30.22/10.01	YES
30.22/10.02	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
30.22/10.02	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
30.22/10.02	
30.22/10.02	
30.22/10.02	Termination of the given C Problem could be proven:
30.22/10.02	
30.22/10.02	(0) C Problem
30.22/10.02	(1) CToLLVMProof [EQUIVALENT, 174 ms]
30.22/10.02	(2) LLVM problem
30.22/10.02	(3) LLVMToTerminationGraphProof [EQUIVALENT, 5158 ms]
30.22/10.02	(4) LLVM Symbolic Execution Graph
30.22/10.02	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
30.22/10.02	(6) AND
30.22/10.02	    (7) LLVM Symbolic Execution SCC
30.22/10.02	        (8) SCC2IRS [SOUND, 63 ms]
30.22/10.02	        (9) IntTRS
30.22/10.02	        (10) IntTRSCompressionProof [EQUIVALENT, 0 ms]
30.22/10.02	        (11) IntTRS
30.22/10.02	        (12) PolynomialOrderProcessor [EQUIVALENT, 8 ms]
30.22/10.02	        (13) YES
30.22/10.02	    (14) LLVM Symbolic Execution SCC
30.22/10.02	        (15) SCC2IRS [SOUND, 73 ms]
30.22/10.02	        (16) IntTRS
30.22/10.02	        (17) IntTRSCompressionProof [EQUIVALENT, 0 ms]
30.22/10.02	        (18) IntTRS
30.22/10.02	        (19) RankingReductionPairProof [EQUIVALENT, 7 ms]
30.22/10.02	        (20) YES
30.22/10.02	
30.22/10.02	
30.22/10.02	----------------------------------------
30.22/10.02	
30.22/10.02	(0)
30.22/10.02	Obligation:
30.22/10.02	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(1) CToLLVMProof (EQUIVALENT)
30.41/10.02	Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(2)
30.41/10.02	Obligation:
30.41/10.02	LLVM Problem
30.41/10.02	
30.41/10.02	Aliases:
30.41/10.02	
30.41/10.02	Data layout:
30.41/10.02	
30.41/10.02	"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"
30.41/10.02	
30.41/10.02	Machine:
30.41/10.02	
30.41/10.02	"x86_64-pc-linux-gnu"
30.41/10.02	
30.41/10.02	Type definitions:
30.41/10.02	
30.41/10.02	Global variables:
30.41/10.02	
30.41/10.02	Function declarations and definitions:
30.41/10.02	
30.41/10.02	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
30.41/10.02	*BasicFunctionTypename: "f" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (a i32, b i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
30.41/10.02		0:
30.41/10.02			%1 = alloca i32, align 4
30.41/10.02			%2 = alloca i32, align 4
30.41/10.02			%3 = alloca i32, align 4
30.41/10.02			store %a, %2
30.41/10.02			store %b, %3
30.41/10.02			%4 = load %3
30.41/10.02			%5 = icmp eq %4 0
30.41/10.02			br %5, %6, %9
30.41/10.02		6:
30.41/10.02			%7 = load %2
30.41/10.02			%8 = call i32 @g(i32 %7, i32 0)
30.41/10.02			store %8, %1
30.41/10.02			br %15
30.41/10.02		9:
30.41/10.02			%10 = load %2
30.41/10.02			%11 = add 1 %10
30.41/10.02			%12 = load %3
30.41/10.02			%13 = sub %12 1
30.41/10.02			%14 = call i32 @f(i32 %11, i32 %13)
30.41/10.02			store %14, %1
30.41/10.02			br %15
30.41/10.02		15:
30.41/10.02			%16 = load %1
30.41/10.02			ret %16
30.41/10.02	
30.41/10.02	*BasicFunctionTypename: "g" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (c i32, d i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
30.41/10.02		0:
30.41/10.02			%1 = alloca i32, align 4
30.41/10.02			%2 = alloca i32, align 4
30.41/10.02			%3 = alloca i32, align 4
30.41/10.02			store %c, %2
30.41/10.02			store %d, %3
30.41/10.02			%4 = load %2
30.41/10.02			%5 = icmp eq %4 0
30.41/10.02			br %5, %6, %8
30.41/10.02		6:
30.41/10.02			%7 = load %3
30.41/10.02			store %7, %1
30.41/10.02			br %14
30.41/10.02		8:
30.41/10.02			%9 = load %2
30.41/10.02			%10 = sub %9 1
30.41/10.02			%11 = load %3
30.41/10.02			%12 = add 1 %11
30.41/10.02			%13 = call i32 @g(i32 %10, i32 %12)
30.41/10.02			store %13, %1
30.41/10.02			br %14
30.41/10.02		14:
30.41/10.02			%15 = load %1
30.41/10.02			ret %15
30.41/10.02	
30.41/10.02	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
30.41/10.02		0:
30.41/10.02			%1 = alloca i32, align 4
30.41/10.02			%a = alloca i32, align 4
30.41/10.02			%b = alloca i32, align 4
30.41/10.02			store 0, %1
30.41/10.02			%2 = call i32 @__VERIFIER_nondet_int()
30.41/10.02			store %2, %a
30.41/10.02			%3 = call i32 @__VERIFIER_nondet_int()
30.41/10.02			store %3, %b
30.41/10.02			%4 = load %a
30.41/10.02			%5 = icmp sge %4 0
30.41/10.02			br %5, %6, %13
30.41/10.02		6:
30.41/10.02			%7 = load %b
30.41/10.02			%8 = icmp sge %7 0
30.41/10.02			br %8, %9, %13
30.41/10.02		9:
30.41/10.02			%10 = load %a
30.41/10.02			%11 = load %b
30.41/10.02			%12 = call i32 @f(i32 %10, i32 %11)
30.41/10.02			br %13
30.41/10.02		13:
30.41/10.02			ret 0
30.41/10.02	
30.41/10.02	
30.41/10.02	Analyze Termination of all function calls matching the pattern:
30.41/10.02	main()
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(3) LLVMToTerminationGraphProof (EQUIVALENT)
30.41/10.02	Constructed symbolic execution graph for LLVM program and proved memory safety.
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(4)
30.41/10.02	Obligation:
30.41/10.02	SE Graph
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(5) SymbolicExecutionGraphToSCCProof (SOUND)
30.41/10.02	Splitted symbolic execution graph to 2 SCCs.
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(6)
30.41/10.02	Complex Obligation (AND)
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(7)
30.41/10.02	Obligation:
30.41/10.02	SCC
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(8) SCC2IRS (SOUND)
30.41/10.02	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
30.41/10.02	Generated rules. Obtained 16 rulesP rules:
30.41/10.02	f_424(v319, v320, v337, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, 0, v334, v335, v336, 3, 1, 4) -> f_426(v319, v320, v337, v339, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, 0, v334, v335, v336, 3, 1, 4) :|: 1 <= v339 && v340 = 3 + v339 && 4 <= v340
30.41/10.02	f_426(v319, v320, v337, v339, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, 0, v334, v335, v336, 3, 1, 4) -> f_427(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) :|: 1 <= v341 && v342 = 3 + v341 && 4 <= v342
30.41/10.02	f_427(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) -> f_428(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) :|: TRUE
30.41/10.02	f_428(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) -> f_429(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) :|: TRUE
30.41/10.02	f_429(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) -> f_430(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_430(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) -> f_432(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) :|: v319 != 0 && 1 <= v336
30.41/10.02	f_432(v319, v320, v337, v339, v341, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, 0, v334, v335, v336, 3, 1, 4) -> f_434(v319, v320, v337, v339, v341, 0, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_434(v319, v320, v337, v339, v341, 0, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) -> f_436(v319, v320, v337, v339, v341, 0, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) :|: TRUE
30.41/10.02	f_436(v319, v320, v337, v339, v341, 0, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) -> f_438(v319, v320, v337, v339, v341, 0, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_438(v319, v320, v337, v339, v341, 0, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) -> f_440(v319, v320, v337, v339, v341, 0, v346, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) :|: 1 + v346 = v319 && 0 <= v346
30.41/10.02	f_440(v319, v320, v337, v339, v341, 0, v346, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) -> f_442(v319, v320, v337, v339, v341, 0, v346, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_442(v319, v320, v337, v339, v341, 0, v346, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) -> f_444(v319, v320, v337, v339, v341, 0, v346, v347, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) :|: v347 = 1 + v320 && 1 <= v347
30.41/10.02	f_444(v319, v320, v337, v339, v341, 0, v346, v347, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, v340, v342, v334, v335, v336, 3, 1, 4) -> f_446(v346, v347, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v337, v338, v339, v340, v341, v342, 0, v334, v335, v336, v319, v320, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_446(v346, v347, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v337, v338, v339, v340, v341, v342, 0, v334, v335, v336, v319, v320, 3, 1, 4) -> f_448(v346, v347, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v337, v338, v339, v340, v341, v342, 0, v334, v335, v336, v319, v320, 3, 1, 4) :|: TRUE
30.41/10.02	f_448(v346, v347, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v337, v338, v339, v340, v341, v342, 0, v334, v335, v336, v319, v320, 3, 1, 4) -> f_422(v346, v347, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 0, v334, v335, v336, 3, 1, 4) :|: TRUE
30.41/10.02	f_422(v319, v320, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 0, v334, v335, v336, 3, 1, 4) -> f_424(v319, v320, v337, v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, v338, 0, v334, v335, v336, 3, 1, 4) :|: 1 <= v337 && v338 = 3 + v337 && 4 <= v338
30.41/10.02	Combined rules. Obtained 1 rulesP rules:
30.41/10.02	f_424(1 + v346:0, v320:0, v337:0, v321:0, v322:0, v323:0, v324:0, v325:0, v326:0, v327:0, v328:0, v329:0, v330:0, v331:0, v332:0, v338:0, 0, v334:0, v335:0, v336:0, 3, 1, 4) -> f_424(v346:0, 1 + v320:0, v337:1, v321:0, v322:0, v323:0, v324:0, v325:0, v326:0, v327:0, v328:0, v329:0, v330:0, v331:0, v332:0, 3 + v337:1, 0, v334:0, v335:0, v336:0, 3, 1, 4) :|: v341:0 > 0 && v339:0 > 0 && v336:0 > 0 && v346:0 > -1 && v320:0 > -1 && v337:1 > 0
30.41/10.02	Filtered unneeded arguments:
30.41/10.02	   f_424(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f_424(x1, x2, x20)
30.41/10.02	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
30.41/10.02	f_424(sum~cons_1~v346:0, v320:0, v336:0) -> f_424(v346:0, 1 + v320:0, v336:0) :|: v346:0 > -1 && v320:0 > -1 && v336:0 > 0 && sum~cons_1~v346:0 = 1 + v346:0
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(9)
30.41/10.02	Obligation:
30.41/10.02	Rules:
30.41/10.02	f_424(sum~cons_1~v346:0, v320:0, v336:0) -> f_424(v346:0, 1 + v320:0, v336:0) :|: v346:0 > -1 && v320:0 > -1 && v336:0 > 0 && sum~cons_1~v346:0 = 1 + v346:0
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(10) IntTRSCompressionProof (EQUIVALENT)
30.41/10.02	Compressed rules.
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(11)
30.41/10.02	Obligation:
30.41/10.02	Rules:
30.41/10.02	f_424(sum~cons_1~v346:0:0, v320:0:0, v336:0:0) -> f_424(v346:0:0, 1 + v320:0:0, v336:0:0) :|: v346:0:0 > -1 && v320:0:0 > -1 && v336:0:0 > 0 && sum~cons_1~v346:0:0 = 1 + v346:0:0
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(12) PolynomialOrderProcessor (EQUIVALENT)
30.41/10.02	Found the following polynomial interpretation:
30.41/10.02	[f_424(x, x1, x2)] = x
30.41/10.02	
30.41/10.02	The following rules are decreasing:
30.41/10.02	f_424(sum~cons_1~v346:0:0, v320:0:0, v336:0:0) -> f_424(v346:0:0, 1 + v320:0:0, v336:0:0) :|: v346:0:0 > -1 && v320:0:0 > -1 && v336:0:0 > 0 && sum~cons_1~v346:0:0 = 1 + v346:0:0
30.41/10.02	The following rules are bounded:
30.41/10.02	f_424(sum~cons_1~v346:0:0, v320:0:0, v336:0:0) -> f_424(v346:0:0, 1 + v320:0:0, v336:0:0) :|: v346:0:0 > -1 && v320:0:0 > -1 && v336:0:0 > 0 && sum~cons_1~v346:0:0 = 1 + v346:0:0
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(13)
30.41/10.02	YES
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(14)
30.41/10.02	Obligation:
30.41/10.02	SCC
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(15) SCC2IRS (SOUND)
30.41/10.02	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
30.41/10.02	Generated rules. Obtained 16 rulesP rules:
30.41/10.02	f_264(v55, v56, v67, v57, v58, v59, v60, v61, v62, v68, 0, v64, v65, 3, 1, 4) -> f_265(v55, v56, v67, v69, v57, v58, v59, v60, v61, v62, v68, v70, 0, v64, v65, 3, 1, 4) :|: 1 <= v69 && v70 = 3 + v69 && 4 <= v70
30.41/10.02	f_265(v55, v56, v67, v69, v57, v58, v59, v60, v61, v62, v68, v70, 0, v64, v65, 3, 1, 4) -> f_266(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) :|: 1 <= v71 && v72 = 3 + v71 && 4 <= v72
30.41/10.02	f_266(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) -> f_267(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) :|: TRUE
30.41/10.02	f_267(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) -> f_268(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) :|: TRUE
30.41/10.02	f_268(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) -> f_269(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_269(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) -> f_271(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) :|: v56 != 0 && 1 <= v65
30.41/10.02	f_271(v55, v56, v67, v69, v71, v57, v58, v59, v60, v61, v62, v68, v70, v72, 0, v64, v65, 3, 1, 4) -> f_273(v55, v56, v67, v69, v71, 0, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_273(v55, v56, v67, v69, v71, 0, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) -> f_275(v55, v56, v67, v69, v71, 0, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) :|: TRUE
30.41/10.02	f_275(v55, v56, v67, v69, v71, 0, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) -> f_277(v55, v56, v67, v69, v71, 0, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_277(v55, v56, v67, v69, v71, 0, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) -> f_279(v55, v56, v67, v69, v71, 0, v75, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) :|: v75 = 1 + v55 && 1 <= v75
30.41/10.02	f_279(v55, v56, v67, v69, v71, 0, v75, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) -> f_281(v55, v56, v67, v69, v71, 0, v75, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_281(v55, v56, v67, v69, v71, 0, v75, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) -> f_282(v55, v56, v67, v69, v71, 0, v75, v76, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) :|: 1 + v76 = v56 && 0 <= v76
30.41/10.02	f_282(v55, v56, v67, v69, v71, 0, v75, v76, v57, v58, v59, v60, v61, v62, v68, v70, v72, v64, v65, 3, 1, 4) -> f_284(v75, v76, v57, v58, v59, v60, v61, v62, v67, v68, v69, v70, v71, v72, 0, v64, v65, v55, v56, 3, 1, 4) :|: 0 = 0
30.41/10.02	f_284(v75, v76, v57, v58, v59, v60, v61, v62, v67, v68, v69, v70, v71, v72, 0, v64, v65, v55, v56, 3, 1, 4) -> f_286(v75, v76, v57, v58, v59, v60, v61, v62, v67, v68, v69, v70, v71, v72, 0, v64, v65, v55, v56, 3, 1, 4) :|: TRUE
30.41/10.02	f_286(v75, v76, v57, v58, v59, v60, v61, v62, v67, v68, v69, v70, v71, v72, 0, v64, v65, v55, v56, 3, 1, 4) -> f_262(v75, v76, v57, v58, v59, v60, v61, v62, 0, v64, v65, 3, 1, 4) :|: TRUE
30.41/10.02	f_262(v55, v56, v57, v58, v59, v60, v61, v62, 0, v64, v65, 3, 1, 4) -> f_264(v55, v56, v67, v57, v58, v59, v60, v61, v62, v68, 0, v64, v65, 3, 1, 4) :|: 1 <= v67 && v68 = 3 + v67 && 4 <= v68
30.41/10.02	Combined rules. Obtained 1 rulesP rules:
30.41/10.02	f_264(v55:0, 1 + v76:0, v67:0, v57:0, v58:0, v59:0, v60:0, v61:0, v62:0, v68:0, 0, v64:0, v65:0, 3, 1, 4) -> f_264(1 + v55:0, v76:0, v67:1, v57:0, v58:0, v59:0, v60:0, v61:0, v62:0, 3 + v67:1, 0, v64:0, v65:0, 3, 1, 4) :|: v71:0 > 0 && v69:0 > 0 && v65:0 > 0 && v76:0 > -1 && v55:0 > -1 && v67:1 > 0
30.41/10.02	Filtered unneeded arguments:
30.41/10.02	   f_264(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_264(x1, x2, x13)
30.41/10.02	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
30.41/10.02	f_264(v55:0, sum~cons_1~v76:0, v65:0) -> f_264(1 + v55:0, v76:0, v65:0) :|: v76:0 > -1 && v55:0 > -1 && v65:0 > 0 && sum~cons_1~v76:0 = 1 + v76:0
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(16)
30.41/10.02	Obligation:
30.41/10.02	Rules:
30.41/10.02	f_264(v55:0, sum~cons_1~v76:0, v65:0) -> f_264(1 + v55:0, v76:0, v65:0) :|: v76:0 > -1 && v55:0 > -1 && v65:0 > 0 && sum~cons_1~v76:0 = 1 + v76:0
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(17) IntTRSCompressionProof (EQUIVALENT)
30.41/10.02	Compressed rules.
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(18)
30.41/10.02	Obligation:
30.41/10.02	Rules:
30.41/10.02	f_264(v55:0:0, sum~cons_1~v76:0:0, v65:0:0) -> f_264(1 + v55:0:0, v76:0:0, v65:0:0) :|: v76:0:0 > -1 && v55:0:0 > -1 && v65:0:0 > 0 && sum~cons_1~v76:0:0 = 1 + v76:0:0
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(19) RankingReductionPairProof (EQUIVALENT)
30.41/10.02	Interpretation:
30.41/10.02	[ f_264 ] = f_264_2
30.41/10.02	
30.41/10.02	The following rules are decreasing:
30.41/10.02	f_264(v55:0:0, sum~cons_1~v76:0:0, v65:0:0) -> f_264(1 + v55:0:0, v76:0:0, v65:0:0) :|: v76:0:0 > -1 && v55:0:0 > -1 && v65:0:0 > 0 && sum~cons_1~v76:0:0 = 1 + v76:0:0
30.41/10.02	
30.41/10.02	The following rules are bounded:
30.41/10.02	f_264(v55:0:0, sum~cons_1~v76:0:0, v65:0:0) -> f_264(1 + v55:0:0, v76:0:0, v65:0:0) :|: v76:0:0 > -1 && v55:0:0 > -1 && v65:0:0 > 0 && sum~cons_1~v76:0:0 = 1 + v76:0:0
30.41/10.02	
30.41/10.02	
30.41/10.02	----------------------------------------
30.41/10.02	
30.41/10.02	(20)
30.41/10.02	YES
30.44/10.08	EOF