11.82/3.97	YES
11.82/3.98	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
11.82/3.98	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.82/3.98	
11.82/3.98	
11.82/3.98	Termination of the given C Problem could be proven:
11.82/3.98	
11.82/3.98	(0) C Problem
11.82/3.98	(1) CToLLVMProof [EQUIVALENT, 174 ms]
11.82/3.98	(2) LLVM problem
11.82/3.98	(3) LLVMToTerminationGraphProof [EQUIVALENT, 893 ms]
11.82/3.98	(4) LLVM Symbolic Execution Graph
11.82/3.98	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
11.82/3.98	(6) LLVM Symbolic Execution SCC
11.82/3.98	(7) SCC2IRS [SOUND, 20 ms]
11.82/3.98	(8) IntTRS
11.82/3.98	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
11.82/3.98	(10) IntTRS
11.82/3.98	(11) PolynomialOrderProcessor [EQUIVALENT, 6 ms]
11.82/3.98	(12) YES
11.82/3.98	
11.82/3.98	
11.82/3.98	----------------------------------------
11.82/3.98	
11.82/3.98	(0)
11.82/3.98	Obligation:
11.82/3.98	c file /export/starexec/sandbox/benchmark/theBenchmark.c
11.82/3.98	----------------------------------------
11.82/3.98	
11.82/3.98	(1) CToLLVMProof (EQUIVALENT)
11.82/3.98	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
11.82/3.98	----------------------------------------
11.82/3.98	
11.82/3.98	(2)
11.82/3.98	Obligation:
11.82/3.98	LLVM Problem
11.82/3.98	
11.82/3.98	Aliases:
11.82/3.98	
11.82/3.98	Data layout:
11.82/3.98	
11.82/3.98	"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"
11.82/3.98	
11.82/3.98	Machine:
11.82/3.98	
11.82/3.98	"x86_64-pc-linux-gnu"
11.82/3.98	
11.82/3.98	Type definitions:
11.82/3.98	
11.82/3.98	Global variables:
11.82/3.98	
11.82/3.98	Function declarations and definitions:
11.82/3.98	
11.82/3.98	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
11.82/3.98	*BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
11.82/3.98		0:
11.82/3.98			%1 = alloca i32, align 4
11.82/3.98			%2 = alloca i32, align 4
11.82/3.98			%3 = alloca i32, align 4
11.82/3.98			store %x, %2
11.82/3.98			store %y, %3
11.82/3.98			%4 = load %2
11.82/3.98			%5 = icmp sle %4 0
11.82/3.98			br %5, %6, %8
11.82/3.98		6:
11.82/3.98			%7 = load %3
11.82/3.98			store %7, %1
11.82/3.98			br %24
11.82/3.98		8:
11.82/3.98			br %9
11.82/3.98		9:
11.82/3.98			%10 = load %2
11.82/3.98			%11 = load %3
11.82/3.98			%12 = icmp sgt %10 %11
11.82/3.98			br %12, %13, %22
11.82/3.98		13:
11.82/3.98			%14 = load %2
11.82/3.98			%15 = icmp sle %14 0
11.82/3.98			br %15, %16, %18
11.82/3.98		16:
11.82/3.98			%17 = load %3
11.82/3.98			store %17, %1
11.82/3.98			br %24
11.82/3.98		18:
11.82/3.98			%19 = load %3
11.82/3.98			%20 = load %2
11.82/3.98			%21 = add %19 %20
11.82/3.98			store %21, %3
11.82/3.98			br %9
11.82/3.98		22:
11.82/3.98			%23 = load %3
11.82/3.98			store %23, %1
11.82/3.98			br %24
11.82/3.98		24:
11.82/3.98			%25 = load %1
11.82/3.98			ret %25
11.82/3.98	
11.82/3.98	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
11.82/3.98		0:
11.82/3.98			%1 = alloca i32, align 4
11.82/3.98			store 0, %1
11.82/3.98			%2 = call i32 @__VERIFIER_nondet_int()
11.82/3.98			%3 = call i32 @__VERIFIER_nondet_int()
11.82/3.98			%4 = call i32 @test_fun(i32 %2, i32 %3)
11.82/3.98			ret %4
11.82/3.98	
11.82/3.98	
11.82/3.98	Analyze Termination of all function calls matching the pattern:
11.82/3.98	main()
11.82/3.98	----------------------------------------
11.82/3.98	
11.82/3.98	(3) LLVMToTerminationGraphProof (EQUIVALENT)
11.82/3.98	Constructed symbolic execution graph for LLVM program and proved memory safety.
11.82/3.98	----------------------------------------
11.82/3.98	
11.82/3.98	(4)
11.82/3.98	Obligation:
11.82/3.98	SE Graph
11.82/3.98	----------------------------------------
11.82/3.98	
11.82/3.98	(5) SymbolicExecutionGraphToSCCProof (SOUND)
11.82/3.98	Splitted symbolic execution graph to 1 SCC.
11.82/3.98	----------------------------------------
11.82/3.98	
11.82/3.98	(6)
11.82/3.98	Obligation:
11.82/3.98	SCC
11.82/3.98	----------------------------------------
11.82/3.98	
11.82/3.98	(7) SCC2IRS (SOUND)
11.82/3.98	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
11.82/3.98	Generated rules. Obtained 14 rulesP rules:
11.82/3.98	f_207(v39, v40, v41, v42, v43, 0, v45, 1, v47, v48, v49, v50, v51, v52, 3, 4) -> f_208(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) :|: 0 = 0
11.82/3.98	f_208(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) -> f_209(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) :|: v47 < v39 && 1 + v45 <= 0
11.82/3.98	f_209(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) -> f_211(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) :|: 0 = 0
11.82/3.98	f_211(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) -> f_213(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) :|: TRUE
11.82/3.98	f_213(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) -> f_215(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) :|: 0 = 0
11.82/3.98	f_215(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) -> f_217(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) :|: 0 = 0
11.82/3.98	f_217(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) -> f_219(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) :|: TRUE
11.82/3.98	f_219(v39, v40, v41, v42, v43, 0, v47, 1, v45, v48, v49, v50, v51, v52, 3, 4) -> f_221(v39, v40, v41, v42, v43, 0, v47, 1, v48, v49, v50, v51, v52, 3, 4) :|: 0 = 0
11.82/3.98	f_221(v39, v40, v41, v42, v43, 0, v47, 1, v48, v49, v50, v51, v52, 3, 4) -> f_223(v39, v40, v41, v42, v43, 0, v47, 1, v48, v49, v50, v51, v52, 3, 4) :|: 0 = 0
11.82/3.98	f_223(v39, v40, v41, v42, v43, 0, v47, 1, v48, v49, v50, v51, v52, 3, 4) -> f_225(v39, v40, v41, v42, v43, 0, v47, 1, v55, v48, v49, v50, v51, v52, 3, 4) :|: v55 = v47 + v39
11.82/3.98	f_225(v39, v40, v41, v42, v43, 0, v47, 1, v55, v48, v49, v50, v51, v52, 3, 4) -> f_226(v39, v40, v41, v42, v43, 0, v47, 1, v55, v48, v49, v50, v51, v52, 3, 4) :|: TRUE
11.82/3.98	f_226(v39, v40, v41, v42, v43, 0, v47, 1, v55, v48, v49, v50, v51, v52, 3, 4) -> f_227(v39, v40, v41, v42, v43, 0, v47, 1, v55, v48, v49, v50, v51, v52, 3, 4) :|: TRUE
11.82/3.99	f_227(v39, v40, v41, v42, v43, 0, v47, 1, v55, v48, v49, v50, v51, v52, 3, 4) -> f_206(v39, v40, v41, v42, v43, 0, v47, 1, v55, v48, v49, v50, v51, v52, 3, 4) :|: v40 < v39 && 1 <= v39 && 1 <= v41 && 1 <= v42 && 1 <= v43 && 1 <= v48 && 4 <= v49 && 4 <= v50 && 4 <= v51 && 4 <= v52 && v48 <= v49 && v41 <= v50 && v42 <= v51 && v43 <= v52
11.82/3.99	f_206(v39, v40, v41, v42, v43, 0, v45, 1, v47, v48, v49, v50, v51, v52, 3, 4) -> f_207(v39, v40, v41, v42, v43, 0, v45, 1, v47, v48, v49, v50, v51, v52, 3, 4) :|: 0 = 0
11.82/3.99	Combined rules. Obtained 1 rulesP rules:
11.82/3.99	f_207(v39:0, v40:0, v41:0, v42:0, v43:0, 0, v45:0, 1, v47:0, v48:0, v49:0, v50:0, v51:0, v52:0, 3, 4) -> f_207(v39:0, v40:0, v41:0, v42:0, v43:0, 0, v47:0, 1, v47:0 + v39:0, v48:0, v49:0, v50:0, v51:0, v52:0, 3, 4) :|: v39:0 > 0 && v40:0 < v39:0 && v41:0 > 0 && v45:0 < 0 && v47:0 < v39:0 && v42:0 > 0 && v43:0 > 0 && v48:0 > 0 && v49:0 > 3 && v50:0 > 3 && v51:0 > 3 && v52:0 > 3 && v49:0 >= v48:0 && v50:0 >= v41:0 && v52:0 >= v43:0 && v51:0 >= v42:0
11.82/3.99	Filtered unneeded arguments:
11.82/3.99	   f_207(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_207(x1, x2, x3, x4, x5, x7, x9, x10, x11, x12, x13, x14)
11.82/3.99	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
11.82/3.99	f_207(v39:0, v40:0, v41:0, v42:0, v43:0, v45:0, v47:0, v48:0, v49:0, v50:0, v51:0, v52:0) -> f_207(v39:0, v40:0, v41:0, v42:0, v43:0, v47:0, v47:0 + v39:0, v48:0, v49:0, v50:0, v51:0, v52:0) :|: v40:0 < v39:0 && v39:0 > 0 && v41:0 > 0 && v45:0 < 0 && v47:0 < v39:0 && v42:0 > 0 && v43:0 > 0 && v48:0 > 0 && v49:0 > 3 && v50:0 > 3 && v51:0 > 3 && v52:0 > 3 && v49:0 >= v48:0 && v50:0 >= v41:0 && v51:0 >= v42:0 && v52:0 >= v43:0
11.82/3.99	
11.82/3.99	----------------------------------------
11.82/3.99	
11.82/3.99	(8)
11.82/3.99	Obligation:
11.82/3.99	Rules:
11.82/3.99	f_207(v39:0, v40:0, v41:0, v42:0, v43:0, v45:0, v47:0, v48:0, v49:0, v50:0, v51:0, v52:0) -> f_207(v39:0, v40:0, v41:0, v42:0, v43:0, v47:0, v47:0 + v39:0, v48:0, v49:0, v50:0, v51:0, v52:0) :|: v40:0 < v39:0 && v39:0 > 0 && v41:0 > 0 && v45:0 < 0 && v47:0 < v39:0 && v42:0 > 0 && v43:0 > 0 && v48:0 > 0 && v49:0 > 3 && v50:0 > 3 && v51:0 > 3 && v52:0 > 3 && v49:0 >= v48:0 && v50:0 >= v41:0 && v51:0 >= v42:0 && v52:0 >= v43:0
11.82/3.99	
11.82/3.99	----------------------------------------
11.82/3.99	
11.82/3.99	(9) IntTRSCompressionProof (EQUIVALENT)
11.82/3.99	Compressed rules.
11.82/3.99	----------------------------------------
11.82/3.99	
11.82/3.99	(10)
11.82/3.99	Obligation:
11.82/3.99	Rules:
11.82/3.99	f_207(v39:0:0, v40:0:0, v41:0:0, v42:0:0, v43:0:0, v45:0:0, v47:0:0, v48:0:0, v49:0:0, v50:0:0, v51:0:0, v52:0:0) -> f_207(v39:0:0, v40:0:0, v41:0:0, v42:0:0, v43:0:0, v47:0:0, v47:0:0 + v39:0:0, v48:0:0, v49:0:0, v50:0:0, v51:0:0, v52:0:0) :|: v51:0:0 >= v42:0:0 && v52:0:0 >= v43:0:0 && v50:0:0 >= v41:0:0 && v49:0:0 >= v48:0:0 && v52:0:0 > 3 && v51:0:0 > 3 && v50:0:0 > 3 && v49:0:0 > 3 && v48:0:0 > 0 && v43:0:0 > 0 && v42:0:0 > 0 && v47:0:0 < v39:0:0 && v45:0:0 < 0 && v41:0:0 > 0 && v39:0:0 > 0 && v40:0:0 < v39:0:0
11.82/3.99	
11.82/3.99	----------------------------------------
11.82/3.99	
11.82/3.99	(11) PolynomialOrderProcessor (EQUIVALENT)
11.82/3.99	Found the following polynomial interpretation:
11.82/3.99	[f_207(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)] = x - x6
11.82/3.99	
11.82/3.99	The following rules are decreasing:
11.82/3.99	f_207(v39:0:0, v40:0:0, v41:0:0, v42:0:0, v43:0:0, v45:0:0, v47:0:0, v48:0:0, v49:0:0, v50:0:0, v51:0:0, v52:0:0) -> f_207(v39:0:0, v40:0:0, v41:0:0, v42:0:0, v43:0:0, v47:0:0, v47:0:0 + v39:0:0, v48:0:0, v49:0:0, v50:0:0, v51:0:0, v52:0:0) :|: v51:0:0 >= v42:0:0 && v52:0:0 >= v43:0:0 && v50:0:0 >= v41:0:0 && v49:0:0 >= v48:0:0 && v52:0:0 > 3 && v51:0:0 > 3 && v50:0:0 > 3 && v49:0:0 > 3 && v48:0:0 > 0 && v43:0:0 > 0 && v42:0:0 > 0 && v47:0:0 < v39:0:0 && v45:0:0 < 0 && v41:0:0 > 0 && v39:0:0 > 0 && v40:0:0 < v39:0:0
11.82/3.99	The following rules are bounded:
11.82/3.99	f_207(v39:0:0, v40:0:0, v41:0:0, v42:0:0, v43:0:0, v45:0:0, v47:0:0, v48:0:0, v49:0:0, v50:0:0, v51:0:0, v52:0:0) -> f_207(v39:0:0, v40:0:0, v41:0:0, v42:0:0, v43:0:0, v47:0:0, v47:0:0 + v39:0:0, v48:0:0, v49:0:0, v50:0:0, v51:0:0, v52:0:0) :|: v51:0:0 >= v42:0:0 && v52:0:0 >= v43:0:0 && v50:0:0 >= v41:0:0 && v49:0:0 >= v48:0:0 && v52:0:0 > 3 && v51:0:0 > 3 && v50:0:0 > 3 && v49:0:0 > 3 && v48:0:0 > 0 && v43:0:0 > 0 && v42:0:0 > 0 && v47:0:0 < v39:0:0 && v45:0:0 < 0 && v41:0:0 > 0 && v39:0:0 > 0 && v40:0:0 < v39:0:0
11.82/3.99	
11.82/3.99	----------------------------------------
11.82/3.99	
11.82/3.99	(12)
11.82/3.99	YES
11.82/4.02	EOF