16.72/5.77	YES
16.72/5.79	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
16.72/5.79	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.72/5.79	
16.72/5.79	
16.72/5.79	Termination of the given C Problem could be proven:
16.72/5.79	
16.72/5.79	(0) C Problem
16.72/5.79	(1) CToLLVMProof [EQUIVALENT, 175 ms]
16.72/5.79	(2) LLVM problem
16.72/5.79	(3) LLVMToTerminationGraphProof [EQUIVALENT, 1959 ms]
16.72/5.79	(4) LLVM Symbolic Execution Graph
16.72/5.79	(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 1 ms]
16.72/5.79	(6) LLVM Symbolic Execution Lasso
16.72/5.79	(7) Lasso2IRS [SOUND, 131 ms]
16.72/5.79	(8) IntTRS
16.72/5.79	(9) IRS2T2 [EQUIVALENT, 0 ms]
16.72/5.79	(10) T2IntSys
16.72/5.79	(11) T2 [EQUIVALENT, 1143 ms]
16.72/5.79	(12) YES
16.72/5.79	
16.72/5.79	
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(0)
16.72/5.79	Obligation:
16.72/5.79	c file /export/starexec/sandbox/benchmark/theBenchmark.c
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(1) CToLLVMProof (EQUIVALENT)
16.72/5.79	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(2)
16.72/5.79	Obligation:
16.72/5.79	LLVM Problem
16.72/5.79	
16.72/5.79	Aliases:
16.72/5.79	
16.72/5.79	Data layout:
16.72/5.79	
16.72/5.79	"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"
16.72/5.79	
16.72/5.79	Machine:
16.72/5.79	
16.72/5.79	"x86_64-pc-linux-gnu"
16.72/5.79	
16.72/5.79	Type definitions:
16.72/5.79	
16.72/5.79	Global variables:
16.72/5.79	
16.72/5.79	Function declarations and definitions:
16.72/5.79	
16.72/5.79	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc
16.72/5.79	*BasicFunctionTypename: "rec1" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (i i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.72/5.79		0:
16.72/5.79			%1 = alloca i32, align 4
16.72/5.79			%2 = alloca i32, align 4
16.72/5.79			store %i, %2
16.72/5.79			%3 = load %2
16.72/5.79			%4 = icmp sle %3 0
16.72/5.79			br %4, %5, %6
16.72/5.79		5:
16.72/5.79			store 0, %1
16.72/5.79			br %14
16.72/5.79		6:
16.72/5.79			%7 = load %2
16.72/5.79			%8 = sub %7 2
16.72/5.79			%9 = call i32 @rec1(i32 %8)
16.72/5.79			%10 = sub %9 1
16.72/5.79			%11 = call i32 @rec1(i32 %10)
16.72/5.79			%12 = call i32 @rec1(i32 %11)
16.72/5.79			%13 = add %12 1
16.72/5.79			store %13, %1
16.72/5.79			br %14
16.72/5.79		14:
16.72/5.79			%15 = load %1
16.72/5.79			ret %15
16.72/5.79	
16.72/5.79	*BasicFunctionTypename: "rec2" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (j i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.72/5.79		0:
16.72/5.79			%1 = alloca i32, align 4
16.72/5.79			%2 = alloca i32, align 4
16.72/5.79			store %j, %2
16.72/5.79			%3 = load %2
16.72/5.79			%4 = icmp sle %3 0
16.72/5.79			br %4, %5, %6
16.72/5.79		5:
16.72/5.79			store 0, %1
16.72/5.79			br %12
16.72/5.79		6:
16.72/5.79			%7 = load %2
16.72/5.79			%8 = add %7 1
16.72/5.79			%9 = call i32 @rec1(i32 %8)
16.72/5.79			%10 = call i32 @rec2(i32 %9)
16.72/5.79			%11 = sub %10 1
16.72/5.79			store %11, %1
16.72/5.79			br %12
16.72/5.79		12:
16.72/5.79			%13 = load %1
16.72/5.79			ret %13
16.72/5.79	
16.72/5.79	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.72/5.79		0:
16.72/5.79			%1 = alloca i32, align 4
16.72/5.79			%x = alloca i32, align 4
16.72/5.79			store 0, %1
16.72/5.79			%2 = call i32 (...)* @__VERIFIER_nondet_int()
16.72/5.79			store %2, %x
16.72/5.79			%3 = load %x
16.72/5.79			%4 = call i32 @rec1(i32 %3)
16.72/5.79			%5 = load %1
16.72/5.79			ret %5
16.72/5.79	
16.72/5.79	
16.72/5.79	Analyze Termination of all function calls matching the pattern:
16.72/5.79	main()
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(3) LLVMToTerminationGraphProof (EQUIVALENT)
16.72/5.79	Constructed symbolic execution graph for LLVM program and proved memory safety.
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(4)
16.72/5.79	Obligation:
16.72/5.79	SE Graph
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(5) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
16.72/5.79	Converted SEGraph to 1 independent lasso.
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(6)
16.72/5.79	Obligation:
16.72/5.79	Lasso
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(7) Lasso2IRS (SOUND)
16.72/5.79	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
16.72/5.79	Generated rules. Obtained 57 rulesP rules:
16.72/5.79	f_191(v45, v52, v46, v47, v48, v49, v53, 0, v51, 3, 1, 4) -> f_192(v45, v52, v54, v46, v47, v48, v49, v53, v55, 0, v51, 3, 1, 4) :|: 1 <= v54 && v55 = 3 + v54 && 4 <= v55
16.72/5.79	f_192(v45, v52, v54, v46, v47, v48, v49, v53, v55, 0, v51, 3, 1, 4) -> f_193(v45, v52, v54, v46, v47, v48, v49, v53, v55, 0, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_193(v45, v52, v54, v46, v47, v48, v49, v53, v55, 0, v51, 3, 1, 4) -> f_194(v45, v52, v54, v46, v47, v48, v49, v53, v55, 0, v51, 3, 1, 4) :|: 0 = 0
16.72/5.79	f_194(v45, v52, v54, v46, v47, v48, v49, v53, v55, 0, v51, 3, 1, 4) -> f_196(v45, v52, v54, v46, v47, v48, v49, v53, v55, 0, v51, 3, 1, 4) :|: 0 < v45 && 1 <= v51
16.72/5.79	f_196(v45, v52, v54, v46, v47, v48, v49, v53, v55, 0, v51, 3, 1, 4) -> f_198(v45, v52, v54, 0, v46, v47, v48, v49, v53, v55, v51, 3, 1, 4) :|: 0 = 0
16.72/5.79	f_198(v45, v52, v54, 0, v46, v47, v48, v49, v53, v55, v51, 3, 1, 4) -> f_200(v45, v52, v54, 0, v46, v47, v48, v49, v53, v55, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_200(v45, v52, v54, 0, v46, v47, v48, v49, v53, v55, v51, 3, 1, 4) -> f_202(v45, v52, v54, 0, v46, v47, v48, v49, v53, v55, v51, 3, 1, 4) :|: 0 = 0
16.72/5.79	f_202(v45, v52, v54, 0, v46, v47, v48, v49, v53, v55, v51, 3, 1, 4) -> f_204(v45, v52, v54, 0, v57, v46, v47, v48, v49, v53, v55, v51, 3, 2, 1, 4) :|: 2 + v57 = v45 && 0 <= 1 + v57
16.72/5.79	f_204(v45, v52, v54, 0, v57, v46, v47, v48, v49, v53, v55, v51, 3, 2, 1, 4) -> f_206(v57, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 1, 4) :|: 0 = 0
16.72/5.79	f_206(v57, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 1, 4) -> f_208(v57, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 1, 4) :|: TRUE
16.72/5.79	f_206(v57, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 1, 4) -> f_211(v57, 0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 2, 1, 4) :|: TRUE
16.72/5.79	f_206(v57, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 1, 4) -> f_318(v57, 1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 4) :|: TRUE
16.72/5.79	f_206(v57, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 1, 4) -> f_342(v57, 1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 4) :|: TRUE
16.72/5.79	f_206(v57, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 1, 4) -> f_365(v57, 1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 4) :|: TRUE
16.72/5.79	f_208(v57, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 1, 4) -> f_189(v57, v46, v47, v48, v49, 0, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_189(v45, v46, v47, v48, v49, 0, v51, 3, 1, 4) -> f_191(v45, v52, v46, v47, v48, v49, v53, 0, v51, 3, 1, 4) :|: 1 <= v52 && v53 = 3 + v52 && 4 <= v53
16.72/5.79	f_211(v57, 0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 2, 1, 4) -> f_212(v45, v52, v54, 0, v57, v46, v47, v48, v49, v53, v55, v51, 3, 2, 1, 4) :|: 0 = 0
16.72/5.79	f_212(v45, v52, v54, 0, v57, v46, v47, v48, v49, v53, v55, v51, 3, 2, 1, 4) -> f_213(v45, v52, v54, 0, v57, -1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 1, 4) :|: 0 = 0
16.72/5.79	f_213(v45, v52, v54, 0, v57, -1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 1, 4) -> f_214(-1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, v57, 3, 2, 1, 4) :|: 0 = 0
16.72/5.79	f_214(-1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, v57, 3, 2, 1, 4) -> f_215(-1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 1, 2, 4) :|: TRUE
16.72/5.79	f_214(-1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, v57, 3, 2, 1, 4) -> f_216(-1, 0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 3, 2, 1, 4) :|: TRUE
16.72/5.79	f_215(-1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 1, 2, 4) -> f_189(-1, v46, v47, v48, v49, 0, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_216(-1, 0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 3, 2, 1, 4) -> f_217(v45, v52, v54, 0, v57, -1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 1, 4) :|: 0 = 0
16.72/5.79	f_217(v45, v52, v54, 0, v57, -1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 1, 4) -> f_218(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, -1, 3, 2, 1, 4) :|: 0 = 0
16.72/5.79	f_218(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, -1, 3, 2, 1, 4) -> f_219(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 2, 4) :|: TRUE
16.72/5.79	f_219(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 2, 4) -> f_189(0, v46, v47, v48, v49, 0, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_318(v57, 1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 4) -> f_324(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_324(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) -> f_326(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_326(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) -> f_327(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_327(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) -> f_328(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 4) :|: TRUE
16.72/5.79	f_327(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) -> f_329(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) :|: TRUE
16.72/5.79	f_328(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 4) -> f_189(0, v46, v47, v48, v49, 0, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_329(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) -> f_331(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_331(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) -> f_332(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_332(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) -> f_333(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 4) :|: TRUE
16.72/5.79	f_333(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 4) -> f_189(0, v46, v47, v48, v49, 0, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_342(v57, 1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 4) -> f_348(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_348(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) -> f_350(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_350(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) -> f_351(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_351(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) -> f_352(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 4) :|: TRUE
16.72/5.79	f_351(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) -> f_353(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) :|: TRUE
16.72/5.79	f_352(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 4) -> f_189(0, v46, v47, v48, v49, 0, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_353(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) -> f_355(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_355(v45, v52, v54, 0, v57, 1, v46, v47, v48, v49, v53, v55, v51, 3, 2, 4) -> f_356(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) :|: 0 = 0
16.72/5.79	f_356(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, v57, 1, 3, 2, 4) -> f_357(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 4) :|: TRUE
16.72/5.79	f_357(0, v46, v47, v48, v49, v52, v53, v54, v55, v51, v45, 3, 1, 4) -> f_189(0, v46, v47, v48, v49, 0, v51, 3, 1, 4) :|: TRUE
16.72/5.79	f_365(v57, 1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 4) -> f_342(v57, 1, v46, v47, v48, v49, v52, v53, v54, v55, 0, v51, v45, 3, 2, 4) :|: TRUE
16.72/5.79	f_140 -> f_141(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
16.72/5.79	f_141(v1, v2, 3, 1, 4) -> f_142(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4
16.72/5.79	f_142(v1, v3, v2, v4, 3, 1, 4) -> f_143(v1, v3, v2, v4, 0, 3, 1, 4) :|: TRUE
16.72/5.79	f_143(v1, v3, v2, v4, 0, 3, 1, 4) -> f_144(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE
16.72/5.79	f_144(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_145(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE
16.72/5.79	f_145(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_146(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: 0 = 0
16.72/5.79	f_146(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_147(v5, v1, v2, v3, v4, 0, 3, 1, 4) :|: 0 = 0
16.72/5.79	f_147(v5, v1, v2, v3, v4, 0, 3, 1, 4) -> f_148(v5, v1, v2, v3, v4, 0, 3, 1, 4) :|: TRUE
16.72/5.79	f_148(v5, v1, v2, v3, v4, 0, 3, 1, 4) -> f_168(v5, v1, v2, v3, v4, 0, v5, 3, 2, 1, 4) :|: TRUE
16.72/5.79	f_168(v22, v23, v24, v25, v26, 0, v28, 3, 2, 1, 4) -> f_189(v22, v23, v24, v25, v26, 0, v28, 3, 1, 4) :|: TRUE
16.72/5.79	Combined rules. Obtained 6 rulesP rules:
16.72/5.79	f_191(2 + v57:0, v52:0, v46:0, v47:0, v48:0, v49:0, v53:0, 0, v51:0, 3, 1, 4) -> f_351(0, v46:0, v47:0, v48:0, v49:0, v52:0, v53:0, v54:0, 3 + v54:0, v51:0, 2 + v57:0, v57:0, 1, 3, 2, 4) :|: v54:0 > 0 && v51:0 > 0 && v57:0 > -2
16.72/5.79	f_191(2 + v57:0, v52:0, v46:0, v47:0, v48:0, v49:0, v53:0, 0, v51:0, 3, 1, 4) -> f_191(0, v52:1, v46:0, v47:0, v48:0, v49:0, 3 + v52:1, 0, v51:0, 3, 1, 4) :|: v54:0 > 0 && v51:0 > 0 && v57:0 > -2 && v52:1 > 0
16.72/5.79	f_351(0, v46:0, v47:0, v48:0, v49:0, v52:0, v53:0, v54:0, v55:0, v51:0, v45:0, v57:0, 1, 3, 2, 4) -> f_191(0, v52:1, v46:0, v47:0, v48:0, v49:0, 3 + v52:1, 0, v51:0, 3, 1, 4) :|: v52:1 > 0
16.72/5.79	f_191(2 + v57:0, v52:0, v46:0, v47:0, v48:0, v49:0, v53:0, 0, v51:0, 3, 1, 4) -> f_191(-1, v52:1, v46:0, v47:0, v48:0, v49:0, 3 + v52:1, 0, v51:0, 3, 1, 4) :|: v54:0 > 0 && v51:0 > 0 && v57:0 > -2 && v52:1 > 0
16.72/5.79	f_191(2 + v57:0, v52:0, v46:0, v47:0, v48:0, v49:0, v53:0, 0, v51:0, 3, 1, 4) -> f_191(v57:0, v52:1, v46:0, v47:0, v48:0, v49:0, 3 + v52:1, 0, v51:0, 3, 1, 4) :|: v54:0 > 0 && v51:0 > 0 && v57:0 > -2 && v52:1 > 0
16.72/5.79	f_140 -> f_191(v5:0, v52:0, v1:0, 3 + v1:0, v3:0, 3 + v3:0, 3 + v52:0, 0, v5:0, 3, 1, 4) :|: v3:0 > 0 && v1:0 > 0 && v52:0 > 0
16.72/5.79	Filtered unneeded arguments:
16.72/5.79	   f_191(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f_191(x1, x9)
16.72/5.79	   f_351(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_351(x10)
16.72/5.79	Removed division, modulo operations, cleaned up constraints. Obtained 6 rules.P rules:
16.72/5.79	f_191(sum~cons_2~v57:0, v51:0) -> f_351(v51:0) :|: v51:0 > 0 && v57:0 > -2 && sum~cons_2~v57:0 = 2 + v57:0
16.72/5.79	f_191(sum~cons_2~v57:0, v51:0) -> f_191(0, v51:0) :|: v51:0 > 0 && v57:0 > -2 && sum~cons_2~v57:0 = 2 + v57:0
16.72/5.79	f_351(v51:0) -> f_191(0, v51:0) :|: TRUE
16.72/5.79	f_191(sum~cons_2~v57:0, v51:0) -> f_191(-1, v51:0) :|: v51:0 > 0 && v57:0 > -2 && sum~cons_2~v57:0 = 2 + v57:0
16.72/5.79	f_191(sum~cons_2~v57:0, v51:0) -> f_191(v57:0, v51:0) :|: v51:0 > 0 && v57:0 > -2 && sum~cons_2~v57:0 = 2 + v57:0
16.72/5.79	f_140 -> f_191(v5:0, v5:0) :|: TRUE
16.72/5.79	
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(8)
16.72/5.79	Obligation:
16.72/5.79	Rules:
16.72/5.79	f_191(sum~cons_2~v57:0, v51:0) -> f_351(v51:0) :|: v51:0 > 0 && v57:0 > -2 && sum~cons_2~v57:0 = 2 + v57:0
16.72/5.79	f_191(x, x1) -> f_191(0, x1) :|: x1 > 0 && x2 > -2 && x = 2 + x2
16.72/5.79	f_351(x3) -> f_191(0, x3) :|: TRUE
16.72/5.79	f_191(x4, x5) -> f_191(-1, x5) :|: x5 > 0 && x6 > -2 && x4 = 2 + x6
16.72/5.79	f_191(x7, x8) -> f_191(x9, x8) :|: x8 > 0 && x9 > -2 && x7 = 2 + x9
16.72/5.79	f_140 -> f_191(v5:0, v5:0) :|: TRUE
16.72/5.79	Start term: f_140
16.72/5.79	
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(9) IRS2T2 (EQUIVALENT)
16.72/5.79	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
16.72/5.79	
16.72/5.79	   (f_191_2,1)
16.72/5.79	   (f_351_2,2)
16.72/5.79	   (f_140_2,3)
16.72/5.79	
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(10)
16.72/5.79	Obligation:
16.72/5.79	START: 3;
16.72/5.79	
16.72/5.79	FROM: 1;
16.72/5.79	oldX0 := x0;
16.72/5.79	oldX1 := x1;
16.72/5.79	oldX3 := oldX0 - 2;
16.72/5.79	oldX2 := nondet();
16.72/5.79	assume(oldX1 > 0 && oldX3 > -2 && oldX0 = 2 + oldX3);
16.72/5.79	x0 := oldX1;
16.72/5.79	x1 := oldX2;
16.72/5.79	TO: 2;
16.72/5.79	
16.72/5.79	FROM: 1;
16.72/5.79	oldX0 := x0;
16.72/5.79	oldX1 := x1;
16.72/5.79	oldX2 := oldX0 - 2;
16.72/5.79	assume(oldX1 > 0 && oldX2 > -2 && oldX0 = 2 + oldX2);
16.72/5.79	x0 := 0;
16.72/5.79	x1 := oldX1;
16.72/5.79	TO: 1;
16.72/5.79	
16.72/5.79	FROM: 2;
16.72/5.79	oldX0 := x0;
16.72/5.79	oldX1 := x1;
16.72/5.79	assume(0 = 0);
16.72/5.79	x0 := 0;
16.72/5.79	x1 := oldX0;
16.72/5.79	TO: 1;
16.72/5.79	
16.72/5.79	FROM: 1;
16.72/5.79	oldX0 := x0;
16.72/5.79	oldX1 := x1;
16.72/5.79	oldX2 := oldX0 - 2;
16.72/5.79	assume(oldX1 > 0 && oldX2 > -2 && oldX0 = 2 + oldX2);
16.72/5.79	x0 := -1;
16.72/5.79	x1 := oldX1;
16.72/5.79	TO: 1;
16.72/5.79	
16.72/5.79	FROM: 1;
16.72/5.79	oldX0 := x0;
16.72/5.79	oldX1 := x1;
16.72/5.79	oldX2 := oldX0 - 2;
16.72/5.79	assume(oldX1 > 0 && oldX2 > -2 && oldX0 = 2 + oldX2);
16.72/5.79	x0 := oldX0 - 2;
16.72/5.79	x1 := oldX1;
16.72/5.79	TO: 1;
16.72/5.79	
16.72/5.79	FROM: 3;
16.72/5.79	oldX0 := x0;
16.72/5.79	oldX1 := x1;
16.72/5.79	oldX2 := nondet();
16.72/5.79	assume(0 = 0);
16.72/5.79	x0 := oldX2;
16.72/5.79	x1 := oldX2;
16.72/5.79	TO: 1;
16.72/5.79	
16.72/5.79	
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(11) T2 (EQUIVALENT)
16.72/5.79	Initially, performed program simplifications using lexicographic rank functions:
16.72/5.79	 * Removed transitions 1, 4, 5, 6, 7 using the following rank functions:
16.72/5.79	    - Rank function 1:
16.72/5.79	      RF for loc. 5: 1+2*x0
16.72/5.79	      RF for loc. 6: 2*x0
16.72/5.79	      Bound for (chained) transitions 4: 2
16.72/5.79	      Bound for (chained) transitions 5: 2
16.72/5.79	      Bound for (chained) transitions 6: 2
16.72/5.79	      Bound for (chained) transitions 7: 2
16.72/5.79	    - Rank function 2:
16.72/5.79	      RF for loc. 5: 0
16.72/5.79	      RF for loc. 6: -1
16.72/5.79	      Bound for (chained) transitions 1: 0
16.72/5.79	
16.72/5.79	----------------------------------------
16.72/5.79	
16.72/5.79	(12)
16.72/5.79	YES
16.88/8.41	EOF