10.56/4.03	YES
10.56/4.04	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
10.56/4.04	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.56/4.04	
10.56/4.04	
10.56/4.04	Termination of the given C Problem could be proven:
10.56/4.04	
10.56/4.04	(0) C Problem
10.56/4.04	(1) CToLLVMProof [EQUIVALENT, 172 ms]
10.56/4.04	(2) LLVM problem
10.56/4.04	(3) LLVMToTerminationGraphProof [EQUIVALENT, 1593 ms]
10.56/4.04	(4) LLVM Symbolic Execution Graph
10.56/4.04	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
10.56/4.04	(6) LLVM Symbolic Execution SCC
10.56/4.04	(7) SCC2IRS [SOUND, 78 ms]
10.56/4.04	(8) IntTRS
10.56/4.04	(9) IntTRSCompressionProof [EQUIVALENT, 0 ms]
10.56/4.04	(10) IntTRS
10.56/4.04	(11) RankingReductionPairProof [EQUIVALENT, 24 ms]
10.56/4.04	(12) YES
10.56/4.04	
10.56/4.04	
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(0)
10.56/4.04	Obligation:
10.56/4.04	c file /export/starexec/sandbox/benchmark/theBenchmark.c
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(1) CToLLVMProof (EQUIVALENT)
10.56/4.04	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(2)
10.56/4.04	Obligation:
10.56/4.04	LLVM Problem
10.56/4.04	
10.56/4.04	Aliases:
10.56/4.04	
10.56/4.04	Data layout:
10.56/4.04	
10.56/4.04	"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"
10.56/4.04	
10.56/4.04	Machine:
10.56/4.04	
10.56/4.04	"x86_64-pc-linux-gnu"
10.56/4.04	
10.56/4.04	Type definitions:
10.56/4.04	
10.56/4.04	Global variables:
10.56/4.04	
10.56/4.04	Function declarations and definitions:
10.56/4.04	
10.56/4.04	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
10.56/4.04	*BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc
10.56/4.04		0:
10.56/4.04			%1 = alloca i32, align 4
10.56/4.04			%2 = alloca i32, align 4
10.56/4.04			%3 = alloca i32, align 4
10.56/4.04			%c = alloca i32, align 4
10.56/4.04			store %x, %1
10.56/4.04			store %y, %2
10.56/4.04			store %z, %3
10.56/4.04			store 0, %c
10.56/4.04			br %4
10.56/4.04		4:
10.56/4.04			%5 = load %1
10.56/4.04			%6 = load %2
10.56/4.04			%7 = icmp eq %5 %6
10.56/4.04			br %7, %8, %12
10.56/4.04		8:
10.56/4.04			%9 = load %1
10.56/4.04			%10 = load %3
10.56/4.04			%11 = icmp sgt %9 %10
10.56/4.04			br %12
10.56/4.04		12:
10.56/4.04			%13 = phi [0, %4], [%11, %8]
10.56/4.04			br %13, %14, %27
10.56/4.04		14:
10.56/4.04			br %15
10.56/4.04		15:
10.56/4.04			%16 = load %2
10.56/4.04			%17 = load %3
10.56/4.04			%18 = icmp sgt %16 %17
10.56/4.04			br %18, %19, %26
10.56/4.04		19:
10.56/4.04			%20 = load %1
10.56/4.04			%21 = sub %20 1
10.56/4.04			store %21, %1
10.56/4.04			%22 = load %2
10.56/4.04			%23 = sub %22 1
10.56/4.04			store %23, %2
10.56/4.04			%24 = load %c
10.56/4.04			%25 = add %24 1
10.56/4.04			store %25, %c
10.56/4.04			br %15
10.56/4.04		26:
10.56/4.04			br %4
10.56/4.04		27:
10.56/4.04			%28 = load %c
10.56/4.04			ret %28
10.56/4.04	
10.56/4.04	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
10.56/4.04		0:
10.56/4.04			%1 = alloca i32, align 4
10.56/4.04			store 0, %1
10.56/4.04			%2 = call i32 @__VERIFIER_nondet_int()
10.56/4.04			%3 = call i32 @__VERIFIER_nondet_int()
10.56/4.04			%4 = call i32 @__VERIFIER_nondet_int()
10.56/4.04			%5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4)
10.56/4.04			ret %5
10.56/4.04	
10.56/4.04	
10.56/4.04	Analyze Termination of all function calls matching the pattern:
10.56/4.04	main()
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(3) LLVMToTerminationGraphProof (EQUIVALENT)
10.56/4.04	Constructed symbolic execution graph for LLVM program and proved memory safety.
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(4)
10.56/4.04	Obligation:
10.56/4.04	SE Graph
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(5) SymbolicExecutionGraphToSCCProof (SOUND)
10.56/4.04	Splitted symbolic execution graph to 1 SCC.
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(6)
10.56/4.04	Obligation:
10.56/4.04	SCC
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(7) SCC2IRS (SOUND)
10.56/4.04	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
10.56/4.04	Generated rules. Obtained 16 rulesP rules:
10.56/4.04	f_330(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_331(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: 0 = 0
10.56/4.04	f_331(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_332(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: v196 < v203
10.56/4.04	f_332(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_334(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: 0 = 0
10.56/4.04	f_334(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_336(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: TRUE
10.56/4.04	f_336(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_338(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: 0 = 0
10.56/4.04	f_338(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_340(v195, v196, v197, v198, v199, v200, 1, v203, v213, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: 1 + v213 = v203
10.56/4.04	f_340(v195, v196, v197, v198, v199, v200, 1, v203, v213, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_342(v195, v196, v197, v198, v199, v200, 1, v203, v213, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: TRUE
10.56/4.04	f_342(v195, v196, v197, v198, v199, v200, 1, v203, v213, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_344(v195, v196, v197, v198, v199, v200, 1, v203, v213, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: 0 = 0
10.56/4.04	f_344(v195, v196, v197, v198, v199, v200, 1, v203, v213, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_346(v195, v196, v197, v198, v199, v200, 1, v203, v213, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: 1 + v213 = v203
10.56/4.04	f_346(v195, v196, v197, v198, v199, v200, 1, v203, v213, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_348(v195, v196, v197, v198, v199, v200, 1, v203, v213, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: TRUE
10.56/4.04	f_348(v195, v196, v197, v198, v199, v200, 1, v203, v213, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_350(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: 0 = 0
10.56/4.04	f_350(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_352(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v216, v206, v207, v208, v209, v210, v211, 0, 3, 4, 2) :|: v216 = 1 + v205 && 2 <= v216
10.56/4.04	f_352(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v216, v206, v207, v208, v209, v210, v211, 0, 3, 4, 2) -> f_354(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v216, v206, v207, v208, v209, v210, v211, 0, 3, 4, 2) :|: TRUE
10.56/4.04	f_354(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v216, v206, v207, v208, v209, v210, v211, 0, 3, 4, 2) -> f_356(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v216, v206, v207, v208, v209, v210, v211, 0, 3, 4, 2) :|: TRUE
10.56/4.04	f_356(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v216, v206, v207, v208, v209, v210, v211, 0, 3, 4, 2) -> f_329(v195, v196, v197, v198, v199, v200, 1, v203, v213, v205, v216, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: TRUE
10.56/4.04	f_329(v195, v196, v197, v198, v199, v200, 1, v202, v203, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) -> f_330(v195, v196, v197, v198, v199, v200, 1, v203, v202, v204, v205, v206, v207, v208, v209, v210, v211, 0, 3, 4) :|: 0 = 0
10.56/4.04	Combined rules. Obtained 1 rulesP rules:
10.56/4.04	f_330(v195:0, v196:0, v197:0, v198:0, v199:0, v200:0, 1, 1 + v213:0, v202:0, v204:0, v205:0, v206:0, v207:0, v208:0, v209:0, v210:0, v211:0, 0, 3, 4) -> f_330(v195:0, v196:0, v197:0, v198:0, v199:0, v200:0, 1, v213:0, 1 + v213:0, v205:0, 1 + v205:0, v206:0, v207:0, v208:0, v209:0, v210:0, v211:0, 0, 3, 4) :|: v205:0 > 0 && v196:0 < 1 + v213:0
10.56/4.04	Filtered unneeded arguments:
10.56/4.04	   f_330(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_330(x2, x8, x11)
10.56/4.04	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
10.56/4.04	f_330(v196:0, sum~cons_1~v213:0, v205:0) -> f_330(v196:0, v213:0, 1 + v205:0) :|: v205:0 > 0 && v196:0 < 1 + v213:0 && sum~cons_1~v213:0 = 1 + v213:0
10.56/4.04	
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(8)
10.56/4.04	Obligation:
10.56/4.04	Rules:
10.56/4.04	f_330(v196:0, sum~cons_1~v213:0, v205:0) -> f_330(v196:0, v213:0, 1 + v205:0) :|: v205:0 > 0 && v196:0 < 1 + v213:0 && sum~cons_1~v213:0 = 1 + v213:0
10.56/4.04	
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(9) IntTRSCompressionProof (EQUIVALENT)
10.56/4.04	Compressed rules.
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(10)
10.56/4.04	Obligation:
10.56/4.04	Rules:
10.56/4.04	f_330(v196:0:0, sum~cons_1~v213:0:0, v205:0:0) -> f_330(v196:0:0, v213:0:0, 1 + v205:0:0) :|: v205:0:0 > 0 && v196:0:0 < 1 + v213:0:0 && sum~cons_1~v213:0:0 = 1 + v213:0:0
10.56/4.04	
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(11) RankingReductionPairProof (EQUIVALENT)
10.56/4.04	Interpretation:
10.56/4.04	[ f_330 ] = -1*f_330_1 + f_330_2
10.56/4.04	
10.56/4.04	The following rules are decreasing:
10.56/4.04	f_330(v196:0:0, sum~cons_1~v213:0:0, v205:0:0) -> f_330(v196:0:0, v213:0:0, 1 + v205:0:0) :|: v205:0:0 > 0 && v196:0:0 < 1 + v213:0:0 && sum~cons_1~v213:0:0 = 1 + v213:0:0
10.56/4.04	
10.56/4.04	The following rules are bounded:
10.56/4.04	f_330(v196:0:0, sum~cons_1~v213:0:0, v205:0:0) -> f_330(v196:0:0, v213:0:0, 1 + v205:0:0) :|: v205:0:0 > 0 && v196:0:0 < 1 + v213:0:0 && sum~cons_1~v213:0:0 = 1 + v213:0:0
10.56/4.04	
10.56/4.04	
10.56/4.04	----------------------------------------
10.56/4.04	
10.56/4.04	(12)
10.56/4.04	YES
10.56/4.06	EOF