19.81/6.60	YES
19.81/6.62	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
19.81/6.62	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
19.81/6.62	
19.81/6.62	
19.81/6.62	Termination of the given C Problem could be proven:
19.81/6.62	
19.81/6.62	(0) C Problem
19.81/6.62	(1) CToLLVMProof [EQUIVALENT, 173 ms]
19.81/6.62	(2) LLVM problem
19.81/6.62	(3) LLVMToTerminationGraphProof [EQUIVALENT, 3491 ms]
19.81/6.62	(4) LLVM Symbolic Execution Graph
19.81/6.62	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
19.81/6.62	(6) LLVM Symbolic Execution SCC
19.81/6.62	(7) SCC2IRS [SOUND, 66 ms]
19.81/6.62	(8) IntTRS
19.81/6.62	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
19.81/6.62	(10) IntTRS
19.81/6.62	(11) RankingReductionPairProof [EQUIVALENT, 26 ms]
19.81/6.62	(12) YES
19.81/6.62	
19.81/6.62	
19.81/6.62	----------------------------------------
19.81/6.62	
19.81/6.62	(0)
19.81/6.62	Obligation:
19.81/6.62	c file /export/starexec/sandbox/benchmark/theBenchmark.c
19.81/6.62	----------------------------------------
19.81/6.62	
19.81/6.62	(1) CToLLVMProof (EQUIVALENT)
19.81/6.62	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
19.81/6.62	----------------------------------------
19.81/6.62	
19.81/6.62	(2)
19.81/6.62	Obligation:
19.81/6.62	LLVM Problem
19.81/6.62	
19.81/6.62	Aliases:
19.81/6.62	
19.81/6.62	Data layout:
19.81/6.62	
19.81/6.62	"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"
19.81/6.62	
19.81/6.62	Machine:
19.81/6.62	
19.81/6.62	"x86_64-pc-linux-gnu"
19.81/6.62	
19.81/6.62	Type definitions:
19.81/6.62	
19.81/6.62	Global variables:
19.81/6.62	
19.81/6.62	Function declarations and definitions:
19.81/6.62	
19.81/6.62	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
19.81/6.62	*BasicFunctionTypename: "llvm.stacksave" returnParam: *i8 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
19.81/6.62	*BasicFunctionTypename: "llvm.stackrestore" returnParam: BasicVoidType parameters: (*i8) variableLength: false visibilityType: DEFAULT callingConvention: ccc
19.81/6.62	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
19.81/6.62		0:
19.81/6.62			%1 = alloca i32, align 4
19.81/6.62			%a_length = alloca i32, align 4
19.81/6.62			%2 = alloca *i8
19.81/6.62			%offset = alloca i32, align 4
19.81/6.62			%i = alloca i32, align 4
19.81/6.62			%3 = alloca i32
19.81/6.62			store 0, %1
19.81/6.62			%4 = call i32 @__VERIFIER_nondet_int()
19.81/6.62			store %4, %a_length
19.81/6.62			%5 = load %a_length
19.81/6.62			%6 = icmp slt %5 1
19.81/6.62			br %6, %7, %8
19.81/6.62		7:
19.81/6.62			store 0, %1
19.81/6.62			br %35
19.81/6.62		8:
19.81/6.62			%9 = load %a_length
19.81/6.62			%10 = zext i32 %9 to i64
19.81/6.62			%11 = call *i8 @llvm.stacksave()
19.81/6.62			store %11, %2
19.81/6.62			%12 = alloca i32, numElementsLit: %10, align 16
19.81/6.62			store 1, %offset
19.81/6.62			store 0, %i
19.81/6.62			br %13
19.81/6.62		13:
19.81/6.62			%14 = load %i
19.81/6.62			%15 = load %a_length
19.81/6.62			%16 = icmp slt %14 %15
19.81/6.62			br %16, %17, %33
19.81/6.62		17:
19.81/6.62			%18 = load %i
19.81/6.62			%19 = sext i32 %18 to i64
19.81/6.62			%20 = getelementptr %12, %19
19.81/6.62			%21 = load %20
19.81/6.62			%22 = icmp slt %21 0
19.81/6.62			br %22, %23, %24
19.81/6.62		23:
19.81/6.62			br %33
19.81/6.62		24:
19.81/6.62			%25 = load %i
19.81/6.62			%26 = load %offset
19.81/6.62			%27 = add %25 %26
19.81/6.62			%28 = load %i
19.81/6.62			%29 = sext i32 %28 to i64
19.81/6.62			%30 = getelementptr %12, %29
19.81/6.62			%31 = load %30
19.81/6.62			%32 = add %27 %31
19.81/6.62			store %32, %i
19.81/6.62			br %13
19.81/6.62		33:
19.81/6.62			store 0, %1
19.81/6.62			store 1, %3
19.81/6.62			%34 = load %2
19.81/6.62			Unnamed Call-Instruction = call BasicVoidType @llvm.stackrestore(*i8 %34)
19.81/6.62			br %35
19.81/6.62		35:
19.81/6.62			%36 = load %1
19.81/6.62			ret %36
19.81/6.62	
19.81/6.62	
19.81/6.62	Analyze Termination of all function calls matching the pattern:
19.81/6.62	main()
19.81/6.62	----------------------------------------
19.81/6.62	
19.81/6.62	(3) LLVMToTerminationGraphProof (EQUIVALENT)
19.81/6.62	Constructed symbolic execution graph for LLVM program and proved memory safety.
19.81/6.62	----------------------------------------
19.81/6.62	
19.81/6.62	(4)
19.81/6.62	Obligation:
19.81/6.62	SE Graph
19.81/6.62	----------------------------------------
19.81/6.62	
19.81/6.62	(5) SymbolicExecutionGraphToSCCProof (SOUND)
19.81/6.62	Splitted symbolic execution graph to 1 SCC.
19.81/6.62	----------------------------------------
19.81/6.62	
19.81/6.62	(6)
19.81/6.62	Obligation:
19.81/6.62	SCC
19.81/6.62	----------------------------------------
19.81/6.62	
19.81/6.62	(7) SCC2IRS (SOUND)
19.81/6.62	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
19.81/6.62	Generated rules. Obtained 23 rulesP rules:
19.81/6.62	f_298(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) -> f_299(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) :|: 0 = 0
19.81/6.62	f_299(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) -> f_300(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: v158 < v149 && 2 <= v149 && 8 <= v165
19.81/6.62	f_300(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_302(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: 0 = 0
19.81/6.62	f_302(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_304(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: TRUE
19.81/6.62	f_304(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_306(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: 0 = 0
19.81/6.62	f_306(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_308(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v155, v156, v153, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) :|: 0 = 0
19.81/6.62	f_308(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v155, v156, v153, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8) -> f_310(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v156, v153, v157, v155, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: v167 = v152 + 4 * v158 && 5 <= v167
19.81/6.62	f_310(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v156, v153, v157, v155, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_312(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: TRUE
19.81/6.62	f_312(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_315(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 <= v168
19.81/6.62	f_315(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_318(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0
19.81/6.62	f_318(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_321(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: TRUE
19.81/6.62	f_321(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v153, v157, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_323(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v157, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0
19.81/6.62	f_323(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v157, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_325(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v157, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0
19.81/6.62	f_325(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v157, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_327(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: v191 = 1 + v158 && 2 <= v191
19.81/6.62	f_327(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_329(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0
19.81/6.62	f_329(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v153, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_331(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) :|: 0 = 0
19.81/6.62	f_331(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v155, v156, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 2, 8, 5) -> f_333(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v156, v159, v160, v161, v162, v163, v164, v165, v166, v155, 3, 7, 4, 2, 8, 5) :|: v167 = v152 + 4 * v158
19.81/6.62	f_333(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v156, v159, v160, v161, v162, v163, v164, v165, v166, v155, 3, 7, 4, 2, 8, 5) -> f_335(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) :|: 0 = 0
19.81/6.62	f_335(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) -> f_336(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) :|: v213 = v191 + v168 && 2 <= v213
19.81/6.62	f_336(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) -> f_337(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) :|: TRUE
19.81/6.62	f_337(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) -> f_338(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) :|: TRUE
19.81/6.62	f_338(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, v155, v156, 3, 7, 4, 2, 8, 5) -> f_297(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v167, v168, v191, v213, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) :|: TRUE
20.03/6.62	f_297(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v153, 1, v155, v156, v157, v158, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) -> f_298(v143, v144, v145, v146, v147, v148, v149, 0, v151, v152, v158, 1, v153, v155, v156, v157, v159, v160, v161, v162, v163, v164, v165, v166, 3, 7, 4, 8) :|: 0 = 0
20.03/6.62	Combined rules. Obtained 1 rulesP rules:
20.03/6.62	f_298(v143:0, v144:0, v145:0, v146:0, v147:0, v148:0, v149:0, 0, v151:0, v152:0, v158:0, 1, v153:0, v155:0, v156:0, v157:0, v159:0, v160:0, v161:0, v162:0, v163:0, v164:0, v165:0, v166:0, 3, 7, 4, 8) -> f_298(v143:0, v144:0, v145:0, v146:0, v147:0, v148:0, v149:0, 0, v151:0, v152:0, 1 + v158:0 + v168:0, 1, v158:0, v152:0 + 4 * v158:0, v168:0, 1 + v158:0, v159:0, v160:0, v161:0, v162:0, v163:0, v164:0, v165:0, v166:0, 3, 7, 4, 8) :|: v149:0 > 1 && v158:0 < v149:0 && v165:0 > 7 && v152:0 + 4 * v158:0 > 4 && v168:0 > -1 && 1 + v158:0 + v168:0 > 1 && v158:0 > 0
20.03/6.62	Filtered unneeded arguments:
20.03/6.62	   f_298(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, x28) -> f_298(x7, x10, x11, x23)
20.03/6.62	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
20.03/6.62	f_298(v149:0, v152:0, v158:0, v165:0) -> f_298(v149:0, v152:0, 1 + v158:0 + v168:0, v165:0) :|: v158:0 < v149:0 && v149:0 > 1 && v165:0 > 7 && v152:0 + 4 * v158:0 > 4 && v168:0 > -1 && v158:0 > 0 && 1 + v158:0 + v168:0 > 1
20.03/6.62	
20.03/6.62	----------------------------------------
20.03/6.62	
20.03/6.62	(8)
20.03/6.62	Obligation:
20.03/6.62	Rules:
20.03/6.62	f_298(v149:0, v152:0, v158:0, v165:0) -> f_298(v149:0, v152:0, 1 + v158:0 + v168:0, v165:0) :|: v158:0 < v149:0 && v149:0 > 1 && v165:0 > 7 && v152:0 + 4 * v158:0 > 4 && v168:0 > -1 && v158:0 > 0 && 1 + v158:0 + v168:0 > 1
20.03/6.62	
20.03/6.62	----------------------------------------
20.03/6.62	
20.03/6.62	(9) IntTRSCompressionProof (EQUIVALENT)
20.03/6.62	Compressed rules.
20.03/6.62	----------------------------------------
20.03/6.62	
20.03/6.62	(10)
20.03/6.62	Obligation:
20.03/6.62	Rules:
20.03/6.62	f_298(v149:0:0, v152:0:0, v158:0:0, v165:0:0) -> f_298(v149:0:0, v152:0:0, 1 + v158:0:0 + v168:0:0, v165:0:0) :|: v158:0:0 > 0 && 1 + v158:0:0 + v168:0:0 > 1 && v168:0:0 > -1 && v152:0:0 + 4 * v158:0:0 > 4 && v165:0:0 > 7 && v149:0:0 > 1 && v158:0:0 < v149:0:0
20.03/6.62	
20.03/6.62	----------------------------------------
20.03/6.62	
20.03/6.62	(11) RankingReductionPairProof (EQUIVALENT)
20.03/6.62	Interpretation:
20.03/6.62	[ f_298 ] = -1*f_298_3 + f_298_1
20.03/6.62	
20.03/6.62	The following rules are decreasing:
20.03/6.62	f_298(v149:0:0, v152:0:0, v158:0:0, v165:0:0) -> f_298(v149:0:0, v152:0:0, 1 + v158:0:0 + v168:0:0, v165:0:0) :|: v158:0:0 > 0 && 1 + v158:0:0 + v168:0:0 > 1 && v168:0:0 > -1 && v152:0:0 + 4 * v158:0:0 > 4 && v165:0:0 > 7 && v149:0:0 > 1 && v158:0:0 < v149:0:0
20.03/6.62	
20.03/6.62	The following rules are bounded:
20.03/6.62	f_298(v149:0:0, v152:0:0, v158:0:0, v165:0:0) -> f_298(v149:0:0, v152:0:0, 1 + v158:0:0 + v168:0:0, v165:0:0) :|: v158:0:0 > 0 && 1 + v158:0:0 + v168:0:0 > 1 && v168:0:0 > -1 && v152:0:0 + 4 * v158:0:0 > 4 && v165:0:0 > 7 && v149:0:0 > 1 && v158:0:0 < v149:0:0
20.03/6.62	
20.03/6.62	
20.03/6.62	----------------------------------------
20.03/6.62	
20.03/6.62	(12)
20.03/6.62	YES
20.19/10.96	EOF