16.08/5.31	YES
16.08/5.32	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
16.08/5.32	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.08/5.32	
16.08/5.32	
16.08/5.32	Termination of the given C Problem could be proven:
16.08/5.32	
16.08/5.32	(0) C Problem
16.08/5.32	(1) CToLLVMProof [EQUIVALENT, 177 ms]
16.08/5.32	(2) LLVM problem
16.08/5.32	(3) LLVMToTerminationGraphProof [EQUIVALENT, 675 ms]
16.08/5.32	(4) LLVM Symbolic Execution Graph
16.08/5.32	(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms]
16.08/5.32	(6) LLVM Symbolic Execution Lasso
16.08/5.32	(7) Lasso2IRS [EQUIVALENT, 88 ms]
16.08/5.32	(8) IntTRS
16.08/5.32	(9) IRS2T2 [EQUIVALENT, 0 ms]
16.08/5.32	(10) T2IntSys
16.08/5.32	(11) T2 [EQUIVALENT, 1463 ms]
16.08/5.32	(12) YES
16.08/5.32	
16.08/5.32	
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(0)
16.08/5.32	Obligation:
16.08/5.32	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(1) CToLLVMProof (EQUIVALENT)
16.08/5.32	Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(2)
16.08/5.32	Obligation:
16.08/5.32	LLVM Problem
16.08/5.32	
16.08/5.32	Aliases:
16.08/5.32	
16.08/5.32	Data layout:
16.08/5.32	
16.08/5.32	"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"
16.08/5.32	
16.08/5.32	Machine:
16.08/5.32	
16.08/5.32	"x86_64-pc-linux-gnu"
16.08/5.32	
16.08/5.32	Type definitions:
16.08/5.32	
16.08/5.32	Global variables:
16.08/5.32	
16.08/5.32	Function declarations and definitions:
16.08/5.32	
16.08/5.32	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.08/5.32	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
16.08/5.32		0:
16.08/5.32			%1 = alloca i32, align 4
16.08/5.32			%x = alloca i32, align 4
16.08/5.32			%y = alloca i32, align 4
16.08/5.32			store 0, %1
16.08/5.32			%2 = call i32 @__VERIFIER_nondet_int()
16.08/5.32			store %2, %x
16.08/5.32			%3 = call i32 @__VERIFIER_nondet_int()
16.08/5.32			store %3, %y
16.08/5.32			%4 = load %y
16.08/5.32			%5 = mul 2 %4
16.08/5.32			%6 = icmp slt %5 1
16.08/5.32			br %6, %7, %8
16.08/5.32		7:
16.08/5.32			store 0, %1
16.08/5.32			br %19
16.08/5.32		8:
16.08/5.32			br %9
16.08/5.32		9:
16.08/5.32			%10 = load %x
16.08/5.32			%11 = icmp sge %10 0
16.08/5.32			br %11, %12, %18
16.08/5.32		12:
16.08/5.32			%13 = load %x
16.08/5.32			%14 = load %y
16.08/5.32			%15 = mul 2 %14
16.08/5.32			%16 = sub %13 %15
16.08/5.32			%17 = add %16 1
16.08/5.32			store %17, %x
16.08/5.32			br %9
16.08/5.32		18:
16.08/5.32			store 0, %1
16.08/5.32			br %19
16.08/5.32		19:
16.08/5.32			%20 = load %1
16.08/5.32			ret %20
16.08/5.32	
16.08/5.32	
16.08/5.32	Analyze Termination of all function calls matching the pattern:
16.08/5.32	main()
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(3) LLVMToTerminationGraphProof (EQUIVALENT)
16.08/5.32	Constructed symbolic execution graph for LLVM program and proved memory safety.
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(4)
16.08/5.32	Obligation:
16.08/5.32	SE Graph
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(5) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
16.08/5.32	Converted SEGraph to 1 independent lasso.
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(6)
16.08/5.32	Obligation:
16.08/5.32	Lasso
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(7) Lasso2IRS (EQUIVALENT)
16.08/5.32	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
16.08/5.32	Generated rules. Obtained 38 rulesP rules:
16.08/5.32	f_146(v21, v22, v23, v24, v25, v26, 0, v31, 1, v28, v30, v32, v33, v34, 3, 2, 4) -> f_147(v21, v22, v23, v24, v25, v26, 0, v31, 1, v28, v30, v32, v33, v34, 3, 2, 4) :|: 0 <= v31 && 0 <= 1 + v30 && 1 <= v28
16.08/5.32	f_147(v21, v22, v23, v24, v25, v26, 0, v31, 1, v28, v30, v32, v33, v34, 3, 2, 4) -> f_149(v21, v22, v23, v24, v25, v26, 0, v31, 1, v28, v30, v32, v33, v34, 3, 2, 4) :|: 0 = 0
16.08/5.32	f_149(v21, v22, v23, v24, v25, v26, 0, v31, 1, v28, v30, v32, v33, v34, 3, 2, 4) -> f_151(v21, v22, v23, v24, v25, v26, 0, v31, 1, v28, v30, v32, v33, v34, 3, 2, 4) :|: TRUE
16.08/5.32	f_151(v21, v22, v23, v24, v25, v26, 0, v31, 1, v28, v30, v32, v33, v34, 3, 2, 4) -> f_153(v21, v22, v23, v24, v25, v26, 0, v31, 1, v30, v32, v33, v34, 3, 2, 4) :|: 0 = 0
16.08/5.32	f_153(v21, v22, v23, v24, v25, v26, 0, v31, 1, v30, v32, v33, v34, 3, 2, 4) -> f_155(v21, v22, v23, v24, v25, v26, 0, v31, 1, v30, v32, v33, v34, 3, 2, 4) :|: 0 = 0
16.08/5.32	f_155(v21, v22, v23, v24, v25, v26, 0, v31, 1, v30, v32, v33, v34, 3, 2, 4) -> f_157(v21, v22, v23, v24, v25, v26, 0, v31, 1, v30, v32, v33, v34, 3, 2, 4) :|: v26 = 2 * v25
16.08/5.32	f_157(v21, v22, v23, v24, v25, v26, 0, v31, 1, v30, v32, v33, v34, 3, 2, 4) -> f_159(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v32, v33, v34, 3, 2, 4) :|: v38 + v26 = v31
16.08/5.32	f_159(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v32, v33, v34, 3, 2, 4) -> f_160(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v39, v32, v33, v34, 3, 2, 4) :|: v39 = 1 + v38
16.08/5.32	f_160(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v39, v32, v33, v34, 3, 2, 4) -> f_161(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v39, v32, v33, v34, 3, 2, 4) :|: TRUE
16.08/5.32	f_161(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v39, v32, v33, v34, 3, 2, 4) -> f_162(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v39, v32, v33, v34, 3, 2, 4) :|: TRUE
16.08/5.32	f_162(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v39, v32, v33, v34, 3, 2, 4) -> f_145(v21, v22, v23, v24, v25, v26, 0, v31, 1, v38, v39, v32, v33, v34, 3, 2, 4) :|: TRUE
16.08/5.32	f_145(v21, v22, v23, v24, v25, v26, 0, v28, 1, v30, v31, v32, v33, v34, 3, 2, 4) -> f_146(v21, v22, v23, v24, v25, v26, 0, v31, 1, v28, v30, v32, v33, v34, 3, 2, 4) :|: 0 = 0
16.08/5.32	f_90 -> f_91(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
16.08/5.32	f_91(v1, v2, 3, 1, 4) -> f_92(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4
16.08/5.32	f_92(v1, v3, v2, v4, 3, 1, 4) -> f_93(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6
16.08/5.32	f_93(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_94(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
16.08/5.32	f_94(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_95(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
16.08/5.32	f_95(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_96(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
16.08/5.32	f_96(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_97(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
16.08/5.32	f_97(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_98(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
16.08/5.32	f_98(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_99(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0
16.08/5.32	f_99(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_100(v1, v3, v5, v7, v9, v11, v2, v4, v6, 0, 3, 2, 1, 4) :|: v11 = 2 * v9
16.08/5.32	f_100(v1, v3, v5, v7, v9, v11, v2, v4, v6, 0, 3, 2, 1, 4) -> f_102(v1, v3, v5, v7, v9, v11, v2, v4, v6, 0, 3, 2, 1, 4) :|: 1 <= v11 && 2 <= v11 && 1 <= v9
16.08/5.32	f_102(v1, v3, v5, v7, v9, v11, v2, v4, v6, 0, 3, 2, 1, 4) -> f_104(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) :|: 0 = 0
16.08/5.32	f_104(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) -> f_106(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) :|: TRUE
16.08/5.32	f_106(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) -> f_108(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) :|: TRUE
16.08/5.32	f_108(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) -> f_110(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) :|: 0 = 0
16.08/5.32	f_110(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) -> f_112(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) :|: 0 <= v7
16.08/5.32	f_112(v1, v3, v5, v7, v9, v11, 0, v2, v4, v6, 3, 2, 1, 4) -> f_114(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) :|: 0 = 0
16.08/5.32	f_114(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) -> f_116(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) :|: TRUE
16.08/5.32	f_116(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) -> f_118(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) :|: 0 = 0
16.08/5.32	f_118(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) -> f_120(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) :|: 0 = 0
16.08/5.32	f_120(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) -> f_122(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) :|: v11 = 2 * v9
16.08/5.32	f_122(v1, v3, v5, v7, v9, v11, 0, 1, v2, v4, v6, 3, 2, 4) -> f_124(v1, v3, v5, v7, v9, v11, 0, 1, v12, v2, v4, v6, 3, 2, 4) :|: v12 + v11 = v7
16.08/5.32	f_124(v1, v3, v5, v7, v9, v11, 0, 1, v12, v2, v4, v6, 3, 2, 4) -> f_125(v1, v3, v5, v7, v9, v11, 0, 1, v12, v13, v2, v4, v6, 3, 2, 4) :|: v13 = 1 + v12
16.08/5.32	f_125(v1, v3, v5, v7, v9, v11, 0, 1, v12, v13, v2, v4, v6, 3, 2, 4) -> f_126(v1, v3, v5, v7, v9, v11, 0, 1, v12, v13, v2, v4, v6, 3, 2, 4) :|: TRUE
16.08/5.32	f_126(v1, v3, v5, v7, v9, v11, 0, 1, v12, v13, v2, v4, v6, 3, 2, 4) -> f_127(v1, v3, v5, v7, v9, v11, 0, 1, v12, v13, v2, v4, v6, 3, 2, 4) :|: TRUE
16.08/5.32	f_127(v1, v3, v5, v7, v9, v11, 0, 1, v12, v13, v2, v4, v6, 3, 2, 4) -> f_145(v1, v3, v5, v7, v9, v11, 0, v7, 1, v12, v13, v2, v4, v6, 3, 2, 4) :|: TRUE
16.08/5.32	Combined rules. Obtained 2 rulesP rules:
16.08/5.32	f_146(v21:0, v22:0, v23:0, v24:0, v25:0, 2 * v25:0, 0, v38:0 + 2 * v25:0, 1, v28:0, v30:0, v32:0, v33:0, v34:0, 3, 2, 4) -> f_146(v21:0, v22:0, v23:0, v24:0, v25:0, 2 * v25:0, 0, 1 + v38:0, 1, v38:0 + 2 * v25:0, v38:0, v32:0, v33:0, v34:0, 3, 2, 4) :|: v30:0 > -2 && v28:0 > 0 && v38:0 + 2 * v25:0 > -1
16.08/5.32	f_90 -> f_146(v1:0, v3:0, v5:0, v12:0 + 2 * v9:0, v9:0, 2 * v9:0, 0, 1 + v12:0, 1, v12:0 + 2 * v9:0, v12:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 2, 4) :|: 2 * v9:0 > 1 && v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v12:0 + 2 * v9:0 > -1 && v9:0 > 0
16.08/5.32	Filtered unneeded arguments:
16.08/5.32	   f_146(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_146(x5, x6, x8, x10, x11)
16.08/5.32	Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
16.08/5.32	f_146(v25:0, times~cons_2~v25:0, sum~v38:0~times~cons_2~v25:0, v28:0, v30:0) -> f_146(v25:0, 2 * v25:0, 1 + v38:0, v38:0 + 2 * v25:0, v38:0) :|: v28:0 > 0 && v38:0 + 2 * v25:0 > -1 && v30:0 > -2 && times~cons_2~v25:0 = 2 * v25:0 && sum~v38:0~times~cons_2~v25:0 = v38:0 + 2 * v25:0
16.08/5.32	f_90 -> f_146(v9:0, 2 * v9:0, 1 + v12:0, v12:0 + 2 * v9:0, v12:0) :|: v12:0 + 2 * v9:0 > -1 && v9:0 > 0 && 2 * v9:0 > 1
16.08/5.32	
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(8)
16.08/5.32	Obligation:
16.08/5.32	Rules:
16.08/5.32	f_146(v25:0, times~cons_2~v25:0, sum~v38:0~times~cons_2~v25:0, v28:0, v30:0) -> f_146(v25:0, 2 * v25:0, 1 + v38:0, v38:0 + 2 * v25:0, v38:0) :|: v28:0 > 0 && v38:0 + 2 * v25:0 > -1 && v30:0 > -2 && times~cons_2~v25:0 = 2 * v25:0 && sum~v38:0~times~cons_2~v25:0 = v38:0 + 2 * v25:0
16.08/5.32	f_90 -> f_146(v9:0, 2 * v9:0, 1 + v12:0, v12:0 + 2 * v9:0, v12:0) :|: v12:0 + 2 * v9:0 > -1 && v9:0 > 0 && 2 * v9:0 > 1
16.08/5.32	Start term: f_90
16.08/5.32	
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(9) IRS2T2 (EQUIVALENT)
16.08/5.32	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
16.08/5.32	
16.08/5.32	   (f_146_5,1)
16.08/5.32	   (f_90_5,2)
16.08/5.32	
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(10)
16.08/5.32	Obligation:
16.08/5.32	START: 2;
16.08/5.32	
16.08/5.32	FROM: 1;
16.08/5.32	oldX0 := x0;
16.08/5.32	oldX1 := x1;
16.08/5.32	oldX2 := x2;
16.08/5.32	oldX3 := x3;
16.08/5.32	oldX4 := x4;
16.08/5.32	oldX5 := nondet();
16.08/5.32	assume(oldX3 > 0 && oldX5 + 2 * oldX0 > -1 && oldX4 > -2 && oldX1 = 2 * oldX0 && oldX2 = oldX5 + 2 * oldX0);
16.08/5.32	x0 := oldX0;
16.08/5.32	x1 := 2 * oldX0;
16.08/5.32	x2 := 1 + oldX5;
16.08/5.32	x3 := oldX5 + 2 * oldX0;
16.08/5.32	x4 := oldX5;
16.08/5.32	TO: 1;
16.08/5.32	
16.08/5.32	FROM: 2;
16.08/5.32	oldX0 := x0;
16.08/5.32	oldX1 := x1;
16.08/5.32	oldX2 := x2;
16.08/5.32	oldX3 := x3;
16.08/5.32	oldX4 := x4;
16.08/5.32	oldX5 := nondet();
16.08/5.32	oldX6 := nondet();
16.08/5.32	assume(oldX6 + 2 * oldX5 > -1 && oldX5 > 0 && 2 * oldX5 > 1);
16.08/5.32	x0 := oldX5;
16.08/5.32	x1 := 2 * oldX5;
16.08/5.32	x2 := 1 + oldX6;
16.08/5.32	x3 := oldX6 + 2 * oldX5;
16.08/5.32	x4 := oldX6;
16.08/5.32	TO: 1;
16.08/5.32	
16.08/5.32	
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(11) T2 (EQUIVALENT)
16.08/5.32	Used the following cutpoint-specific lexicographic rank functions:
16.08/5.32	 * For cutpoint 5, used the following rank functions/bounds (in descending priority order):
16.08/5.32	    - RF x2, bound 0
16.08/5.32	
16.08/5.32	----------------------------------------
16.08/5.32	
16.08/5.32	(12)
16.08/5.32	YES
16.52/5.43	EOF