29.51/8.39	YES
29.51/8.40	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
29.51/8.40	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
29.51/8.40	
29.51/8.40	
29.51/8.40	Termination of the given C Problem could be proven:
29.51/8.40	
29.51/8.40	(0) C Problem
29.51/8.40	(1) CToLLVMProof [EQUIVALENT, 162 ms]
29.51/8.40	(2) LLVM problem
29.51/8.40	(3) LLVMToTerminationGraphProof [EQUIVALENT, 1606 ms]
29.51/8.40	(4) LLVM Symbolic Execution Graph
29.51/8.40	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
29.51/8.40	(6) AND
29.51/8.40	    (7) LLVM Symbolic Execution SCC
29.51/8.40	        (8) SCC2IRS [SOUND, 45 ms]
29.51/8.40	        (9) IntTRS
29.51/8.40	        (10) IRS2T2 [EQUIVALENT, 0 ms]
29.51/8.40	        (11) T2IntSys
29.51/8.40	        (12) T2 [EQUIVALENT, 754 ms]
29.51/8.40	        (13) YES
29.51/8.40	    (14) LLVM Symbolic Execution SCC
29.51/8.40	        (15) SCC2IRS [SOUND, 0 ms]
29.51/8.40	        (16) IntTRS
29.51/8.40	        (17) IntTRSCompressionProof [EQUIVALENT, 0 ms]
29.51/8.40	        (18) IntTRS
29.51/8.40	        (19) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
29.51/8.40	        (20) YES
29.51/8.40	
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(0)
29.51/8.40	Obligation:
29.51/8.40	c file /export/starexec/sandbox/benchmark/theBenchmark.c
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(1) CToLLVMProof (EQUIVALENT)
29.51/8.40	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(2)
29.51/8.40	Obligation:
29.51/8.40	LLVM Problem
29.51/8.40	
29.51/8.40	Aliases:
29.51/8.40	
29.51/8.40	Data layout:
29.51/8.40	
29.51/8.40	"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"
29.51/8.40	
29.51/8.40	Machine:
29.51/8.40	
29.51/8.40	"x86_64-pc-linux-gnu"
29.51/8.40	
29.51/8.40	Type definitions:
29.51/8.40	
29.51/8.40	Global variables:
29.51/8.40	
29.51/8.40	Function declarations and definitions:
29.51/8.40	
29.51/8.40	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
29.51/8.40	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
29.51/8.40		0:
29.51/8.40			%1 = alloca i32, align 4
29.51/8.40			%x = alloca i32, align 4
29.51/8.40			%y = alloca i32, align 4
29.51/8.40			%oldx = alloca i32, align 4
29.51/8.40			store 0, %1
29.51/8.40			%2 = call i32 @__VERIFIER_nondet_int()
29.51/8.40			store %2, %x
29.51/8.40			%3 = call i32 @__VERIFIER_nondet_int()
29.51/8.40			store %3, %y
29.51/8.40			br %4
29.51/8.40		4:
29.51/8.40			%5 = load %x
29.51/8.40			%6 = icmp sge %5 0
29.51/8.40			br %6, %10, %7
29.51/8.40		7:
29.51/8.40			%8 = load %y
29.51/8.40			%9 = icmp sge %8 0
29.51/8.40			br %10
29.51/8.40		10:
29.51/8.40			%11 = phi [1, %4], [%9, %7]
29.51/8.40			br %11, %12, %18
29.51/8.40		12:
29.51/8.40			%13 = load %x
29.51/8.40			store %13, %oldx
29.51/8.40			%14 = load %y
29.51/8.40			%15 = sub %14 1
29.51/8.40			store %15, %x
29.51/8.40			%16 = load %oldx
29.51/8.40			%17 = sub %16 1
29.51/8.40			store %17, %y
29.51/8.40			br %4
29.51/8.40		18:
29.51/8.40			ret 0
29.51/8.40	
29.51/8.40	
29.51/8.40	Analyze Termination of all function calls matching the pattern:
29.51/8.40	main()
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(3) LLVMToTerminationGraphProof (EQUIVALENT)
29.51/8.40	Constructed symbolic execution graph for LLVM program and proved memory safety.
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(4)
29.51/8.40	Obligation:
29.51/8.40	SE Graph
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(5) SymbolicExecutionGraphToSCCProof (SOUND)
29.51/8.40	Splitted symbolic execution graph to 2 SCCs.
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(6)
29.51/8.40	Complex Obligation (AND)
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(7)
29.51/8.40	Obligation:
29.51/8.40	SCC
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(8) SCC2IRS (SOUND)
29.51/8.40	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
29.51/8.40	Generated rules. Obtained 33 rulesP rules:
29.51/8.40	f_224(v405, v406, v407, v408, v409, v410, v411, 0, 1, v414, v415, v416, v417, v418, v419, v420, 3, 4) -> f_227(v405, v406, v407, v408, v409, v410, v411, 0, 1, v415, v414, v416, v417, v418, v419, v420, 3, 4) :|: 0 = 0
29.51/8.40	f_227(v405, v406, v407, v408, v409, v410, v411, 0, 1, v415, v414, v416, v417, v418, v419, v420, 3, 4) -> f_229(v405, v406, v407, v408, v409, v410, v411, 0, 1, v415, v414, v416, v417, v418, v419, v420, 3, 4) :|: TRUE
29.51/8.40	f_229(v405, v406, v407, v408, v409, v410, v411, 0, 1, v415, v414, v416, v417, v418, v419, v420, 3, 4) -> f_230(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v414, v417, v418, v419, v420, 3, 4) :|: 0 = 0
29.51/8.40	f_230(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v414, v417, v418, v419, v420, 3, 4) -> f_231(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v414, v417, v418, v419, v420, 3, 4) :|: 1 + v556 = v416 && 0 <= 1 + v556
29.51/8.40	f_231(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v414, v417, v418, v419, v420, 3, 4) -> f_232(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v414, v417, v418, v419, v420, 3, 4) :|: TRUE
29.51/8.40	f_232(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v414, v417, v418, v419, v420, 3, 4) -> f_233(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v417, v418, v419, v420, 3, 4) :|: 0 = 0
29.51/8.40	f_233(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v417, v418, v419, v420, 3, 4) -> f_234(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v558, v417, v418, v419, v420, 3, 4, 2) :|: 1 + v558 = v411 && 2 + v558 <= 0
29.51/8.40	f_234(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v558, v417, v418, v419, v420, 3, 4, 2) -> f_235(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v558, v417, v418, v419, v420, 3, 4, 2) :|: TRUE
29.51/8.40	f_235(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v558, v417, v418, v419, v420, 3, 4, 2) -> f_236(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v558, v417, v418, v419, v420, 3, 4, 2) :|: TRUE
29.51/8.40	f_236(v405, v406, v407, v408, v409, v410, v411, 0, 1, v416, v556, v558, v417, v418, v419, v420, 3, 4, 2) -> f_237(v405, v406, v407, v408, v409, v410, v411, 0, v416, 1, v556, v558, v417, v418, v419, v420, 3, 2, 4) :|: TRUE
29.51/8.40	f_237(v560, v561, v562, v563, v564, v565, v566, 0, v568, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) -> f_238(v560, v561, v562, v563, v564, v565, v570, 0, v568, 1, v566, v571, v572, v573, v574, v575, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_238(v560, v561, v562, v563, v564, v565, v570, 0, v568, 1, v566, v571, v572, v573, v574, v575, 3, 2, 4) -> f_239(v560, v561, v562, v563, v564, v565, v570, 0, v568, 1, v566, v571, v572, v573, v574, v575, 3, 2, 4) :|: 0 <= v570 && 1 <= v568
29.51/8.40	f_239(v560, v561, v562, v563, v564, v565, v570, 0, v568, 1, v566, v571, v572, v573, v574, v575, 3, 2, 4) -> f_241(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_241(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) -> f_243(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_243(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) -> f_245(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) :|: TRUE
29.51/8.40	f_245(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) -> f_247(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_247(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) -> f_249(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) :|: TRUE
29.51/8.40	f_249(v560, v561, v562, v563, v564, v565, v570, 1, v568, v566, v571, v572, v573, v574, v575, 0, 3, 2, 4) -> f_252(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v566, v572, v573, v574, v575, 0, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_252(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v566, v572, v573, v574, v575, 0, 3, 2, 4) -> f_254(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v566, v572, v573, v574, v575, 0, 3, 2, 4) :|: 1 + v714 = v571 && 3 + v714 <= 0
29.51/8.40	f_254(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v566, v572, v573, v574, v575, 0, 3, 2, 4) -> f_255(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v566, v572, v573, v574, v575, 0, 3, 2, 4) :|: TRUE
29.51/8.40	f_255(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v566, v572, v573, v574, v575, 0, 3, 2, 4) -> f_256(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v572, v573, v574, v575, 0, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_256(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v572, v573, v574, v575, 0, 3, 2, 4) -> f_257(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v716, v572, v573, v574, v575, 0, 3, 2, 4) :|: 1 + v716 = v570 && 0 <= 1 + v716
29.51/8.40	f_257(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v716, v572, v573, v574, v575, 0, 3, 2, 4) -> f_258(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v716, v572, v573, v574, v575, 0, 3, 2, 4) :|: TRUE
29.51/8.40	f_258(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v716, v572, v573, v574, v575, 0, 3, 2, 4) -> f_259(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v716, v572, v573, v574, v575, 0, 3, 2, 4) :|: TRUE
29.51/8.40	f_259(v560, v561, v562, v563, v564, v565, v570, 1, v568, v571, v714, v716, v572, v573, v574, v575, 0, 3, 2, 4) -> f_260(v560, v561, v562, v563, v564, v565, v714, 1, v568, v570, v571, v716, v572, v573, v574, v575, 0, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_260(v560, v561, v562, v563, v564, v565, v714, 1, v568, v570, v571, v716, v572, v573, v574, v575, 0, 3, 2, 4) -> f_261(v560, v561, v562, v563, v564, v565, v714, 0, v568, 1, v570, v571, v716, v572, v573, v574, v575, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_261(v560, v561, v562, v563, v564, v565, v714, 0, v568, 1, v570, v571, v716, v572, v573, v574, v575, 3, 2, 4) -> f_262(v560, v561, v562, v563, v564, v565, v714, 0, v568, 1, v570, v571, v716, v572, v573, v574, v575, 3, 2, 4) :|: TRUE
29.51/8.40	f_262(v560, v561, v562, v563, v564, v565, v714, 0, v568, 1, v570, v571, v716, v572, v573, v574, v575, 3, 2, 4) -> f_263(v560, v561, v562, v563, v564, v565, v714, 0, v716, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_263(v560, v561, v562, v563, v564, v565, v714, 0, v716, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) -> f_264(v560, v561, v562, v563, v564, v565, v714, 0, v716, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) :|: 0 <= v716 && 1 <= v570
29.51/8.40	f_264(v560, v561, v562, v563, v564, v565, v714, 0, v716, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) -> f_266(v560, v561, v562, v563, v564, v565, v714, 0, v716, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_266(v560, v561, v562, v563, v564, v565, v714, 0, v716, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) -> f_268(v560, v561, v562, v563, v564, v565, v714, 0, v716, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) :|: 0 = 0
29.51/8.40	f_268(v560, v561, v562, v563, v564, v565, v714, 0, v716, 1, v570, v571, v572, v573, v574, v575, 3, 2, 4) -> f_220(v560, v561, v562, v563, v564, v565, v714, 0, 1, v570, v571, v716, v572, v573, v574, v575, 3, 4) :|: TRUE
29.51/8.40	f_220(v405, v406, v407, v408, v409, v410, v411, 0, 1, v414, v415, v416, v417, v418, v419, v420, 3, 4) -> f_224(v405, v406, v407, v408, v409, v410, v411, 0, 1, v414, v415, v416, v417, v418, v419, v420, 3, 4) :|: TRUE
29.51/8.40	Combined rules. Obtained 1 rulesP rules:
29.51/8.40	f_224(v405:0, v406:0, v407:0, v408:0, v409:0, v410:0, 1 + (1 + v714:0), 0, 1, v414:0, v415:0, 1 + (1 + v716:0), v417:0, v418:0, v419:0, v420:0, 3, 4) -> f_224(v405:0, v406:0, v407:0, v408:0, v409:0, v410:0, v714:0, 0, 1, 1 + v716:0, 1 + v714:0, v716:0, v417:0, v418:0, v419:0, v420:0, 3, 4) :|: v716:0 > -1 && v714:0 < -2
29.51/8.40	Filtered unneeded arguments:
29.51/8.40	   f_224(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_224(x7, x12)
29.51/8.40	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
29.51/8.40	f_224(sum~cons_1~sum~cons_1~v714:0, sum~cons_1~sum~cons_1~v716:0) -> f_224(v714:0, v716:0) :|: v716:0 > -1 && v714:0 < -2 && sum~cons_1~sum~cons_1~v714:0 = 1 + (1 + v714:0) && sum~cons_1~sum~cons_1~v716:0 = 1 + (1 + v716:0)
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(9)
29.51/8.40	Obligation:
29.51/8.40	Rules:
29.51/8.40	f_224(sum~cons_1~sum~cons_1~v714:0, sum~cons_1~sum~cons_1~v716:0) -> f_224(v714:0, v716:0) :|: v716:0 > -1 && v714:0 < -2 && sum~cons_1~sum~cons_1~v714:0 = 1 + (1 + v714:0) && sum~cons_1~sum~cons_1~v716:0 = 1 + (1 + v716:0)
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(10) IRS2T2 (EQUIVALENT)
29.51/8.40	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
29.51/8.40	
29.51/8.40	   (f_224_2,1)
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(11)
29.51/8.40	Obligation:
29.51/8.40	START: 0;
29.51/8.40	
29.51/8.40	FROM: 0;
29.51/8.40	TO: 1;
29.51/8.40	
29.51/8.40	FROM: 1;
29.51/8.40	oldX0 := x0;
29.51/8.40	oldX1 := x1;
29.51/8.40	oldX2 := oldX0 - 2;
29.51/8.40	oldX3 := oldX1 - 2;
29.51/8.40	assume(oldX3 > -1 && oldX2 < -2 && oldX0 = 1 + (1 + oldX2) && oldX1 = 1 + (1 + oldX3));
29.51/8.40	x0 := oldX0 - 2;
29.51/8.40	x1 := oldX1 - 2;
29.51/8.40	TO: 1;
29.51/8.40	
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(12) T2 (EQUIVALENT)
29.51/8.40	Initially, performed program simplifications using lexicographic rank functions:
29.51/8.40	 * Removed transitions 1, 3, 4 using the following rank functions:
29.51/8.40	    - Rank function 1:
29.51/8.40	      RF for loc. 5: 1+x1
29.51/8.40	      RF for loc. 6: x1
29.51/8.40	      Bound for (chained) transitions 3: 2
29.51/8.40	      Bound for (chained) transitions 4: 2
29.51/8.40	    - Rank function 2:
29.51/8.40	      RF for loc. 5: 0
29.51/8.40	      RF for loc. 6: -1
29.51/8.40	      Bound for (chained) transitions 1: 0
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(13)
29.51/8.40	YES
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(14)
29.51/8.40	Obligation:
29.51/8.40	SCC
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(15) SCC2IRS (SOUND)
29.51/8.40	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
29.51/8.40	Generated rules. Obtained 15 rulesP rules:
29.51/8.40	f_182(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) -> f_184(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) :|: 0 <= v218 && 1 <= v217
29.51/8.40	f_184(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) -> f_187(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) :|: 0 = 0
29.51/8.40	f_187(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) -> f_190(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) :|: 0 = 0
29.51/8.40	f_190(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) -> f_193(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) :|: TRUE
29.51/8.40	f_193(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) -> f_196(v209, v210, v211, v212, v213, v214, v218, 1, v217, v215, v219, v220, v221, v222, v223, 0, 3, 4) :|: 0 = 0
29.51/8.40	f_196(v209, v210, v211, v212, v213, v214, v218, 1, v217, v215, v219, v220, v221, v222, v223, 0, 3, 4) -> f_200(v209, v210, v211, v212, v213, v214, v218, 1, v217, v215, v219, v220, v221, v222, v223, 0, 3, 4) :|: TRUE
29.51/8.40	f_200(v209, v210, v211, v212, v213, v214, v218, 1, v217, v215, v219, v220, v221, v222, v223, 0, 3, 4) -> f_204(v209, v210, v211, v212, v213, v214, v218, 1, v219, v215, v220, v221, v222, v223, 0, 3, 4) :|: 0 = 0
29.51/8.40	f_204(v209, v210, v211, v212, v213, v214, v218, 1, v219, v215, v220, v221, v222, v223, 0, 3, 4) -> f_208(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v215, v220, v221, v222, v223, 0, 3, 4, 2) :|: 1 + v343 = v219 && 0 <= 2 + v343
29.51/8.40	f_208(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v215, v220, v221, v222, v223, 0, 3, 4, 2) -> f_213(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v215, v220, v221, v222, v223, 0, 3, 4, 2) :|: TRUE
29.51/8.40	f_213(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v215, v220, v221, v222, v223, 0, 3, 4, 2) -> f_217(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v220, v221, v222, v223, 0, 3, 4, 2) :|: 0 = 0
29.51/8.40	f_217(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v220, v221, v222, v223, 0, 3, 4, 2) -> f_223(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v498, v220, v221, v222, v223, 0, 3, 4, 2) :|: 1 + v498 = v218 && 0 <= 1 + v498
29.51/8.40	f_223(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v498, v220, v221, v222, v223, 0, 3, 4, 2) -> f_226(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v498, v220, v221, v222, v223, 0, 3, 4, 2) :|: TRUE
29.51/8.40	f_226(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v498, v220, v221, v222, v223, 0, 3, 4, 2) -> f_228(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v498, v220, v221, v222, v223, 0, 3, 4, 2) :|: TRUE
29.51/8.40	f_228(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v498, v220, v221, v222, v223, 0, 3, 4, 2) -> f_180(v209, v210, v211, v212, v213, v214, v218, 1, v219, v343, v498, v220, v221, v222, v223, 0, 3, 4) :|: TRUE
29.51/8.40	f_180(v209, v210, v211, v212, v213, v214, v215, 1, v217, v218, v219, v220, v221, v222, v223, 0, 3, 4) -> f_182(v209, v210, v211, v212, v213, v214, v218, 1, v215, v217, v219, v220, v221, v222, v223, 0, 3, 4) :|: 0 = 0
29.51/8.40	Combined rules. Obtained 1 rulesP rules:
29.51/8.40	f_182(v209:0, v210:0, v211:0, v212:0, v213:0, v214:0, 1 + v498:0, 1, v215:0, v217:0, 1 + v343:0, v220:0, v221:0, v222:0, v223:0, 0, 3, 4) -> f_182(v209:0, v210:0, v211:0, v212:0, v213:0, v214:0, v343:0, 1, 1 + v498:0, 1 + v343:0, v498:0, v220:0, v221:0, v222:0, v223:0, 0, 3, 4) :|: v217:0 > 0 && v498:0 > -2 && v343:0 > -3
29.51/8.40	Filtered unneeded arguments:
29.51/8.40	   f_182(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_182(x7, x10, x11)
29.51/8.40	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
29.51/8.40	f_182(sum~cons_1~v498:0, v217:0, sum~cons_1~v343:0) -> f_182(v343:0, 1 + v343:0, v498:0) :|: v498:0 > -2 && v343:0 > -3 && v217:0 > 0 && sum~cons_1~v498:0 = 1 + v498:0 && sum~cons_1~v343:0 = 1 + v343:0
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(16)
29.51/8.40	Obligation:
29.51/8.40	Rules:
29.51/8.40	f_182(sum~cons_1~v498:0, v217:0, sum~cons_1~v343:0) -> f_182(v343:0, 1 + v343:0, v498:0) :|: v498:0 > -2 && v343:0 > -3 && v217:0 > 0 && sum~cons_1~v498:0 = 1 + v498:0 && sum~cons_1~v343:0 = 1 + v343:0
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(17) IntTRSCompressionProof (EQUIVALENT)
29.51/8.40	Compressed rules.
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(18)
29.51/8.40	Obligation:
29.51/8.40	Rules:
29.51/8.40	f_182(sum~cons_1~v498:0:0, v217:0:0, sum~cons_1~v343:0:0) -> f_182(v343:0:0, 1 + v343:0:0, v498:0:0) :|: v498:0:0 > -2 && v343:0:0 > -3 && v217:0:0 > 0 && sum~cons_1~v498:0:0 = 1 + v498:0:0 && sum~cons_1~v343:0:0 = 1 + v343:0:0
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(19) PolynomialOrderProcessor (EQUIVALENT)
29.51/8.40	Found the following polynomial interpretation:
29.51/8.40	[f_182(x, x1, x2)] = 2 + x + x2
29.51/8.40	
29.51/8.40	The following rules are decreasing:
29.51/8.40	f_182(sum~cons_1~v498:0:0, v217:0:0, sum~cons_1~v343:0:0) -> f_182(v343:0:0, 1 + v343:0:0, v498:0:0) :|: v498:0:0 > -2 && v343:0:0 > -3 && v217:0:0 > 0 && sum~cons_1~v498:0:0 = 1 + v498:0:0 && sum~cons_1~v343:0:0 = 1 + v343:0:0
29.51/8.40	The following rules are bounded:
29.51/8.40	f_182(sum~cons_1~v498:0:0, v217:0:0, sum~cons_1~v343:0:0) -> f_182(v343:0:0, 1 + v343:0:0, v498:0:0) :|: v498:0:0 > -2 && v343:0:0 > -3 && v217:0:0 > 0 && sum~cons_1~v498:0:0 = 1 + v498:0:0 && sum~cons_1~v343:0:0 = 1 + v343:0:0
29.51/8.40	
29.51/8.40	----------------------------------------
29.51/8.40	
29.51/8.40	(20)
29.51/8.40	YES
29.85/8.49	EOF