28.22/8.72	YES
28.40/8.73	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
28.40/8.73	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
28.40/8.73	
28.40/8.73	
28.40/8.73	Termination of the given C Problem could be proven:
28.40/8.73	
28.40/8.73	(0) C Problem
28.40/8.73	(1) CToLLVMProof [EQUIVALENT, 173 ms]
28.40/8.73	(2) LLVM problem
28.40/8.73	(3) LLVMToTerminationGraphProof [EQUIVALENT, 3498 ms]
28.40/8.73	(4) LLVM Symbolic Execution Graph
28.40/8.73	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
28.40/8.73	(6) AND
28.40/8.73	    (7) LLVM Symbolic Execution SCC
28.40/8.73	        (8) SCC2IRS [SOUND, 50 ms]
28.40/8.73	        (9) IntTRS
28.40/8.73	        (10) IntTRSCompressionProof [EQUIVALENT, 2 ms]
28.40/8.73	        (11) IntTRS
28.40/8.73	        (12) RankingReductionPairProof [EQUIVALENT, 0 ms]
28.40/8.73	        (13) YES
28.40/8.73	    (14) LLVM Symbolic Execution SCC
28.40/8.73	        (15) SCC2IRS [SOUND, 89 ms]
28.40/8.73	        (16) IntTRS
28.40/8.73	        (17) IntTRSCompressionProof [EQUIVALENT, 0 ms]
28.40/8.73	        (18) IntTRS
28.40/8.73	        (19) RankingReductionPairProof [EQUIVALENT, 5 ms]
28.40/8.73	        (20) YES
28.40/8.73	    (21) LLVM Symbolic Execution SCC
28.40/8.73	        (22) SCC2IRS [SOUND, 32 ms]
28.40/8.73	        (23) IntTRS
28.40/8.73	        (24) IRS2T2 [EQUIVALENT, 0 ms]
28.40/8.73	        (25) T2IntSys
28.40/8.73	        (26) T2 [EQUIVALENT, 573 ms]
28.40/8.73	        (27) YES
28.40/8.73	
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(0)
28.40/8.73	Obligation:
28.40/8.73	c file /export/starexec/sandbox/benchmark/theBenchmark.c
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(1) CToLLVMProof (EQUIVALENT)
28.40/8.73	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(2)
28.40/8.73	Obligation:
28.40/8.73	LLVM Problem
28.40/8.73	
28.40/8.73	Aliases:
28.40/8.73	
28.40/8.73	Data layout:
28.40/8.73	
28.40/8.73	"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"
28.40/8.73	
28.40/8.73	Machine:
28.40/8.73	
28.40/8.73	"x86_64-pc-linux-gnu"
28.40/8.73	
28.40/8.73	Type definitions:
28.40/8.73	
28.40/8.73	Global variables:
28.40/8.73	
28.40/8.73	Function declarations and definitions:
28.40/8.73	
28.40/8.73	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
28.40/8.73	*BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
28.40/8.73		0:
28.40/8.73			%1 = alloca i32, align 4
28.40/8.73			%2 = alloca i32, align 4
28.40/8.73			%3 = alloca i32, align 4
28.40/8.73			%c = alloca i32, align 4
28.40/8.73			store %x, %1
28.40/8.73			store %y, %2
28.40/8.73			store %z, %3
28.40/8.73			store 0, %c
28.40/8.73			br %4
28.40/8.73		4:
28.40/8.73			%5 = load %1
28.40/8.73			%6 = load %3
28.40/8.73			%7 = icmp sgt %5 %6
28.40/8.73			br %7, %8, %23
28.40/8.73		8:
28.40/8.73			br %9
28.40/8.73		9:
28.40/8.73			%10 = load %2
28.40/8.73			%11 = load %3
28.40/8.73			%12 = icmp sgt %10 %11
28.40/8.73			br %12, %13, %18
28.40/8.73		13:
28.40/8.73			%14 = load %2
28.40/8.73			%15 = sub %14 1
28.40/8.73			store %15, %2
28.40/8.73			%16 = load %c
28.40/8.73			%17 = add %16 1
28.40/8.73			store %17, %c
28.40/8.73			br %9
28.40/8.73		18:
28.40/8.73			%19 = load %c
28.40/8.73			%20 = add %19 1
28.40/8.73			store %20, %c
28.40/8.73			%21 = load %1
28.40/8.73			%22 = sub %21 1
28.40/8.73			store %22, %1
28.40/8.73			br %4
28.40/8.73		23:
28.40/8.73			%24 = load %c
28.40/8.73			ret %24
28.40/8.73	
28.40/8.73	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
28.40/8.73		0:
28.40/8.73			%1 = alloca i32, align 4
28.40/8.73			store 0, %1
28.40/8.73			%2 = call i32 @__VERIFIER_nondet_int()
28.40/8.73			%3 = call i32 @__VERIFIER_nondet_int()
28.40/8.73			%4 = call i32 @__VERIFIER_nondet_int()
28.40/8.73			%5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4)
28.40/8.73			ret %5
28.40/8.73	
28.40/8.73	
28.40/8.73	Analyze Termination of all function calls matching the pattern:
28.40/8.73	main()
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(3) LLVMToTerminationGraphProof (EQUIVALENT)
28.40/8.73	Constructed symbolic execution graph for LLVM program and proved memory safety.
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(4)
28.40/8.73	Obligation:
28.40/8.73	SE Graph
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(5) SymbolicExecutionGraphToSCCProof (SOUND)
28.40/8.73	Splitted symbolic execution graph to 3 SCCs.
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(6)
28.40/8.73	Complex Obligation (AND)
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(7)
28.40/8.73	Obligation:
28.40/8.73	SCC
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(8) SCC2IRS (SOUND)
28.40/8.73	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
28.40/8.73	Generated rules. Obtained 18 rulesP rules:
28.40/8.73	f_491(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_492(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 0 = 0
28.40/8.73	f_492(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_493(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: v681 < v694
28.40/8.73	f_493(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_495(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 0 = 0
28.40/8.73	f_495(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_497(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: TRUE
28.40/8.73	f_497(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_499(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: TRUE
28.40/8.73	f_499(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_501(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 0 = 0
28.40/8.73	f_501(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_503(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 0 = 0
28.40/8.73	f_503(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_504(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 0 = 0
28.40/8.73	f_504(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_505(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: TRUE
28.40/8.73	f_505(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_506(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 0 = 0
28.40/8.73	f_506(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_507(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: v756 = 1 + v693 && 3 <= v756
28.40/8.73	f_507(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_508(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: TRUE
28.40/8.73	f_508(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_509(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 0 = 0
28.40/8.73	f_509(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_510(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v758, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 1 + v758 = v694
28.40/8.73	f_510(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v758, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_511(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v758, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: TRUE
28.40/8.73	f_511(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v758, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_512(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v758, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: TRUE
28.40/8.73	f_512(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v758, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_490(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v693, v756, v758, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: TRUE
28.40/8.73	f_490(v679, v680, v681, v682, v683, v684, v685, v686, 1, 0, v689, v690, v691, v692, v693, v694, v695, v696, v697, v698, v699, v700, 3, 2, 4) -> f_491(v679, v680, v681, v682, v683, v684, v685, v694, 1, 0, v689, v690, v691, v692, v693, v686, v695, v696, v697, v698, v699, v700, 3, 2, 4) :|: 0 = 0
28.40/8.73	Combined rules. Obtained 1 rulesP rules:
28.40/8.73	f_491(v679:0, v680:0, v681:0, v682:0, v683:0, v684:0, v685:0, 1 + v758:0, 1, 0, v689:0, v690:0, v691:0, v692:0, v693:0, v686:0, v695:0, v696:0, v697:0, v698:0, v699:0, v700:0, 3, 2, 4) -> f_491(v679:0, v680:0, v681:0, v682:0, v683:0, v684:0, v685:0, v758:0, 1, 0, v689:0, v690:0, v691:0, v693:0, 1 + v693:0, 1 + v758:0, v695:0, v696:0, v697:0, v698:0, v699:0, v700:0, 3, 2, 4) :|: v693:0 > 1 && v681:0 < 1 + v758:0
28.40/8.73	Filtered unneeded arguments:
28.40/8.73	   f_491(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) -> f_491(x3, x8, x15)
28.40/8.73	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
28.40/8.73	f_491(v681:0, sum~cons_1~v758:0, v693:0) -> f_491(v681:0, v758:0, 1 + v693:0) :|: v693:0 > 1 && v681:0 < 1 + v758:0 && sum~cons_1~v758:0 = 1 + v758:0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(9)
28.40/8.73	Obligation:
28.40/8.73	Rules:
28.40/8.73	f_491(v681:0, sum~cons_1~v758:0, v693:0) -> f_491(v681:0, v758:0, 1 + v693:0) :|: v693:0 > 1 && v681:0 < 1 + v758:0 && sum~cons_1~v758:0 = 1 + v758:0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(10) IntTRSCompressionProof (EQUIVALENT)
28.40/8.73	Compressed rules.
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(11)
28.40/8.73	Obligation:
28.40/8.73	Rules:
28.40/8.73	f_491(v681:0:0, sum~cons_1~v758:0:0, v693:0:0) -> f_491(v681:0:0, v758:0:0, 1 + v693:0:0) :|: v693:0:0 > 1 && v681:0:0 < 1 + v758:0:0 && sum~cons_1~v758:0:0 = 1 + v758:0:0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(12) RankingReductionPairProof (EQUIVALENT)
28.40/8.73	Interpretation:
28.40/8.73	[ f_491 ] = -1*f_491_1 + f_491_2
28.40/8.73	
28.40/8.73	The following rules are decreasing:
28.40/8.73	f_491(v681:0:0, sum~cons_1~v758:0:0, v693:0:0) -> f_491(v681:0:0, v758:0:0, 1 + v693:0:0) :|: v693:0:0 > 1 && v681:0:0 < 1 + v758:0:0 && sum~cons_1~v758:0:0 = 1 + v758:0:0
28.40/8.73	
28.40/8.73	The following rules are bounded:
28.40/8.73	f_491(v681:0:0, sum~cons_1~v758:0:0, v693:0:0) -> f_491(v681:0:0, v758:0:0, 1 + v693:0:0) :|: v693:0:0 > 1 && v681:0:0 < 1 + v758:0:0 && sum~cons_1~v758:0:0 = 1 + v758:0:0
28.40/8.73	
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(13)
28.40/8.73	YES
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(14)
28.40/8.73	Obligation:
28.40/8.73	SCC
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(15) SCC2IRS (SOUND)
28.40/8.73	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
28.40/8.73	Generated rules. Obtained 18 rulesP rules:
28.40/8.73	f_442(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_444(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: 0 = 0
28.40/8.73	f_444(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_446(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: v491 < v501
28.40/8.73	f_446(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_450(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: 0 = 0
28.40/8.73	f_450(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_453(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: TRUE
28.40/8.73	f_453(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_456(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: TRUE
28.40/8.73	f_456(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_460(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: 0 = 0
28.40/8.73	f_460(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_464(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: 0 = 0
28.40/8.73	f_464(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_467(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: 0 = 0
28.40/8.73	f_467(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_470(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: TRUE
28.40/8.73	f_470(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_473(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: 0 = 0
28.40/8.73	f_473(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) -> f_475(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v496, v502, v503, v504, v505, v506, v507, 3, 4, 2) :|: v610 = 1 + v500 && 2 <= v610
28.40/8.73	f_475(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v496, v502, v503, v504, v505, v506, v507, 3, 4, 2) -> f_477(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v496, v502, v503, v504, v505, v506, v507, 3, 4, 2) :|: TRUE
28.40/8.73	f_477(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v496, v502, v503, v504, v505, v506, v507, 3, 4, 2) -> f_479(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v502, v503, v504, v505, v506, v507, 3, 4, 2) :|: 0 = 0
28.40/8.73	f_479(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v502, v503, v504, v505, v506, v507, 3, 4, 2) -> f_481(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v630, v502, v503, v504, v505, v506, v507, 3, 4, 2) :|: 1 + v630 = v501
28.40/8.73	f_481(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v630, v502, v503, v504, v505, v506, v507, 3, 4, 2) -> f_483(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v630, v502, v503, v504, v505, v506, v507, 3, 4, 2) :|: TRUE
28.40/8.73	f_483(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v630, v502, v503, v504, v505, v506, v507, 3, 4, 2) -> f_485(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v630, v502, v503, v504, v505, v506, v507, 3, 4, 2) :|: TRUE
28.40/8.73	f_485(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v630, v502, v503, v504, v505, v506, v507, 3, 4, 2) -> f_440(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v500, v610, v630, v502, v503, v504, v505, v506, v507, 3, 4) :|: TRUE
28.40/8.73	f_440(v489, v490, v491, v492, v493, v494, v495, v496, 1, 0, v499, v500, v501, v502, v503, v504, v505, v506, v507, 3, 4) -> f_442(v489, v490, v491, v492, v493, v494, v495, v501, 1, 0, v499, v500, v496, v502, v503, v504, v505, v506, v507, 3, 4) :|: 0 = 0
28.40/8.73	Combined rules. Obtained 1 rulesP rules:
28.40/8.73	f_442(v489:0, v490:0, v491:0, v492:0, v493:0, v494:0, v495:0, 1 + v630:0, 1, 0, v499:0, v500:0, v496:0, v502:0, v503:0, v504:0, v505:0, v506:0, v507:0, 3, 4) -> f_442(v489:0, v490:0, v491:0, v492:0, v493:0, v494:0, v495:0, v630:0, 1, 0, v500:0, 1 + v500:0, 1 + v630:0, v502:0, v503:0, v504:0, v505:0, v506:0, v507:0, 3, 4) :|: v500:0 > 0 && v491:0 < 1 + v630:0
28.40/8.73	Filtered unneeded arguments:
28.40/8.73	   f_442(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_442(x3, x8, x12)
28.40/8.73	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
28.40/8.73	f_442(v491:0, sum~cons_1~v630:0, v500:0) -> f_442(v491:0, v630:0, 1 + v500:0) :|: v500:0 > 0 && v491:0 < 1 + v630:0 && sum~cons_1~v630:0 = 1 + v630:0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(16)
28.40/8.73	Obligation:
28.40/8.73	Rules:
28.40/8.73	f_442(v491:0, sum~cons_1~v630:0, v500:0) -> f_442(v491:0, v630:0, 1 + v500:0) :|: v500:0 > 0 && v491:0 < 1 + v630:0 && sum~cons_1~v630:0 = 1 + v630:0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(17) IntTRSCompressionProof (EQUIVALENT)
28.40/8.73	Compressed rules.
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(18)
28.40/8.73	Obligation:
28.40/8.73	Rules:
28.40/8.73	f_442(v491:0:0, sum~cons_1~v630:0:0, v500:0:0) -> f_442(v491:0:0, v630:0:0, 1 + v500:0:0) :|: v500:0:0 > 0 && v491:0:0 < 1 + v630:0:0 && sum~cons_1~v630:0:0 = 1 + v630:0:0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(19) RankingReductionPairProof (EQUIVALENT)
28.40/8.73	Interpretation:
28.40/8.73	[ f_442 ] = -1*f_442_1 + f_442_2
28.40/8.73	
28.40/8.73	The following rules are decreasing:
28.40/8.73	f_442(v491:0:0, sum~cons_1~v630:0:0, v500:0:0) -> f_442(v491:0:0, v630:0:0, 1 + v500:0:0) :|: v500:0:0 > 0 && v491:0:0 < 1 + v630:0:0 && sum~cons_1~v630:0:0 = 1 + v630:0:0
28.40/8.73	
28.40/8.73	The following rules are bounded:
28.40/8.73	f_442(v491:0:0, sum~cons_1~v630:0:0, v500:0:0) -> f_442(v491:0:0, v630:0:0, 1 + v500:0:0) :|: v500:0:0 > 0 && v491:0:0 < 1 + v630:0:0 && sum~cons_1~v630:0:0 = 1 + v630:0:0
28.40/8.73	
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(20)
28.40/8.73	YES
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(21)
28.40/8.73	Obligation:
28.40/8.73	SCC
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(22) SCC2IRS (SOUND)
28.40/8.73	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
28.40/8.73	Generated rules. Obtained 13 rulesP rules:
28.40/8.73	f_369(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_371(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: 0 = 0
28.40/8.73	f_371(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_373(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: v300 < v307
28.40/8.73	f_373(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_376(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: 0 = 0
28.40/8.73	f_376(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_379(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: TRUE
28.40/8.73	f_379(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_382(v298, v299, v300, v301, v302, v303, v304, 1, v307, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: 0 = 0
28.40/8.73	f_382(v298, v299, v300, v301, v302, v303, v304, 1, v307, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_385(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: 1 + v340 = v307
28.40/8.73	f_385(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_388(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: TRUE
28.40/8.73	f_388(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_392(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: 0 = 0
28.40/8.73	f_392(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_395(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v364, v310, v311, v312, v313, v314, v315, 0, 3, 4, 2) :|: v364 = 1 + v309 && 2 <= v364
28.40/8.73	f_395(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v364, v310, v311, v312, v313, v314, v315, 0, 3, 4, 2) -> f_398(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v364, v310, v311, v312, v313, v314, v315, 0, 3, 4, 2) :|: TRUE
28.40/8.73	f_398(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v364, v310, v311, v312, v313, v314, v315, 0, 3, 4, 2) -> f_402(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v364, v310, v311, v312, v313, v314, v315, 0, 3, 4, 2) :|: TRUE
28.40/8.73	f_402(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v364, v310, v311, v312, v313, v314, v315, 0, 3, 4, 2) -> f_367(v298, v299, v300, v301, v302, v303, v304, 1, v307, v340, v309, v364, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: TRUE
28.40/8.73	f_367(v298, v299, v300, v301, v302, v303, v304, 1, v306, v307, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) -> f_369(v298, v299, v300, v301, v302, v303, v304, 1, v307, v306, v308, v309, v310, v311, v312, v313, v314, v315, 0, 3, 4) :|: 0 = 0
28.40/8.73	Combined rules. Obtained 1 rulesP rules:
28.40/8.73	f_369(v298:0, v299:0, v300:0, v301:0, v302:0, v303:0, v304:0, 1, 1 + v340:0, v306:0, v308:0, v309:0, v310:0, v311:0, v312:0, v313:0, v314:0, v315:0, 0, 3, 4) -> f_369(v298:0, v299:0, v300:0, v301:0, v302:0, v303:0, v304:0, 1, v340:0, 1 + v340:0, v309:0, 1 + v309:0, v310:0, v311:0, v312:0, v313:0, v314:0, v315:0, 0, 3, 4) :|: v309:0 > 0 && v300:0 < 1 + v340:0
28.40/8.73	Filtered unneeded arguments:
28.40/8.73	   f_369(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_369(x3, x9, x12)
28.40/8.73	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
28.40/8.73	f_369(v300:0, sum~cons_1~v340:0, v309:0) -> f_369(v300:0, v340:0, 1 + v309:0) :|: v309:0 > 0 && v300:0 < 1 + v340:0 && sum~cons_1~v340:0 = 1 + v340:0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(23)
28.40/8.73	Obligation:
28.40/8.73	Rules:
28.40/8.73	f_369(v300:0, sum~cons_1~v340:0, v309:0) -> f_369(v300:0, v340:0, 1 + v309:0) :|: v309:0 > 0 && v300:0 < 1 + v340:0 && sum~cons_1~v340:0 = 1 + v340:0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(24) IRS2T2 (EQUIVALENT)
28.40/8.73	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
28.40/8.73	
28.40/8.73	   (f_369_3,1)
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(25)
28.40/8.73	Obligation:
28.40/8.73	START: 0;
28.40/8.73	
28.40/8.73	FROM: 0;
28.40/8.73	TO: 1;
28.40/8.73	
28.40/8.73	FROM: 1;
28.40/8.73	oldX0 := x0;
28.40/8.73	oldX1 := x1;
28.40/8.73	oldX2 := x2;
28.40/8.73	oldX3 := oldX1 - 1;
28.40/8.73	assume(oldX2 > 0 && oldX0 < 1 + oldX3 && oldX1 = 1 + oldX3);
28.40/8.73	x0 := oldX0;
28.40/8.73	x1 := oldX1 - 1;
28.40/8.73	x2 := 1 + oldX2;
28.40/8.73	TO: 1;
28.40/8.73	
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(26) T2 (EQUIVALENT)
28.40/8.73	Initially, performed program simplifications using lexicographic rank functions:
28.40/8.73	 * Removed transitions 1, 3, 4 using the following rank functions:
28.40/8.73	    - Rank function 1:
28.40/8.73	      RF for loc. 5: -x0+x1
28.40/8.73	      RF for loc. 6: -x0+x1
28.40/8.73	      Bound for (chained) transitions 3: 1
28.40/8.73	    - Rank function 2:
28.40/8.73	      RF for loc. 5: 1-2*x0+2*x1
28.40/8.73	      RF for loc. 6: -2*x0+2*x1
28.40/8.73	      Bound for (chained) transitions 4: 2
28.40/8.73	    - Rank function 3:
28.40/8.73	      RF for loc. 5: 0
28.40/8.73	      RF for loc. 6: -1
28.40/8.73	      Bound for (chained) transitions 1: 0
28.40/8.73	
28.40/8.73	----------------------------------------
28.40/8.73	
28.40/8.73	(27)
28.40/8.73	YES
28.44/8.79	EOF