30.77/9.77	YES
31.13/9.78	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
31.13/9.78	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
31.13/9.78	
31.13/9.78	
31.13/9.78	Termination of the given C Problem could be proven:
31.13/9.78	
31.13/9.78	(0) C Problem
31.13/9.78	(1) CToLLVMProof [EQUIVALENT, 170 ms]
31.13/9.78	(2) LLVM problem
31.13/9.78	(3) LLVMToTerminationGraphProof [EQUIVALENT, 4581 ms]
31.13/9.78	(4) LLVM Symbolic Execution Graph
31.13/9.78	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
31.13/9.78	(6) AND
31.13/9.78	    (7) LLVM Symbolic Execution SCC
31.13/9.78	        (8) SCC2IRS [SOUND, 33 ms]
31.13/9.78	        (9) IntTRS
31.13/9.78	        (10) IntTRSCompressionProof [EQUIVALENT, 0 ms]
31.13/9.78	        (11) IntTRS
31.13/9.78	        (12) RankingReductionPairProof [EQUIVALENT, 13 ms]
31.13/9.78	        (13) YES
31.13/9.78	    (14) LLVM Symbolic Execution SCC
31.13/9.78	        (15) SCC2IRS [SOUND, 73 ms]
31.13/9.78	        (16) IntTRS
31.13/9.78	        (17) IRS2T2 [EQUIVALENT, 0 ms]
31.13/9.78	        (18) T2IntSys
31.13/9.78	        (19) T2 [EQUIVALENT, 1155 ms]
31.13/9.78	        (20) YES
31.13/9.78	
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(0)
31.13/9.78	Obligation:
31.13/9.78	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(1) CToLLVMProof (EQUIVALENT)
31.13/9.78	Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(2)
31.13/9.78	Obligation:
31.13/9.78	LLVM Problem
31.13/9.78	
31.13/9.78	Aliases:
31.13/9.78	
31.13/9.78	Data layout:
31.13/9.78	
31.13/9.78	"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"
31.13/9.78	
31.13/9.78	Machine:
31.13/9.78	
31.13/9.78	"x86_64-pc-linux-gnu"
31.13/9.78	
31.13/9.78	Type definitions:
31.13/9.78	
31.13/9.78	Global variables:
31.13/9.78	
31.13/9.78	Function declarations and definitions:
31.13/9.78	
31.13/9.78	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
31.13/9.78	*BasicFunctionTypename: "subxy" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
31.13/9.78		0:
31.13/9.78			%1 = alloca i32, align 4
31.13/9.78			%2 = alloca i32, align 4
31.13/9.78			%3 = alloca i32, align 4
31.13/9.78			%z = alloca i32, align 4
31.13/9.78			%i = alloca i32, align 4
31.13/9.78			store %x, %2
31.13/9.78			store %y, %3
31.13/9.78			store 0, %z
31.13/9.78			%4 = load %2
31.13/9.78			store %4, %i
31.13/9.78			%5 = load %3
31.13/9.78			%6 = icmp sle %5 0
31.13/9.78			br %6, %10, %7
31.13/9.78		7:
31.13/9.78			%8 = load %2
31.13/9.78			%9 = icmp sle %8 0
31.13/9.78			br %9, %10, %11
31.13/9.78		10:
31.13/9.78			store 0, %1
31.13/9.78			br %32
31.13/9.78		11:
31.13/9.78			br %12
31.13/9.78		12:
31.13/9.78			%13 = load %i
31.13/9.78			%14 = icmp sgt %13 0
31.13/9.78			br %14, %15, %20
31.13/9.78		15:
31.13/9.78			%16 = load %i
31.13/9.78			%17 = add %16 -1
31.13/9.78			store %17, %i
31.13/9.78			%18 = load %z
31.13/9.78			%19 = add %18 1
31.13/9.78			store %19, %z
31.13/9.78			br %12
31.13/9.78		20:
31.13/9.78			br %21
31.13/9.78		21:
31.13/9.78			%22 = load %i
31.13/9.78			%23 = load %3
31.13/9.78			%24 = icmp slt %22 %23
31.13/9.78			br %24, %25, %30
31.13/9.78		25:
31.13/9.78			%26 = load %i
31.13/9.78			%27 = add %26 1
31.13/9.78			store %27, %i
31.13/9.78			%28 = load %z
31.13/9.78			%29 = add %28 -1
31.13/9.78			store %29, %z
31.13/9.78			br %21
31.13/9.78		30:
31.13/9.78			%31 = load %z
31.13/9.78			store %31, %1
31.13/9.78			br %32
31.13/9.78		32:
31.13/9.78			%33 = load %1
31.13/9.78			ret %33
31.13/9.78	
31.13/9.78	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
31.13/9.78		0:
31.13/9.78			%1 = alloca i32, align 4
31.13/9.78			%x = alloca i32, align 4
31.13/9.78			%y = alloca i32, align 4
31.13/9.78			store 0, %1
31.13/9.78			%2 = call i32 @__VERIFIER_nondet_int()
31.13/9.78			store %2, %x
31.13/9.78			%3 = call i32 @__VERIFIER_nondet_int()
31.13/9.78			store %3, %y
31.13/9.78			%4 = load %x
31.13/9.78			%5 = load %y
31.13/9.78			%6 = call i32 @subxy(i32 %4, i32 %5)
31.13/9.78			ret 0
31.13/9.78	
31.13/9.78	
31.13/9.78	Analyze Termination of all function calls matching the pattern:
31.13/9.78	main()
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(3) LLVMToTerminationGraphProof (EQUIVALENT)
31.13/9.78	Constructed symbolic execution graph for LLVM program and proved memory safety.
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(4)
31.13/9.78	Obligation:
31.13/9.78	SE Graph
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(5) SymbolicExecutionGraphToSCCProof (SOUND)
31.13/9.78	Splitted symbolic execution graph to 2 SCCs.
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(6)
31.13/9.78	Complex Obligation (AND)
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(7)
31.13/9.78	Obligation:
31.13/9.78	SCC
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(8) SCC2IRS (SOUND)
31.13/9.78	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
31.13/9.78	Generated rules. Obtained 13 rulesP rules:
31.13/9.78	f_469(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 4) -> f_470(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 4) :|: 0 = 0
31.13/9.78	f_470(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 4) -> f_471(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: v454 < v443 && 2 <= v443
31.13/9.78	f_471(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_473(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: 0 = 0
31.13/9.78	f_473(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_475(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: TRUE
31.13/9.78	f_475(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_477(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: 0 = 0
31.13/9.78	f_477(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_479(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: v479 = 1 + v454 && 2 <= v479
31.13/9.78	f_479(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_481(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: TRUE
31.13/9.78	f_481(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_483(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: 0 = 0
31.13/9.78	f_483(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_485(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v482, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: 1 + v482 = v456
31.13/9.78	f_485(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v482, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_487(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v482, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: TRUE
31.13/9.78	f_487(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v482, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_488(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v482, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) :|: TRUE
31.13/9.78	f_488(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v482, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 2, 4) -> f_468(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v479, v456, v482, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 4) :|: TRUE
31.13/9.78	f_468(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v453, v454, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 4) -> f_469(v442, v443, v444, v445, v446, v447, v448, 0, 1, v451, v452, v454, v453, v455, v456, v457, v460, v458, v461, v459, v462, v463, v464, v465, v466, v467, 3, 4) :|: 0 = 0
31.13/9.78	Combined rules. Obtained 1 rulesP rules:
31.13/9.78	f_469(v442:0, v443:0, v444:0, v445:0, v446:0, v447:0, v448:0, 0, 1, v451:0, v452:0, v454:0, v453:0, v455:0, 1 + v482:0, v457:0, v460:0, v458:0, v461:0, v459:0, v462:0, v463:0, v464:0, v465:0, v466:0, v467:0, 3, 4) -> f_469(v442:0, v443:0, v444:0, v445:0, v446:0, v447:0, v448:0, 0, 1, v451:0, v452:0, 1 + v454:0, v454:0, 1 + v482:0, v482:0, v457:0, v460:0, v458:0, v461:0, v459:0, v462:0, v463:0, v464:0, v465:0, v466:0, v467:0, 3, 4) :|: v443:0 > 1 && v454:0 > 0 && v454:0 < v443:0
31.13/9.78	Filtered unneeded arguments:
31.13/9.78	   f_469(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, x27, x28) -> f_469(x2, x12, x15)
31.13/9.78	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
31.13/9.78	f_469(v443:0, v454:0, sum~cons_1~v482:0) -> f_469(v443:0, 1 + v454:0, v482:0) :|: v454:0 > 0 && v454:0 < v443:0 && v443:0 > 1 && sum~cons_1~v482:0 = 1 + v482:0
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(9)
31.13/9.78	Obligation:
31.13/9.78	Rules:
31.13/9.78	f_469(v443:0, v454:0, sum~cons_1~v482:0) -> f_469(v443:0, 1 + v454:0, v482:0) :|: v454:0 > 0 && v454:0 < v443:0 && v443:0 > 1 && sum~cons_1~v482:0 = 1 + v482:0
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(10) IntTRSCompressionProof (EQUIVALENT)
31.13/9.78	Compressed rules.
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(11)
31.13/9.78	Obligation:
31.13/9.78	Rules:
31.13/9.78	f_469(v443:0:0, v454:0:0, sum~cons_1~v482:0:0) -> f_469(v443:0:0, 1 + v454:0:0, v482:0:0) :|: v454:0:0 > 0 && v454:0:0 < v443:0:0 && v443:0:0 > 1 && sum~cons_1~v482:0:0 = 1 + v482:0:0
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(12) RankingReductionPairProof (EQUIVALENT)
31.13/9.78	Interpretation:
31.13/9.78	[ f_469 ] = -1*f_469_2 + f_469_1
31.13/9.78	
31.13/9.78	The following rules are decreasing:
31.13/9.78	f_469(v443:0:0, v454:0:0, sum~cons_1~v482:0:0) -> f_469(v443:0:0, 1 + v454:0:0, v482:0:0) :|: v454:0:0 > 0 && v454:0:0 < v443:0:0 && v443:0:0 > 1 && sum~cons_1~v482:0:0 = 1 + v482:0:0
31.13/9.78	
31.13/9.78	The following rules are bounded:
31.13/9.78	f_469(v443:0:0, v454:0:0, sum~cons_1~v482:0:0) -> f_469(v443:0:0, 1 + v454:0:0, v482:0:0) :|: v454:0:0 > 0 && v454:0:0 < v443:0:0 && v443:0:0 > 1 && sum~cons_1~v482:0:0 = 1 + v482:0:0
31.13/9.78	
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(13)
31.13/9.78	YES
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(14)
31.13/9.78	Obligation:
31.13/9.78	SCC
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(15) SCC2IRS (SOUND)
31.13/9.78	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
31.13/9.78	Generated rules. Obtained 12 rulesP rules:
31.13/9.78	f_338(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v148, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 4) -> f_339(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v148, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: 0 < v150 && 2 <= v148 && 2 <= v140
31.13/9.78	f_339(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v148, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_341(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v148, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: 0 = 0
31.13/9.78	f_341(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v148, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_343(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v148, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: TRUE
31.13/9.78	f_343(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v148, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_345(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: 0 = 0
31.13/9.78	f_345(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_347(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: 1 + v164 = v150 && 0 <= v164
31.13/9.78	f_347(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_349(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: TRUE
31.13/9.78	f_349(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_351(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: 0 = 0
31.13/9.78	f_351(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_353(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v166, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: v166 = 1 + v152 && 2 <= v166
31.13/9.78	f_353(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v166, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_355(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v166, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: TRUE
31.13/9.78	f_355(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v166, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_357(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v166, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) :|: TRUE
31.13/9.78	f_357(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v166, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 2, 4) -> f_337(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v164, v152, v166, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 4) :|: TRUE
31.13/9.78	f_337(v140, v141, v142, v143, v144, v145, v146, 0, v148, 1, v150, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 4) -> f_338(v140, v141, v142, v143, v144, v145, v146, 0, v150, 1, v148, v151, v152, v153, v156, v154, v157, v155, v158, v159, v160, v161, v162, v163, 3, 4) :|: 0 = 0
31.13/9.78	Combined rules. Obtained 1 rulesP rules:
31.13/9.78	f_338(v140:0, v141:0, v142:0, v143:0, v144:0, v145:0, v146:0, 0, 1 + v164:0, 1, v148:0, v151:0, v152:0, v153:0, v156:0, v154:0, v157:0, v155:0, v158:0, v159:0, v160:0, v161:0, v162:0, v163:0, 3, 4) -> f_338(v140:0, v141:0, v142:0, v143:0, v144:0, v145:0, v146:0, 0, v164:0, 1, 1 + v164:0, v152:0, 1 + v152:0, v153:0, v156:0, v154:0, v157:0, v155:0, v158:0, v159:0, v160:0, v161:0, v162:0, v163:0, 3, 4) :|: v148:0 > 1 && v164:0 > -1 && v140:0 > 1 && v152:0 > 0
31.13/9.78	Filtered unneeded arguments:
31.13/9.78	   f_338(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_338(x1, x9, x11, x13)
31.13/9.78	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
31.13/9.78	f_338(v140:0, sum~cons_1~v164:0, v148:0, v152:0) -> f_338(v140:0, v164:0, 1 + v164:0, 1 + v152:0) :|: v164:0 > -1 && v148:0 > 1 && v152:0 > 0 && v140:0 > 1 && sum~cons_1~v164:0 = 1 + v164:0
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(16)
31.13/9.78	Obligation:
31.13/9.78	Rules:
31.13/9.78	f_338(v140:0, sum~cons_1~v164:0, v148:0, v152:0) -> f_338(v140:0, v164:0, 1 + v164:0, 1 + v152:0) :|: v164:0 > -1 && v148:0 > 1 && v152:0 > 0 && v140:0 > 1 && sum~cons_1~v164:0 = 1 + v164:0
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(17) IRS2T2 (EQUIVALENT)
31.13/9.78	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
31.13/9.78	
31.13/9.78	   (f_338_4,1)
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(18)
31.13/9.78	Obligation:
31.13/9.78	START: 0;
31.13/9.78	
31.13/9.78	FROM: 0;
31.13/9.78	TO: 1;
31.13/9.78	
31.13/9.78	FROM: 1;
31.13/9.78	oldX0 := x0;
31.13/9.78	oldX1 := x1;
31.13/9.78	oldX2 := x2;
31.13/9.78	oldX3 := x3;
31.13/9.78	oldX4 := oldX1 - 1;
31.13/9.78	assume(oldX4 > -1 && oldX2 > 1 && oldX3 > 0 && oldX0 > 1 && oldX1 = 1 + oldX4);
31.13/9.78	x0 := oldX0;
31.13/9.78	x1 := oldX1 - 1;
31.13/9.78	x2 := 1 + oldX4;
31.13/9.78	x3 := 1 + oldX3;
31.13/9.78	TO: 1;
31.13/9.78	
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(19) T2 (EQUIVALENT)
31.13/9.78	Initially, performed program simplifications using lexicographic rank functions:
31.13/9.78	 * Removed transitions 1, 3, 4 using the following rank functions:
31.13/9.78	    - Rank function 1:
31.13/9.78	      RF for loc. 5: 1+2*x1
31.13/9.78	      RF for loc. 6: 2*x1
31.13/9.78	      Bound for (chained) transitions 3: 2
31.13/9.78	      Bound for (chained) transitions 4: 2
31.13/9.78	    - Rank function 2:
31.13/9.78	      RF for loc. 5: 0
31.13/9.78	      RF for loc. 6: -1
31.13/9.78	      Bound for (chained) transitions 1: 0
31.13/9.78	
31.13/9.78	----------------------------------------
31.13/9.78	
31.13/9.78	(20)
31.13/9.78	YES
31.19/11.92	EOF