16.74/5.48	YES
16.74/5.49	proof of /export/starexec/sandbox/benchmark/theBenchmark.c
16.74/5.49	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.74/5.49	
16.74/5.49	
16.74/5.49	Termination of the given C Problem could be proven:
16.74/5.49	
16.74/5.49	(0) C Problem
16.74/5.49	(1) CToLLVMProof [EQUIVALENT, 175 ms]
16.74/5.49	(2) LLVM problem
16.74/5.49	(3) LLVMToTerminationGraphProof [EQUIVALENT, 1586 ms]
16.74/5.49	(4) LLVM Symbolic Execution Graph
16.74/5.49	(5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms]
16.74/5.49	(6) LLVM Symbolic Execution SCC
16.74/5.49	(7) SCC2IRS [SOUND, 56 ms]
16.74/5.49	(8) IntTRS
16.74/5.49	(9) IRS2T2 [EQUIVALENT, 0 ms]
16.74/5.49	(10) T2IntSys
16.74/5.49	(11) T2 [EQUIVALENT, 1423 ms]
16.74/5.49	(12) YES
16.74/5.49	
16.74/5.49	
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(0)
16.74/5.49	Obligation:
16.74/5.49	c file /export/starexec/sandbox/benchmark/theBenchmark.c
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(1) CToLLVMProof (EQUIVALENT)
16.74/5.49	Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM.
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(2)
16.74/5.49	Obligation:
16.74/5.49	LLVM Problem
16.74/5.49	
16.74/5.49	Aliases:
16.74/5.49	
16.74/5.49	Data layout:
16.74/5.49	
16.74/5.49	"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"
16.74/5.49	
16.74/5.49	Machine:
16.74/5.49	
16.74/5.49	"x86_64-pc-linux-gnu"
16.74/5.49	
16.74/5.49	Type definitions:
16.74/5.49	
16.74/5.49	Global variables:
16.74/5.49	
16.74/5.49	Function declarations and definitions:
16.74/5.49	
16.74/5.49	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc
16.74/5.49	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.74/5.49		0:
16.74/5.49			%1 = alloca i32, align 4
16.74/5.49			%x = alloca i32, align 4
16.74/5.49			%y = alloca i32, align 4
16.74/5.49			%z = alloca i32, align 4
16.74/5.49			store 0, %1
16.74/5.49			%2 = call i32 (...)* @__VERIFIER_nondet_int()
16.74/5.49			store %2, %x
16.74/5.49			%3 = call i32 (...)* @__VERIFIER_nondet_int()
16.74/5.49			store %3, %y
16.74/5.49			%4 = call i32 (...)* @__VERIFIER_nondet_int()
16.74/5.49			store %4, %z
16.74/5.49			br %5
16.74/5.49		5:
16.74/5.49			%6 = load %x
16.74/5.49			%7 = icmp sgt %6 0
16.74/5.49			br %7, %8, %17
16.74/5.49		8:
16.74/5.49			%9 = load %x
16.74/5.49			%10 = load %y
16.74/5.49			%11 = add %9 %10
16.74/5.49			store %11, %x
16.74/5.49			%12 = load %y
16.74/5.49			%13 = load %z
16.74/5.49			%14 = add %12 %13
16.74/5.49			store %14, %y
16.74/5.49			%15 = load %z
16.74/5.49			%16 = add %15 -1
16.74/5.49			store %16, %z
16.74/5.49			br %5
16.74/5.49		17:
16.74/5.49			ret 0
16.74/5.49	
16.74/5.49	
16.74/5.49	Analyze Termination of all function calls matching the pattern:
16.74/5.49	main()
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(3) LLVMToTerminationGraphProof (EQUIVALENT)
16.74/5.49	Constructed symbolic execution graph for LLVM program and proved memory safety.
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(4)
16.74/5.49	Obligation:
16.74/5.49	SE Graph
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(5) SymbolicExecutionGraphToSCCProof (SOUND)
16.74/5.49	Splitted symbolic execution graph to 1 SCC.
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(6)
16.74/5.49	Obligation:
16.74/5.49	SCC
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(7) SCC2IRS (SOUND)
16.74/5.49	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
16.74/5.49	Generated rules. Obtained 17 rulesP rules:
16.74/5.49	f_159(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_160(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 < v62
16.74/5.49	f_160(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_162(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
16.74/5.49	f_162(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_164(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
16.74/5.49	f_164(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_166(v52, v53, v54, v55, v56, v57, v58, v62, 1, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
16.74/5.49	f_166(v52, v53, v54, v55, v56, v57, v58, v62, 1, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_167(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
16.74/5.49	f_167(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) -> f_168(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) :|: v71 = v62 + v64
16.74/5.49	f_168(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) -> f_169(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
16.74/5.49	f_169(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v61, v63, v65, v66, v67, v68, v69, 0, 3, 4) -> f_170(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v63, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
16.74/5.49	f_170(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v63, v65, v66, v67, v68, v69, 0, 3, 4) -> f_171(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v63, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
16.74/5.49	f_171(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v63, v66, v67, v68, v69, 0, 3, 4) -> f_172(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 4) :|: v73 = v64 + v65
16.74/5.49	f_172(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 4) -> f_173(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
16.74/5.49	f_173(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 4) -> f_174(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
16.74/5.49	f_174(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v66, v67, v68, v69, 0, 3, 4) -> f_175(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) :|: 1 + v75 = v65
16.74/5.49	f_175(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) -> f_176(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
16.74/5.49	f_176(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) -> f_177(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
16.74/5.49	f_177(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) -> f_158(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 4) :|: TRUE
16.74/5.49	f_158(v52, v53, v54, v55, v56, v57, v58, v59, 1, v61, v62, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) -> f_159(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 4) :|: 0 = 0
16.74/5.49	Combined rules. Obtained 1 rulesP rules:
16.74/5.49	f_159(v52:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v62:0, 1, v59:0, v61:0, v63:0, v64:0, 1 + v75:0, v66:0, v67:0, v68:0, v69:0, 0, 3, 4) -> f_159(v52:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v62:0 + v64:0, 1, v62:0, v64:0, 1 + v75:0, v64:0 + (1 + v75:0), v75:0, v66:0, v67:0, v68:0, v69:0, 0, 3, 4) :|: v62:0 > 0
16.74/5.49	Filtered unneeded arguments:
16.74/5.49	   f_159(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_159(x8, x13, x14)
16.74/5.49	Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules:
16.74/5.49	f_159(v62:0, v64:0, sum~cons_1~v75:0) -> f_159(v62:0 + v64:0, v64:0 + (1 + v75:0), v75:0) :|: v62:0 > 0 && sum~cons_1~v75:0 = 1 + v75:0
16.74/5.49	
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(8)
16.74/5.49	Obligation:
16.74/5.49	Rules:
16.74/5.49	f_159(v62:0, v64:0, sum~cons_1~v75:0) -> f_159(v62:0 + v64:0, v64:0 + (1 + v75:0), v75:0) :|: v62:0 > 0 && sum~cons_1~v75:0 = 1 + v75:0
16.74/5.49	
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(9) IRS2T2 (EQUIVALENT)
16.74/5.49	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
16.74/5.49	
16.74/5.49	   (f_159_3,1)
16.74/5.49	
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(10)
16.74/5.49	Obligation:
16.74/5.49	START: 0;
16.74/5.49	
16.74/5.49	FROM: 0;
16.74/5.49	TO: 1;
16.74/5.49	
16.74/5.49	FROM: 1;
16.74/5.49	oldX0 := x0;
16.74/5.49	oldX1 := x1;
16.74/5.49	oldX2 := x2;
16.74/5.49	oldX3 := oldX2 - 1;
16.74/5.49	assume(oldX0 > 0 && oldX2 = 1 + oldX3);
16.74/5.49	x0 := oldX0 + oldX1;
16.74/5.49	x1 := oldX1 + (1 + oldX3);
16.74/5.49	x2 := oldX2 - 1;
16.74/5.49	TO: 1;
16.74/5.49	
16.74/5.49	
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(11) T2 (EQUIVALENT)
16.74/5.49	No proof given by T2
16.74/5.49	----------------------------------------
16.74/5.49	
16.74/5.49	(12)
16.74/5.49	YES
16.93/5.52	EOF