15.76/5.01	YES
15.90/5.02	proof of /export/starexec/sandbox2/benchmark/theBenchmark.c
15.90/5.02	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
15.90/5.02	
15.90/5.02	
15.90/5.02	Termination of the given C Problem could be proven:
15.90/5.02	
15.90/5.02	(0) C Problem
15.90/5.02	(1) CToLLVMProof [EQUIVALENT, 166 ms]
15.90/5.02	(2) LLVM problem
15.90/5.02	(3) LLVMToTerminationGraphProof [EQUIVALENT, 871 ms]
15.90/5.02	(4) LLVM Symbolic Execution Graph
15.90/5.02	(5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms]
15.90/5.02	(6) LLVM Symbolic Execution Lasso
15.90/5.02	(7) Lasso2IRS [EQUIVALENT, 39 ms]
15.90/5.02	(8) IntTRS
15.90/5.02	(9) IRS2T2 [EQUIVALENT, 0 ms]
15.90/5.02	(10) T2IntSys
15.90/5.02	(11) T2 [EQUIVALENT, 1132 ms]
15.90/5.02	(12) YES
15.90/5.02	
15.90/5.02	
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(0)
15.90/5.02	Obligation:
15.90/5.02	c file /export/starexec/sandbox2/benchmark/theBenchmark.c
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(1) CToLLVMProof (EQUIVALENT)
15.90/5.02	Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM.
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(2)
15.90/5.02	Obligation:
15.90/5.02	LLVM Problem
15.90/5.02	
15.90/5.02	Aliases:
15.90/5.02	
15.90/5.02	Data layout:
15.90/5.02	
15.90/5.02	"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"
15.90/5.02	
15.90/5.02	Machine:
15.90/5.02	
15.90/5.02	"x86_64-pc-linux-gnu"
15.90/5.02	
15.90/5.02	Type definitions:
15.90/5.02	
15.90/5.02	Global variables:
15.90/5.02	
15.90/5.02	Function declarations and definitions:
15.90/5.02	
15.90/5.02	*BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc
15.90/5.02	*BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc
15.90/5.02		0:
15.90/5.02			%1 = alloca i32, align 4
15.90/5.02			%x = alloca i32, align 4
15.90/5.02			%y = alloca i32, align 4
15.90/5.02			store 0, %1
15.90/5.02			%2 = call i32 (...)* @__VERIFIER_nondet_int()
15.90/5.02			store %2, %x
15.90/5.02			%3 = call i32 (...)* @__VERIFIER_nondet_int()
15.90/5.02			store %3, %y
15.90/5.02			br %4
15.90/5.02		4:
15.90/5.02			%5 = load %x
15.90/5.02			%6 = icmp sgt %5 0
15.90/5.02			br %6, %7, %13
15.90/5.02		7:
15.90/5.02			%8 = load %x
15.90/5.02			%9 = load %y
15.90/5.02			%10 = add %8 %9
15.90/5.02			store %10, %x
15.90/5.02			%11 = load %y
15.90/5.02			%12 = add %11 -1
15.90/5.02			store %12, %y
15.90/5.02			br %4
15.90/5.02		13:
15.90/5.02			ret 0
15.90/5.02	
15.90/5.02	
15.90/5.02	Analyze Termination of all function calls matching the pattern:
15.90/5.02	main()
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(3) LLVMToTerminationGraphProof (EQUIVALENT)
15.90/5.02	Constructed symbolic execution graph for LLVM program and proved memory safety.
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(4)
15.90/5.02	Obligation:
15.90/5.02	SE Graph
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(5) SymbolicExecutionGraphToLassoProof (EQUIVALENT)
15.90/5.02	Converted SEGraph to 1 independent lasso.
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(6)
15.90/5.02	Obligation:
15.90/5.02	Lasso
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(7) Lasso2IRS (EQUIVALENT)
15.90/5.02	Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 
15.90/5.02	Generated rules. Obtained 36 rulesP rules:
15.90/5.02	f_123(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) -> f_124(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) :|: 0 < v45
15.90/5.02	f_124(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) -> f_126(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_126(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) -> f_128(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) :|: TRUE
15.90/5.02	f_128(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) -> f_130(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_130(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 4) -> f_131(v37, v38, v39, v40, v41, v45, 1, v46, v44, v47, v48, v49, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_131(v37, v38, v39, v40, v41, v45, 1, v46, v44, v47, v48, v49, 0, 3, 4) -> f_132(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 4) :|: v51 = v45 + v46
15.90/5.02	f_132(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 4) -> f_133(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 4) :|: TRUE
15.90/5.02	f_133(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 4) -> f_134(v37, v38, v39, v40, v41, v45, 1, v46, v51, v47, v48, v49, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_134(v37, v38, v39, v40, v41, v45, 1, v46, v51, v47, v48, v49, 0, 3, 4) -> f_135(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) :|: 1 + v53 = v46
15.90/5.02	f_135(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) -> f_136(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) :|: TRUE
15.90/5.02	f_136(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) -> f_137(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) :|: TRUE
15.90/5.02	f_137(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) -> f_122(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) :|: TRUE
15.90/5.02	f_122(v37, v38, v39, v40, v41, v42, 1, v44, v45, v46, v47, v48, v49, 0, 3, 4) -> f_123(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_66 -> f_67(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2
15.90/5.02	f_67(v1, v2, 3, 1, 4) -> f_68(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4
15.90/5.02	f_68(v1, v3, v2, v4, 3, 1, 4) -> f_69(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6
15.90/5.02	f_69(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_70(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
15.90/5.02	f_70(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_71(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
15.90/5.02	f_71(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_72(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
15.90/5.02	f_72(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_73(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
15.90/5.02	f_73(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_74(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
15.90/5.02	f_74(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_75(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE
15.90/5.02	f_75(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_76(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0
15.90/5.02	f_76(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_77(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 < v7
15.90/5.02	f_77(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_79(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_79(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_81(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: TRUE
15.90/5.02	f_81(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_83(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_83(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_84(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_84(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_85(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) :|: v11 = v7 + v9
15.90/5.02	f_85(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) -> f_86(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) :|: TRUE
15.90/5.02	f_86(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) -> f_87(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) :|: 0 = 0
15.90/5.02	f_87(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) -> f_88(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: 1 + v13 = v9
15.90/5.02	f_88(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_89(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE
15.90/5.02	f_89(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_90(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE
15.90/5.02	f_90(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_106(v1, v3, v5, v7, v9, v7, 1, v9, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE
15.90/5.02	f_106(v19, v20, v21, v22, v23, v24, 1, v26, v27, v28, v29, v30, v31, 0, 3, 4) -> f_122(v19, v20, v21, v22, v23, v24, 1, v26, v27, v28, v29, v30, v31, 0, 3, 4) :|: TRUE
15.90/5.02	Combined rules. Obtained 2 rulesP rules:
15.90/5.02	f_123(v37:0, v38:0, v39:0, v40:0, v41:0, v45:0, 1, v42:0, v44:0, 1 + v53:0, v47:0, v48:0, v49:0, 0, 3, 4) -> f_123(v37:0, v38:0, v39:0, v40:0, v41:0, v45:0 + (1 + v53:0), 1, v45:0, 1 + v53:0, v53:0, v47:0, v48:0, v49:0, 0, 3, 4) :|: v45:0 > 0
15.90/5.02	f_66 -> f_123(v1:0, v3:0, v5:0, v7:0, 1 + v13:0, v7:0 + (1 + v13:0), 1, v7:0, 1 + v13:0, v13:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 0, 3, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 0
15.90/5.02	Filtered unneeded arguments:
15.90/5.02	   f_123(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_123(x6, x10)
15.90/5.02	Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules:
15.90/5.02	f_123(v45:0, sum~cons_1~v53:0) -> f_123(v45:0 + (1 + v53:0), v53:0) :|: v45:0 > 0 && sum~cons_1~v53:0 = 1 + v53:0
15.90/5.02	f_66 -> f_123(v7:0 + (1 + v13:0), v13:0) :|: v7:0 > 0
15.90/5.02	
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(8)
15.90/5.02	Obligation:
15.90/5.02	Rules:
15.90/5.02	f_123(v45:0, sum~cons_1~v53:0) -> f_123(v45:0 + (1 + v53:0), v53:0) :|: v45:0 > 0 && sum~cons_1~v53:0 = 1 + v53:0
15.90/5.02	f_66 -> f_123(v7:0 + (1 + v13:0), v13:0) :|: v7:0 > 0
15.90/5.02	Start term: f_66
15.90/5.02	
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(9) IRS2T2 (EQUIVALENT)
15.90/5.02	Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:
15.90/5.02	
15.90/5.02	   (f_123_2,1)
15.90/5.02	   (f_66_2,2)
15.90/5.02	
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(10)
15.90/5.02	Obligation:
15.90/5.02	START: 2;
15.90/5.02	
15.90/5.02	FROM: 1;
15.90/5.02	oldX0 := x0;
15.90/5.02	oldX1 := x1;
15.90/5.02	oldX2 := oldX1 - 1;
15.90/5.02	assume(oldX0 > 0 && oldX1 = 1 + oldX2);
15.90/5.02	x0 := oldX0 + (1 + oldX2);
15.90/5.02	x1 := oldX1 - 1;
15.90/5.02	TO: 1;
15.90/5.02	
15.90/5.02	FROM: 2;
15.90/5.02	oldX0 := x0;
15.90/5.02	oldX1 := x1;
15.90/5.02	oldX2 := nondet();
15.90/5.02	oldX3 := nondet();
15.90/5.02	assume(oldX2 > 0);
15.90/5.02	x0 := oldX2 + (1 + oldX3);
15.90/5.02	x1 := oldX3;
15.90/5.02	TO: 1;
15.90/5.02	
15.90/5.02	
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(11) T2 (EQUIVALENT)
15.90/5.02	No proof given by T2
15.90/5.02	----------------------------------------
15.90/5.02	
15.90/5.02	(12)
15.90/5.02	YES
15.95/5.06	EOF