10.17/4.14	YES
10.91/4.18	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
10.91/4.18	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.91/4.18	
10.91/4.18	
10.91/4.18	Termination of the given C Problem could be proven:
10.91/4.18	
10.91/4.18	(0) C Problem
10.91/4.18	(1) CToLLVMProof [EQUIVALENT, 144 ms]
10.91/4.18	(2) LLVM problem
10.91/4.18	(3) LLVMToTerminationGraphProof [EQUIVALENT, 1362 ms]
10.91/4.18	(4) LLVM Symbolic Execution Graph
10.91/4.18	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
10.91/4.18	(6) LLVM Symbolic Execution SCC
10.91/4.18	(7) SCC2IRS [SOUND, 71 ms]
10.91/4.18	(8) IntTRS
10.91/4.18	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
10.91/4.18	(10) IntTRS
10.91/4.18	(11) PolynomialOrderProcessor [EQUIVALENT, 13 ms]
10.91/4.18	(12) YES
10.91/4.18	
10.91/4.18	
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(0)
10.91/4.18	Obligation:
10.91/4.18	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(1) CToLLVMProof (EQUIVALENT)
10.91/4.18	Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(2)
10.91/4.18	Obligation:
10.91/4.18	LLVM Problem
10.91/4.18	
10.91/4.18	Aliases:
10.91/4.18	
10.91/4.18	Data layout:
10.91/4.18	
10.91/4.18	"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"
10.91/4.18	
10.91/4.18	Machine:
10.91/4.18	
10.91/4.18	"x86_64-pc-linux-gnu"
10.91/4.18	
10.91/4.18	Type definitions:
10.91/4.18	
10.91/4.18	Global variables:
10.91/4.18	
10.91/4.18	Function declarations and definitions:
10.91/4.18	
10.91/4.18	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
10.91/4.18	*BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
10.91/4.18		0:
10.91/4.18			%1 = alloca i32, align 4
10.91/4.18			%2 = alloca i32, align 4
10.91/4.18			%c = alloca i32, align 4
10.91/4.18			store %x, %1
10.91/4.18			store %y, %2
10.91/4.18			store 0, %c
10.91/4.18			br %3
10.91/4.18		3:
10.91/4.18			%4 = load %1
10.91/4.18			%5 = load %2
10.91/4.18			%6 = icmp eq %4 %5
10.91/4.18			br %6, %7, %10
10.91/4.18		7:
10.91/4.18			%8 = load %1
10.91/4.18			%9 = icmp sgt %8 0
10.91/4.18			br %10
10.91/4.18		10:
10.91/4.18			%11 = phi [0, %3], [%9, %7]
10.91/4.18			br %11, %12, %24
10.91/4.18		12:
10.91/4.18			br %13
10.91/4.18		13:
10.91/4.18			%14 = load %2
10.91/4.18			%15 = icmp sgt %14 0
10.91/4.18			br %15, %16, %23
10.91/4.18		16:
10.91/4.18			%17 = load %1
10.91/4.18			%18 = sub %17 1
10.91/4.18			store %18, %1
10.91/4.18			%19 = load %2
10.91/4.18			%20 = sub %19 1
10.91/4.18			store %20, %2
10.91/4.18			%21 = load %c
10.91/4.18			%22 = add %21 1
10.91/4.18			store %22, %c
10.91/4.18			br %13
10.91/4.18		23:
10.91/4.18			br %3
10.91/4.18		24:
10.91/4.18			%25 = load %c
10.91/4.18			ret %25
10.91/4.18	
10.91/4.18	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
10.91/4.18		0:
10.91/4.18			%1 = alloca i32, align 4
10.91/4.18			store 0, %1
10.91/4.18			%2 = call i32 @__VERIFIER_nondet_int()
10.91/4.18			%3 = call i32 @__VERIFIER_nondet_int()
10.91/4.18			%4 = call i32 @test_fun(i32 %2, i32 %3)
10.91/4.18			ret %4
10.91/4.18	
10.91/4.18	
10.91/4.18	Analyze Termination of all function calls matching the pattern:
10.91/4.18	main()
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(3) LLVMToTerminationGraphProof (EQUIVALENT)
10.91/4.18	Constructed symbolic execution graph for LLVM program and proved memory safety.
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(4)
10.91/4.18	Obligation:
10.91/4.18	SE Graph
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(5) SymbolicExecutionGraphToSCCProof (SOUND)
10.91/4.18	Splitted symbolic execution graph to 1 SCC.
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(6)
10.91/4.18	Obligation:
10.91/4.18	SCC
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(7) SCC2IRS (SOUND)
10.91/4.18	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
10.91/4.18	Generated rules. Obtained 15 rulesP rules:
10.91/4.18	f_305(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 4) -> f_306(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: 0 < v134 && 2 <= v133 && 2 <= v128
10.91/4.18	f_306(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_308(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: 0 = 0
10.91/4.18	f_308(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_310(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: TRUE
10.91/4.18	f_310(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_312(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: 0 = 0
10.91/4.18	f_312(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_314(v128, v129, v130, v131, 1, v134, v143, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: 1 + v143 = v134 && 0 <= v143
10.91/4.18	f_314(v128, v129, v130, v131, 1, v134, v143, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_316(v128, v129, v130, v131, 1, v134, v143, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: TRUE
10.91/4.18	f_316(v128, v129, v130, v131, 1, v134, v143, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_318(v128, v129, v130, v131, 1, v134, v143, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: 0 = 0
10.91/4.18	f_318(v128, v129, v130, v131, 1, v134, v143, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_320(v128, v129, v130, v131, 1, v134, v143, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: 1 + v143 = v134
10.91/4.18	f_320(v128, v129, v130, v131, 1, v134, v143, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_322(v128, v129, v130, v131, 1, v134, v143, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: TRUE
10.91/4.18	f_322(v128, v129, v130, v131, 1, v134, v143, v135, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_324(v128, v129, v130, v131, 1, v134, v143, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: 0 = 0
10.91/4.18	f_324(v128, v129, v130, v131, 1, v134, v143, v136, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_326(v128, v129, v130, v131, 1, v134, v143, v136, v146, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: v146 = 1 + v136 && 2 <= v146
10.91/4.18	f_326(v128, v129, v130, v131, 1, v134, v143, v136, v146, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_328(v128, v129, v130, v131, 1, v134, v143, v136, v146, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: TRUE
10.91/4.18	f_328(v128, v129, v130, v131, 1, v134, v143, v136, v146, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_330(v128, v129, v130, v131, 1, v134, v143, v136, v146, v137, v138, v139, v140, v141, 0, 3, 2, 4) :|: TRUE
10.91/4.18	f_330(v128, v129, v130, v131, 1, v134, v143, v136, v146, v137, v138, v139, v140, v141, 0, 3, 2, 4) -> f_304(v128, v129, v130, v131, 1, v134, v143, v136, v146, v137, v138, v139, v140, v141, 0, 3, 4) :|: TRUE
10.91/4.18	f_304(v128, v129, v130, v131, 1, v133, v134, v135, v136, v137, v138, v139, v140, v141, 0, 3, 4) -> f_305(v128, v129, v130, v131, 1, v134, v133, v135, v136, v137, v138, v139, v140, v141, 0, 3, 4) :|: 0 = 0
10.91/4.18	Combined rules. Obtained 1 rulesP rules:
10.91/4.18	f_305(v128:0, v129:0, v130:0, v131:0, 1, 1 + v143:0, v133:0, v135:0, v136:0, v137:0, v138:0, v139:0, v140:0, v141:0, 0, 3, 4) -> f_305(v128:0, v129:0, v130:0, v131:0, 1, v143:0, 1 + v143:0, v136:0, 1 + v136:0, v137:0, v138:0, v139:0, v140:0, v141:0, 0, 3, 4) :|: v133:0 > 1 && v143:0 > -1 && v128:0 > 1 && v136:0 > 0
10.91/4.18	Filtered unneeded arguments:
10.91/4.18	   f_305(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_305(x1, x6, x7, x9)
10.91/4.18	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
10.91/4.18	f_305(v128:0, sum~cons_1~v143:0, v133:0, v136:0) -> f_305(v128:0, v143:0, 1 + v143:0, 1 + v136:0) :|: v143:0 > -1 && v133:0 > 1 && v136:0 > 0 && v128:0 > 1 && sum~cons_1~v143:0 = 1 + v143:0
10.91/4.18	
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(8)
10.91/4.18	Obligation:
10.91/4.18	Rules:
10.91/4.18	f_305(v128:0, sum~cons_1~v143:0, v133:0, v136:0) -> f_305(v128:0, v143:0, 1 + v143:0, 1 + v136:0) :|: v143:0 > -1 && v133:0 > 1 && v136:0 > 0 && v128:0 > 1 && sum~cons_1~v143:0 = 1 + v143:0
10.91/4.18	
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(9) IntTRSCompressionProof (EQUIVALENT)
10.91/4.18	Compressed rules.
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(10)
10.91/4.18	Obligation:
10.91/4.18	Rules:
10.91/4.18	f_305(v128:0:0, sum~cons_1~v143:0:0, v133:0:0, v136:0:0) -> f_305(v128:0:0, v143:0:0, 1 + v143:0:0, 1 + v136:0:0) :|: v136:0:0 > 0 && v128:0:0 > 1 && v133:0:0 > 1 && v143:0:0 > -1 && sum~cons_1~v143:0:0 = 1 + v143:0:0
10.91/4.18	
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(11) PolynomialOrderProcessor (EQUIVALENT)
10.91/4.18	Found the following polynomial interpretation:
10.91/4.18	[f_305(x, x1, x2, x3)] = x1
10.91/4.18	
10.91/4.18	The following rules are decreasing:
10.91/4.18	f_305(v128:0:0, sum~cons_1~v143:0:0, v133:0:0, v136:0:0) -> f_305(v128:0:0, v143:0:0, 1 + v143:0:0, 1 + v136:0:0) :|: v136:0:0 > 0 && v128:0:0 > 1 && v133:0:0 > 1 && v143:0:0 > -1 && sum~cons_1~v143:0:0 = 1 + v143:0:0
10.91/4.18	The following rules are bounded:
10.91/4.18	f_305(v128:0:0, sum~cons_1~v143:0:0, v133:0:0, v136:0:0) -> f_305(v128:0:0, v143:0:0, 1 + v143:0:0, 1 + v136:0:0) :|: v136:0:0 > 0 && v128:0:0 > 1 && v133:0:0 > 1 && v143:0:0 > -1 && sum~cons_1~v143:0:0 = 1 + v143:0:0
10.91/4.18	
10.91/4.18	----------------------------------------
10.91/4.18	
10.91/4.18	(12)
10.91/4.18	YES
11.02/4.21	EOF