20.12/6.73	YES
20.12/6.73	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
20.12/6.73	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
20.12/6.73	
20.12/6.73	
20.12/6.73	Termination of the given C Problem could be proven:
20.12/6.73	
20.12/6.73	(0) C Problem
20.12/6.73	(1) CToLLVMProof [EQUIVALENT, 167 ms]
20.12/6.73	(2) LLVM problem
20.12/6.73	(3) LLVMToTerminationGraphProof [EQUIVALENT, 2086 ms]
20.12/6.73	(4) LLVM Symbolic Execution Graph
20.12/6.73	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
20.12/6.73	(6) LLVM Symbolic Execution SCC
20.12/6.73	(7) SCC2IRS [SOUND, 100 ms]
20.12/6.73	(8) IntTRS
20.12/6.73	(9) IRS2T2 [EQUIVALENT, 0 ms]
20.12/6.73	(10) T2IntSys
20.12/6.73	(11) T2 [EQUIVALENT, 1497 ms]
20.12/6.73	(12) YES
20.12/6.73	
20.12/6.73	
20.12/6.73	----------------------------------------
20.12/6.73	
20.12/6.73	(0)
20.12/6.73	Obligation:
20.12/6.73	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
20.12/6.73	----------------------------------------
20.12/6.73	
20.12/6.73	(1) CToLLVMProof (EQUIVALENT)
20.12/6.73	Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
20.12/6.73	----------------------------------------
20.12/6.73	
20.12/6.73	(2)
20.12/6.73	Obligation:
20.12/6.73	LLVM Problem
20.12/6.73	
20.12/6.73	Aliases:
20.12/6.73	
20.12/6.73	Data layout:
20.12/6.73	
20.12/6.73	"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"
20.12/6.73	
20.12/6.73	Machine:
20.12/6.73	
20.12/6.73	"x86_64-pc-linux-gnu"
20.12/6.73	
20.12/6.73	Type definitions:
20.12/6.73	
20.12/6.73	Global variables:
20.12/6.73	
20.12/6.73	Function declarations and definitions:
20.12/6.73	
20.12/6.73	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc
20.12/6.73	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
20.12/6.73		0:
20.12/6.73			%1 = alloca i32, align 4
20.12/6.73			%x = alloca i32, align 4
20.12/6.73			%y = alloca i32, align 4
20.12/6.73			%z = alloca i32, align 4
20.12/6.73			%n = alloca i32, align 4
20.12/6.73			store 0, %1
20.12/6.73			%2 = call i32 (...)* @__VERIFIER_nondet_int()
20.12/6.73			store %2, %x
20.12/6.73			%3 = call i32 (...)* @__VERIFIER_nondet_int()
20.12/6.73			store %3, %y
20.12/6.73			%4 = call i32 (...)* @__VERIFIER_nondet_int()
20.12/6.73			store %4, %z
20.12/6.73			%5 = call i32 (...)* @__VERIFIER_nondet_int()
20.12/6.73			store %5, %n
20.12/6.73			br %6
20.12/6.73		6:
20.12/6.73			%7 = load %x
20.12/6.73			%8 = load %y
20.12/6.73			%9 = add %7 %8
20.12/6.73			%10 = icmp sge %9 0
20.12/6.73			br %10, %11, %15
20.12/6.73		11:
20.12/6.73			%12 = load %x
20.12/6.73			%13 = load %n
20.12/6.73			%14 = icmp sle %12 %13
20.12/6.73			br %15
20.12/6.73		15:
20.12/6.73			%16 = phi [0, %6], [%14, %11]
20.12/6.73			br %16, %17, %25
20.12/6.73		17:
20.12/6.73			%18 = load %x
20.12/6.73			%19 = mul 2 %18
20.12/6.73			%20 = load %y
20.12/6.73			%21 = add %19 %20
20.12/6.73			store %21, %x
20.12/6.73			%22 = load %z
20.12/6.73			store %22, %y
20.12/6.73			%23 = load %z
20.12/6.73			%24 = add %23 1
20.12/6.73			store %24, %z
20.12/6.73			br %6
20.12/6.73		25:
20.12/6.73			ret 0
20.12/6.73	
20.12/6.73	
20.12/6.73	Analyze Termination of all function calls matching the pattern:
20.12/6.73	main()
20.12/6.73	----------------------------------------
20.12/6.73	
20.12/6.73	(3) LLVMToTerminationGraphProof (EQUIVALENT)
20.12/6.73	Constructed symbolic execution graph for LLVM program and proved memory safety.
20.12/6.73	----------------------------------------
20.12/6.73	
20.12/6.73	(4)
20.12/6.73	Obligation:
20.12/6.73	SE Graph
20.12/6.73	----------------------------------------
20.12/6.73	
20.12/6.73	(5) SymbolicExecutionGraphToSCCProof (SOUND)
20.12/6.73	Splitted symbolic execution graph to 1 SCC.
20.12/6.73	----------------------------------------
20.12/6.73	
20.12/6.73	(6)
20.12/6.73	Obligation:
20.12/6.73	SCC
20.12/6.73	----------------------------------------
20.12/6.73	
20.12/6.73	(7) SCC2IRS (SOUND)
20.12/6.73	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
20.12/6.73	Generated rules. Obtained 24 rulesP rules:
20.12/6.73	f_228(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v351, v352, 1, v350, v354, v356, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_229(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v352, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.73	f_229(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v352, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_230(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: v364 = v355 + v356
20.12/6.73	f_230(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_231(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 <= v364
20.12/6.73	f_231(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_233(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.73	f_233(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_235(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE
20.12/6.73	f_235(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_237(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.73	f_237(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_239(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.74	f_239(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_240(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: v355 <= v349
20.12/6.74	f_240(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_242(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.74	f_242(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_244(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.74	f_244(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_246(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE
20.12/6.74	f_246(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v350, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_248(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 4) :|: 0 = 0
20.12/6.74	f_248(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v354, v351, v357, v358, v359, v360, v361, v362, 0, 3, 4) -> f_249(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: v491 = 2 * v355
20.12/6.74	f_249(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v351, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_250(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.74	f_250(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_251(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: v492 = v491 + v356
20.12/6.74	f_251(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_252(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE
20.12/6.74	f_252(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_253(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.74	f_253(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_254(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE
20.12/6.74	f_254(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_255(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.74	f_255(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_256(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v495, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: v495 = 1 + v357
20.12/6.74	f_256(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v495, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_257(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v495, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE
20.12/6.74	f_257(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v495, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_258(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v495, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE
20.12/6.74	f_258(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v495, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_227(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v356, v364, 1, v491, v492, v357, v495, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE
20.12/6.74	f_227(v341, v342, v343, v344, v345, v346, v347, v348, v349, v350, v351, v352, 1, v354, v355, v356, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_228(v341, v342, v343, v344, v345, v346, v347, v348, v349, v355, v351, v352, 1, v350, v354, v356, v357, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0
20.12/6.74	Combined rules. Obtained 1 rulesP rules:
20.12/6.74	f_228(v341:0, v342:0, v343:0, v344:0, v345:0, v346:0, v347:0, v348:0, v349:0, v355:0, v351:0, v352:0, 1, v350:0, v354:0, v356:0, v357:0, v358:0, v359:0, v360:0, v361:0, v362:0, 0, 3, 2, 4) -> f_228(v341:0, v342:0, v343:0, v344:0, v345:0, v346:0, v347:0, v348:0, v349:0, 2 * v355:0 + v356:0, v356:0, v355:0 + v356:0, 1, v355:0, 2 * v355:0, v357:0, 1 + v357:0, v358:0, v359:0, v360:0, v361:0, v362:0, 0, 3, 2, 4) :|: v355:0 <= v349:0 && v355:0 + v356:0 > -1
20.12/6.74	Filtered unneeded arguments:
20.12/6.74	   f_228(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26) -> f_228(x9, x10, x16, x17)
20.12/6.74	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
20.12/6.74	f_228(v349:0, v355:0, v356:0, v357:0) -> f_228(v349:0, 2 * v355:0 + v356:0, v357:0, 1 + v357:0) :|: v355:0 <= v349:0 && v355:0 + v356:0 > -1
20.12/6.74	
20.12/6.74	----------------------------------------
20.12/6.74	
20.12/6.74	(8)
20.12/6.74	Obligation:
20.12/6.74	Rules:
20.12/6.74	f_228(v349:0, v355:0, v356:0, v357:0) -> f_228(v349:0, 2 * v355:0 + v356:0, v357:0, 1 + v357:0) :|: v355:0 <= v349:0 && v355:0 + v356:0 > -1
20.12/6.74	
20.12/6.74	----------------------------------------
20.12/6.74	
20.12/6.74	(9) IRS2T2 (EQUIVALENT)
20.12/6.74	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
20.12/6.74	
20.12/6.74	   (f_228_4,1)
20.12/6.74	
20.12/6.74	----------------------------------------
20.12/6.74	
20.12/6.74	(10)
20.12/6.74	Obligation:
20.12/6.74	START: 0;
20.12/6.74	
20.12/6.74	FROM: 0;
20.12/6.74	TO: 1;
20.12/6.74	
20.12/6.74	FROM: 1;
20.12/6.74	oldX0 := x0;
20.12/6.74	oldX1 := x1;
20.12/6.74	oldX2 := x2;
20.12/6.74	oldX3 := x3;
20.12/6.74	assume(oldX1 <= oldX0 && oldX1 + oldX2 > -1);
20.12/6.74	x0 := oldX0;
20.12/6.74	x1 := 2 * oldX1 + oldX2;
20.12/6.74	x2 := oldX3;
20.12/6.74	x3 := 1 + oldX3;
20.12/6.74	TO: 1;
20.12/6.74	
20.12/6.74	
20.12/6.74	----------------------------------------
20.12/6.74	
20.12/6.74	(11) T2 (EQUIVALENT)
20.12/6.74	No proof given by T2
20.12/6.74	----------------------------------------
20.12/6.74	
20.12/6.74	(12)
20.12/6.74	YES
20.19/10.37	EOF