9.42/3.59	YES
9.42/3.60	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
9.42/3.60	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.42/3.60	
9.42/3.60	
9.42/3.60	Termination of the given C Problem could be proven:
9.42/3.60	
9.42/3.60	(0) C Problem
9.42/3.60	(1) CToLLVMProof [EQUIVALENT, 169 ms]
9.42/3.60	(2) LLVM problem
9.42/3.60	(3) LLVMToTerminationGraphProof [EQUIVALENT, 487 ms]
9.42/3.60	(4) LLVM Symbolic Execution Graph
9.42/3.60	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
9.42/3.60	(6) LLVM Symbolic Execution SCC
9.42/3.60	(7) SCC2IRS [SOUND, 0 ms]
9.42/3.60	(8) IntTRS
9.42/3.60	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
9.42/3.60	(10) IntTRS
9.42/3.60	(11) RankingReductionPairProof [EQUIVALENT, 21 ms]
9.42/3.60	(12) YES
9.42/3.60	
9.42/3.60	
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(0)
9.42/3.60	Obligation:
9.42/3.60	c file /export/starexec/sandbox/benchmark/theBenchmark.c
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(1) CToLLVMProof (EQUIVALENT)
9.42/3.60	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(2)
9.42/3.60	Obligation:
9.42/3.60	LLVM Problem
9.42/3.60	
9.42/3.60	Aliases:
9.42/3.60	
9.42/3.60	Data layout:
9.42/3.60	
9.42/3.60	"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"
9.42/3.60	
9.42/3.60	Machine:
9.42/3.60	
9.42/3.60	"x86_64-pc-linux-gnu"
9.42/3.60	
9.42/3.60	Type definitions:
9.42/3.60	
9.42/3.60	Global variables:
9.42/3.60	
9.42/3.60	Function declarations and definitions:
9.42/3.60	
9.42/3.60	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
9.42/3.60	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
9.42/3.60		0:
9.42/3.60			%1 = alloca i32, align 4
9.42/3.60			%x = alloca i32, align 4
9.42/3.60			%y = alloca i32, align 4
9.42/3.60			store 0, %1
9.42/3.60			%2 = call i32 @__VERIFIER_nondet_int()
9.42/3.60			store %2, %x
9.42/3.60			%3 = call i32 @__VERIFIER_nondet_int()
9.42/3.60			store %3, %y
9.42/3.60			%4 = load %y
9.42/3.60			%5 = icmp slt %4 1
9.42/3.60			br %5, %6, %7
9.42/3.60		6:
9.42/3.60			store 0, %1
9.42/3.60			br %16
9.42/3.60		7:
9.42/3.60			br %8
9.42/3.60		8:
9.42/3.60			%9 = load %x
9.42/3.60			%10 = icmp sge %9 0
9.42/3.60			br %10, %11, %15
9.42/3.60		11:
9.42/3.60			%12 = load %x
9.42/3.60			%13 = load %y
9.42/3.60			%14 = sub %12 %13
9.42/3.60			store %14, %x
9.42/3.60			br %8
9.42/3.60		15:
9.42/3.60			store 0, %1
9.42/3.60			br %16
9.42/3.60		16:
9.42/3.60			%17 = load %1
9.42/3.60			ret %17
9.42/3.60	
9.42/3.60	
9.42/3.60	Analyze Termination of all function calls matching the pattern:
9.42/3.60	main()
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(3) LLVMToTerminationGraphProof (EQUIVALENT)
9.42/3.60	Constructed symbolic execution graph for LLVM program and proved memory safety.
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(4)
9.42/3.60	Obligation:
9.42/3.60	SE Graph
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(5) SymbolicExecutionGraphToSCCProof (SOUND)
9.42/3.60	Splitted symbolic execution graph to 1 SCC.
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(6)
9.42/3.60	Obligation:
9.42/3.60	SCC
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(7) SCC2IRS (SOUND)
9.42/3.60	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
9.42/3.60	Generated rules. Obtained 10 rulesP rules:
9.42/3.60	f_132(v18, v19, v20, v21, v22, 0, v26, 1, v24, v27, v28, v29, 3, 4) -> f_133(v18, v19, v20, v21, v22, 0, v26, 1, v24, v27, v28, v29, 3, 4) :|: 0 <= v26 && 1 <= v24
9.42/3.60	f_133(v18, v19, v20, v21, v22, 0, v26, 1, v24, v27, v28, v29, 3, 4) -> f_135(v18, v19, v20, v21, v22, 0, v26, 1, v24, v27, v28, v29, 3, 4) :|: 0 = 0
9.42/3.60	f_135(v18, v19, v20, v21, v22, 0, v26, 1, v24, v27, v28, v29, 3, 4) -> f_137(v18, v19, v20, v21, v22, 0, v26, 1, v24, v27, v28, v29, 3, 4) :|: TRUE
9.42/3.60	f_137(v18, v19, v20, v21, v22, 0, v26, 1, v24, v27, v28, v29, 3, 4) -> f_139(v18, v19, v20, v21, v22, 0, v26, 1, v27, v28, v29, 3, 4) :|: 0 = 0
9.42/3.60	f_139(v18, v19, v20, v21, v22, 0, v26, 1, v27, v28, v29, 3, 4) -> f_141(v18, v19, v20, v21, v22, 0, v26, 1, v27, v28, v29, 3, 4) :|: 0 = 0
9.42/3.60	f_141(v18, v19, v20, v21, v22, 0, v26, 1, v27, v28, v29, 3, 4) -> f_143(v18, v19, v20, v21, v22, 0, v26, 1, v33, v27, v28, v29, 3, 4) :|: v33 + v22 = v26
9.42/3.60	f_143(v18, v19, v20, v21, v22, 0, v26, 1, v33, v27, v28, v29, 3, 4) -> f_145(v18, v19, v20, v21, v22, 0, v26, 1, v33, v27, v28, v29, 3, 4) :|: TRUE
9.42/3.60	f_145(v18, v19, v20, v21, v22, 0, v26, 1, v33, v27, v28, v29, 3, 4) -> f_146(v18, v19, v20, v21, v22, 0, v26, 1, v33, v27, v28, v29, 3, 4) :|: TRUE
9.42/3.60	f_146(v18, v19, v20, v21, v22, 0, v26, 1, v33, v27, v28, v29, 3, 4) -> f_131(v18, v19, v20, v21, v22, 0, v26, 1, v33, v27, v28, v29, 3, 4) :|: 1 <= v18 && 1 <= v19 && 1 <= v20 && 0 <= v21 && 1 <= v22 && 0 <= v26 && 4 <= v27 && 4 <= v28 && 4 <= v29 && v18 <= v27 && v19 <= v28 && v20 <= v29
9.42/3.60	f_131(v18, v19, v20, v21, v22, 0, v24, 1, v26, v27, v28, v29, 3, 4) -> f_132(v18, v19, v20, v21, v22, 0, v26, 1, v24, v27, v28, v29, 3, 4) :|: 0 = 0
9.42/3.60	Combined rules. Obtained 1 rulesP rules:
9.42/3.60	f_132(v18:0, v19:0, v20:0, v21:0, v22:0, 0, v33:0 + v22:0, 1, v24:0, v27:0, v28:0, v29:0, 3, 4) -> f_132(v18:0, v19:0, v20:0, v21:0, v22:0, 0, v33:0, 1, v33:0 + v22:0, v27:0, v28:0, v29:0, 3, 4) :|: v19:0 > 0 && v18:0 > 0 && v20:0 > 0 && v21:0 > -1 && v22:0 > 0 && v24:0 > 0 && v33:0 + v22:0 > -1 && v27:0 > 3 && v28:0 > 3 && v29:0 > 3 && v27:0 >= v18:0 && v29:0 >= v20:0 && v28:0 >= v19:0
9.42/3.60	Filtered unneeded arguments:
9.42/3.60	   f_132(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> f_132(x1, x2, x3, x4, x5, x7, x9, x10, x11, x12)
9.42/3.60	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
9.42/3.60	f_132(v18:0, v19:0, v20:0, v21:0, v22:0, sum~v33:0~v22:0, v24:0, v27:0, v28:0, v29:0) -> f_132(v18:0, v19:0, v20:0, v21:0, v22:0, v33:0, v33:0 + v22:0, v27:0, v28:0, v29:0) :|: v18:0 > 0 && v19:0 > 0 && v20:0 > 0 && v21:0 > -1 && v22:0 > 0 && v24:0 > 0 && v33:0 + v22:0 > -1 && v27:0 > 3 && v28:0 > 3 && v29:0 > 3 && v27:0 >= v18:0 && v28:0 >= v19:0 && v29:0 >= v20:0 && sum~v33:0~v22:0 = v33:0 + v22:0
9.42/3.60	
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(8)
9.42/3.60	Obligation:
9.42/3.60	Rules:
9.42/3.60	f_132(v18:0, v19:0, v20:0, v21:0, v22:0, sum~v33:0~v22:0, v24:0, v27:0, v28:0, v29:0) -> f_132(v18:0, v19:0, v20:0, v21:0, v22:0, v33:0, v33:0 + v22:0, v27:0, v28:0, v29:0) :|: v18:0 > 0 && v19:0 > 0 && v20:0 > 0 && v21:0 > -1 && v22:0 > 0 && v24:0 > 0 && v33:0 + v22:0 > -1 && v27:0 > 3 && v28:0 > 3 && v29:0 > 3 && v27:0 >= v18:0 && v28:0 >= v19:0 && v29:0 >= v20:0 && sum~v33:0~v22:0 = v33:0 + v22:0
9.42/3.60	
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(9) IntTRSCompressionProof (EQUIVALENT)
9.42/3.60	Compressed rules.
9.42/3.60	----------------------------------------
9.42/3.60	
9.42/3.60	(10)
9.42/3.60	Obligation:
9.42/3.60	Rules:
9.42/3.60	f_132(v18:0:0, v19:0:0, v20:0:0, v21:0:0, v22:0:0, sum~v33:0:0~v22:0:0, v24:0:0, v27:0:0, v28:0:0, v29:0:0) -> f_132(v18:0:0, v19:0:0, v20:0:0, v21:0:0, v22:0:0, v33:0:0, v33:0:0 + v22:0:0, v27:0:0, v28:0:0, v29:0:0) :|: v28:0:0 >= v19:0:0 && v29:0:0 >= v20:0:0 && v27:0:0 >= v18:0:0 && v29:0:0 > 3 && v28:0:0 > 3 && v27:0:0 > 3 && v33:0:0 + v22:0:0 > -1 && v24:0:0 > 0 && v22:0:0 > 0 && v21:0:0 > -1 && v20:0:0 > 0 && v19:0:0 > 0 && v18:0:0 > 0 && sum~v33:0:0~v22:0:0 = v33:0:0 + v22:0:0
9.42/3.61	
9.42/3.61	----------------------------------------
9.42/3.61	
9.42/3.61	(11) RankingReductionPairProof (EQUIVALENT)
9.42/3.61	Interpretation:
9.42/3.61	[ f_132 ] = f_132_6
9.42/3.61	
9.42/3.61	The following rules are decreasing:
9.42/3.61	f_132(v18:0:0, v19:0:0, v20:0:0, v21:0:0, v22:0:0, sum~v33:0:0~v22:0:0, v24:0:0, v27:0:0, v28:0:0, v29:0:0) -> f_132(v18:0:0, v19:0:0, v20:0:0, v21:0:0, v22:0:0, v33:0:0, v33:0:0 + v22:0:0, v27:0:0, v28:0:0, v29:0:0) :|: v28:0:0 >= v19:0:0 && v29:0:0 >= v20:0:0 && v27:0:0 >= v18:0:0 && v29:0:0 > 3 && v28:0:0 > 3 && v27:0:0 > 3 && v33:0:0 + v22:0:0 > -1 && v24:0:0 > 0 && v22:0:0 > 0 && v21:0:0 > -1 && v20:0:0 > 0 && v19:0:0 > 0 && v18:0:0 > 0 && sum~v33:0:0~v22:0:0 = v33:0:0 + v22:0:0
9.42/3.61	
9.42/3.61	The following rules are bounded:
9.42/3.61	f_132(v18:0:0, v19:0:0, v20:0:0, v21:0:0, v22:0:0, sum~v33:0:0~v22:0:0, v24:0:0, v27:0:0, v28:0:0, v29:0:0) -> f_132(v18:0:0, v19:0:0, v20:0:0, v21:0:0, v22:0:0, v33:0:0, v33:0:0 + v22:0:0, v27:0:0, v28:0:0, v29:0:0) :|: v28:0:0 >= v19:0:0 && v29:0:0 >= v20:0:0 && v27:0:0 >= v18:0:0 && v29:0:0 > 3 && v28:0:0 > 3 && v27:0:0 > 3 && v33:0:0 + v22:0:0 > -1 && v24:0:0 > 0 && v22:0:0 > 0 && v21:0:0 > -1 && v20:0:0 > 0 && v19:0:0 > 0 && v18:0:0 > 0 && sum~v33:0:0~v22:0:0 = v33:0:0 + v22:0:0
9.42/3.61	
9.42/3.61	
9.42/3.61	----------------------------------------
9.42/3.61	
9.42/3.61	(12)
9.42/3.61	YES
9.64/3.66	EOF