15.08/5.29	YES
15.31/5.31	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
15.31/5.31	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
15.31/5.31	
15.31/5.31	
15.31/5.31	Termination of the given C Problem could be proven:
15.31/5.31	
15.31/5.31	(0) C Problem
15.31/5.31	(1) CToLLVMProof [EQUIVALENT, 169 ms]
15.31/5.31	(2) LLVM problem
15.31/5.31	(3) LLVMToTerminationGraphProof [EQUIVALENT, 2490 ms]
15.31/5.31	(4) LLVM Symbolic Execution Graph
15.31/5.31	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
15.31/5.31	(6) LLVM Symbolic Execution SCC
15.31/5.31	(7) SCC2IRS [SOUND, 73 ms]
15.31/5.31	(8) IntTRS
15.31/5.31	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
15.31/5.31	(10) IntTRS
15.31/5.31	(11) PolynomialOrderProcessor [EQUIVALENT, 14 ms]
15.31/5.31	(12) YES
15.31/5.31	
15.31/5.31	
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(0)
15.31/5.31	Obligation:
15.31/5.31	c file /export/starexec/sandbox/benchmark/theBenchmark.c
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(1) CToLLVMProof (EQUIVALENT)
15.31/5.31	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(2)
15.31/5.31	Obligation:
15.31/5.31	LLVM Problem
15.31/5.31	
15.31/5.31	Aliases:
15.31/5.31	
15.31/5.31	Data layout:
15.31/5.31	
15.31/5.31	"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"
15.31/5.31	
15.31/5.31	Machine:
15.31/5.31	
15.31/5.31	"x86_64-pc-linux-gnu"
15.31/5.31	
15.31/5.31	Type definitions:
15.31/5.31	
15.31/5.31	Global variables:
15.31/5.31	
15.31/5.31	Function declarations and definitions:
15.31/5.31	
15.31/5.31	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
15.31/5.31	*BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
15.31/5.31		0:
15.31/5.31			%1 = alloca i32, align 4
15.31/5.31			%2 = alloca i32, align 4
15.31/5.31			%3 = alloca i32, align 4
15.31/5.31			%c = alloca i32, align 4
15.31/5.31			store %x, %1
15.31/5.31			store %y, %2
15.31/5.31			store %z, %3
15.31/5.31			store 0, %c
15.31/5.31			br %4
15.31/5.31		4:
15.31/5.31			%5 = load %1
15.31/5.31			%6 = load %2
15.31/5.31			%7 = icmp sgt %5 %6
15.31/5.31			br %7, %8, %12
15.31/5.31		8:
15.31/5.31			%9 = load %1
15.31/5.31			%10 = load %3
15.31/5.31			%11 = icmp sgt %9 %10
15.31/5.31			br %12
15.31/5.31		12:
15.31/5.31			%13 = phi [0, %4], [%11, %8]
15.31/5.31			br %13, %14, %21
15.31/5.31		14:
15.31/5.31			%15 = load %2
15.31/5.31			%16 = add %15 1
15.31/5.31			store %16, %2
15.31/5.31			%17 = load %3
15.31/5.31			%18 = add %17 1
15.31/5.31			store %18, %3
15.31/5.31			%19 = load %c
15.31/5.31			%20 = add %19 1
15.31/5.31			store %20, %c
15.31/5.31			br %4
15.31/5.31		21:
15.31/5.31			%22 = load %c
15.31/5.31			ret %22
15.31/5.31	
15.31/5.31	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
15.31/5.31		0:
15.31/5.31			%1 = alloca i32, align 4
15.31/5.31			store 0, %1
15.31/5.31			%2 = call i32 @__VERIFIER_nondet_int()
15.31/5.31			%3 = call i32 @__VERIFIER_nondet_int()
15.31/5.31			%4 = call i32 @__VERIFIER_nondet_int()
15.31/5.31			%5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4)
15.31/5.31			ret %5
15.31/5.31	
15.31/5.31	
15.31/5.31	Analyze Termination of all function calls matching the pattern:
15.31/5.31	main()
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(3) LLVMToTerminationGraphProof (EQUIVALENT)
15.31/5.31	Constructed symbolic execution graph for LLVM program and proved memory safety.
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(4)
15.31/5.31	Obligation:
15.31/5.31	SE Graph
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(5) SymbolicExecutionGraphToSCCProof (SOUND)
15.31/5.31	Splitted symbolic execution graph to 1 SCC.
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(6)
15.31/5.31	Obligation:
15.31/5.31	SCC
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(7) SCC2IRS (SOUND)
15.31/5.31	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
15.31/5.31	Generated rules. Obtained 22 rulesP rules:
15.31/5.31	f_337(v640, v641, v642, v643, v644, v645, v646, v647, 1, v649, v650, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_338(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_338(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_339(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v650 < v640
15.31/5.31	f_339(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_341(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_341(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_343(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
15.31/5.31	f_343(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_345(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_345(v640, v641, v642, v643, v644, v645, v646, v650, 1, v649, v647, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_347(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_347(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_349(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v651 < v640
15.31/5.31	f_349(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_352(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_352(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_354(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_354(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_356(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
15.31/5.31	f_356(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v647, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_358(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_358(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_360(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v759 = 1 + v650
15.31/5.31	f_360(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_362(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
15.31/5.31	f_362(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v649, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_363(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_363(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_364(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: v761 = 1 + v651
15.31/5.31	f_364(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_365(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
15.31/5.31	f_365(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_366(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	f_366(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_367(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: v763 = 1 + v653 && 2 <= v763
15.31/5.31	f_367(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_368(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: TRUE
15.31/5.31	f_368(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_369(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) :|: TRUE
15.31/5.31	f_369(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4, 2) -> f_336(v640, v641, v642, v643, v644, v645, v646, v650, 1, v651, v759, v761, v653, v763, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: TRUE
15.31/5.31	f_336(v640, v641, v642, v643, v644, v645, v646, v647, 1, v649, v650, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) -> f_337(v640, v641, v642, v643, v644, v645, v646, v647, 1, v649, v650, v651, v652, v653, v654, v655, v656, v657, v658, v659, 0, 3, 4) :|: 0 = 0
15.31/5.31	Combined rules. Obtained 1 rulesP rules:
15.31/5.31	f_337(v640:0, v641:0, v642:0, v643:0, v644:0, v645:0, v646:0, v647:0, 1, v649:0, v650:0, v651:0, v652:0, v653:0, v654:0, v655:0, v656:0, v657:0, v658:0, v659:0, 0, 3, 4) -> f_337(v640:0, v641:0, v642:0, v643:0, v644:0, v645:0, v646:0, v650:0, 1, v651:0, 1 + v650:0, 1 + v651:0, v653:0, 1 + v653:0, v654:0, v655:0, v656:0, v657:0, v658:0, v659:0, 0, 3, 4) :|: v650:0 < v640:0 && v653:0 > 0 && v651:0 < v640:0
15.31/5.31	Filtered unneeded arguments:
15.31/5.31	   f_337(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f_337(x1, x11, x12, x14)
15.31/5.31	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
15.31/5.31	f_337(v640:0, v650:0, v651:0, v653:0) -> f_337(v640:0, 1 + v650:0, 1 + v651:0, 1 + v653:0) :|: v653:0 > 0 && v651:0 < v640:0 && v650:0 < v640:0
15.31/5.31	
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(8)
15.31/5.31	Obligation:
15.31/5.31	Rules:
15.31/5.31	f_337(v640:0, v650:0, v651:0, v653:0) -> f_337(v640:0, 1 + v650:0, 1 + v651:0, 1 + v653:0) :|: v653:0 > 0 && v651:0 < v640:0 && v650:0 < v640:0
15.31/5.31	
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(9) IntTRSCompressionProof (EQUIVALENT)
15.31/5.31	Compressed rules.
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(10)
15.31/5.31	Obligation:
15.31/5.31	Rules:
15.31/5.31	f_337(v640:0:0, v650:0:0, v651:0:0, v653:0:0) -> f_337(v640:0:0, 1 + v650:0:0, 1 + v651:0:0, 1 + v653:0:0) :|: v653:0:0 > 0 && v651:0:0 < v640:0:0 && v650:0:0 < v640:0:0
15.31/5.31	
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(11) PolynomialOrderProcessor (EQUIVALENT)
15.31/5.31	Found the following polynomial interpretation:
15.31/5.31	[f_337(x, x1, x2, x3)] = x - x2
15.31/5.31	
15.31/5.31	The following rules are decreasing:
15.31/5.31	f_337(v640:0:0, v650:0:0, v651:0:0, v653:0:0) -> f_337(v640:0:0, 1 + v650:0:0, 1 + v651:0:0, 1 + v653:0:0) :|: v653:0:0 > 0 && v651:0:0 < v640:0:0 && v650:0:0 < v640:0:0
15.31/5.31	The following rules are bounded:
15.31/5.31	f_337(v640:0:0, v650:0:0, v651:0:0, v653:0:0) -> f_337(v640:0:0, 1 + v650:0:0, 1 + v651:0:0, 1 + v653:0:0) :|: v653:0:0 > 0 && v651:0:0 < v640:0:0 && v650:0:0 < v640:0:0
15.31/5.31	
15.31/5.31	----------------------------------------
15.31/5.31	
15.31/5.31	(12)
15.31/5.31	YES
15.58/5.48	EOF