v627:1, v518:0, v519:0, v520:0) :|: v520:0 < 254 && v520:0 < 255 && v519:0 < 254 && v518:0 < 252 && v627:0 > 0
f_299(v490:0, cons_0, v483:0, v484:0, v480:0) -> f_299(2 + v490:0, v628:1, v483:0, v484:0, v490:0) :|: v490:0 < 253 && v490:0 < 255 && v483:0 < 252 && v484:0 < 253 && cons_0 = 0
f_299(v490:0, v628:0, v483:0, v484:0, v480:0) -> f_298(1 + v490:0, v627:0, v480:0, v490:0, v490:0) :|: v490:0 < 255 && v628:0 < 0 && v480:0 < 252 && v490:0 < 254
f_299(v490:0, v628:0, v483:0, v484:0, v480:0) -> f_298(1 + v490:0, v627:0, v480:0, v490:0, v490:0) :|: v490:0 < 255 && v628:0 > 0 && v480:0 < 252 && v490:0 < 254
f_298(v520:0, cons_0, v518:0, v519:0, v515:0) -> f_299(2 + v520:0, v628:0, v515:0, v520:0, v520:0) :|: v515:0 < 252 && v520:0 < 255 && v520:0 < 253 && cons_0 = 0

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

(9)
Obligation:
Rules:
f_298(v520:0, v627:0, v518:0, v519:0, v515:0) -> f_298(1 + v520:0, v627:1, v518:0, v519:0, v520:0) :|: v520:0 < 254 && v520:0 < 255 && v519:0 < 254 && v518:0 < 252 && v627:0 < 0
f_298(x, x1, x2, x3, x4) -> f_298(1 + x, x5, x2, x3, x) :|: x < 254 && x < 255 && x3 < 254 && x2 < 252 && x1 > 0
f_299(v490:0, cons_0, v483:0, v484:0, v480:0) -> f_299(2 + v490:0, v628:1, v483:0, v484:0, v490:0) :|: v490:0 < 253 && v490:0 < 255 && v483:0 < 252 && v484:0 < 253 && cons_0 = 0
f_299(x6, x7, x8, x9, x10) -> f_298(1 + x6, x11, x10, x6, x6) :|: x6 < 255 && x7 < 0 && x10 < 252 && x6 < 254
f_299(x12, x13, x14, x15, x16) -> f_298(1 + x12, x17, x16, x12, x12) :|: x12 < 255 && x13 > 0 && x16 < 252 && x12 < 254
f_298(x18, x19, x20, x21, x22) -> f_299(2 + x18, x23, x22, x18, x18) :|: x22 < 252 && x18 < 255 && x18 < 253 && x19 = 0

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

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

   (f_298_5,1)
   (f_299_5,2)

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

(11)
Obligation:
START: 0;

FROM: 0;
TO: 1;

FROM: 0;
TO: 2;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := nondet();
assume(oldX0 < 254 && oldX0 < 255 && oldX3 < 254 && oldX2 < 252 && oldX1 < 0);
x0 := 1 + oldX0;
x1 := oldX5;
x2 := oldX2;
x3 := oldX3;
x4 := oldX0;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := nondet();
assume(oldX0 < 254 && oldX0 < 255 && oldX3 < 254 && oldX2 < 252 && oldX1 > 0);
x0 := 1 + oldX0;
x1 := oldX5;
x2 := oldX2;
x3 := oldX3;
x4 := oldX0;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := nondet();
assume(oldX0 < 253 && oldX0 < 255 && oldX2 < 252 && oldX3 < 253 && oldX1 = 0);
x0 := 2 + oldX0;
x1 := oldX5;
x2 := oldX2;
x3 := oldX3;
x4 := oldX0;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := nondet();
assume(oldX0 < 255 && oldX1 < 0 && oldX4 < 252 && oldX0 < 254);
x0 := 1 + oldX0;
x1 := oldX5;
x2 := oldX4;
x3 := oldX0;
x4 := oldX0;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := nondet();
assume(oldX0 < 255 && oldX1 > 0 && oldX4 < 252 && oldX0 < 254);
x0 := 1 + oldX0;
x1 := oldX5;
x2 := oldX4;
x3 := oldX0;
x4 := oldX0;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := nondet();
assume(oldX4 < 252 && oldX0 < 255 && oldX0 < 253 && oldX1 = 0);
x0 := 2 + oldX0;
x1 := oldX5;
x2 := oldX4;
x3 := oldX0;
x4 := oldX0;
TO: 2;


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

(12) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 2, 5, 6, 7, 17, 20, 21, 22 using the following rank functions:
    - Rank function 1:
      RF for loc. 6: -2-3*x0
      RF for loc. 7: 1-3*x0
      RF for loc. 8: -3-3*x0
      RF for loc. 12: -3*x0
      Bound for (chained) transitions 5: -765
      Bound for (chained) transitions 6: -765
      Bound for (chained) transitions 7: -759
      Bound for (chained) transitions 21: -759
      Bound for (chained) transitions 22: -759
    - Rank function 2:
      RF for loc. 6: 1
      RF for loc. 7: -x0
      RF for loc. 8: 0
      RF for loc. 12: -1-x0
      Bound for (chained) transitions 20: -255
    - Rank function 3:
      RF for loc. 6: 1
      RF for loc. 7: 1
      RF for loc. 8: 0
      RF for loc. 12: 0
      Bound for (chained) transitions 2: 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 14 rulesP rules:
f_196(v211, v212, v213, v217, 1, v216, v214, v218, v219, 0, 3, 254, 255, 4) -> f_198(v211, v212, v213, v217, 1, v216, v214, v218, v219, 0, 3, 253, 254, 4) :|: v217 < 255 && v214 <= 253 && v213 <= 253
f_198(v211, v212, v213, v217, 1, v216, v214, v218, v219, 0, 3, 253, 254, 4) -> f_202(v211, v212, v213, v217, 1, v216, v214, v218, v219, 0, 3, 253, 254, 4) :|: 0 = 0
f_202(v211, v212, v213, v217, 1, v216, v214, v218, v219, 0, 3, 253, 254, 4) -> f_206(v211, v212, v213, v217, 1, v216, v214, v218, v219, 0, 3, 253, 254, 4) :|: TRUE
f_206(v211, v212, v213, v217, 1, v216, v214, v218, v219, 0, 3, 253, 254, 4) -> f_210(v211, v212, v213, v217, 1, v231, v214, v218, v219, 0, 3, 253, 254, 4) :|: TRUE
f_210(v211, v212, v213, v217, 1, v231, v214, v218, v219, 0, 3, 253, 254, 4) -> f_212(v211, v212, v213, v217, 1, v231, v214, v218, v219, 0, 3, 253, 254, 4) :|: v231 != 0
f_212(v211, v212, v213, v217, 1, v231, v214, v218, v219, 0, 3, 253, 254, 4) -> f_216(v211, v212, v213, v217, 1, v231, v214, v218, v219, 0, 3, 253, 254, 4) :|: 0 = 0
f_216(v211, v212, v213, v217, 1, v231, v214, v218, v219, 0, 3, 253, 254, 4) -> f_220(v211, v212, v213, v217, 1, v231, v214, v218, v219, 0, 3, 253, 254, 4) :|: TRUE
f_220(v211, v212, v213, v217, 1, v231, v214, v218, v219, 0, 3, 253, 254, 4) -> f_224(v211, v212, v213, v217, 1, v231, v218, v219, 0, 3, 253, 254, 4) :|: 0 = 0
f_224(v211, v212, v213, v217, 1, v231, v218, v219, 0, 3, 253, 254, 4) -> f_228(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 253, 254, 4, 255) :|: v237 = 1 + v217 && v237 <= 255
f_228(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 253, 254, 4, 255) -> f_232(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 253, 254, 4, 255) :|: TRUE
f_232(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 253, 254, 4, 255) -> f_236(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 253, 254, 4, 255) :|: TRUE
f_236(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 253, 254, 4, 255) -> f_240(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 253, 254, 4, 255) :|: TRUE
f_240(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 253, 254, 4, 255) -> f_194(v211, v212, v213, v217, 1, v231, v237, v218, v219, 0, 3, 254, 255, 4) :|: TRUE
f_194(v211, v212, v213, v214, 1, v216, v217, v218, v219, 0, 3, 254, 255, 4) -> f_196(v211, v212, v213, v217, 1, v216, v214, v218, v219, 0, 3, 254, 255, 4) :|: 0 = 0
Combined rules. Obtained 2 rulesP rules:
f_196(v211:0, v212:0, v213:0, v217:0, 1, v216:0, v214:0, v218:0, v219:0, 0, 3, 254, 255, 4) -> f_196(v211:0, v212:0, v213:0, 1 + v217:0, 1, v231:0, v217:0, v218:0, v219:0, 0, 3, 254, 255, 4) :|: v214:0 < 254 && v217:0 < 255 && v213:0 < 254 && v231:0 < 0
f_196(v211:0, v212:0, v213:0, v217:0, 1, v216:0, v214:0, v218:0, v219:0, 0, 3, 254, 255, 4) -> f_196(v211:0, v212:0, v213:0, 1 + v217:0, 1, v231:0, v217:0, v218:0, v219:0, 0, 3, 254, 255, 4) :|: v214:0 < 254 && v217:0 < 255 && v213:0 < 254 && v231:0 > 0
Filtered unneeded arguments:
   f_196(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> f_196(x3, x4, x7)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_196(v213:0, v217:0, v214:0) -> f_196(v213:0, 1 + v217:0, v217:0) :|: v217:0 < 255 && v213:0 < 254 && v214:0 < 254

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

(16)
Obligation:
Rules:
f_196(v213:0, v217:0, v214:0) -> f_196(v213:0, 1 + v217:0, v217:0) :|: v217:0 < 255 && v213:0 < 254 && v214:0 < 254

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

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

   (f_196_3,1)

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

(18)
Obligation:
START: 0;

FROM: 0;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
assume(oldX1 < 255 && oldX0 < 254 && oldX2 < 254);
x0 := oldX0;
x1 := 1 + oldX1;
x2 := oldX1;
TO: 1;


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

(19) T2 (EQUIVALENT)
Initially, performed program simplifications using lexicographic rank functions:
 * Removed transitions 1, 3, 4 using the following rank functions:
    - Rank function 1:
      RF for loc. 5: 1-2*x1
      RF for loc. 6: -2*x1
      Bound for (chained) transitions 3: -508
      Bound for (chained) transitions 4: -508
    - Rank function 2:
      RF for loc. 5: 0
      RF for loc. 6: -1
      Bound for (chained) transitions 1: 0

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

(20)
YES

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

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

(22) SCC2IRS (SOUND)
Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
Generated rules. Obtained 14 rulesP rules:
f_195(v184, v185, v186, v187, 1, 0, v190, v191, v192, 3, 2, 254, 256, 4) -> f_197(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 256, 4) :|: 0 = 0
f_197(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 256, 4) -> f_200(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) :|: v190 < 255 && v187 <= 252
f_200(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) -> f_204(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) :|: 0 = 0
f_204(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) -> f_208(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) :|: TRUE
f_208(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) -> f_211(v184, v185, v186, v190, 1, v232, 0, v187, v191, v192, 3, 2, 254, 252, 4) :|: TRUE
f_211(v184, v185, v186, v190, 1, v232, 0, v187, v191, v192, 3, 2, 254, 252, 4) -> f_215(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) :|: v232 = 0
f_215(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) -> f_219(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) :|: 0 = 0
f_219(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) -> f_223(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) :|: TRUE
f_223(v184, v185, v186, v190, 1, 0, v187, v191, v192, 3, 2, 254, 252, 4) -> f_227(v184, v185, v186, v190, 1, 0, v191, v192, 3, 254, 4) :|: 0 = 0
f_227(v184, v185, v186, v190, 1, 0, v191, v192, 3, 254, 4) -> f_231(v184, v185, v186, v190, 1, 0, v240, v191, v192, 3, 2, 254, 4, 256) :|: v240 = 2 + v190 && v240 <= 256
f_231(v184, v185, v186, v190, 1, 0, v240, v191, v192, 3, 2, 254, 4, 256) -> f_235(v184, v185, v186, v190, 1, 0, v240, v191, v192, 3, 2, 254, 4, 256) :|: TRUE
f_235(v184, v185, v186, v190, 1, 0, v240, v191, v192, 3, 2, 254, 4, 256) -> f_239(v184, v185, v186, v190, 1, 0, v240, v191, v192, 3, 2, 254, 4, 256) :|: TRUE
f_239(v184, v185, v186, v190, 1, 0, v240, v191, v192, 3, 2, 254, 4, 256) -> f_192(v184, v185, v186, v190, 1, 0, v240, v191, v192, 3, 2, 254, 256, 4) :|: TRUE
f_192(v184, v185, v186, v187, 1, 0, v190, v191, v192, 3, 2, 254, 256, 4) -> f_195(v184, v185, v186, v187, 1, 0, v190, v191, v192, 3, 2, 254, 256, 4) :|: TRUE
Combined rules. Obtained 1 rulesP rules:
f_195(v184:0, v185:0, v186:0, v187:0, 1, 0, v190:0, v191:0, v192:0, 3, 2, 254, 256, 4) -> f_195(v184:0, v185:0, v186:0, v190:0, 1, 0, 2 + v190:0, v191:0, v192:0, 3, 2, 254, 256, 4) :|: v187:0 < 253 && v190:0 < 255
Filtered unneeded arguments:
   f_195(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> f_195(x4, x7)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
f_195(v187:0, v190:0) -> f_195(v190:0, 2 + v190:0) :|: v187:0 < 253 && v190:0 < 255

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

(23)
Obligation:
Rules:
f_195(v187:0, v190:0) -> f_195(v190:0, 2 + v190:0) :|: v187:0 < 253 && v190:0 < 255

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

(24) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f_195 ] = -1/2*f_195_2

The following rules are decreasing:
f_195(v187:0, v190:0) -> f_195(v190:0, 2 + v190:0) :|: v187:0 < 253 && v190:0 < 255

The following rules are bounded:
f_195(v187:0, v190:0) -> f_195(v190:0, 2 + v190:0) :|: v187:0 < 253 && v190:0 < 255


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

(25)
YES