14.81/5.24	YES
15.68/5.27	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
15.68/5.27	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
15.68/5.27	
15.68/5.27	
15.68/5.27	Termination of the given C Problem could be proven:
15.68/5.27	
15.68/5.27	(0) C Problem
15.68/5.27	(1) CToLLVMProof [EQUIVALENT, 172 ms]
15.68/5.27	(2) LLVM problem
15.68/5.27	(3) LLVMToTerminationGraphProof [EQUIVALENT, 2276 ms]
15.68/5.27	(4) LLVM Symbolic Execution Graph
15.68/5.27	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
15.68/5.27	(6) LLVM Symbolic Execution SCC
15.68/5.27	(7) SCC2IRS [SOUND, 95 ms]
15.68/5.27	(8) IntTRS
15.68/5.27	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
15.68/5.27	(10) IntTRS
15.68/5.27	(11) RankingReductionPairProof [EQUIVALENT, 22 ms]
15.68/5.27	(12) YES
15.68/5.27	
15.68/5.27	
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(0)
15.68/5.27	Obligation:
15.68/5.27	c file /export/starexec/sandbox/benchmark/theBenchmark.c
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(1) CToLLVMProof (EQUIVALENT)
15.68/5.27	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(2)
15.68/5.27	Obligation:
15.68/5.27	LLVM Problem
15.68/5.27	
15.68/5.27	Aliases:
15.68/5.27	
15.68/5.27	Data layout:
15.68/5.27	
15.68/5.27	"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"
15.68/5.27	
15.68/5.27	Machine:
15.68/5.27	
15.68/5.27	"x86_64-pc-linux-gnu"
15.68/5.27	
15.68/5.27	Type definitions:
15.68/5.27	
15.68/5.27	Global variables:
15.68/5.27	
15.68/5.27	Function declarations and definitions:
15.68/5.27	
15.68/5.27	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
15.68/5.27	*BasicFunctionTypename: "cstrlen" linkageType: EXTERNALLY_VISIBLE returnParam: i64 parameters: (str *i8) variableLength: false visibilityType: DEFAULT callingConvention: ccc
15.68/5.27		0:
15.68/5.27			%1 = alloca *i8, align 8
15.68/5.27			%s = alloca *i8, align 8
15.68/5.27			store %str, %1
15.68/5.27			%2 = load %1
15.68/5.27			store %2, %s
15.68/5.27			br %3
15.68/5.27		3:
15.68/5.27			%4 = load %s
15.68/5.27			%5 = load %4
15.68/5.27			%6 = icmp ne %5 0
15.68/5.27			br %6, %7, %11
15.68/5.27		7:
15.68/5.27			br %8
15.68/5.27		8:
15.68/5.27			%9 = load %s
15.68/5.27			%10 = getelementptr %9, 1
15.68/5.27			store %10, %s
15.68/5.27			br %3
15.68/5.27		11:
15.68/5.27			%12 = load %s
15.68/5.27			%13 = load %1
15.68/5.27			%14 = ptrtoint *i8 %12 to i64
15.68/5.27			%15 = ptrtoint *i8 %13 to i64
15.68/5.27			%16 = sub %14 %15
15.68/5.27			ret %16
15.68/5.27	
15.68/5.27	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
15.68/5.27		0:
15.68/5.27			%1 = alloca i32, align 4
15.68/5.27			%length1 = alloca i32, align 4
15.68/5.27			%nondetString1 = alloca *i8, align 8
15.68/5.27			store 0, %1
15.68/5.27			%2 = call i32 @__VERIFIER_nondet_int()
15.68/5.27			store %2, %length1
15.68/5.27			%3 = load %length1
15.68/5.27			%4 = icmp slt %3 1
15.68/5.27			br %4, %5, %6
15.68/5.27		5:
15.68/5.27			store 1, %length1
15.68/5.27			br %6
15.68/5.27		6:
15.68/5.27			%7 = load %length1
15.68/5.27			%8 = sext i32 %7 to i64
15.68/5.27			%9 = mul %8 1
15.68/5.27			%10 = alloca i8, numElementsLit: %9
15.68/5.27			store %10, %nondetString1
15.68/5.27			%11 = load %length1
15.68/5.27			%12 = sub %11 1
15.68/5.27			%13 = sext i32 %12 to i64
15.68/5.27			%14 = load %nondetString1
15.68/5.27			%15 = getelementptr %14, %13
15.68/5.27			store 0, %15
15.68/5.27			%16 = load %nondetString1
15.68/5.27			%17 = call i64 @cstrlen(*i8 %16)
15.68/5.27			%18 = trunc i64 %17 to i32
15.68/5.27			ret %18
15.68/5.27	
15.68/5.27	
15.68/5.27	Analyze Termination of all function calls matching the pattern:
15.68/5.27	main()
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(3) LLVMToTerminationGraphProof (EQUIVALENT)
15.68/5.27	Constructed symbolic execution graph for LLVM program and proved memory safety.
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(4)
15.68/5.27	Obligation:
15.68/5.27	SE Graph
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(5) SymbolicExecutionGraphToSCCProof (SOUND)
15.68/5.27	Splitted symbolic execution graph to 1 SCC.
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(6)
15.68/5.27	Obligation:
15.68/5.27	SCC
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(7) SCC2IRS (SOUND)
15.68/5.27	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
15.68/5.27	Generated rules. Obtained 11 rulesP rules:
15.68/5.27	f_287(v172, v173, v174, v178, v176, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_288(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
15.68/5.27	f_288(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_289(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: v194 != 0 && v178 < v185 && 4 <= v185
15.68/5.27	f_289(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_291(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: 0 = 0
15.68/5.27	f_291(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_293(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
15.68/5.27	f_293(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_295(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
15.68/5.27	f_295(v172, v173, v174, v178, v194, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_297(v172, v173, v174, v178, v194, 1, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: 0 = 0
15.68/5.27	f_297(v172, v173, v174, v178, v194, 1, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_299(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: v220 = 1 + v178 && 4 <= v220
15.68/5.27	f_299(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_301(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
15.68/5.27	f_301(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_303(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
15.68/5.27	f_303(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, v175, v176, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_286(v172, v173, v174, v178, v194, 1, v220, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: TRUE
15.68/5.27	f_286(v172, v173, v174, v175, v176, 1, v178, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) -> f_287(v172, v173, v174, v178, v176, 1, v175, v179, v186, v180, v187, v181, v188, v185, v189, v190, v192, 0, v182, v191, v193, v184, 3, 7, 2, 4, 8) :|: 0 = 0
15.68/5.27	Combined rules. Obtained 2 rulesP rules:
15.68/5.27	f_287(v172:0, v173:0, v174:0, v178:0, v176:0, 1, v175:0, v179:0, v186:0, v180:0, v187:0, v181:0, v188:0, v185:0, v189:0, v190:0, v192:0, 0, v182:0, v191:0, v193:0, v184:0, 3, 7, 2, 4, 8) -> f_287(v172:0, v173:0, v174:0, 1 + v178:0, v194:0, 1, v178:0, v179:0, v186:0, v180:0, v187:0, v181:0, v188:0, v185:0, v189:0, v190:0, v192:0, 0, v182:0, v191:0, v193:0, v184:0, 3, 7, 2, 4, 8) :|: v185:0 > v178:0 && v194:0 < 0 && v178:0 > 2 && v185:0 > 3
15.68/5.27	f_287(v172:0, v173:0, v174:0, v178:0, v176:0, 1, v175:0, v179:0, v186:0, v180:0, v187:0, v181:0, v188:0, v185:0, v189:0, v190:0, v192:0, 0, v182:0, v191:0, v193:0, v184:0, 3, 7, 2, 4, 8) -> f_287(v172:0, v173:0, v174:0, 1 + v178:0, v194:0, 1, v178:0, v179:0, v186:0, v180:0, v187:0, v181:0, v188:0, v185:0, v189:0, v190:0, v192:0, 0, v182:0, v191:0, v193:0, v184:0, 3, 7, 2, 4, 8) :|: v185:0 > v178:0 && v194:0 > 0 && v178:0 > 2 && v185:0 > 3
15.68/5.27	Filtered unneeded arguments:
15.68/5.27	   f_287(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) -> f_287(x4, x14)
15.68/5.27	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
15.68/5.27	f_287(v178:0, v185:0) -> f_287(1 + v178:0, v185:0) :|: v178:0 > 2 && v185:0 > 3 && v185:0 > v178:0
15.68/5.27	
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(8)
15.68/5.27	Obligation:
15.68/5.27	Rules:
15.68/5.27	f_287(v178:0, v185:0) -> f_287(1 + v178:0, v185:0) :|: v178:0 > 2 && v185:0 > 3 && v185:0 > v178:0
15.68/5.27	
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(9) IntTRSCompressionProof (EQUIVALENT)
15.68/5.27	Compressed rules.
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(10)
15.68/5.27	Obligation:
15.68/5.27	Rules:
15.68/5.27	f_287(v178:0:0, v185:0:0) -> f_287(1 + v178:0:0, v185:0:0) :|: v178:0:0 > 2 && v185:0:0 > 3 && v185:0:0 > v178:0:0
15.68/5.27	
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(11) RankingReductionPairProof (EQUIVALENT)
15.68/5.27	Interpretation:
15.68/5.27	[ f_287 ] = -1*f_287_1 + f_287_2
15.68/5.27	
15.68/5.27	The following rules are decreasing:
15.68/5.27	f_287(v178:0:0, v185:0:0) -> f_287(1 + v178:0:0, v185:0:0) :|: v178:0:0 > 2 && v185:0:0 > 3 && v185:0:0 > v178:0:0
15.68/5.27	
15.68/5.27	The following rules are bounded:
15.68/5.27	f_287(v178:0:0, v185:0:0) -> f_287(1 + v178:0:0, v185:0:0) :|: v178:0:0 > 2 && v185:0:0 > 3 && v185:0:0 > v178:0:0
15.68/5.27	
15.68/5.27	
15.68/5.27	----------------------------------------
15.68/5.27	
15.68/5.27	(12)
15.68/5.27	YES
15.75/5.32	EOF