16.21/6.02	YES
16.21/6.03	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
16.21/6.03	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.21/6.03	
16.21/6.03	
16.21/6.03	Termination of the given C Problem could be proven:
16.21/6.03	
16.21/6.03	(0) C Problem
16.21/6.03	(1) CToLLVMProof [EQUIVALENT, 172 ms]
16.21/6.03	(2) LLVM problem
16.21/6.03	(3) LLVMToTerminationGraphProof [EQUIVALENT, 1894 ms]
16.21/6.03	(4) LLVM Symbolic Execution Graph
16.21/6.03	(5) SEGraph to IRS [SOUND, 158 ms]
16.21/6.03	(6) IntTRS
16.21/6.03	(7) IRS2T2 [EQUIVALENT, 0 ms]
16.21/6.03	(8) T2IntSys
16.21/6.03	(9) T2 [EQUIVALENT, 1604 ms]
16.21/6.03	(10) YES
16.21/6.03	
16.21/6.03	
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(0)
16.21/6.03	Obligation:
16.21/6.03	c file /export/starexec/sandbox/benchmark/theBenchmark.c
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(1) CToLLVMProof (EQUIVALENT)
16.21/6.03	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(2)
16.21/6.03	Obligation:
16.21/6.03	LLVM Problem
16.21/6.03	
16.21/6.03	Aliases:
16.21/6.03	
16.21/6.03	Data layout:
16.21/6.03	
16.21/6.03	"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"
16.21/6.03	
16.21/6.03	Machine:
16.21/6.03	
16.21/6.03	"x86_64-pc-linux-gnu"
16.21/6.03	
16.21/6.03	Type definitions:
16.21/6.03	
16.21/6.03	Global variables:
16.21/6.03	
16.21/6.03	Function declarations and definitions:
16.21/6.03	
16.21/6.03	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.21/6.03	*BasicFunctionTypename: "f" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.21/6.03		0:
16.21/6.03			%1 = alloca i32, align 4
16.21/6.03			%2 = alloca i32, align 4
16.21/6.03			%flag = alloca i32, align 4
16.21/6.03			%c = alloca i32, align 4
16.21/6.03			store %x, %1
16.21/6.03			store %y, %2
16.21/6.03			store 1, %flag
16.21/6.03			store 0, %c
16.21/6.03			br %3
16.21/6.03		3:
16.21/6.03			%4 = load %flag
16.21/6.03			%5 = icmp ne %4 0
16.21/6.03			br %5, %6, %14
16.21/6.03		6:
16.21/6.03			%7 = load %1
16.21/6.03			%8 = add %7 1
16.21/6.03			store %8, %1
16.21/6.03			%9 = load %2
16.21/6.03			%10 = icmp slt %7 %9
16.21/6.03			%11 = zext i1 %10 to i32
16.21/6.03			store %11, %flag
16.21/6.03			%12 = load %c
16.21/6.03			%13 = add %12 1
16.21/6.03			store %13, %c
16.21/6.03			br %3
16.21/6.03		14:
16.21/6.03			%15 = load %c
16.21/6.03			ret %15
16.21/6.03	
16.21/6.03	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.21/6.03		0:
16.21/6.03			%1 = alloca i32, align 4
16.21/6.03			store 0, %1
16.21/6.03			%2 = call i32 @__VERIFIER_nondet_int()
16.21/6.03			%3 = call i32 @__VERIFIER_nondet_int()
16.21/6.03			%4 = call i32 @f(i32 %2, i32 %3)
16.21/6.03			ret %4
16.21/6.03	
16.21/6.03	
16.21/6.03	Analyze Termination of all function calls matching the pattern:
16.21/6.03	main()
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(3) LLVMToTerminationGraphProof (EQUIVALENT)
16.21/6.03	Constructed symbolic execution graph for LLVM program and proved memory safety.
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(4)
16.21/6.03	Obligation:
16.21/6.03	SE Graph
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(5) SEGraph to IRS (SOUND)
16.21/6.03	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
16.21/6.03	Generated rules. Obtained 73 rulesP rules:
16.21/6.03	f_97 -> f_98(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
16.21/6.03	f_98(v1, v2, 3, 1, 4) -> f_99(v1, v2, 0, 3, 1, 4) :|: TRUE
16.21/6.03	f_99(v1, v2, 0, 3, 1, 4) -> f_100(v1, v3, v2, 0, 3, 1, 4) :|: TRUE
16.21/6.03	f_100(v1, v3, v2, 0, 3, 1, 4) -> f_101(v1, v3, v4, v2, 0, 3, 1, 4) :|: TRUE
16.21/6.03	f_101(v1, v3, v4, v2, 0, 3, 1, 4) -> f_102(v3, v4, v1, v2, 0, 3, 1, 4) :|: 0 = 0
16.21/6.03	f_102(v3, v4, v1, v2, 0, 3, 1, 4) -> f_103(v3, v4, v5, v1, v2, v6, 0, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6
16.21/6.03	f_103(v3, v4, v5, v1, v2, v6, 0, 3, 1, 4) -> f_104(v3, v4, v5, v7, v1, v2, v6, v8, 0, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8
16.21/6.03	f_104(v3, v4, v5, v7, v1, v2, v6, v8, 0, 3, 1, 4) -> f_105(v3, v4, v5, v7, v9, v1, v2, v6, v8, v10, 0, 3, 1, 4) :|: 1 <= v9 && v10 = 3 + v9 && 4 <= v10
16.21/6.03	f_105(v3, v4, v5, v7, v9, v1, v2, v6, v8, v10, 0, 3, 1, 4) -> f_106(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 3, 1, 4) :|: 1 <= v11 && v12 = 3 + v11 && 4 <= v12
16.21/6.03	f_106(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 3, 1, 4) -> f_107(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 3, 1, 4) :|: TRUE
16.21/6.03	f_107(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 3, 1, 4) -> f_108(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 3, 1, 4) :|: TRUE
16.21/6.03	f_108(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 3, 1, 4) -> f_109(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 1, 3, 4) :|: TRUE
16.21/6.03	f_109(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 1, 3, 4) -> f_110(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 1, 3, 4) :|: TRUE
16.21/6.03	f_110(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 1, 3, 4) -> f_111(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 1, 3, 4) :|: TRUE
16.21/6.03	f_111(v3, v4, v5, v7, v9, v11, v1, v2, v6, v8, v10, v12, 0, 1, 3, 4) -> f_112(v3, v4, v5, v7, v9, v11, 1, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_112(v3, v4, v5, v7, v9, v11, 1, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_113(v3, v4, v5, v7, v9, v11, 1, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_113(v3, v4, v5, v7, v9, v11, 1, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_114(v3, v4, v5, v7, v9, v11, 1, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: TRUE
16.21/6.03	f_114(v3, v4, v5, v7, v9, v11, 1, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_115(v3, v4, v5, v7, v9, v11, 1, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_115(v3, v4, v5, v7, v9, v11, 1, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_116(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: v15 = 1 + v3
16.21/6.03	f_116(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_117(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: TRUE
16.21/6.03	f_117(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_118(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_118(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_119(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: v3 < v4
16.21/6.03	f_118(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_120(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: v4 <= v3
16.21/6.03	f_119(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_121(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_120(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_122(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: 0 = 0
16.21/6.03	f_121(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_123(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_122(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_124(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: 0 = 0
16.21/6.03	f_123(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_125(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) :|: TRUE
16.21/6.03	f_124(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_126(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: TRUE
16.21/6.03	f_125(v3, v4, v5, v7, v9, v11, 1, v15, v1, v2, v6, v8, v10, v12, 0, 3, 4) -> f_127(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: 0 = 0
16.21/6.03	f_126(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_128(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: 0 = 0
16.21/6.03	f_127(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_129(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: 0 = 0
16.21/6.03	f_128(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_130(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: 0 = 0
16.21/6.03	f_129(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_131(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: TRUE
16.21/6.03	f_130(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_132(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: TRUE
16.21/6.03	f_131(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_133(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: TRUE
16.21/6.03	f_132(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_134(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) :|: TRUE
16.21/6.03	f_133(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_162(v3, v4, v5, v7, v9, v11, 1, v3, v15, 0, 1, v1, v2, v6, v8, v10, v12, 0, 3, 2, 4) :|: TRUE
16.21/6.03	f_134(v3, v4, v5, v7, v9, v11, 1, v15, 0, v1, v2, v6, v8, v10, v12, 3, 4) -> f_278(v3, v4, v5, v7, v9, v11, 1, v3, v15, 0, 0, 1, v1, v2, v6, v8, v10, v12, 3, 4) :|: TRUE
16.21/6.03	f_162(v27, v28, v29, v30, v31, v32, 1, v34, v35, v36, v37, v38, v39, v40, v41, v42, v43, 0, 3, 2, 4) -> f_185(v27, v28, v29, v30, v31, v32, 1, v34, v35, v36, v37, v38, v39, v40, v41, v42, v43, 0, 3, 2, 4) :|: TRUE
16.21/6.03	f_185(v69, v70, v71, v72, v73, v74, 1, v76, v77, v78, v79, v80, v81, v82, v83, v84, v85, 0, 3, 2, 4) -> f_208(v69, v70, v71, v72, v73, v74, 1, v76, v77, v78, v79, v80, v81, v82, v83, v84, v85, 0, 3, 4) :|: TRUE
16.21/6.03	f_208(v102, v103, v104, v105, v106, v107, 1, v109, v110, v111, v112, v113, v114, v115, v116, v117, v118, 0, 3, 4) -> f_231(v102, v103, v104, v105, v106, v107, 1, v109, v110, v111, v112, v113, v114, v115, v116, v117, v118, 0, 3, 4) :|: TRUE
16.21/6.03	f_231(v135, v136, v137, v138, v139, v140, 1, v142, v143, v144, v145, v146, v147, v148, v149, v150, v151, 0, 3, 4) -> f_254(v135, v136, v137, v138, v139, v140, 1, v142, v143, v144, v145, v146, v147, v148, v149, v150, v151, 0, 3, 4) :|: TRUE
16.21/6.03	f_254(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_255(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_255(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_256(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_256(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_257(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: TRUE
16.21/6.03	f_257(v168, v169, v170, v171, v172, v173, 1, v175, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_258(v168, v169, v170, v171, v172, v173, 1, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_258(v168, v169, v170, v171, v172, v173, 1, v176, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_259(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: v186 = 1 + v176
16.21/6.03	f_259(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_260(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: TRUE
16.21/6.03	f_260(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_261(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_261(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_262(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: v176 < v169
16.21/6.03	f_261(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_263(v168, v176, v170, v171, v172, v173, 1, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: v169 <= v176 && v169 = v176
16.21/6.03	f_262(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_264(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_263(v168, v176, v170, v171, v172, v173, 1, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_265(v168, v176, v170, v171, v172, v173, 1, v186, 0, v177, v178, v179, v180, v181, v182, v183, v184, 3, 4) :|: 0 = 0
16.21/6.03	f_264(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_266(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_265(v168, v176, v170, v171, v172, v173, 1, v186, 0, v177, v178, v179, v180, v181, v182, v183, v184, 3, 4) -> f_267(v168, v176, v170, v171, v172, v173, 1, v186, 0, v177, v178, v179, v180, v181, v182, v183, v184, 3, 4) :|: 0 = 0
16.21/6.03	f_266(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_268(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: TRUE
16.21/6.03	f_267(v168, v176, v170, v171, v172, v173, 1, v186, 0, v177, v178, v179, v180, v181, v182, v183, v184, 3, 4) -> f_269(v168, v176, v170, v171, v172, v173, 1, v186, 0, v177, v178, v179, v180, v181, v182, v183, v184, 3, 4) :|: TRUE
16.21/6.03	f_268(v168, v169, v170, v171, v172, v173, 1, v176, v186, v177, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_270(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: 0 = 0
16.21/6.03	f_269(v168, v176, v170, v171, v172, v173, 1, v186, 0, v177, v178, v179, v180, v181, v182, v183, v184, 3, 4) -> f_271(v168, v176, v170, v171, v172, v173, 1, v186, 0, v178, v179, v180, v181, v182, v183, v184, 3, 4) :|: 0 = 0
16.21/6.03	f_270(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v179, v180, v181, v182, v183, v184, 0, 3, 4) -> f_272(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) :|: v188 = 1 + v178 && 2 <= v188
16.21/6.03	f_271(v168, v176, v170, v171, v172, v173, 1, v186, 0, v178, v179, v180, v181, v182, v183, v184, 3, 4) -> f_273(v168, v176, v170, v171, v172, v173, 1, v186, 0, v178, v189, v179, v180, v181, v182, v183, v184, 3, 4, 2) :|: v189 = 1 + v178 && 2 <= v189
16.21/6.03	f_272(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) -> f_274(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) :|: TRUE
16.21/6.03	f_273(v168, v176, v170, v171, v172, v173, 1, v186, 0, v178, v189, v179, v180, v181, v182, v183, v184, 3, 4, 2) -> f_275(v168, v176, v170, v171, v172, v173, 1, v186, 0, v178, v189, v179, v180, v181, v182, v183, v184, 3, 4, 2) :|: TRUE
16.21/6.03	f_274(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) -> f_276(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) :|: TRUE
16.21/6.03	f_275(v168, v176, v170, v171, v172, v173, 1, v186, 0, v178, v189, v179, v180, v181, v182, v183, v184, 3, 4, 2) -> f_277(v168, v176, v170, v171, v172, v173, 1, v186, 0, v178, v189, v179, v180, v181, v182, v183, v184, 3, 4, 2) :|: TRUE
16.21/6.03	f_276(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4, 2) -> f_254(v168, v169, v170, v171, v172, v173, 1, v176, v186, v178, v188, v179, v180, v181, v182, v183, v184, 0, 3, 4) :|: TRUE
16.21/6.03	f_277(v168, v176, v170, v171, v172, v173, 1, v186, 0, v178, v189, v179, v180, v181, v182, v183, v184, 3, 4, 2) -> f_278(v168, v176, v170, v171, v172, v173, 1, v176, v186, 0, v178, v189, v179, v180, v181, v182, v183, v184, 3, 4) :|: TRUE
16.21/6.03	f_278(v219, v220, v221, v222, v223, v224, 1, v226, v227, 0, v229, v230, v231, v232, v233, v234, v235, v236, 3, 4) -> f_279(v219, v220, v221, v222, v223, v224, 0, 1, v226, v227, v229, v230, v231, v232, v233, v234, v235, v236, 3, 4) :|: 0 = 0
16.21/6.03	f_279(v219, v220, v221, v222, v223, v224, 0, 1, v226, v227, v229, v230, v231, v232, v233, v234, v235, v236, 3, 4) -> f_280(v219, v220, v221, v222, v223, v224, 0, v226, v227, v229, v230, v231, v232, v233, v234, v235, v236, 3, 1, 4) :|: 0 = 0
16.21/6.03	f_280(v219, v220, v221, v222, v223, v224, 0, v226, v227, v229, v230, v231, v232, v233, v234, v235, v236, 3, 1, 4) -> f_281(v219, v220, v221, v222, v223, v224, 0, v226, v227, v229, v230, v231, v232, v233, v234, v235, v236, 3, 1, 4) :|: TRUE
16.21/6.03	f_281(v219, v220, v221, v222, v223, v224, 0, v226, v227, v229, v230, v231, v232, v233, v234, v235, v236, 3, 1, 4) -> f_282(v219, v220, v221, v222, v223, v224, 0, v226, v227, v229, v230, v231, v232, v233, v234, v235, v236, 3, 1, 4) :|: 0 = 0
16.21/6.03	f_282(v219, v220, v221, v222, v223, v224, 0, v226, v227, v229, v230, v231, v232, v233, v234, v235, v236, 3, 1, 4) -> f_283(v231, v219, v220, v230, v232, 0, 3, 1, 4) :|: 0 = 0
16.21/6.03	Combined rules. Obtained 4 rulesP rules:
16.21/6.03	f_97 -> f_283(v1:0, v3:0, v4:0, 1, 3 + v1:0, 0, 3, 1, 4) :|: v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v9:0 > 0 && v11:0 > 0 && v4:0 <= v3:0
16.21/6.03	f_261(v168:0, v169:0, v170:0, v171:0, v172:0, v173:0, 1, v176:0, v186:0, v177:0, v178:0, v179:0, v180:0, v181:0, v182:0, v183:0, v184:0, 0, 3, 4) -> f_261(v168:0, v169:0, v170:0, v171:0, v172:0, v173:0, 1, v186:0, 1 + v186:0, v178:0, 1 + v178:0, v179:0, v180:0, v181:0, v182:0, v183:0, v184:0, 0, 3, 4) :|: v178:0 > 0 && v176:0 < v169:0
16.21/6.03	f_261(v168:0, v169:0, v170:0, v171:0, v172:0, v173:0, 1, v169:0, v186:0, v177:0, v178:0, v179:0, v180:0, v181:0, v182:0, v183:0, v184:0, 0, 3, 4) -> f_283(v179:0, v168:0, v169:0, 1 + v178:0, v180:0, 0, 3, 1, 4) :|: v178:0 > 0
16.21/6.03	f_97 -> f_261(v3:0, v4:0, v5:0, v7:0, v9:0, v11:0, 1, 1 + v3:0, 1 + (1 + v3:0), 0, 1, v1:0, 3 + v1:0, 3 + v5:0, 3 + v7:0, 3 + v9:0, 3 + v11:0, 0, 3, 4) :|: v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v9:0 > 0 && v11:0 > 0 && v4:0 > v3:0
16.21/6.03	Filtered unneeded arguments:
16.21/6.03	   f_261(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_261(x2, x8, x9, x11)
16.21/6.03	Removed division, modulo operations, cleaned up constraints. Obtained 4 rules.P rules:
16.21/6.03	f_97 -> f_283(v1:0, v3:0, v4:0, 1, 3 + v1:0, 0, 3, 1, 4) :|: v1:0 > 0 && v4:0 <= v3:0
16.21/6.03	f_261(v169:0, v176:0, v186:0, v178:0) -> f_261(v169:0, v186:0, 1 + v186:0, 1 + v178:0) :|: v178:0 > 0 && v176:0 < v169:0
16.21/6.03	f_261(v169:0, v169:01, v186:0, v178:0) -> f_283(v179:0, v168:0, v169:0, 1 + v178:0, v180:0, 0, 3, 1, 4) :|: v178:0 > 0 && v169:0 = v169:01
16.21/6.03	f_97 -> f_261(v4:0, 1 + v3:0, 1 + (1 + v3:0), 1) :|: v4:0 > v3:0
16.21/6.03	
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(6)
16.21/6.03	Obligation:
16.21/6.03	Rules:
16.21/6.03	f_97 -> f_283(v1:0, v3:0, v4:0, 1, 3 + v1:0, 0, 3, 1, 4) :|: v1:0 > 0 && v4:0 <= v3:0
16.21/6.03	f_261(v169:0, v176:0, v186:0, v178:0) -> f_261(v169:0, v186:0, 1 + v186:0, 1 + v178:0) :|: v178:0 > 0 && v176:0 < v169:0
16.21/6.03	f_261(x, x1, x2, x3) -> f_283(x4, x5, x, 1 + x3, x6, 0, 3, 1, 4) :|: x3 > 0 && x = x1
16.21/6.03	f_97 -> f_261(x7, 1 + x8, 1 + (1 + x8), 1) :|: x7 > x8
16.21/6.03	Start term: f_97
16.21/6.03	
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(7) IRS2T2 (EQUIVALENT)
16.21/6.03	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
16.21/6.03	
16.21/6.03	   (f_97_9,1)
16.21/6.03	   (f_283_9,2)
16.21/6.03	   (f_261_9,3)
16.21/6.03	
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(8)
16.21/6.03	Obligation:
16.21/6.03	START: 1;
16.21/6.03	
16.21/6.03	FROM: 1;
16.21/6.03	oldX0 := x0;
16.21/6.03	oldX1 := x1;
16.21/6.03	oldX2 := x2;
16.21/6.03	oldX3 := x3;
16.21/6.03	oldX4 := x4;
16.21/6.03	oldX5 := x5;
16.21/6.03	oldX6 := x6;
16.21/6.03	oldX7 := x7;
16.21/6.03	oldX8 := x8;
16.21/6.03	oldX9 := nondet();
16.21/6.03	oldX10 := nondet();
16.21/6.03	oldX11 := nondet();
16.21/6.03	assume(oldX9 > 0 && oldX11 <= oldX10);
16.21/6.03	x0 := oldX9;
16.21/6.03	x1 := oldX10;
16.21/6.03	x2 := oldX11;
16.21/6.03	x3 := 1;
16.21/6.03	x4 := 3 + oldX9;
16.21/6.03	x5 := 0;
16.21/6.03	x6 := 3;
16.21/6.03	x7 := 1;
16.21/6.03	x8 := 4;
16.21/6.03	TO: 2;
16.21/6.03	
16.21/6.03	FROM: 3;
16.21/6.03	oldX0 := x0;
16.21/6.03	oldX1 := x1;
16.21/6.03	oldX2 := x2;
16.21/6.03	oldX3 := x3;
16.21/6.03	oldX4 := x4;
16.21/6.03	oldX5 := x5;
16.21/6.03	oldX6 := x6;
16.21/6.03	oldX7 := x7;
16.21/6.03	oldX8 := x8;
16.21/6.03	oldX9 := nondet();
16.21/6.03	oldX10 := nondet();
16.21/6.03	oldX11 := nondet();
16.21/6.03	oldX12 := nondet();
16.21/6.03	oldX13 := nondet();
16.21/6.03	assume(oldX3 > 0 && oldX1 < oldX0);
16.21/6.03	x0 := oldX0;
16.21/6.03	x1 := oldX2;
16.21/6.03	x2 := 1 + oldX2;
16.21/6.03	x3 := 1 + oldX3;
16.21/6.03	x4 := oldX9;
16.21/6.03	x5 := oldX10;
16.21/6.03	x6 := oldX11;
16.21/6.03	x7 := oldX12;
16.21/6.03	x8 := oldX13;
16.21/6.03	TO: 3;
16.21/6.03	
16.21/6.03	FROM: 3;
16.21/6.03	oldX0 := x0;
16.21/6.03	oldX1 := x1;
16.21/6.03	oldX2 := x2;
16.21/6.03	oldX3 := x3;
16.21/6.03	oldX4 := x4;
16.21/6.03	oldX5 := x5;
16.21/6.03	oldX6 := x6;
16.21/6.03	oldX7 := x7;
16.21/6.03	oldX8 := x8;
16.21/6.03	oldX9 := nondet();
16.21/6.03	oldX10 := nondet();
16.21/6.03	oldX11 := nondet();
16.21/6.03	assume(oldX3 > 0 && oldX0 = oldX1);
16.21/6.03	x0 := oldX9;
16.21/6.03	x1 := oldX10;
16.21/6.03	x2 := oldX0;
16.21/6.03	x3 := 1 + oldX3;
16.21/6.03	x4 := oldX11;
16.21/6.03	x5 := 0;
16.21/6.03	x6 := 3;
16.21/6.03	x7 := 1;
16.21/6.03	x8 := 4;
16.21/6.03	TO: 2;
16.21/6.03	
16.21/6.03	FROM: 1;
16.21/6.03	oldX0 := x0;
16.21/6.03	oldX1 := x1;
16.21/6.03	oldX2 := x2;
16.21/6.03	oldX3 := x3;
16.21/6.03	oldX4 := x4;
16.21/6.03	oldX5 := x5;
16.21/6.03	oldX6 := x6;
16.21/6.03	oldX7 := x7;
16.21/6.03	oldX8 := x8;
16.21/6.03	oldX9 := nondet();
16.21/6.03	oldX10 := nondet();
16.21/6.03	oldX11 := nondet();
16.21/6.03	oldX12 := nondet();
16.21/6.03	oldX13 := nondet();
16.21/6.03	oldX14 := nondet();
16.21/6.03	oldX15 := nondet();
16.21/6.03	assume(oldX9 > oldX10);
16.21/6.03	x0 := oldX9;
16.21/6.03	x1 := 1 + oldX10;
16.21/6.03	x2 := 1 + (1 + oldX10);
16.21/6.03	x3 := 1;
16.21/6.03	x4 := oldX11;
16.21/6.03	x5 := oldX12;
16.21/6.03	x6 := oldX13;
16.21/6.03	x7 := oldX14;
16.21/6.03	x8 := oldX15;
16.21/6.03	TO: 3;
16.21/6.03	
16.21/6.03	
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(9) T2 (EQUIVALENT)
16.21/6.03	Used the following cutpoint-specific lexicographic rank functions:
16.21/6.03	 * For cutpoint 6, used the following rank functions/bounds (in descending priority order):
16.21/6.03	    - RF -x2+x0, bound -1
16.21/6.03	    - RF -x2+oldX9, bound -1
16.21/6.03	
16.21/6.03	----------------------------------------
16.21/6.03	
16.21/6.03	(10)
16.21/6.03	YES
16.24/7.23	EOF